OCA:DryLife
DryLife | ||
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Rulestring | 23/37 B37/S23 |
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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
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 x66, 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 composed of two bi-boats and two cis-mirrored R-bees which evolves from honey farm predecessors, is shown to the right.
Universality
There is a proof sketch of DryLife's universality on ConwayLife.com forums. It is a proof-scheme covering all rules in the outer-totalistic rulespace between B3/S23 and B3678/S23678.[1]
In 2018, Peter Naszvadi constructed an explicit Rule 110 unit cell in DryLife, proving its Turing-completeness.[2] 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
- ↑ Peter Naszvadi (December 12, 2016). Re: List of the Turing-complete totalistic life-like CA (discussion thread) at the ConwayLife.com forums
- ↑ Peter Naszvadi (March 29, 2018). Re: List of the Turing-complete totalistic life-like CA (discussion thread) at the ConwayLife.com forums
External links
- DryLife at David Eppstein's Glider Database
- DryLife at Adam P. Goucher's Catagolue
- Puffer with unstable trail (B37/S23) (discussion thread) at the ConwayLife.com forums
- Taming B37/S23 (discussion thread) at the ConwayLife.com forums