First glider discovered in a cellular automata on an aperiodic tiling!Adam P. Goucher
It works on the Penrose P3 tiling, made of rhombi. It uses the fact that the sides of rhombi are parallel to guarantee it never gets trapped in a loop. This version has 4 states and uses the Moore neighborhood (vertex-neighbors).
Inspired by the work of Nick Owens and Susan Stepney.