p5760 unit Life cell

The p5760 unit Life cell is the first unit Life cell that was explicitly constructed, and it was found in January 1996 by David Bell. It is a 500 × 500 square that takes 5760 generations to emulate the behavior of one Life cell.[1]

p5760 unit Life cell
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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 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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

The existence 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.

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
<iframe src='//www.youtube.com/embed/CCAYYk2Q3qA?' width='300' height='169' frameborder='0' allowfullscreen='true'></iframe>
The ON unit cell evolving for 5760 generations into the OFF unit cell
gollark: I assume they will just iterate through the available ones.
gollark: This is the cosmic lemon, of course.
gollark: And here is lemonic metaspace.
gollark: Here is its inverse.
gollark: Actually, that was just a bug, I fixed it.

See also

References
  1. Alan Hensel's lifep.zip pattern collection.
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