User:PK22/OCA:B36n7eS2-i3

B36n7eS2-i3 is an isotropic non-totalistic rule discovered by PK22 . It is three transitions away from CGoL, but it has lots of unique behaviour.

Spaceships

This rule has a (9,7)c/152 oblique spaceship, based on the wing:

x = 37, y = 29, rule = B36n7e/S2-i3 27bo$26b3o$26bo2bo$9b2o16bobo$9b2o17bo4$34b2o$32bo3bo$2o31b3o$2o28b5o$ 31bo2$9bo$8b3o$8bo2bo$9bobo$10bo2$20bo12b2o$18b2ob2o10b2o$21b2o$18bo4b o$19b4o$20b3o2$24b2o$24b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 2 AUTOSTART TRACKLOOP 152 9/152 -7/152 ]]

An oblique spaceship (click above to open LifeViewer)

It is almost isotropically endemic - it only works in this rule and B36n7e8/S2-i3, which only differs by a single condition.

Shown below are a range of known spaceship velocities, most of which were discovered using ikpx2

x = 277, y = 53, rule = B36n7e/S2-i3 7b3ob3o19b3ob3o12b3o3b3o19b2o5b2o11b4o3b4o27bo22bo18bo17b2o42b2o30b3o$ 6bo2bobo2bo17bo2bobo2bo10bo2bo3bo2bo16b2ob2o3b2ob2o9bob2o3b2obo26bobo 20bobo16b3o15bo2bo29b2o10bobo31bo$5bo3bobo3bo15bo3bobo3bo12bo3bo24bobo 13bo4bobo4bo23bo2bo2bo16bo2bo2bo32b4o29b2o10bo2bo29bo$5bo9bo15bo9bo8bo 3bo3bo3bo14bo5bobo5bo7bo3bo3bo3bo22b2obobob2o14b2obobob2o77b2o$7bo5bo 19bo5bo14bo3bo18bobobo5bobobo7bo4bobo4bo21b2o7b2o12b2o7b2o30bo2bo$4bob o7bobo13bobo7bobo8bo2bo3bo2bo20b2ob2o12bo3bo3bo3bo21b2obo3bob2o12b2obo 3bob2o30bo2bo$3b2obob2ob2obob2o11b2obob2ob2obob2o33bo13bo41bo9bo12bo9b o30b4o$2bobo3b2ob2o3bobo9bobo3b2ob2o3bobo55b2o7b2o$b2obo4bobo4bob2o7b 2obo4bobo4bob2o31b2o11b2o10bo5bo25bob5obo14bob5obo30b2o2b2o$o2bobo2bo 3bo2bobo2bo5bo2bobo2bo3bo2bobo2bo53bob2o3b2obo27bo22bo$8b2ob2o21b2ob2o 38b3o9b3o9bo2bobo2bo24bo7bo14bo7bo83b2o$2o2bo2bobobobo2bo2b2o5b2o2bo2b obobobo2bo2b2o30bo13bo7bo4b3o4bo21b2obo3bob2o12b2obo3bob2o81b3o$6bo7bo 18bo5bo38bo11bo10bo7bo23b2ob2ob2ob2o12b2ob2ob2ob2o81bo2bo$4bo11bo15bob 2ob2obo62bo3bo24bo11bo10bo11bo80b2ob2o$3b2obo7bob2o17bobo64bo2bo2bo22b ob3o5b3obo8bob3o5b3obo80bobo$2bobob2o5b2obobo14bobobobo91bo5bobo5bo8bo 5bobo5bo65bo15bo$b2o15b2o15bobo64b2o3b2o23bo3bo3bo3bo10bo3bo3bo3bo64b 2obo$o2b2obobo3bobob2o2bo210bobobo$5b2ob2ob2ob2o85b2o5b2o24b2obobob2o 14b2obobob2o65bob2o$2o17b2o79bo9bo26bobo20bobo69bo$4bo2bobobobo2bo86bo 3bo$6bo7bo86bobo3bobo25bobobobo16bobobobo$103bo3bo26bo3bo3bo14bo3bo3bo $134bobo3bobo14bobo3bobo$133b2ob2ob2ob2o12b2ob2ob2ob2o$134b2obobob2o 14b2obobob2o81b2o$134b3o3b3o14b3o3b3o81b2o$133b2o7b2o12b2o7b2o$132bo3b 2ob2o3bo10bo3b2ob2o3bo67b2o$131bo2bo7bo2bo8bo2bo7bo2bo65b3o$131b2obo7b ob2o8b2obo7bob2o65bo2bo$135bo5bo16bo5bo69b2ob2o$134bo2bobo2bo14bo2bobo 2bo69bobo$134bob2ob2obo14bob2ob2obo70bo$132bo3bo3bo3bo10bo3bo3bo3bo72b 2o$132bo2bo5bo2bo10bo2bo5bo2bo72b2o$134b2o5b2o14b2o5b2o$133b3o5b3o12b 3o5b3o$137b3o20b3o$136b5o18b5o3$160b2o$160b2o$159bob2o$160bo$161bo$ 162bo$160bo2bo$161b2obo$164bo$161bo2bo$162bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 800 WIDTH 2400 THUMBSIZE 3 ]]

A range of known spaceships, separated by velocity (click above to open LifeViewer)

Linear growth

By itself, a wing evolves into a p608 gun for the oblique spaceship:

x = 4, y = 4, rule = B36n7e/S2-i3 2o$obo$o2bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 2 ]]

A gun predecessor (click above to open LifeViewer)

This makes asymmetric soups almost impossible to apgsearch - the gun is typically recognised as ZZ_LINEAR or ZZ_REPLICATOR due to the replicator-like nature of the (9, 7)c/152 reaction. Reflective symmetries can be searched, however.

This led to the discovery of a period-12 c/2 block puffer and a 14c/69 beehive puffer with a backward stream of Ts:

x = 77, y = 71, rule = B36n7e/S2-i3 34b2o38b2o$33bo2bo36bo2bo$34b2o10b3o12b3o10b2o$46b3o12b3o$47bo14bo10$ 34b2o38b2o$33bo2bo36bo2bo$34b2o38b2o5$2o9b2o$2o9b2o5$2o9b2o$2o9b2o21b 2o38b2o$33bo2bo10bo14bo10bo2bo$34b2o10bobo12bobo10b2o2$46b3o12b3o$2o9b 2o$2o9b2o5$2o9b2o$2o9b2o2$34b2o38b2o$33bo2bo36bo2bo$34b2o38b2o$2o9b2o$ 2o9b2o5$2o9b2o$2o9b2o34bo14bo$46bobo12bobo$45b2ob2o10b2ob2o$47bo14bo2$ 2o9b2o$2o9b2o$2o9b2o$b2o7b2o$b5ob5o27bo30bo$38b2o30b2o$3bo5bo27bo2bo 13b2o13bo2bo$3o2bobo2b3o25b2o9bo3bo2bo3bo9b2o$46bo2b2o3b2o3b2o2bo$45b 2o2bo10bo2b2o$45bo3bo10bo3bo$2bob2ob2obo34bobo14bobo$2bo2bobo2bo34b3o 14b3o$2b3o3b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 500 WIDTH 600 THUMBSIZE 2 ]]

The aforementioned puffers (click above to open LifeViewer)

Peter Naszvadi corderised the beehive puffer into a 14c/69 orthogonal spaceship:

x = 2007, y = 812, rule = B36n7e/S2-i3 1876bo13bo13bo13bo13bo13bo13bo$1875bobo11bobo11bobo11bobo11bobo11bobo 11bobo$1875bobo11bobo11bobo11bobo11bobo11bobo11bobo16b3o$1876bo13bo13b o13bo13bo13bo13bo16bo3bo$1976bo$1977bo4bo$1978b2ob2o$1980bo$1870b2o$1868b o2bo$1875bo111b2o$1865b3obo5bo108b2o$1865bob3o6bo110bobo$1820bobo26bo 15bob2o3bob2obo12bo26b2o26bobo26bo8bobo3b2o$1819bo2bo24b2o2bo13b2o3bo 3b2o13b2o26b3o24bo2bo24b2o2bo5b2o3bobo$1820bobo26bo17bo4b3o4b3o8bo26b 2o26bobo26bo8bobo$1878b2ob2o104b2o$1878bo3bo101b2o$1879bobo$1880bo$1981b o$1980bobo$1980bobo$1798bo182bo$1797bo17bo64bo$1797b3o14bobo62bobo$1813b o2b2o60bo3bo101b2o$1815bo62b2ob2o104b2o$1813bobo33bo17bo4b3o4b3o8bo26b 2o26bobo26bo8bobo$1812bobo32b2o2bo13b2o3bo3b2o13b2o26b3o24bo2bo24b2o2b o5b2o3bobo$1812bob2o33bo15bob2o3bob2obo12bo26b2o26bobo26bo8bobo3b2o$1814b o50bob3o6bo110bobo$1815bo49b3obo5bo108b2o$1875bo111b2o$1868bo2bo$1831b o38b2o$1825b2o3bo5bo143bo$1815b2o8b2o2bo2b5ob3o137b2ob2o$1448bo26bo27b o26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o6b2obo10bo4bo4bo136b o4bo$1446b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b 2o2bo24b3o24b2o26b3o4bo3bo11b2o2b3ob2o135bo$1448bo26bo27bo26b2o26bobo 26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o5bo4b4o2b2o8b3o37bo13bo13bo13b o13bo13bo13bo16bo3bo$1766bobo45bo11b2o9bo37bobo11bobo11bobo11bobo11bo bo11bobo11bobo16b3o$1766b2o48b3o56bobo11bobo11bobo11bobo11bobo11bobo11b obo$1767bo108bo13bo13bo13bo13bo13bo13bo2$1444b2o$1445b2o$1444bo4$1816b 3o$1814bo11b2o9bo53bo13bo13bo13bo13bo13bo13bo$919bo27bo26b2o26bobo26b o26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26b o26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o5bo4b4o2b 2o8b3o51bobo11bobo11bobo11bobo11bobo11bobo11bobo$919b3o24b2o26b3o24bo 2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2b o24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b 2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o4bo3bo11b2o2b3ob2o49bobo11bobo11b obo11bobo11bobo11bobo11bobo17b2o$919bo27bo26b2o26bobo26bo26bo27bo26b2o 26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o 26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o6b2obo10bo4bo4bo50bo13b o13bo13bo13bo13bo13bo15b2ob2o$1815b2o8b2o2bo2b5ob3o149bobo2b2o$1825b2o 3bo5bo154b2o3bo$1735bo95bo160bo$1735bobo$1735b2o147bobo$1881b2o$1441b 2o367b3o67b2o4bo114b3o$1440bobo368b2o67b2o3bo3b3o107b2ob3o$1442bo366b o2bo74bo3bo106b2o3bobo$1809b3o4b3o16bo26b2o16bo6bob2o4bo9bo26bo27bo26b 2o8bobo5b2o$1810b2o3bo2bo15b2o26b3o22bo2bo6bo5b2o2bo24b3o24b2o26b3o6b 2o5bobo$1812b2o21bo26b2o16bo6b3ob2o5bo6bo26bo27bo26b2o8bobo3b2o$1816b o71bo2bo6bo99b3ob2o$1793b3o13bo4bo77b2obob2o100b3o$921b2o871bo16b3o79b o3bo$921bobo970bobo$921bo973bo100bo$1995bobo$1995bobo$1705bo189bo100b o$1703b2o189bobo$1704b2o187bo3bo$1892b2obob2o100b3o$1438bo449bo2bo6bo 99b3ob2o$1438b2o367bo27bo26b2o16bo6b3ob2o5bo6bo26bo27bo26b2o8bobo3b2o $1437bobo367b3o24b2o26b3o22bo2bo6bo5b2o2bo24b3o24b2o26b3o6b2o5bobo$1807b o27bo26b2o16bo6bob2o4bo9bo26bo27bo26b2o8bobo5b2o$1887bo3bo106b2o3bobo $1880b2o3bo3b3o107b2ob3o$1880b2o4bo114b3o$1881b2o$953bo930bobo$952b2o $952bobo1037bo$1991b2o3bo$1990bobo2b2o$1673bo217bo13bo13bo13bo13bo13b o13bo15b2ob2o$1672bo217bobo11bobo11bobo11bobo11bobo11bobo11bobo17b2o$ 1672b3o215bobo11bobo11bobo11bobo11bobo11bobo11bobo$1891bo13bo13bo13bo 13bo13bo13bo2$1434b3o$1436bo$1435bo4$745bo13bo13bo13bo13bo13bo13bo$744b obo11bobo11bobo11bobo11bobo11bobo11bobo$744bobo11bobo11bobo11bobo11bo bo11bobo11bobo152b3o$745bo13bo13bo13bo13bo13bo13bo153bo$848b2o134bo$848b obo$847bo2bo$849bo791bobo$848bo792b2o$742b2o898bo$737bo2bo3b2o$726bob o7bobo5bo5b2o679b2o$725bo10bobobob4ob4obo87bo14b2o575b2o$691bo26b2o4b obobo8bo3bo3bo7bo7bo26bo27bo21bo2b2o11bobo574bo$690b2o26b3o3bo3bo20bo 9b2o2bo24b3o24b2o20bo2bobo11bobo$691bo26b2o4bobo10b2o7bo5bo8bo26bo27b o21bo2b2o11b2o$726bo10b2o8bo3bo88bo10bo$748b3o2$1015b2o$850bo163b2o$849b obo164bo$668bobo178bobo$668b2o180bo$669bo940bo$1610bobo$748b3o859b2o$ 681b2o2bo40bo10b2o8bo3bo88bo10bo$681b2obobo31b2o4bobo10b2o7bo5bo8bo26b o27bo21bo2b2o11b2o572b2o$680b2o2bob2o30b3o3bo3bo20bo9b2o2bo24b3o24b2o 20bo2bobo11bobo570bobo$681bobo2b2o30b2o4bobobo8bo3bo3bo7bo7bo26bo27bo 21bo2b2o11bobo572bo$682b2o3bo37bo10bobobob4ob4obo87bo14b2o$683b2obo39b obo7bobo5bo5b2o$685bo51bo2bo3b2o$700bobo39b2o$848bo$688bo5b3o6b2o144b o196b2o$686b4o3bo6b2obobo141bo2bo195bobo$12bo26b2o26bobo26bo26bo27bo26b 2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b 2o26bobo26bo26bo5b2ob3o2bo6b2o3b2o141bobo195bo$11b2o26b3o24bo2bo24b2o 2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b 2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo11bo12b2o2bo24b3o2b2o3b2o 6bo2b3ob2o142b2o$12bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b 2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo11bobo12bo26bo5b obob2o6bo3b4o40bo13bo13bo13bo13bo13bo13bo$637b2o47b2o6b3o5bo41bobo11b obo11bobo11bobo11bobo11bobo11bobo749bo$3o741bobo11bobo11bobo11bobo11b obo11bobo11bobo747b2o$3o685bobo54bo13bo13bo13bo13bo13bo13bo749b2o$bo687b 2o$690bo734bo$689bobo733b2o$689bobo732bobo$690bo$689b2o$688bobo2$686b 2o6b3o5bo57bo13bo13bo13bo13bo13bo13bo$456b2o26bobo26bo26bo27bo26b2o26b obo26bo26bo5bobob2o6bo3b4o54bobo11bobo11bobo11bobo11bobo11bobo11bobo232b o$456b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o2b2o3b2o6bo 2b3ob2o53bobo11bobo11bobo11bobo11bobo11bobo11bobo231b2o$15bo440b2o26b obo26bo26bo27bo26b2o26bobo26bo26bo5b2ob3o2bo6b2o3b2o53bo13bo13bo13bo13b o13bo13bo18bo213bobo$14bobo590bo78b4o3bo6b2obobo156b3o$605b2o81bo5b3o 6b2o157bo2bo$14b3o589b2o255bobo682bo$700bobo161bo682bo$452bo306bo787b 3o$452b2o304bobo$451bobo298b4o$683bo67bo3bo2bob2o109bo549b3o$682b3o54b obo8bo4bo4bobobo91bo12b4o550bo$663bo14b3o2bobo20bo26bo5bobo8bo2b4ob2o 14b2o26bobo26bo25b2o9b2o3bo548bo$677bo2bobob2o18b2o2bo24b3o4bo9bobobo b2o5bo2bo7b3o24bo2bo24b2o2bo22b3o8bo3b2o$662bobo13bo3bobo21bo26bo17bo bo8b2ob2o7b2o26bobo26bo25b2o9b4o$663bo15b2o71b2o8bo3bo89bo12bo$29bo633b o98bobobo$29bo$28bobo1077b3o$865bo242bo$29bo545bo288bobo242bo$574bo289b obo$574b3o288bo$1516bobo$1516b2o$448b3o311bobobo750bo$450bo301b2o8bo3b o89bo12bo$449bo227bobo26bo26bo17bobo8b2ob2o7b2o26bobo26bo25b2o9b4o546b 2o$676bo2bo24b2o2bo24b3o4bo9bobobob2o5bo2bo7b3o24bo2bo24b2o2bo22b3o8b o3b2o546b2o$677bobo26bo26bo5bobo8bo2b4ob2o14b2o26bobo26bo25b2o9b2o3bo 544bo$739bobo8bo4bo4bobobo91bo12b4o$42b3o706bo3bo2bob2o109bo$43bo708b 4o$43bo714bobo$759bo$864bo275b2o$863bobo273b2o$862bo2bo275bo$543bobo316b 3o$543b2o215bo13bo13bo13bo13bo13bo13bo18bo$544bo214bobo11bobo11bobo11b obo11bobo11bobo11bobo639bo$759bobo11bobo11bobo11bobo11bobo11bobo11bob o639bobo$445b2o313bo13bo13bo13bo13bo13bo13bo640b2o$446b2o$57bo387bo969b 2o$56b3o1355bobo$1416bo6$1171b2o$1171bobo$1171bo$512bo$512bobo$512b2o 941bo$70b3o1380b2o$70b3o369b2o1010b2o$71bo369bobo$443bo968bo$1412b2o$ 1411bobo2$1505bo13bo13bo13bo13bo13bo13bo$1504bobo11bobo11bobo11bobo11b obo11bobo11bobo$1504bobo11bobo11bobo11bobo11bobo11bobo11bobo10b2o$1505b 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2o39bo688bo$672bo2bob2o143b2o756b2o$672bobo3bo142b2ob2o14b2o738bobo$639b o33b2o5b2o2bo136b2ob2o8bo6b2o737bo$638b2o40b4o139b2o8bobo2bo4bobob2o$ 638bobo41bo32b2o13b3o100bob2ob3ob2o2b2obo$658bo31bobo24bo10b2o2bo27bo 26b2o26bobo16bo3b3ob2o3bo$660b2o27bo2bo24b2o9bo2b2o26b2o26b3o24bo2bo16b 2o180bo$657b2o2bo28bobo24bo10b3o29bo26b2o26bobo16b2o180bobo$658bob2o53b 2o117b2o8b5o167b2o$845bobo$846bo$663b2o$665bo59bo$661b2o3bo57bobo$661b 5o58bobo690bo$659bobo3bo59bo689bobo$659b5o752b2o$659bo2bobo181bo765bo $845bobo763b2o$715b2o117b2o8b5o762bobo$690bobo24bo10b3o29bo26b2o26bob o16b2o$663b2o24bo2bo24b2o9bo2b2o26b2o26b3o24bo2bo16b2o$690bobo24bo10b 2o2bo27bo26b2o26bobo16bo3b3ob2o3bo$715b2o13b3o100bob2ob3ob2o2b2obo136b o$823b2o8bobo2bo4bobob2o135b2o$821b2ob2o8bo6b2o142b2o$821b2ob2o14b2o$ 822b2o$724bo$818b2o$725bo91bo$724bo95bo3bo594bo$723b3o12bo13bo13bo13b o13bo13bo7bo5bo2bo594b2o$725bo11bobo11bobo11bobo11bobo11bobo11bobo7b2o 5bo594b2o$723bobo11bobo11bobo11bobo11bobo11bobo11bobo11b2o$722b5o11bo 13bo13bo13bo13bo13bo13bo819b3o$723bobo916bo$724bo918bo3$954bo$953bo$953b 3o$1884bo13bo13bo13bo13bo13bo13bo$1883bobo11bobo11bobo11bobo11bobo11b obo11bobo$1883bobo11bobo11bobo11bobo11bobo11bobo11bobo$1884bo13bo13bo 13bo13bo13bo13bo2$1423bo$1424bo$1422b3o2$1674b2o200bo100b3o2bo$1673b2o 200b2o110bo$1675bo198b2ob4o96b2o4bo3b2o$1872bo2bo3b3o95b2o4bo4bo$1779b o26b2o26bobo26bo7b3o3b2o3bo21bo26b2o26bobo21bo2b3o$1778b2o26b3o24bo2b o24b2o2bo4bo3b2o3b3o21b2o26b3o24bo2bo21b2o$922bobo854bo26b2o26bobo26b o7b3o3bo2bo23bo26b2o26bobo22bobob2o4b2o$922b2o948b4ob2o105b5obo4b2o$923b o952b2o111b3ob3o$1772b3o101bo112b2obob2o$1772b3o216b3o$1773bo97bo120b o$1870bobo$1870bobo$1425bobo357bo85bo120bo$1426b2o357bo2bo202b3o$1426b o358b2o2bo86bo112b2obob2o$1705b2o82bo86b2o111b3ob3o$1705bobo79bo84b4o b2o105b5obo4b2o$1705bo100b2o26bobo26bo7b3o3bo2bo23bo26b2o26bobo22bobo b2o4b2o$1806b3o24bo2bo24b2o2bo4bo3b2o3b3o21b2o26b3o24bo2bo21b2o$1794b o11b2o26bobo26bo7b3o3b2o3bo21bo26b2o26bobo21bo2b3o$1792bob2o17bo58bo2b o3b3o95b2o4bo4bo$891bo900bob2o16bobo59b2ob4o96b2o4bo3b2o$891bobo899bo 17b2obo60b2o110bo$891b2o920bo62bo100b3o2bo5$1804bo11b4o$891bo26b2o26b obo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26b obo26bo26bo10bo16bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o 26bobo20b2o10b2o2bo64bo13bo13bo13bo13bo13bo13bo$890b2o26b3o24bo2bo24b 2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o 24b2o26b3o24bo2bo24b2o2bo24b3o6bobo15b2o26b3o24bo2bo24b2o2bo24b3o24b2o 26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo19bo2bo12b2o63bobo11bobo11b obo11bobo11bobo11bobo11bobo$891bo26b2o26bobo26bo26bo27bo26b2o26bobo26b o26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo26bo9b2o16bo26b2o26bob o26bo26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo20b2o78bobo11bobo11bob o11bobo11bobo11bobo11bobo$1737bo66bo9b4o66bo13bo13bo13bo13bo13bo13bo$ 1736b2o77bo$1736bobo2$1814bo$1813bobo$1813bobo$1814bo2$1869bo13bo13bo 13bo13bo13bo$1815bo52bobo11bobo11bobo11bobo11bobo11bobo12b2o$1804bo9b 4o38b2o10bobo11bobo11bobo11bobo11bobo11bobo11b2o$1447bo26b2o26bobo26b o26bo27bo26b2o26bobo26bo26bo27bo26b2o26bobo20b2o64bo13bo13bo13bo13bo13b o$1446b2o26b3o24bo2bo24b2o2bo24b3o24b2o26b3o24bo2bo24b2o2bo24b3o24b2o 26b3o24bo2bo19bo2bo12b2o$1447bo26b2o26bobo26bo26bo27bo26b2o26bobo26bo 26bo27bo26b2o26bobo20b2o10b2o2bo$1804bo11b4o2$1967b2o$1767b3o197b2o$1767b o195b3o$1768bo44bo46b5o97bobobo5b2o$1789bobo19b2obo43b2o3bobo95b3o2bo 4bobo$1812bobo5bo27bo8bobobo4bo22bobo26bo26bo15b2o7b2o$1787bo5bo19bo6b 3o24b2o7bo4bobobo22bo2bo24b2o2bo24b3o14bo2bo2b2o3bo3bo$1820bo27bo8bob o3b2o24bobo26bo26bo17bo6b3o2b2ob2o$1787bo5bo64b5o107bo4bo3bo$1975bo3b o$1789bobo184b3o$1977bo$1793bo3b2o57bo$1793bo3b2o56bobo$1789b2o4b3o57b obo$1794bo2bo58bo$1788bo3b2o183bo$1795b2o179b3o$1789b3o183bo3bo$1858b 5o107bo4bo3bo$1820bo27bo8bobo3b2o24bobo26bo26bo17bo6b3o2b2ob2o$1820b3o 24b2o7bo4bobobo22bo2bo24b2o2bo24b3o14bo2bo2b2o3bo3bo$1820bo27bo8bobob o4bo22bobo26bo26bo15b2o7b2o$1858b2o3bobo95b3o2bo4bobo$1860b5o97bobobo 5b2o$1963b3o$1967b2o$1967b2o5$1869bo13bo13bo13bo13bo13bo$1856b2o10bob o11bobo11bobo11bobo11bobo11bobo11b2o$1868bobo11bobo11bobo11bobo11bobo 11bobo12b2o$1869bo13bo13bo13bo13bo13bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 800 WIDTH 800 THUMBSIZE 2 AUTOSTART TRACKLOOP 69 14/69 0/69 ]]

A 14c/69 orthogonal spaceship (click above to open LifeViewer)

Guns

Peter Naszvadi found a gun with glider output on May 26, 2025, and reduced this the following day to a period 3580 gun:

x = 180, y = 154, rule = B36n7e/S2-i3 105b2o$105b2o9$94b2o$94b2o6$114b2o$114bobo$116bo$116b2o13$138bo$136bob o$137b2o2$141b2obo$141b2ob3o$147bo$110b2o29b2ob3o$104b3ob3obo29bobo$ 96b2o6bo3bo33bobo$95bo2bo4bo4bo34bo$95bobo5bo$96bo6bo3bo$102bo5bo$106b obo$107bo$115b2o$115b2o8$100bo$100b2o$96bo4b2obo$95bo3b2obo$95bo2bo2bo bobo$94bob2o2bo3bo$102b3o$103bo8$98b2o$98b2o23$62b2o$62b2o2$119b2o$ 119b2o2$29bo127b2o$28b3o126b2o$28bobo$29bobo23b2o$55b2o$30bo$17b2o107b 2o$17b2o107b2o2$142bo21b2o$142b2o20b2o$138bo4b2obo$48b2o87bo3b2obo$48b 2o87bo2bo2bobobo$32b2o102bob2o2bo3bo$10b2o19bob2o109b3o$10b2o18b2o113b o11$178b2o$178b2o8$bo$3o$obo$bobo23b2o$27b2o$2bo5$8bobo$7bo$7bo12b2o$ 7bo2bo9b2o$8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 800 WIDTH 2000 THUMBSIZE 3 AUTOSTART LOOP 3580 STEP 20 ]]

A reduced gun (click above to open LifeViewer)

Oscillators

Most small period-2 oscillators from Life also work here, but the absence of S2i means that larger oscillators tend to fail. Shown below is a stamp collection of various oscillators, most of which were discovered using apgsearch:

x = 113, y = 101, rule = B36n7e/S2-i3 91bo$71bobobo14bobo$bobobo82bo5bo15b2o$71bo3bo11bo2bobo2bo10bobob2o$5b o22b2o3b2o7bo47b3o15bo2b2o$12b2o13bo2bobo2bo6bobo26bobobo10bo2bo3bo2bo 12bob2o$bobobo6bo8b3o3b2obobob2o5bobo46b3o15b3o$15bo4b3o7b3o10bo27bo3b o11bo2bobo2bo$bo12b2o14bobo55bo5bo$31bo39bobobo14bobo$bobobo85bo8$32bo $31bobo$30bobobo$obobo25bo3bo$13b4o11b2o2bo2b2o6bo8bo38bo$4bo8bo2bo10b o4bo4bo4bobo6bobo35bo3bo$10bo8bo6bobob2ob2obobo4bob2o2b2obo$obobo4bobo bo2bobobo6bo4bo4bo8bo2bo38bo2bo2bo$10bo8bo8b2o2bo2b2o9bo2bo20bo2bobobo 10bobobobo$4bo8bo2bo13bo3bo55bobo$13b4o13bobobo35bo2bo3bo10b2o3b2o$obo bo26bobo54b2o3b2o$32bo37bo2bo3bo$88b2o3b2o$70bo2bo3bo10b2o3b2o$90bobo$ 70bo2bobobo10bobobobo$88bo2bo2bo2$89bo3bo$91bo3$o3bo$22bo$o3bo16bob2o$ 12b2o11bo$obobo6bo2bo6bo2bobo$11b4o8bo2bo$4bo19b2o2$4bo4$71bo2bobobo$ 91bo3bo$71bo2bo12bo4bobo4bo$86bo5bobo5bo$71bo2bobobo6bo5bobobo5bo$91b 2ob2o$71bo6bo14bo2$obobo14bob2obo46bo2bobobo5bo2b2o9b2o2bo$20bo2bo61b 2obo9bob2o$o19b4o63bobo7bobo$20bo2bo61b2obo9bob2o$obobo14bob2obo59bo2b 2o9b2o2bo$15bo3bo4bo3bo$4bo14bob2obo68bo$20bo2bo67b2ob2o$obobo15b4o61b o5bobobo5bo$20bo2bo62bo5bobo5bo$19bob2obo62bo4bobo4bo$91bo3bo7$95bo$ob obo89bo$96bo$o17bo3bo69bo$19bob2o69bobo$obobo14b2obo47bobobo2bobobo8b 2obo3bo$19bo3bo68bo4b2o$o3bo65bo10bo6bo2bo4bo2bo$87bo8bob2o$obobo65bob obo2bobobo7bo4b2ob5o$92b2o2bo2b2obo$74bo2bo15bob2o2bo2b2o$94b5ob2o4bo$ 70bobobo2bobobo14b2obo8bo$96bo2bo4bo2bo$97b2o4bo$98bo3bob2o$101bobo$ 103bo$99bo$101bo$100bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 800 WIDTH 2000 THUMBSIZE 3 ]]

Various oscillators (click above to open LifeViewer)

To do

• Name the rule and the spaceship.
• Try to prove the rule omniperiodic - a way of producing arbitrarily large periods is needed.
• Keep apgsearching symmetric soups.

External links

• B36n7e/S2-i3 at Catagolue