"Life" plays out one generation at a time. The rules dictate what happens from one generation to the next. "Cells" live, die, and come to life.
The classic game of "Life" plays out on a flat, square, two-dimensional, grid. This can be rolled into a cylinder, which can be bent into a torus. This becomes a closed universe with no edges. The properties of every cell are identical. "Life" is contained.
But the "Life" rules can be played out on many other surfaces.
A triangular grid has six triangles at each vertex forming a flat surface or bent into a torus. It is also possible to build grids where seven or eight triangles meet at a vertex. These grids immediately build uniform three dimensional structures extending forever outwards.
Watch in fascination as the game of "Life" is played out on some very interesting surfaces.