def _notcell(c): return '0' if c == '1' else '1' def eca_infinite(cells, rule): lencells = len(cells) rulebits = '{0:08b}'.format(rule) neighbours2next = {'{0:03b}'.format(n):rulebits[::-1][n] for n in range(8)} c = cells while True: yield c c = _notcell(c[0])*2 + c + _notcell(c[-1])*2 # Extend and pad the ends c = ''.join(neighbours2next[c[i-1:i+2]] for i in range(1,len(c) - 1)) #yield c[1:-1] if __name__ == '__main__': lines, start, rules = 20, '1', (90, 30, 122) zipped = [range(lines)] + [eca_infinite(start, rule) for rule in rules] print('\n Rules: %r' % (rules,)) for data in zip(*zipped): i = data[0] cells = ['%s%s%s' % (' '*(lines - i), c, ' '*(lines - i)) for c in data[1:]] print('%2i: %s' % (i, ' '.join(cells).replace('0', '.').replace('1', '#')))