# User:Pzq Alex/Rules 1 transition from Life

This article is a stub. You can help LifeWiki by expanding it. |

This page documents isotropic non-totalistic rules that are only one transition (excluding B0) from Life.

## Contents

# Birth transitions

## B1

### B1c3/S23

An explosive rule characterized by the exploding dot replicator.

### B1e3/S23

Also explosive, but fills a growing diamond-shaped region with density of about 50%.

## B2

### B2c3/S23

Random soups expand and create some temporary stable objects.

### B2e3/S23

Random soups expand and emit some small five-bit spaceships.

The common five-bitter in B2e3/S23. (click above to open LifeViewer) |

### B2k3/S23

Similar to 3-4 Life, soups create expanding chaotic blobs, shooting gliders outwards.

### B2a3/S23

Explosive, as with Seeds.

### B2i3/S23

Similar to DryLife, soups create expanding clouds of chaos, shooting gliders outwards.

Common P20 in B2i3/S23. (click above to open LifeViewer) |

### B2n3/S23

Similar to DryLife, soups create expanding clouds of chaos, shooting gliders and occasionally xWSSes outwards.

## B3

### B3-c/S23

Similar to Life, but honey farms do not form naturally.

### B3-e/S23

Similar to Life. There is a natural P46 (not the twin bees shuttle!), a 2c/11 diagonal, and a c/14 diagonal. There is also a (58, 18)c/295 oblique puffer evolving from an R+block collision, a 15c/59 orthogonal puffer evolving from a pi+two tubs collision. .

Left: natural P46 Middle: natural 2c/11d Right: natural c/14d (click above to open LifeViewer) |

natural (58, 18)c/295 puffer (failed MMS breeder) starting from an R+block collision. (click above to open LifeViewer) |

natural 15c/59o puffer starting from a pi+two tubs collision. (click above to open LifeViewer) |

### B3-k/S23

Similar to Life, but with some special oscillators and a natural 5c/16o.

Left to right: P2, P4, P4, 5c/16o. (click above to open LifeViewer) |

### B3-a/S23

Patterns never escape their bounding diamonds.

### B3-i/S23

Patterns never escape their bounding boxes.

### B3-n/S23

Similar to Life, with a P5, a P6, and a 27c/118 diagonal puffer.

A P5 and a P6. (click above to open LifeViewer) |

27c/118d puffer starting from a B+block collision. (click above to open LifeViewer) |

### B3-y/S23

Dense ash, with a 3c/8o puffer arising from the twin bees.

The 3c/8o puffer. (click above to open LifeViewer) |

### B3-q/S23

Very dense ash, especially considering that it doesn't tend to expand as much as regular Life. A few still lifes exist that can't in normal Life, but much more commonly, the absence of B3q allows objects to be closer together than they normally can be.

### B3-j/S23

Patterns don't seem to escape their bounding boxes, although not strictly like B3-i/S23. A few highly varied rare still lifes appear more commonly, as well as a decent number that don't work in regular Life. Also has some unique oscillators and a unique c/4d. No familiar constellations form.

The c/4d. (click above to open LifeViewer) |

### B3-r/S23

Fishhooks are more common, since they evolve from the procrestinator sequence.

Left: a predecessor of a semi-common 22-cell still life. Right: the worker bee works without external support. (click above to open LifeViewer) |

## B4

### B34c/S23

Similar to Life. There is a c/7o that consists of two copies of the bottom part of the loafer.

The c/7o. (click above to open LifeViewer) |

The century evolves into a 23c/110o puffer.

(click above to open LifeViewer) |

### B34e/S23

Fleets are instead a pair of eleveners. Other than that and the lack of working honey farms, not much difference from Life.

### B34k/S23

Similar to Life, with a natural c/7d.

(click above to open LifeViewer) |

### B34a/S23

Explosive, similar to 34 Life.

### B34i/S23

Another "expanding chaos" rule, similar to DryLife.

### B34n/S23

Similar to Life, with a natural c/2o puffer.

(click above to open LifeViewer) |

### B34y/S23

Similar to Life.

### B34q/S23

Similar to Life.

### B34j/S23

Features a common breeder that is actually a failedrep.

(click above to open LifeViewer) |

### B34r/S23

Also called WetLife. Similar to DryLife, but patterns emit only xWSSes, hence its name, as opposed to DryLife.

### B34t/S23

Similar to Life. There is a unique P8 and a P10.

P8, and P10. (click above to open LifeViewer) |

### B34w/S23

Features a quadratic failed replicator from the traffic light sequence, making it extremely common.

c/2o, and P6 (click above to open LifeViewer) |

### B34z/S23

Similar to Life, with a unique P4, and a unique rotating P12.

P4 and P12. (click above to open LifeViewer) |

## B5

### B35c/S23

Similar to DryLife.

### B35e/S23

Similar to Life, but less active, with a P4.

The P4. (click above to open LifeViewer) |

### B35k/S23

Similar to Life.

### B35a/S23

Similar to Life. The 4x4 solid block is a P4. Also has a P8, and a glide-reflective c/12d, and a glide reflective 5c/14o.

The P4, the P8, the c/12d, and the 5c/14o. (click above to open LifeViewer) |

### B35i/S23

Similar to Life.

### B35n/S23

Also called LifeWithoutGliders. There is a P60 rotating pre-pulsar hassler.

The P60. (click above to open LifeViewer) |

### B35y/S23

This rules is also called "hatlife", since a hat is a c/3o spaceship. Traffic lights are much more common because the 5-cell V spark (the one that defines B5y) becomes a T-tetromino. Similarly, since a line of six cells creates two of these, the same happens here, forming an interchange. Common beehive predecessors, such as the L-tetromino, also turn into an interchange. Long barges are more coommon since a fleet turns into two long barges and a bun becomes a fleet in two generations. This isn't to say that other still lifes don't exist, though; everything except the beehive still appears scattered throughout. Pulsars are more common, although they're not everywhere. Lifespan/explosiveness compared to Life is unchanged.

On September 30, 2021, forums user Inferno found a 3c/16 diagonal spaceship (**Catagolue**: here) by apgsearching a nearby rule B34e5y/S23.

### B35q/S23

Similar to Life.

### B35j/S23

Similar to Life, with a natural c/3o puffer.

The c/3o puffer. (click above to open LifeViewer) |

### B35r/S23

Similar to Life.

## B6

### B36c/S23

Similar to Life, with a unique c/7o.

The c/7o. (click above to open LifeViewer) |

### B36e/S23

### B36k/S23

### B36a/S23

### B36i/S23

Pretty much indistinguishable from Life.

### B36n/S23

Also called Ship. The HighLife replicator works, but closer to Life in other respects.

## B7

### B37c/S23

Explosive, with dynamics comparable to DryLife, as exemplified by R-pentomino.

### B37e/S23

Settles down similar to Life, but with a common infinite growth pattern arising from the I-heptomino. Also known as PiLife.

I-heptomino becomes (11,11)c/52 puffer (click above to open LifeViewer) |

- Forums thread for B37e/S23 (discussion thread) at the ConwayLife.com forums

## B8

### B38/S23

For details see this article: Pedestrian Life.

- Forums thread for B38/S23 (discussion thread) at the ConwayLife.com forums

# Survival transitions

## S0

### B3/S023

Has an article: DotLife.

## S1

### B3/S1c23

Very explosive.

### B3/S1e23

Very explosive.

## S2

### B3/S2-c3

Dynamics similar to Life, has some unique P2 and a unique P4.

### B3/S2-e3

Dynamics similar to Life, has a c/4d and a 2c/8o.

### B3/S2-k3

Dynamics similar to Life, has unique P3, P4, and P8.

### B3/S2-a3

Abundant P2 oscillators exist, also has several c/3o's and a 2c/4o.

### B3/S2-i3

Has both the glider and the c/5o T-ship from tlife. Honeycombs form from phi sparks. The cap is a period-4 oscillator.

### B3/S2-n3

Settles much more quickly, but still has dense ash, with the main difference being that traffic lights and honey farms don't form, leaving fleets as the only common constellation.

period-3 oscillator; appears approximately twice on average in a 1000×1000 soup (click above to open LifeViewer) |

## S3

### B3/S23-c

The pi is a 3c/10o puffer.

### B3/S23-e

Has a unique P80, and a (12,6)c/40 knightship, and a c/3o.

### B3/S23-k

Similar to Life, with a unique c/4d.

### B3/S23-a

Much more stable than Life, has two c/2o's based on the B-heptomino.

### B3/S23-i

Has a unique P10, and a rotating P8 (two of them can non-trivially interact to form a larger P8).

### B3/S23-n

### B3/S23-y

### B3/S23-q

### B3/S23-j

### B3/S23-r

## S4

### B3/S234c

### B3/S234e

### B3/S234k

### B3/S234a

### B3/S234i

### B3/S234n

### B3/S234y

Explosive, as exemplified by R-pentomino, which is a failed (20,7)c/68 puffer and explodes chaotically in a breeder-like manner.

### B3/S234q

### B3/S234j

### B3/S234r

### B3/S234t

### B3/S234w

### B3/S234z

Lasts longer and expands more than Life, but still not explosive. The pi heptomino becomes a dead spark coil and a beehive. Hats are also more common.

## S5

### B3/S235c

### B3/S235e

### B3/S235k

### B3/S235a

An expanding blob of chaos, which is active in most places (more than in DryLife but less than in B3/S235i); stable patterns can be seen in the active region. Gliders are fast enough to escape the expansion, and there's a 2c/4 orthogonal spaceship that's much more common than the three XWSSes (which all work).

### B3/S235i

An expanding blob of chaos, which is active pretty much everywhere, although patterns can be seen in the active region; it doesn't look like grey goo. Gliders are fast enough to escape the expansion. The T-pentomino is a period-14 oscillator.

### B3/S235n

### B3/S235y

### B3/S235q

### B3/S235j

### B3/S235r

## S6

### B3/S236c

Explosive, as exemplified by bobo$o2b2o$o2bo! .

### B3/S236e

### B3/S236k

Explosive, as exemplified by R-pentomino.

### B3/S236a

Explosive, as exemplified by pi-heptomino.

### B3/S236i

### B3/S236n

Explosive, as exemplified by R-pentomino.

## S7

### B3/S237c

Explosive, as exemplified by century.

### B3/S237e

## S8

### B3/S238

For details see Article: EightLife.

# External links

- Rules 1 transition from Life (discussion thread) at the ConwayLife.com forums