OCA:B026/S1

B026/S1
x=0, y = 0, rule = B026/S1 ! #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	1/026 B026/S1
Rule integer	1093
Character	Explosive
Black/white reversal	B0234568/S013457

B026/S1 is a Life-like cellular automaton, which explode and make many spaceships and puffers.

December 19th, 2020, FWKnightship constructed a Rule 110 unit cell in B026/S1, proving the rule Turing-complete.

Patterms

Oscillator

B026/S1 simulates range-2 wolfram rule 2166637080, so it has lots of large period 1D oscillator and 1D spaceships.

x = 57, y = 98, rule = B026/S1 9bobobo2$13bo2$9bobobo2$9bo$22bo6bo5bo5b3o$9bobobo13bo6b3o4b3o$35bo5b 3o11$6bo2bobobo2$6bo2bo2$6bo2bobobo2$6bo2bo3bo2$6bo2bobobo8bo2bo2bo4$ 22bo3bo3b3o10$3bobobo2bo3bo$22bo3bo3b3o3bo3bo$7bo2bo3bo2$3bobobo2bobo bo$22bo3bo3bo3bo3b3o3bo3bo3bo3bo$3bo10bo2$3bobobo6bo$22bo3bo3bo3bo3b3o 3bo3bo8$3bobobo2bobobo2$7bo6bo2$3bobobo2bobobo$23bo3bo3bo3b3o3bo3bo3b o$7bo2bo2$3bobobo2bobobo8$3bo3bo2bobobo2$3bo3bo2bo3bo2$3bobobo2bo3bo$ 23bo3bo3bo3b3o3bo3bo$7bo2bo3bo2$7bo2bobobo6$o2bobobo2bo3bo2$o2bo3bo2b o3bo2$o2bo3bo2bobobo$22bo3bo3bo3bo3bo3b3o3bo3bo$o2bo3bo6bo2$o2bobobo6b o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 THUMBZOOM 4 HEIGHT 500 ]]

Some low period oscillators. (click above to open LifeViewer)

Spaceships and puffers

Known spaceship speeds are c/3o, c/4o, c/5o, c/6o, c/7o, c/8o, c/12o, c/2d, c/4d, c/6d.

x = 436, y = 188, rule = B026/S1 117bobo$120bo14bobo$138bo$133bo$138bo$131bo$122bobo11bo$121bo9bo2$133b o$132bo8$136bobo$139bo$134bo$139bo2$127bo3bo5bo$132bo2$128bobo3bo$133b o$126bo5bo2$124bo$129bo$124bo$125bobo4$119bo$108bo$109bo$114bo$109bo$ 169bobo$172bo7$179bo$176bo3bo2$176bo4$186bo$133bo53bo$96bo37bo$97bo89b o$128bo$97bo92bobo$193bo$187bo13$84bobo$87bo2$210bo$211bo2$211bo$208b o$208bo3bobo$204bo10bo9$132bo$133bo99bo$234bo$133bo$115bo85bobo$92bo23b o87bo$93bo130bo$87bo28bo$222bo$73bobo$76bo79bo$157bo55bo15bo$179bo34b o$159bo20bo46bo115bobo$160bo53bo131bo$126bo30bo24bo158bo$127bo30bobo22b o162bo8bo$92bo122bo128bo11bo$93bo33bo84bo131bo$350bo$93bo216bobo$285b o27bo$238bo47bo23bo$190bo48bo71bobo$191bo94bo$239bo99bo$193bo120bobo$ 194bo116bo5bo$314bo40bo$227bo87bobo38bo$228bo$164bobo189bo$167bo60bo$ 67bobo$70bo$201bo$202bo3$205bo$206bo$429bobo$427bo6bo$426bob6o$35bobo 387bob3o2b2o$38bo387b6obobo$426b2o3bobo$213bo88bo121b2obobob3obo$214b o88bo127b3o$423bo5b4obo$303bo119bo6b2obo$216bo62bo142b2o5bo2bo$46bobo 168bo62bo142bo5bo$49bo371b2ob4o$280bo140b3obo$421b3o3$159bobo$162bo60b o$224bo7$229bobo$bo11bobo216bo174bo$o11bo216bo35bo142bo$230bo35bo138b o$6bo228bo170bo$236bo29bo20bo115bo$22bo11bobo251bo115bo$21bo11bo196bo 145bo$288bo88bo$27bo204bo$377bo$374bo$374bo3bobo$370bo10bo2$3bo$2bo$248b o18bo60bo$2bo246bo18bo60bo2$249bo18bo60bo5$387bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART GPS 5 THUMBSIZE 2 THUMBZOOM 4.5 HEIGHT 1000 WIDTH 2200 LOOP 150 ]]

Some c/2d and c/4d spaceships, puffers and beeders. (click above to open LifeViewer)

x = 652, y = 218, rule = B026/S1 56bob2o2$51bo3b3o96bo$55bob2o90b3o$50b2ob2ob2obo$52b3o3b2o97bo$49bob2o bo$51b2obo88bo4bo$51b2obobo89b3o7bo$45b2o4b3o3bo87b5o6bo$51bo2b4o82b2o 6bobo5bo$45b2obo3bo87bo6bob4o$45bob3o98bob2o$2bo45b2obo40bo46bo10b2o$ o42bo4b2o40bo48bo2bo7bo$40bobo101bo$bobo38b2o6bo40bobo47b3o8bo$8bo33b o3bo51bo42b3obo$7bo89bo40bo3b2o5bo$6bo33bo2b2o51bo39bo11b2o$5bo14bo74b o15bo33b2o$4bo5bo2bo6bo73bo5b2obo7bo24bo4bo$10bo42bobo73bo$13bo3b2obo 30bo6bo41bo7b2obo20bo2bo2bobo$10b2obo6bo29bob6o42bob2o7bo22b3o$17bo31b ob3o2b2o50bo23bo2bo$13bo3bob2o29b6obobo40bo2bo4bob2o$13bo36b2o3bobo42b 2obo23bobo2bobobo$48b2obobob3obo64bo$55b3o64bo2bo$47bo5b4obo68bo4bo4b o$47bo6b2obo69b2o$46b2o5bo2bo71b2o2bo$47bo5bo70bobo$45b2ob4o78bo$45b3o bo74bobo4bo$45b3o$130bo12$12bo$10bo2$10bobo5bo$17bo20b7o2bobo2b3o2bo2b o3b3o2bo2bo$16bo$15bo$14bo7bo2b2obo$22bo5bo2$22bo2b2obo2$22bo2bo$22bo 2bob2o6$15bo$13bo2$14bobo$21bo$20bo$19bo$18bo19b2o3b3o2bobobobo2bo2bo 2bo3b7o3b7o2bo2b7o3bo3bo2bo$17bo5b2obo$26bo$23bo$23bob2o2$23bo2bo$23b 2obo4$15bo$13bo2$14bobo$21bo$20bo$19bo18bo3b3o3bo2bo2bo3b7o3b5o2bobo2b o3bo2bo2bo3b2o2bobobo2b3o2bo2b3o3bo2bo2bo2bo3bo2bobo2bo3b3o3b2o3bo3b7o 3b3o2bo2b9o2bobo2bo3bo3b5o3bo2bobobo2bo2bobo2bo2bo2b3o3b3o3b3o2bobo2b 11o2bo2bo2bo2b3o2bo2b3o2bo2bo3b3o2bobo2b3o3b5o2bobobobobobobobo2b5o3b 5o2bo2bo2bo2b3o2bobo2bo3b3o3b3o3b5o3b5o2bo2b7o3bo2bo2bo2bo2b3o3b5o2bo 2b11o3b3o2bo2b5o3bo$18bo$17bo5b2obo2$26bo$26bo2$26bo$26bo5$15bo$13bo2$ 14bobo$21bo$20bo$19bo$18bo19bo3b3o3bo2bo2bo2bo2b3o3b7o2bobo2b3o2bo2bo 2bo2bo4b7o3bo3bo3b5o2bobo2bo3b5o2bobobobo2b5o3b6o3b5o3bo2bobobobo2bo3b 6o2bobo2bo4bo2bobobo2bo2bobobobo2bo3bo2bobobo2b3o2bobobo2b3o3b3o3b3o2b o2bo3bo3b3o3bo3bo3b3o2bobobo2bo2bobobo2bo3bo3b3o3b3o3bo2bo2bo3bo2bo2b o2bo2bo2b10o3b3o2bobo2b2o2bobobo2b3o2bo2bo3b3o3bo3bo2bobo2b11o3b5o2bo 2b15o2bo2b7o3b5o2bobobobobobobo2bo2bo3b3o3b5o2bobo2bo2bobobo2b5o3b3o2b obo2bo2bo2b6o2bo2bo2bo2bo3b3o2bobobo2b6o3b7o3b7o2bobobobo2b3o3bo2bobo bo2b2o$17bo5b2obo2$23bo$23bob2o$46bobo2b3o3bobo2b4o2bob3o2bo2b4o3bo3b o3bob2obo5b2o6bo2b2o2bo2b2obo3b4o2bo4b2o2b2o2bob3obob2o2bo2b3ob3obo10b o2bob2o4bo4bobobo56bo$23bo2bo18bob125obo2b2obob3ob17obo6b2o2b2ob4obo2b 2ob5ob2o4bo2bo5bob2obo2bo$23b2obo11bo2bob2ob213o2bo$45bob125obo2b2obo b3ob17obo6b2o2b2ob4obo2b2ob5ob2o4bo2bo5bob2obo2bo$46bobo2b3o3bobo2b4o 2bob3o2bo2b4o3bo3bo3bob2obo5b2o6bo2b2o2bo2b2obo3b4o2bo4b2o2b2o2bob3ob ob2o2bo2b3ob3obo10bo2bob2o4bo4bobobo56bo7$15bo$13bo24bobo2b5o3b7o2$14b obo$21bo$20bo$19bo18b3o2bo2bo3bo2bo2bo$18bo$17bo5bob2o2$23bo$23bob2o11b o2$26bo15b3o2bo2bo3bo2bo2bo$23b2obo$38bo5$38b3o2bo2bo3bo2bo2bo3bo3bo3b 3o3bo2bo2b5o2bobo2b5o3b7o5$38bo3b3o3bo2bo2b5o2bobo2b5o3b7o5$38bo3bo3b 3o2bo2b5o2bobo2b5o3bo2bo2bo5$38bo2bobobo2b5o3bo3bobo2b5o3b7o5$38bo3bo 2bobo2b3o2bo3bobo2b5o3b7o$15bo$13bo2$14bobo$21bo$20bo16bo3b3o3bo2bobo 2bo3bo2b11o2bo2b3o4b2o$19bo$18bo$17bo5bo2bo$23bo$26bo$23b2obo2$26bo$26b o$38b2obo2b2ob7ob3o2b4obo5bobob4o2bo2bo3bo4bo2b3o$37b62o3b5o$39b71o$40b obo2b6o2b2obob3o3b4o5b3obo2bo2b2o2b3o2bob2o2bo7bo5$43bo2$40bo2$38bo2$ 41bo2$14bo$12bo2$13bobo$20bo$19bo19bob2o$18bo32b2o4b2o2b4o4b10o6b4o2b 6o2b2o3bobo$17bo21bo3b58obo$16bo5b2obo18b52ob3o2bobo$25bo15b24ob2ob18o 2bobo2b3o3bob2obo$37bo10bobo3bobobo3bo5b2obo5bobobobobo15bobo2bo$22b2o bo22bobo3bobobo3bo6bobo5bobobobobo17bo$25bo11bo10bobo3bobobo3bo5b2obo 5bobobobobo15bobo2bo$41b24ob2ob18o2bobo2b3o3bob2obo$22b2obo18b52ob3o2b obo$39bo3b58obo$51b2o4b2o2b4o4b10o6b4o2b6o2b2o3bobo$39bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 THUMBZOOM 4.5 HEIGHT 1000 WIDTH 2200 X -100 ]]

Other spaceships. (click above to open LifeViewer)

Guns

x = 270, y = 217, rule = B026/S1 119bo7$106bo3$103bo$44bo2$110bo$41bo67bo3$48bo$47bo5$96bo$obobo2bobob o2$o3bo2bo$34bo$obobo2bobobo2$4bo2bo3bo2$obobo2bobobo9$140bo3$137bo3$ 80bo3$77bo$124bo38$53bo89bo29bo50bo$26bo67bo$93b3o$94bo51bo80bo28bo$249b o2$81bo5bo$116bo69bo59bo$218bo$90bo128bo$189bo$12bo71bo$85bo75bo$203b o$63bo2$129bo$130bo$261bo$260bo$25bo46bo50bo80bo$obobo2bobobo14bo25bo 121bo$51bo123bo$4bo6bo114bo80bo$76bo192bo$obobo2bobobo156bo2$4bo2bo258b o$171bo$obobo2bobobo$25bo$24bo25bo$51bo3$184bo3$13bo13$50bo$23bo24$53b o$72bo3$75bo16$obobo2bo3bo2$o6bo3bo2$obobo2bobobo2$o3bo6bo2$obobo6bo13b o9$38bo$39bo3$32bo3$35bo7$48bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 THUMBZOOM 4 HEIGHT 800 WIDTH 1400 ]]

Some guns. (click above to open LifeViewer)

See also

• B017/S01, another notable life-like strobing rule.

External links

• B026/S1 (discussion thread) at the ConwayLife.com forums
• B026/S1 at Adam P. Goucher's Catagolue
• List of strobing rules