OCA:HighFlock

HighFlock
x=64, y = 64, 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

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 c/3, c/4, c/5 (and a natural 3c/15 thereof), 2c/5 (and glide-symmetric 4c/10), c/6, c/4d, c/6d and a 2c/8d in common with Flock.

Spaceships are included in this table for low population or low width, with at least one known example for each speed-period combination.

x = 259, y = 64, rule = B36/S12 4b6o3b6o3b6o5b6o7b6o6b3ob4o9b3o3b3o5b3ob2o12b3o7b3o7b3o8b3o5bob5obo4b4o7b4o8b3o4b3o7b4o15b3o28b4o$3bo6bobo6bobo6bo3bo6bo5bo6bo3bo7bo2bo5b2obo5bob2o5b2o4bo6b5o9b5ob5o10b5o2bobo3bobo4b2obo7bob2o7bo2bo4bo2bo5bo4bo13b5ob2o23bobo$6b2o7b2o7b2o9b2o11b2o5bo3b3o6bo6bo2bobo2bo5bo8bo8bo11bo7bo12bo6bo5bo3bo3b2ob5ob2o3bo7b8o9bo14bo3bo5b3o21bo$5bo2bo5bo2bo5bo2bo7bo2bo9bo2bo11bobo8b2o2b2ob2o2b2o7bobo2bo7b2obob2ob2obob2o5b2obob2o2b2obob2o15bo3b3o5b3o3bo3bo2bo2bo2bo2bo2bo9bo12b2o4bo4bo21b3o$4bo4bo3bo4bo3bo4bo5bo4bo7bo4bo3bobo8bobo7bo2bo2bo11bo12bobo7bobo7bobo8bobo19bo2bo5bo2bo5b2o2bo8bo2b2o9bo10bo3b2o23bobo5bo$61bo2bo9bo9bo9bo13bobo5bobo9bobo6bobo19bo4bo3bo4bo4bo5bo4bo5bo4bo6bo5bo3bob3o3b2o2bo15bo2bo4b2o$4bo4bo3bo4bo3bo4bo5bo4bo7bo4bo42bo3b2o11bobobo15bob2obo25b9o8b2o12b2o13bo3bo4b4o8bo11b2o3bo4bob2ob3o$33bo4bo22b2o11bo2bo3bo2bo8b2obo15b3o17b4o26bo7bo9b2o10b2o14bo3bob3o9bo14b3o8bo2b2o$6b2o9b7o6bob8obo6b2o11b2o13bobobobo9b2o7bo60bo7bo9bo12bo9bo2bobo11b3o3bo2bo18bo2bob2o2b2o$5bo10b3o3b3o4b2o4b2o4b2o4b4o21bobo9bobo6bo5b2o10bo3bo15bo4bo25bo2bobo2bo8b2o12b2o13bo3bo6bo6b4o15bo6bobo$5b3o11bobo7bo12bo3b2o2b2o8bo2b2o10bo7bo16b2o7bobo3bobo11bobo4bobo26bobo10bo2bo10bo2bo11bo3bo10bo3b2obo14bobo5b2o$2bobo2bo7b4obob4o4b2o8b2o18b2o3bo6bo4b2ob2o4bo9bo2bo6bob2o7b2obo5bob2o8b2obo69bo3b4o6bo18bob2o$b2o2bo10bo2bobo2bo25b2o9bo4bo10b2ob2o13b3obo5bo2b2o7b2o2bo3bo2b2o8b2o2bo22b3o11bo3bo6bo3bo17bo7b3o2bo2b2o21bob2o$obo2bo11b2o3b2o8bo6bo7bob2o14bo2bo5bo2bo3bo2bo14bobo2b3obo9bob3ob3obo10bob3o17b3o5b3o8bo2bo6bo2bo17b2obobo3b3o4bobo11bo5b2o$bobob2o24b3o4b3o6bo2bo11b4o3bo6bo5bo16bo4bo3bo9bo3bobo3bo10bo3bo16bo11bo8bo10bo15b2o2bo3b2o2bo3bo3bo3bobo3b5ob4o2bo$3bobobo22b3o2b2o2b3o6b3o13bo32bo7bo2b4o3b4o2bo3bo2b4o4b4o2bo16bo4bobobo4bo6b2o10b2o13bo5b2obob2o5b2o10b2o5b2o3bo2bo$o2bo3bo20bo2bo8bo2bo5b2o10bobo3bobo24b2obo10bo9bo9bo10bo21bo9bo7bobo10bobo11bobo7b2o6bo6bo2bobo3b3o6bobo$4bo22bo5bo4bo5bo15bo32b2ob2o10bo2bo3bo2bo9bo2bo4bo2bo21bobo5bobo6bo3bo8bo3bo14bobo2bob4o2b2o6b2o3bobo4bo$3b2o28b6o56b2o11b2o7b2o9b2o8b2o21bo9bo7bo14bo12bo6bo2bo18bo3b2o$3b2o21bo18bo14bobo27b3o15b2o7b2o9b3o6b3o44bo4bo30bo21bo$4bo21b2o3bo8bo3b2o44b2o16bo9bo9bo10bo44bo4bo15b2o7b2o20bob3o2bo$3b2o25bo3bo2bo3bo49bob2o33bo10bo39bobo10bobo10b3o7bo14b2o6bobo$93bo13b2o3b3o3b2o6bobo2bo4bo2bobo37bo2b2obo2bob2o2bo11b3o3bo2bo15bo4b2o3b2o$30bobo6bobo47bo17b2o2b5o2b2o7b2obo6bob2o43bo4bo19bo19bob6o4b2o$88bo3bo14b2o2bobobo2b2o6bo5bo2bo5bo42b2o2b2o14b3o3bob2o19bobo7bo$31bobo4bobo47bo19bo2bo3bo2bo13bo2bo47b2o4b2o9bob2o27bobo2bo6bo$31bo2bo2bo2bo48b2obo16bo2bobo2bo14bo2bo48bo4bo45b2o4b2o$31bo2bo2bo2bo51b2o12bo2bo3bo3bo2bo11bo2bo47bo2b2o2bo44b2o$30b2o2b4o2b2o50b2o12bo6bo6bo8bobo4bobo44bo6bo9bob4o30bo$29bo12bo46b2obo16b2o2bo2b2o10bo10bo$30b2o8b2o47bobo12b2o3b9o3b2o4b2o2b2o2b2o2b2o43b6o$31b2o6b2o49b3o12bo3b2o5b2o3bo6bo2b2o2b2o2bo46b2o$31b3o4b3o50b3o14bo9bo5bob5o6b5obo40bo4bo$30bo10bo49bo16bo9bo8bo2b2o4b2o2bo$29bo12bo49b2o2b2o8bobo9bobo3bob2o12b2obo41bo2bo$28bobo10bobo49bobo2bo9bo9bo11b2o4b2o43b2o3b2o3b2o$28b3ob2o4b2ob3o51bobobo80bo3bo4bo3bo$27bobo2b2o4b2o2bobo50bo2bo29bob2o4b2obo39b2o3b2o2b2o3b2o$96b2o32b2ob2ob2o42bo12bo$31b3o4b3o140b2o8b2o$31bo8bo52b3o$30bo10bo52b3o35b4o46b2o6b2o$31bo2bo2bo2bo54bo34bo6bo43bobo6bobo$33b2o2b2o89b2o8b2o40b3o8b3o$33b6o91bo6bo43b3o6b3o$30bo2b2o2b2o2bo91b2o$29b2o10b2o82bo4bob4obo4bo$29bo12bo81b2o4bobo2bobo4b2o$35b2o87bo2bo12bo2bo$28b2o2b3o2b3o2b2o83bo5b2o5bo$28b2o4bo2bo4b2o83bo3b6o3bo$34bo2bo90bo10bo$131bo4bo$32b2o4b2o87b4o6b4o$126b4o8b4o$31bo8bo86bo4b4o4bo$30bo10bo89b6o$125bobo4b4o4bobo$125b3o12b3o2$124b5o10b5o$131b6o2$132bo2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 8 WIDTH 2104 HEIGHT 544 ]]

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 do 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) Catagolue: here

See also

• Flock (B3/S12)
• 2x2 (B36/S125)

External links

• HighFlock at Adam P. Goucher's Catagolue