Continuous CA

Cellular Automata needn’t consist of discrete activities. The units in an automaton can also take on continuous-valued activities (i.e. states).

The example below implements a continuous-valued Cellular Automaton from Stephen Wolfram’s book A New Kind of Science, found on page 157:

import math
import numpy as np
import cellpylib as cpl

cellular_automaton = cpl.init_simple(200, dtype=np.float64)

def apply_rule(n, c, t):
    result = (sum(n) / len(n)) * (3 / 2)
    frac, whole = math.modf(result)
    return frac

cellular_automaton = cpl.evolve(cellular_automaton, timesteps=150,
                                apply_rule=apply_rule)

cpl.plot(cellular_automaton)

References:

Wolfram, S. (2002). A New Kind of Science (page 157). Champaign, IL: Wolfram Media.