OCA:Coagulations

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Coagulations
x=64, y = 64, rule = B378/S235678 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 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 235678/378
B378/S235678
Rule integer 252296
Character Explosive
Black/white reversal B478/S234678

Coagulations is a Life-like cellular automaton. Its rulestring is B378/S235678, which means that a cell is born when it has 3, 7 or 8 alive neighbours, and an alive cell survives when it has 2, 3, 5, 6, 7 or 8 alive neighbours.

Randomly generated patterns as small as the R-pentomino evolve into infinitely expanding chaos, which slowly settles down in its central part, resembling the process of blood coagulation.

x = 3, y = 3, rule = B378/S235678 b2o$2o$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
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Chaos expands at speed slightly slower than c/4, which allows some gliders to be emitted by the growing bubble.

Interestingly, Coagulations has one less birth condition than Stains, which is not an explosive rule.

Notable patterns

Still lives

All patterns that are stable in Life are also stable in Coagulations, because no still life from B3/S23 can trigger the B7 or B8 birth condition. Additionally, due to more survival conditions, many patterns unstable in Life also are still lives in Coagulations:

x = 48, y = 16, rule = B378/S235678 39b2o$39b2o$20bo2bo13bob2obo$18b8o10bob4obo$18b8o9bob6obo$2bo6bobo5b 10o7bob8obo$5o2b7o4b8o9b10o$5o2b7o3b10o5b16o$2bo6bobo6b8o6b16o$17b10o 8b10o$18b8o8bob8obo$18b8o9bob6obo$20bo2bo12bob4obo$37bob2obo$39b2o$39b 2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
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Oscillators

Many oscillators from Life also work in Coagulations. Out of the ten most common Life oscillators, seven work in Coagulations: blinker, toad, beacon, clock, bipole, quadpole and great on-off.

Three alien oscillators commonly occur in sparse soups: a p2 usually accompanied by two blinkers (from Z and I tetrominoes), a p3 (from V, W, and X pentominoes) and a p5 (from a T tetromino).

x = 63, y = 15, rule = B378/S235678 21bobo9bobo$22b2o2bobobo2b2o$21b15o$23b11o19bobobo$23b11o18bob3obo$2bo 3bo15b13o16bob5obo$bobobobo15b11o18b7o$obo3bobo13b13o13b2ob9ob2o$obo3b obo14b11o18b7o$bobobobo14b13o16bob5obo$2bo3bo16b11o18bob3obo$23b11o19b obobo$21b15o$22b2o2bobobo2b2o$21bobo9bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
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Spaceships

Glider works normally in Coagulations, but the other three standard spaceships don't. A number of other spaceships was discovered by cvojan and AforAmpere. Known speeds include: diagonal c/3 and c/4, orthogonal c/2, 2c/5, c/3, c/4, c/5, c/6, c/7, and c/8.

x = 123, y = 90, rule = B378/S235678 79bo2bo$77bo2b2o2bo$77b2ob2ob2o$77b2ob2ob2o$80b2o$78bob2obo$78b6o$75b 2ob6ob2o$76b3ob2ob3o$76b3ob2ob3o$76bo3b2o3bo$75b2o3b2o3b2o$75b2obob2ob ob2o$76b2ob4ob2o$77b2ob2ob2o$77bob4obo$75b3o6b3o$75bo2b2o2b2o2bo$75b2o 2bo2bo2b2o$79b4o$77b2o4b2o$79b4o$76bo3b2o3bo$76bobob2obobo$76b2ob4ob2o $77b8o$77b8o$78b6o$77b8o$77bobo2bobo28bo2b2o2bo$76b3ob2ob3o28b6o$76b2o 6b2o$78bo4bo30b6o$76b3o4b3o29bo2bo$76b2ob4ob2o28b2o2b2o$78bob2obo31bo 2bo$79b4o28b2o3b2o3b2o$76b2ob4ob2o11bob2obo10bob4obo$74b3ob2o2b2ob3o9b 6o8b3ob4ob3o$36b2ob2o33b2ob3o2b3ob2o10b4o12bob2obo$36bo3bo54b2ob4ob2o 7bobob2obobo$35b3ob3o34b2ob4ob2o12b4o11bo2b2o2bo$76b10o12b4o13b4o$35b 2o3b2o32bobo2b4o2bobo8bob4obo10b6o$35b2o3b2o33bobob4obobo7b2o2b4o2b2o 7bob4obo$37bobo37bob4obo9b2o2b4o2b2o7bo6bo$75bobob4obobo7bo2b6o2bo8b2o 2b2o$35bob3obo32bo2bob4obo2bo9b6o10bo2b2o2bo$34b2ob3ob2o32bo3b4o3bo9b 2ob2ob2o10b2o2b2o$37b3o36b4o2b4o11b2o2b2o10bo2b2o2bo$36b5o35b4o2b4o11b 2o2b2o9b2o2b2o2b2o$36b5o35b3ob2ob3o8bo2bob2obo2bo5b2o3b2o3b2o$35b7o34b 3o4b3o7bobobob2obobobo6bo2b2o2bo$9b2o2bo22b5o34b5o2b5o7b2obob2obob2o 10b2o$9bo4bo18b2ob5ob2o31b4o4b4o10bob2obo10bo2b2o2bo$4b2o2bob3o20b2ob 5ob2o32b3ob2ob3o13b2o11bob2o2b2obo$3bo5b4o23b5o17b2ob2o15bo4bo13bob2ob o9b2o6b2o$3bob8obo21b5o14bo3bobo3bo14b2o14bo2b2o2bo10bob2obo$4b8ob2o 21b5o13bob3o3b3obo11bob2obo11bo3b2o3bo11b2o$b10obo22b7o13b2obo3bob2o 11bo6bo11b2ob2ob2o10b6o$11o24bob3obo15b3ob3o13bo6bo11b2ob2ob2o11b4o$ 11o47bobobo14bo2b2o2bo14b2o13b6o$b10obo24bobo19b3o15b8o13b4o13b4o$bob 7o2bo47bo14b2o2b4o2b2o11b4o9b2o3b2o3b2o$2b7ob2o64b10o13b2o10bob2ob2ob 2obo$2b2ob4o8b2o7b2o48b4o2b4o13b2o12bob4obo$4b5o8b2o7b2o47b2o8b2o11b4o 9bobobo2bobobo$6b2o10bo7bo51b2o2b2o13b6o8b3ob4ob3o$19b2o3b2o8b2o2b2ob 2o2b2o32bo2bo29bob2o2b2obo$19bo5bo9b4o3b4o31bobo2bobo11b8o8bo8bo$18b3o 3b3o50b2ob2ob2o10b2o2b2o2b2o7bo2b4o2bo$18b3o3b3o9b2o5b2o30bob3o2b3obo 8b2ob4ob2o7bob6obo$20bobobo12bo5bo17bobo11bo2b2o2b2o2bo8bob6obo8b8o$ 37b3ob3o17b3o12bo2bo2bo2bo9bob6obo7b10o$21b3o13bobobobo18bo13bobob2obo bo10b8o9b8o$21bobo14b2ob2o16bo2bobo13b6o11b10o7b10o$19b7o13bobo15b2o2b 3o10bo4b4o4bo8b8o8bob6obo$19bobobobo13bobo15b7ob2o7bob10obo8b8o9b8o$ 22bo17bo18bob3ob2o8b12o11b4o$19b7o33bob3o13b8o13b4o$19b3ob3o12bobobo 15b2ob3o13b8o13b4o$3bobo29b3o5b3o12b2ob3o12b10o8b3ob4ob3o7bob4obo$3b2o 29b2o3b3o3b2o11b2o14bobo2b4o2bobo8bob4obo8bobo4bobo$4bo29b3ob2ob2ob3o 12bob2o12bo2b6o2bo9b8o9bo2b2o2bo$34bob2obobob2obo13bo15bob6obo11bob2ob o11bob2obo$16bo20bobobobo36b2o34b2o$12bob2o4bob3obo8bo3bobo3bo30bo2b4o 2bo11b2o2b2o11b6o$13b3o5b5o8b2o2bo3bo2b2o32bo2bo12b2ob4ob2o9b6o$12b2ob 2o3b3ob3o7b4o5b4o29b3o4b3o9b2obo2bob2o11b2o$13b3o5bo3bo9bo9bo31bo6bo 12bo4bo12bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
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Wickstretchers

Two simple wickstretchers were discovered.

x = 12, y = 6, rule = B378/S235678 obobo3bo2bo$5o3b4o$b3o3b4o$b3o4b3o$2ob2o2b2ob2o$b3o4b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
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Reversal rule

Evolution in Coagulations usually tends to fill the whole space with a high density, generating a lot of "chambers", some of which are oscillating with a variety of different periods. This behavior led to the rule's reversal, informally known as Anti-Coagulations (B478/S234678) to be studied more thoroughly than the original rule.

Because the lowest birth condition in Anti-Coagulations is B4, no pattern can escape its initial bounding box. There are no spaceships or infinitely growing objects.

After chaotic evolution ends, density of the remaining ash is about 7.2%.[1]

Still lives

Many patterns that are stable in Life are stable in Anti-Coagulations as well, but some trigger the B4 condition, either turning into other still lives, oscillators, or disappearing. Stable patterns include:

x = 38, y = 4, rule = B478/S234678 2o2b2o3bo3b2o3b2o4bo4b2o4b3o$2o2b2o2b3o2bobo2bobo2bobo2b4o2bo2bo$5bo3b o4bo4b2o2bobo2b4o2b3o$24bo4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
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Oscillators

Oscillators of 46 different periods are known, the highest being p62.

x = 419, y = 288, rule = B478/S234678 95b2o14b2o5b2o42b2o12b2o14b2o2b2o2b2o14b2o15b2o58b2o2b2o2b2o6b2o2b2o2b 2o16b3o25b2o6b2o6b2o6b2o$95b2o14b2o4bo2bo40bo2bo6bo4bo15b2o2b2o2b2o14b 2o16bo14b2o21bo4bo15b2o2b2o2b2o6b2o2b2o2b2o16b2obo24b2o6b2o6b2o6b2o$ 117b3obo4b2o12b2o4b3o6b3o3b2ob2o4b6o55b2obo13bobo9bob3o6bobo2bobo46b3o 7bobo$120bo4bob14obo2bob10obo2b2o3bo4bo58bo3bo13bobo8b2obobo5bo2b4o2bo 44bo3bo7bob3o69b6o$95b2o14b2o7bo5b2o12b2o4b3o6b3o4bobobo4bo28b2o14b2o 15bo13b2obo7bo10bo4b2o4bo20b2o14b2o5bobo2bo8b2obo21b2o6b2o6b2o6b2o12b 3o5bo6bo$95b2o14b2o4b3obo41b2obo4bo28b2o14b2o10b7o10bo4bo7bob2o8b2obo 2bob2o21b2o14b2o5b2o2b2o8bob3o20b2o6b2o6b2o6b2o11bob2o4b2ob7o$117bo2bo 44b2o4bo57bo14b2ob3o8bo2bo9b2ob2ob2o46b2o12b5o55bobobo3bobobo2bo3bo$ 118b2o49b2o57bo3bo25b2obo9b2ob2ob2o47b4o10b5o55bobo4bob2o4b2obo$95b2o 14b2o18bo7bo29bo22b2o2b2o2b2o14b2o10bob2o11bobo15bo8b2obo2bob2o13b2o2b 2o2b2o6b2o2b2o2b2o11bo10b5o17b2o2b2o2b2o6b2o2b2o2b2o8bobobo5bobo6bobo$ 95b2o14b2o17bobo5bobo4bo4b2o40b2o2b2o2b2o14b2o10bo12b3obo9bobob2o8bo4b 2o4bo12b2o2b2o2b2o6b2o2b2o2b2o12b2o9b5o16b2o2b2o2b2o6b2o2b2o2b2o7bobo 8bobo6bobo$130bob2o3b2obo3bobo2bo2bo75b2o10bo4bo9b3obo10bo2b4o2bo51bo 11b3obo47bobobo7bob2o4b2obo$117b3o4b3o3bobo5bobo3bo6bo22bo65b5o26bobo 2bobo65bobo47bobobo8bo3bo2bobobo$95b2o14b2o4bob2o2b2obo3bo9bo4bob3o11b 4o8bobo16b2o22b2o54bo4bo23b2o6b2o34bobobo21b2o14b2o4bobobo10b7ob2o$95b 2o14b2o8b2o7bobo5bobo6b3o10bo4bo7b2obo15b2o22b2o83b2o6b2o37bobo20b2o 14b2o4b2obo12bo6bo$130bob2o3b2obo6b3obo7bo6bo6bob2o170bobobo41b3o14b6o $121b2o7bo9bo4bo6bo5b3o4b3o4bo4bo170bobobo$95b2o14b2o4bob2o2b2obo4bobo bobobo4bo2bo2bobo3b2o10b2o2b5o15b2o2b2o2b2o14b2o75b2o2b2o2b2o6b2o2b2o 2b2o30bob2o18b2o14b2o$95b2o14b2o4b3o4b3o5bobobobo6b2o4bo4bo12bo22b2o2b 2o2b2o14b2o75b2o2b2o2b2o6b2o2b2o2b2o31b3o18b2o14b2o11$346bo$29b2o315b 2o$8b2o2b2o2b2o12bo4b3o57b2o6b2o2b2o2b2o38bo40b2o2b2o2b2o6b2o2b2o2b2o 75b2o2b2o2b2o6b2o2b2o2b2o26bo17b2o6b2o6b2o2b2o2b2o$8b2o2b2o2b2o10bobo 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HEIGHT 1152 ]]
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See also

References

  1. ↑ Re: Developing a more detailed classification of rule behaviors (discussion thread) at the ConwayLife.com forums
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