OCA:Diamoeba
Diamoeba | |
View static image | |
Rulestring | 5678/35678 B35678/S5678 |
---|---|
Rule integer | 246248 |
Character | Stable |
Black/white reversal | B45678/S4678 |
Diamoeba is a Life-like cellular automaton where cells are born if they have 3, 5, 6, 7, or 8 neighbors, and survive if they have 5-8 neighbors. Like in 2×2, patterns made of blocks will permanently remain made of blocks.
Diamoeba is known for its dynamics. Small random soups often dissolve into vacuum or small oscillators while larger soups often generate large oscillating diamonds.
There are no still lifes in Diamoba. Consider for example the leftmost living cell in the top row of a hypothetical Diamoeba still life; call this cell "TL". To survive into the next generation, cell TL must have at least five neighbors. TL is in the top row, so its five neighbors must be the three neighbors below it, plus the two in its own row, to the left and right. A cell to the left of TL contradicts the initial assumption, so no still lifes can exist.
Known objects
Oscillators
There are many oscillators in Diamoeba, although all of the known ones are of even period until 2023. Below is a collection of the smallest known oscillators (by cell count) from periods 2 to 14.
(click above to open LifeViewer) |
The only known odd period oscillator had been discovered on June 10, 2023.[1] This one has period 35:
(click above to open LifeViewer) Catagolue: here |
Spaceships
speed | period | first known | discoverer | minimal known | discoverer |
---|---|---|---|---|---|
c/7 | 7 | 144P7H1V0 | David Eppstein, 1999[2] | 112P7H1V0 | cyl, 2023[3] |
c/9 | 9 | 548P9H1V0 | Josh Ball, 2015[4] | 162P9H1V0 | djgjs, 2015[5] |
c/16 | 16 | 105P16H1V0 | Dongook Lee, 2015[6] |
All known spaceships are orthogonal and no spaceship faster than c/7 orthogonal is currently known. Below is a display of the smallest known spaceships (by population) of each known speed.
From left to right: c/7, c/9, c/16 (click above to open LifeViewer) |
Infinite growth
There are four known infinite growth patterns so far, a c/7 orthogonal wickstretcher found by David Bell,[7] a quarter-spacefiller also found by David Bell[8] of the same speed, a spacefiller yet again by David Bell[9] based on a spaceship, and a c/7 orthogonal wickstretcher found by Arie Paap.[10]
(click above to open LifeViewer) |
References
- ↑ bibunsekibun (June 10, 2023). Re: Miscellaneous Discoveries in Other Cellular Automata (discussion thread) at the ConwayLife.com forums
- ↑ David Eppstein (11 March 1999 - 24 March 1999). "Patterns for other Life-like rules". diamoeba-c7f.lif. Retrieved on 29 April 2020.
- ↑ cyl (December 6, 2023). Re: Gliders in diamoeba (discussion thread) at the ConwayLife.com forums
- ↑ velcrorex (August 12, 2015). Re: Gliders in diamoeba (discussion thread) at the ConwayLife.com forums
- ↑ djgjs (August 13, 2015). Re: Gliders in diamoeba (discussion thread) at the ConwayLife.com forums
- ↑ Dongook Lee (August 14, 2015). Re: Gliders in diamoeba (discussion thread) at the ConwayLife.com forums
- ↑ David Bell (3 February 2000). "Patterns for other Life-like rules". diamoeba-ws.lif. Retrieved on 29 April 2020.
- ↑ David Bell (12 March 1999). "Patterns for other Life-like rules". diamoeba-qsf.lif. Retrieved on 29 April 2020.
- ↑ David Bell (11 March 1999). "Patterns for other Life-like rules". diamoeba-sf.lif. Retrieved on 29 April 2020.
- ↑ Arie Paap (August 14, 2015). Re: Gliders in diamoeba (discussion thread) at the ConwayLife.com forums
External links
- Diamoeba at Adam P. Goucher's Catagolue
- Gliders in diamoeba (discussion thread) at the ConwayLife.com forums
- MCell built-in Life rules: Diamoeba at Mirek Wójtowicz's Cellebration page