Latest revision as of 13:42, 8 August 2024

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

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Rules by the toggled INT transition

B0	B1c	B1e	B2c	B2e	B2k	B2a	B2i	B2n	B3c	B3e	B3k	B3a	B3i	B3n	B3y	B3q
B3j	B3r	B4c	B4e	B4k	B4a	B4i	B4n	B4y	B4q	B4j	B4r	B4t	B4w	B4z	B5c	B5e
B5k	B5a	B5i	B5n	B5y	B5q	B5j	B5r	B6c	B6e	B6k	B6a	B6i	B6n	B7c	B7e	B8
S0	S1c	S1e	S2c	S2e	S2k	S2a	S2i	S2n	S3c	S3e	S3k	S3a	S3i	S3n	S3y	S3q
S3j	S3r	S4c	S4e	S4k	S4a	S4i	S4n	S4y	S4q	S4j	S4r	S4t	S4w	S4z	S5c	S5e
S5k	S5a	S5i	S5n	S5y	S5q	S5j	S5r	S6c	S6e	S6k	S6a	S6i	S6n	S7c	S7e	S8

With C1 census on Catagolue								Other

Birth transitions

B1

B1c3/S23

An explosive rule characterized by the exploding dot replicator as a result of B1c.

B1c3/S23 at Adam P. Goucher's Catagolue

B1e3/S23

Also explosive, but fills a growing diamond-shaped region with density of about 38%.

B1e3/S23 at Adam P. Goucher's Catagolue

B2

B2c3/S23

Random soups expand and create some temporary stable objects.

B2c3/S23 at Adam P. Goucher's Catagolue

B2e3/S23

Known as xvaLifeg. 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 [[ ZOOM 16 GPS 20 LOOP 20 TRACK 0 -1/2 ]]

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

B2e3/S23 at Adam P. Goucher's Catagolue

B2k3/S23

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

B2k3/S23 at Adam P. Goucher's Catagolue

B2a3/S23

Explosive, as with Seeds.

B2a3/S23 at Adam P. Goucher's Catagolue

B2i3/S23

Main article: OCA: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 [[ ZOOM 12 GPS 15 LOOP 20 ]]

Common p20 in B2i3/S23
(click above to open LifeViewer)

B2i3/S23 at Adam P. Goucher's Catagolue

B2n3/S23

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

B2n3/S23 at Adam P. Goucher's Catagolue

B3

B3-c/S23

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

B3-c/S23 at Adam P. Goucher's Catagolue

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 [[ 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-e/S23 at Adam P. Goucher's Catagolue

B3-k/S23

Similar to Life, but with some special oscillators and a natural 5c/16o. A pentadecathlon can reflect gliders with its pipsquirted domino spark.

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 [[ ZOOM 8 GPS 12 LOOP 32 ]]

Left to right: p2, p4, p4, 5c/16o
(click above to open LifeViewer)

x = 43, y = 43, rule = B3-k/S23
23bo$23bo$22bobo$23bo$23bo$23bo$23bo$22bobo$23bo$23bo3$20bobo$20b3o$
19bobo$25bo$16b2o8bo$15bobo6b3o$2bo4bo9bo$2ob4ob2o18bo$2bo4bo4b2o15b2o
$13b2o13b2o$12b2o15b2o4bo4bo$14bo18b2ob4ob2o$25bo9bo4bo$16b3o6bobo$16b
o8b2o$17bo$21bobo$20b3o$20bobo3$19bo$19bo$18bobo$19bo$19bo$19bo$19bo$
18bobo$19bo$19bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ ZOOM 8 HEIGHT 500 GPS 7.5 LOOP 15 ]]

p15 glider loop
(click above to open LifeViewer)

B3-k/S23 at Adam P. Goucher's Catagolue

B3-a/S23

Patterns never escape their bounding diamonds.

B3-a/S23 at Adam P. Goucher's Catagolue

B3-i/S23

Patterns never escape their bounding boxes.

B3-i/S23 at Adam P. Goucher's Catagolue

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 [[ 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-n/S23 at Adam P. Goucher's Catagolue

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-y/S23 at Adam P. Goucher's Catagolue

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-q/S23 at Adam P. Goucher's Catagolue

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 [[ ZOOM 12 GPS 12 LOOP 8 TRACK -1/4 1/4 ]]

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

B3-j/S23 at Adam P. Goucher's Catagolue

B3-r/S23

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

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

B3-r/S23 at Adam P. Goucher's Catagolue

B4

B34c/S23

See also 4diagonal

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 [[ 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)

B34c/S23 at Adam P. Goucher's Catagolue

B34e/S23

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

B34e/S23 at Adam P. Goucher's Catagolue

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 [[ ZOOM 12 GPS 12 LOOP 7 TRACK 1/7 -1/7 ]]

(click above to open LifeViewer)

The queen bee does not function as a shuttle but is an 8c/22 puffer.

x = 7, y = 6, rule = B34k/S23
2b3o$2b3o$bo3bo$o5bo$o5bo$o2bo2bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ ZOOM 12 GPS 22 TRACK 0 -8/22 ]]

(click above to open LifeViewer)

B34k/S23 at Adam P. Goucher's Catagolue

B34a/S23

Explosive, similar to 3-4 Life.

B34a/S23 at Adam P. Goucher's Catagolue

B34i/S23

Another "expanding chaos" rule, similar to DryLife.

B34i/S23 at Adam P. Goucher's Catagolue

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)

B34n/S23 at Adam P. Goucher's Catagolue
B34n/S23 (klife) (discussion thread) at the ConwayLife.com forums

B34y/S23

Similar to Life.

B34y/S23 at Adam P. Goucher's Catagolue

B34q/S23

Similar to Life.

B34q/S23 at Adam P. Goucher's Catagolue

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)

B34j/S23 at Adam P. Goucher's Catagolue

B34r/S23

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

B34r/S23 at Adam P. Goucher's Catagolue

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 [[ ZOOM 12 GPS 8 LOOP 40 ]]

p8 and p10
(click above to open LifeViewer)

B34t/S23 at Adam P. Goucher's Catagolue

B34w/S23

See also Wlife

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 [[ ZOOM 12 GPS 6 LOOP 18 ]]

c/2o, and p6
(click above to open LifeViewer)

B34w/S23 at Adam P. Goucher's Catagolue
wlife (discussion thread) at the ConwayLife.com forums

B34z/S23

See also Zlife

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 [[ ZOOM 12 GPS 8 LOOP 24 ]]

p4 and p12
(click above to open LifeViewer)

B34z/S23 at Adam P. Goucher's Catagolue

B5

B35c/S23

Similar to DryLife.

B35c/S23 at Adam P. Goucher's Catagolue

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 [[ ZOOM 16 GPS 6 LOOP 8 ]]

The p4
(click above to open LifeViewer)

B35e/S23 at Adam P. Goucher's Catagolue

B35k/S23

Similar to Life.

B35k/S23 at Adam P. Goucher's Catagolue

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 [[ ZOOM 12 GPS 8 LOOP 14 ]]

The p4, the p8, the c/12d, and the 5c/14o
(click above to open LifeViewer)

B35a/S23 at Adam P. Goucher's Catagolue

B35i/S23

Similar to Life.

B35i/S23 at Adam P. Goucher's Catagolue

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 [[ ZOOM 8 GPS 12 LOOP 60 ]]

The p60
(click above to open LifeViewer)

B35n/S23 at Adam P. Goucher's Catagolue

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 common 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.

B35y/S23 at Adam P. Goucher's Catagolue
B35y/S23 (hatlife) (discussion thread) at the ConwayLife.com forums

B35q/S23

Similar to Life, with a small c/4o.

x = 6, y = 7, rule = B35q/S23
2o$obo$2bob2o$4b2o$2bob2o$obo$2o!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ ZOOM 12 GPS 12 LOOP 40 TRACK 1/4 0 ]]

The c/4o
(click above to open LifeViewer)

B35q/S23 at Adam P. Goucher's Catagolue

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)

B35j/S23 at Adam P. Goucher's Catagolue

B35r/S23

Similar to Life, with a 2c/20 diagonal spaceship.

x = 8, y = 6, rule = B35r/S23
2bo$bobo$o2bobo$b2obo$5bobo$6bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ ZOOM 12 GPS 12 LOOP 40 TRACK -1/10 1/10 ]]

The 2c/20d
(click above to open LifeViewer)

B35r/S23 at Adam P. Goucher's Catagolue

B6

B36c/S23

Similar to Life, with a unique 2c/14o.

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

The 2c/14o
(click above to open LifeViewer)

B36c/S23 at Adam P. Goucher's Catagolue

B36i/S23

Pretty much indistinguishable from Life.

B36i/S23 at Adam P. Goucher's Catagolue

B36n/S23

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

B36n/S23 at Adam P. Goucher's Catagolue

B7

B37c/S23

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

B37c/S23 at Adam P. Goucher's Catagolue

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 [[ ZOOM 6 GPS 26 LOOP 208 ]]

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

It can pull a beehive behind it to make a spaceship.

x = 12, y = 13, rule = B37e/S23
10bo$9bobo$9bobo$3bobo4bo$bo3bo$bo$o5bo$bob2ob2o$2b2o2bobo$7b2o$3b2o2b
o$4b3o$5bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ ZOOM 6 GPS 26 LOOP 208 TRACK -11/52 11/52 ]]

The 11c/52d spaceship
(click above to open LifeViewer)

DryLife's 9c/28 pond puffer works in this rule, and there are numerous c/2 puffers arising from two B-heptominoes. A 74c/382o dirty puffer has been discovered as well.

B37e/S23 at Adam P. Goucher's Catagolue
Forums thread for B37e/S23 (discussion thread) at the ConwayLife.com forums

B8

B38/S23

Main article: OCA:Pedestrian Life

B38/S23 at Adam P. Goucher's Catagolue
Forums thread for B38/S23 (discussion thread) at the ConwayLife.com forums

Survival transitions

S0

B3/S023

Main article: DotLife

B3/S023 at Adam P. Goucher's Catagolue
Dotlife(B3/S023) (discussion thread) at the ConwayLife.com forums

S1

B3/S1c23

Very explosive.

B3/S1c23 at Adam P. Goucher's Catagolue

B3/S1e23

Very explosive.

B3/S1e23 at Adam P. Goucher's Catagolue

S2

B3/S2-c3

Dynamics similar to Life, has some unique p2s and a unique p4.

B3/S2-c3 at Adam P. Goucher's Catagolue

B3/S2-e3

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

B3/S2-e3 at Adam P. Goucher's Catagolue

B3/S2-k3

Dynamics similar to Life, has unique p3, p4, and p8.

B3/S2-k3 at Adam P. Goucher's Catagolue

B3/S2-a3

Abundant p2 oscillators exist, also has several c/3o's and a 2c/4o.

B3/S2-a3 at Adam P. Goucher's Catagolue

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-i3 at Adam P. Goucher's Catagolue

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)

B3/S2-n3 at Adam P. Goucher's Catagolue

S3

B3/S23-c

The pi is a 3c/10o puffer.

B3/S23-c at Adam P. Goucher's Catagolue

B3/S23-e

Has a unique p80, and a (12,6)c/40 knightship, and a c/3o.

B3/S23-e at Adam P. Goucher's Catagolue
B3/S23-e (discussion thread) at the ConwayLife.com forums

B3/S23-k

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

B3/S23-k at Adam P. Goucher's Catagolue

B3/S23-a

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

B3/S23-a at Adam P. Goucher's Catagolue

B3/S23-i

Settles quickly. Has a unique p10, and a rotating p8 (two of them can non-trivially interact to form a larger p8).

B3/S23-i at Adam P. Goucher's Catagolue

B3/S23-n

Settles quickly. Gliders don't work. Most honey farms die out, but one predecessor (the one that is two blocks too close to each other) is a p3.

B3/S23-n at Adam P. Goucher's Catagolue

B3/S23-y

Settles slightly quicker than Life. Traffic lights are rarer; the T-tetromino dies, but different sequences converging to the hollow or solid 3×3 square still work.

B3/S23-y at Adam P. Goucher's Catagolue

B3/S23-q

Interchange is a p6 oscillator. There is a fairly common p10 where one phase is two pi heptominoes facing each other with a bounding box of 3×9. Honey farms don't work (every predecessor does something different), fleets become four blocks, and the common Life spark of two touching preponds becomes two loaves. Glider is slightly more common because the 3o$3o$2bo! spark evolves to a glider.

B3/S23-q at Adam P. Goucher's Catagolue

B3/S23-j

Settles quickly. Ash differs from Life in the form of no gliders, fewer (but not no) honey farms, ship-ties appear by themselves instead of in pairs, more integrals, and the B-heptaplet is a 2c/4o spaceship. The 9-cell queen bee form is a c/2o true-period spaceship.

B3/S23-j at Adam P. Goucher's Catagolue
Integralife (B3/S23-j) (discussion thread) at the ConwayLife.com forums

B3/S23-r

Mangoes are very common, and beehive at beehive and bipond also more common than usual. Several relatives of the pi heptomino evolve into a constellation of four loaves via pre-pulsar. The fleet evolves into the super pond.

B3/S23-r at Adam P. Goucher's Catagolue

S4

B3/S234c

Pretty much indistinguishable from Life.

B3/S234c at Adam P. Goucher's Catagolue
B3/S234c (discussion thread) at the ConwayLife.com forums

B3/S234e

Traffic lights become four blinkers with a tub in the middle. Honey farms don't work.

B3/S234e at Adam P. Goucher's Catagolue

B3/S234k

Mildly explosive. Gliders don't work.

B3/S234k at Adam P. Goucher's Catagolue

B3/S234a

Explosive enough that it's just one single expanding blob.

B3/S234a at Adam P. Goucher's Catagolue

B3/S234i

Moderately explosive. Still lifes and blinkers do appear in the expanding mass, but they don't survive for long.

B3/S234i at Adam P. Goucher's Catagolue

B3/S234n

Moderately explosive. Traffic lights become small lakes instead.

B3/S234n at Adam P. Goucher's Catagolue

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/S234y at Adam P. Goucher's Catagolue

B3/S234q

Mildly explosive. Pairs of mirrored buns appear quite frequently. Has two c/4 diagonal spaceships, the one that's not the glider is described in tlife.

B3/S234q at Adam P. Goucher's Catagolue

B3/S234j

Almost indistinguishable from Life.

B3/S234j at Adam P. Goucher's Catagolue

B3/S234r

Highly explosive.

B3/S234r at Adam P. Goucher's Catagolue

B3/S234t

Mildly explosive. Mangoes are more common; otherwise, the ash is almost indistinguishable from Life. Occasionally, a still life will appear that relies on S4t.

B3/S234t at Adam P. Goucher's Catagolue

B3/S234w

Not explosive. There is a unique p6, p9 and 2c/7d, among many other interesting patterns.

x = 50, y = 22, rule = B3/S234w
15bo$2o12bobo8b2o2b3o2b2o9bo$b2o10bo3bo7b2o2bo4b2o9b2o$2bo11bobo12b3o
13b3o$15bo14b2o15b2o$47b3o8$8b2o38bo$7bo2bo37b2o$3bo3bo2bo13bo22bobo$
3bo3bobo13bobo$2bo7bo7b2o3b2o6bo4b2o7b2o$3bobo3bo8b2o4bo6b2o3b2o7b3o$
2bo2bo3bo20bobo$2bo2bo25bo15b2o$3b2o43bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ ZOOM 8 ]]

From top-left to top-right: p6, p9, p10, 2c/7d; from bottom-left to bottom-right: p46, p30, glider tagalong
(click above to open LifeViewer)
RLE: here Plaintext: here

The diagonal speed limit is c/3, not c/4, and there is an explicit example of a c/3d.

x = 79, y = 30, rule = B3/S234w
4bo9bo7bo12bo29bo11bo$3bobo6b2ob2o3b2ob2o10b2o28b2o10b2o$2bo3bo8b2o3b2o12bob2o6b3o18b3o8bobo$2bo3bo4bo13bo11b2o5b4o19b2o$bobobobo4b2o9b2o8b3o2b2o7b2o18b3o$3bobo6b2o9b2o13bo5b2o2b2o$2bo3bo9bo3bo19bo8b2o$2b2ob2o8b3ob3o16bob2ob2o2bob2o$2b2ob2o9b2ob2o17bo2b2o2bobob2o$bobobobo8b2ob2o21bo$o2bobo2bo4b4o3b4o$b2o3b2o5bob2o3b2obo15b3o$15b2o3b2o16bob2o$38bo3bo$11bo13bo12bob2o$12bobobo3bobobo13bo$13b2o2bobo2b2o12b3o$13b2o2bobo2b2o7b4obo$16bo3bo11b2o$35b3o$12b2o9b2o12bo$12bo11bo7bo$13b2obo3bob2o8b2o3bo$14bo7bo5b4ob2ob2o$28b4o2bob2o$29bo3bo$30bo$32b2o$33bo$32bo!
#C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]]
#C [[ ZOOM 8 ]]

A 3c/7 and 6c/14 puffer, c/3d, 2c/7d and c/4d
(click above to open LifeViewer)

B3/S234w at Adam P. Goucher's Catagolue

B3/S234z

See also Zlife

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.

B3/S234z at Adam P. Goucher's Catagolue

S5

B3/S235c

B3/S235c at Adam P. Goucher's Catagolue

B3/S235e

Traffic lights form small lakes, and honey farms from with a tub in the middle. Explosive on first glance, but actually just very chaotic.

B3/S235e at Adam P. Goucher's Catagolue
LakeLife (discussion thread) at the ConwayLife.com forums

B3/S235k

B3/S235k at Adam P. Goucher's Catagolue

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/S235a at Adam P. Goucher's Catagolue

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/S235i at Adam P. Goucher's Catagolue
ilife (discussion thread) at the ConwayLife.com forums

B3/S235n

B3/S235n at Adam P. Goucher's Catagolue

B3/S235y

B3/S235y at Adam P. Goucher's Catagolue

B3/S235q

B3/S235q at Adam P. Goucher's Catagolue

B3/S235j

B3/S235j at Adam P. Goucher's Catagolue

B3/S235r

Pi-heptominoes form 3c/10 block puffers. The Eater 3 can be reduced to a loaf and canoe, resulting in very small hasslers. Sailboat, 120P34 and p52 R-pentomino hassler can be reduced this way.

B3/S235r at Adam P. Goucher's Catagolue

S6

B3/S236c

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

B3/S236c at Adam P. Goucher's Catagolue

B3/S236e

B3/S236e at Adam P. Goucher's Catagolue

B3/S236k

Explosive, as exemplified by R-pentomino.

B3/S236k at Adam P. Goucher's Catagolue

B3/S236a

Explosive, as exemplified by pi-heptomino.

B3/S236a at Adam P. Goucher's Catagolue

B3/S236i

B3/S236i at Adam P. Goucher's Catagolue

B3/S236n

Explosive, as exemplified by R-pentomino.

B3/S236n at Adam P. Goucher's Catagolue

S7

B3/S237c

Explosive, as exemplified by century.

B3/S237c at Adam P. Goucher's Catagolue

B3/S237e

Appears explosive, but actually just extremely chaotic.

B3/S237e at Adam P. Goucher's Catagolue

S8

B3/S238

Main article: OCA:EightLife

B3/S238 at Adam P. Goucher's Catagolue
B3/S238 (discussion thread) at the ConwayLife.com forums

External links

Rules 1 transition from Life (discussion thread) at the ConwayLife.com forums
Oscillator Discussion Thread (1-transition) (discussion thread) at the ConwayLife.com forums
Oscillators in Near-Life rules not supported by Life (discussion thread) at the ConwayLife.com forums

@@ Line 2: / Line 2: @@
 This page documents [[isotropic non-totalistic]] rules that are only one transition (excluding B0) from Life.
-{|class="wikitable"
+== Quick navigation ==
-! colspan="17" | Rules by the toggled INT transition
+{|class="wikitable" style="margin:auto;width:300px;text-align:center;"
+!colspan="17"| Rules by the toggled INT transition
+|-
+|colspan="17"|
 |-
 | B0
@@ Line 14: / Line 18: @@
 | [[#B2i3/S23|B2i]]
 | [[#B2n3/S23|B2n]]
-| [[#B3-c/S23|B3c]]
+|style="background:#b0e0b0;"| [[#B3-c/S23|B3c]]
-| [[#B3-e/S23|B3e]]
+|style="background:#b0e0b0;"| [[#B3-e/S23|B3e]]
-| [[#B3-k/S23|B3k]]
+|style="background:#b0e0b0;"| [[#B3-k/S23|B3k]]
-| [[#B3-a/S23|B3a]]
+|style="background:#b0e0b0;"| [[#B3-a/S23|B3a]]
-| [[#B3-i/S23|B3i]]
+|style="background:#b0e0b0;"| [[#B3-i/S23|B3i]]
-| [[#B3-n/S23|B3n]]
+|style="background:#b0e0b0;"| [[#B3-n/S23|B3n]]
-| [[#B3-y/S23|B3y]]
+|style="background:#b0e0b0;"| [[#B3-y/S23|B3y]]
-| [[#B3-q/S23|B3q]]
+|style="background:#b0e0b0;"| [[#B3-q/S23|B3q]]
 |-
-| [[#B3-j/S23|B3j]]
+|style="background:#b0e0b0;"| [[#B3-j/S23|B3j]]
-| [[#B3-r/S23|B3r]]
+|style="background:#b0e0b0;"| [[#B3-r/S23|B3r]]
-| [[#B34c/S23|B4c]]
+|style="background:#b0e0b0;"| [[#B34c/S23|B4c]]
-| [[#B34e/S23|B4e]]
+|style="background:#b0e0b0;"| [[#B34e/S23|B4e]]
-| [[#B34k/S23|B4k]]
+|style="background:#b0e0b0;"| [[#B34k/S23|B4k]]
 | [[#B34a/S23|B4a]]
 | [[#B34i/S23|B4i]]
-| [[#B34n/S23|B4n]]
+|style="background:#b0e0b0;"| [[#B34n/S23|B4n]]
-| [[#B34y/S23|B4y]]
+|style="background:#b0e0b0;"| [[#B34y/S23|B4y]]
-| [[#B34q/S23|B4q]]
+|style="background:#b0e0b0;"| [[#B34q/S23|B4q]]
 | [[#B34j/S23|B4j]]
 | [[#B34r/S23|B4r]]
-| [[#B34t/S23|B4t]]
+|style="background:#b0e0b0;"| [[#B34t/S23|B4t]]
 | [[#B34w/S23|B4w]]
-| [[#B34z/S23|B4z]]
+|style="background:#b0e0b0;"| [[#B34z/S23|B4z]]
 | [[#B35c/S23|B5c]]
-| [[#B35e/S23|B5e]]
+|style="background:#b0e0b0;"| [[#B35e/S23|B5e]]
 |-
-| [[#B35k/S23|B5k]]
+|style="background:#b0e0b0;"| [[#B35k/S23|B5k]]
-| [[#B35a/S23|B5a]]
+|style="background:#b0e0b0;"| [[#B35a/S23|B5a]]
-| [[#B35i/S23|B5i]]
+|style="background:#b0e0b0;"| [[#B35i/S23|B5i]]
-| [[#B35n/S23|B5n]]
+|style="background:#b0e0b0;"| [[#B35n/S23|B5n]]
-| [[#B35y/S23|B5y]]
+|style="background:#b0e0b0;"| [[#B35y/S23|B5y]]
-| [[#B35q/S23|B5q]]
+|style="background:#b0e0b0;"| [[#B35q/S23|B5q]]
-| [[#B35j/S23|B5j]]
+|style="background:#b0e0b0;"| [[#B35j/S23|B5j]]
-| [[#B35r/S23|B5r]]
+|style="background:#b0e0b0;"| [[#B35r/S23|B5r]]
-| [[#B36c/S23|B6c]]
+|style="background:#b0e0b0;"| [[#B36c/S23|B6c]]
-| [[#B36e/S23|B6e]]
+|style="background:#b0e0b0;"| [[#B36e/S23|B6e]]
-| [[#B36k/S23|B6k]]
+|style="background:#b0e0b0;"| [[#B36k/S23|B6k]]
-| [[#B36a/S23|B6a]]
+|style="background:#b0e0b0;"| [[#B36a/S23|B6a]]
-| [[#B36i/S23|B6i]]
+|style="background:#b0e0b0;"| [[#B36i/S23|B6i]]
-| [[#B36n/S23|B6n]]
+|style="background:#b0e0b0;"| [[#B36n/S23|B6n]]
-| [[#B37c/S23|B7c]]
+|style="background:#b0e0b0;"| [[#B37c/S23|B7c]]
-| [[#B37e/S23|B7e]]
+|style="background:#b0e0b0;"| [[#B37e/S23|B7e]]
-| [[#B38/S23|B8]]
+|style="background:#b0e0b0;"| [[#B38/S23|B8]]
 |-
-| [[#B3/S023|S0]]
+|style="background:#b0e0b0;"| [[#B3/S023|S0]]
 | [[#B3/S1c23|S1c]]
 | [[#B3/S1e23|S1e]]
-| [[#B3/S2-c3|S2c]]
+|style="background:#b0e0b0;"| [[#B3/S2-c3|S2c]]
-| [[#B3/S2-e3|S2e]]
+|style="background:#b0e0b0;"| [[#B3/S2-e3|S2e]]
-| [[#B3/S2-k3|S2k]]
+|style="background:#b0e0b0;"| [[#B3/S2-k3|S2k]]
-| [[#B3/S2-a3|S2a]]
+|style="background:#b0e0b0;"| [[#B3/S2-a3|S2a]]
-| [[#B3/S2-i3|S2i]]
+|style="background:#b0e0b0;"| [[#B3/S2-i3|S2i]]
-| [[#B3/S2-n3|S2n]]
+|style="background:#b0e0b0;"| [[#B3/S2-n3|S2n]]
-| [[#B3/S23-c|S3c]]
+|style="background:#b0e0b0;"| [[#B3/S23-c|S3c]]
-| [[#B3/S23-e|S3e]]
+|style="background:#b0e0b0;"| [[#B3/S23-e|S3e]]
-| [[#B3/S23-k|S3k]]
+|style="background:#b0e0b0;"| [[#B3/S23-k|S3k]]
-| [[#B3/S23-a|S3a]]
+|style="background:#b0e0b0;"| [[#B3/S23-a|S3a]]
-| [[#B3/S23-i|S3i]]
+|style="background:#b0e0b0;"| [[#B3/S23-i|S3i]]
-| [[#B3/S23-n|S3n]]
+|style="background:#b0e0b0;"| [[#B3/S23-n|S3n]]
-| [[#B3/S23-y|S3y]]
+|style="background:#b0e0b0;"| [[#B3/S23-y|S3y]]
-| [[#B3/S23-q|S3q]]
+|style="background:#b0e0b0;"| [[#B3/S23-q|S3q]]
 |-
-| [[#B3/S23-j|S3j]]
+|style="background:#b0e0b0;"| [[#B3/S23-j|S3j]]
-| [[#B3/S23-r|S3r]]
+|style="background:#b0e0b0;"| [[#B3/S23-r|S3r]]
-| [[#B3/S234c|S4c]]
+|style="background:#b0e0b0;"| [[#B3/S234c|S4c]]
-| [[#B3/S234e|S4e]]
+|style="background:#b0e0b0;"| [[#B3/S234e|S4e]]
 | [[#B3/S234k|S4k]]
 | [[#B3/S234a|S4a]]
 | [[#B3/S234i|S4i]]
 | [[#B3/S234n|S4n]]
-| [[#B3/S234y|S4y]]
+|style="background:#b0e0b0;"| [[#B3/S234y|S4y]]
 | [[#B3/S234q|S4q]]
-| [[#B3/S234j|S4j]]
+|style="background:#b0e0b0;"| [[#B3/S234j|S4j]]
 | [[#B3/S234r|S4r]]
 | [[#B3/S234t|S4t]]
-| [[#B3/S234w|S4w]]
+|style="background:#b0e0b0;"| [[#B3/S234w|S4w]]
-| [[#B3/S234z|S4z]]
+|style="background:#b0e0b0;"| [[#B3/S234z|S4z]]
 | [[#B3/S235c|S5c]]
-| [[#B3/S235e|S5e]]
+|style="background:#b0e0b0;"| [[#B3/S235e|S5e]]
 |-
-| [[#B3/S235k|S5k]]
+|style="background:#b0e0b0;"| [[#B3/S235k|S5k]]
 | [[#B3/S235a|S5a]]
 | [[#B3/S235i|S5i]]
 | [[#B3/S235n|S5n]]
-| [[#B3/S235y|S5y]]
+|style="background:#b0e0b0;"| [[#B3/S235y|S5y]]
 | [[#B3/S235q|S5q]]
 | [[#B3/S235j|S5j]]
 | [[#B3/S235r|S5r]]
 | [[#B3/S236c|S6c]]
-| [[#B3/S236e|S6e]]
+|style="background:#b0e0b0;"| [[#B3/S236e|S6e]]
 | [[#B3/S236k|S6k]]
 | [[#B3/S236a|S6a]]
-| [[#B3/S236i|S6i]]
+|style="background:#b0e0b0;"| [[#B3/S236i|S6i]]
 | [[#B3/S236n|S6n]]
 | [[#B3/S237c|S7c]]
-| [[#B3/S237e|S7e]]
+|style="background:#b0e0b0;"| [[#B3/S237e|S7e]]
-| [[#B3/S238|S8]]
+|style="background:#b0e0b0;"| [[#B3/S238|S8]]
+|-
+|colspan="17"|
+|-
+|colspan="8" style="background:#b0e0b0;"|With C1 census on Catagolue
+|colspan="9"|Other
 |}
@@ Line 118: / Line 127: @@
 === B1c3/S23 ===
 An explosive rule characterized by the exploding dot replicator as a result of B1c.
-{{LinkCatagolueRule|b1c3s23|rulename=B1c3/S23}}
+* {{LinkCatagolueRule|b1c3s23|rulename=B1c3/S23}}
 === B1e3/S23 ===
 Also explosive, but fills a growing diamond-shaped region with density of about 38%.
-{{LinkCatagolueRule|b1e3s23|rulename=B1e3/S23}}
+* {{LinkCatagolueRule|b1e3s23|rulename=B1e3/S23}}
 == B2 ==
 === B2c3/S23 ===
-Random [[soup|soups]] expand and create some temporary [[stable]] objects.
+Random [[soup]]s expand and create some temporary [[stable]] objects.
-{{LinkCatagolueRule|b2c3s23|rulename=B2c3/S23}}
+* {{LinkCatagolueRule|b2c3s23|rulename=B2c3/S23}}
 === B2e3/S23 ===
 Known as xvaLifeg. Random soups expand and emit some small five-bit spaceships.
@@ Line 133: / Line 142: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 16 GPS 20 LOOP 20 TRACK 0 -1/2 ]]
-|caption      = The common five-bitter in B2e3/S23. <br/>
+|caption      = The common five-bitter in B2e3/S23
 }}
-{{LinkCatagolueRule|b2e3s23|rulename=B2e3/S23}}
+* {{LinkCatagolueRule|b2e3s23|rulename=B2e3/S23}}
 === B2k3/S23 ===
 Similar to [[3-4 Life]], soups create expanding chaotic blobs, shooting gliders outwards.
-{{LinkCatagolueRule|b2k3s23|rulename=B2k3/S23}}
+* {{LinkCatagolueRule|b2k3s23|rulename=B2k3/S23}}
 === B2a3/S23 ===
 Explosive, as with [[Seeds]].
-{{LinkCatagolueRule|b2a3s23|rulename=B2a3/S23}}
+* {{LinkCatagolueRule|b2a3s23|rulename=B2a3/S23}}
 === B2i3/S23 ===
-Similar to [[DryLife]], soups create expanding clouds of chaos, shooting gliders outwards.
+{{Main|OCA:B2i3/S23}}
+Similar to [[DryLife]], soups create expanding clouds of chaos, shooting gliders outwards.
 {{EmbedViewer
 |rle = x = 11, y = 11, rule = B2i3/S23
@@ Line 150: / Line 160: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 12 GPS 15 LOOP 20 ]]
-|caption = Common P20 in B2i3/S23. <br/>
+|caption = Common p20 in B2i3/S23
 }}
-{{LinkCatagolueRule|b2i3s23|rulename=B2i3/S23}}
+* {{LinkCatagolueRule|b2i3s23|rulename=B2i3/S23}}
 === B2n3/S23 ===
 Similar to [[DryLife]], soups create expanding clouds of chaos, shooting gliders and occasionally xWSSes outwards.
-{{LinkCatagolueRule|b2n3s23|rulename=B2n3/S23}}
+* {{LinkCatagolueRule|b2n3s23|rulename=B2n3/S23}}
 == B3 ==
 === B3-c/S23 ===
 Similar to Life, but [[honey farm]]s do not form naturally.
-{{LinkCatagolueRule|b3-cs23|rulename=B3-c/S23}}
+* {{LinkCatagolueRule|b3-cs23|rulename=B3-c/S23}}
 === 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.
+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-pentomino|R]]+block collision, a 15c/59 orthogonal puffer evolving from a [[pi]]+two tubs collision. .
+There is also a (58, 18)c/295 oblique puffer evolving from an [[R-pentomino|R]]+block collision, a 15c/59 orthogonal puffer evolving from a [[pi]]+two tubs collision.
 {{EmbedViewer
 |rle = x = 43, y = 5, rule = B3-e/S23
@@ Line 169: / Line 179: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 8 GPS 12 LOOP 46 ]]
-|caption = Left: natural P46<br/>Middle: natural 2c/11d<br/>Right: natural c/14d<br/>
+|caption = Left: natural p46. Middle: natural 2c/11d. Right: natural c/14d
 }}
 {{EmbedViewer
@@ Line 176: / Line 186: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 8 GPS 60 ]]
-|caption = natural (58, 18)c/295 puffer (failed MMS breeder) starting from an R+block collision. <br/>
+|caption = natural (58, 18)c/295 puffer (failed MMS breeder) starting from an R+block collision
 }}
 {{EmbedViewer
@@ Line 183: / Line 193: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 8 GPS 60 ]]
-|caption = natural 15c/59o puffer starting from a pi+two tubs collision. <br/>
+|caption = natural 15c/59o puffer starting from a pi+two tubs collision
 }}
-{{LinkCatagolueRule|b3-es23|rulename=B3-e/S23}}
+* {{LinkCatagolueRule|b3-es23|rulename=B3-e/S23}}
 === B3-k/S23 ===
 Similar to Life, but with some special oscillators and a natural 5c/16o. A pentadecathlon can reflect gliders with its pipsquirted domino spark.
@@ Line 194: / Line 204: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 8 GPS 12 LOOP 32 ]]
-|caption = Left to right: P2, P4, P4, 5c/16o. <br/>
+|caption = Left to right: p2, p4, p4, 5c/16o
 }}
 {{EmbedViewer
@@ Line 207: / Line 217: @@
 |caption = p15 glider loop
 }}
-{{LinkCatagolueRule|b3-ks23|rulename=B3-k/S23}}
+* {{LinkCatagolueRule|b3-ks23|rulename=B3-k/S23}}
 === B3-a/S23 ===
 Patterns never escape their bounding diamonds.
-{{LinkCatagolueRule|b3-as23|rulename=B3-a/S23}}
+* {{LinkCatagolueRule|b3-as23|rulename=B3-a/S23}}
 === B3-i/S23 ===
 Patterns never escape their bounding boxes.
-{{LinkCatagolueRule|b3-is23|rulename=B3-i/S23}}
+* {{LinkCatagolueRule|b3-is23|rulename=B3-i/S23}}
 === B3-n/S23 ===
-Similar to Life, with a P5, a P6, and a 27c/118 diagonal puffer.
+Similar to Life, with a p5, a p6, and a 27c/118 diagonal puffer.
 {{EmbedViewer
 |rle = x = 17, y = 5, rule = B3-n/S23
@@ Line 221: / Line 231: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 12 GPS 8 LOOP 30 ]]
-|caption = A P5 and a P6. <br/>
+|caption = A p5 and a p6
 }}
 {{EmbedViewer
@@ Line 228: / Line 238: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 8 ]]
-|caption = 27c/118d puffer starting from a B+block collision. <br/>
+|caption = 27c/118d puffer starting from a B+block collision
 }}
-{{LinkCatagolueRule|b3-ns23|rulename=B3-n/S23}}
+* {{LinkCatagolueRule|b3-ns23|rulename=B3-n/S23}}
 === B3-y/S23 ===
 Dense ash, with a 3c/8o puffer arising from the [[twin bees shuttle|twin bees]].
@@ Line 238: / Line 248: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 12 LOOP 128 ]]
-|caption = The 3c/8o puffer. <br/>
+|caption = The 3c/8o puffer
 }}
-{{LinkCatagolueRule|b3-ys23|rulename=B3-y/S23}}
+* {{LinkCatagolueRule|b3-ys23|rulename=B3-y/S23}}
 === 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.
-{{LinkCatagolueRule|b3-qs23|rulename=B3-q/S23}}
+* {{LinkCatagolueRule|b3-qs23|rulename=B3-q/S23}}
 === 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.
@@ Line 251: / Line 261: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 12 GPS 12 LOOP 8 TRACK -1/4 1/4 ]]
-|caption = The c/4d. <br/>
+|caption = The c/4d
 }}
-{{LinkCatagolueRule|b3-js23|rulename=B3-j/S23}}
+* {{LinkCatagolueRule|b3-js23|rulename=B3-j/S23}}
 === B3-r/S23 ===
@@ Line 262: / Line 272: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 12 GPS 6 LOOP 18 ]]
-|caption = Left: a predecessor of a semi-common 22-cell still life.<br/> Right: the [[worker bee]] works without external support. <br/>
+|caption = Left: a predecessor of a semi-common 22-cell still life. Right: the [[worker bee]] works without external support
 }}
-{{LinkCatagolueRule|b3-rs23|rulename=B3-r/S23}}
+* {{LinkCatagolueRule|b3-rs23|rulename=B3-r/S23}}
 == B4 ==
 === B34c/S23 ===
+:''See also [[User:DroneBetter/4diagonal|4diagonal]]''
 Similar to Life. There is a c/7o that consists of two copies of the bottom part of the [[loafer]].
 {{EmbedViewer
@@ Line 274: / Line 285: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 12 GPS 6 LOOP 14 TRACK -1/7 0 ]]
-|caption = The c/7o. <br/>
+|caption = The c/7o
 }}
 The century evolves into a 23c/110o puffer.
@@ Line 283: / Line 294: @@
 |viewerconfig = #C [[ ZOOM 8 ]]
 }}
-{{LinkCatagolueRule|b34cs23|rulename=B34c/S23}}
+* {{LinkCatagolueRule|b34cs23|rulename=B34c/S23}}
 === B34e/S23 ===
 Fleets are instead a pair of [[elevener]]s. Other than that and the lack of working honey farms, not much difference from Life.
-{{LinkCatagolueRule|b34es23|rulename=B34e/S23}}
+* {{LinkCatagolueRule|b34es23|rulename=B34e/S23}}
 === B34k/S23 ===
 Similar to Life, with a natural c/7d.
 {{EmbedViewer
 |rle = x = 7, y = 4, rule = B34k/S23
@@ Line 296: / Line 307: @@
 |viewerconfig = #C [[ ZOOM 12 GPS 12 LOOP 7 TRACK 1/7 -1/7 ]]
 }}
-{{LinkCatagolueRule|b34ks23|rulename=B34k/S23}}
+The queen bee does not function as a shuttle but is an 8c/22 puffer.
+{{EmbedViewer
+|rle = x = 7, y = 6, rule = B34k/S23
+b3o$2b3o$bo3bo$o5bo$o5bo$o2bo2bo!
+|position = center
+|viewerconfig = #C [[ ZOOM 12 GPS 22 TRACK 0 -8/22 ]]
+}}
+* {{LinkCatagolueRule|b34ks23|rulename=B34k/S23}}
 === B34a/S23 ===
 Explosive, similar to [[3-4 Life]].
-{{LinkCatagolueRule|b34as23|rulename=B34a/S23}}
+* {{LinkCatagolueRule|b34as23|rulename=B34a/S23}}
 === B34i/S23 ===
 Another "expanding chaos" rule, similar to [[DryLife]].
-{{LinkCatagolueRule|b34is23|rulename=B34i/S23}}
+* {{LinkCatagolueRule|b34is23|rulename=B34i/S23}}
 === B34n/S23 ===
 Similar to Life, with a natural c/2o puffer.
@@ Line 312: / Line 331: @@
 |viewerconfig = #C [[ ZOOM 8 ]]
 }}
-{{LinkCatagolueRule|b34ns23|rulename=B34n/S23}}
+* {{LinkCatagolueRule|b34ns23|rulename=B34n/S23}}
-{{LinkForumThread|f=11|t=2800|title=B34n/S23 (klife)}}
+* {{LinkForumThread|f=11|t=2800|title=B34n/S23 (klife)}}
 === B34y/S23 ===
 Similar to Life.
-{{LinkCatagolueRule|b34ys23|rulename=B34y/S23}}
+* {{LinkCatagolueRule|b34ys23|rulename=B34y/S23}}
 === B34q/S23 ===
 Similar to Life.
-{{LinkCatagolueRule|b34qs23|rulename=B34q/S23}}
+* {{LinkCatagolueRule|b34qs23|rulename=B34q/S23}}
 === B34j/S23 ===
 Features a common breeder that is actually a failedrep.
@@ Line 328: / Line 347: @@
 |viewerconfig = #C [[ ZOOM 8 ]]
 }}
-{{LinkCatagolueRule|b34js23|rulename=B34j/S23}}
+* {{LinkCatagolueRule|b34js23|rulename=B34j/S23}}
 === B34r/S23 ===
 Also called WetLife. Similar to [[DryLife]], but patterns emit only xWSSes, hence its name, as opposed to DryLife.
-{{LinkCatagolueRule|b34rs23|rulename=B34r/S23}}
+* {{LinkCatagolueRule|b34rs23|rulename=B34r/S23}}
 === B34t/S23 ===
-Similar to Life. There is a unique P8 and a P10.
+Similar to Life. There is a unique p8 and a p10.
 {{EmbedViewer
 |rle = x = 13, y = 7, rule = B34t/S23
@@ Line 340: / Line 359: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 12 GPS 8 LOOP 40 ]]
-|caption = P8, and P10.
+|caption = p8 and p10
 }}
-{{LinkCatagolueRule|b34ts23|rulename=B34t/S23}}
+* {{LinkCatagolueRule|b34ts23|rulename=B34t/S23}}
 === B34w/S23 ===
+:''See also [[User:Evin/Wlife|Wlife]]''
 Features a quadratic failed replicator from the traffic light sequence, making it extremely common.
 {{EmbedViewer
@@ Line 350: / Line 370: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 12 GPS 6 LOOP 18 ]]
-|caption = c/2o, and P6 <br/>
+|caption = c/2o, and p6
 }}
-{{LinkCatagolueRule|b34ws23|rulename=B34w/S23}}
+* {{LinkCatagolueRule|b34ws23|rulename=B34w/S23}}
-{{LinkForumThread|f=11|t=2283|title=wlife}}
+* {{LinkForumThread|f=11|t=2283|title=wlife}}
 === B34z/S23 ===
-Similar to Life, with a unique P4, and a unique rotating P12.
+:''See also [[User:C28/Zlife|Zlife]]''
+Similar to Life, with a unique p4, and a unique rotating p12.
 {{EmbedViewer
 |rle = x = 13, y = 8, rule = B34z/S23
@@ Line 362: / Line 383: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 12 GPS 8 LOOP 24 ]]
-|caption = P4 and P12.
+|caption = p4 and p12
 }}
-{{LinkCatagolueRule|b34zs23|rulename=B34z/S23}}
+* {{LinkCatagolueRule|b34zs23|rulename=B34z/S23}}
 == B5 ==
 === B35c/S23 ===
 Similar to [[DryLife]].
-{{LinkCatagolueRule|b35cs23|rulename=B35c/S23}}
+* {{LinkCatagolueRule|b35cs23|rulename=B35c/S23}}
 === B35e/S23 ===
-Similar to [[Life]], but less active, with a P4.
+Similar to [[Life]], but less active, with a p4.
 {{EmbedViewer
 |rle = x = 3, y = 5, rule = B35e/S23
@@ Line 376: / Line 398: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 16 GPS 6 LOOP 8 ]]
-|caption = The P4. <br/>
+|caption = The p4
 }}
-{{LinkCatagolueRule|b35es23|rulename=B35e/S23}}
+* {{LinkCatagolueRule|b35es23|rulename=B35e/S23}}
 === B35k/S23 ===
 Similar to Life.
-{{LinkCatagolueRule|b35ks23|rulename=B35k/S23}}
+* {{LinkCatagolueRule|b35ks23|rulename=B35k/S23}}
 === 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.
+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.
 {{EmbedViewer
 |rle = x = 21, y = 19, rule = B35a/S23
@@ Line 390: / Line 412: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 12 GPS 8 LOOP 14 ]]
-|caption = The P4, the P8, the c/12d, and the 5c/14o. <br/>
+|caption = The p4, the p8, the c/12d, and the 5c/14o
 }}
-{{LinkCatagolueRule|b35as23|rulename=B35a/S23}}
+* {{LinkCatagolueRule|b35as23|rulename=B35a/S23}}
 === B35i/S23 ===
 Similar to Life.
-{{LinkCatagolueRule|b35is23|rulename=B35i/S23}}
+* {{LinkCatagolueRule|b35is23|rulename=B35i/S23}}
 === B35n/S23 ===
-Also called LifeWithoutGliders. There is a P60 rotating pre-pulsar hassler.
+Also called LifeWithoutGliders. There is a p60 rotating pre-pulsar hassler.
 {{EmbedViewer
 |rle = x = 12, y = 14, rule = B35n/S23
@@ Line 404: / Line 426: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 8 GPS 12 LOOP 60 ]]
-|caption = The P60. <br/>
+|caption = The p60
 }}
-{{LinkCatagolueRule|b35ns23|rulename=B35n/S23}}
+* {{LinkCatagolueRule|b35ns23|rulename=B35n/S23}}
 === B35y/S23 ===
 This rules is also called "hatlife", since a hat is a c/3o spaceship.
@@ Line 412: / Line 434: @@
 On September 30, 2021, forums user Inferno found a 3c/16 diagonal spaceship ({{LinkCatagolue|xq16_08m6gd4z746|rule=b34e5ys23|style=brief}}) by apgsearching a nearby rule B34e5y/S23.
-{{LinkCatagolueRule|b35ys23|rulename=B35y/S23}}
+* {{LinkCatagolueRule|b35ys23|rulename=B35y/S23}}
-{{LinkForumThread|f=11|t=5718|title=B35y/S23 (hatlife)}}
+* {{LinkForumThread|f=11|t=5718|title=B35y/S23 (hatlife)}}
 === B35q/S23 ===
 Similar to Life, with a small c/4o.
@@ Line 421: / Line 443: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 12 GPS 12 LOOP 40 TRACK 1/4 0 ]]
-|caption = The c/4o. <br/>
+|caption = The c/4o
 }}
-{{LinkCatagolueRule|b35qs23|rulename=B35q/S23}}
+* {{LinkCatagolueRule|b35qs23|rulename=B35q/S23}}
 === B35j/S23 ===
 Similar to Life, with a natural c/3o puffer.
@@ Line 432: / Line 454: @@
 |position = center
 |config = #C [[ ZOOM 8 ]]
-|caption = The c/3o puffer. <br/>
+|caption = The c/3o puffer
 }}
-{{LinkCatagolueRule|b35js23|rulename=B35j/S23}}
+* {{LinkCatagolueRule|b35js23|rulename=B35j/S23}}
 === B35r/S23 ===
@@ Line 443: / Line 465: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 12 GPS 12 LOOP 40 TRACK -1/10 1/10 ]]
-|caption = The 2c/20d. <br/>
+|caption = The 2c/20d
 }}
-{{LinkCatagolueRule|b35rs23|rulename=B35r/S23}}
+* {{LinkCatagolueRule|b35rs23|rulename=B35r/S23}}
 == B6 ==
 === B36c/S23 ===
@@ Line 454: / Line 476: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 12 GPS 8 TRACK -1/7 0 LOOP 14 ]]
-|caption = The 2c/14o. <br/>
+|caption = The 2c/14o
 }}
-{{LinkCatagolueRule|b36cs23|rulename=B36c/S23}}
+* {{LinkCatagolueRule|b36cs23|rulename=B36c/S23}}
 === B36e/S23 ===
-{{LinkCatagolueRule|b36es23|rulename=B36e/S23}}
+* {{LinkCatagolueRule|b36es23|rulename=B36e/S23}}
 === B36k/S23 ===
-{{LinkCatagolueRule|b36ks23|rulename=B36k/S23}}
+* {{LinkCatagolueRule|b36ks23|rulename=B36k/S23}}
 === B36a/S23 ===
-{{LinkCatagolueRule|b36as23|rulename=B36a/S23}}
+* {{LinkCatagolueRule|b36as23|rulename=B36a/S23}}
 === B36i/S23 ===
 Pretty much indistinguishable from Life.
-{{LinkCatagolueRule|b36is23|rulename=B36i/S23}}
+* {{LinkCatagolueRule|b36is23|rulename=B36i/S23}}
 === B36n/S23 ===
 Also called Ship. The [[HighLife]] replicator works, but closer to Life in other respects.
-{{LinkCatagolueRule|b36ns23|rulename=B36n/S23}}
+* {{LinkCatagolueRule|b36ns23|rulename=B36n/S23}}
 == B7 ==
 === B37c/S23 ===
 Explosive, with dynamics comparable to [[DryLife]], as exemplified by [[R-pentomino]].
-{{LinkCatagolueRule|b37cs23|rulename=B37c/S23}}
+* {{LinkCatagolueRule|b37cs23|rulename=B37c/S23}}
 === B37e/S23 ===
 Settles down similar to Life, but with a common infinite growth pattern arising from the I-heptomino.
@@ Line 481: / Line 503: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 6 GPS 26 LOOP 208 ]]
-|caption = I-heptomino becomes (11,11)c/52 puffer<br/>
+|caption = I-heptomino becomes (11,11)c/52 puffer
 }}
@@ Line 492: / Line 514: @@
 |position = center
 |viewerconfig = #C [[ ZOOM 6 GPS 26 LOOP 208 TRACK -11/52 11/52 ]]
-|caption = The 11c/52d spaceship. <br/>
+|caption = The 11c/52d spaceship
 }}
 DryLife's 9c/28 pond puffer works in this rule, and there are numerous c/2 puffers arising from two B-heptominoes. A 74c/382o dirty puffer has been discovered as well.
-{{LinkCatagolueRule|b37es23|rulename=B37e/S23}}
+* {{LinkCatagolueRule|b37es23|rulename=B37e/S23}}
-{{LinkForumThread|f=11|t=2878|title=Forums thread for B37e/S23}}
+* {{LinkForumThread|f=11|t=2878|title=Forums thread for B37e/S23}}
 == B8 ==
 === B38/S23 ===
-For details see this article: [[Pedestrian Life]].
+{{Main|OCA:Pedestrian Life}}
-{{LinkCatagolueRule|b38s23|rulename=B38/S23}}
+* {{LinkCatagolueRule|b38s23|rulename=B38/S23}}
-{{LinkForumThread|f=11|t=1661|title=Forums thread for B38/S23}}
+* {{LinkForumThread|f=11|t=1661|title=Forums thread for B38/S23}}
 = Survival transitions =
 == S0 ==
 === B3/S023 ===
-Has an article: [[DotLife]].
+{{Main|DotLife}}
-{{LinkCatagolueRule|b3s023|rulename=B3/S023}}
+* {{LinkCatagolueRule|b3s023|rulename=B3/S023}}
-{{LinkForumThread|f=11|t=1798|title=Dotlife(B3/S023)}}
+* {{LinkForumThread|f=11|t=1798|title=Dotlife(B3/S023)}}
 == S1 ==
 === B3/S1c23 ===
 Very explosive.
-{{LinkCatagolueRule|b3s1c23|rulename=B3/S1c23}}
+* {{LinkCatagolueRule|b3s1c23|rulename=B3/S1c23}}
 === B3/S1e23 ===
 Very explosive.
-{{LinkCatagolueRule|b3s1e23|rulename=B3/S1e23}}
+* {{LinkCatagolueRule|b3s1e23|rulename=B3/S1e23}}
 == S2 ==
 === B3/S2-c3 ===
-Dynamics similar to Life, has some unique P2 and a unique P4.
+Dynamics similar to Life, has some unique p2s and a unique p4.
-{{LinkCatagolueRule|b3s2-c3|rulename=B3/S2-c3}}
+* {{LinkCatagolueRule|b3s2-c3|rulename=B3/S2-c3}}
 === B3/S2-e3 ===
 Dynamics similar to Life, has a c/4d and a 2c/8o.
-{{LinkCatagolueRule|b3s2-e3|rulename=B3/S2-e3}}
+* {{LinkCatagolueRule|b3s2-e3|rulename=B3/S2-e3}}
 === B3/S2-k3 ===
-Dynamics similar to Life, has unique P3, P4, and P8.
+Dynamics similar to Life, has unique p3, p4, and p8.
-{{LinkCatagolueRule|b3s2-k3|rulename=B3/S2-k3}}
+* {{LinkCatagolueRule|b3s2-k3|rulename=B3/S2-k3}}
 === B3/S2-a3 ===
-Abundant P2 oscillators exist, also has several c/3o's and a 2c/4o.
+Abundant p2 oscillators exist, also has several c/3o's and a 2c/4o.
-{{LinkCatagolueRule|b3s2-a3|rulename=B3/S2-a3}}
+* {{LinkCatagolueRule|b3s2-a3|rulename=B3/S2-a3}}
 === 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.
-{{LinkCatagolueRule|b3s2-i3|rulename=B3/S2-i3}}
+* {{LinkCatagolueRule|b3s2-i3|rulename=B3/S2-i3}}
 === 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.
@@ Line 543: / Line 565: @@
 |caption      = period-3 oscillator; appears approximately twice on average in a 1000×1000 soup
 }}
-{{LinkCatagolueRule|b3s2-n3|rulename=B3/S2-n3}}
+* {{LinkCatagolueRule|b3s2-n3|rulename=B3/S2-n3}}
 == S3 ==
 === B3/S23-c ===
 The pi is a 3c/10o puffer.
-{{LinkCatagolueRule|b3s23-c|rulename=B3/S23-c}}
+* {{LinkCatagolueRule|b3s23-c|rulename=B3/S23-c}}
 === B3/S23-e ===
-Has a unique P80, and a (12,6)c/40 knightship, and a c/3o.
+Has a unique p80, and a (12,6)c/40 knightship, and a c/3o.
-{{LinkCatagolueRule|b3s23-e|rulename=B3/S23-e}}
+* {{LinkCatagolueRule|b3s23-e|rulename=B3/S23-e}}
-{{LinkForumThread|f=11|t=3067|title=B3/S23-e}}
+* {{LinkForumThread|f=11|t=3067|title=B3/S23-e}}
 === B3/S23-k ===
 Similar to Life, with a unique c/4d.
-{{LinkCatagolueRule|b3s23-k|rulename=B3/S23-k}}
+* {{LinkCatagolueRule|b3s23-k|rulename=B3/S23-k}}
 === B3/S23-a ===
 Much more stable than Life, has two c/2o's based on the B-heptomino.
-{{LinkCatagolueRule|b3s23-a|rulename=B3/S23-a}}
+* {{LinkCatagolueRule|b3s23-a|rulename=B3/S23-a}}
 === B3/S23-i ===
-Settles quickly. Has a unique P10, and a rotating P8 (two of them can non-trivially interact to form a larger P8).
+Settles quickly. Has a unique p10, and a rotating p8 (two of them can non-trivially interact to form a larger p8).
-{{LinkCatagolueRule|b3s23-i|rulename=B3/S23-i}}
+* {{LinkCatagolueRule|b3s23-i|rulename=B3/S23-i}}
 === B3/S23-n ===
 Settles quickly. Gliders don't work. Most honey farms die out, but one predecessor (the one that is two blocks too close to each other) is a p3.
-{{LinkCatagolueRule|b3s23-n|rulename=B3/S23-n}}
+* {{LinkCatagolueRule|b3s23-n|rulename=B3/S23-n}}
 === B3/S23-y ===
 Settles slightly quicker than Life. Traffic lights are rarer; the T-tetromino dies, but different sequences converging to the hollow or solid 3×3 square still work.
-{{LinkCatagolueRule|b3s23-y|rulename=B3/S23-y}}
+* {{LinkCatagolueRule|b3s23-y|rulename=B3/S23-y}}
 === B3/S23-q ===
 Interchange is a p6 oscillator. There is a fairly common p10 where one phase is two pi heptominoes facing each other with a bounding box of 3×9. Honey farms don't work (every predecessor does something different), fleets become four blocks, and the common Life spark of two touching preponds becomes two loaves. Glider is slightly more common because the 3o$3o$2bo! spark evolves to a glider.
-{{LinkCatagolueRule|b3s23-q|rulename=B3/S23-q}}
+* {{LinkCatagolueRule|b3s23-q|rulename=B3/S23-q}}
 === B3/S23-j ===
 Settles quickly. Ash differs from Life in the form of no gliders, fewer (but not no) honey farms, ship-ties appear by themselves instead of in pairs, more integrals, and the B-heptaplet is a 2c/4o spaceship. The 9-cell queen bee form is a c/2o true-period spaceship.
-{{LinkCatagolueRule|b3s23-j|rulename=B3/S23-j}}
+* {{LinkCatagolueRule|b3s23-j|rulename=B3/S23-j}}
-{{LinkForumThread|f=11|t=3494|title=Integralife (B3/S23-j)}}
+* {{LinkForumThread|f=11|t=3494|title=Integralife (B3/S23-j)}}
 === B3/S23-r ===
 Mangoes are very common, and beehive at beehive and bipond also more common than usual. Several relatives of the pi heptomino evolve into a constellation of four loaves via pre-pulsar. The fleet evolves into the [[super pond]].
-{{LinkCatagolueRule|b3s23-r|rulename=B3/S23-r}}
+* {{LinkCatagolueRule|b3s23-r|rulename=B3/S23-r}}
 == S4 ==
 === B3/S234c ===
 Pretty much indistinguishable from Life.
-{{LinkCatagolueRule|b3s234c|rulename=B3/S234c}}
+* {{LinkCatagolueRule|b3s234c|rulename=B3/S234c}}
-{{LinkForumThread|f=11|t=5705|title=B3/S234c}}
+* {{LinkForumThread|f=11|t=5705|title=B3/S234c}}
 === B3/S234e ===
 Traffic lights become four blinkers with a tub in the middle. Honey farms don't work.
-{{LinkCatagolueRule|b3s234e|rulename=B3/S234e}}
+* {{LinkCatagolueRule|b3s234e|rulename=B3/S234e}}
 === B3/S234k ===
 Mildly explosive. Gliders don't work.
-{{LinkCatagolueRule|b3s234k|rulename=B3/S234k}}
+* {{LinkCatagolueRule|b3s234k|rulename=B3/S234k}}
 === B3/S234a ===
 Explosive enough that it's just one single expanding blob.
-{{LinkCatagolueRule|b3s234a|rulename=B3/S234a}}
+* {{LinkCatagolueRule|b3s234a|rulename=B3/S234a}}
 === B3/S234i ===
 Moderately explosive. Still lifes and blinkers do appear in the expanding mass, but they don't survive for long.
-{{LinkCatagolueRule|b3s234i|rulename=B3/S234i}}
+* {{LinkCatagolueRule|b3s234i|rulename=B3/S234i}}
 === B3/S234n ===
 Moderately explosive. Traffic lights become [[small lake]]s instead.
-{{LinkCatagolueRule|b3s234n|rulename=B3/S234n}}
+* {{LinkCatagolueRule|b3s234n|rulename=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.
-{{LinkCatagolueRule|b3s234y|rulename=B3/S234y}}
+* {{LinkCatagolueRule|b3s234y|rulename=B3/S234y}}
 === B3/S234q ===
 Mildly explosive. Pairs of mirrored buns appear quite frequently. Has two c/4 diagonal spaceships, the one that's not the glider is described in [[tlife]].
-{{LinkCatagolueRule|b3s234q|rulename=B3/S234q}}
+* {{LinkCatagolueRule|b3s234q|rulename=B3/S234q}}
 === B3/S234j ===
 Almost indistinguishable from Life.
-{{LinkCatagolueRule|b3s234j|rulename=B3/S234j}}
+* {{LinkCatagolueRule|b3s234j|rulename=B3/S234j}}
 === B3/S234r ===
 Highly explosive.
-{{LinkCatagolueRule|b3s234r|rulename=B3/S234r}}
+* {{LinkCatagolueRule|b3s234r|rulename=B3/S234r}}
 === B3/S234t ===
 Mildly explosive. Mangoes are more common; otherwise, the ash is almost indistinguishable from Life. Occasionally, a still life will appear that relies on S4t.
-{{LinkCatagolueRule|b3s234t|rulename=B3/S234t}}
+* {{LinkCatagolueRule|b3s234t|rulename=B3/S234t}}
 === B3/S234w ===
-Not explosive. There is a unique p6, p9, 2c/7d, among many other interesting patterns.
+Not explosive. There is a unique p6, p9 and 2c/7d, among many other interesting patterns.
 {{EmbedViewer
 |pname = b3s234wpatterns
@@ Line 621: / Line 643: @@
 |caption = From top-left to top-right: p6, p9, p10, 2c/7d; from bottom-left to bottom-right: p46, p30, glider tagalong
 }}
-{{LinkCatagolueRule|b3s234w|rulename=B3/S234w}}
+The diagonal speed limit is c/3, not c/4, and there is an explicit example of a c/3d.
+{{EmbedViewer
+|rle = x = 79, y = 30, rule = B3/S234w
+bo9bo7bo12bo29bo11bo$3bobo6b2ob2o3b2ob2o10b2o28b2o10b2o$2bo3bo8b2o3b2o12bob2o6b3o18b3o8bobo$2bo3bo4bo13bo11b2o5b4o19b2o$bobobobo4b2o9b2o8b3o2b2o7b2o18b3o$3bobo6b2o9b2o13bo5b2o2b2o$2bo3bo9bo3bo19bo8b2o$2b2ob2o8b3ob3o16bob2ob2o2bob2o$2b2ob2o9b2ob2o17bo2b2o2bobob2o$bobobobo8b2ob2o21bo$o2bobo2bo4b4o3b4o$b2o3b2o5bob2o3b2obo15b3o$15b2o3b2o16bob2o$38bo3bo$11bo13bo12bob2o$12bobobo3bobobo13bo$13b2o2bobo2b2o12b3o$13b2o2bobo2b2o7b4obo$16bo3bo11b2o$35b3o$12b2o9b2o12bo$12bo11bo7bo$13b2obo3bob2o8b2o3bo$14bo7bo5b4ob2ob2o$28b4o2bob2o$29bo3bo$30bo$32b2o$33bo$32bo!
+|position = center
+|viewerconfig = #C [[ ZOOM 8 ]]
+|caption = A 3c/7 and 6c/14 puffer, c/3d, 2c/7d and c/4d
+}}
+* {{LinkCatagolueRule|b3s234w|rulename=B3/S234w}}
 === B3/S234z ===
+:''See also [[User:C28/Zlife|Zlife]]''
 Lasts longer and expands more than Life, but still not explosive. The pi heptomino becomes a [[dead spark coil]] and a beehive. [[Hat]]s are also more common.
-{{LinkCatagolueRule|b3s234z|rulename=B3/S234z}}
+* {{LinkCatagolueRule|b3s234z|rulename=B3/S234z}}
 == S5 ==
 === B3/S235c ===
-{{LinkCatagolueRule|b3s235c|rulename=B3/S235c}}
+* {{LinkCatagolueRule|b3s235c|rulename=B3/S235c}}
 === B3/S235e ===
-{{LinkCatagolueRule|b3s235e|rulename=B3/S235e}}
+Traffic lights form [[small lake]]s, and honey farms from with a [[tub]] in the middle. Explosive on first glance, but actually just very chaotic.
-{{LinkForumThread|f=11|t=2269|title=LakeLife}}
+* {{LinkCatagolueRule|b3s235e|rulename=B3/S235e}}
+* {{LinkForumThread|f=11|t=2269|title=LakeLife}}
 === B3/S235k ===
-{{LinkCatagolueRule|b3s235k|rulename=B3/S235k}}
+* {{LinkCatagolueRule|b3s235k|rulename=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).
-{{LinkCatagolueRule|b3s235a|rulename=B3/S235a}}
+* {{LinkCatagolueRule|b3s235a|rulename=B3/S235a}}
 === 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.
-{{LinkCatagolueRule|b3s235i|rulename=B3/S235i}}
+* {{LinkCatagolueRule|b3s235i|rulename=B3/S235i}}
-{{LinkForumThread|f=11|t=2664|title=ilife}}
+* {{LinkForumThread|f=11|t=2664|title=ilife}}
 === B3/S235n ===
-{{LinkCatagolueRule|b3s235n|rulename=B3/S235n}}
+* {{LinkCatagolueRule|b3s235n|rulename=B3/S235n}}
 === B3/S235y ===
-{{LinkCatagolueRule|b3s235y|rulename=B3/S235y}}
+* {{LinkCatagolueRule|b3s235y|rulename=B3/S235y}}
 === B3/S235q ===
-{{LinkCatagolueRule|b3s235q|rulename=B3/S235q}}
+* {{LinkCatagolueRule|b3s235q|rulename=B3/S235q}}
 === B3/S235j ===
-{{LinkCatagolueRule|b3s235j|rulename=B3/S235j}}
+* {{LinkCatagolueRule|b3s235j|rulename=B3/S235j}}
 === B3/S235r ===
-{{LinkCatagolueRule|b3s235r|rulename=B3/S235r}}
+Pi-heptominoes form 3c/10 block puffers. The Eater 3 can be reduced to a loaf and canoe, resulting in very small hasslers. [[Sailboat]], [[120P34]] and [[p52 R-pentomino hassler]] can be reduced this way.
+* {{LinkCatagolueRule|b3s235r|rulename=B3/S235r}}
 == S6 ==
 === B3/S236c ===
 Explosive, as exemplified by bobo$o2b2o$o2bo! .
-{{LinkCatagolueRule|b3s236c|rulename=B3/S236c}}
+* {{LinkCatagolueRule|b3s236c|rulename=B3/S236c}}
 === B3/S236e ===
-{{LinkCatagolueRule|b3s236e|rulename=B3/S236e}}
+* {{LinkCatagolueRule|b3s236e|rulename=B3/S236e}}
 === B3/S236k ===
 Explosive, as exemplified by [[R-pentomino]].
-{{LinkCatagolueRule|b3s236k|rulename=B3/S236k}}
+* {{LinkCatagolueRule|b3s236k|rulename=B3/S236k}}
 === B3/S236a ===
 Explosive, as exemplified by [[pi-heptomino]].
-{{LinkCatagolueRule|b3s236a|rulename=B3/S236a}}
+* {{LinkCatagolueRule|b3s236a|rulename=B3/S236a}}
 === B3/S236i ===
-{{LinkCatagolueRule|b3s236i|rulename=B3/S236i}}
+* {{LinkCatagolueRule|b3s236i|rulename=B3/S236i}}
 === B3/S236n ===
 Explosive, as exemplified by [[R-pentomino]].
-{{LinkCatagolueRule|b3s236n|rulename=B3/S236n}}
+* {{LinkCatagolueRule|b3s236n|rulename=B3/S236n}}
 == S7 ==
 === B3/S237c ===
 Explosive, as exemplified by [[century]].
-{{LinkCatagolueRule|b3s237c|rulename=B3/S237c}}
+* {{LinkCatagolueRule|b3s237c|rulename=B3/S237c}}
 === B3/S237e ===
-{{LinkCatagolueRule|b3s237e|rulename=B3/S237e}}
+Appears explosive, but actually just extremely chaotic.
+* {{LinkCatagolueRule|b3s237e|rulename=B3/S237e}}
 == S8 ==
 === B3/S238 ===
-For details see Article: [[EightLife]].
+{{Main|OCA:EightLife}}
-{{LinkCatagolueRule|b3s238|rulename=B3/S238}}
+* {{LinkCatagolueRule|b3s238|rulename=B3/S238}}
-{{LinkForumThread|f=11|t=1272|title=B3/S238}}
+* {{LinkForumThread|f=11|t=1272|title=B3/S238}}
 == External links ==
-{{LinkForumThread|f=11|t=3511|title=Rules 1 transition from Life}}
+* {{LinkForumThread|f=11|t=3511|title=Rules 1 transition from Life}}
-{{LinkForumThread|f=11|t=2971|title=Oscillators in Near-Life rules not supported by Life}}
+* {{LinkForumThread|f=11|t=5854|title=Oscillator Discussion Thread (1-transition)}}
+* {{LinkForumThread|f=11|t=2971|title=Oscillators in Near-Life rules not supported by Life}}
 __NOTOC__

User:Pzq Alex/Rules 1 transition from Life: Difference between revisions

Latest revision as of 13:42, 8 August 2024

Quick navigation

Birth transitions

B1

B1c3/S23

B1e3/S23

B2

B2c3/S23

B2e3/S23

B2k3/S23

B2a3/S23

B2i3/S23

B2n3/S23

B3

B3-c/S23

B3-e/S23

B3-k/S23

B3-a/S23

B3-i/S23

B3-n/S23

B3-y/S23

B3-q/S23

B3-j/S23

B3-r/S23

B4

B34c/S23

B34e/S23

B34k/S23

B34a/S23

B34i/S23

B34n/S23

B34y/S23

B34q/S23

B34j/S23

B34r/S23

B34t/S23

B34w/S23

B34z/S23

B5

B35c/S23

B35e/S23

B35k/S23

B35a/S23

B35i/S23

B35n/S23

B35y/S23

B35q/S23

B35j/S23

B35r/S23

B6

B36c/S23

B36e/S23

B36k/S23

B36a/S23

B36i/S23

B36n/S23

B7

B37c/S23

B37e/S23

B8

B38/S23

Survival transitions

S0

B3/S023

S1

B3/S1c23

B3/S1e23

S2

B3/S2-c3

B3/S2-e3

B3/S2-k3

B3/S2-a3

B3/S2-i3

B3/S2-n3

S3

B3/S23-c

B3/S23-e

B3/S23-k

B3/S23-a