This is not a game.
This is Cellular Automaton.
Every square is cell.
Black is alive, white is dead.
Four basic rules are applied on every cell:
1) Live cell with fewer than two live neighbours dies.
2) Live cell with more than three live neighbours dies.
3) Live cell with two or three neighbours is happy cell.
4) Dead cell with exactly three neigbours will be reborn!
More on wiki
to add live cells
[right click] to remove them
] to apply rules once
] to applying them periodically
[undo] to one step back