User:Melwin22/Workspace: Difference between revisions
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{{Rule | {{Rule | ||
|name = Walled Cities | |name = Walled Cities | ||
|char = | |char = Stable | ||
|b = 45678 | |b = 45678 | ||
|s = 2345 | |s = 2345 | ||
| Line 7: | Line 7: | ||
|ruleinteger = | |ruleinteger = | ||
}} | }} | ||
'''Walled Cities''' is a [[Life-like cellular automaton]]. | '''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== | ==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=== | ===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$63b2o! | |||
|position = center}} | |||
===Oscillators=== | ===Oscillators=== | ||
Any pattern that doesn't stabilize eventually turns into an oscillator. For large regions this can take a while, but because the space inside any wall is finite, it has finite configurations and must eventually become periodic. | |||
Walled Cities allows for the existence of oscillators with lowest possible [[heat]], equaling 1: | |||
{{EmbedViewer | |||
|rle = x = 18, y = 3, rule = B45678/S2345 | |||
2o3b2o3b3o2b3o$obo2bobo2bobo2bobo$2o4b2o2b2o3b3o! | |||
|position = center}} | |||
==See also== | ==See also== | ||
*{{rl|Vote}} | |||
*{{rl|Rings 'n' Slugs}} | |||
==References== | ==References== | ||
Revision as of 18:26, 16 July 2026
| Walled Cities | |
| Rulestring | 2345/45678 B45678/S2345 |
|---|---|
| Character | Stable |
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.
| (click above to open LifeViewer) |
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:
| (click above to open LifeViewer) |
See also
References