Definition:Conway Life

Definition
Any cellular evolution deriving from a stencil shaped is called a Conway Life.
 * $(X:=\Z^2,$
 * 1) $S_X:=2:=\{0,1\},$
 * 2) $S(0)\in(\Z^2\to 2),$
 * 3) $\Delta:=((0,0),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1),(-1,0),(-1,1)),$
 * 4) $\delta(m,n_1,n_2,n_3,n_4,n_5,n_6,n_7,n_8):=(m,\sum_{i=1}^8n_i)\in\{(0,3),(1,2),(1,3)\}?1:0)$


 * Any Computation Is Simulated By At Least One Equivalent Conway Life
 * The Hashlife Algorithm Speeds Up Conway Life Computations