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I can solve a cube by hand, but this made me realize that it's mostly muscle memory by now. I couldn't solve it on the web.

Exactly this. It's much harder to work with only being able to view it in 2 dimensions at once as well.

Agreed. I managed to solve it, but only after I got to know the keyboard controls. Much easier to manage. http://www.google.com/doodles/rubiks-cube