User:Melwin22/Workspace: Difference between revisions

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|ruleinteger      = 152744
|ruleinteger      = 152744
|reversal        = B12468/S024678
|reversal        = B12468/S024678
}}
}}{{Distinguish|Diamoeba}}
'''Amoeba''' is a [[Life-like cellular automaton]] with [[rulestring]] B357/S1358. It is characterised by larger soups very slowly exploding, being well balanced between life and death.  
'''Amoeba''' is a [[Life-like cellular automaton]] with [[rulestring]] B357/S1358, in which cells survive from one generation to the next if they have 1, 3, 5, or 8 alive neighbours, and are born if they have 3, 5, or 7 neighbours. It is characterised by larger soups very slowly exploding, being well balanced between life and death.  


== Patterns ==
== Patterns ==
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|viewerconfig = #C [[ WIDTH 800 HEIGHT 800 THUMBSIZE 2 ]]
|viewerconfig = #C [[ WIDTH 800 HEIGHT 800 THUMBSIZE 2 ]]
|style        = width:300px;
|style        = width:300px;
}}
Additionally, pifricted found some infinite families of XOR oscillators, simulating W90<ref name="post232368" /><ref name="post232390" />:
{{EmbedViewer
|rle          = x = 190, y = 45, rule = B357/S1358
bo49bo15bo65bo$2ob2ob2ob2ob2ob2o33b2ob2ob2o3b2ob2ob2o61b6o$bo49bo15bo
62bo$2ob2ob2ob2ob2ob2o33b2ob2ob2o3b2ob2ob2o61b6o$bo49bo15bo65bo6$bo49b
o27bo53bo3bo$2ob2ob2ob2ob2ob2ob2ob2o27b2ob2ob2ob2ob2o3b2ob2ob2ob2ob2o
49b10o$bo49bo27bo50bo$2ob2ob2ob2ob2ob2ob2ob2o27b2ob2ob2ob2ob2o3b2ob2ob
2ob2ob2o49b10o$bo49bo27bo53bo3bo6$bo49bo39bo41bo3bo3bo21bo5bo5bo$2ob2o
b2ob2ob2ob2ob2ob2ob2ob2o21b2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2o
37b14o16b6ob5ob5o$bo49bo39bo38bo29bo$2ob2ob2ob2ob2ob2ob2ob2ob2ob2o21b
2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2o37b14o16b6ob5ob5o$bo49bo39bo
41bo3bo3bo21bo5bo5bo6$bo49bo51bo29bo3bo3bo3bo17bo5bo5bo5bo$2ob2ob2ob2o
b2ob2ob2ob2ob2ob2ob2ob2o15b2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob
2ob2ob2ob2o25b18o12b6ob5ob5ob5o$bo49bo51bo26bo29bo$2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2o15b2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2ob
2ob2o25b18o12b6ob5ob5ob5o$bo49bo51bo29bo3bo3bo3bo17bo5bo5bo5bo6$bo49bo
63bo17bo3bo3bo3bo3bo13bo5bo5bo5bo5bo$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob
2ob2ob2o9b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2ob2ob2o
b2ob2o13b22o8b6ob5ob5ob5ob5o$bo49bo63bo14bo29bo$2ob2ob2ob2ob2ob2ob2ob
2ob2ob2ob2ob2ob2ob2o9b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2o
b2ob2ob2ob2ob2ob2o13b22o8b6ob5ob5ob5ob5o$bo49bo63bo17bo3bo3bo3bo3bo13b
o5bo5bo5bo5bo!
|position    = center
|viewerconfig = #C [[ WIDTH 1200 HEIGHT 300 THUMBSIZE 2 ]]
}}
}}


=== Spaceships ===
=== Spaceships ===
There are known [[spaceships]] of speeds c/2o, c/3o, c/4o, c/5o, 2c/5o, c/6o, c/7o, 2c/7o, c/9o, c/12o, c/3d, c/4d, c/6d, c/14d.<ref name="gliderdb" /> Only two of them, c/3o and c/14d, are known to appear naturally.
[[Spaceships]] of speeds c/2o, c/3o, c/4o, c/5o, 2c/5o, c/6o, c/7o, 2c/7o, c/9o, c/12o, c/3d, c/4d, c/6d, c/14d were found.<ref name="gliderdb" /> Only two of them, c/3o and c/14d, are known to appear naturally.


{{EmbedViewer
{{EmbedViewer
Line 63: Line 90:


=== Infinite growth ===
=== Infinite growth ===
Some soups tend to explode, but the growth is very slow and chaotic: population of the example below grows only about 20 times during the first 10k generations.  
Some soups tend to explode, although the growth is very slow and chaotic: population of the example below grows only about 20 times during the first 10k generations.


{{EmbedViewer
{{EmbedViewer
Line 75: Line 102:


== See also ==
== See also ==
*{{rl|LowLife}}
*{{rl|LowLife}}, which shares some simple oscillators with Amoeba
*{{rl|Coral}}
*{{rl|Coral}}, which also explodes slowly


== References ==
== References ==
<references>
<references>
<ref name="post232368">{{LinkForumThread
|format = ref
|p      = 232368
|title  = Re: Oscillators in Life-like cellular automata
|author = pifricted
|date  = August 2, 2026
}}</ref>
<ref name="post232390">{{LinkForumThread
|format = ref
|p      = 232390
|title  = Re: Oscillators in Life-like cellular automata
|author = pifricted
|date  = August 2, 2026
}}</ref>
<ref name="gliderdb">[https://jedlimlx.github.io/gliderdb-searcher/ GliderDB Database]</ref>
<ref name="gliderdb">[https://jedlimlx.github.io/gliderdb-searcher/ GliderDB Database]</ref>
</references>
</references>

Revision as of 09:34, 3 August 2026

Amoeba
x=64, y = 64, rule = B357/S1358 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 THUMBLAUNCH THUMBNAIL THUMBSIZE 2 GRID ZOOM 6 WIDTH 600 HEIGHT 600 LABEL 90 -20 2 "#G" AUTOSTART PAUSE 2 GPS 8 LOOP 256 ]]
LifeViewer-generated pseudorandom soup
Rulestring 1358/357
B357/S1358
Rule integer 152744
Character Explosive
Black/white reversal B12468/S024678
Not to be confused with Diamoeba.

Amoeba is a Life-like cellular automaton with rulestring B357/S1358, in which cells survive from one generation to the next if they have 1, 3, 5, or 8 alive neighbours, and are born if they have 3, 5, or 7 neighbours. It is characterised by larger soups very slowly exploding, being well balanced between life and death.

Patterns

Still lifes

Domino, duoplet and block are the simplest still lifes in Amoeba. Some bigger examples are shown as well.

x = 37, y = 5, rule = B357/S1358 o2bo3b2o4bo6bo6bo6b2o$o3bo2b2o4bo4b5o2b5o2b3obo$11b2ob2o16b2ob2o$13bo 6bo4b5o4b2o$13bo6bo6bo6b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
(click above to open LifeViewer)

Oscillators

Natural oscillators of even periods up to 16 are known, as well as a few examples of period 3.

x = 92, y = 94, rule = B357/S1358 2ob2obo4b2o2b2o7b2o4b2o3bo4b2o24bobo4bob2obo5bobo$7bo2bo5b2o5bo4b4o2bo bo2bo2bo22bo3bo2bo6bo5b2o$22bobo57bobobobo$7bo14bo5b4o2bobo2bo2bo20bo 5bo2bo6bo4b2o$7bo3bobo3bo12b2o3bo4b2o20bo6bo2bo6bo4bobo$10bobo3bob2o$ 7bo61bo2bo6bo$bob2obo62bo2bo6bo$o15bo16bo3bo$11bobo2b2o2bobo5bobo2bo3b o2bobo26bo2bo6bo$o9bo3bobo3bobo4bo3bobo3bobo3bo25bo2bo6bo$o10bobo2b2o 2bobo5bobo2bo3bo2bobo$16bo16bo3bo31bo2bo6bo$o68bo3bob2obo$bob2ob2o6$2o b2obo7bo6bobo42bobo3b2ob2obo9bo$7bo7bo3b2ob2o41bo3bo9bo4b5o$13b2obo3bo 3bo61bobo$7bo4bobo6b2ob2o37bo5bo9bo4b5o$7bo2bob2o7bobo38bo6bo9bo8bo$ 11bo$7bo4bo56bo9bo$2ob2obo62bo3bob2obo$72bo$7bo61bo17bo$7bo2b3o7b6o43b o2bo11b2ob2o$11bo2bo5b2o2b2o46bo14bo$7bo4bo2bo53bo14b2ob2o$2ob2obo7b3o 5b2o45bo2bo14bo$22b2o49bob2ob2o6$o6bo11b2o5bo6b2o5bo25bobo3bo6bo4bo3bo bo$o6bo10b4o4b4o3bobo2b2o4b3o18bo3bo2bo6bo2b2ob2ob2obo$10b5o4b2o5bo6bo bo3bo3b4o39bobo$o6bo25b2o4b2o22bo5bo2bo6bo$o6bo4bo26b2o3bobo15bo6bo2bo 6bo2$o6bo61bo2bo6bo$bob2obo19bo42bo3bob2obo$19bo5bobo2bobo2bo4bobo$7bo 2b3o5b2obo2bob2o2bo4bo4bo4b2o22bo9bo$7bo2bo3bo3bo7bo4bo3bobo3bo2b4o21b o9bo$12b3o3b2obo4bo8bo9b2o$7bo11bo15bo33bo9bo$7bo61bo9bo7$bob2ob2o3bob o52bobo4bob2ob2o4bo$o9bobobo4b3obo41bo3bo2bo11bob2o$10b2ob2o3b2ob2o61b ob2o$o62bo5bo2bo11bob2o$o17b2ob2o39bo6bo2bo11bo$19b3obo$bob2obo62bo3bo b2obo$o6bo61bo2bo6bo2$o6bo2b2o2bo4b3o47bo2bo6bo$o6bo6bo3b2ob3o45bo2bo 6bo$11bobo$o6bo10b2ob3o45bo2bo6bo$bob2obo6b2o4b3o47bo3bob2obo7$bob2obo $o6bo7bo$14b3o$o6bo5b3o$o6bo4b3o$11b3o$bob2obo5bo$o6bo2$o6bo$o6bo2$o6b o$bob2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 800 HEIGHT 800 THUMBSIZE 2 ]]
Collection of oscillators
(click above to open LifeViewer)

Additionally, pifricted found some infinite families of XOR oscillators, simulating W90[1][2]:

x = 190, y = 45, rule = B357/S1358 bo49bo15bo65bo$2ob2ob2ob2ob2ob2o33b2ob2ob2o3b2ob2ob2o61b6o$bo49bo15bo 62bo$2ob2ob2ob2ob2ob2o33b2ob2ob2o3b2ob2ob2o61b6o$bo49bo15bo65bo6$bo49b o27bo53bo3bo$2ob2ob2ob2ob2ob2ob2ob2o27b2ob2ob2ob2ob2o3b2ob2ob2ob2ob2o 49b10o$bo49bo27bo50bo$2ob2ob2ob2ob2ob2ob2ob2o27b2ob2ob2ob2ob2o3b2ob2ob 2ob2ob2o49b10o$bo49bo27bo53bo3bo6$bo49bo39bo41bo3bo3bo21bo5bo5bo$2ob2o b2ob2ob2ob2ob2ob2ob2ob2o21b2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2o 37b14o16b6ob5ob5o$bo49bo39bo38bo29bo$2ob2ob2ob2ob2ob2ob2ob2ob2ob2o21b 2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2o37b14o16b6ob5ob5o$bo49bo39bo 41bo3bo3bo21bo5bo5bo6$bo49bo51bo29bo3bo3bo3bo17bo5bo5bo5bo$2ob2ob2ob2o b2ob2ob2ob2ob2ob2ob2ob2o15b2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob 2ob2ob2ob2o25b18o12b6ob5ob5ob5o$bo49bo51bo26bo29bo$2ob2ob2ob2ob2ob2ob 2ob2ob2ob2ob2ob2o15b2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2ob 2ob2o25b18o12b6ob5ob5ob5o$bo49bo51bo29bo3bo3bo3bo17bo5bo5bo5bo6$bo49bo 63bo17bo3bo3bo3bo3bo13bo5bo5bo5bo5bo$2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob 2ob2ob2o9b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2ob2ob2ob2ob2o b2ob2o13b22o8b6ob5ob5ob5ob5o$bo49bo63bo14bo29bo$2ob2ob2ob2ob2ob2ob2ob 2ob2ob2ob2ob2ob2ob2o9b2ob2ob2ob2ob2ob2ob2ob2ob2ob2ob2o3b2ob2ob2ob2ob2o b2ob2ob2ob2ob2ob2o13b22o8b6ob5ob5ob5ob5o$bo49bo63bo17bo3bo3bo3bo3bo13b o5bo5bo5bo5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 1200 HEIGHT 300 THUMBSIZE 2 ]]
(click above to open LifeViewer)

Spaceships

Spaceships of speeds c/2o, c/3o, c/4o, c/5o, 2c/5o, c/6o, c/7o, 2c/7o, c/9o, c/12o, c/3d, c/4d, c/6d, c/14d were found.[3] Only two of them, c/3o and c/14d, are known to appear naturally.

x = 11, y = 8, rule = B357/S1358 bo6b3o$3o3b2o$6bob3o$obo4bobo$7bob2o$bo$bo$bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
Two spaceships that appear on Catagolue.
(click above to open LifeViewer)

Infinite growth

Some soups tend to explode, although the growth is very slow and chaotic: population of the example below grows only about 20 times during the first 10k generations.

x = 16, y = 16, rule = B357/S1358 ob4o3b3o2bo$bob3ob2ob5o$9b4obo$2b4obob3o2b2o$3bo4bo2b2o$3o4bo2b2ob3o$b 3obobo2bo3bo$b4o2b2o2b4o$2o2b3o2b2ob4o$bo2bobo4b2o$b2obo$3bo2bo5b3o$2o bob2ob3obob2o$o2bobob7obo$2o2b2ob4o2bo$2bob2ob4obobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
(click above to open LifeViewer)

Explosive properties are quite rare in apgsearch-size soups, but they get more and more common with increasing soup size.

See also

  • LowLife, which shares some simple oscillators with Amoeba
  • Coral, which also explodes slowly

References

  1. ↑ pifricted (August 2, 2026). Re: Oscillators in Life-like cellular automata (discussion thread) at the ConwayLife.com forums
  2. ↑ pifricted (August 2, 2026). Re: Oscillators in Life-like cellular automata (discussion thread) at the ConwayLife.com forums
  3. ↑ GliderDB Database
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