OCA:HighFlock

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HighFlock
x=0, y = 0, rule = B36/S12 ! #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 12/36
B36/S12
Rule integer 3144
Character Chaotic
Black/white reversal B0123458/S0134678
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HighFlock is a Life-like cellular automaton with rulestring B36/S12, one outer-totalistic transition away from Flock. In this rule, cells survive from one generation to the next if they have 1 or 2 neighbours, and are born if they have 3 or 6 neighbours.

Patterns

Spaceships

There are known spaceships of speeds[1] c/3, c/4, c/5 (and a natural 3c/15 thereof), 2c/5 (and glide-symmetric 4c/10), c/4d, c/6d and a 2c/8d in common with Flock.

x = 150, y = 44, rule = B36/S12 b6o3b6o3b6o7bo3b2o10b3o3b3o5b2o15bobo6bobo18b3o28bobo$o6bobo6bobo6bo5b3obo2bo7b2obo5bob2o5bo2bo10b2ob2o4bo2b2o16b5ob2o24b2obo$3b2o7b2o7b2o6bobo3bo2bobo7bo2bobo2bo5b4ob2ob2o5bo2bo2bo6b3o13bo3bo5b3o21bo$2bo2bo5bo2bo5bo2bo4bo3b3obo4bo4b2o2b2ob2o2b2o5b2o4bo6bo2bo2bo6b3o15b2o4bo4bo23bo$bo4bo3bo4bo3bo4bo4bo3b3o4bo8bo2bo2bo8b3o4bo5bob3obo5b4o14bo3b2o23b2o6bo$36bobo8bo9bo7b3o9bo5bo6bo2b3o8bo3bob3o3b2o2bo15bo2bo$bo4bo3bo4bo3bo4bo40b2ob2o23b4o6bo4b4o8bo12bo4bo6bo2bo$34b2o11bo2bo3bo2bo8bobo2bobo18b6o5bob3o9bo14b2o5b4ob2o3bo$5b7o9b2o26bobobobo9b3o3bo2bo18bo17b3o3bo2bo11bobo10bo3bo$4b3o3b3o7b4o21bobo9bobo37bo5bo6bo6b4o11b3o$7bobo9b2o2b2o9b3o11bo7bo16bo22bo5bo10bo3b2obo12bob2o6bo3bo$3b4obob4o19b2ob2o7bo4b2ob2o4bo14bo27bo3b4o6bo20b2o4b2o$4bo2bobo2bo10b2o10bob2o11b2ob2o13b3o3bo28bo7b3o2bo2b2o15b2o4bobo$5b2o3b2o8bob2o9b2o3b2o7bo2bo3bo2bo10bo4bo28b2obobo3b3o4bobo14bo3bo3b2o$20bo2bo11b2o2bobo7bo5bo12bo3bo26b2o2bo3b2o2bo3bo3bo12bo4b2o$21b3o11bo6bo25bo29bo5b2obob2o5b2o5b3o2bo2b2obo6b2o$22b2o14bo2bo27bo27bobo7b2o6bo6bo4bob2obob2o4bo$34bobo29b2ob2o30bobo2bob4o2b2o6bo5bobob2o$33bo33b2o29bo6bo2bo17bobobobo$34bo29bo46bo19b2o2bo$63b3obo28b2o7b2o21bo3bo$65bobo28b3o7bo14b2o2bo2b3o3bo$65bo31b3o3bo2bo13bo6bo2b3o$65bo34bo19bo11b2o$61bo2bo30b3o3bob2o17bobobo$62b2o27bob2o28bo2bo6bo$123b2o6b2o$62b5o57b2obo3b2o$63b3o25bob4o27b2obo$63b2o$62bo$63bo$65b2o$67bo$65bob3o$66bobo2bo$68bo2bo$68bo$67b2ob2o$67b5o$66b3o$69bo2$66bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 WIDTH 1820 HEIGHT 560 ]]
Spaceships of known speeds
(click above to open LifeViewer)

In outer-totalistic rules of the form B3(45678)/S12(678), where outer-totalistic transitions given in parentheses are optional, c/2 orthogonal spaceships may not exist.[citation needed]

In those of the form B3(4678)/S123(678), spaceships of speed c/3d may not either.[citation needed]

Linear growth

Orthogonal

Unstabilised, the 2c/5 engine is a puffer of stable dominoes. There are two known 2c/5 domino-trail eaters, that may stabilise it into an extensible spaceship.

x = 35, y = 33, rule = B36/S12 4b6o4b6o5b6o$3bo6bo2bo6bo3bo6bo$6b2o8b2o9b2o$5bo2bo6bo2bo7bo2bo$4bo4bo4bo4bo5bo4bo2$4bo4bo4bo4bo5bo4bo$25bo4bo$6b2o8b2o4bob8obo$21b2o4b2o4b2o$6b2o8b2o3bo12bo$22b2o8b2o$6b2o8b2o$5bo9bo$5b3o7b3o$2bobo2bo4bobo2bo$b2o2bo5b2o2bo$obo2bo4bobo2bo$bobob2o4bobob2o$3bobobo5bobobo$o2bo3bo2bo2bo3bo$4bo9bo$3b2o8b2o$3b2o8bobo$4bo8bobo$3b2o8bobo$16bo$12bo3b2o$12b2obo$16bo2$17bo$16b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 16 WIDTH 560 HEIGHT 560 AUTOSTART GPS 5 TRACK 0 -2/5 ]]
The two trail eaters, together with a tagalong that makes the engine produce two trails
(click above to open LifeViewer)

Diagonal

The true-period (1,1)c/4 may act as a wickstretcher, as well as supporting various tagalongs.

x = 32, y = 31, rule = B36/S12 10bo$6b2obob3o$4bo10bo$3b2o7bob2o$2b3ob3o4bob2o$2b2o2b2ob5obo$2bo12b2o bo$2b2o10bo2b2o$3bobo3b2obo$b2o4bobo$4bo4b2o6b3o$o3bo5bo2b2obobo$3b2o 3bo2b2o2bobo$b2obo3bo2b2obobo2bo$3b4obo2b2obo4bo2bo$7b3o2bobo3bob2obo$ 7b2o6b3ob3o$6bob2o3bo2b2o6b2o$7b2ob3o11b2o$11b2o2bo8bo$25bo$15b2o7bo$ 15bobo4bobo$17b2o2bo$17bo2bo4bo$23bob2o2bo$25b2ob3o$25b2ob3o$26bo2bo$ 30bo$31bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 16 WIDTH 560 HEIGHT 560 AUTOSTART GPS 4 TRACK -1/4 -1/4 ]]
The c/4d wickstretcher.
(click above to open LifeViewer)
Catagoluehere


See also

References

External links