Algorithms for the Rubik's Cube

This page is full of interesting algorithms to help you solve the Rubik's Cube (and its related variants). Most of the algorithms here are interesting in some way, and usually I'll explain how. I won't include speedcubing-style algorithms here, though, as they are covered very well by other web sites.

 Algorithms for the 2×2×2 Cube

 Algorithms for the 3×3×3 Cube

 Algorithms for the 4×4×4 Cube

 Algorithms for the 5×5×5 Cube