I saw something about Rubik's cube on Reddit, but I didn't click the link or the comments on Reddit. Later in the day a question popped into my head: do there exist known states that are very random, very 'distant' from a solved state, such that I could keep my Rubik's cube master friend busy for a good while? I googled around, found my way here: http://math.stackexchange.com/questions/150895/is-there-a-mo... -- and there I found the 'God's Number is 20' link (which I've submitted here, because I found it very interesting and thought you guys would too).