p5760 unit Life cell

p5760 unit Life cell
x = 499, y = 499, rule = B3/S23 2o495b2o$obo493bobo$bobo491bobo$2bo493bo8$191b2o$191bo$178bo10bobo103b 2o$177bobo9b2o104bo$136bo38b2o3bo106bo5bobo$134b3o33b2o3b2o3bo105b4o3b 2o$133bo36b2o3b2o3bo104b2obobo$133b2o42bobo94b2o8b3obo2bo$178bo95b2o9b 2obobo$286b4o$131bo155bo$130bobo$129bo3bo$130b3o250b2o$128b2o3b2o248b 2o9$382b3o$381bo3bo$131b2o247bo5bo83b2o$131b2o247bo5bo83b2o$383bo$381b o3bo$366b2o14b3o$366b2o15bo2$380b2o$381bo$378b3o$366b3o9bo$366b3o$365b o3bo99b5o$402bobo63bob3obo$364b2o3b2o23b3o5bo3bo62bo3bo$389b2o2bo2bobo 7bo63b3o$387bo2bo2b2o7bo4bo4b2o57bo$386bo8bo10bo5b2o$386bo11b2o2bo3bo$ 386bo9bo5bobo$380b2o5bo2bo5b2o75bo$379bobo7b2o3bobo76bo$379bo14b3o69bo 5bobo$369b2o7b2o86bobo2b2ob2o$369bo96b2o2bo5bo$370b3o100bo$372bo97b2o 3b2o$413b2o21b2o$401b3o2bo5bo3bo19b2o$397bo3bo9bo5bo3b2o$395bobo4bo8bo 3bob2o2b2o$393b2o16bo5bo$30bo362b2o17bo3bo$30b3o200bo159b2o18b2o$33bo 197bobo37bo30bo86b2o4bobo$32b2o189b2o4b2o40b3o28b3o83bobo6bo$223b2o4b 2o43bo30bo82bo78bo8bo$229b2o31b2o9b2o29b2o81b2o45b2obob2o25b2o7b3o$34b 3o194bobo8b2o18b2o200bo3bo5b5o$34b3o196bo8bobo189bo5bo22bob2o6bobobobo $33bo3bo206bo61b3o147b2o5bobo7b2o3b2o$32bo5bo187bo17b2o60b3o126b2ob2o 15bobo$33bo3bo187bobo77bo3bo127bo17bo$34b3o178b2o6b2o3bo44b2obob2o174b 2o8b2o7b2o$214bobo4b2obo3bo44bo5bo24b2o3b2o133bo19b2o7b2o$213b3o4b3obo 3bo45bo3bo150b2o12bo28bo$204b2o6b3o4bo2b2obobo8b2o37b3o144b3o4b2o12b3o 6b2o18b3o$204b2o7b3o4b2o4bo9bobo182b5o6b2o18b2o22bo$214bobo21bo20b2o3b 2o154bobo3bo5b3o37b5o$215b2o21b2o180b2o3bo6b2o7b3o30b2o$260bo3bo147b2o 15b2o$32b2o195bo31b3o149bo15b2o$33bo193bobo31b3o149bobo7bo47b2o3b2o$ 30b3o195b2o44bo34b2o103b2o7bobo46b5o$30bo242bo35bo116b2o4b2o18bo19b2ob 2o$223b2o48b3o34b3o95b2o16b2o4b2o17b3o18b2ob2o$138b2o82bobo87bo95b2o 16b2o22b5o18b3o$139bo72bo11bo198bobo23bobobobo$139bobo9bo60bobo45bo 162bo25b2o3b2o$140b2o8b2o49b2o12b2o9b2o31b3o$42bo106b2o4b2o44b2o12b2o 9b2o31b3o14b5o$42b3o103b3o4b2o2b2o54b2o6b2o42b2o6bob3obo$45bo103b2o4b 2o2b2o51bobo7b3o32b2o3b2o3b2o7bo3bo127b3o62b2o$44b2o104b2o60bo10b2o32b 2o3b2o13b3o127b2ob2o61b2o$151bo74b2o5b2o43bo128b2ob2o18b2o22b2o$226b2o 5bobo171b5o17bobo22bo$235bo8bo29bo5b2o124b2o3b2o17bo24b3o$235b2o5bobo 27bobo5bo159bo16bo$226bo16b2o28b2o6b3o156b2o$226bobo33b2o19bo151b2o4b 2o$44b2o3b2o158b2o18b2o31bo147bo24b2o4b3o7b2o$47bo159bo3bo17b2o32b3o 144bo20bo3b2o4b2o8b2o$44bo5bo155bo5bo16b2o34bo145bo18b3o7b2o$45b2ob2o 151b2o2b2obo3bo8bo4bobo4b2o168b2o24bo3bo6bo$46bobo152b2o3bo5bo9bo3bo6b obo165bo2bo5bo13b2o2bob3obo$47bo159bo3bo5bo2b3o12bo164bo9bo13b2o3b5o$ 47bo67bo93b2o24b2o155b2o6bo13b2o$114bobo275b2o6bo12bobo8bo$115bobo283b o2bo9bo8bobo$116bobo104b2o178b2o18bobo$117b2o103bobo199bo$46b2o176bo4b o29bo29bo$46b2o179bobo27bobo27bobo$120b3o105b2o28b2o28b2o131b2obob2o$ 122bo85bobo210bo5bo$121bo85bo2bo3b2o206bo3bo$198b2o6b2o5b3ob2o2b2o200b 3o4b2o$125b2o71b2o4b2o3bo3bo3bo3bobo206b2o$125bobo78b2o5bobo8bo$126bob o78bo2bo2b2o6bo2bo$127bobo78bobo13bo$128bo92bobo6b2o$221b2o7bobo193b2o $232bo148bo4bo39bo$232b2o145b2ob4ob2o38b3o$222bobo156bo4bo42bo$221bo2b o19bo29bo29bo$211bo8b2o20bobo27bobo27bobo$210bobo5b2o3bo19b2o28b2o28b 2o$210b2obo6b2o$198b2o10b2ob2o6bo2bo5b2o$198b2o10b2obo8bobo5bobo154bo$ 210bobo19bo102b2o48bobo$211bo20b2o102bo46b2o$336bobo6bo37b2o$163b2o57b 2o113b2o4bobo37b2o$163b2o57b2o118bobo34b2o4bobo$160b2o10bo4bo163bo2bo 11b2o20bobo6bo$148bobo8b3o10bo4bobo162bobo11b2o20bo$148bo3bo7b2o10bo7b 2o13b2o146bobo31b2o16b2o3b2o$132bo19bo10b2o2b2o11b2o14bo148bo49b2o3b2o $130b4o14bo4bo9b2o2bo2b2o8b2o14bobo5b2o9b3o11bo29bo29bo29bo76b5o19b2o$ 129bobob2o4bo12bo15b4o5bobo4b2o11b2o5bo2bo9bo9bobo27bobo27bobo27bobo 77bobo21bo$124b2o2bo2bob3o5b2obo3bo3bo16bo7bo6bobo21bo7bo5bo5b2o28b2o 28b2o28b2o101bobo6bo$124b2o3bobob2o5b4obo2bobo35bo21bo12b4o172b3o22b2o 4bobo$130b4o6b2o2b2o40b2o20bo11b2obobo200b2o18b2o$132bo36b2o9b2o22bo2b o11b3obo2bo199b2o17bo3bo$25b2o6b2o125bobo5bo2bo2b3o2bo2bo21b2o14b2obob 2o199b2o16bo5bo$24bo2bo4bo2bo124b2o6b3o2b5o2b3o38b4ob3o166b2o31bobo4bo 8bo3bob2o2b2o$24bo2bo4bo2bo125bo9b9o42bo4bobo166bo33bo3bo9bo5bo3b2o$ 24bo2bo4bo2bo134bo9bo48bo163b3o38b3o2bo5bo3bo$25b2o6b2o115bobo17b2o7b 2o48b2o162bo52b2o$151b2o$151bo2$162b4o26b4o26b4o26b4o26b4o26b4o26b4o 26b4o26b4o$161bo3bo25bo3bo25bo3bo25bo3bo25bo3bo25bo3bo25bo3bo25bo3bo 25bo3bo21b2o$136b2o27bo29bo29bo29bo29bo29bo29bo29bo29bo21b2o$137bo23bo 2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo26bo2bo$137bobo4bo 8bo2bo285bo$138b2o3bobo10bo282b4o$141b2o3bo5b2o3bo2bo57b2o206b2o10b4o 9b2o$37b2o102b2o3bo4bobob2o3b4o54bo207bobo9bo2bo9b2o$38bo102b2o3bo14b 4o5b2o35b2o7bobo198b3ob2o4b3o8b4o5bo$35b3o56b2o47bobo5b2o8bo2bo5b2o35b 3o6b2o4b3o27b3o27b3o27b3o102b4o2bo4b3o8b4o4bo$35bo56bo3bo47bo16b4o28bo 15b2obo11bo29bo29bo29bo106b2o4b3o12bo$91bo5bo13b2o47b4o27bobo4b3o8bo2b o10bo29bo29bo29bo112bobo$86b2o2b2obo3bo13b2o47bo29bobo16b2obo213b2o$ 86b2o3bo5bo10b2o74b2o3bo2bo7bo2b2o2b3o$92bo3bo10b3o74b2o4bobo7bo3bo2b 2o$94b2o12b2o81bobo6bo2bo$99bobo9b2o5b2o73bo8b2o$99b2o10b2o5bobo$100bo 19bo$120b2o5$196b2o9b3o11b2o14b3o27b3o27b3o$105b2o9bo71bo7bo2bo9bo11bo 17bo29bo29bo$104b4o7bobo69bo3b2o7bo7bo5bo4bobo16bo29bo29bo$99bobo2bo2b 3o5b2obo68bo5bo6bo12b4ob3o$98bo2bo2b2o9b2ob2o3b2o63b5o7bo11b2obob2o$ 97b2o9bo6b2obo4b2o71bo2bo11b3obo2bo$95b2o3bo8bo5bobo78b2o14b2obobo$67b o16bobo10b2o10bo6bo96b4o$62b3ob2o2b2o12b2o5b2o5bo2bo112bo$62b4o4b2o13b o4bobo6bobo119b2o$66b2o22bo130bo$89b2o119bobo6bobo$208bo3bo6b2o$200bo 7bo$199b4o4bo4bo$198b2obobo4bo13b3o27b3o27b3o$160bo26b2o8b3obo2bo3bo3b o11bo29bo29bo$158b3o26b2o9b2obobo6bobo10bo29bo29bo$157bo41b4o$157b2o 41bo$23bo187bo$19b2o2b2ob3o34b2o144bobo$19b2o4b4o26bo7bobo3bobo138b2o$ 23b2o30b3o5bo5b2o$13b2o15b3o25bo11bo143b2o$13b2o17bo24b2o131b2o22b2o$ 31bo159bo$36bo154bobo6bobo21b2o47b2o$34b3o155b2o5bo2bo3b2o16bo48b3o$ 33bo50bo68b5o31bo8b2o5b3ob2o2b2o7bobo$33b2o49b3o65bob3obo28b3o6b2o3bo 3bo3bo3bobo6b2o13b3o27b3o5b3o$12b3o72bo65bo3bo28bo11b2o5bobo8bo22bo29b o5bob2o$11b2ob2o50bo19b2o66b3o29b2o11bo2bo2b2o6bo2bo21bo29bo6b4o$11b2o b2o50b3o86bo44bobo13bo25b2o$11b5o4b2o47bo143bobo27bo$10b2o3b2o22bo2bob 2obo2bo17b2o143b2o28bobo5bobo$20bo2bo15b4ob2ob4o27b2o8b3o27b2o104b2o 18b2o3bo3bo5b3o$24bo5b3o6bo2bob2obo2bo27bobo6b2ob2o26bo35b2o68bo24bo7b obo2bo2b2o$16bo5bo6bo3bo44bo8b2ob2o24bobo35b2o27b3o4b2o25bo4bobo23bo4b o7b2o2bo2bo15b2o9b2o183b2o$15bob2o9bo5bo52b5o24b2o23bo40bo3bo4bo24bobo 3b2o25bo19bo13b2o9bobo183bo$15bo12bo5bo51b2o3b2o46b3o49bobo5b2o15b2obo 29bo3bo2b3o10bo8bo6bo7b3o174b2o6bobo$79b2o57bo42bo5bo4b2o5bobo14b2ob2o 30bobo15bo7bobo12b3o174bobo5b3o$15b2obo9bo41b3o5bobo57b2o41b2o3b2o14bo 13b2obo45bo2bo6b2o3bo12b3o163b2o7bo6b3o$13bo2bo11b2o39bo3bo6bo5bo112bo 2bo13bobo46b2o8b2o3bo13bobo5b2o155b2o7bo2bo2bo2bo$13bobo12b2o38bo5bo9b 2obo114bo8bo5bo57b2o3bo14b2o5bobo163bo6b2o$27b2o2bo36bo5bo12bo20b2o74b o14bobo7bobo10b3o52bobo24bo164bobo$28bobo76bobo73bobo13b2o9b2o12bo53bo 25b2o164b2o$29b2o43bo9bob2o21bo26bo46bobo37bo$73b2o11bo2bo45b3o47bo$ 14b3o56b2o12bobo44b5o46bo$13bo3bo8b2o3b2o38bo2b2o57bobobobo42bo2bo$12b o5bo7b2o3b2o39bobo58b2o3b2o43b2o32b2o116bo$13bo3bo54b2o38b2o103b2o116b 3o$14b3o11b3o69b3o8b3o40b2o182bo$14b3o11b3o55b3o13bo5bob2o24bo17bo49bo 22b2o108b2o$29bo40b2o3b2o8bo3bo11bo6bo2bo4b3o16bob2o4b2o7bobo49bobo20b o$70b2o3b2o7bo5bo17bob2o5bob2o14bo7bobo6b2o39b2o12b2o9b2o5bobo$85bo3bo 13b2o6b3o3bob2o15bo2bo6bo46b2o12b2o9b2o5b2o$15b2o55b3o11b3o13bobo7b2o 4bobo19bo2bo2bo60b2o6b2o$15b2o55b3o11b3o13bo35b2o6bo57bobo7b3o$73bo19b 2o6b2o40bobo16bo41bo10b2o120b2o3b2o$28b2o54b2o6bobo48b2o15b3o55b2o120b o$28b2o55bo8bo22b2o3b2o35bo58b2o117bo5bo$82b3o35bo38b2o30b2o145b2ob2o$ 70b2o10bo34bo5bo67bo147bobo$71bo46b2ob2o33b3o21bobo6bobo148bo9bobo$68b 3o48bobo34b3o21bo3bo4b2o149bo8bo2bo$68bo51bo34bo3bo24bo163b2o$85b3o32b o33bo5bo9b2o8bo4bo160b2o3bo82bo$87bo67bo3bo10b2o12bo163b2o82b3o$76bo9b o10b2o57b3o21bo3bo164bo2bo5b2o71bo$75bobo19bo19b2o61bobo167bobo5bobo 70b2o$63b2o10b2obo8bobo5bobo20bo241bo47bo$63b2o10b2ob2o6bo2bo5b2o18b3o 13bo70b2o19b2o135b2o44b3o$75b2obo6b2o28bo13bobo43b2o26bo19bo128bo52bo$ 75bobo5b2o3bo39bobo44bo27bobo7b2o6bobo126b3o52b2o22bo$76bo8b2o40bo2bo 10bo26bo4bobo28b2o5bo2bo6b2o126bo77b2ob2o35b2o19b2o$86bo2bo38bobo11bo 24bobo3b2o35bo138b2o117bo19bo$87bobo34b2o3bobo10bo13b2o9b2obo39bo6bo 208bo5bo35bobo6bo8bobo$123bobo5bo35b2ob2o38bo7b2o127bo121b2o6b4o5b2o$ 123bo43b2obo40bo2bo131bobo77b2obob2o45b4o$122b2o43bobo13bo29b2o130bo3b o128bo2bo$168bo12b3o161b5o128b4o$180bo163b2o3b2o49b2o3b2o70b4o$181bo 163b5o51b5o71bo$178bo2bo164b3o52b2ob2o$139b5o33bo169bo53b2ob2o$138bob 3obo31bo3bo221b3o21b2o$139bo3bo34bo248bo$140b3o32bo5bo242b3o$141bo33bo 5bo242bo$176bo3bo219b2o$138b2o37b3o221bo$139bo204b2o52b3o$136b3o13b2o 191bo52bo$136bo15bobo41b2o144b3o$153b3o40bo145bo$154b3o32bo4bobo$153b 3o32b4ob3o50b2o20b2o$145b2o5bobo32b2obob2o53bo20bo$144bobo5b2o32b3obo 2bo53bobo6b2o8bobo$144bo42b2obobo55b2o6bo2bo6b2o$143b2o43b4o12bo55bo$ 161b3o25bo12b3o48bo6bo$160bo3bo36bo49b2o7bo$201b2o53bo2bo$159bo5bo90b 2o$159b2o3b2o5$196b2o3b2o$159b2o36b5o$160bo36b2ob2o$157b3o12bo24b2ob2o $108bo9b2o37bo12b4o24b3o16b2o$107bobo7b4o48bobob2o42bo$106bob2o6bobobo 2bobo42bo2bob3o31bobo5bobo$100b2o3b2ob2o7b2ob2obo2bo41b2obob2o31bo2bo 5b2o$100b2o4bob2o7b2obo5b2o38b3ob4o31b2o$107bobo8b2o4bo3b2o35bobo4bo 30b2o3bo$108bo7b3o7b2o37bo39b2o$118bo4bo2bo5b2o30b2o40bo2bo$116bo6bobo 6bobo72bobo$117b2o15bo$134b2o46b3o$181bo3bo$180bo5bo$180bo5bo$100b2o9b 2o70bo29b2o$100bobo9b2o67bo3bo25bo2bo$91b3ob2o4b3o7bo6bo65bo11bo7bo5bo 7b5o$91b4o2bo4b3o12bobo60bo2bo10b4o5b2o5bo6bo5bo$95b2o4b3o12bo3b2o58bo 12bobob2o4b2o5bo7b2o3bo$100bobo13bo3b2o40bo18bo10bo2bob3o11bo2bo7bo$ 100b2o14bo3b2o40b3o13b3o11b2obob2o14b2o$117bobo3b2o40bo12bo11b3ob4o$ 34bo83bo4bobo38b2o23bobo4bo$34b3o88bo63bo25bo$37bo87b2o41bo19b2o25b3o$ 36b2o130bo49bo$191bo17b2o6b2o$38b3o150b3o15bobo$38b3o123b2o3b2o23bo14b o$37bo3bo123b5o23b2o$36bo5bo123b3o$20bo16bo3bo125bo$20b3o15b3o$23bo 171b3o$22b2o170b2ob2o17b3o$194b2ob2o17bo19b2o$194b5o18bo18b2o$40b2obo 149b2o3b2o$41b2o121b2o$165bo$22b2o3b2o133b3o46b2o23bo$22bo5bo133bo48b 2o11b2o9b3o$224bobo7bo3bo$23bo3bo2b2o192bo8bob3obo$24b3o4b2o8bo192b5o$ 30bo9b3o155b2o$39b5o154bo$38bobobobo154b3o72bobo$38b2o3b2o156bo70bo3bo $231b3o38bo$231bo33b2o4bo4bo$27bo13bo190bo32b2o5bo$25b2ob2o10bobo229bo 3bo7b2o$40bobo231bobo7bobo$24bo5bo10bo244bo$40b2o244b2o$24b2obob2o9b2o 230b2o$40b2o230bo$233b3o28bo5bobo$232bo3bo26bobo4b2o$231bo5bo24bo3b2o$ 231b2obob2o24bo3b2o$262bo3b2o$253b2o8bobo$252bobo9bo$27b2o21b2o200bo$ 27b2o22bo199b2o$51bobo8b2o167b2o$52b2o7bobo168bo$60bo6b2o160b3o$60bo2b o2bo2bob2o156bo$60bo6b2o2b2o$61bobo$62b2o259bo$318bo4b4o$318bo5b4o$ 276bo36b2o9bo2bo$271bo4b4o33b2o9b4o$271bo5b4o42b4o5b2o$266b2o9bo2bo42b o8bobo$266b2o9b4o53bo49b2o$276b4o5b2o47b2o48b2o$276bo8bobo$287bo$287b 2o98bo$386bo$386bo3$79b2o301b2o3b2o$79b3o303bo$81b2obo5b2o290bo5bo$81b o2bo5b2o291b2ob2o$81b2obo299bobo$71b2o6b3o303bo8bo$70bobo6b2o304bo6bob o$70bo320bobo11b2o$69b2o319bo2bo11b2o$107bo283bobo$107b3o282bobo$110bo 283bo16bo$109b2o273bo24b3o$383bobo22bo$112bo271b2o22b2o$111bobo$110bo 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THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 1 WIDTH 600 HEIGHT 600 ]]
View static image
Pattern type	Unit cell
Number of cells	4761
Bounding box	499 × 499
Cell size	500 × 500
Period	5760
Discovered by	David Bell
Year of discovery	1996
Rules Outer-totalistic rules B3/S23 only Important rules Conway Life # of rules 20 = 1 Isotropic rules B3/S23 only
Pattern files Plaintext p5760unitlifecell.cells RLE p5760unitlifecell.rle

The p5760 unit Life cell is the first unit Life cell that was explicitly constructed, and it was finished on January 18, 1996 by David Bell. It is a 500 × 500 square that takes 5760 generations to emulate the behavior of one Life cell.

The existence of this unit cell implies the existence of an infinite number of unit cells, of period 5760ⁿ and size 500ⁿ × 500ⁿ (here n = 1, of course). In practice, this cell is terribly slow, and would still be just an interesting curiosity even if it were fast.

The state is determined by the presence or absence of a glider at every multiple of 5760 generations, in a space in the upper left quadrant that is marked by two long boats. Long boats are also pointing at the corners of the pattern, to aid alignment with other unit cells.

In November 2020, Peter Naszvadi created a custom 10-state ruletable to visualize this unit cell. Besides the state-1 cells that act as in normal Life, each unit cell in this rule has a state-4 cell lying between the two long boats mentioned above. When the glider that represents state passes by, it triggers an explosion cloud in state 6 and 7 that grows quickly, thus visualizing the emulated pattern at a larger, more observable scale.

Image gallery

The presence or absence of a glider at the green circle determines whether or not the unit Life cell is considered "dead" or "alive".

Videos

Click to load content The ON unit cell evolving for 5760 generations into the OFF unit cell

See also

• Deep cell
• OTCA metapixel

External links

• David Bell's Unit Life Cell at Paul Callahan's Page of Conway's Life Miscellany