OCA:Assimilation

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Assimilation
x=0, y = 0, rule = B345/S4567 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 RANDSEED 1729 THUMBLAUNCH THUMBNAIL THUMBSIZE 2 GRID ZOOM 6 WIDTH 600 HEIGHT 600 LABEL 90 -20 2 "#G" AUTOSTART PAUSE 2 GPS 8 LOOP 256 ]]
LifeViewer-generated pseudorandom soup
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

  1. David Eppstein. "Most Wanted". Which "Life"-Like Systems Have Gliders?.

External links