OCA:DryLife

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DryLife
DryLife rule
Rulestring 23/37
B37/S23
Rule integer 6280
Character Explosive
Black/white reversal B0123478/S0234678

DryLife is a Life-like cellular automaton in which cells survive from one generation to the next if they have 2 or 3 neighbours, and are born if they have 3 or 7 neighbours.

Patterns

x = 21, y = 13, rule = B37/S23 8bo3bo$7bobobobo$8b2ob2o$b2o15b2o$o2bo13bo2bo$b3o13b3o2$b3o13b3o$o2bo 13bo2bo$b2o15b2o$8b2ob2o$7bobobobo$8bo3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
The flower garden (click above to open LifeViewer)
RLE: here Plaintext: here

DryLife is so named because the standard spaceships from normal life; lightweight spaceship, middleweight spaceship, and heavyweight spaceship — also known as "fishes" — do not work, though the glider does. Some other spaceships, such as the weekender and loafer, work in this rule. The copperhead evolves into the closely related c/10 goldenhead, differing from copperhead by two cells in one phase.

Two correctly spaced B-heptominoes (as in the twin bees shuttle) act as a c/2 orthogonal puffer.

A new speed allowed by DryLife is 9c/28 orthogonal. Technology travelling at this speed relies on the R-pentomino. There is a small 9c/28 orthogonal pond puffer, and a 9c/28 spaceship. Guns and breeders have been constructed that fire spaceships and rakes of this speed respectively.

The "flower garden", a common constellation which evolves from honey farm predecessors, composed of two bi-boats and two cis-mirrored R-bees, is shown to the right. It also evolves when a pulsar is sabotaged.[citation needed]

Universality

There is a proof sketch of this rule's universality as well as an explicit Rule 110 unit cell.[1] In the same topic on ConwayLife forums,[2] there is a proof-scheme covering all rules in the outer-totalistic rulespace between B3/S23 and B3678/S23678.

An explicit Rule 110 unit cell construction[3] proves its Turing-completeness; the pattern itself is basically a meta-polyglot, covering some related cellular automata in which the pattern only differs in some parts (in this case, the guns).

References

  1. Peter Naszvadi (August 7, 2018). "List of the Turing-complete totalistic life-like CA". ConwayLife.com forums. Retrieved on May 17, 2019.
  2. Peter Naszvadi (December 12, 2016). "List of the Turing-complete totalistic life-like CA". ConwayLife.com forums. Retrieved on May 17, 2019.
  3. "Explicit Rule-110 Unit Cell Construction for DryLife".

External links