Allow the faces to be arbitrary images #24
Description
Being able to put images on the faces would be interesting. This would not simply be a cosmetic change: it actually changes how solving works (both because it gives you more information, and because everything needs to be in the correct orientation (which is especially tricky if the surface is non-orient-able)).
You could have a default mode where it just uses some generic logo (such as a MagicTile logo), or let the user insert images from their computer (so for example you could use the Mathologer logo).
To make the feature fully general, it would also be interesting if images have certain symmetries. For example, maybe a given image has rotational symmetry, in which case it would be the same as a regular rubik's cube. Or partial rotational symmetry, in which case it would be between a normal rubik's cube and the random picture one. Or maybe you could give two faces the same picture (meaning that you could interchange their pieces and it would still be considered solved). Or you could give all the center stickers the same picture (like a Void Cube). It might be hard to make the feature this general though.