OCA:LowDeath

LowDeath
x=64, y = 64, rule = B368/S238 ! #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
View static image
Rulestring	238/368 B368/S238
Rule integer	137544
Character	Chaotic
Black/white reversal	B123478/S134678

LowDeath is a Life-like cellular automaton in which cells survive from one generation to the next if they have 2, 3 or 8 neighbours, and are born if they have 3, 6 or 8 neighbours.

Patterns

Many patterns from HighLife are compatible with this rule. HighLife's replicator works in this rule, albeit with a different evolution sequence due to the result of Pedestrian Life's pedestrian effect.

Oscillators

x = 24, y = 24, rule = B368/S238 4bo14bo$2b3o14b3o$bo20bo$bobo16bobo$2o20b2o6$11b2o$10bo2bo$10bo2bo$11b2o6$2o 20b2o$bobo16bobo$bo20bo$2b3o14b3o$4bo14bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 14 GPS 10 AUTOSTART ]]

Endemic p69 (click above to open LifeViewer) Catagolue: here

x = 9, y = 10, rule = B368/S238 obo3bobo$ob2ob2obo$b2obob2o$3bobo$3b3o3$o7bo$o7bo$o7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 18 X 0 Y -3 GPS 20 AUTOSTART ]]

Outer-totalistically endemic p110 (click above to open LifeViewer) Catagolue: here

x = 4, y = 13, rule = B368/S238 b2o$obo$obo$2o$obo$o2bo$o2bo$o2bo$obo$2o$obo$obo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ HEIGHT 600 WIDTH 600 THUMBSIZE 2 ZOOM 18 GPS 20 AUTOSTART ]]

Outer-totalistically endemic p26 (click above to open LifeViewer) Catagolue: here

Spaceships

There are known spaceships of speeds c/2o, 2c/4o, c/3o, c/4o, c/5o, c/6o, 2c/5o, c/4d, c/5d and 8c/48d.

x = 204, y = 74, rule = B368/S238 10bo16bo8b3o4b3o12bo15bo7b3o11b3o8bo3bo8b3o4b2o5b2o6bob2o3b2obo3b3o4b o36bo$6bob2ob2obo10b2ob2o6bo2bo3bo2bo10b3o12b4o8b3o15b2o3b5o3b2o9bo2b o3bo2bo5b2o2b3o2b2o5bo5b2o34b2o$5b2o7b2o8bo2bo2bo5bo6bo8b3o7b3o7bo3bo 5b2o3bo8bo2bobob4o5b4obobo2bo3bo2bo3bo2bo4bo2b2obob2o2bo3bo3b2o3bo33b obo$6b2obobob2o8bo3bo3bo4bo3bo2bo7b2o4bobo4b2o6bo7b3obo3b2ob2o6bo2bo2b o3bo3bo2bo2bo7b2o5b2o7bo7bo11b2obo34b3o$4b3o7b3o6bo7bo4bo7bobo3b2ob2o 7b2ob2o5b4o3bobo9b2o7bob4o7b4obo8b2o5b2o8bo2bo2bo14bo$6bo7bo10b2ob2o7b obo9b3o3bo5bo3b3o11bobo4b2o2bo2bo32bo2bo3bo2bo58b3o$b3o13b3o4bobobobo 22bo9bo10b2o10b2o59bo18bo29bobo$bo17bo6b3o22bobo9bobo9b2o69bobo17b2o22b 3o4b2o$26bob3o21bobo7bobo10b2o49bobo5bobo10bo19bo30bo$2o17b2o4bobo46b 3o50bo3bo3bo10bobo19b2o$24b6o23b2o7b2o6b2obo3b2o48bo3bo3bo6b2o3bo3b2o 16b2o2b2o$23b3obo25bo9bo6b2o55b2o2bo2b2o5bo2b2o3b2o2bo18bo2bo$24bobo27b o7bo7b2obo4bo48bo2b3o2bo6bob3ob3obo20bobo$24b2obo25b2o3bo3b2o6b4o2bo51b ob3obo8b2o5b2o21bo2bo$26bo29b2ob2o10bo3bo53bo3bo10b7o23bo$26b2o28b2ob 2o13bo55bobo11bob3obo23bo$58bo13bo3bo50bo3bo3bo8bob3obo$55b2obob2o12b o52b2o5b2o9b5o$55bo2bo2bo66b2o3b2o11b3o$56b2ob2o$58bo71bobo10b2o5b2o$ 56bo3bo67bob3obo8b2o5b2o$58bo83bobobobobobo$55b2obob2o66bobobobo5b3ob obobobob3o$53bobo2bo2bobo64bobobobo5b2obo3bo3bob2o$52b3o2b3o2b3o61bo2b 2ob2o2bo3b2ob2o2bo2b2ob2o$51bo3b2obob2o3bo60bobo5bobo4bo5bo5bo$51bob3o bobob3obo61bo3bo3bo5bo4bobo4bo$51bo5b3o5bo64bobo12bo3bo$55bobobobo65b 2obobob2o5bobo7bobo$55bo2bo2bo64bob2o3b2obo5bobo5bobo$57b3o67b3o3b3o8b o5bo$55b2obob2o79b2o3bobo3b2o$58bo83bo3bobo3bo$57b3o83bo7bo2$54bo7bo$ 53bobo5bobo78bob2o3b2obo$52bo3bo3bo3bo76b2o2bo3bo2b2o$53bobobobobobo78b o3bobo3bo$57bobo82bob3ob3obo$54bo7bo79bobo5bobo$53b2o7b2o80bo5bo$145b obobo$142bo3b3o3bo$142b3o5b3o$142bo9bo$143b2o5b2o2$143bo7bo$142b3o5b3o $142bobo5bobo$143b2o5b2o$143b3obob3o$142bobobobobobo$140b3o4bo4b3o$140b o4bobobo4bo$141bo4bobo4bo$147bo$143bo7bo$141bobo2b3o2bobo$141b2o9b2o$ 141b2o9b2o$144b7o$143b2o5b2o$140b2o3b2ob2o3b2o$139bo3bob2ob2obo3bo$139b 3o2bo5bo2b3o$143bobobobobo$142bo4bo4bo$141bo3b2ob2o3bo$141bobo7bobo$146b 3o$145b2ob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 10 WIDTH 2240 HEIGHT 800 ]]

Spaceships of known speeds (click above to open LifeViewer)

Universality

There is a proof sketch of LowDeaths's universality. It is on ConwayLife forums, which contains a proof-scheme covering all rules in the outer-totalistic rulespace between B3/S23 and B3678/S23678.

An explicit Rule 110 unit cell construction proves its Turing-completeness; the pattern itself is a meta-polyglot working in three other life-like cellular automata rules between B36/S23 and B368/S238; the first rule is also known as HighLife, in which the native replicator - of which several parts of the unit cell based on - has a slightly different evolution sequence.

Trivia

• The rule is named after the Geometry Dash level Low Death, a level which itself is named after another level called High Life.

External links

• LowDeath at Adam P. Goucher's Catagolue
• LowDeath at David Eppstein's Glider Database