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2D Cellular Automata

Netomaton supports 2-dimensional Cellular Automata with periodic boundary conditions. The number of states, k, can be any whole number. The neighbourhood radius, r, can also be any whole number, and both Moore and von Neumann neighbourhood types are supported. The following snippet demonstrates creating a 2D totalistic Cellular Automaton:

import netomaton as ntm

network = ntm.topology.cellular_automaton2d(rows=60, cols=60, r=1, neighbourhood='Moore')

initial_conditions = ntm.init_simple2d(60, 60)

trajectory = ntm.evolve(initial_conditions=initial_conditions, network=network, timesteps=30,
                        activity_rule=ntm.rules.totalistic_ca(k=2, rule=126))

ntm.plot_activities(trajectory, shape=(60, 60))

The full source code can be found here.