OCA:LowDeath

LowDeath
x=0, y = 0, rule = B368/S238 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 RANDSEED 1729 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

Spaceships

There are known spaceships of speeds c/2, 2c/4, c/3, c/4, c/5, 2c/5, (1,1)c/4, (1,1)c/5 and (8,8)c/48.

x = 186, y = 43, rule = B368/S238 10bo16bo8b3o4b3o12bo14bo7b3o11b3o8bo3bo8b3o4b2o5b2o3b3o4bo36bo$6bob2ob2obo10b2ob2o6bo2bo3bo2bo10b3o11b4o8b3o15b2o3b5o3b2o9bo2bo3bo2bo4bo5b2o34b2o$5b2o7b2o8bo2bo2bo5bo6bo8b3o7b3o6bo3bo5b2o3bo8bo2bobob4o5b4obobo2bo3bo2bo3bo2bo3bo3b2o3bo33bobo$6b2obobob2o8bo3bo3bo4bo3bo2bo7b2o4bobo4b2o5bo7b3obo3b2ob2o6bo2bo2bo3bo3bo2bo2bo7b2o5b2o10b2obo34b3o$4b3o7b3o6bo7bo4bo7bobo3b2ob2o7b2ob2o4b4o3bobo9b2o7bob4o7b4obo8b2o5b2o12bo$6bo7bo10b2ob2o7bobo9b3o3bo5bo3b3o10bobo4b2o2bo2bo32bo2bo3bo2bo41b3o$b3o13b3o4bobobobo22bo9bo9b2o10b2o61bo29bobo$bo17bo6b3o22bobo9bobo8b2o72b2o22b3o4b2o$26bob3o21bobo7bobo9b2o49bobo5bobo13bo30bo$2o17b2o4bobo45b3o50bo3bo3bo15b2o$24b6o23b2o7b2o5b2obo3b2o48bo3bo3bo16b2o2b2o$23b3obo25bo9bo5b2o55b2o2bo2b2o19bo2bo$24bobo27bo7bo6b2obo4bo48bo2b3o2bo20bobo$24b2obo25b2o3bo3b2o5b4o2bo51bob3obo21bo2bo$26bo29b2ob2o9bo3bo53bo3bo23bo$26b2o28b2ob2o12bo55bobo24bo$58bo12bo3bo50bo3bo3bo$55b2obob2o11bo52b2o5b2o$55bo2bo2bo65b2o3b2o$56b2ob2o$58bo70bobo$56bo3bo66bob3obo$58bo$55b2obob2o65bobobobo$53bobo2bo2bobo63bobobobo$52b3o2b3o2b3o60bo2b2ob2o2bo$51bo3b2obob2o3bo59bobo5bobo$51bob3obobob3obo60bo3bo3bo$51bo5b3o5bo63bobo$55bobobobo64b2obobob2o$55bo2bo2bo63bob2o3b2obo$57b3o66b3o3b3o$55b2obob2o$58bo$57b3o2$54bo7bo$53bobo5bobo$52bo3bo3bo3bo$53bobobobobobo$57bobo$54bo7bo$53b2o7b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 12 WIDTH 2240 HEIGHT 560 ]]

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