OCA:Coral

Coral
x=64, y = 64, rule = B3/S45678 ! #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	45678/3 B3/S45678
Rule integer	253960
Character	Explosive
Black/white reversal	B5678/S01234678

Coral is a Life-like cellular automaton. Its rulestring is B3/S45678, which means that a cell is born when it has exactly 3 alive neighbours, and an alive cell survives when it has at least 4 alive neighbours.

This rule produces patterns with a surprisingly slow rate of expansion and an interesting coral-like texture.

Patterns

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.

Oscillators

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4o7bob2ob2o10bo4bo10b2o3b2o7b2o2b2o2b2o2b2o8b3o9b3o184b4o7bo15b2o17b2o $b3o24b3ob2ob2ob3o11b3ob2o9bo4bo10b2o3b2o7b4o6b4o8b3o9b3o187bo6bo15b2o 19b2o$2bo5bo3bo14bob11obo11b3ob2o5bob2o4b2obo8b2ob2o7b5o6b5o6b3o11b3o 187bo4bo16b2o19b2o$2bo5bo3bo16b3ob3ob3o15b4o6b10o10b3o8bo2bo8bo2bo7b3o 9b3o188bo3b2o17b2o17b2o$2bo5bo3bo15bo5bo5bo15b2o5b3ob2o2b2ob3o8b3o8bo 2bo8bo2bo7b3o9b3o184bo3bo3bo17b5o13b5o$5o4b3o51b5o4b5o8b3o8b5o6b5o7bob 2o7b2o186bo3bo3bo3bo14b6o2b2ob2o2b6o$65b2obo2bob2o22b4o6b4o9b4o5b4o 186b3o4b5o14bo2b15o2bo$65b2o6b2o22b2o2b2o2b2o2b2o8b7ob6o215b4ob5ob4o$ 97b2o2b6o2b2o9b3ob5ob3o215b3o3b3o3b3o$96b2ob4o2b4ob2o12b6obo$53bobo39b 2ob5o2b5ob2o13bo$36b2o14b5o38b4o3b4o3b4o24bobo$33b8o12b3o13bobo13bo10b 2o12b2o24b5o$32b4o2b4o9b3ob3o12b3o7b3ob2o51b3o$33b2o4b2o10b3ob3o9bob4o 6b9o35bo14bo$31b4o4b4o8b3ob3o8b4ob2o6b2ob2ob2o33b7o10b3o$31b3o6b3o10b 3o10b3ob2o6b2o6b2o28b3o2b5o2b3o6b3o$30b4o6b4o8b5o9b2ob3o6b2o6b2o16b2o 10b6obob6o7bo$31bob2o4b2obo10bobo9b2ob4o7b2ob2ob2o11bo4b3o10b2o2b2obob 2o2b2o6b3o$31b4o4b4o22b4obo8b9o10b2ob5o9b2o5b3o5b2o4b5o$32b2o6b2o23b3o 12b3ob2o9b8o2b2o8b2o5b3o5b2o5bobo$31b4o4b4o23bobo16bo10b4o5b2o9b2o2b2o bob2o2b2o$31bob2o4b2obo52b2o5b4o10b6obob6o$30b4o6b4o51b2o2b8o9b3o2b5o 2b3o$31b3o6b3o30b4o19b5ob2o16b7o$31b4o4b4o30b4o19b3o4bo19bo$33b2o4b2o 32b2ob4o16b2o$32b4o2b4o31b3ob2o$33b8o34b4o$36b2o37b3o$75bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] [[ ZOOM 2 WIDTH 800 HEIGHT 640 ]]

Oscillator collection (click above to open LifeViewer) RLE: here Plaintext: here

Spaceship

The rule is on David Eppstein's "most-wanted" list. The first known spaceship was found by Josh Ball in 2013; it is a non-monotonic forward dot sparker that travels at c/5 orthogonal. A reduction was found, from 383 to 310 cells and a 25 × 55 to 27 × 35 bounding box, by lordlouckster on December 5, 2023, together with a c/6 orthogonal spaceship.

x = 54, y = 55, rule = B3/S45678 8b9o19b9o$8b3o3b3o19b3o3b3o$8b3o3b3o15b3ob3o3b3ob3o$9bo5bo20b3o3b3o$8bobo3bobo11b4o3b4o3b4o3b4o$28b2ob2o7bo7b2ob2o$8bo2b3o2bo11b2ob2obobobo3bobobob2ob2o$10b5o13b2ob2o15b2ob2o$8bo2b3o2bo10b3ob2o15b2ob3o$4b4o4bo4b4o7b2obobo2b9o2bobob2o$5b4o2bobo2b4o14b2o9b2o$5b3o4bo4b3o14b3obo3bob3o$7bo2b5o2bo12b3ob4ob3ob4ob3o$5bo5bobo5bo10b4obobob3obobob4o$2b3obo11bob3o7b2ob2obo2b3o2bob2ob2o$2b2obo13bob2o7b2o5bob3obo5b2o$2b2obobo9bobob2o6b3o3bobo5bobo3b3o$3bo2b4o5b4o2bo8bo2bobo9bobo2bo$2b2o2b5o3b5o2b2o7bo3bo11bo3bo$8b2o5b2o17bo11bo$2b2o3bobo5bobo3b2o11bo11bo$b4o15b4o8b4o9b4o$3obo3b2o5b2o3bob3o7b3o11b3o$4b3o11b3o12b2o2b7o2b2o$7bo9bo11b2o2b2o2b2o3b2o2b2o2b2o$9bo5bo11b4o2bo3b2obob2o3bo2b4o$7b4o3b4o10b2o6b4ob4o6b2o$3b2o2b3o5b3o2b2o13bobo5bobo$2b4o3bo5bo3b4o15bo3bo$3b2obobobo3bobobob2o15b2o3b2o$3bobo13bobo14b2o5b2o$28bo2b3ob3o5b3ob3o2bo$5bo2bo7bo2bo8b4o2bobo7bobo2b4o$2b3obob3o3b3obob3o4b4o19b4o$3b2o3b4ob4o3b2o5b4o19b4o$2bobobob3o3b3obobobo$9b2o3b2o$4bo3bo7bo3bo$bo5b2o7b2o5bo$4obob3o5b3obob4o$b3o3b2o7b2o3b3o$o2bo17bo2bo$7bo9bo$10b2ob2o$5b2o2b3ob3o2b2o$3b4ob4ob4ob4o$4b2o3b3ob3o3b2o$5bob5ob5obo$5bobob3ob3obobo$4bo5bo3bo5bo$6bo3bo3bo3bo$8bo2b3o2bo$6b2o3b3o3b2o$8bob5obo$12bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] [[ ZOOM 8 HEIGHT 560 AUTOSTART GPS 5 TRACK 0 -1/5 ]] c/5 orthogonal spaceship found by Josh Ball and reduction found by lordlouckster (click above to open LifeViewer)

x = 23, y = 10, rule = B3/S45678 7b2o5b2o$3obob3o5b3obob3o$4ob4ob3ob4ob4o$b3o2b3o5b3o2b3o$6b3o5b3o$6b2o2b3o2b2o$8bob3obo$10b3o$10b3o$10b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] [[ ZOOM 18 AUTOSTART GPS 6 TRACK 0 -1/6 ]] c/6 orthogonal spaceship found by lordlouckster (click above to open LifeViewer) Catagolue: here

Wickstretcher

x = 42, y = 23, rule = B3/S45678 22boo15bo$4bo10bobo3b4o4booboboboob3o$3b3o8b6ob3o4b3obbobo3boo$bb3obo 6b6obobbo4boobo6bo$3o5bo4b6o6bobobbo$oo4bo3bobobobo8bo$bbo7bo3bo8bo$bo b3o4bo14b3o$3b3obbo3bo11b4o$bb4o3bobo13b4o$4boo3boo$8b5o$4boo3boo$bb4o 3bobo13b4o$3b3obbo3bo11b4o$bob3o4bo14b3o$bbo7bo3bo8bo$oo4bo3bobobobo8b o$3o5bo4b6o6bobobbo$bb3obo6b6obobbo4boobo6bo$3b3o8b6ob3o4b3obbobo3boo$ 4bo10bobo3b4o4booboboboob3o$22boo15bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] [[ ZOOM 8 ]]

c/5 orthogonal wickstretcher (click above to open LifeViewer) RLE: here Plaintext: here

See also

• Life without death

External links

• MCell built-in Life rules: Coral at Mirek Wójtowicz's Cellebration page
• Coral at Adam P. Goucher's Catagolue
• Coral (B3/S45678) (discussion thread) at the ConwayLife.com forums