Chapter 5: Two Dimensions and Beyond

Section 3: Turing Machines

2D mobile automata

Mobile automata can be generalized just like Turing machines. Even in the simplest case, however, with only four neighbors involved there are already (4k)k5 possible rules, or nearly 1029 even for k=2.

Image Source Notebooks:

From Stephen Wolfram: A New Kind of Science [citation]