Difference between revisions of "User:C28/Zlife"
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}}<!-- i'm not too comfortable with saying that I "devised" the rule since it seems to have been mentioned on the forums from time to time, though that could be because it's one transision from Life. i just went with what felt to be right, but if someone with more knowlage on the matter could figure out the right answer that would be great. Well, the earliest source I saw was Galoomba’s--> | }}<!-- i'm not too comfortable with saying that I "devised" the rule since it seems to have been mentioned on the forums from time to time, though that could be because it's one transision from Life. i just went with what felt to be right, but if someone with more knowlage on the matter could figure out the right answer that would be great. Well, the earliest source I saw was Galoomba’s--> | ||
'''Zlife''', or '''B3/S234z''', is a [[non-totalistic cellular automaton]] | '''Zlife''', or '''B3/S234z''', is a [[non-totalistic cellular automaton]] first thoroughly described by [[Lucy D'Agostino]] on December 19, {{year|2023}}. It is similar to Life but differing with a 4z survival condition, which has the effect of making soups take longer to settle down. | ||
==Still lifes== | ==Still lifes== | ||
Revision as of 18:50, 24 October 2025
| Zlife | |
| View animated image | |
| Rulestring | 234z/3 B3/S234z |
|---|---|
| Character | Chaotic |
| Black/white reversal | B01234-z78/S01234678. |
Zlife, or B3/S234z, is a non-totalistic cellular automaton first thoroughly described by Lucy D'Agostino on December 19, 2023. It is similar to Life but differing with a 4z survival condition, which has the effect of making soups take longer to settle down.
Still lifes
All still lifes that work in Life work in this rule due to the addition of a survival condition, though the reverse isn't true. The simplest example of this is the Z-pentomino, which dies in Life but is stable in Zlife:
| The Z-pentomino (click above to open LifeViewer) Catagolue: here |
Oddly, the Z-pentomino is 18 to 19 times rarer than the boat across all soup symmetries, even C2_1, its native symmetry.
The dead spark coil is much more common in Zlife due to the pi-heptomino evolving into one, plus a beehive. Hats are more common as well.
Spaceships
All of the 4 most common spaceships from Life (glider, LWSS, MWSS, HWSS) work in Zlife. In addition, there is an 8c/16 spaceship native to the rule.
| (click above to open LifeViewer) |
Known speeds are c/2o, 2c/5o (44P5H2V0) c/3o, 2c/7o (Weekender), c/4o[1], c/5o (Snail), c/10o (Copperhead), c/4d and c/5d (58P5H1V1)
Puffers
Some puffers are known to exist in Zlife, like Puffer 2 a naturally-occuring p60 blinker puffer, as well as some high-period c/2o puffers.[2]
Oscillators
Most small oscillators from Life work in Zlife, though higher-population and higher-period ones are less likely to work. Some oscillators native to Zlife are known, such as this p58 statorless century hassler:
| (click above to open LifeViewer) Catagolue: here |
The existance of oscillators of periods 64+ has been proven using Snark64 loops, but the question of if Zlife is omniperiodic remains unanswered.
Guns
The Gosper glider gun and the p4-assisted period-28 glider gun both work in this rule.
References
- ↑ LaundryPizza03 (December 28, 2023). Re: B3/S234z (Zlife) (discussion thread) at the ConwayLife.com forums
- ↑ LaundryPizza03 (December 27, 2023). Re: B3/S234z (Zlife) (discussion thread) at the ConwayLife.com forums
Externat links
- B3/S234z at Adam P. Goucher's Catagolue
- Zlife (discussion thread) at the ConwayLife.com forums