Implementation of Rubik's Cube Formula in PyCuber

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The document discusses PyCuber, a Python package for solving Rubik's Cubes. It introduces Rubik's Cube and its creator Erno Rubik. It then describes how PyCuber implements classes like Step and Formula to represent cube positions and solving algorithms. Various methods are included, like optimizing formulas and randomizing or mirroring solutions. Some interesting Rubik's Cube facts and records are also mentioned.

Software

RUBIK'S CUBE
FORMULA IN PYCUBER
Adrian Liaw

ABOUT ME
Junior high school student
Home-schooling
"Learning Reinforcer" at Agilearning

AGENDA
Why / What's PyCuber
Several Parts in PyCuber
Rubik's Cube (And Notations)
Implementations
Things About Rubik's Cube

BASIC NOTATIONS
R (right)
L (left)
U (up)
B (bottom)
F (front)
B (back)

STEP
face (F, L, d, y)
extra symbol (counter-clockwise, 180 degrees)

SEVERAL UTILITIES
__add__
__mul__
__hash__

INITIALISING A FORMULA
Formula([Step("R"), Step("U")])
Formula("R U R' U'")

SEVERAL UTILITIES
__mul__
__eq__
__lt__
...etc

REWRITING METHODS
append
insert
count
remove
__contains__

OPTIMISE
No wide actions
No whole cube rotations
No repeated steps

FASTEST SOLVE
5.25 SECONDS BY COLLIN BURNS

FASTEST ONE-HANDED SOLVE
6.88 SECONDS BY FELIKS ZEMDEGS

FASTEST BLINDFOLDED SOLVE
(Including memorisation)
21.17 SECONDS BY MARCIN KOWALCZYK

FASTEST NON-HUMAN SOLVING
3.253 SECONDS BY CUBESTORMER III

EVERY LEGAL PERMUTATION CAN BE
SOLVED IN 20 MOVES OR LESS

THERE ARE 43,252,003,274,489,856,000
POSSIBLE PERMUTATIONS

HTTP://GITHUB.COM/ADRIANLIAW
HTTP://GITHUB.COM/ADRIANLIAW/PYCUBER

“If you are curious, you’ll find the puzzles around you. If you
are determined, you will solve them.”
– Ernő Rubik.

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