OCA:Hatlife

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hatlife
x=64, y = 64, rule = B35y/S23 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 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 23/35y
B35y/S23
Character Chaotic
Black/white reversal B0123478/S0123-y4678

hatlife is one of the rules one transition away from Conway's game of life.

Patterns

Still lives

Due to the B5y transition all still lifes in hatlife work in Conway's game of life, but some still lifes in Life are broken by extra on cells.

x = 4, y = 3, rule = B35y/S23 b2o$o2bo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART LOOP 28 GPS 5 T 26 PAUSE 1 ]]
The beehive turns into interchange
(click above to open LifeViewer)
x = 5, y = 4, rule = B35y/S23 2bo$bobo$bobo$2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART LOOP 3 GPS 10 TRACK 0 -1/3 ]]
The hat becomes a c/3o spaceship, which is also the "hat" in the rule name hatlife.[1]
(click above to open LifeViewer)
Catagoluehere
x = 175, y = 58, rule = B35y/S23 bo$obo$obo$bo7$3bo$b3o$o$b3o$3bo6$bo$obo$obo$bo$2b3o$4bo5$3bo$b3o$o$b 3o$4bo$3b2o5$bo9bo8b2o8b2o9bo9b2o8b2o9bo$obob2o4bobo7bobo7bo2bo6bobo7b o2bo6bo2bo7bobo$obobo5bobo10bo7b2obo5bobo8b2obo5b3obo5bobobo$bo2bo6bo 9b2obo8bobo5bob2o9bo8bo6bobobo$4b2o6b3o5bo2bo9bobo6bo2bo5b3o8bo8bobo$ 15bo5b2o11bo8b2o6bo10b2o8bo$14b2o4$bo9bo9bo9bo8b2o9b2o7b2o11bo6bo10b2o 10bo6bo9b2o9bo8bob2o6b2obo7bo9bo$obo7bobo7bobo7bobo7bobo7bobo7bo10b3o 6b3o7bo2bo7b3o6b3o7bobo7bobo7b2obo6bob2o6bobo2bo4bobo$obo7bobo7bobo7b obo8bo9bo9b3o6bo12bo6b3obo5bo12bo8bo7bobo27bob4o4bobo$bo9bo9bob2o6bob 2o7b3o7b3o9bo6b3o6b3o10bo7b3o6b3obo6b2obo6b2obo5b3o8b3o7bo9bob2o$2b3o 7b3o7bo2bo6bo2bo9bo9bo5b3o10bo5bo11bo11bo5bo2bo9bobo7bobo4bo2bo7bo2bo 8bo9bo$5bo9bo7bobo8bobo5b3o7b3o5bo12bo7bobo7bo9b3o7b2o10bobo7bobo5b2o 9b2o8b2o7bobo$4bo9bobo7bo10bo6bo9bo7b2o10bo9b2o7b2o8bo22bo9bo36b2o$4b 2o9bo56b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 WIDTH 800 ]]
The still lifes that are broken by B5y transition, up to 13 cells
(click above to open LifeViewer)


Oscillators

x = 366, y = 262, rule = B35y/S23 3bobobo52bo2bobobo22bo45bo182bobo15bobo$14b2o73bobo42bobo182b2o17b2o$ 7bo6bo4b2o39bo2bo24bo3bo44bo92bo15bo73bo17bo$15b3o2bo68bo3bo39bo3b3o89b obo13bobo$3bobobo10b2o40bo2bobobo22bo3bo36b3obo94bo15bo$15b3o73bo3bo34b obo4b2o2bo$3bo10bo2b3o40bo2bo3bo24bobo35b2o8b2o$14b2o4bo72bo67bobobo2b obobo153b3ob3o$3bobobo11b2o39bo2bobobo52b2o205bo3bo$120bobo38bo10bo15b obo15bobo$110bo11b3o10bo52b2o17b2o$109bobo9bo3bob2o5b3o24bobobo2bobob o16bo17bo$108bo3bo8b2obo5bo2b2ob2o$94b3o10bo3bo12bo5bo3b3o28bo2bo137b obo41bobo$93bo3bo8bo3bo10b2obo5bo4bo170b2o43b2o$92bo5bo6bo3bo11bo3bob 2o32bobobo2bobobo134bo19bo3bo19bo$91bo7bo6bobo13b3o10b2o7bo50b3ob3o33b 3ob3o84b3ob3o$83bo7bo7bo7bo12bobo7b2obo5bo2bo2bo50bo3bo35bo3bo$82bobo 6bo7bo20b2o8bo8bo2bo2bo127b3o$3bobobo9bo63bo3bo6bo5bo26b2o4b2o6bo3bo127b obo$15b3o62bo3bo8bo3bo27bo2b3o2b8o130bob4o$7bo6bo5bo58bo3bo10b3o29bob o2bo8bo130b4obo$14bob5o57bo3bo44bo2bo9bo133bobo$3bobobo7b2o62bobo46b2o 142b3o$17b4o59bo54b3o58bo3bo35bo3bo$7bo7b2obo2bo173b3ob3o33b3ob3o$14b o3bobo272bobo5bo16b2o19b2o16bo5bobo$3bobobo6b2ob2ob2o75bo195b2o5b2o3b o11bo3bobo11bobo3bo11bo3b2o5b2o$96bobo195bo6b5o12b4obo11bob4o12b5o6bo $95bo3bo$96bo3bo88bo17bo86bo6b5o12b4obo11bob4o12b5o6bo$97bo3bo86b2o17b 2o84b2o5b2o3bo11bo3bobo11bobo3bo11bo3b2o5b2o$98bo3bo85bobo15bobo84bob o5bo16b2o19b2o16bo5bobo$99bobo$100bo3$230bo15bo$229bobo13bobo$3bo3bo9b 2o3b2o206bo15bo$17bobobobo$3bo3bo11bobo67b2o6bo$14b2o3bobo3b2o62b2o6b o228b3ob3o$3bobobo6bo5bo5bo280bo19bo3bo19bo$15b3o5b3o82bo197b2o43b2o$ 7bo10bo3bo59b3o4bo6b2o2bo6bobo196bobo41bobo$15b3o5b3o56b3o3bobo5b2obo bo6bo6b3o$7bo6bo5bo5bo55b3o6bo15bo7b3o$14b2o3bobo3b2o52b3o6bobo15bobo 6b3o$19bobo57b3o7bo15bo6b3o$17bobobobo55b3o6bo6bobob2o5bobo3b3o212bo3b o$17b2o3b2o63bobo6bo2b2o6bo4b3o211b3ob3o$88bo2$99bo6b2o53bobobo2bobob o36bo$99bo6b2o100bobo3b2o4bo$161bo10bo36bo3bobo4b2o98bo17bo$213bo11b2o 92b2o17b2o$161bobobo2bobobo25b2o11bob2o6bobo2bo92bobo15bobo$14b2o2b3o 177b2o3b3o8b2ob3obob2o$3bobobo6bobobo142bo3bo6bo30bo2bo6b2o6bobo$15bo 191bo4b2o4bo2bobo$3bo12bobo142bobobo2bobobo34bo10bob2ob2o$21bo183bo8b 2obo3bo$3bobobo8bob3obo37bo2bobobo21b2o6b2o103b2obo7bobobobobo$15bo2b 2o2bo15bo50b2o6b2o106b2o6b2o3b2ob2o$7bo8b2obo17bobo20bo2bo3bo134b2o2b 2o$18bo19bo54b2o92b2ob2o3b2o6b2o$3bobobo11bobob4ob4obobo24bo2bobobo24b o2bo92bobobobobo7bob2o$16bo19bo46b2o6bo4bo6b2o83bo3bob2o8bo$15bobo17b ob2o21bo2bo3bo15b2o7bo2bo7b2o80b2ob2obo10bo$16bo15bo2b2o2bo43b2o8b2o8b 2o81bobo2bo4b2o4bo$32bob3obo21bo2bobobo16bo18bo82bobo6b2o6bo2bo$33bo49b obo3b2o6b2o3bobo80b2obob3ob2o8b3o3b2o$36bobo39b3obobo4b2o6b2o4bobob3o 73bo2bobo6b2obo11b2o$39bo38b4obo20bob4o73b2o11bo$36bobobo41bo22bo82b2o 4bobo3bo$34b3o2b2o148bo4b2o3bobo$200bo3$3bobobo12bo$20bo68b2o6b2o3b2o 6b2o3b2o6b2o$3bo16b3o66b2o6b2o3b2o6b2o3b2o6b2o$19bo2bo$3bobobo10bo74b 2o11b2o11b2o$15b3o3bo2b2o66bo2bo9bo2bo9bo2bo$3bo3bo9bo2bobo2bo57b2o6b o4bo7bo4bo7bo4bo6b2o$17b2o2bo3b3o55b2o7bo2bo9bo2bo9bo2bo7b2o$3bobobo16b o58b2o8b2o11b2o11b2o8b2o$20bo2bo60bo44bo$20b3o60bobo3b2o6b2o3b2o6b2o3b 2o6b2o3bobo$22bo55b3obobo4b2o6b2o3b2o6b2o3b2o6b2o4bobob3o$22bo55b4obo 46bob4o$82bo48bo6$203b2o3b2o$86b2o115bobobobo$60bobobo2bobobo13bobo117b obo$3bobobo77bo118b2ob2o$64bo2bo3bo10b2ob2o4b2o$7bo72bo2bo2bo3bobo103b 2o17b2o37bo$60bobobo2bobobo8b2o4b2o2bo106bo4bo7bo4bo37b3o14bo14bo$7bo 78b5obo101bo6b2o7b2o6bo33bob3o13b3o10b3o$60bo6bo3bo14bo3b3o101b2o6bo7b o6b2o32bo3bo17bo8bo$7bo77bo6b2o5bo61bobobo2bo3bo77bo3bo10b2o5b2o8b2o$ 60bobobo2bobobo13b2o4b3o4b3o4b2o142b3obo12bo$7bo77bo6b2o10bo2bo53bo6b o3bo77b3o13bobo$86bo3b3o10bobobo88bo19bo34bo15b2o$86b5obo10bo2bo54bob obo2bobobo22b3o17b3o61b3o$80b2o4b2o2bo11bo86b2o31b2o21b3o31bobo$80bo2b o2bo3bobo10bobo55bo3bo6bo16bo2bo27bo2bo21bobo31b3o$82b2ob2o4b2o97b3o27b 3o22b3o39b2o$85bo75bobobo6bo91b2o21bobo$85bobo102b3o27b3o42bo23bo$3bo bobo8bo2bo10bo4bo50b2o101bo2bo27bo2bo41bobo21b2o$15b2o2b2o8bo6bo152b2o 31b2o15b3o5b2o17b2o$3bo3bo7bo4bo8bo6bo158b3o17b3o21bobo6bo29b3o$28b2o 6b2o158bo19bo22b3o3bo32bobo$3bobobo22bo4bo209b2o31b3o$235bo50b2o$3bo3b o22bo4bo198b3o49bobo$14bo4bo8b2o6b2o156b2o6bo7bo6b2o14bob3o50bo$3bobo bo6b2o2b2o9bo6bo157bo6b2o7b2o6bo13bo3bo34b2o8b2o5b2o$15bo2bo10bo6bo160b o4bo7bo4bo15bo3bo36bo8bo$30bo4bo160b2o17b2o13b3obo34b3o10b3o$60bobobo 2bobobo8bo11bo138b3o35bo14bo$80bo5bo5bo111b2ob2o23bo$64bo2bo3bo7bobo3b 3o3bobo111bobo$80bo4b3o4bo110bobobobo$60bobobo2bo3bo8bo11bo110b2o3b2o $80bo11bo$64bo2bo3bo8bo11bo$79bobo9bobo$3bobobo52bobobo2bobobo8bo11bo $80bo11bo$3bo3bo2$3bobobo2$7bo$313b2o26b2o$3bobobo305b2o26b2o2$275bo6b o2bobobo2$275bo6bo6bo2$60bobobo2bobobo18b2o9b2o172bo6bo2bobobo$90b2o9b 2o$64bo6bo203bo6bo2bo$160bobobo2bobobo145b2o5bo6bo5b2o$60bobobo2bobob o12b2o21b2o93bo72bo6bo2bobobo26bo2bo3b2o6b2o3bo2bo$82bob2o3b3o9b3o3b2o bo53bo2bo3bo29b2o113bobo5bo6bo5bobo$64bo2bo13bo7b3o9b3o7bo80bobo7bo114b o20bo$84bo5b2o9b2o5bo55bo2bobobo20bobo$o2bobobo20b2o30bobobo2bobobo8b 2obo25bob2o80bo$27bo2bo49b2o7bo13bo7b2o51bo2bo3bo145bo20bo$o2bo3bo80b obo4b3o4bobo211bobo5bo6bo5bobo$19bo69bo5b3o5bo60bo2bobobo144bo2bo3b2o 6b2o3bo2bo$o2bo3bo10bo3bo3bo2bo287b2o5bo6bo5b2o$18bo4bo2b3o60bo5b3o5b o$o2bo3bo11bo3bo64bobo4b3o4bobo98bo$22b2o56b2o7bo13bo7b2o89bobo$o2bob obo20b2o50b2obo25bob2o81bo7bobo$28bo3bo51bo5b2o9b2o5bo85b2o$23b3o2bo4b o47bo7b3o9b3o7bo82bo$22bo2bo3bo3bo48bob2o3b3o9b3o3b2obo$32bo51b2o21b2o $313b2o26b2o$21bo2bo288b2o26b2o$22b2o66b2o9b2o$90b2o9b2o4$24b2o3b2o$24b 2o3b2o4$24b2o3b2o29bobobo2bobobo37bo5b2o$24bobobobo79bo4bo2bo$24bobob obo33bo2bo37b2o2bo$o2bobobo8b2o3b3obo3bob3o3b2o65bo2bobob2o116b2o$16b 2o3bo2bo5bo2bo3b2o21bobobo2bobobo31bo4b2o2b2o4bo110bo$o6bo14b2o7b2o76b 2obobo2bo112bo$64bo6bo25b3o12bo2b2o44bobobo2bobobo56b2o44bo2bobobo2bo bobo$o2bobobo14b2o7b2o70bo2bo4bo$16b2o3bo2bo5bo2bo3b2o21bobobo2bobobo 17b2o4bo5bo3b2o5bo48bo3bo2bo3bo102bo6bo6bo28b3o$o6bo8b2o3b3obo3bob3o3b 2o50bobo3bo5bo216b3o4bobo$24bobobobo59bo4bo5bo59bobobo2bobobo64bo10b2o 25bo2bobobo6bo28bo6b2ob3o$o2bobobo16bobobobo66b3o136b2o8bo2bo67bo2bo4b o3b2o$24b2o3b2o134bo2bo3bo28bo35bo8b2o27bo2bo10bo28bob2o4b2ob2o$97b3o 100bobo114b3o6bo$95bo5bo4bo54bobobo2bobobo22b2o3bobo72bo2bobobo6bo$95b o5bo3bobo86bo2bo3bo26b3o$24b2o3b2o53bo5b2o3bo5bo4b2o87b2o32bo5bo$24b2o 3b2o54bo4bo2bo140bobo83bo6b3o$80b2o2bo12b3o102b2o31bo5bo74b2ob2o4b2ob o$79bo2bobob2o109bo3bo2bo35b3o73b2o3bo4bo2bo$78bo4b2o2b2o4bo102bobo3b 2o112b3ob2o6bo$84b2obobo2bo103bobo120bobo4b3o$87bo2b2o105bo35bo92b3o$ 78bo2bo4bo136b2o8b2o$80b2o5bo135b2o8bo4$240b2o$240b2o$242b2o$o2bobobo 9b2o2b3o7b3o2b2o204b2o$17bobo15bobo$o2bo14bo17bo$19b2o13b2o24bo3bo2bo 3bo26bo$o2bobobo12b2ob2o5b2ob2o61b3o$20bo4bo3bo4bo25bo3bo2bo3bo23bo$o 6bo11bo4bo5bo4bo50bo8b2o$19b2o3bo5bo3b2o24bobobo2bobobo8b2o2b3o$o2bob obo15bo7bo48bo2bo$22b2o3bo3b2o31bo6bo9bobob2o$19bo7bo7bo46bobobo6bo$18b obo6bo6bobo27bo6bo12bo8b3o9bo$19bo7bo7bo47bo2bo9bo8b3o2b2o$27bo55bo9b 4o11bo2bo$83bo3bob2obo2b3obo5b2obobo233bo$27bo55bo3bo4bo5b3o4bobobo161b obobo2bobobo2bo3bo54bo$27bo55bo5b2obo5b2o7bo236bo$27bo55bo2bo3b2o8b2o 3bo2bo166bo2bo3bo2bo3bo54bo$27bo56bo7b2o5bob2o5bo88bo146bo2b6o$27bo54b obobo4b3o5bo4bo3bo88b3o71bobobo2bobobo2bobobo30b2o5b2o15bo$22b3o5b3o48b obob2o5bob3o2bob2obo3bo84b2o5bo120b2o3b2o$23bo7bo48bo2bo11b4o9bo49bo2b obobo2bobobo21bo4b2o70bo17bo28bo2bobobobo2bo17bo$23bo7bo48b2o2b3o8bo9b o2bo85bobo85bo35b3ob2ob2ob3o9b6o2bo$22b3o5b3o53bo9b3o8bo50bo2bo3bo2bo 3bo22b2o8b2o3bo60bobobo2bobobo6bo29bobobobobobo18bo$98bo6bobobo95b3ob ob2o107b3o3b3o19bo$22b3o5b3o72b2obobo47bo2bo3bo2bobobo32b3o140bo$22b3o 5b3o75bo2bo96bo5bo105b3o3b3o19bo$105b3o2b2o46bo2bo3bo2bo3bo36bo4bo104b obobobobobo$22b3o5b3o62b2o8bo103bo5bo102b3ob2ob2ob3o$23bo7bo64bo61bo2b obobo2bobobo30bo6b2o2bo103bo2bobobobo2bo$23bo7bo61b3o107bo8bo108b2o3b 2o$22b3o5b3o60bo108bobo8b2o105b2o5b2o$203bo9b3o$203bo9b3o$207bo$205b2o b2o$207bo2$217b2o$217bobo$219bo$219b2o$215b2o$215bo$216b3o$218bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 1000 WIDTH 1400 ]]
Alien oscillators collection
(click above to open LifeViewer)

Spaceships

The xWSS, glider, 58P5H1V1, 46P4H1V0, and 37P4H1V0 work in this rule.[2]

Spaceships of speed c/2o, 2c/5o, c/3o, 2c/7o, c/4o, c/5o, c/6o, c/7o, c/4d, 3c/16d are known.

x = 159, y = 60, rule = B35y/S23 153bo$bo19bo9bo3bo12bo13bo12bo5bo3bo5b3o7b3o4b3o3b3o4bo9bo10bo8bob2o$ 3o17b3o7b3ob3o10b3o11b3o10bobo3b3ob3o4bobo7bobo7bobo6b2o2b2ob2o2b2o8b obo11bo$ob2o4bo5bo4b2obo6b2obobob2o7b4ob2o8bo3bo9bobo5bobo6b3o7b3o15b o3bobobobo3bo18b2o$b3o3b3o3b3o3b3o6b2o7b2o5b2o5bo8b2ob2o8b2ob2o4bobo6b 2o9b2o8bo7bob2obobob2obo8b3o8b2obob2o$b2o3b2obo3bob2o3b2o7bo7bo5bo17b obo17b2ob2o23b3ob3o7bobobobo9bo5bo8bo3bo$28bobo5bobo9b3o6b5ob5o23bo11b o5b2o3b2o7bobobobo8bobo3bobo9b3o$28bobo5bobo4bo4b2o6b2o3bobo3b2o23bo9b o19b2obobob2o6bo2bo3bo2bo$27b2o9b2o3bobo10bo4bobo4bo53bo2bobo2bo7b2o5b 2o$27bobo7bobo3bobo11b2obo3bob2o25b2o5b2o18bob4ob4obo$29b2o5b2o7bo12b o7bo23b2ob2o5b2ob2o14b2o3b2ob2o3b2o$29bobo3bobo5bobo2b3o5b2o9b2o23b3o 2bo2b3o$31b2ob2o7bobo2bo2bo3b2obo7bob2o23b2ob3ob2o22bo3bo$30bo5bo5bob o3bo2bo3b5obobob5o53bobobobo$32bobo21bob2o2bo2b2obo24bo3bo3bo21bobobo bo$32bobo26bobo58bo2bobo2bo$31b2ob2o19b3o4bo4b3o22b2o2bobo2b2o20bobob obo$54b6obobob6o20bobo3bo3bobo21bobo$54b2ob5ob5ob2o54bobo$60bo3bo59b2o b2o$124bo3bo$123bo5bo$122b2o5b2o$121b2o7b2o$120b3o7b3o$120b3o7b3o$123b o5bo$120bo3bo3bo3bo2$120b2obo5bob2o$121b2o7b2o$119b2o3b2ob2o3b2o$119b o3bobobobo3bo$123bo5bo$122b2o5b2o$123b7o$118b3o4b3o4b3o$120bo4b3o4bo2$ 120bo11bo2$118bob2o9b2obo$118bo2b2o7b2o2bo$121bo2b2ob2o2bo$119bobobob obobobobo$118b4obo5bob4o$118b2o2bo7bo2b2o$119bo13bo$118b2o2bo7bo2b2o2$ 122b2o5b2o$123bo5bo$123b3ob3o$123bobobobo$122b2obobob2o$121bo3bobo3bo $120b2obobobobob2o$120b2obobobobob2o$124b2ob2o$124b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 1400 ]]
Alien spaceship collection
(click above to open LifeViewer)

The c/3o, 2c/6o, c/4o, and c/6o are all smaller than the smallest CGoL spaceships of those speeds.[2]


Linear growth

The natural period-52 can be made into a gun, which can make guns for the other spaceships:

x = 22, y = 38, rule = B35y/S23 bo15bo$obo13bobo$bo15bo10$6b2o3b2o$4b2obo3bob2o$4b2o7b2o$4b2obo3bob2o $6b2o3b2o5$6b2o3b2o$4b2obo3bob2o$4b2o7b2o$4b2obo3bob2o$6b2o3b2o$20b2o $19bobo$21bo7$bo$obo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 800 AUTOSTART GPS 15 LOOP 52 ]]
The p52 gun with minimum bounding box. [3]
(click above to open LifeViewer)
x = 65, y = 77, rule = B35y/S23 9b2o20b2o$10b2o18b2o$9bo22bo5$16bo8bo$16b2o6b2o$16bo8bo2$16bo8bo$16b2o 6b2o$16bo8bo3$31b2o$2o28bo2bo$2o3bo26bo$4bobo$5bobo28bo$7bo28b3o$7b2o 29b2o$36b3o$36bo7$22b2o$23b2o$22bo2$50b2o$49b2o$51bo7$9b2o$10b2o$9bo2$ 63b2o$62b2o$64bo$16bo8bo$16b2o6b2o$16bo8bo2$16bo8bo22bo8bo$16b2o6b2o22b 2o6b2o$16bo8bo22bo8bo2$48bo8bo$48b2o6b2o$48bo8bo$9bo$10b2o$9b2o2$64bo $62b2o$63b2o$15b2o$15bo$16b3o$18bo$57b2o$58bo$55b3o$55bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 800 AUTOSTART GPS 15 LOOP 52 ]]
The p52 hat gun. [4]
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x = 175, y = 39, rule = B35y/S23 138bo$139bo$137b3o4$163bobo$2bo160b2o$bo146bo15bo$b3o82bo59bobo$87bo59b 2o$85b3o6bo$92bobo78bo$3o90b2o77bo$2bo169b3o$bo2$7b3o84bo$7bo87b2o$8b o85b2o61b2o$156bo2bo$140b2o14b2obo$141b2o5bo8bob2o$37b2o57b3o41bo8bo7b o2bo$35b2ob2o58bo48b3o8b2o$35b4o58bo$36b2o2$143bo$143b2o$142bobo4$144b 2o$145b2o$144bo26b3o$171bo$172bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 400 WIDTH 1200 ]]
The glider syntheses for the hat, the 2c/6o,[4] the 3c/16d[5] guns.
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Other periods are also known.

x = 82, y = 110, rule = B35y/S23 55bo$44bo4b2o3bobo$43b2o4bobo3bo$38b2o11bo$38bo2bobo6b2obo11b2o$40b2o bob3ob2o8b3o3b2o$41bobo6b2o6bo2bo$41bobo2bo4b2o4bo$3bobobo2bobobo25b2o b2obo10bo$43bo3bob2o8bo$3bo10bo28bobobobobo7bob2o$42b2ob2o3b2o6b2o$3b obobo2bobobo42b2o2b2o$60b2o6b2o3b2ob2o$3bo3bo6bo42b2obo7bobobobobo$60b o8b2obo3bo$3bobobo2bobobo47bo10bob2ob2o$62bo4b2o4bo2bobo$58bo2bo6b2o6b obo$45bobo3b2o5b3o8b2ob3obob2o$44bo2bo2bo2bo12bob2o6bobo2bo$43bo9bo14b o11b2o$42b4o4bo2bo10bo3bobo4b2o$40b2o3b4o3b2o9bobo3b2o4bo$40bo2bo4b4o 12bo$40bo9bo$40bo2bo2bo2bo$41b2o3bobo29$3bobobo2bobobo$69b2o$3bo3bo2b o3bo56bo$69b2o$3bobobo2bobobo$77bobo$7bo2bo3bo62bobo$72bo5bo$3bobobo2b obobo56bobo$66bo5bo$65bobo$44bo20bobo$43bobo$43bobo3b2o23b2o$44bo3bo2b o21bo$49b2o23b2o2$42b2o$41bo2bo3bo$42b2o3bobo$47bobo$48bo17$o2bobobo2b obobo2$o2bo3bo2bo3bo32b2o3bo$47b3obob2o$o2bo3bo2bobobo32b3o$50bo5bo$o 2bo3bo2bo3bo36bo4bo$51bo5bo$o2bobobo2bobobo30bo6b2o2bo$45bo8bo$44bobo 8b2o$45bo9b3o$45bo9b3o$49bo$47b2ob2o$49bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 800 ]]
Guns of periods 63[6], 98[7], and 108[8].
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Puffer 2 works in this rule, eventually becoming a blinker puffer.[1]

x = 18, y = 23, rule = B35y/S23 2bo13bo$b3o11b3o$2obo5bo4b2obo$3o5b3o3b3o$b2o5bob2o3b2o4$11bo$9b3o$10b o$7bo2bo$7b3o5$7b2o$7b2o4$4b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 800 WIDTH 600 ]]
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References

  1. 1.0 1.1 Period1GliderGun (June 22nd, 2022). B35y/S23 (hatlife) (discussion thread) at the ConwayLife.com forums
  2. 2.0 2.1 Period1GliderGun (July 30th, 2022). Re: B35y/S23 (hatlife) (discussion thread) at the ConwayLife.com forums
  3. Period1GliderGun (December 13th, 2024). Re: B35y/S23 (hatlife) (discussion thread) at the ConwayLife.com forums
  4. 4.0 4.1 FWKnightship (June 22nd, 2022). Re: B35y/S23 (hatlife) (discussion thread) at the ConwayLife.com forums
  5. EvinZL (July 18th, 2026). Re: B35y/S23 (hatlife) (discussion thread) at the ConwayLife.com forums
  6. hotcrystal0 (August 16, 2026). Re: B35y/S23 (hatlife) (discussion thread) at the ConwayLife.com forums
  7. Period1GliderGun (July 17th, 2022). Re: B35y/S23 (hatlife) (discussion thread) at the ConwayLife.com forums
  8. Period1GliderGun (January 31st, 2023). Re: B35y/S23 (hatlife) (discussion thread) at the ConwayLife.com forums