pyTwistyScrambler

A Python package for generating scrambles of various twisty puzzles, including the Rubik's cube, 4x4x4 cube, and others. Thanks to csTimer for providing the bulk of the Javascript scrambling source code around which this project is a wrapper. Also thanks to torchlight for the FTO random-state Javascript scrambling source.

Example usage

from pyTwistyScrambler import scrambler333, scrambler222, scrambler444,\
	megaminxScrambler, squareOneScrambler, ftoScrambler, rexScrambler

scrambler333.get_WCA_scramble()
# D2 L F2 L2 F2 U2 L D2 F2 L' B' U2 F2 D' F D2 B' U2 R U'

scrambler222.get_WCA_scramble()
# R' F2 U2 R' U R2 F' U' F' U'

scrambler444.get_WCA_scramble()
# L2 F D2 R U Fw' Uw D L F Rw D' F L2 F' Rw' F Uw B' F' L2 B' U' Rw' F B R' D U2 L2 Fw' B D' Rw' Uw' B' Fw' R2 L2 U

megaminxScrambler.get_WCA_scramble()
# R-- D-- R++ D++ R++ D++ R++ D++ R++ D++ U R-- D++ R-- D++ R-- D++ R-- D++ R-- D-- U' R-- D++ R-- D-- R-- D++ R-- D-- R-- D-- U' R++ D++ R-- D-- R++ D-- R-- D++ R-- D-- U' R-- D-- R++ D++ R++ D-- R++ D++ R++ D-- U' R-- D-- R++ D-- R++ D-- R++ D-- R++ D++ U R++ D-- R++ D-- R++ D++ R-- D-- R++ D++ U

squareOneScrambler.get_WCA_scramble()
# (0, -1)/(4, 1)/(-4, 5)/(0, -3)/(1, -2)/(3, 0)/(2, 0)/(0, -3)/(4, -3)/(0, -4)/(2, 0)/(5, -2)/(4, 0)

ftoScrambler.get_random_state_scramble()
# U L' U' L U L' U L' U' L' U' L' U' L' U L U' L' F L R L' F L U' F' R' U' R B R BR R' BL B'

rexScrambler.get_random_state_scramble()
# f F R F' R' f' F' L' F' f R' f' R F f' L f F R F' f' R f L' f' F' R L' f' L r l L' f L r'

What scrambles can be generated?

3x3x3 (Rubik's cube)

In scrambler333 module:

• get_WCA_scramble() random state scramble (WCA)
• get_3BLD_scramble() BLD scramble
• get_edges_scramble() edges-only
• get_corners_scramble() corners-only
• get_LL_scramble() LL (last layer)
• get_F2L_scramble() F2L (first two layers)
• get_easy_cross_scramble(n=4) easy cross (where cross can be solved in n moves)
• get_LSLL_scramble() LSLL
• get_ZBLL_scramble() ZBLL
• get_ZZLL_scramble() ZZLL
• get_ZBLS_scramble() ZBLS
• get_LSE_scramble() LSE
• get_CMLL_scramble() CMLL
• get_CLL_scramble() CLL
• get_ELL_scramble() ELL
• get_EOLine_scramble() EO Line
• get_2genRU_scramble() 2-gen with RU moves
• get_2genLU_scramble() 2-gen with LU moves
• get_2genMU_scramble() 2-gen with MU moves
• get_3genFRU_scramble() 3-gen with FRU moves
• get_3genRUL_scramble() 3-gen with RUL moves
• get_3genRrU_scramble() 3-gen with RrU moves
• get_half_turns_scramble() half-turns only

2x2x2

In scrambler222 module:

• get_WCA_scramble() random scramble (WCA)
• get_optimal_scramble() optimal random state scramble

4x4x4

In scrambler444 module:

• get_WCA_scramble(n=40) random scramble (WCA) of length n
• get_4BLD_scramble(n=40) alias of get_WCA_scramble
• get_SiGN_scramble(n=40) SiGN-notation scramble of length n
• get_random_state_scramble() random state scramble (note: this is slow)
• get_edges_scramble(n=8) edges scramble

5x5x5

In scrambler555 module:

• get_WCA_scramble(n=60) random scramble (WCA) of length n
• get_5BLD_scramble(n=60) alias of get_WCA_scramble
• get_SiGN_scramble(n=60) SiGN-notation scramble of length n
• get_edges_scramble(n=8) edges scramble

6x6x6

In scrambler666 module:

• get_WCA_scramble(n=80) random scramble (WCA) of length n
• get_SiGN_scramble(n=80) SiGN-notation scramble of length n
• get_edges_scramble(n=8) edges scramble

7x7x7

In scrambler777 module:

• get_WCA_scramble(n=100) random scramble (WCA) of length n
• get_SiGN_scramble(n=100) SiGN-notation scramble of length n
• get_edges_scramble(n=8) edges scramble

Pyraminx

In pyraminxScrambler module:

• get_WCA_scramble() random scramble (WCA)
• get_optimal_scramble() optimal random state scramble

Megaminx

In megaminxScrambler module:

• get_WCA_scramble(n=70) random scramble (WCA) of length n
• get_Carrot_scramble(n=70) Carrot-notation scramble of length n
• get_old_style_scramble(n=70) old-style scramble of length n

Square-1

In squareOneScrambler module:

• get_WCA_scramble() random scramble (WCA)
• get_face_turn_metric_scramble(n=40) face-turn metric scramble of length n
• get_twist_metric_scramble(n=20) twist metric scramble of length n

Skewb

In skewbScrambler module:

• get_WCA_scramble() random scramble (WCA)
• get_ULRB_scramble() ULRB scramble

Clock

In clockScrambler module:

• get_WCA_scramble() Clock scramble (WCA notation)
• get_Jaap_scramble() Clock scramble (Jaap notation)
• get_concise_scramble() Clock scramble (concise notation)
• get_efficient_pin_order_scramble() Clock scramble (efficient pin order notation)

FTO (Face-turning octahedron)

In ftoScrambler module:

• get_random_state_scramble() random-state scramble (note: this takes ~10s per scramble)
• get_multiple_random_state_scrambles(n) returns a list of n random-state scrambles
• get_random_moves_scramble(n=30) random-moves scramble of length n

If you need multiple random-state scrambles, it's much faster to use get_multiple_random_state_scrambles than calling get_random_state_scramble multiple times; the former takes the usual ~10s for the first scramble but then the remaining scrambles are much faster (less than 1s per scramble). This is due to how the underlying FTO scrambler generates background data during the first scramble which is used to speed up subsequent scrambles.

Rex Cube

In rexScrambler module:

• get_random_state_scramble() random-state scramble (note: this takes ~10s per scramble)
• get_multiple_random_state_scrambles(n) returns a list of n random-state scrambles
• get_random_moves_scramble(n=30) random-moves scramble of length n

Since Rex Cube and FTO are mechanically the same puzzle, this is actually a wrapper around ftoScrambler which translates the FTO notation to Rex Cube notation.

If you need multiple random-state scrambles, it's much faster to use get_multiple_random_state_scrambles than calling get_random_state_scramble multiple times; the former takes the usual ~10s for the first scramble but then the remaining scrambles are much faster (less than 1s per scramble). This is due to how the underlying FTO scrambler generates background data during the first scramble which is used to speed up subsequent scrambles.

Big cubes

In bigCubesScrambler module:

• get_8x8x8_scrambler(n=120) 8x8x8 scramble (SiGN notation) of length n
• get_9x9x9_scrambler(n=120) 9x9x9 scramble (SiGN notation) of length n
• get_10x10x10_scrambler(n=120) 10x10x10 scramble (SiGN notation) of length n
• get_11x11x11_scrambler(n=120) 11x11x11 scramble (SiGN notation) of length n

Cuboids

In cuboidsScrambler module:

• get_1x1x2_scramble() 1x1x2 cuboid scramble
• get_1x3x3_scramble() 1x3x3 cuboid (floppy cube) scramble
• get_floppy_cube_scramble() alias of get_1x3x3_scramble()
• get_super_floppy_cube_scramble() 1x3x3 cuboid (super floppy cube) scramble
• get_2x2x3_scramble() 2x2x3 cuboid scramble
• get_3x3x2_scramble() 3x3x2 cuboid scramble
• get_3x3x4_scramble() 3x3x4 cuboid scramble
• get_3x3x5_scramble(n=25) 3x3x5 cuboid scramble, where n is the length of the non-3x3 portion of the scramble
• get_3x3x6_scramble() 3x3x6 cuboid scramble
• get_3x3x7_scramble(n=40) 3x3x7 cuboid scramble, where n is the length of the non-3x3 portion of the scramble