User:DroneBetter/B3ai4/S23

B3ai4/S23
x=64, y = 64, rule = B3ai4/S23 ! #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	23/3ai4 B3ai4/S23
Character	Chaotic
Black/white reversal	B0123478/S01235-ai678

B3ai4/S23 is an isotropic non-totalistic rule with Hensel notation B3ai4/S23. It had been searched a very small amount by an anonymous Catagolue user, then much more thoroughly by DroneBetter, who made a forum thread for it on October 29, 2022, and also convinced Darren Li to search with the Open Science Grid in CPU mode (due to apgsearch not supporting GPU soup-searching for INT rules).

It is somewhat easy to arrive upon by the rationale "what if Life had B4 instead of B3" followed by the realisation that this precludes patterns escaping their bounding octagons, and finally by the decision to use the two highest-population transitions that enable infinite growth, to keep in spirit with the B4.

oscillators

x = 32, y = 19, rule = B3ai4/S23 $2o2b2o2b2o7bo9bo$2o2b2o2b2o5b2ob2o5b2ob2o$24bo5bo$14bob3obo3bob3obo$8b2o4bob3obo2bo2b3o2bo$8b2o4bob3obo3bob3obo$24bo5bo$15b2ob2o5b2ob2o$2o2b2o2b2obo5bo9bo$2o2b2o2bo3bo$9b2obo13bo2b3o$9b2o14bobo$2o7bo5b3ob3o2bob2obo$2o23b3obo$17bobo10bo$24bob2obo$2o2b2o2b2ob3ob3ob3o2bo3bo$2o2b2o2b2o14bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 2 ZOOM 16 HEIGHT 560 ]] (click above to open LifeViewer)	x = 42, y = 20, rule = B3ai4/S23 30b2o2b2o$30b2o2b2o4b2o$3b2o2b2o2b2o2b2obob2o3b2ob2o6b2o2b2o$3b2o2b2o2b2o2bo5bo4bo2bo6bo2bo$16b2ob2o5b2ob2o5b2o2bo$16bo3bo3b2o13b2o$11b2o3b5o3b2o$11b2o2bo5bo$3b2o11b2ob2o$2obob2ob2o8bo4b2o$2obo5bob2o10bobo2b2o$3b2ob2obob2o11bob2obo$8b2o17b2o$18bo5b2o2bo$11b2o4bobo6bo2bo$11b2o4bo5bo2bobobo$16bo2bo3b2o4b2o$18bo$3b2o2b2o2b2o3bobo$3b2o2b2o2b2o4bo4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 3 ZOOM 16 WIDTH 720 HEIGHT 560 ]] the bottom-right one can be seen as an "overclocking" of the p8 (click above to open LifeViewer)
x = 87, y = 29, rule = B3ai4/S23 58b2o3b2o14b2o3b2o$26b2o30bo3b4o13bo3b4o$2o2b2o19bobo31b3o18b3o$o4bo20bo$27bo37b2o5b2o$2b3o2b2o6b2o6b2o3bo36bobo3bobo$2o5b2o6b2o6b2o4b2o11b3o6b2o7b3o3b3ob3o6b3o$2o2b3o11b4o6b3o8b2o10bobo2b4o3bo3bo3bo3b4o3bo$17b2o2b2o6bo9bo12bo4b2o3b2o2b2o3b2o3b2o3b2o$3bo4bo6bob2o2b2obo5bo9b3o10bo11b2o2bo2b2o$3b2o2b2o6b2o6b2o6bo9b2o11bo4b2o3bobo2bo2bobo3b2o$30bobo2b2o12bo3b3o3bobob4o5b4obobo$20b2o3b2o3b2o3bobo4b2o5bo3b2o5b4o11b4o$7b2o2b2o2b2o2b4o2bobo9b2o3b2ob2o2bo5bo5bo15bo$5bo2bo2b2o2b2o10b2o5bo2b2ob2o3b2o9b2o6b2o7b2o$4bo24bo4bo5b2o4bobo6bo5bo15bo$5b3o22bo3bo12b2o4b2o5b4o11b4o$15b2o3b2o3b3ob3o9b2o10b3o3bobob4o5b4obobo$4b3o8b2o3b2o8bo10b3o10bo4b2o3bobo2bo2bobo3b2o$7bo10bo10bo14bo8bo11b2o2bo2b2o$3bo2bo10b3o7b2o14b2o7bo13b2o3b2o2b2o3b2o$3b2o10bob3obo3bobo11b3o9bobo2b2obob2o4bo3bo3bo3b4o$15b2o3b2o3b2o24b2o3bobobobo3b3ob3o3b3o$57b2ob2o3bobo3bobo$59bo5b2o5b2o$57b2ob2o$56bobobobo14b3o$56b2obob2o13bo3b4o$76b2o3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 4 ZOOM 16 WIDTH 1440 HEIGHT 560 ]] (click above to open LifeViewer)
x = 18, y = 11, rule = B3ai4/S23 3b3o7b3o$2bobobo5bobobo$2bobobo5bobobo$bo2bo2bo3bo2bo2bo$b7o3b7o$o7bo$b7o4b5o$bo2bo2bo4bo3bo$2bobobo6bobo$2bobobo7bo$3b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 5 ZOOM 16 HEIGHT 560 ]] seminatural p5 dot sparker and monomerisation (click above to open LifeViewer)	x = 7, y = 9, rule = B3ai4/S23 2b3o$o5bo$o5bo$b5o3$bobobo$obobobo$2o3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 6 ZOOM 16 HEIGHT 560 ]] seminatural p6 pipsquirter (click above to open LifeViewer) Catagolue: here
x = 42, y = 19, rule = B3ai4/S23 5b2o2b2o2b2o$2o3b2o2b2o2b2o$2o$3bo19b2o$2b3o8b2o2b2o4b2o4b2o4bo4b2o$3b3o4bo2b2o2b2ob3o2b3ob2o3bobo3b2o$4b3o2bobo7bo8bo4bo3bo$4bobo2bobo6bo10bo3bo3b2o$10bo2b2o3bo2b2o2b2o2bo4bo3b2o$13b2o3bo2bo4bo2bo5b2o3bo$16b2o12b2o4b2o3bo$16b2o12b2o5bo3bo$13b2o3bo2bo4bo2bo3b2o3bobo$13b2o3bo2b2o2b2o2bo3b2o4bo$18bo10bo$19bo8bo$13b2o2b2ob3o2b3ob2o$13b2o2b2o4b2o4b2o$23b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 7 ZOOM 16 WIDTH 720 HEIGHT 560 ]] featuring another p8 overclocking (click above to open LifeViewer)	x = 7, y = 7, rule = B3ai4/S23 5b2o$5b2o$2b2o$bo2bo$b2obo$ob2o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 8 ZOOM 16 HEIGHT 560 ]] the highly overclockable p8 (click above to open LifeViewer) Catagolue: here
x = 69, y = 22, rule = B3ai4/S23 39b2o$38bo2bo$2o11b2o24b2o$2o11b2o38b2o$53bobo$54bo$2o11b2o23b2o17b2o$2o11b2o6bobobo6bo4bobo16bobo$20bobobobo4bobo3b3o16b3o$19bo7bo3bobo8b2o17b2o$2o11b2o3bo9bo3bo8bobo16bobo$2o11b2o2bo11bo10bobo8bo7bobo$18bo4bo4bo11b2o8bobo6b2o$17bo4b3o4bo14b3o3bobo10b3o$2o11b2o3bo4bo4bo15bobo4bo11bobo$2o11b2o2bo11bo14b2o17b2o$18bo9bo38bo$19bo7bo38bobo$2o11b2o5bobobobo40b2o$2o11b2o6bobobo17b2o$42bo2bo$43b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 11 ZOOM 16 WIDTH 1280 HEIGHT 560 ]] would be nice to monomerise the rightmost thing (click above to open LifeViewer)
x = 117, y = 32, rule = B3ai4/S23 96b2o6b2o$95bo2bo4bo2bo$94bo4bo2bo4bo$95bo2bo4bo2bo$96b2o6b2o2$68b2o21b2o16b2o$67bo2bo20b2o7b2o7b2o$66bo4bo22b3o2bo2bo2b3o$67bo2bo16bo5bo2bo8bo2bo5bo$24b2o42b2o16bobo4bo2bo8bo2bo4bobo$2o3b2o2b2o2b2o9bobo58bo3bo3b3o10b3o3bo3bo$2o3b2o2b2o2b2o10bo37b2o20bo3bo10b2o10bo3bo$51b2o10b2o21bobo10bo2bo10bobo$26bo24b2o13b3o18bo5bo4bo4bo4bo5bo$2o11b2o10b3o31bo5bo2bo23bo4bo6bo4bo$2o11b2o11bo13b2o4b2o10bobo4bo2bo23bo4bo6bo4bo$36b2o2b2o3bo2bo8bo3bo3b3o3bo8bo6bo5bo4bo4bo4bo5bo$32bo2bobo7bo3b3o5bo3bo17bobo4bobo10bo2bo10bobo$2o3b2o2b2o2b2o16b3o2bo8bo6bo5bobo17bo3bo2bo3bo10b2o10bo3bo$2o3b2o2b2o2b2o7bo9bo11bo2b2o3bo6bo8bo3b3o3bo3bo2bo3bo3b3o10b3o3bo3bo$18bo2b3o19bo3b2o2bo19bo2bo4bobo4bobo4bo2bo8bo2bo4bobo$17bobo2bo20bo6bo20bo2bo5bo6bo5bo2bo8bo2bo5bo$2o11b2o2b2o25b3o3bo20b3o20b3o2bo2bo2b3o$2o11b2o13bo18bo2bo3b2o19b2o14b2o7b2o7b2o$27b3o18b2o4b2o19b2o14b2o16b2o$28bo$2o3b2o2b2o2b2o28b2o25b2o24b2o6b2o$2o3b2o2b2o2b2o14bo13b2o24bo2bo22bo2bo4bo2bo$28bobo37bo4bo20bo4bo2bo4bo$29b2o38bo2bo22bo2bo4bo2bo$70b2o24b2o6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 13 ZOOM 16 WIDTH 1960 HEIGHT 560 ]] (click above to open LifeViewer)
x = 63, y = 19, rule = B3ai4/S23 $2o3b2o6b2o11b2o8b2o12b2o$2o3b2o6b2o10bobo2b2o4b2o12b2o$26bo3b2o7b2o13b2o$39b2o13b2o$2o3b2o6b2o6b3o9b3o11b3o$2o3b2o6b2o6bobo9bobo7bo2bob2o$21b3o9b3o11b3o6b3o$56b2obo2bo$2o3b2o2b2o2b2o3bo14bo22b3o$2o3b2o2b2o2b2o2bobo12bobo15b2o$17b2o13b2o16b2o$54b2o$2o11b2o39b2o$2o11b2o3$2o11b2o$2o11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 14 ZOOM 16 WIDTH 1120 HEIGHT 560 ]] thing on the right is both a pipsquirter and dot sparker, once each throughout its period (click above to open LifeViewer)	x = 54, y = 21, rule = B3ai4/S23 24b2o14b2o$24b2o13bo2bo$40b2o$2o3b2o2b2o2b2o33b2o$2o3b2o2b2o2b2o21b2o10b2o$36b2o$21b3o22bo5bo$2o3b2o15bo16b3o3b2o4bobo$2o3b2o12bo3bobo14b2o2b3o4bobo$19b2o3b2o15bo10bo$19bobo3bo$2o3b2o2b2o2b2o7bo6b2o3bo10bo$2o3b2o2b2o2b2o6b3o5b2o2bobo4b3o2b2o$33bobo4b2o3b3o$34bo5bo$2o11b2o34b2o$2o11b2o9b2o11b2o10b2o$24b2o11b2o$45b2o$2o3b2o2b2o2b2o29bo2bo$2o3b2o2b2o2b2o30b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 15 ZOOM 16 WIDTH 960 HEIGHT 560 ]] (click above to open LifeViewer)
x = 86, y = 36, rule = B3ai4/S23 65b2o3b2o$65b2o3b2o3$63bo9bo$63b2o3bo3b2o$63b2o2bobo2b2o$63bo2bobobo2bo$67bobo$68bo2$2o3b2o2b2o2b2o$2o3b2o2b2o2b2o2b4o6b4o10b4o10b4o9bo9b4o$18b2o8b2o12b2o12b2o9bobo9b2o$33b2o16b2o14bobo14b2o$2o3b2o10bo12bo2b2o6bo9b2o5bo9bo9bo5b2o$2o3b2o9bobo10bobo8bobo14bobo4b2o5b2o4bobo$15bobobo8bobobo6bobobo12bobobo2bo2bo3bo2bo2bobobo$16bobo10bobo8bobo14bobo4b2o5b2o4bobo$2o3b2o2b2o2b2o2bo12bo2b2o2b2o2bo5b2o2b2o5bo9bo9bo5b2o$2o3b2o2b2o2b2o18b2o2b2o8b2o2b2o14bobo14b2o$18b2o8b2o12b2o12b2o9bobo9b2o$17b4o6b4o10b4o10b4o9bo9b4o$2o3b2o6b2o$2o3b2o6b2o$47b2o19bo$47bo3bo15bobo$2o3b2o2b2o2b2o36bo6b2o3bo2bobobo2bo$2o3b2o2b2o2b2o34b3o6b2o3b2o2bobo2b2o$63b2o3bo3b2o$63bo9bo2$47b2o6b3o$47b2o6bo9b2o3b2o$55bo3bo5b2o3b2o$58b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 16 ZOOM 16 WIDTH 1440 HEIGHT 600 ]] (click above to open LifeViewer)
x = 14, y = 14, rule = B3ai4/S23 4b2o$3bo2bo$4b2o$2o$obo$bo$5bo$4bobo5bo$4bo2bo3bobo$5b2o4bobo$12bo$9bo$8bobo$9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 17 ZOOM 16 HEIGHT 560 ]] p17 (click above to open LifeViewer) Catagolue: here	x = 31, y = 31, rule = B3ai4/S23:T31,31 2$11b2o5b2o$10bob2o3b2obo$9b2obo5bob2o$10b2o7b2o4$4bo21bo$3b3o19b3o$2bo2bo19bo2bo$2b3o21b3o$3bo23bo4$3bo23bo$2b3o21b3o$2bo2bo19bo2bo$3b3o19b3o$4bo21bo4$10b2o7b2o$9b2obo5bob2o$10bob2o3b2obo$11b2o5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 20 ZOOM 16 HEIGHT 560 ]] p20 that forms a strictly volatile agar (click above to open LifeViewer)
x = 111, y = 37, rule = B3ai4/S23 74b2o5b2o$73bo2bo3bo2bo$74b2o5b2o3$74b2o5b2o$73bob2o3b2obo$72b2obo5bob2o$73b2o7b2o$2o2b2o2b2o3b2o2b2o2b2o$2o2b2o2b2o3b2o2b2o2b2o15b2o18b2o37b2o$38b2o18b2o37b2o$44bo8bo13bo21bo13bo$8b2o3b2o6b2o20b3o6b3o6bo4b3o19b3o4bo6b3o4bo$8b2o3b2o6b2o20bo2bo4bo2bo5bobo2bo2bo19bo2bo2bobo5bo2bo2bobo$26b2o16b3o4b3o6bobo2b3o21b3o2bobo6b3o2bobo$26b2o17bo6bo8bo4bo23bo4bo8bo4bo$2o2b2o2b2o3b2o6b2o$2o2b2o2b2o3b2o6b2o$29bo$27b4o14bo6bo8bo4bo23bo4bo8bo4bo$2o11b2o6b2o4b5o12b3o4b3o6bobo2b3o21b3o2bobo6b3o2bobo$2o11b2o6b2o9bo10bo2bo4bo2bo5bobo2bo2bo19bo2bo2bobo5bo2bo2bobo$30b2o11b3o6b3o6bo4b3o19b3o4bo6b3o4bo$44bo8bo13bo21bo13bo$2o2b2o2b2o3b2o2b2o2b2o11b2o2b2o18b2o37b2o$2o2b2o2b2o3b2o2b2o2b2o11b2o2b2o18b2o37b2o2$73b2o7b2o$72b2obo5bob2o$73bob2o3b2obo$74b2o5b2o3$74b2o5b2o$73bo2bo3bo2bo$74b2o5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 20 ZOOM 16 WIDTH 1800 HEIGHT 600 ]] p20 shuttle (that has ouroboros) and also some finite stabilisations of the above one (click above to open LifeViewer)
x = 7, y = 7, rule = B3ai4/S23 2b3o$bo3bo$o5bo$o5bo$o5bo$bo3bo$2b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 21 ZOOM 16 HEIGHT 560 ]] the most important oscillator, owing to its commonness (arising from the predecessor for the traffic light from Life, with which it is synonymous) (click above to open LifeViewer) Catagolue: here	x = 66, y = 25, rule = B3ai4/S23 48b2o$47bo4bo4bo$32b2obob2o5bobo3b4o2b3o$32bo5bo13bo4bo$2o2b2o2b2o3b2o2b2o2b2o11bobo7bobob2o$2o2b2o2b2o3b2o2b2o2b2o20bo$33bo3bo4bo3bo$33bo3bo4bo3bo16bo$8b2o11b2o12bo8bo17b3o$8b2o11b2o2b2o8bo8bo18bo$24bobo7b3o6b3o$25bo9bo8bo$2o2b2o2b2o3b2o2b2o2b2o5b2o33bo$2o2b2o2b2o3b2o2b2o2b2o5b2o32b3o$35bo8bo18bo$34b3o6b3o17bo$2o11b2o20bo8bo16bo3bo$2o11b2o10bo35bo3bo$24b3o37bo$25bo32b2obobo$2o2b2o2b2o3b2o2b2o2b2o5b2o2b2o3b2o11bo4bo$2o2b2o2b2o3b2o2b2o2b2o5b2o2b2o3b2o10b3o2b4o3bobo$25bo24bo4bo4bo$24bobo31b2o$24b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 22 ZOOM 16 WIDTH 1200 HEIGHT 560 ]] p22 has two shuttles (one even with a strictly volatile ouroboros!), very interesting period (click above to open LifeViewer)
x = 32, y = 32, rule = B3ai4/S23 7b2o14b2o$7b2o14b2o4$10bo10bo$10b2o8b2o$2o9b2o6b2o9b2o$2o28b2o2$5b2o18b2o$6b2o16b2o$7bo4b2o4b2o4bo$12b2o4b2o5$12b2o4b2o$7bo4b2o4b2o4bo$6b2o16b2o$5b2o18b2o2$2o28b2o$2o9b2o6b2o9b2o$10b2o8b2o$10bo10bo4$7b2o14b2o$7b2o14b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 27 ZOOM 16 HEIGHT 560 ]] p23 (click above to open LifeViewer) Catagolue: here	x = 38, y = 38, rule = B3ai4/S23 15b2o4b2o$15b2o4b2o3$14bo8bo$11b4o8b4o$12b2o4b2o4b2o$17bo2bo$18b2o3$5bo9b2o4b2o9bo$5b2o8b2o4b2o8b2o$5b2o24b2o$4b2o26b2o$2o9b2o12b2o9b2o$2o9b2o12b2o9b2o$7bo22bo$6bobo20bobo$6bobo20bobo$7bo22bo$2o9b2o12b2o9b2o$2o9b2o12b2o9b2o$4b2o26b2o$5b2o24b2o$5b2o8b2o4b2o8b2o$5bo9b2o4b2o9bo3$18b2o$17bo2bo$12b2o4b2o4b2o$11b4o8b4o$14bo8bo3$15b2o4b2o$15b2o4b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 27 ZOOM 16 WIDTH 640 HEIGHT 640 ]] p27 (click above to open LifeViewer) Catagolue: here
x = 19, y = 19, rule = B3ai4/S23 8b3o$bo15bo$2b3o9b3o$2bobo9bobo$2b2o4b3o4b2o$6bo5bo$5bobo3bobo$6b2o3b2o$o3bo9bo3bo$o3bo9bo3bo$o3bo9bo3bo$6b2o3b2o$5bobo3bobo$6bo5bo$2b2o4b3o4b2o$2bobo9bobo$2b3o9b3o$bo15bo$8b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 29 ZOOM 16 HEIGHT 560 ]] p29 (click above to open LifeViewer) Catagolue: here	x = 58, y = 19, rule = B3ai4/S23 43b2o11b2o$2o2b2o2b2o3b2o6b2o20bobo9bobo$2o2b2o2b2o3b2o6b2o16b2o3bo11bo$39b2o7bo$47bobo$8b2o3b2o6b2o13bo9bo3bo$8b2o3b2o6b2o8bo4bo10bobo$30bobo3bo11bo$29bo3bo10bo11bo$2o2b2o2b2o3b2o2b2o2b2o7bobo10bobo9bobo$2o2b2o2b2o3b2o2b2o2b2o3b2o3bo11b2o11b2o$26b2o2$8b2o11b2o$8b2o11b2o3$2o2b2o2b2o11b2o$2o2b2o2b2o11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 34 ZOOM 16 WIDTH 960 HEIGHT 560 ]] another period with two shuttles, both comprised of hassled traffic lights (click above to open LifeViewer)
x = 24, y = 24, rule = B3ai4/S23 b2o6bo$b2o5b3o4bo6b2o$9bo4b3o5b2o$15bo4$2bo$b3o18bo$2bo18b3o$22bo3$bo$3o18bo$ bo18b3o$21bo4$8bo$2o5b3o4bo$2o6bo4b3o5b2o$14bo6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 35 ZOOM 16 WIDTH 600 HEIGHT 600 ]] p35 (click above to open LifeViewer) Catagolue: here
x = 137, y = 41, rule = B3ai4/S23 111b2o7b2o$69b2o7b2o31bobo5bobo$69bobo5bobo32bo7bo$70bo7bo37bo$74bo40b3o$73b3o38b2ob2o$72b2ob2o38b3o$2o2b2o2b2o3b2o2b2o2b2o50b3o40bo$2o2b2o2b2o3b2o2b2o2b2o51bo3$8b2o3b2o6b2o$8b2o3b2o6b2o3$2o2b2o2b2o3b2o2b2o2b2o3b2o23b2o2b2o35b2o2b2o17b3o17b2o$2o2b2o2b2o3b2o2b2o2b2o3bobo21bobo2bobo16bo16bobo2bobo35bobo$27bo23bo4bo17bo17bo4bo16b5o16bo$31bo15bo12bo27bo12bo11bo5bo11bo$8b2o11b2o7bobo13bobo10b3o12bo12b3o10b3o8bobo5bobo8b3o$8b2o11b2o6bo3bo11bo3bo8b2ob2o7b2ob3ob2o7b2ob2o8b2ob2o7bobo5bobo7b2ob2o$30bobo13bobo10b3o12bo12b3o10b3o8bobo5bobo8b3o$31bo15bo12bo27bo12bo11bo5bo11bo$2o2b2o2b2o3b2o2b2o2b2o4bo23bo4bo17bo17bo4bo16b5o16bo$2o2b2o2b2o3b2o2b2o2b2o3bobo21bobo2bobo16bo16bobo2bobo35bobo$26b2o23b2o2b2o35b2o2b2o17b3o17b2o7$74bo$73b3o40bo$72b2ob2o38b3o$73b3o38b2ob2o$74bo40b3o$70bo7bo37bo$69bobo5bobo32bo7bo$69b2o7b2o31bobo5bobo$111b2o7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 39 ZOOM 16 WIDTH 2240 HEIGHT 800 ]] (click above to open LifeViewer)
x = 79, y = 22, rule = B3ai4/S23 54b2o21b2o$54b2o21b2o$2o6b2o11b2o$2o6b2o11b2o$62b3o3b3o$62bobo3bobo$2o6b2o11b2o18bo20b3o3b3o$2o6b2o11b2o17b3o13b2o17b2o$39b2ob2o12b2o17b2o$35bo4b2ob2o$2o2b2o2b2o11b2o11b3o4b3o$2o2b2o2b2o11b2o10b2ob2o4bo$34b2ob2o$35b3o18b2o17b2o$8b2o11b2o13bo19b2o17b2o$8b2o11b2o39b3o3b3o$62bobo3bobo$62b3o3b3o$8b2o11b2o$8b2o11b2o$54b2o21b2o$54b2o21b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 41 ZOOM 16 WIDTH 1440 HEIGHT 560 ]] first is natural, second looks like it might serve as a beehive factory but in fact requires its beehives to be preserved (click above to open LifeViewer)
x = 155, y = 28, rule = B3ai4/S23 150b2o$150b2o$25b2o112bo$25bobo99b2o9b3o4bo$26bo100b2o10bo4b3o$2o6b2o3b2o2b2o2b2o122bo$2o6b2o3b2o2b2o2b2o6b3o38b2o4b2o23b2o10b2o$29bobo8b2o9b2o6b2o9b2o4b2o9b2o6b2o4b2o10b2o4b2o$29b3o8b2o9b2o6b2o26b2o6b2o22b2o10bo$2o6b2o11b2o107b3o$2o6b2o11b2o11bo96bo$33bobo2b2o13b2o2b2o30b2o2b2o26b2o28bo$34b2o2b2o13b2o2b2o30b2o2b2o26b2o27b3o$2o2b2o2b2o3b2o2b2o2b2o19b3o22b3o3b2o3b3o22b3o4b3o38bo$2o2b2o2b2o3b2o2b2o2b2o19bobo22bobo2bo2bo2bobo22bobo4bobo17bo$42b3o22b3o3b2o3b3o22b3o4b3o16b3o$28b3o7b2o13b2o2b2o30b2o2b2o26b2o7bo$8b2o3b2o12bo3bo6b2o13b2o2b2o30b2o2b2o26b2o27bo$8b2o3b2o11bo5bo116b3o$26bo5bo117bo$26bo5bo7b2o9b2o6b2o26b2o6b2o22b2o$8b2o3b2o2b2o2b2o4bo3bo8b2o9b2o6b2o9b2o4b2o9b2o6b2o4b2o10b2o4b2o$8b2o3b2o2b2o2b2o5b3o39b2o4b2o23b2o10b2o21bo$135b3o4bo10b2o$136bo4b3o9b2o$142bo$130b2o$130b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 42 ZOOM 16 WIDTH 2600 HEIGHT 560 ]] (click above to open LifeViewer)
x = 105, y = 24, rule = B3ai4/S23 34b2o14b2o20b2o15b2o8b2o$2o6b2o3b2o2b2o2b2o11b2o14b2o20b2o15b2o8b2o$2o6b2o3b2o2b2o2b2o3$2o6b2o3b2o6b2o2b2o32b2o2b2o16b2o2b2o16b2o$2o6b2o3b2o6b2o2b2o32b2o2b2o16b2o2b2o16b2o$31b3o18b3o14b3o19b3o$31bobo18bobo14bobo19bobo$2o2b2o2b2o3b2o2b2o2b2o8b3o18b3o14b3o19b3o$2o2b2o2b2o3b2o2b2o2b2o3$8b2o3b2o6b2o$8b2o3b2o6b2o8b3o18b3o14b3o19b3o$31bobo18bobo14bobo19bobo$31b3o18b3o14b3o19b3o$8b2o3b2o2b2o2b2o2b2o32b2o2b2o16b2o2b2o16b2o$8b2o3b2o2b2o2b2o2b2o32b2o2b2o16b2o2b2o16b2o4$34b2o14b2o20b2o15b2o8b2o$34b2o14b2o20b2o15b2o8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 48 ZOOM 16 WIDTH 1720 HEIGHT 560 ]] (click above to open LifeViewer)
x = 29, y = 29, rule = B3ai4/S23 11b2o3b2o$11b2o3b2o10$2o25b2o$2o8bo7bo8b2o$9b2o7b2o$8b3o7b3o$9b2o7b2o$2o8bo7bo8b2o$2o25b2o10$11b2o3b2o$11b2o3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 130 ZOOM 16 HEIGHT 560 ]] p130 (click above to open LifeViewer) Catagolue: here

blockshifters

The block may be displaced by one cell by a perturbation perpendicular to the direction of its travel, oscillators that utilise this are shown separately.

x = 11, y = 12, rule = B3ai4/S23 4b2o$4b2o2$2o7b2o$2o7b2o$4b2o$3b3o4$5b2o$5b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 30 ZOOM 16 HEIGHT 560 ]] I like this p30 (it has a lot of soul) (click above to open LifeViewer) Catagolue: here

x = 13, y = 17, rule = B3ai4/S23 2o$2o$6bo$5b3o3b2o$5bo2bo2b2o$6b3o$7bo4$7bo$6b3o$5bo2bo2b2o$5b3o3b2o$6bo$2o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 40 ZOOM 16 HEIGHT 560 ]] period-doubled stabilisation of the p20 (click above to open LifeViewer) Catagolue: here

x = 23, y = 23, rule = B3ai4/S23 11b2o$11b2o7$10bo$9bob2o$8bo3b2o7b2o$2o7bo3bo7b2o$2o7b2o3bo$10b2obo$12bo7$10b2o$10b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 76 ZOOM 16 HEIGHT 560 ]] very nice (click above to open LifeViewer) Catagolue: here

x = 41, y = 41, rule = B3ai4/S23 11b2o15b2o$11b2o15b2o7$10bo19bo$9bob2o15b2obo$8bo3b2o13b2o3bo$2o7bo3bo13bo3bo7b2o$2o7b2o3bo11bo3b2o7b2o$10b2obo13bob2o$12bo15bo12$12bo15bo$10b2obo13bob2o$2o7b2o3bo11bo3b2o7b2o$2o7bo3bo13bo3bo7b2o$8bo3b2o13b2o3bo$9bob2o15b2obo$10bo19bo7$11b2o15b2o$11b2o15b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 76 ZOOM 16 WIDTH 720 HEIGHT 720 ]] they may fit together (click above to open LifeViewer) Catagolue: here

traffic light overclocking

The p21 oscillator resultant of the traffic light may be overclocked to period-18. These reactions can also be done in specific cycles, theoretically enabling any oscillator with period 21*n + 18 to be created, though thus far only 18 and 60 have been created.

x = 90, y = 31, rule = B3ai4/S23 54b2o3b2o$54bobobobo$55bobobo3$55b5o$22bo31bo5bo20bo$21bobo30bo5bo18b2obo2bo$4b2o3b2o10bo9bobo22b3o20b2obobobo$4b2o3b2o9bo2bo6bo3b2o3b2o4b2o26b2o4b2obobobo$22bo8b2o3bo2bobo2bo27bo2bo5bobobo$20bobo10bobo4bo3bo2bo25b2o$2o11b2o6bo19bo2bo2bo27bo$2o5bo5b2o12bo12bo3bo2bo6bo17b3o5bo$6b3o17b3o10bobo2bo8b3o15bo3bo3b3o4b3o$5b2ob2o15b2ob2o9b2o4b2o5b2ob2o5b2o4b2o2b3o3b2ob2o3b3o$6b3o17b3o24b3o8bo2bobo2b3o4b3o3bo3bo$2o5bo5b2o12bo26bo6bo2bo3bo11bo5b3o$2o11b2o18bo27bo2bo2bo17bo$19bobo10bobo26bo2bo3bo17b2o$18bo3b2o8bo31bo2bobo5bobobo5bo2bo$4b2o3b2o8b2o3bo6bo2bo27b2o4b2o4bobobob2o4b2o$4b2o3b2o10bobo9bo16b3o21bobobob2o$31bobo14bo5bo20bo2bob2o$32bo15bo5bo24bo$49b5o3$49bobobo$48bobobobo$48b2o3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 18 ZOOM 16 WIDTH 1440 HEIGHT 560 ]] (click above to open LifeViewer)

x = 92, y = 29, rule = B3ai4/S23 54bo$53bobo$52bo3bo$52b5o$81b2o$29bo21b7o19b2o2bob2o$28b2o10b2o9bo5bo19b2o3b4o$4o8bo15b2o7b2obob2o8bobobo15bo9b2o2bo$b2o8b2o16bo6bobobo3bo7bo3bo14b2o10bo3bo$11b2o4b4o14bo2bobobob2o7b3o14bobo11bob3o$12bo5b2o16bobobo3bo9bo14bo$37b2obob2o24b2o2bo$6bo18bo14b2o26b4o$5b3o16b3o22bo17bob2o$6bo18bo22b3o16b2o20b2o$49bo29bo9b2o$o30b2o24b2o19b3o$2o28b4o21b2obob2o6b2o9bo$2o8b2o9bo22bo9bo3bobobo5b2o20b2o$o8b4o8b2o20b3o7b2obobobo2bo24b2obo$21b2o19bo3bo7bo3bobobo24b4o$21bo20bobobo8b2obob2o24bo2b2o$41bo5bo9b2o30bo$41b7o22b3obo11bobo$71bo3bo10b2o$42b5o25bo2b2o9bo$42bo3bo26b4o3b2o$43bobo28b2obo2b2o$44bo31b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 18 ZOOM 16 WIDTH 1560 HEIGHT 560 ]] (click above to open LifeViewer)

spaceships

c/3

Here are the two smallest c/3's (many more in the ikpx2 census) and the one 2c/6

x = 34, y = 53, rule = B3ai4/S23 3b3o8b3o9b3o$3b3o8b3o9b3o$6b2o9b2o10b2o$4b2o2bo6b2o2bo7b2o2bo$3b2o3b2o4b2o3b2o5b2o3b2o$2bo10bo11bo$bo2bo7bo2bo8bo2bobo$2obo7b2obo8b2obo2b2o$13b3o$14bo2bo11b2o$14bo2bo10b4o$16b2o9bo4bo$19b3o5bo4bo$18b2o2bo3bo6bo$18b2o2b2o2bob4obo2$28b4o2$29b2o$29b2o$28bo2bo$28bo3bo$23b3obob2obo$23b2o2bo$22b3o3bo$25bo$26b4o$29bo$26b2ob2o$25b3o$22b2obo2bo$21bo2b2obo$21bo$23bobo$23bobo$22b5o2$23b3o$21b2o3b2o$20b2o2bo2b2o$24bo$22bo3bo$21b3ob3o$19b4o3b4o$19b2o3bo3b2o2$21b3ob3o2$20bo3bo3bo$21b7o$20bo3bo3bo$19b2o2bo4b2o$22bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 6 ZOOM 16 WIDTH 560 HEIGHT 960 TRACK 0 -1/3 ]]

(click above to open LifeViewer)

c/4

x = 19, y = 15, rule = B3ai4/S23 9bo$8bobo$7bobobo$8b3o$7bo3bo$2bo4b2ob2o4bo$bobo2bo5bo2bobo$o3bob7obo3bo$bobo2bo5bo2bobo$4b2o7b2o$3b2o9b2o$3bo11bo$5bob5obo$3bob3obob3obo$3bob3o3b3obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 4 ZOOM 16 HEIGHT 560 TRACK 0 -1/4 ]]

(click above to open LifeViewer)

c/20

The c/20 is the only natural spaceship, and as such the rule is expected to be exceptinally difficult to create guns or circuitry in. It has two variants with beehive pushalongs at different displacements, and two of it can push a blinker in two different ways.

x = 56, y = 43, rule = B3ai4/S23 b3o$bobo$2b2o3b2o$7b2o2$b2o$obo$bo3$b2o14b2o$o2bo12bo2bo$b2o14b2o8$b3o12b3o$bobo12bobo$2b2o3b2o8b2o3b2o$7b2o13b2o2$b2o13b2o$obo12bobo$bo14bo5$41bo$41bo$10bo30bo$b3o6bo6b3o12b3o13b3o$bobo6bo6bobo12bobo13bobo$2b2o3b2o3b2o3b2o8b2o3b2o15b2o3b2o$7b2o3b2o13b2o25b2o2$b2o15b2o13b2o13b2o$obo15bobo12bobo11bobo$bo17bo14bo13bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 20 ZOOM 16 X -1.5 Y -2 WIDTH 1080 HEIGHT 920 TRACK 0 -1/20 ]]

(click above to open LifeViewer)

(8,8)c/58

Found by DroneBetter as a puffer, corderised by Peter Naszvadi, then reduced by him, FWKnightship and DroneBetter into the current minimal known form.

x = 120, y = 98, rule = B3ai4/S23 71b3o$66bo5bo$65bobo3bo$55b3o7bobo2bo$68b3o$54b5ob3o5b2o$52bobo4bo2bo5bo$52bobo5b3o$52bobo$54bo$55bo$56bo5bo$57bo$58b2o3b3obo$58b4ob2ob2o$60b2obo2b2o20bo$47b2o12bo2b2o21b2o$47b2o37bobo$59bo24b2o$58bobo22b2o$58bobo21b3o$59bo13b3o9b2o$73b2o12bo$72bo2bo9b2o$39b2o31bob2o$39b2o32b3o$77bo3b3o$72b3o6bobo15bo$68b2o3b2o6bobo14b2o$67bo2bo3b2o6bo13bo3bo$68b2o4b2o7bo11bo3bo$76bo6bobo8b2o3bo$31b2o44bo5bobo10b3o$31b2o45bo22b2o$79b3o13bo$86bo2b3o4bo$80b2o4b2o9bo$84b3o$85bo3b2o$88bo2bo$23b2o62b2o3bo$23b2o63b6o$89bo3b2o$94b2o$93b2o18bo$93bo19bo$117bo$88bo26b2ob2o$15b2o70bobo24bo3bo$15b2o70bobo20bo3bo$88bo22bo2bo2bo$103bo8bo2b2o$102b3o10bo$101b2ob2o$105b2o$23bobo79bobo3bo$7b2o16bo79bo2bo2bo$7b2o13bo2bo71b2o5b2o2bo2bo$13bo4b3o3bo71bo2bo5b3o$12b2o4b2o3bo73b2o7bo3bo$12b2o9bo85b3o$2bo10bo6b3o85b2ob2o$bob2o4bo99b3o$o4bo2b3o99bo$o3bo3bob2o$4bo11bo$b3o11b2o63bo6b3o$14bob2o18b2o42b2o4bo3bo$13bo3b2o16bo2bo40b2obo2bo4bo$12b3obob2o15bo3bo20b3o15b2o5bo4bo9b2o$14b2obob3o17bo18bo4bo13b3o5bo3bo10b2o$15b2o3bo13bo4bo11bo6bo5bo10b3o8b3o$16b2obo12b2obo16bo5bo5bo11b6obo$10b2o5b2o14b2ob3o20bo2b2o13b3o4bo$17bo15bo24bobo17bo5bo$9bo2bo19b2o13bo8b4o20bo3bo$24b3o19b3o2b6o2bo21b3o$10b2o12bobo20bo3b2ob2o36b2o$25b2o25bo2bo36b2o$33bo17bobo$34b4o13b2o$30bo4b2o14bo13b2o$30bo22b3o9b2o10b2o$31bo21bobo21b2o$30b2obo20b2o$30b2o6b2o44b2o$31b2o5b2o10b2o28bo3b2o$33bo16b2o$32bobo43bo$31bo2bo22b2o15b2ob2o2b2o$31b3o23b2o16b2obobo$50b2o30bo$49bo2bo$30b2o14bo3b2o$17bob2o9b2o13b3o$16bo28bobo$16bo2b2o26bo$17bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 4 AUTOSTART GPS 58 ZOOM 16 X -3.5 WIDTH 2160 HEIGHT 1920 TRACK 8/58 -8/58 ]]

(click above to open LifeViewer) Catagolue: here

ikpx2 spaceship search status

Herein, by ikpx2's convention, width of symmetric spaceships is defined as that of the part being searched, reduced under symmetry.

Note that ikpx2 makes no guarantee of its searches' exhaustiveness before moving onto higher widths, this is only a guide to future ikpx2 searchers (maybe only my future self).

Velocity	Width
(1,0)c/5	10 (asymmetric), 11 (even/odd)
(1,0)c/6	8 (asymmetric), 9 (even/odd)
(1,1)c/4	21 (asymmetric), 22 (even/odd)
(1,1)c/6	13 (any)

external links

• b3ai4s23 (discussion thread) at the ConwayLife.com forums

• B3ai4/S23 at Adam P. Goucher's Catagolue