Difference between revisions of "OCA:EightLife"

From LifeWiki
Jump to navigation Jump to search
Line 12: Line 12:


==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. 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.
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
x=0, y = 0, rule = B3/S238 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 RANDSEED 1729 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 238/3
B3/S238
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

External links

EightLife at Adam P. Goucher's Catagolue EightLife at David Eppstein's Glider Database