Fast Rubik's Cube engine with Python bindings
Project description
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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