English

On Creativity of Elementary Cellular Automata

Cellular Automata and Lattice Gases 2013-05-14 v1

Abstract

We map cell-state transition rules of elementary cellular automata (ECA) onto the cognitive control versus schizotypy spectrum phase space and interpret cellular automaton behaviour in terms of creativity. To implement the mapping we draw analogies between a degree of schizotypy and generative diversity of ECA rules, and between cognitive control and robustness of ECA rules (expressed via Derrida coefficient). We found that null and fixed point ECA rules lie in the autistic domain and chaotic rules are 'schizophrenic'. There are no highly articulated 'creative' ECA rules. Rules closest to 'creativity' domains are two-cycle rules exhibiting wave-like patterns in the space-time evolution.

Keywords

Cite

@article{arxiv.1305.2537,
  title  = {On Creativity of Elementary Cellular Automata},
  author = {Andrew Adamatzky and Andrew Wuensche},
  journal= {arXiv preprint arXiv:1305.2537},
  year   = {2013}
}
R2 v1 2026-06-22T00:14:58.233Z