User:Melwin22/Workspace

Walled Cities
x=64, y = 64, rule = B45678/S2345 ! #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	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.

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! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

(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:

x = 18, y = 3, rule = B45678/S2345 2o3b2o3b3o2b3o$obo2bobo2bobo2bobo$2o4b2o2b2o3b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]

(click above to open LifeViewer)

See also

• Vote
• Rings 'n' Slugs