User:Pzq Alex/Rules 1 transition from Life

From LifeWiki
Jump to navigation Jump to search
Radiation.png 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.

x = 3, y = 3, rule = B2e3/S23 bo$obo$obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 16 GPS 20 LOOP 20 TRACK 0 -1/2 ]]
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.

x = 11, y = 11, rule = B2i3/S23 5bo$3b2ob2o$3bobobo$b2ob3ob2o$bobobobobo$ob3ob3obo$bobobobobo$b2ob3ob 2o$3bobobo$3b2ob2o$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 15 LOOP 20 ]]
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. .

x = 43, y = 5, rule = B3-e/S23 5o15b2o3bo14bo$2ob3o14b6o14b2o$b2o2bo15bo19b2o$2bo2bo16bobo17bo$3b2o 17b3o17bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 8 GPS 12 LOOP 46 ]]
Left: natural P46
Middle: natural 2c/11d
Right: natural c/14d
(click above to open LifeViewer)
x = 6, y = 14, rule = B3-e/S23 4b2o$3b2o$4bo10$2o$2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 GPS 60 ]]
natural (58, 18)c/295 puffer (failed MMS breeder) starting from an R+block collision.
(click above to open LifeViewer)
x = 11, y = 9, rule = B3-e/S23 bo7bo$obo5bobo$bo7bo4$4bobo$4bobo$4b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 GPS 60 ]]
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.

x = 35, y = 12, rule = B3-k/S23 32b2o$o12b2o7bo8bo2bo$obo7b2ob3o4b3o8bo2bo$obo19bo7bo3bo$2bo8b3ob2o4b 3o6bo2bo$12b2o8b2o6b2o$30b2o$30bo2bo$30bo3bo$31bo2bo$31bo2bo$32b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 8 GPS 12 LOOP 32 ]]
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.

x = 17, y = 5, rule = B3-n/S23 2o12b2o$b2o8b2ob3o$10bo5bo$2b2o7b2ob3o$3b2o9b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 8 LOOP 30 ]]
A P5 and a P6.
(click above to open LifeViewer)
x = 7, y = 6, rule = B3-n/S23 5b2o$5b2o$b2o$2o$b2o$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 ]]
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.

x = 11, y = 3, rule = B3-y/S23 2bo5bo$b3o3b3o$2obo3bob2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 12 LOOP 128 ]]
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.

x = 6, y = 5, rule = B3-j/S23 o$4obo$5bo$3bo$3b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 12 LOOP 8 TRACK -1/4 1/4 ]]
The c/4d.
(click above to open LifeViewer)

B3-r/S23

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

x = 17, y = 4, rule = B3-r/S23 2b2o$3bo$obo8b6o$3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 6 LOOP 18 ]]
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.

x = 4, y = 11, rule = B34c/S23 2b2o$bo$o$b3o$3bo2$3bo$b3o$o$bo$2b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 6 LOOP 14 TRACK -1/7 0 ]]
The c/7o.
(click above to open LifeViewer)

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

x = 4, y = 3, rule = B34c/S23 2b2o$o2bo$3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 ]]
(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.

x = 7, y = 4, rule = B34k/S23 b2o$o3b3o$obo2b2o$4bobo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 12 LOOP 7 TRACK 1/7 -1/7 ]]
(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.

x = 9, y = 8, rule = B34n/S23 2bo$b2o$2o$bobo$2b2o$3bo2bo$7b2o$7bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 ]]
(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.

x = 5, y = 4, rule = B34j/S23 b3o$o2bo$2o2bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ ZOOM 8 ]]
(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.

x = 13, y = 7, rule = B34t/S23 3o7b3o2$bobo$10b3o$2b3o6bo$11bo$11bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 8 LOOP 40 ]]
P8, and P10. (click above to open LifeViewer)

B34w/S23

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

x = 4, y = 7, rule = B34w/S23 o$2o$3o$b3o$3o$2o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 6 LOOP 18 ]]
c/2o, and P6
(click above to open LifeViewer)

B34z/S23

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

x = 13, y = 8, rule = B34z/S23 b2o$o2bo8bo$b3o6b3o$b2o7bo$3bo7b2o$3b3o5bo$2bo2bo$3b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 8 LOOP 24 ]]
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.

x = 3, y = 5, rule = B35e/S23 3o$bo2$bo$3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 16 GPS 6 LOOP 8 ]]
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.

x = 21, y = 19, rule = B35a/S23 4o7b6o$4o6bob4obo$4o7b6o$4o7bo4bo7$2b3o6b2o$o4bo4bo2bo$b6o4b2o$4bobo$ 5b2o$17b3o$12b3o2bo2bo$12bobo3b2o$12bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 8 LOOP 14 ]]
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.

x = 12, y = 14, rule = B35n/S23 3o3b3o$3o3b3o$bo4bo$7b3o$6bo2bo$8bo$bo5bobo$3o$3o$6bo$6b2ob3o$6b2ob2o$ 9bo$8b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 8 GPS 12 LOOP 60 ]]
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 (Catagoluehere) by apgsearching a nearby rule B34e5y/S23.

B35q/S23

Similar to Life.

B35j/S23

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

x = 9, y = 15, rule = B35j/S23 5bo$5b2o$5bobo$b2o3b3o$3o3b2o$bobo$2b2o2$2b2o$bobo$3o3b2o$b2o3b3o$5bob o$5b2o$5bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
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.

x = 4, y = 4, rule = B36c/S23 3o$o2bo2$b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 12 GPS 8 TRACK -1/7 0 LOOP 14 ]]
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.

x = 5, y = 5, rule = B37e/S23 2o$o2bo$o3bo$bobo$2bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ZOOM 6 GPS 26 LOOP 208 ]]
I-heptomino becomes (11,11)c/52 puffer
(click above to open LifeViewer)

B8

B38/S23

For details see this article: Pedestrian Life.

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.

x = 2, y = 6, rule = B3/S2-n3 bo$bo$bo$o$o$o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ GPS 4 THUMBSIZE 2 ]]
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