01 Apr '06 17:33>
Originally posted by FreakyKBHwill this help? I realize it's not a differential equation
Results, right? I was referencing action.
Life[m_List?MatrixQ,
{g1_Integer?NonNegative,g2_Integer?NonNegative}]:=
CellularAutomaton[
{ 224, {2,{{2,2,2},{2,1,2},{2,2,2}}}, {1,1} }, {m,0}, g2,
{ {g1,g2}, Automatic }] /; g2>=g1
Amazingly, life is a universal cellular automaton, in the sense that it is effectively capable of emulating any cellular automaton, Turing machine, or any other system that can be translated into a system known to be universal. The outlines of a proof for life's universality were given by Berlekamp, Conway, and Guy (1982) and independently by Gosper (Gardner 1983, pp. 250-253)