I recently picked up a Rubik's Cube, intending to refine my ability to mentally work with three-dimensional representations.
But it seems there are two ways of solving the Cube: just play and play and seek patterns on your own, or memorize some algorithms which teach you to efficiently solve the puzzle.
Neither seems satisfactory, since both only incidentally will provide practice on 3D visualization, but without any guidance to focus my effort more forcefully on that aspect.
Specifically, I'm trying to improve my 3D visualization skill via the Rubik's Cube. I believe that would be the same cognitive skill that is tested as the Vandenberg and Kuse Mental Rotations Test, although if there are distinctions, I'd be happy to learn about them.
If there's research that indicates other ways spatial reasoning can be practiced and improved, I'd appreciate that as well.
Does anyone have any recommendations, or pointers offsite?