A list of [[algorithm]]s for [[Pyraminx]].

Some of the descriptions here uses a extended notation, see [[Pyraminx notation]] for an explanation of the system.

=== Edges of Last Layer: (ELL) ===
The last layer edges are the three ones sourrounded by the three tips R, L and U (the F face), that makes the edges RF, DF and LF. There are 6 cases in this group, of these one is solved. The occurance is 1:12 (1 skip in 12 solves) so some of the cases are more than once. All algorithms in this group preserves all but the last three edges.

*Case 1; ... solved.
*Case 2; ... R' L R L' ... "[[Niklas]]", cycles (FD)->LF->(RF)->(FD)
*Case 3; ... L R' L' R ... Mirror N, cycles (FD)->RF->(LF)->(FD)
*Case 4; ... R' L R L U L U' ... U-PLL, cycles FD->FL->FR->FD
*Case 5; ... L R' L' R' U' R' U ... Mirror U, cycles FD->FR->FL->FD
*Case 6; ... R' L R L' U L' U' L ... Orient two, (FR) (FL). The alg is the same as Niklas oB mirror N.

=== Last edge on first tip: ===
The last edge on the first tip is normally the second last step, done before ELL. The edge is in this case RD. In the description the case is where the RD edge is initially, in position or somwhere in the last layer (F face), R side first face-letter and D side second. There are 8 cases in this group, of these one is solved (notated RD just as the edge) and three are mirrors makeing it 5 uniqe cases. The occurance is 1:8 (1 skip in 8 solves). All algorithms in this group preserves LD and RD edges and all four centres, the last layer edges are ignored.

*Case 1 RD; ... solved.
*Case 2 DR; ... L R L' R B' R B ... or inverse (you can also use ELL 6).
*Case 3 RF; ... U B U B' U ... mirror of FD.
*Case 4 FR; ... U' R' U R ... mirror of DF.
*Case 5 FL; ... R L R' L' ... mirror of LF.
*Case 6 LF; ... R' U' R U ... mirror of FL.
*Case 7 DF; ... L R L' R' ... mirror of FR.
*Case 8 FD; ... L' B' L' B L' ... mirror of RF.

=== Last Layer algorithms: ===
These algorithms are for the last layer when you are using a layer by layer method. These algs affect the U layer.
Note that for cases 4 and 5, you must be sure you are holding the pyraminx correctly before performing the algs, as the cases can be a bit difficult to recognize. If you adjust the U layer, you should see that one of the edges matches up to the sides. You want to position this edge in the back when performing the algorithm. With practice, you can recognize these 2 cases without having to turn the U layer. An alternative recognition method is as follows: Make sure the U layer's corner piece is oriented correctly, and then you should have 2 edges that are "half-oriented", and one that is not oriented at all. Then you just hold the pyraminx so the non-oriented edge is in the back.

*Case 1; ... R' L R L' U L' U' L ... flip 2 edges on F
*Case 2; ... R' U' R U' R' U' R ... cycle edges clockwise
*Case 3; ... R' U R U R' U R ... cycle edges counter-clockwise
*Case 4; ... L U R U' R' L' ... flip 2 edges and cycle clockwise.
*Case 5; ... R' U' L' U L R ... flip 2 edges and cycle counter-clockwise.

[[Category:Pyraminx]]
[[Category:Algorithms]]

PLL

2009-12-14T04:53:21Z

Zarxrax: /* E Permutation */

__NOTOC__
'''PLL''' is the Permutation of the [[Last Layer]], the last step of many speedsolving methods. In this step, the pieces on the top layer have already been oriented ([[OLL]]) so that the top face has all the same color, and they can now be moved into their solved positions. There are 21 PLLs (13 if you count mirrors and inverses as being the same) and each one is named after a letter. The following page gives a list of all of the PLLs, along with a picture and a list of common [[algorithm]]s for each one. The diagrams below are top views of where you want the pieces to go. For example, the [[PLL#T_Permutation|T Permutation]] (or 'T perm') swaps the UL and UR edges, as well as the UFR and UBR corners. Make sure to try out all of the available algorithms for a case to see which one feels the fastest to you - the same algorithm may not be the fastest for everyone, and shorter algorithms are not always faster than longer ones. PLL is a subgroup of [[ZBLL]].
{{PLL}}

Note that all of these algorithms are written in the Western [[notation]], where a lowercase letter means a double-layer turn and rotations are denoted by x, y, and z.

==Permutations of Edges Only==
This subgroup, '''EPLL''' is used as the last step for many speedsolving methods, for example in the [[VH method]] ([[COLL]]).

===H Permutation===

[[Image:h.gif]]

* M2 U' M2 U2' M2 U' M2
* R2' r2 U' L2 l2' U2 R2' r2 U' L2 l2'
* U' M2 U2 M2 U M2 U2 M2
* F2 M2 F2 U' F2 M2 F2 U
* x U2 M2 U2 B' U2 M2 U2 B
* R2 U2 R2 U2 R2 U R2 U2 R2 U2 R2 U'
* L R U2 L' R' F' B' U2 F B
* R U2 R' U' R' U' R2 U' R2 U2 R2 U2 R' U
* R2 U2 R U2 R2 U2 R2 U2 R U2 R2
* M2 U M2 U M2 U M2 U M2 U M2 U'
* M2 U M2 U2 M2 U M2
* R' D' R D' B D B' D R' D' R U R' D R D' B D' B' D R' D R U

===U Permutation : a===

[[Image:u1.gif]]

* (y2) F2 U' L R' F2 L' R U' F2
* M2 U M' U2 M U M2
* (y2) M2 U M U2 M' U M2
* R2 U' R' U' R U R U R U' R
* (y2) L2 U' L' U' L U L U L U' L
* B2 U' M' U2 M U' B2
* (y2) R U' R U R U R U' R' U' R2
* M2 U M' U2 M U2 M' U2 M U M2
* (y) R2 U' y r U2 r' R U2 R' y' U' R2
* R U R' U' L' U' L U2 R U' R' U' L' U L
* (y) R2' U' S' U2 S U' R2'

===U Permutation : b===

[[Image:u.gif]]

* (y2) F2 U R' L F2 R L' U F2
* M2 U' M' U2 M U' M2
* (y2) M2 U' M U2 M' U' M2
* R' U R' U' R' U' R' U R U R2
* (y2) R2' U R U R' U' R' U' R' U R'
* B2 U M' U2 M U B2
* L2 U L U L' U' L' U' L' U L'
* R U' R U R U R' U' R' U' R' U2 R'
* M2 U' M' U2 M U2 M' U2 M U' M2
* L' U' L U R U R' U2 L' U L U R U' R'

===Z Permutation===

[[Image:z.gif]]
* y x' R U' R' U D R' D U' R' U R D2' F x
* y M2 U M2 U M' U2 M2 U2 M' U2
* y M2' U' M' U2' M2' U2' M' U M2'
* y U R' U' R U' R U R U' R' U R U R2 U' R' U
* R2 U R2 U' R2 F2 R2 U' F2 U R2 F2
* y' M2 U2 M' U' M2 U' M2 U' M' U
* R' U L' U2 D2 R U' L R' U L' U2 D2 R U' L
* R' U L' E2 L U' R L' U R' E2 R U' L'
* y R2 U' R2 U R2 x' U2 R2 F U2 F' R2 U2
* M' U M2 U M2 U M' U2 M2 U'
* U' l' U R U' D' R U D' R U' R' D2
* d R U R2 U' R' F R U R U' R U' R' U' R U R' F'
* M2 U' M E2 M E2 U M2
* F2 M2 F2 M2 U M2 U M2 U2
* U2' R U R U' R U2 R U' R' U' R U R' U' R' U R U' R U' R U R U' R' U' R' U' R U' R
* y R U R' U R' U' R' U R U' R' U' R2 U R U2
* y' R U R B' R' B U' R' f R U R' U' f'
* (x2 y) M2 U S2 U' S' M2 S
* M2 U (F2 M2 F2 M2) U' M2

==Permutations of Corners Only==
This is also known as '''CPLL''' (Corner Permute Last Layer).

===A Permutation : a===

[[Image:a1.gif]]

* R' F R' B2 R F' R' B2 R2
* (x') R' D R' U2 R D' R' U2 R2
* (x) R' U R' D2 R U' R' D2 R2
* (y' x) L2 D2 L' U' L D2 L' U L'
* (y2) (L' B L') (F2 L B' L') (F2 L2)
* (y2 z) F2 R U2 R' U2 F2 L' U2 L U2
* (y z') U2 R U2 R' F2 U2 L' U2 L F2
* R' U2 R2 U' L' U R' U' L U R' U2 R
* (y) R2 F2 (R' B' R) F2 (R' B R')

===A Permutation : b===

[[Image:a.gif]]

* R B' R F2 R' B R F2 R2
* (x) R D' R U2 R' D R U2 R2
* (x') R U' R D2 R' U R D2 R2
* (y' x) R2 D2 R U R' D2 R U' R
* (y2 x) L U' L D2 L' U L D2 L2
* (y z) U2 L' U2 L F2 U2 R U2 R' F2
* (z') F2 L' U2 L U2 F2 R U2 R' U2
* (y') R' U2 R U' L' U R U' L U R2 U2 R
* (z) (U R' D r2 U') (R U r2' U') (D')
* (z' y2) (U' r x) (l2' U L U') (R' U) (L' U' L') (R' U)

===E Permutation===

[[Image:e.gif]]

* R2 U R' U' y (R U R' U')*2 R U R' y' R U' R2'
* x U R' U' L U R U' L' U R U' L U R' U' L'
* y x' R U' R' D R U R' D2 L' U L D L' U' L
* y x' R U' R' D R U R' D' R U R' D R U' R' D'
* x U R' U' L U R U' r2' U' R U L U' R' U
* y x R U' R' D R U R' u2 R' U R D R' U' R
* l' U' L' U R U' l U R' U' L U R U' l' U
* (r' R' U') (L D' L' U L) (R U' R' D R) U
* r2 U r2 D x' (R U' R' U)3 x D' r2 U' r2
* x' U' R U L' U' R' U r2 U R' U' r' F R F'
* y' z' R' F R2 U R' B' R U' R2 F' R z R B R'
* R' U L' D2 L U' R L' U R' D2 R U' L
* (R B L B' R') y (R L) y (L B' R' B L') y' (R' L')
* l' U' (r' F R F') (R U R' U') L (U R U' R') F
* (F' R U R' U') L' U R U' (l' U R' U' r) F R

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

* (y2) R U' R' U R2 y R U R' U' x U' R' U R U2
* yz R U R' U' R U2 z' y' R U R' U' y x L' U' L U L2 x'
* R' U R U' R2 F' U' F U x R U R' U' R2 B'
* R' U R U' R2' F' U' F U R U' x' R2 U' R' U
* R' U R U' R2 y' R' U' R U y x R U R' U' R2 x'
* y R U R' U R U2 R2 U' R U' R' U2 R U r U R' U' L' U R U'
* R' U2 R' d' R' F' R2 U' R' U R' F R U' F
* (y) U' R' U R U' R'2 F' U' F U R x U R' U' R2
* (y2) M U2 r' U l' U2 r U' R2 r U2 R2
* (y) R' U' F' R U R' U' R' F R2 U' R' U' R U R' U R (from [[here: http://www.speedcubers.de/forum/showthread.php?tid=1807]])

===G Permutation : a===

[[Image:g3.gif]]

* (y) R2' u R' U R' U' R u' R2 y' R' U R
* (y) R2 D B' U B' U' B D' R2 F' U F
* (y2) F2' D R' U R' U' R D' F2 L' U L
* R L U2 R' L' y' R' U L' U2 R U' L

===G Permutation : b===

[[Image:g2.gif]]

* R' U' R y R2 u R' U R U' R u' R2
* R' U' R B2 D L' U L U' L D' B2
* (y2) L' U' L y' R2' u R' U R U' R u' R2
* (y') R' U L' U2 R U' L y R L U2 L' R'

===G Permutation : c===

[[Image:g1.gif]]
* (y) R2' u' R U' R U R' u R2 y R U' R'
* (y) R2' u' R U' R U R' u R2 B U' B'
* (y) R2' D' F U' F U F' D R2 B U' B'
* (y2) F2' D' L U' L U L' D F2 R U' R'
* L' R' U2 L R (y) L U' R U2 L' U R'
* (y') l' U' U' L' U l F' U' L U F R' F R

===G Permutation : d===

[[Image:g.gif]]

* (y2) R U R' y' R2 u' R U' R' U R' u R2
* (y2) R U R' F2 D' L U' L' U L' D F2
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l x
* (y) L U' R U2 L' U R' y R' L' U2 R L
* (y) L U' R U2 L' U R' y' L' R' U2 L R
* (y') R' F' R F' U' L' U F R' F' L F2 R
* U' x R' U R' D2 R U' R' D2 x' U R' U' R U R U R U' R (This one seems long, but it's just a combination of A(a) and U(a))

===J Permutation : a===

[[Image:j1.gif]]

* (y2) R' U2 R U R' z' R2' U R' D R U'
* (y2) L' R' U2 R U R' U2 L U' R U
* (y2) F2 L' U' r U2 l' U R' U' R2
* (y2) R' U2 R U R' U2' L U' R U L'
* (y2) x U2 r' U' r U2 l' U R' U' R2
* (y) R' U L' U2 R U' R' U2 L R U'
* B2' R2 U' R2' u R2 D' R2' U R2
* R U' L' U R' U2 L U' L' U2' L
* R L d2 R' U' R d2 R' U L'
* (L' U R' U2 L U' R) U (L' U R' U2 L U' R)
* L' U R' U2 L U' R U L' U R' U2 L U' R
* L' U2 L U L' U2 R U' L U R'
* L' U' L F L' U' L U L F' L2 U L U

===J Permutation : b===

[[Image:j.gif]]

* R U2 R' U' R U2 L' U R' U' L
* R U2 R' U' R d2' R' U L' U' R
* y2 R L U2 L' U' L U2 R' U L' U'
* (R U R' F') (R U R' U' R') F (R2 U' R' U')
* y' L' U' R U2 L' U L U2 L' R U
* y2 F2' R U R' y r2 y' R U' R U R2'
* L' U R U' L U2 R' U R U2' R'
* y2 r2 U' L' U r' U2 R B' R' U2
* (R U' L U2 R' U L) U' (R U' L U2 R' U L)
* L' U R' U2 L U' L' U2 R L

===N Permutation : a===

[[Image:n1.gif]]

* R' U R2 B2 U R' B2' R U' B2 R2' U' R
* z D R' U R2 D' R (U' D) R' U R2 D' R U' R
* y' L U' R U2 L' U R' L U' R U2 L' U R'
* R U' R' U l U F U' R' F' R U' R U l' U R'
* L U' L' U L F U F' L' U' L F' L F L' U L'
* R' U L' U2 R U' L R' U L' U2 R U' L
* R U' L d2 L' U L R' U' R U2 r' F l' U' y2
* L U' R U2 L' U R' L U' R U2 L' U R' U'
* y z R' U R' D R2' U' R U D' R' D R2' U' R D'
* R U' L d2 L' U L R' U' R U2 L' U R U'
* F' R U R' U' R' F R2 F U' R' U' R U F' R'

===N Permutation : b===

[[Image:n.gif]]

* R U' R2' F2 U' R F2' R' U F2 R2 U R'
* z U' R D' R2' U R' (U' D) R D' R2 U R' D
* z (D' R U' R2' D R3 U) * 2
* L' U R' U2' L U' L' R U R' U2' L U' R U'
* R' U R U' R' F' U' F R U R' F R' F' R U' R
* z U' R D' R2 U R' U' z' R U R' z R2 U R' z' R U'
* L' U R' z R2 U R' U z' R U R' z R2 U R' z' R U'
* L' U L U' r' U' F' U L F L' U L' U' r U' L
* L U' R U2 L' U R' L U' R U2 L' U R' U'
* R' U R U' R' F' U' F R U R' U' R' d R U R'

===R Permutation : a===

[[Image:r1.gif]]

* y2 z U R2 U' R2 U F' U' R' U R U F U2 R
* y' R2 B' R' U' R' U R B R' U2 R U2 R'
* R U2 R' U2 R B' R' U' R U R B R2' U
* R U2 R' U2 R B' R' U' R U l U R2 F
* U2 R' U' R U2 R U2 L' R2 U R U' R L U2 R'
* y' R U R' F' R U2 R' U2 R' F R U R U2 R' U'
* R U2 R' U' R' F' R U2 R U2 R' F R U' R' U
* R U2 R D R' U R D' R' U' R' U R U R' U
* y2 L U2 L' U2 L F' L' U' L U L F L2 U
* R l U' l' U' R' U l U l' U2 R U2' R'

===R Permutation : b===

[[Image:r.gif]]

* R' U2 R U2 R' F R U R' U' R' F' R2' U'
* y R2 B2 U' R' U' R U R U B2 R U' R U
* R' U2 R U' y' R' F R B' R' F' R z x' R' U R'
* y2 R' U2 l R U' R' U l' U2' R F R U' R' U' R U R' F'
* R' U2 R' D' R U' R' D R U R U' R' U' R U'
* (y x) R2 U l U R U' l' U' l U2 R' U2 R

===T Permutation===

[[Image:t.gif]]

* R U R' U' R' F R2 U' R' U' R U R' F'
* y2 L' U' L U L F' L2 U L U L' U' L F
* F R U' R' U R U R2 F' R U R U' R'
* L2 U' L2 D F2 R2 U R2 D' F2
* R2 U' R2 D B2 L2 U L2 D' B2
* R2' u' R2 U R2' y R2 u R2' U' R2
* R2 U R2' U' R2 U' D R2' U' R2 U R2' D'
* (z x2) U2 r' U2 r U2 x U2 r U2 r' U2

===V Permutation===

[[Image:V.gif]]

* R' U R' U' y x R' U' R2 x' U' R' U R' F R F
* R' U R' U' B' D B' D' B2 R' B' R B R
* R' U R' U' x2 y' R' U R' U' l R U' R' U R U
* y L' U R U' L U L' U R' U' L U2 R U2 R'
* y2 R U' L' U R' U' R U' L U R' U2 L' U2 L
* y' R' U L U' R U R' U L' U' R U2 L U2 L'
* L U' R' U L' U' L U' R U L' U2 R' U2 R
* R' U R' d' R' F' R2 U' R' U R' F R F
* R' U R' U' y z' U' R U' R' U2 y' R' U' R U R
* R' U R' U' y R' F' R2 U' R' U R' F R F
* R' U R' U' y R' D R' D' R2 F' R' F R F
* R' U2 R U2 L U' R' U L' U L U' R U L'
* R' U2 R U2 L U' R' U r' F r U' R U r'

===Y Permutation===

[[Image:Y.gif]]

* F R U' R' U' R U R' F' R U R' U' R' F R F'
* R2 u R2' U R2 D' R' U' R F2' R' U R
* F R' F R2 U' R' U' R U R' F' R U R' U' F'
* R' U' R F2 R' U R d R2 U' R2' U' R2
* R2 U' R' U R U' z' y' L' U' R U' R' U' L U y z
* y F' L' U L U L' U' L F L' U' L U L' F' L F
* F R U' R' F D R' y x R' U' R z R2 y L' d2
* z' U2 L' U' L U L' y' L' U' R U' R' U' L U
* F R' F' R U R U' R2 U' R U l U' R' U
* z U2 R U R' U' R y R U L' U L U R' U'
* F R U' R' U' R d R U R' B' R U' R2
* R' F R F' y' U' R' U R2 U R' U' R' F R F' U'
* y2 z U2 R' U2 R' U2 R B R B ' U2 B R' B'

 {{PLL}}

== See Also ==
* [[2-Look PLL]]

[[Category:Methods]]
[[Category:3x3x3 Methods]]
[[Category:Last Layer Methods]]
[[Category:Cubing Terminology]]
[[Category:Abbreviations and Acronyms]]
[[Category:Algorithms]]
[[Category:Sub Steps]]

List of PC cubing software

2009-12-07T03:54:37Z

Zarxrax: /* Standalone Timers */ - Removed a duplicate entry, a web-based timer, and a broken link

List of PC cubing software

2009-03-05T21:36:53Z

Zarxrax: /* Standalone Timers */

List of PC cubing software

2009-03-05T21:34:50Z

Zarxrax: /* Standalone Timers */