B3 / S23
The original ruleset devised by John Conway in 1970, it's what "Conway's Game of Life" refers to by default. Balances growth and decay closely enough to produce gliders, oscillators, and stable structures.
B36 / S23
Identical to Life except cells are also born with 6 neighbors. That single extra birth condition introduces a self-replicating pattern (the "replicator"), which doesn't exist in standard Life.
B2 / S0
Cells are born with exactly 2 neighbors, and no cell ever survives. This makes for chaotic, explosive growth with no stable or oscillating structures, since nothing persists more than one step.
B1 / S12
Cells are born with just a single neighbor, causing patterns to sprawl outward aggressively from even the smallest seed. Sparse, spindly growth rather than the denser blobs typical of other rulesets.
B3678 / S34678
Symmetric between "on" and "off" states, swapping live and dead cells in any pattern produces the same behavior. Produces sprawling, symmetric growth and is one of the few rulesets where negative space matters as much as the live cells.
B234 / S
No survival condition at all, so cells never live past one generation, only births from 2, 3, or 4 neighbors. Generates intricate, lace-like, fractal-style patterns rather than moving or oscillating structures.
B3 / S012345678
Survival happens at any neighbor count, meaning live cells never die. Growth only ever accumulates, producing coral-like, ever-expanding structures that never shrink or stabilize.
B345 / S5
Named for producing unusually long-lived oscillators and slow-evolving patterns compared to standard Life, with births requiring a denser neighborhood (3-5 neighbors) and a narrow survival window (exactly 5).
B368 / S245
Named for supporting spaceships that behave like "pushed" objects, sparse birth/survival conditions (3,6,8 births; 2,4,5 survival) generate a small zoo of ships and puffers distinct from Life's. Useful for movement-based pattern engineering.
B3 / S23
The glider is the smallest, most common, and first-discovered spaceship in Game of Life. It travels diagonally across the grid at a speed of c/4. Gliders are important because they are easily produced by glider guns and rakes, for example the Gosper glider gun
B3 / S23
The Gosper glider gun is the first known gun, and indeed the first known finite pattern with unbounded growth, found by Bill Gosper in November 1970. It consists of two queen bee shuttles stabilized by two blocks.
B36 / S23
Replicators occur naturally in some cellular automata. Possibly the most well-known example in a Life-like cellular automaton is the replicator in HighLife (B36/S23), which repeatedly copies itself along a diagonal line every 12 generations
B36 / S23
The bomber is a replicator-based spaceship in HighLife that occurs naturally and was discovered by Nathan Thompson. It can be formed by placing a blinker in the path of the replicator as shown below.
B3678 / S34678
A spaceship in the Day & Night cellular automaton with a population that fluctuates between 34 and 38 cells.
B3678 / S34678
A spaceship in the Day & Night cellular automaton with that looks like a flying fireball with a population that fluctuates between 209 and 240 cells.
B3 / S23
Pentadecathlon is a period-15 oscillator that was found in 1970 by John Conway. It is the only known oscillator that is a polyomino in more than one phase (besides the blinker).