Ok, I'll be honest, I gave up very quickly because I generally suck at Rubicks cubes, but what a cool idea! Its one type of simulator I wouldn't have predicted.
Have you thought of making an Enriched version, that does things that a physical one could not do? I don't know, maybe introduce color swapping in a given square, or have hidden colors (like a fog of war concept) or special "powers" that allow you to make extra swaps, or "wildcard" colors, that can be changed to whatever you need, or more dimensions, timers, etc.
I dunno, jjust to take advantage that it's digital. congrats!