Difference between revisions of "3Color Method"
(→Cons) 
(→Cons) 

Line 57:  Line 57:  
*Thinking of a 6Color Cube as a 3Color Cube could seem rather unintuitive at first  *Thinking of a 6Color Cube as a 3Color Cube could seem rather unintuitive at first  
*It's not always possible to exactly match the setup for a solving sequence  *It's not always possible to exactly match the setup for a solving sequence  
−  *Suitable for neither [[Speedcubingspeed solving]] nor [[Fewest_Moves_Challengefewest moves solving]] (if  +  *Suitable for neither [[Speedcubingspeed solving]] nor [[Fewest_Moves_Challengefewest moves solving]] (if considering the method as it is) 
==Example Solves==  ==Example Solves== 
Revision as of 17:37, 9 March 2021

The 3Color Method is a unique solving method developed completely independently by Michael Feather in 1980. The method name is derived from the 3Color Cube, which is a Rubik's Cube having tricolor scheme that uses the same color on opposite faces.
Contents
Steps
There are 2 steps for a 3Color Cube and 4 steps for a 6Color Cube with the same list of algorithms (which can be found in the External Links section below if needed).
Solving the corners
1. Orient corners. Either think of the puzzle as a 3Color 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 6Color Cube and orient all corner stickers in a way that they are matching either the center color or that of the opposite face.
2. Permute corners on a 6Color Cube, three possible cases can be reached using half turns only:
2a. Corners can be solved in both layers.
2b. Corners can be solved in one layer, diagonal swap of corners is required in the other layer.
2c. Corners can be solved in neither layers.
Convert 2b or 2c to 2a using an algorithm (Michael Feather calls them Waterwheel Sequence for 2b and Parallel Sequence for 2c), then continue by solving the edges (or apply 2a first and continue by solving the edges).
Solving the edges
3. Orient edges. Either think of the puzzle as a 3Color Cube and solve edges as such, or think of the puzzle as a 6Color Cube and orient all edge stickers in a way that they are matching either the center color or that of the opposite face.
Use only half turns and/or cube rotations as setup moves between all solving sequences.
After finishing this step, a 3Color Cube will be solved and a 6Color Cube will be solvable using half turns only.
4. On a 6Color Cube, restore corners and permute edges.
Average move count in STM
Step 1 ~ 14.
Step 2 ~ 9 (or ~ 12 if applying 2a).
Step 3 ~ 31.
Step 4 ~ 17.
Pros
 Concept of edge orientation, generally perceived as being hard for beginners to understand, is not introduced
 Low number of algorithms
 Short algorithms; average number of moves per algorithm: 5.7
Cons
 Thinking of a 6Color Cube as a 3Color Cube could seem rather unintuitive at first
 It's not always possible to exactly match the setup for a solving sequence
 Suitable for neither speed solving nor fewest moves solving (if considering the method as it is)
Example Solves
See also
External Links
 Home page of the 3Color Method by Michael Feather. Resource of algorithms, tips, advanced solving approaches & more.
 List of algorithms by Michael Feather. To see the algorithms in use, look at the Example Solves section above.
 Similarities with Human Thistlethwaite Algorithm by Michael Feather.