OCA:B01245/S01245

B01245/S01245
x=64, y = 64, rule = B01245/S01245 ! #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	01245/01245 B01245/S01245
Rule integer	28215
Character	Stable
Black/white reversal	B0125/S0125

B01245/S01245 is a Life-like cellular automaton, which make spearheaders from chaotically oscillating boundaries.

Partterns

Spearheaders

“ In B01245/S01245, I found a class of stable and unstable spaceships that I call spearheaders. Most spearheaders are c/2 orthogonal—but there is a very interesting exception.Here are three examples:

x = 52, y = 9, rule = B01245/S01245 b3o20b3o21b3o$obobo18bobobo19bobobo$5o17bob3obo18b5o$5o17b7o18b5o$b2o bo17b7o20bo$2bo19b7o20bo$22b7o19b3o$22b7o19bobo$24b5o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 800 HEIGHT 400 ]]

(click above to open LifeViewer)

The spearheders on the left and right are stable, but the middle one is not. Playing the LifeViewer to when the spaceships going direction up go off the screen reveals that the spearheader family includes a replicator. Many spearheaders are methuselahs. For example, the middle spearheader in the above LifeViewer takes 24,987 generations to stabilize—if the word stabilize is even applicable given that it spawned a replicator beforehand. The spearheader that lasts the longest that I know of lasts for 40,126 generations before dying.

x = 7, y = 6, rule = B01245/S01245 2b3o$bobobo$ob3obo$7o$7o$6o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 800 HEIGHT 400 ]]

(click above to open LifeViewer)

” — MathAndCode

x = 23, y = 48, rule = B01245/S01245 3$10b3o$9bobobo$8bob3obo$8b7o$8b6o$9b4o$8b5obo$7b7o$10bo3bo$9b4ob2o$13bo$8bobo2bo$8b6o$9b4o$9bo2bo8$8b4o$7b5o$4b9o$6b5o$4b7o$6b3ob2o$4b2o2b5o$6b3o8$11bo$10b2o$10bo$11bo$11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 1100 HEIGHT 400 ]]

Another "long period stable spearheder" or spaceship (click above to open LifeViewer)

x = 19, y = 13, rule = B01245/S01245 7bo$7b3o2b2o$5bob4o$2b9ob5o$obob7o3b2obo$17obo$19o$17obo$obob7o3b2obo $2b9ob5o$5bob4o$7b3o2b2o$7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 1100 HEIGHT 400 ]]

A "replicator rake" (click above to open LifeViewer)

Oscillators

x = 99, y = 63, rule = B01245/S01245 4bo65bobobo11b2o$85bo2bo$4bo65bo14bo2bo$86b2o$4bo4b2o59bobobo9b6o$9b2o 70b2ob6ob2o$4bo65bo3bo5bo2b8o2bo$80bo2b8o2bo$4bo65bobobo6b2ob6ob2o$84b 6o$86b2o$obobo80bo2bo$25b4o56bo2bo$4bo81b2o$23bobo2bobo$obobo4bo5b3o5b o6bo$9b2o4b3o5bo6bo$o9bo4b3o5bobo2bobo$84b5o$obobo20b4o38bo2bobobo8bo b3obo$82b9o$67bo2bo3bo6bob7obo$81b11o$67bo2bo3bo6b11o$32bo5bo42b11o$o 3bo27b2obob2o28bo2bo3bo6bob7obo$30b11o41b9o$o3bo26b9o27bo2bobobo8bob3o bo$11b2o6b6o7b7o45b5o$obobo6b4o4b6o6b9o$10b5o4b6o7b7o$4bo5b4o5b6o6b9o $12b2o16b11o$4bo27b2obob2o50b3o$32bo5bo$86b9o$86bobo3bobo$67bo2bobobo 9b13o$48b2ob2o31bob9obo$11b2o15b6o13bob3obo13bo6bo9b13o$8b3o2b3o10b2o b4ob2o12b5o29bobob9obobo$9b6o10b12o9b9o12bo2bobobo7bobob9obobo$6bob8o bo7b12o7bob9obo25bobob9obobo$6b12o6bob10obo5bob11obo9bo2bo13b13o$6b12o 6b14o5b15o26bob9obo$5bob4o2b4obo5b6o2b6o6b13o10bo2bobobo9b13o$5bob4o2b 4obo5b6o2b6o5b15o28bobo3bobo$6b12o6b14o5bob11obo28b9o$6b12o6bob10obo6b ob9obo$6bob8obo7b12o9b9o34b3o$9b6o10b12o11b5o$8b3o2b3o10b2ob4ob2o11bo b3obo$11b2o15b6o14b2ob2o2$67bo2bobobo2$67bo2bo12bo$82b3o$67bo2bobobo8b 3o$84bo$67bo2bo3bo2$67bo2bobobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 6 LOOP 48 THUMBSIZE 2 WIDTH 1000 HEIGHT 600 ]]

Oscillators collection (click above to open LifeViewer)

x = 120, y = 120, rule = B01245/S01245 50bob4o$42bo5b3ob3obo$35b6obo5b11o$34bob3obob4obob8o$33bob10o2b14o$33b 12ob2ob11o$33bob10o2b14o$34bob3obob4obob8o$35b6obo5b11o$42bo5b3ob3obo $50bob4o23$4b3o$3bobobo$2bob3obo$2b7o$2b7o$2b7o$2bob3obo$2b7o$4b3o$b9o $3b5o$3b5o$3bo3bo$5bo$3b5o$b2obobob2o$b9o$11o$2b7o$11o$11o$11o$ob7obo $b9o$2bob3obo$2bob3obo$4b3o106bobo$4bobo106b3o$111bob3obo$111bob3obo$ 110b9o$109bob7obo$109b11o$109b11o$109b11o$111b7o$109b11o$110b9o$110b2o bobob2o$112b5o$114bo$112bo3bo$112b5o$112b5o$110b9o$113b3o$111b7o$111b ob3obo$111b7o$111b7o$111b7o$111bob3obo$112bobobo$113b3o23$64b4obo$63b ob3ob3o5bo$61b11o5bob6o$63b8obob4obob3obo$59b14o2b10obo$60b11ob2ob12o $59b14o2b10obo$63b8obob4obob3obo$61b11o5bob6o$63bob3ob3o5bo$64b4obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 WIDTH 1000 HEIGHT 600 ]]

P712 oscillator (click above to open LifeViewer)

Guns

x = 493, y = 87, rule = B01245/S01245 307b5o$135b5o131b5o30bob3obo80b2o8b2o$134bob3obo45b2o35b2o45bob3obo28b 9o$57b3o73b9o127b9o26bob7obo75b8o2b8o$56bobobo71bob7obo40b8o29b8o40bo b7obo25b11o74bob2o2b2ob2ob2o2b2obo$11bo17b2o18b2o5b5o5b2o18b2o17bo26b 11o5b3o31bob2o2b2obo27bob2o2b2obo31b3o5b11o25b11o74b20o$11bo40bo4b3o4b o40bo26b11o6b2o31b10o27b10o31b2o6b11o25b11o74bob2o2b2ob2ob2o2b2obo$9b o16b8o12b7o3bobobo3b7o12b8o16bo24b11o5b3o31bob2o2b2obo27bob2o2b2obo31b 3o5b11o25bob7obo75b8o2b8o$16bo8bob2o2b2obo10bob2o2bobo2bobobo2bobo2b2o bo10bob2o2b2obo8bo31bob7obo40b8o29b8o40bob7obo26b9o$7bobo4b4o7b10o10b 9o2b5o2b9o10b10o7b4o4bobo23b9o127b9o28bob3obo80b2o8b2o$8b2o5bo9bob2o2b 2obo10bob2o2bobo2b5o2bobo2b2obo10bob2o2b2obo9bo5b2o25bob3obo45b2o16b3o 16b2o45bob3obo30b5o$7b3o5bo10b8o12b8o2bobobo2b8o12b8o10bo5b3o25b5o63b obobo63b5o$57b3o143b5o$29b2o18b2o6b3o6b2o18b2o115b5o140bob3obo129bob3o bo$56bobobo140bobobobobo139bo3bo131bo3bo$56b5o140bobobobobo136bob7obo 40bo6bo29bo6bo40bob7obo$56b5o142b5o139b9o39b3o6b3o25b3o6b3o39b9o$54bo bobobobo140b5o138bob7obo37bob2o6b2obo23bob2o6b2obo37bob7obo$54bobobob obo140bobobo138bob7obo37b5o4b5o23b5o4b5o37bob7obo$56b5o143b3o139bob7o bo37bob2o6b2obo23bob2o6b2obo37bob7obo$56b5o143b3o140b9o39b3o6b3o11b3o 11b3o6b3o39b9o$56bobobo142bobobo138bob7obo40bo6bo12bobobo12bo6bo40bob 7obo$57b3o143b5o141bo3bo63b5o63bo3bo$57b3o143b5o140bob3obo61b7o61bob3o bo$56bobobo140bobobobobo209bo$3b3o50b5o50b3o87bobobobobo$2bobobo49b5o 49bobobo88b5o$2b5o47bobobobobo47b5o88b5o$2b5o47bobobobobo47b5o88bobob o$obobobobo47b5o47bobobobobo87b3o210b5o$obobobobo47b5o47bobobobobo299b 7o$2b5o49bobobo49b5o301b7o$2b5o50b3o50b5o301b7o$2bobobo50b3o50bobobo301b 7o$3b3o50bobobo50b3o303b5o$3b3o50b5o50b3o$2bobobo49b5o49bobobo$2b5o47b obobobobo47b5o$2b5o47bobobobobo47b5o$obobobobo47b5o47bobobobobo302bo$ obobobobo47b5o47bobobobobo299b7o$2b5o49bobobo49b5o302b5o$2b5o50b3o50b 5o302bobobo$2bobobo103bobobo303b3o$3b3o105b3o$3b3o105b3o$2bobobo103bo bobo$2b5o103b5o$2b5o103b5o$obobobobo99bobobobobo$obobobobo99bobobobob o$2b5o103b5o$2b5o103b5o$2bobobo103bobobo$3b3o6b2o18b2o14bo19bo14b2o18b 2o6b3o$3b3o40b2obo17bob2o40b3o$2bobobo2b8o12b8o9bobob2o13b2obobo9b8o12b 8o2bobobo$2b5o2bobo2b2obo10bob2o2b2obo8b3obo15bob3o8bob2o2b2obo10bob2o 2bobo2b5o$2b5o2b9o10b10o8b5obo11bob5o8b10o10b9o2b5o$obobobo2bobo2b2ob o10bob2o2b2obo7b7o13b7o7bob2o2b2obo10bob2o2bobo2bobobobo$obobobo3b7o12b 8o11bob3o11b3obo11b8o12b7o3bobobobo$2b4o4bo37bob2ob2o7b2ob2obo37bo4b4o $2b5o5b2o18b2o17b3o9b3o17b2o18b2o5b5o$2bobobo43bobo11bobo43bobobo$3b3o 46b2o9b2o46b3o89b5o$202bob3obo$201b9o$200bob7obo$200b11o$200b11o$200b 11o$200bob7obo$201b9o$202bob3obo$203b5o2$416bob3obo$417bo3bo$414bob7o bo$415b9o$414bob7obo$414bob7obo$414bob7obo$415b9o$414bob7obo$417bo3bo $416bob3obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART LOOP 480 THUMBSIZE 2 WIDTH 2000 HEIGHT 600 ]]

P80 guns (left,middle) and P240 gun (right) (click above to open LifeViewer)

x = 188, y = 161, rule = B01245/S01245 35b2o$35bob2o$28bo5bob4o9b2o6b3o$27b4obob7o11bo4b2o$15b6o7bob12o8b3o5b o5b2o4b2o3b6o$14bob3o2b3ob6obob8o9bo22bob4obo$14b9ob2ob3ob11o8bobob3o 3b2o2b2o4b2o2b8o$14bob2ob3obob18o8bob2o4bo14bob4obo$15b5o3b2o3bob11o 10bo2bobob4o2b2o4b2o3b6o$20bo8bob14o11bob2o$18bo10b3ob8o15bo$31b2ob8o$ 34b9o$33bob7o$33bob2o2b3o$35bobo2b2o$37bobo$40bo3$39b4o51b3o$38bobobo 50bobobo$38b5o50b5o$38bobobo50b5o$39b3o51b5o$93b5o$93bobobo$40bo53b3o 2$38bobobo$37b2o3b2o49bobobo$39b3o51bobobo$39b3o$37b2o3b2o$38bobobo2$ 40bo52bobobo$40bo52bobobo2$38bobobo$37b2o3b2o49bobo$39b3o51bobo$39b3o 50b3o4bo$37b2o3b2o48b2o3b3o$38bobobo55b2o$91b3obo$40bo54bo$93b3o$94bo$ 39b3o53bob2o$38bobobo50b2ob2o$38b5o52bobobo$38b5o56bo$38bobobo$39b3o3$ 92bo$58bo2bo6bo2bo20bo$48b4o5b2o2b2o4b2o2b2o5b4o7bo2bobo$47bob2obo6b2o 8b2o6bobobo4b5obob4o$47b6o2bobob2obob2obob2obobo2b5o2bob13o$47bob2obo 6b2o8b2o6bobobo3bob13o$48b4o5b2o2b2o4b2o2b2o5b3o7b13o$58bo2bo6bo2bo13b 2ob13o$87b13obo$86b13ob2o$89b11o$87b2o2b5obo$90bob7o$90b6obo$91bob2ob 3o$91b2ob3obo$93b7o$94b3obo$94bobo$94b3o$93bobo$93b2obo$95b2o$94b3o$ 92bob2obo$93b3obo$91bobob3o$93b5o$93b5o24bob2o$62b2obo27bobobo24bobo2b o$60bo2bobo28b3o24b5o$62b5o54b6obo13b4o$42b4o13bob6o47b4o2bob5obo5b2o 2b2o2b4o2b2o2b2o$34b2o2b2o2b4o2b2o2b2o5bob5obo2b4o39bob2o2b2ob7o4bob2o 4b6o4b2obo$33bob2o4b6o4b2obo4b7ob2o2b2obo38b16o4b22o$33b22o4b16o38bob 13o5bob2o4b6o4b2obo$33bob2o4b6o4b2obo5b13obo39b13o7b2o2b2o2b4o2b2o2b2o $34b2o2b2o2b4o2b2o2b2o7b13o43b2o2b8o13b4o$42b4o13b8o2b2o46bo2b7obo$59b ob7o2bo50b7o$60b7o54b2ob2obo$60bob2ob2o55b3obo$61bob3o56b2ob2o$61b2ob 2o57b2o$63b2o6$125b3o$60b3o61bobobo$59bobobo60b5o$59b5o60b5o$59b5o58bo bobobobo$57bobobobobo56bobobobobo$57bobobobobo58b5o$59b5o60b5o$59b5o 60bobobo$59bobobo61b3o$60b3o62b3o$60b3o61bobobo51b3o$5b3o51bobobo60b5o 50bobobo$4bobobo50b5o60b5o50b5o$4b5o50b5o58bobobobobo49b3o$5b3o49bobob obobo56bobobobobo50bo$6bo50bobobobobo58b5o50bobobo$4bobobo50b5o60b5o 50bobobo$4bobobo50b5o60bobobo52bo$6bo52bobobo61b3o52b3o$5b3o52b3o115b 7o$3b7o168b7o$3b7o168b7o$3b7o168b7o$3b7o170b3o$5b3o173bo$6bo172bobobo$ 4bobobo170bobobo$4bobobo172bo$6bo173b3o$5b3o171b5o$4b5o170bobobo$4bobo bo171b3o$5b3o2$150b2o8b2o$26b2o8b2o$147b8o2b8o12b2o2b4o$3b4o2b2o12b8o 2b8o105bob2o2b2ob2ob2o2b2obo9b2obob3o3bo$bo3b3obob2o9bob2o2b2ob2ob2o2b 2obo104b20o7b2ob9o$3b9ob2o7b20o104bob2o2b2ob2ob2o2b2obo7bob11obo$ob11o bo7bob2o2b2ob2ob2o2b2obo105b8o2b8o7bob14o$14obo7b8o2b8o131b3ob10o$2b 10ob3o134b2o8b2o11b15o$15o11b2o8b2o137b7o2b2o$2b2o2b7o164bob5o$4b5obo 168b4o$5b4o169b4o$6b4o167b5obo$4bob5o168b5o$4b5o170b5o$4b5o170bobobo$ 4bobobo171b3o$5b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART LOOP 476 THUMBSIZE 2 WIDTH 800 HEIGHT 600 ]]

P240 gun for another spaceship (click above to open LifeViewer)

Other patterns

x = 6, y = 5, rule = B01245/S01245 b4o$ob2obo$6o$ob2obo$b4o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 6 LOOP 100 THUMBSIZE 2 WIDTH 1800 HEIGHT 400 ]]

A replicator (click above to open LifeViewer)

External links

• Spearheaders in B01245/S01245 (discussion thread) at the ConwayLife.com forums
• B01245/S01245 at Adam P. Goucher's Catagolue
• List of strobing rules