OCA:Assimilation
Assimilation | |
Rulestring | 4567/345 B345/S4567 |
---|---|
Rule integer | 122936 |
Character | Stable |
Black/white reversal | B05678/S012678 |
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Assimilation is a Life-like cellular automaton with rulestring B345/S4567. It is a very stable rule that forms permanent diamond-shaped patterns with partially filled interiors. Like in 2×2, patterns made of blocks will permanently remain made of blocks. Strangely, only even-period oscillators are known.
There are no still lifes, since the lack of S3 implies that on a still life's boundary, there must exist pairs of adjacent on-cells, one with four contiguous adjacent off-cells (outside of the pattern's minimal convex hull), and, due to their minimum of three other neighbours each, between them must trigger B3a or B3i in at least one of these. No spaceships or finite infinite growth patterns are known, but the rule is on David Eppstein's "most-wanted" list.[1]
References
- ↑ David Eppstein. "Most Wanted". Which "Life"-Like Systems Have Gliders?.
External links
- Assimilation (B345/S4567) (discussion thread) at the ConwayLife.com forums
- Assimilation at Adam P. Goucher's Catagolue
- Assimilation at Mirek Wójtowicz's Cellebration page
- Interesting Rules at Fano Experimental Web Server (archived copy)