Urban Larsson - Self-organization in combinatorial games

By generalizing the classical heap game of Wythoff Nim (a.k.a Corner-the-Lady), we have empirical evidence of self-organization of the evolution diagrams, which describe the winning strategies of the games. In one project (Blocking Wythoff Nim with Matthew Cook and Turlough Neary), we prove that a diamond shaped Cellular Automaton emulates the games. In another project (Linear Nimhoff a.k.a Generalized Diagonal Wythoff Nim), we use a method from Physics (renormalization) to describe the 'larger geometry' of the winning strategies (with Adam Landsberg, Scott Garrabrant, Eric Friedman and Ilona Phipps-Morgan).