Rulestring
Name
Description
B0123478/S01234678
AntiLife
The black/white reversal of Conway’s Game of Life.
B0123478/S34678
InverseLife
A rule by Jason Rampe, showing similar oscillators and gliders to Conway’s Game of Life. The black/white reversal of B3678/S23.
B1/S012345678
H-trees
An exploding rule where H-shaped branches grow from patterns’ border.
B1/S1
Gnarl
A simple exploding rule by Kellie Evans that forms complex patterns from even a single live cell.
B1357/S02468
Fredkin
A rule in which, like Replicator, every pattern is a replicator. Also known as “Replicator 2”.
B1357/S1357
Replicator
A rule in which every pattern is a replicator.
B2/S
Seeds
An exploding rule by Brian Silverman in which every cell dies in every generation. It has many simple orthogonal spaceships, though it is in general difficult to create patterns that don’t explode.
B2/S0
Live Free or Die
An exploding rule in which only cells with no neighbors survive. It has many spaceships, puffers, and oscillators, some of infinitely extensible size and period.
B234/S
Serviettes
An exploding rule in which every cell dies every generation (like seeds). This rule is of interest because of the fabric-like beauty of the patterns that it produces. Also known as “Persian Rug”.
B25678/S5678
Iceballs
Small masses of solid living cells flicker in and out of existence. Some reach a critical mass and begin to slowly grow. Also known as “Ice nine”.
B3/S012345678
Life without death
An expanding rule that produces complex flakes, featuring dense wickstretchers named “ladder”. Also known as “Flakes” or “Inkspot”.
B3/S023
DotLife
An exploding rule closely related to Conway’s Life. The B-heptomino is a common infinite growth pattern in this rule, though it can be stabilized into a spaceship.
B3/S12
Flock
Patterns tend to quickly settle into dominos, duoplets and period 2 oscillators. There is a common period 14 shuttle oscillator involving the pre-beehive.
B3/S1234
Mazectric
An expanding rule that crystalizes to form maze-like designs that tend to be straighter (ie. have longer “halls”) than the standard maze rule.
B3/S12345
Maze
An expanding rule that crystalizes to form maze-like designs.
B3/S1237
SnowLife
B3/S124
Corrosion of Conformity
A rule similar to Mazectric but without S3. A slow burn from almost any starting pattern, resulting in a rusting away of the local continuum.
B3/S13
LowLife
B3/S2
This rule has 6 small still lifes, the tub, the hive, the aircraft carrier, the loaf, and the mango, and the pond. However, there are no still lifes with more than 8 and less than 20 cells. There are also a few common oscillators, including the blinker and the toad, and lots of rare ones. No still lifes with more than 8 cells have appeared in B3/S2/C1.
B3/S23
Conway’s Life
A chaotic rule that is by far the most well-known and well-studied. It exhibits highly complex behavior.
B3/S238
EightLife
Also known as “Pulsar Life”.
B3/S45678
Coral
An exploding rule in which patterns grow slowly and form coral-like textures.
B34/S34
3-4 Life
An exploding rule that was initially thought to be a stable alternative to Conway’s Life, until computer simulation found that most patterns tend to explode. It has many small oscillators and simple period 3 orthogonal and diagonal spaceships.
B34/S456
Bacteria
B345/S2
Blinkers
B345/S4567
Assimilation
A very stable rule that forms permanent diamond-shaped patterns with partially filled interiors. Like in 2×2, patterns made of blocks will permanently remain made of blocks.
B345/S5
Long Life
A stable rule that gets its name from the fact that it has many simple extremely high period oscillators.
B3457/S4568
Gems
An exploding rule with many smaller high-period oscillators and a c/5648 spaceship.
B34578/S456
Gems Minor
An exploding rule with many smaller high-period oscillators and a c/2068 spaceship.
B35/S234578
Land Rush
B3567/S15678
Bugs
B35678/S4678
Holstein
B35678/S5678
Diamoeba
A chaotic pattern that forms large diamonds with chaotically oscillating boundaries. Known to have quadratically-growing patterns. Like in 2×2, patterns made of blocks will permanently remain made of blocks.
B357/S1358
Amoeba
A chaotic rule that is well balanced between life and death; it forms patterns with chaotic interiors and wildly moving boundaries.
B357/S238
Pseudo Life
A chaotic rule with evolution that resembles Conway’s Life, but few patterns from Life work in this rule because the glider is unstable.
B36/S125
2×2
A chaotic rule with many simple still lifes, oscillators and spaceships. Its name comes from the fact that it sends patterns made up of 2×2 blocks to patterns made up of 2×2 blocks.
B36/S235
Blinker Life
An exploding rule where the T-tetromino is a blinker puffer, appropriate because it evolves into traffic light in Life, also made of blinkers.
B36/S23
HighLife
A chaotic rule very similar to Conway’s Life that is of interest because it has a simple replicator.
B367/S125678
Slow Blob
B3678/S235678
Stains
A stable rule in which most patterns tend to “fill in” bounded regions. Most nearby rules (such as coagulations) tend to explode.
B3678/S34678
Day & Night
A stable rule that is symmetric under on-off reversal. Many patterns exhibiting highly complex behavior have been found for it.
B368/S238
LowDeath
HighLife’s replicator works in this rule, albeit with a different evolution sequence due to the result of B38/S23’s pedestrian effect.
B368/S245
Morley
A rule in which random patterns tend to stabilize extremely quickly. Has a very common slow-moving spaceship and slow-moving puffer. Also known as “Move”.
B37/S1234
Mazectric with Mice
Some “mice” run back and forth in the halls of maze.
B37/S12345
Maze with Mice
B37/S23
DryLife
An exploding rule closely related to Conway’s Life, named after the fact that the standard spaceships bigger than the glider do not function in the rule. Has a small puffer based on the R-pentomino, which resembles the switch engine in the possibility of combining several to form a spaceship.
B378/S012345678
Plow World
B378/S235678
Coagulations
An exploding rule in which patterns tend to expand forever, producing a thick “goo” as it does so. Suprisingly, Coagulations actually has one

*less*birth condition than Stains. B38/S23 Pedestrian Life A close Life variant with a number of distinctive natural growth patterns and (5,2)c/190 oblique spaceships. B38/S238 HoneyLife B45/S12345 Electrified Maze B45678/S2345 Walled cities A stable rule by David Macfarlane that forms centers of pseudo-random activity separated by walls. B4678/S35678 Vote 4/5 A modification of the standard Gérard Vichniac voting rule, also known as “Anneal”, used as a model for majority voting. B5678/S45678 Vote Standard Gérard Vichniac voting rule, also known as “Majority”, used as a model for majority voting.