[enjfhdju] CA on other manifolds

What interesting patterns are there for Conway's Game of Life on a torus?

Also easy to simulate (and depict) would be the surface of a cube (or any rectangular parallelepiped).  Cells at corners only have 7 neighbors instead of 8.  Life rules only care about the counts of dead and alive cells, not exactly where they are, so we don't need to modify rules for the cube.  Such cellular automata can easily be extended to any manifold, even any graph, but which are the interesting ones?