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This is a curved 2D representation of Conway's Game of Life, which is a type of cellular automaton (CA). When all the cells turn red, touch the CA and it will start with a random spatial distribution of cells for Generation 0 and then continue to create new generations. The CA will timeout after a certain period of time.
This curved version is identical in operation to the flat one except that the cells are positioned in space according to a 3D function -- in this case a paraboloid.
Conways' Game of life evaluations each grid point, using a Moore neighborhood (8 grid points around any given grid point)