: Precompute distance maps for core patterns. Store them in dictionary files ( .json or binary pickles) so your search tree can instantly discard paths that take too many moves.

There are several Python libraries and projects on GitHub that can help:

A standard 3×3×3 Rubik's Cube has 43 quintillion possible configurations. When you scale that matrix to an N×N×N cube, the complexity grows exponentially. Solving a generalized N×N×N Rubik's Cube requires distinct algorithmic strategies, Group Theory mathematics, and efficient programmatic data structures.

If you're looking to solve a Rubik's Cube with Python, here are some steps and resources: