Law-of-life

The universe of the Law of life is an infinite, two-dimensional orthogonal grid of square cells, each of which is in one of two possible states, live or dead, (or populated and unpopulated, respectively). Every cell interacts with its eight neighbours, which are the cells that are horizontally, vertically, or diagonally adjacent. At each step in time, the following transitions occur:
Any live cell with two or three live neighbors survives.
Any dead cell with three live neighbors becomes a live cell.
All other live cells die in the next generation. Similarly, all other dead cells stay dead.