Difference between revisions of "OCA:EightLife"
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==Patterns== | ==Patterns== | ||
Many patterns from regular [[Conway's Game of Life|Life]] are compatible with this rule. This is because EightLife is the most similar rule to Life, because cells are more likely to be off than on, and this rule requires a 3 by 3 square of on cells for an evolution difference, the least likely arrangement. Some patterns, like the [[heavyweight spaceship]], do not survive this. Pulsars are common, as the name "Pulsar Life" suggests. | Many patterns from regular [[Conway's Game of Life|Life]] are compatible with this rule. This is because EightLife is the most similar rule to Life, because cells are more likely to be off than on, and this rule requires a 3 by 3 square of on cells for an evolution difference, the least likely arrangement. Some patterns, like the [[heavyweight spaceship]], do not survive this. Pulsars are common, as the name "Pulsar Life" suggests. [[Honeycomb]]s are also common, because a common spark in Life (specifically that of a lone [[table]], the one hassled in [[worker bee]]) evolves into this pattern instead. | ||
==Universality== | ==Universality== |
Revision as of 15:57, 13 September 2017
EightLife | |
View static image | |
View animated image | |
Rulestring | 238/3 B3/S238 |
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Rule integer | 137224 |
Character | Chaotic |
Black/white reversal | B123478/S01234678 |
EightLife (or Pulsar Life) is a Life-like cellular automaton in which cells survive from one generation to the next if they have 2, 3 or 8 neighbours, and are born if they have 3 neighbours.
Patterns
Many patterns from regular Life are compatible with this rule. This is because EightLife is the most similar rule to Life, because cells are more likely to be off than on, and this rule requires a 3 by 3 square of on cells for an evolution difference, the least likely arrangement. Some patterns, like the heavyweight spaceship, do not survive this. Pulsars are common, as the name "Pulsar Life" suggests. Honeycombs are also common, because a common spark in Life (specifically that of a lone table, the one hassled in worker bee) evolves into this pattern instead.
Universality
It was mentioned in a poor quality article[1], but the first true proof was published on conwaylife forums[2] - basically it is a Rule-110[3] cellular automata unit cell, which was inherited from Conway's Game of Life and constructed by Jason Summers[4]
References
- ↑ http://repositorio.uam.es/bitstream/handle/10486/664759/fine_soler_JGPS_2013_ampl.pdf?sequence=2
- ↑ "List of the Turing-complete totalistic life-like CA". Peter Naszvadi. Retrieved on December 12, 2016.
- ↑ https://en.wikipedia.org/wiki/Rule_110
- ↑ http://pentadecathlon.com/lifenews/2005/12/rule_110_unit_cell.html
External links
EightLife at Adam P. Goucher's Catagolue EightLife at David Eppstein's Glider Database