Conway's Game of Life in 3D

3-Dimensional version of Conway's Game of Life. "Life" is a cellular automaton invented by John Conway that involves live and dead cells in a rectangular, two-dimensional universe. This implementation uses a M x M x M grid; the number initial ramdomly generated cells can be changed using the slider control.

Whether cells stay alive, die, or generate new cells depends upon how many of their eight possible neighbors are alive. By using sparse matrices, the calculations required become astonishingly simple. We use periodic (torus) boundary conditions at the edges of the universe. Pressing the "Start" button automatically seeds this universe with several small random communities. Some will succeed and some will fail.