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{{Rule
nothing
|name            = Amoeba
|b                = 357
|s                = 1358
|char            = Explosive
|ruleinteger      = 152744
|reversal        = B12468/S024678
}}{{Distinguish|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.
 
{{EmbedViewer
|rle          = x = 37, y = 5, rule = B357/S1358
o2bo3b2o4bo6bo6bo6b2o$o3bo2b2o4bo4b5o2b5o2b3obo$11b2ob2o16b2ob2o$13bo
6bo4b5o4b2o$13bo6bo6bo6b2o!
|position    = center
}}
 
=== Oscillators ===
Natural [[oscillator]]s of even periods up to 16 are known, as well as a few examples of period 3.
 
{{EmbedViewer
|rle          = 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!
|position    = center
|caption      = Collection of oscillators
|viewerconfig = #C [[ WIDTH 800 HEIGHT 800 THUMBSIZE 2 ]]
|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]] 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
|rle = x = 11, y = 8, rule = B357/S1358
bo6b3o$3o3b2o$6bob3o$obo4bobo$7bob2o$bo$bo$bo!
|position    = center
|caption      = Two spaceships that appear on Catagolue.}}       
 
=== 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.
 
{{EmbedViewer
|rle          = 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!
|position    = center}}
 
Explosive properties are quite rare in apgsearch-size soups, but they get more and more common with increasing soup size.
 
== See also ==
*{{rl|LowLife}}, which shares some simple oscillators with Amoeba
*{{rl|Coral}}, which also explodes slowly
 
== 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>
</references>
 
== External links ==
* {{LinkCatagolueRule|b357s1358}}
* {{LinkMirek|rullex_life.html#Amoeba|title=Amoeba}}
* [https://archive.is/G3Dt Amoeba (B357/S1358)] at [[David Eppstein]]'s Glider Database (archived copy)
* [https://web.archive.org/web/20190218043733/http://fano.ics.uci.edu/ca/rules/list.html Interesting Rules] at Fano Experimental Web Server (archived copy)
 
[[Category:Life-like cellular automata]]

Latest revision as of 10:55, 3 August 2026

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