I found this article from MIT interesting. New research establishes the relationship between the number of squares in a Rubik’s-cube-type puzzle and the maximum number of moves required to solve it.
...an international team of researchers proved that no matter how scrambled a cube got, it could be solved in no more than 20 moves. Although the researchers used some clever tricks to avoid evaluating all 43 quintillion of the cube’s possible starting positions, their proof still relied on the equivalent of 35 years’ worth of number crunching on a good modern computer.
For you enjoyment, here's a 3D animation of the Rubik's cube created with Creo
Good stuff! But I thought that the trick to doing the cube was to make sure your fingers weren't oily so that the stickers would still stick when you put them back on?