Difference between revisions of "User:Drelectron8/DrighLife"

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{{stub}}
{{Rule
{{Rule
|name            = DrighLife
|name            = DrighLife
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|reversal        = B0123478/S034678
|reversal        = B0123478/S034678
|ruleinteger    = 6344
|ruleinteger    = 6344
}}{{stub}}
}}
'''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 {{rl|DryLife}} (B37/S23) and {{rl|HighLife}} (B36/S23).
'''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 {{rl|DryLife}} (B37/S23) and {{rl|HighLife}} (B36/S23).


This rule is explosive as small patterns like [[pi-heptomino]] may exhibit [[chaotic growth]].
This rule is explosive as small patterns like [[pi-heptomino]] may exhibit [[chaotic growth]]. However, the smallest solid [[one-cell-thick pattern|{{times|1|N}}]] pattern that exhibits infinite growth is {{times|1|33}}.
 
== Patterns ==
=== Still lifes ===
The list of still lifes in DrighLife is identical to the list in {{rl|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 ==
=== Oscillators ===
 
The [[OCA:HighLife/p7|p7]] and [[OCA:HighLife/p10|p10]] from HighLife work in this rule.


{{EmbedViewer
{{EmbedViewer
|rle = x = 91, y = 41, rule = B367/S23
|rle = x = 110, y = 45, rule = B367/S23
2bo3bo3bobobo12bobobo3bobobo8bobobo3bobobo11bo3bobobo3bobobo2$2bo3bo3b
b2o3b2o4b2obo14bob2o6b2obo$2bo3b2o4bob2o14b2obo6bob2o14b2obo6b2obo14b
o16bo7bo3bo8bo7bo3bo11bo7bo3bo3bo2$2bobobo3bobobo12bobobo3bobobo8bobob
2o2b2obo6b2obo$bo8b2o16b2o8b2o4b2o12bob2o6bob2o15bo2bob2o6bob2o$b2o3b
o3bo3bo11bo3bobobo3bobobo2$6bo3bo3bo16bo3bo3bo8bo3bo3bo3bo11bo7bo3bo3b
2o2bo18bo8bo5bo11b2o8b2o4b2o12bo7b2o2b2o4b2o$5bobo3bo16bo10bo5bo10bo9b
o2$6bo3bobobo12bobobo3bobobo8bobobo3bobobo11bo3bobobo3bobobo12$6b3o19b
o5bo13b2o6bo3bo5bo$b2o2bo4b2o16b2o8b2o4b2o11bo9bo5bo21bo3bo5bo$bobobo
o10bo20b2o20b2o$8bobo16b2o10b2o18bo21b2o$6bo2bo17bobo8bobo41b2o$8bo19b
6b2obo14bob2o6b2obo12b2o8b2o4b2o12b2o6b2o2b2o4b2o$3bo2b2o4bob2o14b2obo
o10bo21bo$33b2o21b3o$32bo2bo20b2ob2o$bo12bobo41bo$2bo13bo71bobo$2obo9b
6bob2o14b2obo4bo5bo14bo2b2obo6b2obo$2b2o3bo2b2o4b2o16b2o2b2o4b2o12bob
ob2o71b3o$o13bo74bo$obo12bo34b2o$50b2o19bo$50bobo17b3o$8bo38bo3bo18bob
2o5bo5bo12bo3bob2o6bob2o$6bo3bo5bo18bo2bo5bo11b2o4b2o2b2o4b2o12b2o6b2o
o$7bo2bo35bo4bo$6bobo37bo2bo$8b3o2$77b2o$78b2o$77b2o!
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!
|position = center
|position = center
|viewerconfig = #C [[ ZOOM 6 ]]
|viewerconfig = #C [[ AUTOSTART GPS 16 ZOOM 4 ]]
|caption = Four high-period oscillators found by FWKnightship. From left to right: p46, p58, p60, p138<ref name="post129440" />
|caption = Four high-period oscillators found by FWKnightship. From left to right: p46, p58, p60, p138<ref name="post129440" />
|style = width:320px;
|style = width:320px;
}}
}}


== Spaceships ==
=== Spaceships ===
{|
{{EmbedViewer
{{EmbedViewer
|rle = x = 4, y = 3, rule = B367/S23
3o$2obo$b2o!
|viewerconfig = #C [[ AUTOSTART ZOOM 43.5 TRACKLOOP 8 1/4 0 GPS 2 ]]
|position = center
|caption = 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.
|style = width:320px;
|apgcode = xq8_6b7/b367s23
}}
|{{EmbedViewer
|rle = x = 24, y = 6, rule = B367/S23
|rle = x = 24, y = 6, rule = B367/S23
2bo5bo12bo$bo7bo8bob3o$2ob2ob2ob2o6bo2bo2bo$bob2ob2obo7bobo2bo$2bo5bo
21bo$18bob3o$2obo3bob2o6bo2bo2bo$2ob2ob2ob2o6bobo2bo$2o2bobo2b2o6b2ob
8b2ob2o$20b2o!
2o$2b2o3b2o11b2o!
[[ ZOOM 12 THEME 0 TRACK 0 3/8 LOOP 112 ]]
|viewerconfig = #C [[ AUTOSTART ZOOM 18 TRACK 0 3/8 LOOP 32 GPS 4 ]]
|position = center
|position = center
|viewerconfig = #C [[ ZOOM 6 ]]
|caption = These 3c/8 mechanisms (failed puffer on the left, complete spaceship on the right) were found by May13
|caption = These space ships (p/8 on the right) was accidentally found by May13
|style = width:320px;
|style = width:320px;
}}
|}
{{EmbedViewer
|rle = 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!
|position = center
|viewerconfig = #C [[ ZOOM 6 AUTOSTART GPS 6 TRACKLOOP 48 0 18/48 ]]
|caption = 3c/8 p24 and p48 spaceships also found by May13
}}
{{EmbedViewer
|rle = 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!
|position = center
|viewerconfig = #C [[ AUTOSTART GPS 3 ZOOM 12 TRACKLOOP 5 0 2/5 ]]
|caption = A 2c/5 orthogonal spaceship
|apgcode = xq5_ggy4ggm2n2c8gzhh04elwehxh04r0ar4z11y411d8t8621/b367s23
}}
}}


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== External links ==
== External links ==
* {{LinkCatagolueRule|b367s23}}
* {{LinkCatagolueRule|b367s23}}
[[Category:Life-like cellular automata]]

Latest revision as of 14:23, 22 February 2026

Radiation.png This article is a stub. You can help LifeWiki by expanding it.
DrighLife
x=64, y = 64, rule = B367/S23 ! #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 23/367
B367/S23
Rule integer 6344
Character Explosive
Black/white reversal B0123478/S034678

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.

Patterns

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 [[ AUTOSTART GPS 16 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 [[ AUTOSTART ZOOM 43.5 TRACKLOOP 8 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 21bo$18bob3o$2obo3bob2o6bo2bo2bo$2ob2ob2ob2o6bobo2bo$2o2bobo2b2o6b2ob 2o$2b2o3b2o11b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 18 TRACK 0 3/8 LOOP 32 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 AUTOSTART GPS 6 TRACKLOOP 48 0 18/48 ]]
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 ]] #C [[ AUTOSTART GPS 3 ZOOM 12 TRACKLOOP 5 0 2/5 ]]
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