{{Pattern|name=p5760 unit Life cell|pname=p5760unitlifecell|c=4761|bx=499|by=499|discoverer=David Bell|discoveryear=1996|life105=true|life106=true|plaintext=true|rle=true}}
{{UnitCell
The '''p5760 unit Life cell''' is the first [[unit cell|unit Life cell]] that was explicitly constructed, and it was found in January [[:Category:Patterns found in 1996|1996]] by [[David Bell]]. It is a 500 × 500 square that takes 5760 [[generation]]s to emulate the behavior of one [[Conway's Game of Life|Life]] [[cell]].<ref>[[Alan Hensel]]'s [http://www.ibiblio.org/lifepatterns/ lifep.zip pattern collection].</ref>
|name = p5760 unit Life cell
|pname = p5760unitlifecell
|c = 4761
|bx = 499
|by = 499
|sx = 500
|sy = 500
|p = 5760
|discoverer = David Bell
|discoveryear = 1996
|rulemin = B3/S23
|rulemax = B3/S23
|rulespecial = [[Conway's Game of Life|Conway Life]]
The '''p5760 unit Life cell''' is the first [[unit cell|unit Life cell]] that was explicitly constructed, and it was finished on January 18, {{year|1996}} by [[David Bell]]. It is a {{times|500|500}} square that takes 5760 [[generation]]s to emulate the behavior of one [[Conway's Game of Life|Life]] [[cell]].<ref>[[Alan Hensel]]'s [http://www.ibiblio.org/lifepatterns/ {{filename|lifep.zip}} pattern collection].</ref>
The existence this unit cell implies the existence of an infinite number of unit cells, of period 5760<sup>n</sup> and size 500<sup>n</sup> × 500<sup>n</sup> (here n = 1, of course). In practice, this cell is terribly slow, and would still be a just an interesting curiosity even if it were fast.
The existence of this unit cell implies the existence of an infinite number of unit cells, of period 5760{{sup|n}} and size {{times|500{{sup|n}}|500{{sup|n}}}} (here {{eq|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 boat]]s. Long boats are also pointing at the corners of the pattern, to aid alignment with other unit cells.
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 boat]]s. Long boats are also pointing at the corners of the pattern, to aid alignment with other unit cells.
==Image gallery==
[[Image:p5760unitlifecell_glider.png|thumb|center|The presence or absence of a glider at the green circle determines whether or not the unit Life cell is considered "dead" or "alive".]]
In November {{year|2020}}, [[Peter Naszvadi]] created [[Rule:VisualifeBeta0|a custom 10-state ruletable]] to visualize this unit cell.<ref name="post110393" /> 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:p5760unitlifecell_glider.png|thumb|left|The presence or absence of a glider at the marked location determines whether or not the unit Life cell is considered "dead" or "alive".]]
|{{#ev:youtube|CCAYYk2Q3qA|300|left|The ON unit cell evolving for 5760 generations into the OFF unit cell}}
|}
|}
==See also==
* [[Deep cell]]
* [[OTCA metapixel]]
==References==
==References==
<references />
<references>
<ref name="post110393">{{LinkForumThread
|format = ref
|p = 110393
|title = Re: A Broader Audience for Cellular Automata
|author = Peter Naszvadi
|date = November 12, 2020
}}</ref>
</references>
==External links==
* {{LinkCallahan|patterns/unitcell/ucdesc.html||patternname=David Bell's Unit Life Cell}}
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 Lifecell.[1]
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.
The presence or absence of a glider at the green circle determines whether or not the unit Life cell is considered "dead" or "alive".
In November 2020, Peter Naszvadi created a custom 10-state ruletable to visualize this unit cell.[2] 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.
