Difference between revisions of "List of pretty patterns"

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==Examples of Simple Pretty Patterns==
 
==Examples of Simple Pretty Patterns==
===[[3x3x3 Cube]]===
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===3x3x3 Cube===
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{{Alg|M2 S2 E2}}
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{{Alg|R2 L2 F2 B2 U2 D2}}
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M2 E2 S2 - "Pons Asinorum", creates a checkerboard pattern on each face.
 
M2 E2 S2 - "Pons Asinorum", creates a checkerboard pattern on each face.
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{{Alg|M2 S2 E2}}
  
 
M S M' S' - "6-Spot", moves all six center pieces around.
 
M S M' S' - "6-Spot", moves all six center pieces around.
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{{Alg|M S M' S}}
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{{Alg|(M z)4}}
  
 
M2 S M2 S' - "4-Spot", moves four of the center pieces around.
 
M2 S M2 S' - "4-Spot", moves four of the center pieces around.
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{{Alg|M2 S M2 S'}}
  
 
(L2 F2 R2 B2)3 - creates a checkerboard on two opposite faces.
 
(L2 F2 R2 B2)3 - creates a checkerboard on two opposite faces.
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{{Alg|L2 F2 R2 B2 L2 F2 R2 B2 L2 F2 R2 B2}}
  
 
U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2 - [[superflip]], flips all edges on the cube without affecting anything else.
 
U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2 - [[superflip]], flips all edges on the cube without affecting anything else.
  
(M U M U M U M U X )x3 - easier version of superflip
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{{Alg|U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2}}
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{{Alg|((M' U)4 x' z)3}}
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(M U M U M U M U X Y')3 - easier version of superflip
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{{Alg|M U M U M U M U X Y' M U M U M U M U X Y' M U M U M U M U X Y'}}
  
 
U2 B2 U2 B2 L R F2 D2 F2 U2 L' R' - Creates the 'Speedsolving.com' logo on a physical cube. Doing the algorithm again re-solves the cube.
 
U2 B2 U2 B2 L R F2 D2 F2 U2 L' R' - Creates the 'Speedsolving.com' logo on a physical cube. Doing the algorithm again re-solves the cube.
  
===[[2x2x2 Cube]]===
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{{Alg|U2 B2 U2 B2 L R F2 D2 F2 U2 L' R'}}
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===2x2x2 Cube===
 
Some patterns can be found easily just by doing a combination of 180 degree twists.
 
Some patterns can be found easily just by doing a combination of 180 degree twists.
  
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F2 R2 U' F' U R' U2 R U' F' - creates a 'cube in a cube' effect.
 
F2 R2 U' F' U R' U2 R U' F' - creates a 'cube in a cube' effect.
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===4x4x4 Cube===
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Create a checkerboard pattern on 4 faces.
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{{Alg|3Rw2 Rw2' R2 3Fw2 2Fw2' F2 3Rw2 Rw2' R2 3Dw2 Dw2' D2|cube=4x4x4}}
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===5x5x5 Cube===
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Create a checkerboard pattern on 4 faces.
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{{Alg|2Rw2 2Bw2 M2 2Fw2 2Lw2 E2 R2 B2 m2 F2 L2 e2|cube=5x5x5}}
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Create a checkerboard pattern on 6 faces.
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{{Alg|4Rw2 3Rw2' Rw2 R2' 4Fw2 3Fw2' 2Fw2 F2' 4Dw2 3Dw2' Dw2 D2'|cube=5x5x5}}
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===Higher Order Cubes===
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Create a checkerboard pattern on 4 faces.
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{{Alg|5Rw2 4Rw2' 3Rw2 Rw2' R2 5Fw2 4Fw2' 3Fw2 2Fw2' F2 5Rw2 4Rw2' 3Rw2 Rw2' R2 5Dw2 4Dw2' 3Dw2 Dw2' D2|cube=6x6x6|comment=6x6x6}}
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{{Alg|3Rw2 3Bw2 M2 3Fw2 3Lw2 E2 2Rw2 2Bw2 (5Rw2 2Rw2') 2Fw2 2Lw2 (5Dw2 2Dw2') R2 B2 m2 F2 L2 e2 z2|cube=7x7x7|comment=7x7x7}}
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{{Alg|7Rw2 6Rw2' 5Rw2 4Rw2' 3Rw2 Rw2' R2 7Fw2 6Fw2' 5Fw2 4Fw2' 3Fw2 2Fw2' F2 7Rw2 6Rw2' 5Rw2 4Rw2' 3Rw2 Rw2' R2 7Dw2 6Dw2' 5Dw2 4Dw2' 3Dw2 Dw2' D2|cube=8x8x8|comment=8x8x8}}
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{{Alg|4Rw2 4Bw2 M2 4Fw2 4Lw2 E2 3Rw2 3Bw2 (6Rw2 3Rw2') 3Fw2 3Lw2 (6Dw2 3Dw2') 2Rw2 2Bw2 (7Rw2 2Rw2') 2Fw2 2Lw2 (7Dw2 2Dw2') R2 B2 m2 F2 L2 e2|cube=9x9x9|comment=9x9x9}}
  
 
===Other Puzzles===
 
===Other Puzzles===
 
Pretty patterns are possible for every puzzle, but for some puzzles (such as [[Megaminx]]) the algorithms to create them would be so long and unwieldy that pattern creators do not even try to create them. In these cases it is necessary to just solve the puzzle into the required pattern, which is in fact one possible way to create any pattern on any puzzle.
 
Pretty patterns are possible for every puzzle, but for some puzzles (such as [[Megaminx]]) the algorithms to create them would be so long and unwieldy that pattern creators do not even try to create them. In these cases it is necessary to just solve the puzzle into the required pattern, which is in fact one possible way to create any pattern on any puzzle.
  
== See Also ==
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== External links ==
* [[Puzzle Theory]]
 
 
 
== External Links ==
 
 
* [http://www.randelshofer.ch/rubik/patterns.html More examples of pretty patterns]
 
* [http://www.randelshofer.ch/rubik/patterns.html More examples of pretty patterns]
 
* [http://www.twistypuzzles.com/forum/viewtopic.php?t=10244 A TwistyPuzzles topic with patterns for the 6x6x6 and 7x7x7]
 
* [http://www.twistypuzzles.com/forum/viewtopic.php?t=10244 A TwistyPuzzles topic with patterns for the 6x6x6 and 7x7x7]
 
* [http://www.math.ucf.edu/~reid/Rubik/patterns.html]
 
* [http://www.math.ucf.edu/~reid/Rubik/patterns.html]
  
[[Category:Puzzle Theory]]
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[[Category:Concepts and knowledge]]
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[[Category:Lists|pretty patterns]]

Revision as of 15:12, 21 May 2019

A pretty pattern is an aesthetic state of a puzzle. Some cubers create and share pretty patterns for amusement.

Examples of Simple Pretty Patterns

3x3x3 Cube

Speedsolving Logo tiny.gif Alg M2 S2 E2
Speedsolving Logo tiny.gif Alg R2 L2 F2 B2 U2 D2


M2 E2 S2 - "Pons Asinorum", creates a checkerboard pattern on each face.

Speedsolving Logo tiny.gif Alg M2 S2 E2


M S M' S' - "6-Spot", moves all six center pieces around.

Speedsolving Logo tiny.gif Alg M S M' S
Speedsolving Logo tiny.gif Alg (M z)4


M2 S M2 S' - "4-Spot", moves four of the center pieces around.

Speedsolving Logo tiny.gif Alg M2 S M2 S'


(L2 F2 R2 B2)3 - creates a checkerboard on two opposite faces.

Speedsolving Logo tiny.gif Alg L2 F2 R2 B2 L2 F2 R2 B2 L2 F2 R2 B2


U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2 - superflip, flips all edges on the cube without affecting anything else.

Speedsolving Logo tiny.gif Alg U R2 F B R B2 R U2 L B2 R U' D' R2 F R' L B2 U2 F2
Speedsolving Logo tiny.gif Alg ((M' U)4 x' z)3


(M U M U M U M U X Y')3 - easier version of superflip

Speedsolving Logo tiny.gif Alg M U M U M U M U X Y' M U M U M U M U X Y' M U M U M U M U X Y'


U2 B2 U2 B2 L R F2 D2 F2 U2 L' R' - Creates the 'Speedsolving.com' logo on a physical cube. Doing the algorithm again re-solves the cube.

Speedsolving Logo tiny.gif Alg U2 B2 U2 B2 L R F2 D2 F2 U2 L' R'


2x2x2 Cube

Some patterns can be found easily just by doing a combination of 180 degree twists.

R2 F2 R2 U2 - creates a checkerboard pattern on four faces.

F2 R2 U2 F2 - creates a striped pattern on each face.

F2 R2 F2 - creates stripes on four of the faces. (This is also a PBL case.)

F2 R2 U' F' U R' U2 R U' F' - creates a 'cube in a cube' effect.

4x4x4 Cube

Create a checkerboard pattern on 4 faces.

Speedsolving Logo tiny.gif Alg 3Rw2 Rw2' R2 3Fw2 2Fw2' F2 3Rw2 Rw2' R2 3Dw2 Dw2' D2


5x5x5 Cube

Create a checkerboard pattern on 4 faces.

Speedsolving Logo tiny.gif Alg 2Rw2 2Bw2 M2 2Fw2 2Lw2 E2 R2 B2 m2 F2 L2 e2


Create a checkerboard pattern on 6 faces.

Speedsolving Logo tiny.gif Alg 4Rw2 3Rw2' Rw2 R2' 4Fw2 3Fw2' 2Fw2 F2' 4Dw2 3Dw2' Dw2 D2'


Higher Order Cubes

Create a checkerboard pattern on 4 faces.

Speedsolving Logo tiny.gif Alg 6x6x6: 5Rw2 4Rw2' 3Rw2 Rw2' R2 5Fw2 4Fw2' 3Fw2 2Fw2' F2 5Rw2 4Rw2' 3Rw2 Rw2' R2 5Dw2 4Dw2' 3Dw2 Dw2' D2
Speedsolving Logo tiny.gif Alg 7x7x7: 3Rw2 3Bw2 M2 3Fw2 3Lw2 E2 2Rw2 2Bw2 (5Rw2 2Rw2') 2Fw2 2Lw2 (5Dw2 2Dw2') R2 B2 m2 F2 L2 e2 z2
Speedsolving Logo tiny.gif Alg 8x8x8: 7Rw2 6Rw2' 5Rw2 4Rw2' 3Rw2 Rw2' R2 7Fw2 6Fw2' 5Fw2 4Fw2' 3Fw2 2Fw2' F2 7Rw2 6Rw2' 5Rw2 4Rw2' 3Rw2 Rw2' R2 7Dw2 6Dw2' 5Dw2 4Dw2' 3Dw2 Dw2' D2
Speedsolving Logo tiny.gif Alg 9x9x9: 4Rw2 4Bw2 M2 4Fw2 4Lw2 E2 3Rw2 3Bw2 (6Rw2 3Rw2') 3Fw2 3Lw2 (6Dw2 3Dw2') 2Rw2 2Bw2 (7Rw2 2Rw2') 2Fw2 2Lw2 (7Dw2 2Dw2') R2 B2 m2 F2 L2 e2


Other Puzzles

Pretty patterns are possible for every puzzle, but for some puzzles (such as Megaminx) the algorithms to create them would be so long and unwieldy that pattern creators do not even try to create them. In these cases it is necessary to just solve the puzzle into the required pattern, which is in fact one possible way to create any pattern on any puzzle.

External links