  Several modifications of the famous mathematical Game of Life are introduced
by making Game of Life rules stochastic and mutual influence of cells in their
8-neighborhood on a rectangular lattice spatially non-uniform. Results are
reported of experimental investigation of evolutionary dynamics of the
introduced models. A number of new phenomena in the evolutionary dynamics of
the models and collective behavior of patterns they generate are revealed,
described and illustrated: formation of maze-like patterns as fixed points of
the models, "self-controlled growth", "eternal life" in a bounded space and
"coherent shrinkage".
