This is a tale of finding fractals in an unexpected place and why the appearance makes sense in hindsight. I was looking for patterns in valid board game configurations, specifically the middle contesting row in the Game of Ur. In the game, there are eight slots either of the two players may occupy, but a slot may only be occupied by at most one player. I represented the available slots as two bit strings, with each bit representing a single slot. A valid placement is one where the two corres...
