totalistic

Of or relating to totalism.

Having the state of each cell represented by a number, and the value of a cell dependent only on the sum of the values of nearby cells.

BTW: Of course the rules were parametrised, so any totalistic 2-dimensional 9-neighbourhood CA could be run.

Note that the game of life is not totalistic: the transition function depends on the cell's own state and on the sum of the neighboring states.

Outer totalistic.

Many good applets run Moore binary totalistic rules such as Conway's Life, but WebsideCA also runs von Neumann rules, rules in the "Brian's Brain" family, non-totalistic binary and decay rules, and Cyclic rules.

Since Life is totalistic on 8 neighbours, this requires no extra assumptions.