Speedsolving.com Wiki - User contributions [en]

Talk:2-Gen

2017-05-15T10:36:59Z

Cuc:

On the [[2GLL]] and [[CPLS]] page, there is a link to [[2-generator]], which does not exist. Perhaps this page should be renamed, or have one of them (2-gen or 2-generator) redirect to the other. -Erzz
Changed those two pages so that 2-generator now links to 2-gen. --[[User:Erzz|Erzz]] 15:19, 7 June 2011 (EDT)

I just discovered that the 2x2 Cube can be generated by <F, R, L>, e.g., Ux = R' L Fx L' R. Hence, we can also generate <F, R, L, U>, <F, R, L, U, B> and <F, R, L, U, B, D> from <F, R, L>. It's been known for a long time that the 3x3 Cube can be generated by <F, B, R, L, D> as Ux = R L' F2 B2 R L' Dx L R' B2 F2 L R'. On [https://www.speedsolving.com/forum/threads/the-entire-cube-is-2-gen.19751] we find a discussion that the 3x3 Cube (and hence the 2x2 cube) are both 2-gen. [[User:Cuc|Cuc]] ([[User talk:Cuc|talk]]) 10:36, 15 May 2017 (UTC)

OLL (2x2x2)

2017-04-25T01:37:37Z

Cuc: Added some formulas that are shorter or easier than the mentioned ones. Also, diversified the length for the different methods.

__NOTOC__
__NOEDITSECTION__
These algorithms [[orientation|orient]] the top layer on a [[2x2x2]]. Three variants of these [[algorithm]]s are given depending on how they affect the rest of the cube. The parts of algorithms are grouped together for easier memorization and visual distinction.
# Algs which don't affect the bottom layer (suitable for both [[LBL]] and [[Ortega]]) are unmarked
# Algs which affect bottom layer permutation (suitable for [[Ortega]] only) are marked with an '''O''' (these are also useful for [[EG]] 1)
# Algs which mix bottom and top layers (suitable if used with [[Guimond]]-style separation) are marked with a '''G'''

Below, the number of optimal moves are mentioned as a triple (x, y, z) where x is the number of optimal moves for case 1., y for case 2., and z for case 3. above. '''Note.''' A question mark means that number of optimal moves is not known. But always x ≥ y ≥ z.
<table cellspacing='5' cellpadding='5'><tr>
<td valign='top'>
== Sune ==
{{case
|image=2x2Su.gif
|name=Sune
|methods=[[OLL (2x2x2)]]
|optimal=(7, 6, 5) [[HTM]]
|text=
}}
{{Alg|(R U R' U) (R U2' R')|OLL|cube=2x2x2|comment=}}
{{Alg|R D' R2 F2 D' F|OLL|cube=2x2x2|comment='''O'''}}
{{Alg|R D' R2 (y') R2 D' R|OLL|cube=2x2x2|comment='''O'''}}
{{Alg| L' D L2 (y) L2 D L'|OLL|cube=2x2x2|comment='''O'''}}
{{Alg|R2 U' R U' R|OLL|cube=2x2x2|comment='''G'''}}
</td>
<td valign='top'>
== Anti-Sune ==
{{case
|image=2x2AS.gif
|name=Anti-Sune
|methods=[[OLL (2x2x2)]]
|optimal=(7, 6, 5) [[HTM]]
|text=
}}
{{Alg|R U2 R' U' R U' R'|OLL|cube=2x2x2|comment=}}
{{Alg|R D' R2 F2 D' F|OLL|cube=2x2x2|comment='''O'''}}
{{Alg|R D' R2 (y') R2 D' R|OLL|cube=2x2x2|comment='''O'''}}
{{Alg|R2 U R' U R|OLL|cube=2x2x2|comment='''G'''}}
</td>
</tr>
<tr>
<td valign='top'>
== Bowtie ==
{{case
|image=2x2Bo.gif
|name=Bowtie
|methods=[[OLL (2x2x2)]]
|optimal=(7, ?, 5) [[HTM]]
|text=
}}
{{Alg|(y') (F' U F) (U R U' R')|OLL|cube=2x2x2|comment=}}
{{Alg|F (R U' R') U' (R U R') F'|OLL|cube=2x2x2|comment=}}
{{Alg|F R' F' R U R U' R'|OLL|cube=2x2x2|comment=}}
{{Alg|R' F R B' R' F' R B|OLL|cube=2x2x2|comment=}}
{{Alg|L' U R D' R' U' R U|OLL|cube=2x2x2|comment=}}
{{Alg|(y) F R U2 R' F|OLL|cube=2x2x2|comment='''G'''}}
</td>
<td valign='top'>
== Headlights ==
{{case
|image=2x2He.gif
|name=Headlights
|methods=[[OLL (2x2x2)]]
|optimal=(6, 6, 5) [[HTM]]
|text=
}}
{{Alg|(y2) F (R U R' U') F'|OLL|cube=2x2x2|comment=}}
{{Alg|F (U R U' R') F'|OLL|cube=2x2x2|comment=}}
{{Alg|R' F' U' F U R|OLL|cube=2x2x2|comment=}}
{{Alg|(y) R U2 R U2 R U R2|OLL|cube=2x2x2|comment='''O'''}}
{{Alg|(y') R U2 R U2 R|OLL|cube=2x2x2|comment='''G'''}}
</td>
</tr>
<tr>
<td valign='top'>
== H ==
{{case
|image=2x2H.gif
|name=H
|methods=[[OLL (2x2x2)]]
|optimal=(5, ?, 3) [[HTM]]
|text=
}}
{{Alg|R2 U2' R' U2 R2|OLL|cube=2x2x2|comment=}}
{{Alg|R2 U2 R|OLL|cube=2x2x2|comment='''G'''}}
</td>
<td valign='top'>
== T ==
{{case
|image=2x2T.gif
|name=T
|methods=[[OLL (2x2x2)]]
|optimal=(7, ?, 6) [[HTM]]
|text=
}}
{{Alg|(y) (R U R' U') (F' U' F)|OLL|cube=2x2x2|comment=}}
{{Alg|(R U R' U') (R' F R F')|OLL|cube=2x2x2|comment=}}
{{Alg|R U R' U' L' U R U' (x')|OLL|cube=2x2x2|comment=}}
{{Alg|(y2) R U' R' F' U F |OLL|cube=2x2x2|comment='''G'''}}
</td>
</tr>
<tr>
<td valign='top'>
== Pi ==
{{case
|image=2x2Pi.gif
|name=Pi
|methods=[[OLL (2x2x2)]]
|optimal=(9, 7, 7) [[HTM]]
|text=
}}
{{Alg|U R U2 R2 U' R2 U' R2 U2 R|OLL|cube=2x2x2|comment=}}
{{Alg|y F (R U R' U') (R U R' U') F'|OLL|cube=2x2x2|comment=}}
{{Alg|y' F (U R U' R') (U R U' R') F'|OLL|cube=2x2x2|comment=}}
{{Alg|(R U R2) F' (R2 U R)|OLL|cube=2x2x2|comment='''O'''}}
{{Alg|R' F R2 U' R2' F R|OLL|cube=2x2x2|comment='''O'''}}
{{Alg|R U R' L' U' L R U R'|OLL|cube=2x2x2|comment='''O'''}}
{{Alg|(R U R' U') (R U2 R')|OLL|cube=2x2x2|comment='''G'''}}
</td>
<td valign='top'>
== Note: ==
For the algs marked '''G''', the inverse of the final move may be used to create a better [[Guimond|separation]] case.
</td>
</table>

== See also ==
* [[CLL]]
* [[PBL]]
* [[CxLL_Algorithms#Navigator|CxLL Algs]] (First column for OLLs)
* [[OLL]] (for 3x3x3)
* [[Layer-By-Layer]]
* [[Ortega]]
* [[Guimond]]

== External links ==
* Speedsolving.com: [http://www.speedsolving.com/forum/showpost.php?p=29906&postcount=9 OLL U/D Mixing algs]
* [http://www.cubewhiz.com/ortegaoll.php Bob Burton's OLL algs]

[[Category:2x2x2 substeps]]
[[Category:Algorithms]]

2x2x2 Cube

2017-04-25T00:19:56Z

Cuc: /* See also */

{{Puzzle Infobox|
|NAME=2x2x2
|IMAGE=Wiki 2x2x2 solved.jpg
|ALTERNATIVENAMES=Pocket Cube, Mini Cube, 2x2
|SHAPE=Cube
|MECHANISM=2x2x2
|INVENTOR=Erno Rubik
|YEAR=1981
|COMPANIES=Ideal Toy}}

The '''2x2x2 Cube''' (also known as a '''Pocket Cube''' or '''Mini Cube''' and normally referred to as the '''2x2x2''' or '''2x2''') is a twistable [[puzzle]] in the shape of a [[cube]] that is cut once along each of three axes. The main brands are the [[Rubik's]] and [[East Sheen]] cubes, which were patented by [[Erno Rubik]] in 1983 and [[Chen Sen Li]] in 1998, respectively. For speedsolving, commonly used brands include the [[LanLan]], the [[Ghosthand 2x2x2|Ghosthand]] and the [[WitTwo]]. This puzzle has 8 [[corner]] pieces only. The 2x2x2 cube has 3,674,160 possible positions (assuming one piece is always solved from orienting the puzzle), each of which can be solved in 11 turns ([[HTM]]) / 14 turns ([[QTM]]) or fewer.

== See also ==
* [[:Category:2x2x2_beginner_methods|2x2x2 Beginner Methods]]
* [[:Category:2x2x2_speedsolving_methods|2x2x2 Speedsolving Methods]]
* [[2x2x2 Cubes]] (brands)
* [http://en.wikipedia.org/wiki/Pocket_Cube The Wikipedia article]

{{Regularcubics}}
{{Cubics}}

[[Category:Twisty puzzles]]
[[Category:Twisty puzzles used in WCA-official events]]

2x2x2 Cube

2017-04-25T00:18:11Z

Cuc: /* See also */ added link to existing solution categories

{{Puzzle Infobox|
|NAME=2x2x2
|IMAGE=Wiki 2x2x2 solved.jpg
|ALTERNATIVENAMES=Pocket Cube, Mini Cube, 2x2
|SHAPE=Cube
|MECHANISM=2x2x2
|INVENTOR=Erno Rubik
|YEAR=1981
|COMPANIES=Ideal Toy}}

The '''2x2x2 Cube''' (also known as a '''Pocket Cube''' or '''Mini Cube''' and normally referred to as the '''2x2x2''' or '''2x2''') is a twistable [[puzzle]] in the shape of a [[cube]] that is cut once along each of three axes. The main brands are the [[Rubik's]] and [[East Sheen]] cubes, which were patented by [[Erno Rubik]] in 1983 and [[Chen Sen Li]] in 1998, respectively. For speedsolving, commonly used brands include the [[LanLan]], the [[Ghosthand 2x2x2|Ghosthand]] and the [[WitTwo]]. This puzzle has 8 [[corner]] pieces only. The 2x2x2 cube has 3,674,160 possible positions (assuming one piece is always solved from orienting the puzzle), each of which can be solved in 11 turns ([[HTM]]) / 14 turns ([[QTM]]) or fewer.

== See also ==
* [[:Category:2x2x2_beginner_methods]]
* [[:Category:2x2x2_speedsolving_methods]]
* [[2x2x2 Cubes]] (brands)
* [http://en.wikipedia.org/wiki/Pocket_Cube The Wikipedia article]

{{Regularcubics}}
{{Cubics}}

[[Category:Twisty puzzles]]
[[Category:Twisty puzzles used in WCA-official events]]

2x2x2 Cube

2017-04-25T00:11:06Z

Cuc: /* See also */ added link to existing solutions

{{Puzzle Infobox|
|NAME=2x2x2
|IMAGE=Wiki 2x2x2 solved.jpg
|ALTERNATIVENAMES=Pocket Cube, Mini Cube, 2x2
|SHAPE=Cube
|MECHANISM=2x2x2
|INVENTOR=Erno Rubik
|YEAR=1981
|COMPANIES=Ideal Toy}}

The '''2x2x2 Cube''' (also known as a '''Pocket Cube''' or '''Mini Cube''' and normally referred to as the '''2x2x2''' or '''2x2''') is a twistable [[puzzle]] in the shape of a [[cube]] that is cut once along each of three axes. The main brands are the [[Rubik's]] and [[East Sheen]] cubes, which were patented by [[Erno Rubik]] in 1983 and [[Chen Sen Li]] in 1998, respectively. For speedsolving, commonly used brands include the [[LanLan]], the [[Ghosthand 2x2x2|Ghosthand]] and the [[WitTwo]]. This puzzle has 8 [[corner]] pieces only. The 2x2x2 cube has 3,674,160 possible positions (assuming one piece is always solved from orienting the puzzle), each of which can be solved in 11 turns ([[HTM]]) / 14 turns ([[QTM]]) or fewer.

== See also ==
* [[Category:2x2x2_beginner_methods]]
* [[Category:2x2x2_speedsolving_methods]]
* [[2x2x2 Cubes]] (brands)
* [http://en.wikipedia.org/wiki/Pocket_Cube The Wikipedia article]

{{Regularcubics}}
{{Cubics}}

[[Category:Twisty puzzles]]
[[Category:Twisty puzzles used in WCA-official events]]

Corner Orientation

2017-01-23T18:45:36Z

Cuc: /* OLC 4 */ added a 2-gen formula

{{Substep Infobox
|name=Corner Orientation
|image=COinfo.png
|proposers=
|year=
|anames=CO
|variants=[[OCLL]]
|subgroup=
|algs=7
|moves=
|purpose=
* [[Speedsolving]], [[BLD]], [[FMC]]
}}
'''Corner Orientation''', abbrevaited '''CO''', the [[orientation]] of a [[cube]]'s [[corner]]s. There are three possible corner cubie orientations. CO is a [[substep]] in many [[method]]s.

For the [[last layer]] of the [[3x3x3 cube]] there are three main variations used for the seven cases of CO, one that is named [[Corner Orientation#Pure CO|pure CO]] wich orients the corners without affecting anything else, not even corner permutation, one preserves edge orientation wich is [[OCLL]] (OLL 21 - 27) and the last variation orients the corners ignoring edges (use any [[OLL]] that twists the same corners for that).

The separation of the corners to their correct layers on the [[Square-1]] is often wrongly named "corner orientation".

'''Algorithms'''; at this page you can find algortihms for two different variations of CO;
* [[Corner Orientation#Pure CO|Pure CO]]: orients corners preserving edge orientation and both corner and edge permutation.
* [[Corner Orientation#OCLL-EPP|OCLL-EPP]]: orients corners preserving edge orientation and permutation for the edges but not the corners (this method is seldomly used).

== See also ==
* [[Orientation]]
* [[Permutation]]
* [[Edge Orientation]]
* [[Corner Permutation]]
* [[OCLL]]
* [[Winter Variation]]
* [[CLS]]
* [[Partial Corner Control]]
= Pure CO =
'''Usage:''' Besides that these cases are a group in [[L4C]], [[L3C]], [[ZBLL]], [[ZZLL]];

[[3OP]] is a [[blindfold method]] that orients the pieces before they are placed into position, the algorithms here solves the corner orientation in at the most 3 steps, first, if needed two pieces, one in the top layer and one in the bottom layer to fix [[orientation parity]] and then 2-4 corners in the top layer and then the same for the bottom layer. ''Algs for pure orientation of the edges can be found at the [[ELL|ELL page]]''.

Any other BLD method, to fix orientation for corners that are in position but unoriented from the scramble (a few setup moves to get the pieces into the same layer may be needed then).

For [[FMC]] to solve the last pieces (but that won't give any WR, better to try some different start of the last layer that gives a easier case in the end).

===Algorithms===
All cases here have long [[algorithm]]s, the H case is actually the worst LL case of them all and the pi case is second worst. The good thing is that all cases are solvable using only two sides (RU [[2-gen]]). There are different sections for different types of algorithms, first is optimal 2-gen followed by 2-gens of any length. All cases can be solved using two or more [[Sune]], the third section is for these combinations (double, anti and mirrors included). Next comes algs optimal in [[Half Turn Metric]], using as many sides that is needed for that (2-6) and the last section is for any other alg that solves the case.

{{Algnote}}

==Two corners unoriented==
Note that the T-twist is the same case as the U-twist if you reorient the cube (for these images that will be z' y2).
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== U ===
{{case |image=Pure twist U.jpg
|name=U, [[Headlights]], Superman
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U2 R' U R' U2 R U2 R U R' U' R' U R (U2)}}

'''Any other 2-gen:'''
{{Alg|R' U2 R U' R U2 R' U2 R' U' R U R U' R' (U2)}}

'''Sune combos:'''
{{Alg|(R U2 R' U' R U' R') (L' U2 L U L' U L)}}

'''HTM optimal:'''
{{Alg|F U' R2 U R2 U F U' F2 D R2 D' R2}}

'''Any other:'''
{{Alg|(x) U2 R' U' R U' R' L' U2 L U L' U L R (x')}}
{{Alg|(z') (U R U' R')2 L' (R U R' U')2 L (z)}}
{{Alg|(y2) (R U R' U')2 L' (U R U' R')2 L}}
{{Alg|(F D' F' R' D' R) U (R' D R F D F') U'}}

|

=== T ===
{{case |image=Pure twist T.jpg
|name=T
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|(U) R2 U' R U' R2 U R2 U R U' R' U' R U R2}}

'''Any other 2-gen:'''
{{Alg|(U2) R U R' U' R' U R U2 R U2 R' U R' U2 R}}
{{Alg|(U2) R' U' R U' R' U2 R U2 R U R' U R U2 R'}}

'''Sune combos:'''
{{Alg|(L' U' L U' L' U2 L) (R U R' U R U2 R')}}

'''HTM optimal:'''
{{Alg|U R2 U' B R2 D' R2 D B2 U' B U R2}}

'''Any other:'''
{{Alg|(z') (R U R' U')2 L' (U R U' R')2 L (z)}}
{{Alg|(y2) (U R U' R')2 L' (R U R' U')2 L}}
{{Alg|(R' D R F D F') U (F D' F' R' D' R) U'}}

|-valign="top"
|

=== L ===
{{case |image=Pure twist L.jpg
|name=L, Bowtie
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=12 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U' R' U2 R' U2 R U R' U R U2 R U2 R' (U')}}

'''Any other 2-gen:'''
{{Alg|(U') R U2 R' U2 R' U' R U R U' R' U2 R' U2 R}}

'''Sune combos:'''
{{Alg|B' (R U2 R' U' R U' R') (L' U2 L U L' U L) B}}

'''HTM optimal:''' (12 move commutator)
{{Alg|U2 (R' B D2 B' R) U2 (R' B D2 B' R)}}
{{Alg|(F L' D2 L F') U2 (F L' D2 L F') U2}}

'''Any other:'''
{{Alg|R U' R' L' U2 L U L' U L R U2 R' U'}}
{{Alg|y' R' U L U' R U2 y' R' U' R F' R' U R U2}}
{{Alg|(F D' F' R' D' R) U2 (R' D R F D F') U2}}

|
|}

==Three corners unoriented==
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== S ===
{{case |image=Pure twist S.jpg
|name=S, Sune
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R' U R' U R2 U R' U R2 U R' U R U2 R U2 R2}}

'''Any other 2-gen:'''
{{Alg|R U R2 U' R2 U R U R' U' R U R U R U' R' (U)}}
{{Alg|(R U R' U') R' U' R' U' (R U R' U') R2 U2 R2 U2 R' (U')}}

'''Sune combos:'''
{{Alg|(U') (R' U2 R U R' U' R U R' U R) (U) (R U2 R' U' R U' R') (U2)}}

'''HTM optimal:'''
{{Alg|U' B U' F U2 B2 D' R2 U D F' U' B}}

'''Any other:'''
{{Alg|(y) U2 R' U2 R U R' U R' d' M' U2 M d' L2 (y) }}

|

=== -S ===
{{case |image=Pure twist aS.jpg
|name=-S, Antisune
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R2 U2 R' U R' U2 R' U R' U' R2 U' R2 U' R' U R}}

'''Any other 2-gen:'''
{{Alg|R2 U2 R' U2 R' U' R U' R2 U' R U' R2 U' R U' R}}
{{Alg|(U2) R U' R2 U' R U' R' U2 R' U2 R' U' R U' R2 (U)}}

'''Sune combos:'''
{{Alg|(U2) (R U2 R' U' R U R' U' R U' R') (U') (R' U2 R U R' U R) (U)}}

'''HTM optimal:'''
{{Alg|U R' U L U' D' F2 D R2 U2 L' U R'}}

'''Any other:'''
{{Alg|U2 R U2 R' U' R U' R d M U2 M' d L2}}

|}

==Four corners unoriented==
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== H ===
{{case |image=Pure twist H.jpg
|name=H
|methods=[[L4C]], [[BLD]]
|optimal=16 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U R2 U' R2 U' R U2 R U2 R U' R2 U' R2 U R (U)}}
{{Alg|R' U' R2 U R2 U R' U2 R' U2 R' U R2 U R2 U' R' (U')}}

'''Any other 2-gen:'''
{{Alg|(y) (R U R' U) (R U' R' U) (R U2') (R U' R' U') (R U R U) (R U' R)}}

'''Sune combos:'''
{{Alg|!}}

'''HTM optimal:'''
{{Alg|R U2 F2 R' U' F R' U2 F' U2 R2 F U R' F U2}}

'''Any other:'''
{{Alg|(r U2 R' U' R U R' U' R U' r') (M U' M' U2 M U' M')}}
{{Alg|(r' U2 R U R' U' R U R' U r) (M' U M U2 M' U M)}}
{{Alg|(L' U' L U' L' U L U' L' U2 L) (R U R' U R U' R' U R U2' R')}}
{{Alg|F U R d' R U' R' d R' U R d' R U' R' d l' U' (x')}}
{{Alg|d R2 U2 R' (y x) M2 U M2 U (x' y') U2 R2 d' M2 U M2}}

|

=== pi ===
{{case |image=Pure twist pi.jpg
|name=pi, Bruno
|methods=[[L4C]], [[BLD]]
|optimal=15 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U R2 U' R2 U' R2 U2 R2 U' R' U R U2 R' (U)}}
{{Alg|R' U' R2 U R2 U R2 U2 R2 U R U' R' U2 R (U')}}

'''Any other 2-gen:'''
{{Alg|(y) R U2 R' U' R U R2 U2 R2 U R2 U R2 U' R' (U')}}
{{Alg|(y') R' U2 R U R' U' R2 U2 R2 U' R2 U' R2 U R (U)}}

'''Sune combos:'''
{{Alg|!}}

'''HTM optimal:'''
{{Alg|U R L' D' R2 U2 R' D R2 U2 L U' L2 B2 L2}}

'''Any other:'''
{{Alg|(y) R' U' (R' F R F') (R U' R' U) (R' F R F') R U' R' U2 R}}
{{Alg|B (U L U' L') (U L U') L2 (x') U' M' U L U' M (x)}}
{{Alg|(y2) F U R U' R' U R U' R' F' r U R' U' M U R U' R'}}
{{Alg|(y' x) U' L U2 R' U2 L' U2 R U' (x' y') M' U' M U2 M' U' M U2}}

|}

= OCLL-EPP =
'''Orientation of the corners of the last layer - edges permutation preserved'''; orients the [[last layer]] corners preserving edge permutation but ignoring corner permutation.

'''Usage'''; to solve the [[last four corners]] in two looks if the edges are solved (3-look [[LLEF]], OCLL-EPP and [[CPLL]], total 26 algs. 4-look [[EO]], [[EP]], OCLL-EPP and CPLL, total 16 algs).

Average movecount is 9.63 turns optimally, CPLL is 9.12 turns optimally wich gives 19 moves on average for solving L4C in 2-looks like this.

===Algorithms===
{{Algnote}}

==Two corners==
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== U (EPP) ===
{{case |image=OCLL-EPP U.jpg
|name=U, Headlights, Superman
|methods=2-look [[L4C]]
|optimal=9 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|U' R' U2 R' U2 R U R' U R U2 R U2 R' U' R}}

'''HTM optimal:'''
{{Alg|R2 D' R U2 R' D R U2 R}}
{{Alg|R2 F2 R' B2 R F2 R' B2 R'}}
{{Alg|(z' y') U2 R2 U' L2 U R2 U' L2 U' (y z)}}

'''Any other:'''
{{Alg|R U2 R2 U L U' R2 U L' U R'}}
{{Alg|R' U2 R F' R' F U2 F' R F}}

|

=== T (EPP) ===
{{case |image=OCLL-EPP T.jpg
|name=T
|methods=2-look [[L4C]]
|optimal=8 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R' U' R' U R U2 R U2 R' U R' U2 R U2 R U}}

'''HTM optimal:'''
{{Alg|R' F' R B' R' F R B}}
{{Alg|(x) R' U' R D' R' U R D (x')}}
{{Alg|(x') R' D' R U' R' D R U (x)}}
{{Alg|(y') r U R' U' r' F R F'}}
{{Alg|(y) l U L' U' R' U L U' (x)}}

'''Any other:'''
{{Alg|F U F' R' F U' F' U R U'}}
{{Alg|(y') R U R' U' L' U R U' M' (x')}}

|-valign="top"
|

=== L (EPP) ===
{{case |image=OCLL-EPP L.jpg
|name=L, Bowtie
|methods=2-look [[L4C]]
|optimal=8 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R' U' R2 U2 R2 U R U' R U R2 U2 R2 U' R' U}}

'''HTM optimal:'''
{{Alg|R B' R' F R B R' F'}}
{{Alg|(y) F R' F' r U R U' r'}}
{{Alg|(x') U' R U L' U' R' U r}}

'''Any other:'''
{{Alg|U' F U R' U' R F' R' U R}}
{{Alg|R U R U' L' U R' U' M' (x')}}

|
|}

==Three corners==
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== S (EPP) ===
{{case |image=OCLL-EPP S.jpg
|name=S, Sune
|methods=2-look [[L4C]]
|optimal=8 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|U2 R' U' R U' R U R2 U R2 U2 R'}}

'''HTM optimal:'''
{{Alg|R U' L' U R' U' L U}}

'''Any other:'''
{{Alg|!}}

|

=== -S (EPP) ===
{{case |image=OCLL-EPP aS.jpg
|name=-S, Antisune
|methods=2-look [[L4C]]
|optimal=8 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|U2 R U2 R2 U' R2 U' R' U R' U R}}

'''HTM optimal:'''
{{Alg|U' L' U R U' L U R'}}

'''Any other:'''
{{Alg|!}}

|}

==Four corners==
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== H (EPP) ===
{{case |image=OCLL-EPP H.jpg
|name=H
|methods=2-look [[L4C]]
|optimal=12 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U R' U' R' U2 R' U R U' R U2 R2 U2 R' U'}}

'''HTM optimal:'''
{{Alg|R' F2 R2 U2 R' F2 R U2 R2 F2 R U2}}

'''Any other:'''
{{Alg|F (R U R' U')3 F'}}

|

=== pi (EPP) ===
{{case |image=OCLL-EPP pi.jpg
|name=pi, Bruno
|methods=2-look [[L4C]]
|optimal=12 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U' R U R' U R' U' R2 U R' U' R U' R2 U}}

'''HTM optimal:'''
{{Alg|R F' D2 F R' U' R F' D2 F R' U}}

'''Any other:'''
{{Alg|R' U L U' R U L2 U R U' L U R' U2}}
{{Alg|L U' R' U L' U' R2 U' L' U R' U' L U2}}

|}

[[Category:Puzzle theory]]
[[Category:3x3x3 other substeps]]

__NOTOC__

== OLC Algorithms ==

'''O'''rient '''L'''ast '''C'''orners (OLC), also known as '''O'''rient '''L'''ast '''4''' '''C'''orners (OL4C), is a subset of OLL used in [[ZZ-reduction]] following [[Phasing]] that orients corners while preserving edge permutation (2 opposite edges or all 4). This results in a limited [[PLL]] set of 9 cases, down from 21 in full PLL.

Of the 7 orientation cases in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune).

Odds of skipping this step are 1/27.

{{Algnote}}

=== OLC 1 ===
Probability 4/27
{{case
|image=o27.gif
|name=S, Sune, Swimming Left
|methods=[[ZZ-reduction]]
|text=
}}
{{Alg|R U' L' U R' U' L|OLL}}
{{Alg|y2 R' U L U' R U L'|OLL}}
{{Alg|U R U' L' U R' U' L|OLL}}

=== OLC 2 ===
Probability 4/27
{{case
|image=o26.gif
|name=-S, Antisune, Swimming Right
|methods=[[ZZ-reduction]]
|optimal=? [[HTM]]
|text=
}}
{{Alg|L' U R U' L U R'|OLL}}

=== OLC 3 ===
Probability 2/27
{{case
|image=o21.gif
|name=H, Double Sune, Flip, Cross
|methods=[[ZZ-reduction]]
|optimal=? [[HTM]], ? [[STM]]
|text=
}}
{{Alg|y F (R U R' U')3 F'|OLL}}
{{Alg|y R U2 R' (U' R U R') U' (R U' R')|OLL}}
{{Alg|R U2 R' F R' F' R F2 L F L' F|OLL}}

=== OLC 4 ===
Probability 4/27
{{case
|image=o22.gif
|name=pi, Bruno, wheel, T-shirt
|methods=[[ZZ-reduction]]
|optimal=? [[HTM]]
|text=
}}
{{Alg|f (R U R' U') F f' (R U R' U') F'|OLL}}
{{Alg|R U2' R2' U' R2 U' R2' U2' R|OLL}}
{{Alg|y U L' U2 L2 U L2 U L2 U2 L' U2|OLL}}

=== OLL 23 ===
Probability 4/27
{{case
|image=o23.gif
|name=U, [[Headlights]], Superman
|methods=[[OCLL]], [[OLL]]
|optimal=9 [[HTM]]
|text=
}}
{{Alg|R2' D' R U2 R' D R U2 R|OLL}}
{{Alg|y' F L' D2 L U2 L' D2 L U2 F'|OLL}}
{{Alg|y' B L2 B R2 B F2 R2 B L2 F2|OLL}}
{{Alg|y' B' F2 R2 B L2 B' R2 B L2 F2|OLL}}
{{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}
{{Alg|(y2) R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|OLL}}
{{Alg|R2 D R' U2' R D' R' U2 R'|OLL}}
{{Alg|F R U' R' U R U R' U R U' R' F'|OLL}}
{{Alg|(R' U' R U') R' U2 R2 U (R' U R U2 R')|OLL}}
{{Alg|l2 U' R D2 R' U R D2 R|OLL}}
{{Alg|l2' U' z' U R2 U' L U R2 U z'|OLL}}
{{Alg|y2 R2' B2 R F2' R' B2 R F2' R|OLL}}
{{Alg|(x) R' B2' (R U' R' U) B2' (U' R U)|OLL}}
{{Alg|y' F' L2 F' R2 B2 F' R2 F' L2 B2|OLL}}

=== OLL 24 ===
Probability 4/27
{{case
|image=o24.gif
|name=T, chameleon, shark, Hammerhead, Little Horse, stingray
|methods=[[OCLL]], [[OLL]]
|optimal=8 [[HTM]]
|text=
}}
{{Alg|r U R' U' L' U R U' x'|OLL}}
{{Alg|r U R' U' r' F R F'|OLL}}
{{Alg|(y' x') R U R' D R U' R' D'|OLL}}
{{Alg|(y') F R U R' U' R U' R' U' R U R' F'|OLL}}
{{Alg|(y x) D' R' U R D R' U' R x'|OLL}}
{{Alg|(y x) D L U' L' D' L U L' x' |OLL}}
{{Alg|(y x') U' R' D R U R' D' R x|OLL}}
{{Alg|(y2) R' F' L F R F' L' F|OLL}}
{{Alg|(y2) R' F' r U R U' r' F|OLL}}
{{Alg|(y2) l' U' L U R U' r' F|OLL}}
{{Alg|(y') l U l' F R B' R' F'|OLL}}

=== OLL 25 ===
Probability 4/27
{{case
|image=o25.gif
|name=L, Bowtie, Triple-Sune, Side-winder, Diagonals, Spaceship
|methods=[[OCLL]], [[OLL]]
|optimal=8 [[HTM]]
|text=
}}
{{Alg|y' F' r U R' U' r' F R|OLL}}
{{Alg|R U2 R' U' (R U R' U') (R U R' U') R U' R'|OLL}}
{{Alg|R U R' U (R U' R' U) (R U' R' U) R U2 R'|OLL}}
{{Alg|y2 R' F R B' R' F' R B|OLL}}
{{Alg|y2 F R' F' L F R F' L'|OLL}}
{{Alg|y F' L F R' F' L' F R|OLL}}
{{Alg|y' F' r U R' U' r' F R|OLL}}
{{Alg|y' x U R' U' L U R U' r'|OLL}}
{{Alg|R' F' L' F R F' L F|OLL}}
{{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}
{{Alg|y2 F R' F' r U R U' r'|OLL}}
{{Alg|y2 l' U R D' R' U' R D x'|OLL}}
{{Alg|y2 x' L' U' R' U L U' R U|OLL}}
{{Alg|x' D R U R' D' R U' l'|OLL}}
{{Alg|x' U L' U' R U L U' l'|OLL}}
{{Alg|x' R' D R U' R' D' R U x|OLL}}
{{Alg|x R' U R D' R' U' R D x'|OLL}}
{{Alg|y2 x L U' L' D L U L' D' x'|OLL}}
{{Alg|l' U' L' U R U' L U x'|OLL}}
{{Alg|U r U R U' L' U R' U' x'|OLL}}
{{Alg|R U2 R' U' (R U R' U')2 R U' R'|OLL}}
{{Alg|y2 L' R U R' U' L U R U' R'|OLL}}
{{Alg|F R B R' F' l U' l'|OLL}}
{{Alg|U R U2 R' L' U' L U' R U' R' L' U2 L|OLL}}
{{Alg|y R U R' U' R' F R U R U' R' F'|OLL}}

Corner Orientation

2017-01-23T18:41:24Z

Cuc: /* OLC 3 */ added a formula, aka double anti-sune

{{Substep Infobox
|name=Corner Orientation
|image=COinfo.png
|proposers=
|year=
|anames=CO
|variants=[[OCLL]]
|subgroup=
|algs=7
|moves=
|purpose=
* [[Speedsolving]], [[BLD]], [[FMC]]
}}
'''Corner Orientation''', abbrevaited '''CO''', the [[orientation]] of a [[cube]]'s [[corner]]s. There are three possible corner cubie orientations. CO is a [[substep]] in many [[method]]s.

For the [[last layer]] of the [[3x3x3 cube]] there are three main variations used for the seven cases of CO, one that is named [[Corner Orientation#Pure CO|pure CO]] wich orients the corners without affecting anything else, not even corner permutation, one preserves edge orientation wich is [[OCLL]] (OLL 21 - 27) and the last variation orients the corners ignoring edges (use any [[OLL]] that twists the same corners for that).

The separation of the corners to their correct layers on the [[Square-1]] is often wrongly named "corner orientation".

'''Algorithms'''; at this page you can find algortihms for two different variations of CO;
* [[Corner Orientation#Pure CO|Pure CO]]: orients corners preserving edge orientation and both corner and edge permutation.
* [[Corner Orientation#OCLL-EPP|OCLL-EPP]]: orients corners preserving edge orientation and permutation for the edges but not the corners (this method is seldomly used).

== See also ==
* [[Orientation]]
* [[Permutation]]
* [[Edge Orientation]]
* [[Corner Permutation]]
* [[OCLL]]
* [[Winter Variation]]
* [[CLS]]
* [[Partial Corner Control]]
= Pure CO =
'''Usage:''' Besides that these cases are a group in [[L4C]], [[L3C]], [[ZBLL]], [[ZZLL]];

[[3OP]] is a [[blindfold method]] that orients the pieces before they are placed into position, the algorithms here solves the corner orientation in at the most 3 steps, first, if needed two pieces, one in the top layer and one in the bottom layer to fix [[orientation parity]] and then 2-4 corners in the top layer and then the same for the bottom layer. ''Algs for pure orientation of the edges can be found at the [[ELL|ELL page]]''.

Any other BLD method, to fix orientation for corners that are in position but unoriented from the scramble (a few setup moves to get the pieces into the same layer may be needed then).

For [[FMC]] to solve the last pieces (but that won't give any WR, better to try some different start of the last layer that gives a easier case in the end).

===Algorithms===
All cases here have long [[algorithm]]s, the H case is actually the worst LL case of them all and the pi case is second worst. The good thing is that all cases are solvable using only two sides (RU [[2-gen]]). There are different sections for different types of algorithms, first is optimal 2-gen followed by 2-gens of any length. All cases can be solved using two or more [[Sune]], the third section is for these combinations (double, anti and mirrors included). Next comes algs optimal in [[Half Turn Metric]], using as many sides that is needed for that (2-6) and the last section is for any other alg that solves the case.

{{Algnote}}

==Two corners unoriented==
Note that the T-twist is the same case as the U-twist if you reorient the cube (for these images that will be z' y2).
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== U ===
{{case |image=Pure twist U.jpg
|name=U, [[Headlights]], Superman
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U2 R' U R' U2 R U2 R U R' U' R' U R (U2)}}

'''Any other 2-gen:'''
{{Alg|R' U2 R U' R U2 R' U2 R' U' R U R U' R' (U2)}}

'''Sune combos:'''
{{Alg|(R U2 R' U' R U' R') (L' U2 L U L' U L)}}

'''HTM optimal:'''
{{Alg|F U' R2 U R2 U F U' F2 D R2 D' R2}}

'''Any other:'''
{{Alg|(x) U2 R' U' R U' R' L' U2 L U L' U L R (x')}}
{{Alg|(z') (U R U' R')2 L' (R U R' U')2 L (z)}}
{{Alg|(y2) (R U R' U')2 L' (U R U' R')2 L}}
{{Alg|(F D' F' R' D' R) U (R' D R F D F') U'}}

|

=== T ===
{{case |image=Pure twist T.jpg
|name=T
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|(U) R2 U' R U' R2 U R2 U R U' R' U' R U R2}}

'''Any other 2-gen:'''
{{Alg|(U2) R U R' U' R' U R U2 R U2 R' U R' U2 R}}
{{Alg|(U2) R' U' R U' R' U2 R U2 R U R' U R U2 R'}}

'''Sune combos:'''
{{Alg|(L' U' L U' L' U2 L) (R U R' U R U2 R')}}

'''HTM optimal:'''
{{Alg|U R2 U' B R2 D' R2 D B2 U' B U R2}}

'''Any other:'''
{{Alg|(z') (R U R' U')2 L' (U R U' R')2 L (z)}}
{{Alg|(y2) (U R U' R')2 L' (R U R' U')2 L}}
{{Alg|(R' D R F D F') U (F D' F' R' D' R) U'}}

|-valign="top"
|

=== L ===
{{case |image=Pure twist L.jpg
|name=L, Bowtie
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=12 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U' R' U2 R' U2 R U R' U R U2 R U2 R' (U')}}

'''Any other 2-gen:'''
{{Alg|(U') R U2 R' U2 R' U' R U R U' R' U2 R' U2 R}}

'''Sune combos:'''
{{Alg|B' (R U2 R' U' R U' R') (L' U2 L U L' U L) B}}

'''HTM optimal:''' (12 move commutator)
{{Alg|U2 (R' B D2 B' R) U2 (R' B D2 B' R)}}
{{Alg|(F L' D2 L F') U2 (F L' D2 L F') U2}}

'''Any other:'''
{{Alg|R U' R' L' U2 L U L' U L R U2 R' U'}}
{{Alg|y' R' U L U' R U2 y' R' U' R F' R' U R U2}}
{{Alg|(F D' F' R' D' R) U2 (R' D R F D F') U2}}

|
|}

==Three corners unoriented==
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== S ===
{{case |image=Pure twist S.jpg
|name=S, Sune
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R' U R' U R2 U R' U R2 U R' U R U2 R U2 R2}}

'''Any other 2-gen:'''
{{Alg|R U R2 U' R2 U R U R' U' R U R U R U' R' (U)}}
{{Alg|(R U R' U') R' U' R' U' (R U R' U') R2 U2 R2 U2 R' (U')}}

'''Sune combos:'''
{{Alg|(U') (R' U2 R U R' U' R U R' U R) (U) (R U2 R' U' R U' R') (U2)}}

'''HTM optimal:'''
{{Alg|U' B U' F U2 B2 D' R2 U D F' U' B}}

'''Any other:'''
{{Alg|(y) U2 R' U2 R U R' U R' d' M' U2 M d' L2 (y) }}

|

=== -S ===
{{case |image=Pure twist aS.jpg
|name=-S, Antisune
|methods=[[L3C]], [[L4C]], [[BLD]]
|optimal=13 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R2 U2 R' U R' U2 R' U R' U' R2 U' R2 U' R' U R}}

'''Any other 2-gen:'''
{{Alg|R2 U2 R' U2 R' U' R U' R2 U' R U' R2 U' R U' R}}
{{Alg|(U2) R U' R2 U' R U' R' U2 R' U2 R' U' R U' R2 (U)}}

'''Sune combos:'''
{{Alg|(U2) (R U2 R' U' R U R' U' R U' R') (U') (R' U2 R U R' U R) (U)}}

'''HTM optimal:'''
{{Alg|U R' U L U' D' F2 D R2 U2 L' U R'}}

'''Any other:'''
{{Alg|U2 R U2 R' U' R U' R d M U2 M' d L2}}

|}

==Four corners unoriented==
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== H ===
{{case |image=Pure twist H.jpg
|name=H
|methods=[[L4C]], [[BLD]]
|optimal=16 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U R2 U' R2 U' R U2 R U2 R U' R2 U' R2 U R (U)}}
{{Alg|R' U' R2 U R2 U R' U2 R' U2 R' U R2 U R2 U' R' (U')}}

'''Any other 2-gen:'''
{{Alg|(y) (R U R' U) (R U' R' U) (R U2') (R U' R' U') (R U R U) (R U' R)}}

'''Sune combos:'''
{{Alg|!}}

'''HTM optimal:'''
{{Alg|R U2 F2 R' U' F R' U2 F' U2 R2 F U R' F U2}}

'''Any other:'''
{{Alg|(r U2 R' U' R U R' U' R U' r') (M U' M' U2 M U' M')}}
{{Alg|(r' U2 R U R' U' R U R' U r) (M' U M U2 M' U M)}}
{{Alg|(L' U' L U' L' U L U' L' U2 L) (R U R' U R U' R' U R U2' R')}}
{{Alg|F U R d' R U' R' d R' U R d' R U' R' d l' U' (x')}}
{{Alg|d R2 U2 R' (y x) M2 U M2 U (x' y') U2 R2 d' M2 U M2}}

|

=== pi ===
{{case |image=Pure twist pi.jpg
|name=pi, Bruno
|methods=[[L4C]], [[BLD]]
|optimal=15 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U R2 U' R2 U' R2 U2 R2 U' R' U R U2 R' (U)}}
{{Alg|R' U' R2 U R2 U R2 U2 R2 U R U' R' U2 R (U')}}

'''Any other 2-gen:'''
{{Alg|(y) R U2 R' U' R U R2 U2 R2 U R2 U R2 U' R' (U')}}
{{Alg|(y') R' U2 R U R' U' R2 U2 R2 U' R2 U' R2 U R (U)}}

'''Sune combos:'''
{{Alg|!}}

'''HTM optimal:'''
{{Alg|U R L' D' R2 U2 R' D R2 U2 L U' L2 B2 L2}}

'''Any other:'''
{{Alg|(y) R' U' (R' F R F') (R U' R' U) (R' F R F') R U' R' U2 R}}
{{Alg|B (U L U' L') (U L U') L2 (x') U' M' U L U' M (x)}}
{{Alg|(y2) F U R U' R' U R U' R' F' r U R' U' M U R U' R'}}
{{Alg|(y' x) U' L U2 R' U2 L' U2 R U' (x' y') M' U' M U2 M' U' M U2}}

|}

= OCLL-EPP =
'''Orientation of the corners of the last layer - edges permutation preserved'''; orients the [[last layer]] corners preserving edge permutation but ignoring corner permutation.

'''Usage'''; to solve the [[last four corners]] in two looks if the edges are solved (3-look [[LLEF]], OCLL-EPP and [[CPLL]], total 26 algs. 4-look [[EO]], [[EP]], OCLL-EPP and CPLL, total 16 algs).

Average movecount is 9.63 turns optimally, CPLL is 9.12 turns optimally wich gives 19 moves on average for solving L4C in 2-looks like this.

===Algorithms===
{{Algnote}}

==Two corners==
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== U (EPP) ===
{{case |image=OCLL-EPP U.jpg
|name=U, Headlights, Superman
|methods=2-look [[L4C]]
|optimal=9 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|U' R' U2 R' U2 R U R' U R U2 R U2 R' U' R}}

'''HTM optimal:'''
{{Alg|R2 D' R U2 R' D R U2 R}}
{{Alg|R2 F2 R' B2 R F2 R' B2 R'}}
{{Alg|(z' y') U2 R2 U' L2 U R2 U' L2 U' (y z)}}

'''Any other:'''
{{Alg|R U2 R2 U L U' R2 U L' U R'}}
{{Alg|R' U2 R F' R' F U2 F' R F}}

|

=== T (EPP) ===
{{case |image=OCLL-EPP T.jpg
|name=T
|methods=2-look [[L4C]]
|optimal=8 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R' U' R' U R U2 R U2 R' U R' U2 R U2 R U}}

'''HTM optimal:'''
{{Alg|R' F' R B' R' F R B}}
{{Alg|(x) R' U' R D' R' U R D (x')}}
{{Alg|(x') R' D' R U' R' D R U (x)}}
{{Alg|(y') r U R' U' r' F R F'}}
{{Alg|(y) l U L' U' R' U L U' (x)}}

'''Any other:'''
{{Alg|F U F' R' F U' F' U R U'}}
{{Alg|(y') R U R' U' L' U R U' M' (x')}}

|-valign="top"
|

=== L (EPP) ===
{{case |image=OCLL-EPP L.jpg
|name=L, Bowtie
|methods=2-look [[L4C]]
|optimal=8 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R' U' R2 U2 R2 U R U' R U R2 U2 R2 U' R' U}}

'''HTM optimal:'''
{{Alg|R B' R' F R B R' F'}}
{{Alg|(y) F R' F' r U R U' r'}}
{{Alg|(x') U' R U L' U' R' U r}}

'''Any other:'''
{{Alg|U' F U R' U' R F' R' U R}}
{{Alg|R U R U' L' U R' U' M' (x')}}

|
|}

==Three corners==
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== S (EPP) ===
{{case |image=OCLL-EPP S.jpg
|name=S, Sune
|methods=2-look [[L4C]]
|optimal=8 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|U2 R' U' R U' R U R2 U R2 U2 R'}}

'''HTM optimal:'''
{{Alg|R U' L' U R' U' L U}}

'''Any other:'''
{{Alg|!}}

|

=== -S (EPP) ===
{{case |image=OCLL-EPP aS.jpg
|name=-S, Antisune
|methods=2-look [[L4C]]
|optimal=8 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|U2 R U2 R2 U' R2 U' R' U R' U R}}

'''HTM optimal:'''
{{Alg|U' L' U R U' L U R'}}

'''Any other:'''
{{Alg|!}}

|}

==Four corners==
{|border="0" width="100%" valign="top" cellpadding="3"

|-valign="top"
|
=== H (EPP) ===
{{case |image=OCLL-EPP H.jpg
|name=H
|methods=2-look [[L4C]]
|optimal=12 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U R' U' R' U2 R' U R U' R U2 R2 U2 R' U'}}

'''HTM optimal:'''
{{Alg|R' F2 R2 U2 R' F2 R U2 R2 F2 R U2}}

'''Any other:'''
{{Alg|F (R U R' U')3 F'}}

|

=== pi (EPP) ===
{{case |image=OCLL-EPP pi.jpg
|name=pi, Bruno
|methods=2-look [[L4C]]
|optimal=12 [[HTM]]
|text=
}}
'''Optimal 2-gen:'''
{{Alg|R U' R U R' U R' U' R2 U R' U' R U' R2 U}}

'''HTM optimal:'''
{{Alg|R F' D2 F R' U' R F' D2 F R' U}}

'''Any other:'''
{{Alg|R' U L U' R U L2 U R U' L U R' U2}}
{{Alg|L U' R' U L' U' R2 U' L' U R' U' L U2}}

|}

[[Category:Puzzle theory]]
[[Category:3x3x3 other substeps]]

__NOTOC__

== OLC Algorithms ==

'''O'''rient '''L'''ast '''C'''orners (OLC), also known as '''O'''rient '''L'''ast '''4''' '''C'''orners (OL4C), is a subset of OLL used in [[ZZ-reduction]] following [[Phasing]] that orients corners while preserving edge permutation (2 opposite edges or all 4). This results in a limited [[PLL]] set of 9 cases, down from 21 in full PLL.

Of the 7 orientation cases in ZZ, 4 do not commonly preserve edge permutation (Sune, Antisune, Pi, Double-Sune). The other 3 commonly preserve edges (Headlights, Chameleon, Triple-Sune).

Odds of skipping this step are 1/27.

{{Algnote}}

=== OLC 1 ===
Probability 4/27
{{case
|image=o27.gif
|name=S, Sune, Swimming Left
|methods=[[ZZ-reduction]]
|text=
}}
{{Alg|R U' L' U R' U' L|OLL}}
{{Alg|y2 R' U L U' R U L'|OLL}}
{{Alg|U R U' L' U R' U' L|OLL}}

=== OLC 2 ===
Probability 4/27
{{case
|image=o26.gif
|name=-S, Antisune, Swimming Right
|methods=[[ZZ-reduction]]
|optimal=? [[HTM]]
|text=
}}
{{Alg|L' U R U' L U R'|OLL}}

=== OLC 3 ===
Probability 2/27
{{case
|image=o21.gif
|name=H, Double Sune, Flip, Cross
|methods=[[ZZ-reduction]]
|optimal=? [[HTM]], ? [[STM]]
|text=
}}
{{Alg|y F (R U R' U')3 F'|OLL}}
{{Alg|y R U2 R' (U' R U R') U' (R U' R')|OLL}}
{{Alg|R U2 R' F R' F' R F2 L F L' F|OLL}}

=== OLC 4 ===
Probability 4/27
{{case
|image=o22.gif
|name=pi, Bruno, wheel, T-shirt
|methods=[[ZZ-reduction]]
|optimal=? [[HTM]]
|text=
}}
{{Alg|f (R U R' U') F f' (R U R' U') F'|OLL}}
{{Alg|y U L' U2 L2 U L2 U L2 U2 L' U2|OLL}}

=== OLL 23 ===
Probability 4/27
{{case
|image=o23.gif
|name=U, [[Headlights]], Superman
|methods=[[OCLL]], [[OLL]]
|optimal=9 [[HTM]]
|text=
}}
{{Alg|R2' D' R U2 R' D R U2 R|OLL}}
{{Alg|y' F L' D2 L U2 L' D2 L U2 F'|OLL}}
{{Alg|y' B L2 B R2 B F2 R2 B L2 F2|OLL}}
{{Alg|y' B' F2 R2 B L2 B' R2 B L2 F2|OLL}}
{{Alg|L2 D L' U2 L D' L' U2 L'|OLL}}
{{Alg|(y2) R' F2 R U2 R U2 R' F2 R U2 R'|OLL}}
{{Alg|(y2) R2 D R' U2 R D' R' U2 R'|OLL}}
{{Alg|R2 D R' U2' R D' R' U2 R'|OLL}}
{{Alg|F R U' R' U R U R' U R U' R' F'|OLL}}
{{Alg|(R' U' R U') R' U2 R2 U (R' U R U2 R')|OLL}}
{{Alg|l2 U' R D2 R' U R D2 R|OLL}}
{{Alg|l2' U' z' U R2 U' L U R2 U z'|OLL}}
{{Alg|y2 R2' B2 R F2' R' B2 R F2' R|OLL}}
{{Alg|(x) R' B2' (R U' R' U) B2' (U' R U)|OLL}}
{{Alg|y' F' L2 F' R2 B2 F' R2 F' L2 B2|OLL}}

=== OLL 24 ===
Probability 4/27
{{case
|image=o24.gif
|name=T, chameleon, shark, Hammerhead, Little Horse, stingray
|methods=[[OCLL]], [[OLL]]
|optimal=8 [[HTM]]
|text=
}}
{{Alg|r U R' U' L' U R U' x'|OLL}}
{{Alg|r U R' U' r' F R F'|OLL}}
{{Alg|(y' x') R U R' D R U' R' D'|OLL}}
{{Alg|(y') F R U R' U' R U' R' U' R U R' F'|OLL}}
{{Alg|(y x) D' R' U R D R' U' R x'|OLL}}
{{Alg|(y x) D L U' L' D' L U L' x' |OLL}}
{{Alg|(y x') U' R' D R U R' D' R x|OLL}}
{{Alg|(y2) R' F' L F R F' L' F|OLL}}
{{Alg|(y2) R' F' r U R U' r' F|OLL}}
{{Alg|(y2) l' U' L U R U' r' F|OLL}}
{{Alg|(y') l U l' F R B' R' F'|OLL}}

=== OLL 25 ===
Probability 4/27
{{case
|image=o25.gif
|name=L, Bowtie, Triple-Sune, Side-winder, Diagonals, Spaceship
|methods=[[OCLL]], [[OLL]]
|optimal=8 [[HTM]]
|text=
}}
{{Alg|y' F' r U R' U' r' F R|OLL}}
{{Alg|R U2 R' U' (R U R' U') (R U R' U') R U' R'|OLL}}
{{Alg|R U R' U (R U' R' U) (R U' R' U) R U2 R'|OLL}}
{{Alg|y2 R' F R B' R' F' R B|OLL}}
{{Alg|y2 F R' F' L F R F' L'|OLL}}
{{Alg|y F' L F R' F' L' F R|OLL}}
{{Alg|y' F' r U R' U' r' F R|OLL}}
{{Alg|y' x U R' U' L U R U' r'|OLL}}
{{Alg|R' F' L' F R F' L F|OLL}}
{{Alg|y2 R U2' R D R' U2 R D' R2'|OLL}}
{{Alg|y2 F R' F' r U R U' r'|OLL}}
{{Alg|y2 l' U R D' R' U' R D x'|OLL}}
{{Alg|y2 x' L' U' R' U L U' R U|OLL}}
{{Alg|x' D R U R' D' R U' l'|OLL}}
{{Alg|x' U L' U' R U L U' l'|OLL}}
{{Alg|x' R' D R U' R' D' R U x|OLL}}
{{Alg|x R' U R D' R' U' R D x'|OLL}}
{{Alg|y2 x L U' L' D L U L' D' x'|OLL}}
{{Alg|l' U' L' U R U' L U x'|OLL}}
{{Alg|U r U R U' L' U R' U' x'|OLL}}
{{Alg|R U2 R' U' (R U R' U')2 R U' R'|OLL}}
{{Alg|y2 L' R U R' U' L U R U' R'|OLL}}
{{Alg|F R B R' F' l U' l'|OLL}}
{{Alg|U R U2 R' L' U' L U' R U' R' L' U2 L|OLL}}
{{Alg|y R U R' U' R' F R U R U' R' F'|OLL}}

Keyhole F2L

2017-01-23T18:02:46Z

Cuc: /* F2L 32 */ correction 5th formula, removal of U'

{{Method Infobox
|name=Keyhole
|image=Keyhole.gif
|proposers
|year
|anames
|variants=[[8355]]
|steps=1 substep
|moves
|purpose=
* [[Speedsolving]]
* [[Beginner method]]
}}
'''Keyhole First Two Layers''' or '''Keyhole F2L''', sometimes named '''working corner''', is a [[method]] that solves, normally, the first two bottom layers of the [[3x3x3 cube]]. It is an efficient method for inserting mid-layer edges in the 3x3x3 [[LBL]] method. Its a slight advancement on the basic [[LBL]] method, because it requires fewer moves, as well as more intuition.

== Basic Idea ==

After the bottom layer cross, only ''three'' bottom layer corners are solved. The final corner is reserved as the ''keyhole'' to be used in solving the mid layer edges efficiently. To insert a mid layer edge using the keyhole:

You start, like in normal [[LBL]] from a [[cross]], then you fill in ''three'' of the first layer [[corner]]s. From that point you solve three of the middle layer [[edge]]s using the empty corner position as the ''keyhole''. For each edge do the following:
* First position the mid-layer edge in the U-layer such that it is above the centre matching the edge's up-facing colour.
* Using a D-Turn position the bottom layer so that the unsolved corner is directly below the mid-layer edge's position.
* Now execute one of R U' R' or F U F' to insert the edge.

After three corners and edges are solved you complete [[F2L]] by first solving the last corner and finally the last edge using the normal LBL algorithm: R U R' U' F' U' F or the mirror F' U' F U R U R' depending on the current orientation of the edge.

==== Alternative Procedure ====
An alternative way to do keyhole F2L is to use this order:
* cross (doesn't have to match centers)
* 3 corners
* 4 edges
* 4th corner

For that you will need three algorithms to solve the last piece depending on it's orientation:

''List of algs...''
=== F2L 32 ===
[[Image:F2L32.png]]

{{Alg|(R U R' U')(R U R' U')(R U R')|F2L}}
{{Alg|(U R U' R')(U R U' R')(U R U' R')|F2L}}
{{Alg|U2 R d' R U R' d R'|F2L}}
{{Alg|U R d' R U2 R' d R'|F2L}}
{{Alg|R2 U R2 U R2 U2 R2|F2L}}
{{Alg|U2 R2 U2 R2 U' R2 U' R2|F2L}}

=== F2L 33 ===
[[Image:F2L33.png]]

{{Alg|(U' R U' R') U2 (R U' R')|F2L}}
{{Alg|y U' (L U' L') U2 (L U' L)|F2L}}

=== F2L 34 ===
[[Image:F2L34.png]]

{{Alg|U' (R U2' R') U (R U R')|F2L}}
{{Alg|U (R U R') U2 (R U R')|F2L}}
{{Alg|d (R' U R) U2 (R' U R)|F2L}}

== Edges-First Keyhole ==
Another way to approach keyhole is to start by inserting three edges, and then use the remaining unsolved edge position to insert three corners. The basic steps are as follows:
* Solve Cross
* Solve 3x E-slice edges
* Rotate cube to position remaining unsolved slot in FR
* Solve 3x D-layer corners by:
:# Position a D-layer corner above the slot in the U-layer
:# Rotate D-layer so that the corner's correct location is directly below the slot
:# Insert the corner using one of: '''R U R'''' or '''F' U' F''' or '''R B U2 B' R''''
If there are no corners available in the U-layer, then rotate the D-layer until an unsolved D-layer corner is above the slot, and then use R U R' to swap it into the U-layer.

==== Advantages ====
While both the corners and edges first approaches use a similar number of moves, edges-first does not require the solver to keep track of the working corner, which can be better for lookahead. If used in conjunction with [[8355]] it may also improve ease of understanding, since a similar concept is used to place the final 5 corners.

== See also ==
* [[First Two Layers]]
* [[3x3x3 beginner methods]]
* [[8355]]
* [[LBL]]

== External links ==

* [http://www.youtube.com/watch?v=VQ-qIyScA5o Arnaud van Galen's YouTube Tutorial]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=687 Keyhole Method/Working Corner method]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=21790 Edges First Keyhole]
* [http://solvethecube.110mb.com/getting_faster.html Text Tutorial by Joël van Noort]

[[Category:F2L methods]]
[[Category:3x3x3 beginner methods]]
[[Category:Fewest Moves methods]]

Talk:PBL

2016-12-26T05:57:24Z

Cuc: /* Swap UF Corners */

==Swap UF Corners==
The formula R U2 R' U' R U2 L' U R' U' L' is wrong. Can anybody correct it? It's probably a typo, but I can't reconstruct it. [[User:Cuc|Cuc]] ([[User talk:Cuc|talk]]) 18:14, 23 December 2016 (UTC)
:The algorithm is correct but it swaps the UR corners, not the UF corners. I've added a ''y''' rotation to show this. [[User:EastsheenFan|EastsheenFan]] ([[User talk:EastsheenFan|talk]]) 13:34, 24 December 2016 (UTC)

::I performed it on a regular cube and I noticed that the last L' should be replaced by an L. I am sorry that I did not see this on a 2x2 at once. Please, verify. And yes, the y' helps too :-) [[User:Cuc|Cuc]] ([[User talk:Cuc|talk]]) 05:57, 26 December 2016 (UTC)

Talk:PBL

2016-12-23T18:14:29Z

Cuc: Found Error

Mats Valk

2016-12-14T07:30:01Z

Cuc: /* External links */ Add link to historical records

{{Infobox
|NAME=Mats Valk
|IMAGE=Mats Valk.jpg
|IMAGEYEAR=!
|ALIASES=
|COUNTRY=Netherlands
|BIRTHDATE=May 4, 1996
|AGE=17
|JOBS=Student
|YEARSACTIVE=2007-current
|ID=2007VALK01
|FAMOUSFOR=3x3 WR, 4x4 WR
}}

'''Mats Valk''' is a [[Netherlands|Dutch]] speedcuber. He has been one of the fastest 3x3 and 4x4 solvers in the world since 2009. He has set 4x4 single and average world records in 2011 and 2011 and the 3x3 single in 2013. He has also set European records in 3x3, 4x4, 2x2, and 3x3 OH.

Mats was the first significant Dutch challenger [[Erik Akkersdijk]]. Their rivalry since 2009 has been compared to that of [[France|French]] cubers [[Jean Pons]] and [[Edouard Chambon]] during 2005-2007.

== Achievements ==

=== World Records ===
Mats currently holds no world record, but broke the world record twice before.
He held the following worldrecords.
'''Single'''
*3x3x3 cube: 4.74 sec since Timur Open 2016 (Nov. 5-6, 2016)
*3x3x3 cube: 5.55 sec since Zonhoven Open 2013 (Mar 2-3, 2013)
*4x4x4 cube: 26.77 sec since German Open 2012
*4x4x4 cube: average 33.57 sec since German Open 2012
*4x4x4 cube: 30.02 sec since Dutch Nationals 2011

=== Titles ===
{{S-start}}

{{S-ach| ach=Continental Titles}}

{{S-title-bef| before=[[Giovanni Contardi]] | year=2010 }}
{{S-title| title=4x4 Speedsolve European Champion | year=2012 }}
{{S-inc}}

{{S-end}}

== Notable Videos ==
* [http://www.speedsolving.com/forum/showthread.php?34172-Mats-Valk-official-World-Record-4x4-single-30.02 Mats Valk official World Record 4x4 single : 30.02]
* [http://www.speedsolving.com/forum/showthread.php?36416-video-Mats-Valk-Single-WR-26.77-average Mats Valk Single WR 26.77 + average]

== See also ==
* [[List of color blind cubers]]
* [[List of World Records/4x4x4]]

== External links ==
* WCA historical records: [https://www.worldcubeassociation.org/results/regions.php?regionId=&eventId=&years=&history=History]
* [http://www.youtube.com/user/mvcuber12 Mats Valk's YouTube channel]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?33225-Mats-Valk-just-got-a-6.84-single! Mats Valk just got a 6.84 single!]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?33337-Mats-Valk-s-6.41-European-Record-at-2011-Dutch-Open-(with-close-up-amp-slow-mo) Mats Valk's 6.41 European Record at 2011 Dutch Open (with close up & slow mo)]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?38613-Mats-Valk-official-3x3-average-7-77 Mats Valk official 3x3 average: 7.77]

[[Category:World record holders|Valk, Mats]]
[[Category:3x3x3 solvers|Valk, Mats]]
[[Category:4x4x4 solvers|Valk, Mats]]
[[Category:Speedcubers|Valk, Mats]]
[[Category:Cubers|Valk, Mats]]

Mats Valk

2016-12-14T07:28:24Z

Cuc: /* World Records */

{{Infobox
|NAME=Mats Valk
|IMAGE=Mats Valk.jpg
|IMAGEYEAR=!
|ALIASES=
|COUNTRY=Netherlands
|BIRTHDATE=May 4, 1996
|AGE=17
|JOBS=Student
|YEARSACTIVE=2007-current
|ID=2007VALK01
|FAMOUSFOR=3x3 WR, 4x4 WR
}}

'''Mats Valk''' is a [[Netherlands|Dutch]] speedcuber. He has been one of the fastest 3x3 and 4x4 solvers in the world since 2009. He has set 4x4 single and average world records in 2011 and 2011 and the 3x3 single in 2013. He has also set European records in 3x3, 4x4, 2x2, and 3x3 OH.

Mats was the first significant Dutch challenger [[Erik Akkersdijk]]. Their rivalry since 2009 has been compared to that of [[France|French]] cubers [[Jean Pons]] and [[Edouard Chambon]] during 2005-2007.

== Achievements ==

=== World Records ===
Mats currently holds no world record, but broke the world record twice before.
He held the following worldrecords.
'''Single'''
*3x3x3 cube: 4.74 sec since Timur Open 2016 (Nov. 5-6, 2016)
*3x3x3 cube: 5.55 sec since Zonhoven Open 2013 (Mar 2-3, 2013)
*4x4x4 cube: 26.77 sec since German Open 2012
*4x4x4 cube: average 33.57 sec since German Open 2012
*4x4x4 cube: 30.02 sec since Dutch Nationals 2011

=== Titles ===
{{S-start}}

{{S-ach| ach=Continental Titles}}

{{S-title-bef| before=[[Giovanni Contardi]] | year=2010 }}
{{S-title| title=4x4 Speedsolve European Champion | year=2012 }}
{{S-inc}}

{{S-end}}

== Notable Videos ==
* [http://www.speedsolving.com/forum/showthread.php?34172-Mats-Valk-official-World-Record-4x4-single-30.02 Mats Valk official World Record 4x4 single : 30.02]
* [http://www.speedsolving.com/forum/showthread.php?36416-video-Mats-Valk-Single-WR-26.77-average Mats Valk Single WR 26.77 + average]

== See also ==
* [[List of color blind cubers]]
* [[List of World Records/4x4x4]]

== External links ==
* [http://www.youtube.com/user/mvcuber12 Mats Valk's YouTube channel]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?33225-Mats-Valk-just-got-a-6.84-single! Mats Valk just got a 6.84 single!]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?33337-Mats-Valk-s-6.41-European-Record-at-2011-Dutch-Open-(with-close-up-amp-slow-mo) Mats Valk's 6.41 European Record at 2011 Dutch Open (with close up & slow mo)]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?38613-Mats-Valk-official-3x3-average-7-77 Mats Valk official 3x3 average: 7.77]

[[Category:World record holders|Valk, Mats]]
[[Category:3x3x3 solvers|Valk, Mats]]
[[Category:4x4x4 solvers|Valk, Mats]]
[[Category:Speedcubers|Valk, Mats]]
[[Category:Cubers|Valk, Mats]]

Mats Valk

2016-12-14T07:27:29Z

Cuc: /* World Records */

{{Infobox
|NAME=Mats Valk
|IMAGE=Mats Valk.jpg
|IMAGEYEAR=!
|ALIASES=
|COUNTRY=Netherlands
|BIRTHDATE=May 4, 1996
|AGE=17
|JOBS=Student
|YEARSACTIVE=2007-current
|ID=2007VALK01
|FAMOUSFOR=3x3 WR, 4x4 WR
}}

'''Mats Valk''' is a [[Netherlands|Dutch]] speedcuber. He has been one of the fastest 3x3 and 4x4 solvers in the world since 2009. He has set 4x4 single and average world records in 2011 and 2011 and the 3x3 single in 2013. He has also set European records in 3x3, 4x4, 2x2, and 3x3 OH.

Mats was the first significant Dutch challenger [[Erik Akkersdijk]]. Their rivalry since 2009 has been compared to that of [[France|French]] cubers [[Jean Pons]] and [[Edouard Chambon]] during 2005-2007.

== Achievements ==

=== World Records ===
Mats currently holds no world record, but broke the world record twice before.
He held the following worldrecords.
'''Single'''
*3x3x3 cube: 4.74 sec since Timur Open 2016 (Nov. 5-6, 2016)
*3x3x3 cube: 5.55 sec since Zonhoven Open 2013 (Mar 2-3, 2013)
*4x4x4 cube: 26.77 sec since German Open 2012
*4x4x4 cube: average 33.57 sec since German Open 2012
*4x4x4 cube: 30.02 sec since Dutch Nationals 2011

Source. https://www.worldcubeassociation.org/results/regions.php?regionId=&eventId=&years=&history=History

=== Titles ===
{{S-start}}

{{S-ach| ach=Continental Titles}}

{{S-title-bef| before=[[Giovanni Contardi]] | year=2010 }}
{{S-title| title=4x4 Speedsolve European Champion | year=2012 }}
{{S-inc}}

{{S-end}}

== Notable Videos ==
* [http://www.speedsolving.com/forum/showthread.php?34172-Mats-Valk-official-World-Record-4x4-single-30.02 Mats Valk official World Record 4x4 single : 30.02]
* [http://www.speedsolving.com/forum/showthread.php?36416-video-Mats-Valk-Single-WR-26.77-average Mats Valk Single WR 26.77 + average]

== See also ==
* [[List of color blind cubers]]
* [[List of World Records/4x4x4]]

== External links ==
* [http://www.youtube.com/user/mvcuber12 Mats Valk's YouTube channel]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?33225-Mats-Valk-just-got-a-6.84-single! Mats Valk just got a 6.84 single!]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?33337-Mats-Valk-s-6.41-European-Record-at-2011-Dutch-Open-(with-close-up-amp-slow-mo) Mats Valk's 6.41 European Record at 2011 Dutch Open (with close up & slow mo)]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?38613-Mats-Valk-official-3x3-average-7-77 Mats Valk official 3x3 average: 7.77]

[[Category:World record holders|Valk, Mats]]
[[Category:3x3x3 solvers|Valk, Mats]]
[[Category:4x4x4 solvers|Valk, Mats]]
[[Category:Speedcubers|Valk, Mats]]
[[Category:Cubers|Valk, Mats]]

Mats Valk

2016-12-14T07:26:28Z

Cuc: /* World Records */ Create list of past WR and reference.

{{Infobox
|NAME=Mats Valk
|IMAGE=Mats Valk.jpg
|IMAGEYEAR=!
|ALIASES=
|COUNTRY=Netherlands
|BIRTHDATE=May 4, 1996
|AGE=17
|JOBS=Student
|YEARSACTIVE=2007-current
|ID=2007VALK01
|FAMOUSFOR=3x3 WR, 4x4 WR
}}

'''Mats Valk''' is a [[Netherlands|Dutch]] speedcuber. He has been one of the fastest 3x3 and 4x4 solvers in the world since 2009. He has set 4x4 single and average world records in 2011 and 2011 and the 3x3 single in 2013. He has also set European records in 3x3, 4x4, 2x2, and 3x3 OH.

Mats was the first significant Dutch challenger [[Erik Akkersdijk]]. Their rivalry since 2009 has been compared to that of [[France|French]] cubers [[Jean Pons]] and [[Edouard Chambon]] during 2005-2007.

== Achievements ==

=== World Records ===
Mats currently holds no world record, but broke the world record twice before.
He held the following worldrecords.
'''Single'''
*3x3x3 cube: 5.55 sec since Zonhoven Open 2013 (Mar 2-3, 2013)
*3x3x3 cube: 4.74 sec since Timur Open 2016 (Nov. 5-6, 2016)
*4x4x4 cube: 26.77 sec since German Open 2012
*4x4x4 cube: average 33.57 sec since German Open 2012
*4x4x4 cube: 30.02 sec since Dutch Nationals 2011

Source. https://www.worldcubeassociation.org/results/regions.php?regionId=&eventId=&years=&history=History

=== Titles ===
{{S-start}}

{{S-ach| ach=Continental Titles}}

{{S-title-bef| before=[[Giovanni Contardi]] | year=2010 }}
{{S-title| title=4x4 Speedsolve European Champion | year=2012 }}
{{S-inc}}

{{S-end}}

== Notable Videos ==
* [http://www.speedsolving.com/forum/showthread.php?34172-Mats-Valk-official-World-Record-4x4-single-30.02 Mats Valk official World Record 4x4 single : 30.02]
* [http://www.speedsolving.com/forum/showthread.php?36416-video-Mats-Valk-Single-WR-26.77-average Mats Valk Single WR 26.77 + average]

== See also ==
* [[List of color blind cubers]]
* [[List of World Records/4x4x4]]

== External links ==
* [http://www.youtube.com/user/mvcuber12 Mats Valk's YouTube channel]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?33225-Mats-Valk-just-got-a-6.84-single! Mats Valk just got a 6.84 single!]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?33337-Mats-Valk-s-6.41-European-Record-at-2011-Dutch-Open-(with-close-up-amp-slow-mo) Mats Valk's 6.41 European Record at 2011 Dutch Open (with close up & slow mo)]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?38613-Mats-Valk-official-3x3-average-7-77 Mats Valk official 3x3 average: 7.77]

[[Category:World record holders|Valk, Mats]]
[[Category:3x3x3 solvers|Valk, Mats]]
[[Category:4x4x4 solvers|Valk, Mats]]
[[Category:Speedcubers|Valk, Mats]]
[[Category:Cubers|Valk, Mats]]