Another two-dimensional diagram is animated. I let math determine the initial orientation of the image in each cell, as always. Then random number generation takes over during the animation, determining which adjacent cell to move into empty cells. The total set is processed serially.
Peter Schjeldahl, writing for The New Yorker, quoted Gerhard Richter: "Chance is 'more clever than I'". ("Many-colored Glass, Gerhard Richter and Sigmar Polke do windows.", by Peter Schjeldahl, The New Yorker, May 12, 2008.) I think math is more clever than chance, which is more clever than I. Chance, when using a random number generator, is after all math.