Speedsolving.com Wiki - User contributions [en]

Other Puzzle Hardware

2009-10-15T23:28:02Z

Thomas09: /* Megaminx */

This article describes the different mass-produced brands/types of the most commonly solved (non cube) puzzles.

== Magics ==
Magics are flat folding puzzles which are composed of several flat panels held together by loops of plastic wire. It moves similarly to a Jacob's Ladder, except in two dimensions instead of one. There are two competition events for these type of puzzles ([[Magic]], with 8 tiles, and [[Master Magic]], with 12 tiles), both of which involve solving the puzzle from a specific start into a specific solved state.

=== Rubik's ===
:Rubik's was the first company to produce Magics, and because of this most Magics on the market come from that company.

=== DIY Magics ===
:Some Chinese shops, such as Cube4You, sell DIY magic kits, which come with tiles and string and require the buyer to print out paper inserts and then assemble the puzzle themselves. These types of Magics have a very wide variety of tightnesses, and can end up either too tight to stay flat or so loose that wires often pop off.

== Clocks ==
The Clock is a round, 2-sided puzzle that consists of 18 mini "clocks", 9 on each side, arranged in 3x3 squares. The hands on the clock can be manipulated by turning small wheels on the side of the puzzle and by pressing four buttons on the face. The object is to get them all pointing in the 12:00 position. The only commonly used type of [[Clock]] is the Rubik's brand. Since that company no longer produces this puzzle, to get one it is usually necessary to use eBay to find one. Fortunately this is a very common and inexpensive puzzle.

== Pyraminx ==

The Pyraminx is a tetrahedron or rectangular pyramid-shaped twisty puzzle with three layers of moving parts. The parts are arranged in a pyramidal pattern on each side of the puzzle. The layers can be rotated with respect to each vertex, and the individual tips can be rotated as well.

Most cubers use the Meffert's brand Pyraminx, which can be purchased at Mefferts.com online store. They have two models, the original Pyraminx and the Pyraminx II, which is an improved version of the original. There are some Chinese knock-offs available at other sites such as Cube4you.com and DealExtreme.com.

== Megaminx ==
(STUB)
The Megaminx is a dodecahedron shaped twisty puzzle. Each of the 12 sides consists of one pentagonal fixed center, five triangular edge pieces and five corner pieces. The corner and edge pieces are arranged in a five-pointed star pattern. It is also very similar to the 3x3 cube, just extended. The Fridrich method can be converted to the Megaminx by making the star, numerous Corner- Edge pairs and finishing the puzzle with [[OLL]] and [[PLL]]

=== Meffert's ===
:Sold at [http://sites.webec.com.hk/meffert/ Meffert's online shop]. These are generally considered to be the best Megaminx, but are fairly expensive and are often out of stock, making them less accessable than the Chinese brands.

=== Chinese Megaminxes ===
:Chinese versions of the Megaminx (often referred to as "Chinaminxes") are sold at Cube4You and other online sellers of Chinese cube puzzles.

::The [http://www.cube4you.com/102_New-Megaminx.html tiled Chinese Megaminx] has a mechanism that clicks faces into alignment. Because of this, it is not very well suited for speedsolving without modifications.

::The [http://www.cube4you.com/307_Megaminx(PVC-sticker).html PVC Megaminx] is a clone of the Edison Megaminx. It is considerably smoother than the tiled Chinese Megaminx and is comparable to the Meffert's Megaminx after lubing and tuning.

::[http://www.cube4you.com/421_New-12-Color-Tile-Megaminx(Black).html New Tiled Megaminx]

== Square-1 ==
(STUB)

The [[Square-1]] is a cubic puzzle with irregular cubies. The top and bottom layers consist of triangular edge pieces and quadrilateral corner pieces, and the middle layer consists of two trapezoidal pieces. This puzzle does not have fixed center, and when scrambled, shifts to a random shape. The object is to return it to its cubic state as well as to make each side one solid color.

== Rubiks 360 ==

[[Category:Puzzle Hardware]]

Lubrication

2009-10-15T23:15:34Z

Thomas09: /* Other silicone lubricants */

A '''lubricant''' (or '''lube''') is a material which can be put in a [[puzzle]] to make it easier to turn or smoother. This page contains descriptions of different lubricants and specific suggestions for how to use them. In general, to lube a cube, you should apply the lubricant either by removing one piece and spraying it in, or by disassembling the cube completely and coating the pieces in lubricant. After lube is applied, it is usually best to not time a solve immediately, but rather give the lube a few minutes to work in. It is also recommended that you do not apply lube to very stiff cubes, as this can sometimes make them even harder to turn.

== Silicon-Based ==
Silicon-based lubricants are a highly popular and effective way to lubricate cubes.
Silicone sprays leave a smooth coat of lube over the cube's plastic to make it glide smoothly over other surfaces, thus making your cube turn smoother.

===Rubik's Lube===
This is the lube that comes in a syringe-like container when you order from Rubiks.com. It can be found at [http://www.rubiks.com/Shop/Products/Rubiks%20Cube%20Lube%20Kit%203x3.aspx rubiks.com]. A similar (possibly the same) product can be found at [http://stores.shop.ebay.co.uk/PuzzleProz PuzzleProz] . Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=14364 PuzzleProz Lube?]

===Cubelube.com===
This is the exact same lube as sold on Rubiks.com, only with different packaging and a different site. The price is also cheaper than Rubiks.com; this particular lube is found at [http://cubelube.com/ cubelube.com].

===Jig-A-Loo===
Used by many cubers, this lubricant works very well. However, it can melt plastic temporarily, so it is recommended that you completely disassemble your cube to lubricate it, and that you let the pieces dry well before reassembly. Available in the US and Canada. @see [http://www.jigaloo.com/us/e_products_jigaloo.php jigaloo.com], Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=5129 The TRUTH about Jig-A-Loo]

===CRC Silicone Spray===
CRC silicon spray has been used by many cubers. This is a very good lubricant to use. It will dry out soon, but works well. It is known to eat cubes too, so use with caution. Available at Wal Mart in the US and Canada. Available at some hardware stores in Australia.

===Tableau Dry Lube===
A silicone-based spray lubricant, popular in the UK. Cheap to buy and often gets good reviews. [http://www.ebay.co.uk eBay.co.uk] is usually the best place to buy it online. Like most spray lubricants, its propellant can cause temporary melting of plastic, so it is recommended that the cube is disassembled to allow the lube to dry before use.
@see [http://www.tableauproducts.com/ tableauproducts.com]

===Shock Oil===
Another lubricant found in the UK. Made from 100% silicone, designed for RC car shock absorbers. Apparently gives cubes a 'buttery' feel. @see [http://www.racingstate.com/shock-oil.html racingstate.com]

===Maplin Silicone Grease with PTFE===
Works well on [[DIY]] cubes, and is easy to find in the UK. Comes in a spray can with extension tube for lazy lubing. @see [http://www.maplin.co.uk/Module.aspx?ModuleNo=30030&C=SO&U=strat15 maplin.co.uk]

===Armour All original protectant===
It is silicone based, and pretty good, but sometimes causes the cube to gunk up when overlubed. It is recommended that you wipe off excess lubricant after using. @see [http://www.armorall.com/products/view_product.php?product_id=8 armorall.com]

===Other silicone lubricants===
* W5 Silicone Oil - available from LIDL stores across Europe
* [http://www.halfords.com/webapp/wcs/stores/servlet/product_storeId_10001_catalogId_10151_productId_214714_langId_-1_categoryId_165750 3 in 1 silicone spray] - Takes a while to dry. Available in UK hardware stores such as Halfords. It also leaves a very sticky feel to it, even after it has dried.
* Wynn's Silicone Lube - From 'A1', a UK motoring spares store.
* Rapide silicone spray - Available from UK stores.
* [http://www.griffon.nl/NL/nl1/view.do?UID=785d650ff44f636290695a Griffon] - Available in the Netherlands
* [http://www.speedsolving.com/forum/showthread.php?t=4695 Prestone]
* Sprayway

== Petroleum-Based ==
These include lubricants such as vaseline, WD-40, or Liquid Wrench. It is '''recommended that you do not use these, but if you really want to, use them with caution''', as petroleum and petroleum distillates speed the aging of plastic, and may dissolve the plastic resulting in destruction of the pieces and the internal mechanism. Excessive uses of these lubricants often lead to the center mechanism breaking apart completely. Some, however, have reported success using petroleum based lubricants to speed up [[breaking in]] of new cubes.

===Vaseline===
Goopy and well known, this is not the best lube. Being a petroleum based lubricant it will speed the deterioration of the pieces as well as the internal mechanism. Some people recommend using vaseline for a while to wear down the inside of the cube (almost like breaking in the cube) before using other lubricants.

===WD-40===
Known for damaging cubes by wearing the pieces in and making them harder to turn, this does not actually act as a lubricant for the plastic at all. However, there have been some success stories of WD-40 being used on cubes and making them smoother.
It is recommended you '''do not use this'''. If you must, however, you should wash or wipe it off after about half an hour.

===Liquid Wrench===
Even though Liquid Wrench says Silicone Spray on the can, it still contains petroleum distillates. The lubricant also has a very petroleum-like smell and will stay there. Liquid Wrench is not odorless. Do not use this. It contains less than 5% of silicone.

== Miscellaneous Other Lubricants ==

=== Cooking No-stick Spray ===
Yes, PAM. Not necessarily the cleanest or best thing to use, it works nonetheless. It will slowly eat the plastic but not nearly as fast as petroleum based products. It is recommended you clean out your cube frequently if you use this.

=== White Lithium Grease ===
There are some mixed results of this lubricant, but it does work fairly well. The cube will have a sticky feeling after using it, though it wears off after some [[breaking-in]].

=== Furniture Polish ===
Some furniture polishes such as [http://en.wikipedia.org/wiki/Mr._Sheen Mr Sheen] and [http://www.uclean.com/catalog/productInfo/chemicals/polishes/johnson_shine_up_polish_32_oz_lemon.html Shine-Up Polish] contain silicone and can be a cheap and widely available lubricant. Reviews are mixed with some reporting a positive result, while others aren't convinced.

=== Graphite Powder ===
A dry, oil-free solution. Reduces the 'sticky' feeling, but causes cube to turn less smoothly.

== External Links ==
* YouTube: [http://www.youtube.com/watch?v=7ppbBM11UYc How to lubricate a Rubik's cube] - standard method (by Jh543)
* YouTube: [http://www.youtube.com/watch?v=2v0UiJsXb8A How to Lube Your Rubik's Cube] - standard method, inc 4x4x4 (by VanquishSDude)
* YouTube: [http://www.youtube.com/watch?v=tarWH5BCZVw How to Lube Your Cube] - disassembling the cube (by biggajigga721)
* YouTube: [http://www.youtube.com/watch?v=JtOHpSyfjd8 Rubik's Cube Lubrication experiment] (by badmephisto)

* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=5584 Which silicone lubricant to use, and where to get?]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=15450 Jigaloo Vs Crc]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=9801 What Lube and Where to get it from?] (UK Lube)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=12822 UK Cubing Lubricant]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=14477 Shock Oil]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=9380 Lubricant Other than Silicone Spray]

[[Category:Puzzle Hardware]]
[[Category:Cubing Terminology]]

Lubrication

2009-10-15T23:14:10Z

Thomas09: /* CRC Silicone Spray */

A '''lubricant''' (or '''lube''') is a material which can be put in a [[puzzle]] to make it easier to turn or smoother. This page contains descriptions of different lubricants and specific suggestions for how to use them. In general, to lube a cube, you should apply the lubricant either by removing one piece and spraying it in, or by disassembling the cube completely and coating the pieces in lubricant. After lube is applied, it is usually best to not time a solve immediately, but rather give the lube a few minutes to work in. It is also recommended that you do not apply lube to very stiff cubes, as this can sometimes make them even harder to turn.

== Silicon-Based ==
Silicon-based lubricants are a highly popular and effective way to lubricate cubes.
Silicone sprays leave a smooth coat of lube over the cube's plastic to make it glide smoothly over other surfaces, thus making your cube turn smoother.

===Rubik's Lube===
This is the lube that comes in a syringe-like container when you order from Rubiks.com. It can be found at [http://www.rubiks.com/Shop/Products/Rubiks%20Cube%20Lube%20Kit%203x3.aspx rubiks.com]. A similar (possibly the same) product can be found at [http://stores.shop.ebay.co.uk/PuzzleProz PuzzleProz] . Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=14364 PuzzleProz Lube?]

===Cubelube.com===
This is the exact same lube as sold on Rubiks.com, only with different packaging and a different site. The price is also cheaper than Rubiks.com; this particular lube is found at [http://cubelube.com/ cubelube.com].

===Jig-A-Loo===
Used by many cubers, this lubricant works very well. However, it can melt plastic temporarily, so it is recommended that you completely disassemble your cube to lubricate it, and that you let the pieces dry well before reassembly. Available in the US and Canada. @see [http://www.jigaloo.com/us/e_products_jigaloo.php jigaloo.com], Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=5129 The TRUTH about Jig-A-Loo]

===CRC Silicone Spray===
CRC silicon spray has been used by many cubers. This is a very good lubricant to use. It will dry out soon, but works well. It is known to eat cubes too, so use with caution. Available at Wal Mart in the US and Canada. Available at some hardware stores in Australia.

===Tableau Dry Lube===
A silicone-based spray lubricant, popular in the UK. Cheap to buy and often gets good reviews. [http://www.ebay.co.uk eBay.co.uk] is usually the best place to buy it online. Like most spray lubricants, its propellant can cause temporary melting of plastic, so it is recommended that the cube is disassembled to allow the lube to dry before use.
@see [http://www.tableauproducts.com/ tableauproducts.com]

===Shock Oil===
Another lubricant found in the UK. Made from 100% silicone, designed for RC car shock absorbers. Apparently gives cubes a 'buttery' feel. @see [http://www.racingstate.com/shock-oil.html racingstate.com]

===Maplin Silicone Grease with PTFE===
Works well on [[DIY]] cubes, and is easy to find in the UK. Comes in a spray can with extension tube for lazy lubing. @see [http://www.maplin.co.uk/Module.aspx?ModuleNo=30030&C=SO&U=strat15 maplin.co.uk]

===Armour All original protectant===
It is silicone based, and pretty good, but sometimes causes the cube to gunk up when overlubed. It is recommended that you wipe off excess lubricant after using. @see [http://www.armorall.com/products/view_product.php?product_id=8 armorall.com]

===Other silicone lubricants===
* W5 Silicone Oil - available from LIDL stores across Europe
* [http://www.halfords.com/webapp/wcs/stores/servlet/product_storeId_10001_catalogId_10151_productId_214714_langId_-1_categoryId_165750 3 in 1 silicone spray] - Takes a while to dry. Available in UK hardware stores such as Halfords.
* Wynn's Silicone Lube - From 'A1', a UK motoring spares store.
* Rapide silicone spray - Available from UK stores.
* [http://www.griffon.nl/NL/nl1/view.do?UID=785d650ff44f636290695a Griffon] - Available in the Netherlands
* [http://www.speedsolving.com/forum/showthread.php?t=4695 Prestone]
* Sprayway

== Petroleum-Based ==
These include lubricants such as vaseline, WD-40, or Liquid Wrench. It is '''recommended that you do not use these, but if you really want to, use them with caution''', as petroleum and petroleum distillates speed the aging of plastic, and may dissolve the plastic resulting in destruction of the pieces and the internal mechanism. Excessive uses of these lubricants often lead to the center mechanism breaking apart completely. Some, however, have reported success using petroleum based lubricants to speed up [[breaking in]] of new cubes.

===Vaseline===
Goopy and well known, this is not the best lube. Being a petroleum based lubricant it will speed the deterioration of the pieces as well as the internal mechanism. Some people recommend using vaseline for a while to wear down the inside of the cube (almost like breaking in the cube) before using other lubricants.

===WD-40===
Known for damaging cubes by wearing the pieces in and making them harder to turn, this does not actually act as a lubricant for the plastic at all. However, there have been some success stories of WD-40 being used on cubes and making them smoother.
It is recommended you '''do not use this'''. If you must, however, you should wash or wipe it off after about half an hour.

===Liquid Wrench===
Even though Liquid Wrench says Silicone Spray on the can, it still contains petroleum distillates. The lubricant also has a very petroleum-like smell and will stay there. Liquid Wrench is not odorless. Do not use this. It contains less than 5% of silicone.

== Miscellaneous Other Lubricants ==

=== Cooking No-stick Spray ===
Yes, PAM. Not necessarily the cleanest or best thing to use, it works nonetheless. It will slowly eat the plastic but not nearly as fast as petroleum based products. It is recommended you clean out your cube frequently if you use this.

=== White Lithium Grease ===
There are some mixed results of this lubricant, but it does work fairly well. The cube will have a sticky feeling after using it, though it wears off after some [[breaking-in]].

=== Furniture Polish ===
Some furniture polishes such as [http://en.wikipedia.org/wiki/Mr._Sheen Mr Sheen] and [http://www.uclean.com/catalog/productInfo/chemicals/polishes/johnson_shine_up_polish_32_oz_lemon.html Shine-Up Polish] contain silicone and can be a cheap and widely available lubricant. Reviews are mixed with some reporting a positive result, while others aren't convinced.

=== Graphite Powder ===
A dry, oil-free solution. Reduces the 'sticky' feeling, but causes cube to turn less smoothly.

== External Links ==
* YouTube: [http://www.youtube.com/watch?v=7ppbBM11UYc How to lubricate a Rubik's cube] - standard method (by Jh543)
* YouTube: [http://www.youtube.com/watch?v=2v0UiJsXb8A How to Lube Your Rubik's Cube] - standard method, inc 4x4x4 (by VanquishSDude)
* YouTube: [http://www.youtube.com/watch?v=tarWH5BCZVw How to Lube Your Cube] - disassembling the cube (by biggajigga721)
* YouTube: [http://www.youtube.com/watch?v=JtOHpSyfjd8 Rubik's Cube Lubrication experiment] (by badmephisto)

* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=5584 Which silicone lubricant to use, and where to get?]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=15450 Jigaloo Vs Crc]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=9801 What Lube and Where to get it from?] (UK Lube)
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=12822 UK Cubing Lubricant]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=14477 Shock Oil]
* Speedsolving.com: [http://www.speedsolving.com/forum/showthread.php?t=9380 Lubricant Other than Silicone Spray]

[[Category:Puzzle Hardware]]
[[Category:Cubing Terminology]]

Pop

2009-10-08T05:19:36Z

Thomas09: Pop

A "pop" is when the puzzle you are solving pops open during a solve. This may be caused from multiple reasons. Some include: The tensions being too loose, or the puzzle just being bad.

If a pop occurs during your solve you can choose to reassmble it if not serious, or make your time a [[DNF]] if serious ( i.e like a popped Eastsheen 5x5).

PLL

2009-07-14T02:02:18Z

Thomas09: /* Z 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 M2 U M U2 M' U M2
* 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

===U Permutation : b===

[[Image:u.gif]]

* y2 M2 U' M U2 M' U' M2
* M2 U' M' U2 M U' M2
* R' U R' U' R' U' R' U R U R2
* B2 U M' U2 M U B2
* y2 R2 U R U R' U' R' U' R' U R'
* 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]]
* 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'
* 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==

===A Permutation : a===

[[Image:a1.gif]]

* x R' U R' D2 R U' R' D2 R2
* y' x L2 D2 L' U' L D2 L' U L x'
* (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]]

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

===E Permutation===

[[Image:e.gif]]

* 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
* 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')

==Permutations of Edges and Corners==

===F Permutation===

[[Image:f.gif]]

* 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
* 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

===G Permutation : a===

[[Image:g3.gif]]

* 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
* R L U2 R' L' (y') R' U L' U2 R U' L

===G Permutation : b===

[[Image:g2.gif]]

* y L' U' L y' R2' u R' U R U' R u' R2
* R' U' R B2 D L' U L U' L D' B2
* (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 B U' B'
* R U R' F2 D' L U' L' U L' D F2
* L' R' U2 L R (y) L U' R U2 L' U R'

===G Permutation : d===

[[Image:g.gif]]

* y L U' R U2 L' U R' y (R' L') U2 (R L)
* y' (R' F' R F') (U' L' U) (F R' F' L F2 R)
* F2 D' L U' L U L' D F2 R U' R'
* (l' U' U' L' U l F') (U' L U F R' F R)
* (y) L U' R U2 L' U R' (y') L' R' U2 L R
* (y2) l2 U' L2 U' F2 L' U' R U2 L' U l

===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'
* 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
* 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]]

* 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'
* R U' R' U l U F U' R' F' R U' R U l' U R'
* 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]]

* z U' R D' R2' U R' (U' D) R D' R2 U R' D R'
* 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 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 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'
* R U' L' U R' U' R U' L U R' U2 L' U2 L

===Y Permutation===

[[Image:Y.gif]]

* F R U' R' U' R U R' F' R U R' U' R' F R F'
* F R' F R2 U' R' U' R U R' F' R U R' U' F'
* R' U' R F2 R' U R U y' 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'

<br>{{PLL}}

[[Category:3x3x3 methods]]
[[Category:Cubing abbreviations and acronyms]]
[[Category:Algorithms]]