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Fast Rubik's Cube engine with Python bindings

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Cubik

C++ module for emulating a Rubik's cube and its behaviors for implementing solving algorithms, search algorithms, and more.

The Cube Model

For cube notation please refer to 3x3 Rubik's Cube Move Notation.

Memory Model

In this cube model we attempt to be as memory efficient as possible so, in memory each face is stored as a uint32 such that:

Unused Bottom Right Bottom Middle Bottom Left Middle Right Center Middle Left Top Right Top Middle Top Left
b31 b30 b29 b28 b27 b26 b25 b24 b23 b22 b21 b20 b19 b18 b17 b16 b15 b14 b13 b12 b11 b10 b9 b8 b7 b6 b5 b4 b3 b2 b1 b0

Visualized/Printed Model

Cube Layout:

          +---------+
          |         |
          |    U    |
          |         |
+---------+---------+---------+---------+
|         |         |         |         |
|    L    |    F    |    R    |    B    |
|         |         |         |         |
+---------+---------+---------+---------+
          |         |
          |    D    |
          |         |
          +---------+
Letter Face
U Up
L Left
F Front
R Right
B Back
D Down

Face Layout:

Top Left Top Middle Top Right
Middle Left Center Middle Right
Bottom Left Bottom Middle Bottom Right

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