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{{Rule
nothing
|name            = Walled Cities
|char            = Stable
|b              = 45678
|s              = 2345
|reversal        =
|ruleinteger    =
}}
'''Walled Cities''' is a [[Life-like cellular automaton]]. Its rulestring is B45678/S2345, which means that a cell is born when it has from 4 to 8 alive neighbours, and an alive cell survives when it has from 2 to 5 alive neighbours.
 
Rectangle-shaped soups tend to generate a rectangular stable wall, which surrounds a region of high activity.
 
==Notable patterns==
Because the lowest birth condition in Walled Cities is B4, no pattern can escape its initial bounding box. There are no spaceships or infinitely growing objects.
 
===Still lives===
Some possible still lives, with population up to 9, are shown below.
{{EmbedViewer
|rle = x = 70, y = 36, rule = B45678/S2345
2o$o3$2o5b2o5bo$2o4b2o5b3o3$8bo5bo$3o4b2o4b3o$2o4b2o6bo3$8b2o4bo$3o4b
2o4b3o4b2o6b3o$3o3b2o6b2o3b4o4b3o2$38bo$9bo4bo22b2o$4o4b2o3b3o20bo$3o
4b2o5b3o18bo$6b2o26b2o$46bo$37b2o6b2o$4o5b2o3bo5b3o5b4o5b2o5bo$4o4b2o
3b3o3b5o3b4o5bo6bo$7b2o5b3o18bo6bo$6b2o7bo18b2o5b2o2$10bo27bo6b2o5b2o
7bo7bo$5o4b2o26b2o6bo6b2o6b2o6b2o$4o4b2o26bo7bo6bo7bo7bo$7b2o26bo7bo5b
2o7bo7bo$6b2o26b2o6b2o5b2o5b2o7bo$34b2o6b2o12b2o6bo$63b2o!
|position = center}}
 
===Oscillators===
Any pattern that doesn't stabilize eventually turns into an oscillator. For large regions this can take a while, but because the space inside any wall is finite, it has finite configurations and must eventually become periodic.
 
Walled Cities allows for the existence of oscillators with lowest possible [[heat]], equaling 1:
 
{{EmbedViewer
|rle = x = 18, y = 3, rule = B45678/S2345
2o3b2o3b3o2b3o$obo2bobo2bobo2bobo$2o4b2o2b2o3b3o!
|position = center}}
 
==See also==
*{{rl|Vote}}
*{{rl|Rings 'n' Slugs}}
 
==References==
<references/>
 
==External links==
 
 
[[Category:Life-like cellular automata]]

Latest revision as of 10:55, 3 August 2026

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