The pattern below is a Universal Constructor/Replicator. In the pattern shown, it is just a replicator, but when a different tape is used, then the rule supports Universal Construction. The Constructor itself occupies zero cells, and the tape - a minimum of 12 cells.
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- January 3rd, 2026, 6:53 pm
- Forum: Other Cellular Automata
- Topic: Miscellaneous Discoveries in Other Cellular Automata
- Replies: 5334
- Views: 1320975
- November 24th, 2025, 2:39 am
- Forum: Other Cellular Automata
- Topic: Universal construction of complex patterns from 1 cell
- Replies: 27
- Views: 27086
Re: Universal construction of complex patterns from 1 cell
I have been looking at your improved version - BLAHMONALISA2.rule and I'm curious. How did you achieve such a minimal set of transitions. There appear to be roughly 30,000 transitions in your ROM, but there are still 60,000 painted cells in the Mona Lisa.