Kitsune Game of Life

Game of life it's a cellular automaton devised by the british mathematician John Horton Conway.

This is a zero player game.

Rules

1. Any live cell will fewer than two live neighbours dies, as if by underpopulation
2. Any live cell with two or three neighbours lives on the next generation
3. Any live cell with more than three live neighbours dies, as if by overpopulation
4. Any dead cell with exactly three live neighbours becomes a live cell, as if by reproduction