Day & Night is a Life-like cellular automaton in which cells survive from one generation to the next if they have 3, 4, 6, 7, or 8 neighbours, and are born if they have 3, 6, 7, or 8 neighbours.
Day & Night is the most well-known self-complementary rule; that is, if all grid cells have their on/off state exchanged, the history of the pattern is the same as the history of the original.
Nathan Thompson explored the rule starting in April 1997, and David Bell discussed the rule in detail the following November.
Soups and large unstable patterns in Day & Night tend to evolve into large blobby "islands" with active, "frothy"[2] exteriors and almost completely filled interiors, save for some photonegativeoscillators and still lifes. These areas slowly shrink and degenerate, larger ones taking longer, leaking out patterns from their exteriors. Unusual spewing behavior can be observed as well, almost resembling failed spaceships or puffers.
Most of these islands will disappear completely, the resulting ash being much less dense than ash in Conway's Game of Life. However, some can stabilize into large still lifes or trivial oscillators. Escaping spaceships are rare, though some might form from small active areas that shrink into their predecessors.
x = 64, y = 64, rule = B3678/S34678
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3o$b2o2b3o2bobo3bo2bo4b2ob3o2b4obo3b3o7bo2bo2bobobobo$2ob2o4b2obo7bob
5obo3b2ob2ob3o2b2ob4o5bob2obobo$2ob8o4bo2bo4bo5bob3o9bob2obob6o3b2o2b
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bobo2b3o2bo2bo2bob3obo3bo2bobobo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ WIDTH 700 HEIGHT 700 AUTOSTART PAUSE 1 GPS 30 T 30 LOOP 200 ]]
[[ T 30 T 50 ]]
[[ X -25 Y 20 ZOOM 10 ]]
[[ T 60 GPS 10 ]]
[[ T 60 T 120 ]]
[[ X -60 ZOOM 15 ]]
[[ T 140 T 160 ]]
[[ X 0 Y 0 ZOOM 6.1 ]]
An example of "spewing" behavior, from a 64x64 soup (click above to open LifeViewer)
Oscillators
Day & Night is home to many different periods of oscillators. Here are the smallest known examples of each period up to 16:
Many periods of c/2 spaceships are known, but different reduced speeds are common as well. The S8 transition allows many of the spaceships in Day & Night to be stable.
Rocket
The rocket was the first spaceship found in Day & Night, and it appears spontaneously from many reactions which have symmetry around a line. This spaceship is probably the reason that this particular Life rule was chosen for Day & Night. It is unexpectedly large and has the amazingly large period of 40.
Day & Night has a few behavioral features that are typically unfavorable for gun construction, such as uncommon spaceships and little to no recurring evolutionary sequences. Nevertheless, many guns have been constructed in the rule, mainly due to the existence of extensiblesparky oscillators that can be constructed for a wide range of periods.
↑LuveelVoom (May 31, 2025). Message in #naturalistic on the Conwaylife Lounge Discord server , which found the first c/8d (but laughably far from the minimal... yes indeed)