the following GIF results from the rule shown below—effectively there's three sets of rules rather than one, and which set is applied depends upon the clock tick.
it's not a great innovation. most combinations I've tried either lead towards chaotic soup that never resolves into definite patterns, or a rapid die-off with only a few patterns remaining. this one, at least, produces a curious reduplicating pattern.
birth_rule = [ \
[ 0 ], \
[ 0 ], \
[ 0 ], \
[ 1 ], \
[ 0, 1, 1 ], \
[ 0 ], \
[ 0 ], \
[ 0 ], \
[ 0 ] ]
survive_rule = [ \
[ 0 ], \
[ 0 ], \
[ 1, 1, 0 ], \
[ 0, 1, 1 ], \
[ 1, 0, 0 ], \
[ 0, 0, 1 ], \
[ 0 ], \
[ 0 ], \
[ 0 ] ]