https://www.speedsolving.com/wiki/api.php?action=feedcontributions&user=Username&feedformat=atomSpeedsolving.com Wiki - User contributions [en]2021-06-16T14:40:45ZUser contributionsMediaWiki 1.34.0https://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457523-Color Method2021-03-10T08:18:21Z<p>Username: </p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same set of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of a [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in [[Metric#STM|STM]]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally perceived as being hard for beginners to understand, is avoided<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither [[Speedcubing|speed solving]] nor [[Fewest_Moves_Challenge|fewest moves solving]] (when considering the method as it is)<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather. To see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above. <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457483-Color Method2021-03-10T06:25:46Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same set of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of a [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in [[Metric#STM|STM]]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally perceived as being hard for beginners to understand, is avoided<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither [[Speedcubing|speed solving]] nor [[Fewest_Moves_Challenge|fewest moves solving]] (when considering the method as it is)<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather. To see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above. <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457473-Color Method2021-03-09T20:57:41Z<p>Username: /* Pros */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of a [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in [[Metric#STM|STM]]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally perceived as being hard for beginners to understand, is avoided<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither [[Speedcubing|speed solving]] nor [[Fewest_Moves_Challenge|fewest moves solving]] (when considering the method as it is)<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather. To see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above. <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457413-Color Method2021-03-09T18:20:57Z<p>Username: /* Cons */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of a [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in [[Metric#STM|STM]]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally perceived as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither [[Speedcubing|speed solving]] nor [[Fewest_Moves_Challenge|fewest moves solving]] (when considering the method as it is)<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather. To see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above. <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457403-Color Method2021-03-09T17:37:18Z<p>Username: /* Cons */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of a [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in [[Metric#STM|STM]]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally perceived as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither [[Speedcubing|speed solving]] nor [[Fewest_Moves_Challenge|fewest moves solving]] (if considering the method as it is)<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather. To see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above. <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457393-Color Method2021-03-09T17:16:53Z<p>Username: /* Cons */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of a [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in [[Metric#STM|STM]]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally perceived as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither [[Speedcubing|speed solving]] nor [[Fewest_Moves_Challenge|fewest moves solving]] (if considered the method as it is)<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather. To see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above. <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457383-Color Method2021-03-09T17:11:45Z<p>Username: /* Cons */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of a [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in [[Metric#STM|STM]]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally perceived as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither [[Speedcubing|speed solving]] nor [[Fewest_Moves_Challenge|fewest moves solving]] (if considered the method as is)<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather. To see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above. <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457373-Color Method2021-03-09T17:04:03Z<p>Username: /* External Links */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of a [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in [[Metric#STM|STM]]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally perceived as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither [[Speedcubing|speed solving]] nor [[Fewest_Moves_Challenge|fewest moves solving]] (if considered the method as a whole)<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather. To see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above. <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457363-Color Method2021-03-09T17:02:11Z<p>Username: /* Pros */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of a [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in [[Metric#STM|STM]]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally perceived as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither [[Speedcubing|speed solving]] nor [[Fewest_Moves_Challenge|fewest moves solving]] (if considered the method as a whole)<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457353-Color Method2021-03-09T17:01:16Z<p>Username: /* Cons */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of a [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in [[Metric#STM|STM]]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither [[Speedcubing|speed solving]] nor [[Fewest_Moves_Challenge|fewest moves solving]] (if considered the method as a whole)<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457343-Color Method2021-03-09T16:50:32Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of a [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in [[Metric#STM|STM]]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither [[Speedcubing|speed solving]] nor [[Fewest_Moves_Challenge|fewest moves solving]]<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457333-Color Method2021-03-09T16:48:31Z<p>Username: /* Cons */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in [[Metric#STM|STM]]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither [[Speedcubing|speed solving]] nor [[Fewest_Moves_Challenge|fewest moves solving]]<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457323-Color Method2021-03-09T16:35:03Z<p>Username: </p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in [[Metric#STM|STM]]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457313-Color Method2021-03-09T16:33:18Z<p>Username: /* Average move count in STM */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in STM==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457303-Color Method2021-03-09T16:32:51Z<p>Username: /* Average move count in STM */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in STM==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp;9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457293-Color Method2021-03-09T16:31:25Z<p>Username: /* Average move count in STM */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in STM==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ &nbsp; 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457283-Color Method2021-03-09T16:30:48Z<p>Username: /* Average move count in STM */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in STM==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457273-Color Method2021-03-09T16:30:37Z<p>Username: /* Average move count in STM */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in STM==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457263-Color Method2021-03-09T16:29:09Z<p>Username: /* Average move count [STM] */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count in STM==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457253-Color Method2021-03-09T16:28:42Z<p>Username: /* Average move count */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count [STM]==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457243-Color Method2021-03-09T16:27:11Z<p>Username: /* Average move count */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count==<br />
<br />
Step 1 ~ 14.<br><br />
Step 2 ~ 9 (or ~ 12 if applying 2a).<br><br />
Step 3 ~ 31.<br><br />
Step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457233-Color Method2021-03-09T16:26:10Z<p>Username: /* Average move count */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count==<br />
<br />
Average move count for step 1 ~ 14.<br><br />
Average move count for step 2 ~ 9 (or ~ 12 if applying 2a).<br><br />
Average move count for step 3 ~ 31.<br><br />
Average move count for step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457223-Color Method2021-03-09T16:24:49Z<p>Username: </p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Average move count==<br />
<br />
Average move count for step 1 ~ 14.<br />
Average move count for step 2 ~ 9 (or ~ 12 if applying 2a).<br />
Average move count for step 3 ~ 31.<br />
Average move count for step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457213-Color Method2021-03-09T15:51:47Z<p>Username: /* External Links */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for step 1 ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for step 2 ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for step 3 ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see the algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457203-Color Method2021-03-09T15:21:14Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for step 1 ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for step 2 ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for step 3 ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for step 4 ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457193-Color Method2021-03-09T15:07:35Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of [[algorithm|algorithms]] (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for this step ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for this step ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for this step ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for this step ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457183-Color Method2021-03-09T15:05:29Z<p>Username: /* Similarities with Human Thistlethwaite Algorithm (HTA) */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of algorithms (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for this step ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for this step ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for this step ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for this step ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457173-Color Method2021-03-09T15:04:46Z<p>Username: /* External Links */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of algorithms (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for this step ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for this step ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for this step ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for this step ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather.<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457163-Color Method2021-03-09T15:04:15Z<p>Username: /* External Links */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of algorithms (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for this step ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for this step ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for this step ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for this step ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457153-Color Method2021-03-09T15:03:48Z<p>Username: /* External Links */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of algorithms (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for this step ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for this step ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for this step ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for this step ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
* [https://mfeather1.github.io/3ColorCube/hta.html Similarities with Human Thistlethwaite Algorithm] by Michael Feather<br />
<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457143-Color Method2021-03-09T14:59:04Z<p>Username: /* External Links */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of algorithms (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for this step ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for this step ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for this step ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for this step ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (to see algorithms in use, look at the [[3-Color_Method#Example_Solves|Example Solves]] section above). <br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457133-Color Method2021-03-09T14:57:43Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of algorithms (which can be found in the [[3-Color_Method#External_Links|External Links]] section below if needed).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for this step ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for this step ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for this step ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for this step ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of solving sequences, tips, advanced approaches & more.<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (see algorithms in use in the section above). <br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457123-Color Method2021-03-09T14:56:16Z<p>Username: /* External Links */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of solving sequences (for detailed explanation see the [[3-Color_Method#Example_Solves|Example Solves]] and [[3-Color_Method#External_Links|External Links]] sections below).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for this step ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for this step ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for this step ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for this step ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of solving sequences, tips, advanced approaches & more.<br />
* [https://mfeather1.github.io/3ColorCube/quick.html List of algorithms] by Michael Feather (see algorithms in use in the section above). <br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457113-Color Method2021-03-09T14:52:17Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same list of solving sequences (for detailed explanation see the [[3-Color_Method#Example_Solves|Example Solves]] and [[3-Color_Method#External_Links|External Links]] sections below).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for this step ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for this step ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for this step ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for this step ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of solving sequences, tips, advanced approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457103-Color Method2021-03-09T14:48:48Z<p>Username: /* Cons */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of solving sequences] (for detailed explanation see the [[3-Color_Method#Example_Solves|Example Solves]] and [[3-Color_Method#External_Links|External Links]] sections below).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for this step ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for this step ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for this step ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for this step ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Suitable for neither speed solving nor fewest moves solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of solving sequences, tips, advanced approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457093-Color Method2021-03-09T14:47:40Z<p>Username: /* Pros */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of solving sequences] (for detailed explanation see the [[3-Color_Method#Example_Solves|Example Solves]] and [[3-Color_Method#External_Links|External Links]] sections below).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for this step ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for this step ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for this step ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for this step ~ 17.<br />
<br />
==Pros==<br />
*Concept of [[Edge_Orientation#3-axis_EO|edge orientation]], generally considered as being hard for beginners to understand, is not introduced<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of solving sequences, tips, advanced approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457083-Color Method2021-03-09T14:39:17Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of solving sequences] (for detailed explanation see the [[3-Color_Method#Example_Solves|Example Solves]] and [[3-Color_Method#External_Links|External Links]] sections below).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
Average move count for this step ~ 14. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
Average move count for this step ~ 9 (or ~ 12 if applying 2a).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
Average move count for this step ~ 31.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
Average move count for this step ~ 17.<br />
<br />
==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of solving sequences, tips, advanced approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457073-Color Method2021-03-09T14:35:31Z<p>Username: </p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2 [[Metric#STM|STM]]<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of solving sequences] (for detailed explanation see the [[3-Color_Method#Example_Solves|Example Solves]] and [[3-Color_Method#External_Links|External Links]] sections below).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of solving sequences, tips, advanced approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457053-Color Method2021-03-08T21:54:50Z<p>Username: /* External Links */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of solving sequences] (for detailed explanation see the [[3-Color_Method#Example_Solves|Example Solves]] and [[3-Color_Method#External_Links|External Links]] sections below).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of solving sequences, tips, advanced approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457043-Color Method2021-03-08T21:44:05Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of solving sequences] (for detailed explanation see the [[3-Color_Method#Example_Solves|Example Solves]] and [[3-Color_Method#External_Links|External Links]] sections below).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of solving sequences, tips, advanced solving approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457033-Color Method2021-03-08T21:41:37Z<p>Username: /* External Links */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of solving sequences] (for detailed explanation see the [[3-Color_Method#External_Links|External Links]] section below).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of solving sequences, tips, advanced solving approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457023-Color Method2021-03-08T21:38:36Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of solving sequences] (for detailed explanation see the [[3-Color_Method#External_Links|External Links]] section below).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457013-Color Method2021-03-08T21:35:34Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of algorithms] (for detailed explanation of algorithms see the [[3-Color_Method#External_Links|External Links]] section below).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=457003-Color Method2021-03-08T21:32:37Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of algorithms] (for detailed explanation of algorithms see [[3-Color_Method#External_Links|External Links]] section below).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=456993-Color Method2021-03-08T21:31:27Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of algorithms] (for detailed explanation of algorithms see [[3-Color_Method#External_Links|External Links]] section).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=456983-Color Method2021-03-08T21:30:46Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of algorithms] (for detailed explanation of algorithms see [[Metric#STM|External Links]] section).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=456963-Color Method2021-03-08T21:29:44Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of algorithms] (for detailed explanation of algorithms see [[External Links]] section).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=456943-Color Method2021-03-08T21:28:43Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of algorithms] (for detailed explanation of algorithms see [[#External Links]] section).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=456923-Color Method2021-03-08T21:28:19Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
<br />
The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
<br />
==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of algorithms] (for detailed explanation of algorithms see [[#External_Links]] section).<br />
<br />
'''Solving the corners'''<br />
<br />
'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
<br />
'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
<br />
<blockquote>'''2a.''' Corners can be solved in both layers.<br />
<br />
'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
<br />
'''2c.''' Corners can be solved in neither layers.</blockquote><br />
<br />
Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
<br />
'''Solving the edges'''<br />
<br />
'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
<br />
Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
<br />
After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
<br />
'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
<br />
==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
<br />
==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
<br />
==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
<br />
* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
<br />
==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
<br />
After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
<br />
An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
<br />
One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
<br />
== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
<br />
==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
<br />
<br />
[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Usernamehttps://www.speedsolving.com/wiki/index.php?title=3-Color_Method&diff=456913-Color Method2021-03-08T21:27:24Z<p>Username: /* Steps */</p>
<hr />
<div>{{Method Infobox<br />
|name=3-Color<br />
|image=3-Color-Method.png<br />
|proposers=[[Michael Feather]]<br />
|year=1980<br />
|anames=<br />
|variants=<br />
|steps=4<br />
|algs=12<br />
|moves=75 ± 2<br />
|purpose=<sup></sup><br />
* novelty [[Beginner method]]<br />
}}<br />
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The '''3-Color Method''' is a unique solving method developed completely independently by [[Michael Feather]] in 1980. The method name is derived from the 3-Color Cube, which is a Rubik's Cube having tri-color scheme that uses the same color on opposite [[face|faces]].<br />
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==Steps==<br />
There are 2 steps for a 3-Color Cube and 4 steps for a 6-Color Cube with the same [https://mfeather1.github.io/3ColorCube/quick.html list of algorithms] (for detailed explanation of algorithms see [[External Links]] section).<br />
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'''Solving the corners'''<br />
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'''1.''' Orient corners. Either think of the puzzle as a 3-Color Cube (i.e. Red=Orange, Blue=Green, Yellow=White in case of [[BOY color scheme]]) and solve corners as such, or think of the puzzle as a 6-Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face. <br />
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'''2.''' Permute corners on a 6-Color Cube, three possible cases can be reached using half turns only: <br />
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<blockquote>'''2a.''' Corners can be solved in both layers.<br />
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'''2b.''' Corners can be solved in one layer, diagonal swap of corners is required in the other layer. <br />
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'''2c.''' Corners can be solved in neither layers.</blockquote><br />
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Convert 2b or 2c to 2a using an [[algorithm]] (Michael Feather calls them <i>Waterwheel Sequence</i> for 2b and <i>Parallel Sequence</i> for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).<br />
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'''Solving the edges'''<br />
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'''3.''' Orient edges. Either think of the puzzle as a 3-Color Cube and solve edges as such, or think of the puzzle as a 6-Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.<br />
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Use only half turns and/or cube rotations as setup moves between all solving sequences. <br />
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After finishing this step, a 3-Color Cube will be solved and a 6-Color Cube will be solvable using half turns only.<br />
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'''4.''' On a 6-Color Cube, restore corners and permute edges.<br />
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==Pros==<br />
*Low number of algorithms<br />
*Short algorithms; average number of moves per algorithm: 5.7 in [[Metric#STM|STM]]<br />
*Room for improvement of a move count; current average move count in STM for step 1 ~ 14, for step 2 ~ 9 (or ~ 12 with applying 2a), for step 3 ~ 31, for step 4 ~ 17<br />
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==Cons==<br />
*Thinking of a 6-Color Cube as a 3-Color Cube could seem rather unintuitive at first<br />
*It's not always possible to exactly match the setup for a solving sequence<br />
*Not suitable for speed solving<br />
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==Example Solves==<br />
* [https://mfeather1.github.io/3ColorCube/corner_demo.html Example solves of corners on a 3-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_demo.html Example solves of edges on a 3-Color Cube]<br />
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* [https://mfeather1.github.io/3ColorCube/corner_6c_demo.html Example solves of corners on a 6-Color Cube]<br />
* [https://mfeather1.github.io/3ColorCube/edge_6c_demo.html Example solves of edges on a 6-Color Cube]<br />
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==Similarities with Human Thistlethwaite Algorithm (HTA)==<br />
While the 3-Color Method is very different from [[HTA]], there are some obvious similarities in that both start by solving as a 3-Color Cube and both finish by reaching a configuration that can be solved with half turns only. The 3-Color Method can be modified to work a bit more like HTA by doing the following. <br />
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After solving the corners on two opposite faces (like the [https://mfeather1.github.io/3ColorCube/starter.html 3-Color Starter Cube]), instead of solving the corners on the remaining faces, solve the edges on the two faces with the solved corners.<br />
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An advantage of doing it this way is that after solving the corners & edges on two opposite faces (as 3-Color Cube) the setups for the 3-color edge sequences can always be matched exactly when solving the rest of the cube, no need to make partial matches where only some of the misplaced facelets/stickers get fixed. Another advantage is that the cases in which no misplaced facelets can be fixed are avoided.<br />
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One other difference is with the solve order of 6-color corners in relation to 3-color edges. When solving this way, the corners should only be solved after the edges otherwise the above advantages have exceptions.<br />
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== See also ==<br />
* [[Half Turn Reduction]]<br />
* [[Human Thistlethwaite Algorithm]]<br />
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==External Links==<br />
* [https://mfeather1.github.io/3ColorCube/ Home page of the 3-Color Method] by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.<br />
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[[Category:3x3x3 methods]]<br />
[[Category:3x3x3 beginner methods and substeps]]<br />
[[Category:3x3x3 corners first methods]]<br />
[[Category:Experimental methods]]</div>Username