This Kata is about calculating the next generation of Conway's game of life, given any starting position. See http://en.wikipedia.org/wiki/Conway%27s_Game_of_Life for background.

• 1. Any live cell with fewer than two live neighbours dies, as if caused by under-population.
• 2. Any live cell with two or three live neighbours lives on to the next generation.
• 3. Any live cell with more than three live neighbours dies, as if by overcrowding.
• 4. Any dead cell with exactly three live neighbours becomes a live cell, as if by reproduction.