OCA:Diamoeba

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Diamoeba
Diamoeba rule
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.

Diamoeba is known for its dynamics. Small random soups often dissolve into vacuum or small oscillators while larger soups often generate large oscillating diamonds.

Known Objects

Oscillators

There are many oscillators in Diamoeba, although all of the currently known ones are of even period. Below is a collection of the smallest known oscillators (by cell count) from periods 2 until 14.

x = 66, y = 10, rule = B35678/S5678 2bo8bo8bobobobo5b4o5bobobobo3bobo7bobo$obo7bob3o7b6o4b4o4b6o7bobo7bobo $obo8b4o5b6o4b8o4b6o2b4o6b4o$2bo8b4o6bobobobo4b4o4bob3obo5b3o7b3o$11b 4o8bobo4bob4obo7bo5b5o5b3o$32bo18b5o6b4o$52b3o6b3o$50b4o8b3o$53bobo4bo bo$51bobo8bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
(click above to open LifeViewer)

Spaceships

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 cell count) of each known speed.

x = 40, y = 36, rule = B35678/S5678 3b2o10bo2bo14bobo$ob4obo6b6o11bobobobo$8o6b6o11b7o$8o3b12o7b9o$2b4o6b 10o7b11o$2b4o6b10o7b11o$3b2o7b10o7b11o$2b4o6b10o7b11o$3b2o7b10o7b11o$b 6o6b8o8b11o$3b2o7b10o7b11o$2b4o7b8o9bobobobobo$3b2o6b12o11bo$2b4o7b8o$ 3b2o7b10o$2b4o8b6o$3b2o8b8o$2b4o8b6o$3b2o8bob4obo$b6o8b4o$3b2o$2b4o$3b 2o$2b4o$3b2o$2b4o$3b2o$b6o$2b4o$b6o$2b4o$b6o$2b4o$8o$2b4o$2b4o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
From left to right: c/7o (David Eppstein)[1], c/9o ("djgjs")[2], c/16o (Dongook Lee)[3] (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[4], a quarter-spacefiller also found by David Bell[5] of the same speed, a spacefiller yet again by David Bell[6] based on a spaceship, and a c/7 orthogonal wickstretcher found by Arie Paap[7].

x = 62, y = 138, rule = B35678/S5678 3b2o12b2o$bob2obo8bob2obo13bo11bo3bo3bobob3o$8o6b8o9b2obobobobobobobob obobobobob2o$b6o8b6o10b30o$8o6b8o9b31o$2b4o10b4o11b31o$8o8b4o11b30o$2b 4o25b2obobobobobobobobobobobobob2o$b6o8b6o13bo11bo3bo3bobob3o$2b4o$8o 9b2o$2b4o$b6o9b4o$2b4o$b6o8b6o$2b4o$8o6b8o$2b4o$b6o5bobob4obobo$2b4o6b o3bo2bo3bo$8o2bob4ob2ob4obo$2b4o4b4obo4bob4o$b6o4b3o2b4o2b3o$2b4o7bo3b 2o3bo$2b4o6bo2b6o2bo$13bo2b4o2bo$3b2o10bob2obo$3b2o7bobob4obobo$2bo2bo $3b2o7b3ob4ob3o$2bo2bo4bobo10bobo$3b2o5b4ob6ob4o$2bo2bo6b3o6b3o$3b2o5b 4ob6ob4o$2bo2bo7bobo4bobo$3b2o6b2o10b2o$2bo2bo6b4o4b4o$3b2o6bo3bo4bo3b o$2bo2bo5bob10obo$11bob3ob2ob3obo$b6o3bob4ob2ob4obo$bob2obo3bobo10bobo $bob2obo5b2o3b2o3b2o$2b4o9bob2obo$13bob6obo$12bo3b4o3bo$11b3o3b2o3b3o$ 11b3o3b2o3b3o$11b4o6b4o$10b6ob2ob6o$11b4o2b2o2b4o$10b3o3b4o3b3o$14b2ob 2ob2o2$13b3o4b3o$14b3o2b3o$12b4o4b4o$12b4o4b4o$14bobo2bobo$10bobobobo 2bobobobo$12bo3bo2bo3bo$13b3o4b3o$14b3o2b3o$14b3o2b3o$12b5o2b5o$14b2o 4b2o$10b5obo2bob5o$14b2o4b2o$10b4o2b4o2b4o$12b4o4b4o$11b3o2b4o2b3o$11b obo8bobo$10bobo10bobo$12b3o6b3o$11b3o8b3o$12b3o6b3o$10b5o6b5o$11bobo8b obo$11bobobo4bobobo$11b3o8b3o$12b3o6b3o$11b3o8b3o$12b3o6b3o$10b3o10b3o $13b3o4b3o$11b3o8b3o$12b4o4b4o$10bobo10bobo$12bobo6bobo$11bo12bo$13b2o 6b2o$10b4o8b4o$12b2obo4bob2o$10bob2obo4bob2obo$13bo8bo36$2bo3bobo7bobo 5bobo8bobo5bobo7bobo3bo$b2obobobobobobobobobobobobobo4bobobobobobobobo bobobobobob2o$62o$62o$62o$62o$b2obobobobobobobobobobobobobo4bobobobobo bobobobobobobobob2o$2bo3bobo7bobo5bobo8bobo5bobo7bobo3bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ LOOP 305 ]]
(click above to open LifeViewer)

References

  1. ↑ David Eppstein (11 March 1999 - 24 March 1999). "Patterns for other Life-like rules". diamoeba-c7f.lif. Retrieved on 29 April 2020.
  2. ↑ djgjs (13 August 2015). "Re: Gliders in diamoeba". ConwayLife.com forums. Retrieved on 29 April 2020.
  3. ↑ Dongook Lee (14 August 2015). "Re: Gliders in diamoeba". ConwayLife.com forums. Retrieved on 29 April 2020.
  4. ↑ David Bell (3 February 2000). "Patterns for other Life-like rules". diamoeba-ws.lif. Retrieved on 29 April 2020.
  5. ↑ David Bell (12 March 1999). "Patterns for other Life-like rules". diamoeba-qsf.lif. Retrieved on 29 April 2020.
  6. ↑ David Bell (11 March 1999). "Patterns for other Life-like rules". diamoeba-sf.lif. Retrieved on 29 April 2020.
  7. ↑ Arie Paap (14 August 2015). "Re: Gliders in diamoeba". ConwayLife.com forums. Retrieved on 29 April 2020.

External links

Retrieved from "https://conwaylife.com/w/index.php?title=OCA:Diamoeba&oldid=72989"