OCA:DrighLife

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DrighLife
x=64, y = 64, rule = B367/S23 ! #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
Rulestring 23/367
B367/S23
Rule integer 6344
Character Explosive
Black/white reversal B0123478/S034678
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DrighLife is a Life-like cellular automaton with the rulestring B367/S23, in which cells survive from one generation to the next if they have 2 or 3 neighbours, and are born if they have 3, 6, or 7 neighbours. The name is a combination of DryLife (B37/S23) and HighLife (B36/S23).

This rule is explosive as small patterns like pi-heptomino may exhibit chaotic growth. However, the smallest solid 1 × N pattern that exhibits infinite growth is 1 × 33.

Still lifes

The list of still lifes in DrighLife is identical to the list in HighLife, as B7 requires at least one of the adjacent cells to have four or more neighbours, making still lifes with the possibility of B7 impossible.

The long boat is much more common, as the V-pentomino and W-pentomino evolve into a long boat. Loaves can still form in other ways.

Oscillators

The p7 and p10 from HighLife work in this rule.

x = 110, y = 45, rule = B367/S23 b2o3b2o4b2obo14bob2o6b2obo$2bo3b2o4bob2o14b2obo6bob2o14b2obo6b2obo14b 2o2b2obo6b2obo$bo8b2o16b2o8b2o4b2o12bob2o6bob2o15bo2bob2o6bob2o$b2o3b 2o2bo18bo8bo5bo11b2o8b2o4b2o12bo7b2o2b2o4b2o$5bobo3bo16bo10bo5bo10bo9b o5bo13b2o6bo3bo5bo$b2o2bo4b2o16b2o8b2o4b2o11bo9bo5bo21bo3bo5bo$bobobo 6b2obo14bob2o6b2obo12b2o8b2o4b2o12b2o6b2o2b2o4b2o$3bo2b2o4bob2o14b2obo 6bob2o14b2obo4bo5bo14bo2b2obo6b2obo$2b2o3bo2b2o4b2o16b2o2b2o4b2o12bob 2o5bo5bo12bo3bob2o6bob2o$6bo3bo5bo18bo2bo5bo11b2o4b2o2b2o4b2o12b2o6b2o 2b2o4b2o$6b2o3bo5bo16bo4bo5bo10bo5bo3bo5bo21bo3bo5bo$7bo2b2o4b2o16b2o 2b2o4b2o11bo5bo3bo5bo12b2o7bo3bo5bo$6bo5b2obo14bob2o6b2obo12b2o4b2o2b 2o4b2o13bo6b2o2b2o4b2o$6b2o4bob2o14b2obo6bob2o14b2obo6b2obo14bo3b2obo 6b2obo$58bob2o6bob2o14b2o2bob2o6bob2o8$6b3o$8bobo20bo10bo$6bo2bo20b2o 10b2o27b2o28b2o$8bo21bobo8bobo26bo29b2o$31bo10bo58b2o$36b2o34bo$bo12bo bo18bo2bo28b3o$2bo13bo50b2ob2o$2obo9bob2o52bo$o13bo92bobo$obo12bo91b3o $108bo$61b2o$8bo52b2o27bo$7bo2bo50bobo25b3o$6bobo49bo3bo26bobo$8b3o46b o4bo$57bo2bo3$96b2o$97b2o$96b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 4 ]]
Four high-period oscillators found by FWKnightship. From left to right: p46, p58, p60, p138[1]
(click above to open LifeViewer)

Spaceships

x = 4, y = 3, rule = B367/S23 3o$2obo$b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 16 TRACK 1/4 0 GPS 2 ]]
The most common orthogonal spaceship by far, more common than Life's XWSSes (which don't work in DrighLife), but not as common as the glider. It's 2c/8, glide symmetric.
(click above to open LifeViewer)
Catagoluehere
x = 24, y = 6, rule = B367/S23 2bo5bo12bo$bo7bo8bob3o$2ob2ob2ob2o6bo2bo2bo$bob2ob2obo7bobo2bo$2bo5bo 8b2ob2o$20b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 TRACK 0 3/8 LOOP 112 GPS 4 ]]
These 3c/8 mechanisms (failed puffer on the left, complete spaceship on the right) were found by May13
(click above to open LifeViewer)
x = 76, y = 13, rule = B367/S23 5b2o19b2o20b2o7b5o7b2o$4bo3bo5b2ob2o5bo3bo18bo3bo4b3ob3o4bo3bo$3b2o8b 3ob3o8b2o16b2o7bobo3bobo7b2o$b4obo2bo4b2ob2o4bo2bob4o12b4obo2bobo9bobo 2bob4o$o2bobo21bobo2bo10bo2bobo5b3o2bo2b3o5bobo2bo$b2o5bo4b2obob2o4bo 5b2o12b2o5bo3bobobobobo3bo5b2o$2b5o6b7o6b5o14b5o19b5o$5b2o5b2o2bo2b2o 5b2o20b2o19b2o$14b5o$16bo37b2obo3bob2o$12b3o3b3o33b2ob2ob2ob2o$13bo5bo 34b2o2bobo2b2o$56b2o3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 6 ]]
3c/8 p24 and p48 spaceships also found by May13
(click above to open LifeViewer)
x = 13, y = 21, rule = B367/S23 3b2o3b2o$3b2o3b2o3$5b3o$4bo3bo$4bo3bo2$6bo$4b2ob2o$4bobobo$bobobobobobo$bob2obob2obo$o2bob3obo2bo$2ob 7ob2o$o2bo2bo2bo2bo$b2obo3bob2o$3b2o3b2o$4b2ob2o$5bobo$6bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
A 2c/5 orthogonal spaceship
(click above to open LifeViewer)
Catagoluehere

References

  1. FWKnightship (May 2, 2021). Re: Miscellaneous Discoveries in Other Cellular Automata (discussion thread) at the ConwayLife.com forums

External links