## Rules 2 transitions from Life

For discussion of other cellular automata.
KittyTac
Posts: 535
Joined: December 21st, 2017, 9:58 am

### Rules 2 transitions from Life

Let's expand the search space!

B34yz/S23 decays slightly faster and has this B-puffer:

Code: Select all

``````x = 28, y = 40, rule = B34yz/S23
18\$18bobo2\$12b3o7b4o\$12b2o4bo6bo\$2b3o7b2o5bo5bo\$20bo3bo\$22bo!
``````
Last edited by KittyTac on October 5th, 2018, 10:01 pm, edited 1 time in total.

Ian07
Moderator
Posts: 890
Joined: September 22nd, 2018, 8:48 am
Location: New Jersey, US

### B3/S23-ik

Some natural objects in B3/S23-ik:

Code: Select all

``````x = 57, y = 17, rule = B3/S23-ik
24bo12b2o9b2o\$3bo7b2o10b3o11b2o9b2o5bo\$bob2o5bo2bo8bo2bo11b2o9b2o4bobo
\$4o6bobo3bo4bo2bo11b3o8b3o5b2o\$2b4o5bob4o4bo2bo11b3o8b3o\$b2obo7b2obo6b
o2bo11b2o9b2o\$2bo10bo9b3o11b2o9b2o\$24bo12b2o9b2o3\$b2o3b2o\$2o5b2o\$18bo\$
2o5b2o7b3o\$2o5b2o6bo2bo\$15bo\$14b3o!``````
Top: p3, p3, p8, p10, p60
Bottom: c/34 orthogonal, c/14 diagonal

A few more symmetric oscillators: (p7, p7, p12)

Code: Select all

``````x = 46, y = 20, rule = B3/S23-ik
9b2o\$9b2o2\$28bo\$9b2o17bo\$5b2ob4ob2o12bo\$5b2obo2bob2o14bo14b2o\$29bo10b
2ob3o\$5b2o6b2o12bo12bo4bo\$2o2b2o8b2o2b2o6b2o5b2o6b4o\$2o2b2o8b2o2b2o6b
2o5b2o\$5b2o6b2o12bo13b4o\$29bo10bo4bo\$5b2obo2bob2o14bo10b2ob3o\$5b2ob4ob
2o12bo16b2o\$9b2o17bo\$28bo2\$9b2o\$9b2o!``````

77topaz
Posts: 1496
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 2 transitions from Life

SparkLife (B36i/S234j) is in this rulespace! Another well-known rule in it is DryLife (B37/S23).

This is, of course, a significantly larger rulespace than the ones just 1 transition from Life, so I expect there are numerous other interesting rules in it as well.

Sarp
Posts: 221
Joined: March 1st, 2015, 1:28 pm

### Re: Rules 2 transitions from Life

B2c3-j/s23

Code: Select all

``````x = 49, y = 75, rule = B2c3-j/S23
7\$10bo\$10bo\$10bo\$10bo\$9bobo\$9bobo\$10bo6\$8b2o\$8bobo\$10bobo17bobo\$11b2o
16b2ob2o\$30bo2bo6\$10bo\$9b3o\$8bo2bo\$7b2o\$8b2o6\$22bobo2\$10bo9bo\$9b3o7b3o
\$8bo2bo6bo2bo\$8b2o8b2o3\$26bo\$30bobo5b2o\$11bo12b3o2bo2bo5bo\$29bo2bo5b2o
\$10bobo16b3o5b2o\$9b2ob2o\$10bobo2\$11bo5\$10b2o\$9bo3bo\$8bo4bo\$9bo3bo\$8bo
3bo\$10bo\$10bo!
``````
Edit: New natural c/15

Code: Select all

``````x = 9, y = 8, rule = B2c3-j/S23
2bo\$bo\$o2bo\$2bobo3bo\$4bo3bo\$2bo2bo2bo\$4b2o\$5b2o!
``````
Last edited by Sarp on October 9th, 2018, 12:58 am, edited 1 time in total.

praosylen
Posts: 2441
Joined: September 13th, 2014, 5:36 pm
Location: Pembina University, Home of the Gliders
Contact:

### Re: Rules 2 transitions from Life

And, of course, nobody forget about tlife.
praosylen#5847 (Discord)

of flowers, to jump universes to one of springtime in
a land of former winter, where no invisible walls stood,
or could stand for more than a few hours at most...

dani
Posts: 1222
Joined: October 27th, 2017, 3:43 pm

### Re: Rules 2 transitions from Life

This rule has a 2g MWSS synth, inspired by Entity Valkyrie's profile picture:

Code: Select all

``````x = 7, y = 3, rule = B3-q4a/S23
bo4bo\$2bob2o\$3o2b2o!
``````
d

KittyTac
Posts: 535
Joined: December 21st, 2017, 9:58 am

### Re: Rules 2 transitions from Life

B37/S23 and B3/S237 are both explosive, B37/S23 being slightly more so.

Hdjensofjfnen
Posts: 1733
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules 2 transitions from Life

This p11 was a surprise:

Code: Select all

``````x = 5, y = 9, rule = B3-j/S023
2o\$obo\$2b2o\$b2o3\$2bobo\$2bobo\$2b3o!
``````
EDIT: The pi alone works too

EDIT: As well as a p3 I have mentioned before:

Code: Select all

``````x = 2, y = 5, rule = B3-j/S023
bo\$bo\$2o2\$o!
``````
EDIT: Unrelated rule, a p100 I have mentioned as well:

Code: Select all

``````x = 6, y = 7, rule = B3-r/S234z
2bo\$b3o\$o2bo\$b2o2\$4b2o\$4b2o!
``````

Code: Select all

``````x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo\$4bo\$o2bo\$2o2\$2o\$o2bo\$4bo\$3bo!``````

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

77topaz
Posts: 1496
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 2 transitions from Life

B3/S23-n4w has a natural puffer from a failed replicator:

Code: Select all

``````x = 5, y = 4, rule = B3/S23-n4w
2bo\$bobo\$o3bo\$b3o!
``````
A more complicated variant:

Code: Select all

``````x = 15, y = 70, rule = B3/S23-n4w
5b2ob2o\$5b2ob2o2\$5b2ob2o\$5b2ob2o41\$6b3o\$6bobo\$6bobo3\$3bo3bo3bo\$2bo3bob
o3bo\$3bo3bo3bo2\$5bo3bo2\$b3o7b3o4\$b2o9b2o\$b2o2b2ob2o2b2o\$o4b2ob2o4bo\$b
2o2b2ob2o2b2o\$b2o9b2o3\$5b2ob2o\$5b2ob2o\$7bo!
``````
Last edited by 77topaz on December 29th, 2018, 6:33 am, edited 2 times in total.

dani
Posts: 1222
Joined: October 27th, 2017, 3:43 pm

### Re: Rules 2 transitions from Life

p136 shuttle in that rule:

Code: Select all

``````x = 51, y = 17, rule = B3/S23-n4w
18bo18bo\$17b3o16b3o\$35bo\$16b2ob2o17b2o\$2bo14b3o28bo\$bobo14bo28bobo\$bob
o9bo3bobo3bo23bobo\$2ob2o6bobo9bobo20b2ob2o\$10b2o13b2o\$2ob2o6bobo9bobo
20b2ob2o\$bobo9bo3bobo3bo23bobo\$bobo14bo28bobo\$2bo14b3o28bo\$16b2ob2o17b
2o\$35bo\$17b3o16b3o\$18bo18bo!
``````
EDIT: 3c/7:

Code: Select all

``````x = 7, y = 4, rule = B3/S23-n4w
o5bo\$b2ob2o\$b2ob2o\$3bo!``````
EDIT2: Fuse:

Code: Select all

``````x = 156, y = 13, rule = B3/S23-n4w
23bo\$19bobo2b2o\$19bobo\$20b2o\$2o18bo2bo6bo39b2o26b2o26b2o26b2o\$2o19b3o
5bobo38b2o26b2o26b2o26b2o\$29bo2bo\$2o19b3o5bobo38b2o26b2o26b2o26b2o\$2o
18bo2bo6bo39b2o26b2o26b2o26b2o\$20b2o\$19bobo\$19bobo2b2o\$23bo!
``````
Fuse2:

Code: Select all

``````x = 240, y = 11, rule = B3/S23-n4w
52b2o9b2o54b2o15b2o2\$44bo7bo11bo7bo47bo15bo\$2o41b3o25b3o24b2o26b2ob2o
51b2o26b2o26b2o\$2o40b5o23b5o23b2o26b2ob2o51b2o26b2o26b2o\$41b2o3b2o21b
2o3b2o\$2o40b5o23b5o23b2o26b2ob2o51b2o26b2o26b2o\$2o41b3o25b3o24b2o26b2o
b2o51b2o26b2o26b2o\$44bo7bo11bo7bo47bo15bo2\$52b2o9b2o54b2o15b2o!
``````
Reburnable fuse:

Code: Select all

``````x = 21, y = 240, rule = B3/S23-n4w
8b2ob2o\$8b2ob2o27\$8b2ob2o\$8b2ob2o27\$8b2ob2o\$8b2ob2o44\$10bo\$9bobo\$8bo3b
o\$8bo3bo\$8bo3bo\$9bobo\$10bo\$6bo7bo\$5bobo5bobo\$bob2ob3o3b3ob2obo\$o2b2o2b
3ob3o2b2o2bo\$bob2ob3o3b3ob2obo\$5bobo5bobo\$6bo7bo\$10bo\$9bobo\$8bo3bo\$8bo
3bo\$8bo3bo\$9bobo\$10bo2\$8b2ob2o\$8b2ob2o2\$8b2ob2o\$8b2ob2o2\$10bo\$9bobo\$8b
o3bo\$8bo3bo\$8bo3bo\$9bobo\$10bo\$6bo7bo\$5bobo5bobo\$bob2ob3o3b3ob2obo\$o2b
2o2b3ob3o2b2o2bo\$bob2ob3o3b3ob2obo\$5bobo5bobo\$6bo7bo\$10bo\$9bobo\$8bo3bo
\$8bo3bo\$8bo3bo\$9bobo\$10bo8\$10bo\$9bobo\$8bo3bo\$8bo3bo\$8bo3bo\$9bobo\$10bo\$
6bo7bo\$5bobo5bobo\$bob2ob3o3b3ob2obo\$o2b2o2b3ob3o2b2o2bo\$bob2ob3o3b3ob
2obo\$5bobo5bobo\$6bo7bo\$10bo\$9bobo\$8bo3bo\$8bo3bo\$8bo3bo\$9bobo\$10bo2\$8b
2ob2o\$8b2ob2o2\$8b2ob2o\$8b2ob2o27\$8b2ob2o\$8b2ob2o27\$8b2ob2o\$8b2ob2o!
``````
It's sad the gliders in this rule are so few, because we could genuinely have a very interesting rule to construct with...
d

77topaz
Posts: 1496
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 2 transitions from Life

Two copies of the failedrep seed make a 28c/68 repship:

Code: Select all

``````x = 23, y = 27, rule = B3/S23-n4w
7bo2bobo2bo\$7b3o3b3o\$6bo9bo4\$2bo5bo5bo5bo\$bobo4bo5bo4bobo\$o3bo13bo3bo\$
bobo15bobo\$2bo17bo4\$3b2o13b2o\$3b2o13b2o8\$3b3o11b3o\$2bo3bo9bo3bo\$3bobo
11bobo\$4bo13bo!
``````
One cell further apart and you get another puffer variant:

Code: Select all

``````x = 20, y = 4, rule = B3/S23-n4w
b3o12b3o\$o3bo10bo3bo\$bobo12bobo\$2bo14bo!
``````
Last edited by 77topaz on December 29th, 2018, 6:40 am, edited 1 time in total.

dani
Posts: 1222
Joined: October 27th, 2017, 3:43 pm

### Re: Rules 2 transitions from Life

Oh, hey, that's a thing. I don't know if a gun is possible...

-

Here's a 2tran rule with a familiar four MWSS:

Code: Select all

``````x = 3, y = 4, rule = B34w/S235a
bo\$b2o\$obo\$bo!
``````
d

LaundryPizza03
Posts: 2260
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules 2 transitions from Life

p20 backrake in B2e3-a/S23:

Code: Select all

``````x = 20, y = 23, rule = B2e3-a/S23
14b2o\$13bo\$14b3o2\$14b2o\$13bo\$14b2o2\$4b2o\$3bo3bo2bo3bo\$4b5obo2b2o2\$4b5o
bobobo\$3bo4bobobobo\$4b2o10b4o\$16bo2bo\$b2o13b4o\$o4bobobobo\$b5obobobo2\$b
5obo2b2o\$o3bo2bo3bo\$b2o!
``````
Is a p40 rake possible?

Code: Select all

``````x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o\$b2o\$2o!
``````
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 35296 spaceships and 1451 oscillators from outer-totalistic rules. You are invited to help!

Hunting
Posts: 4396
Joined: September 11th, 2017, 2:54 am

### Re: Rules 2 transitions from Life

B3/S237e8 seems not interesting, but take way more time than Life to stable when the soup size is large enough.

EDIT: Pi-heptomino acts like a failed replicator:

Code: Select all

``````#C [[ STOP 26 ]]
x = 3, y = 3, rule = B3/S237e8
3o\$obo\$obo!
``````

LaundryPizza03
Posts: 2260
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Rules 2 transitions from Life

Hunting wrote:B3/S237e8 seems not interesting, but take way more time than Life to stable when the soup size is large enough.

EDIT: Pi-heptomino acts like a failed replicator:

Code: Select all

``````#C [[ STOP 26 ]]
x = 3, y = 3, rule = B3/S237e8
3o\$obo\$obo!
``````
Very large ships don't seem to stabilize at all. I note, also, that B38/S237e has a failed pi replicator as well, but appears to be stable on the large scale:

Code: Select all

``````x = 3, y = 3, rule = B38/S237e
3o\$obo\$obo!
``````
(See generations 26, 30, 146. Stabilization time is 556.)

Code: Select all

``````x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o\$b2o\$2o!
``````
LaundryPizza03 at Wikipedia

The latest edition of new-gliders.db.txt and oscillators.db.txt have 35296 spaceships and 1451 oscillators from outer-totalistic rules. You are invited to help!

Hunting
Posts: 4396
Joined: September 11th, 2017, 2:54 am

### Re: Rules 2 transitions from Life

LaundryPizza03 wrote:
Hunting wrote:B3/S237e8 seems not interesting, but take way more time than Life to stable when the soup size is large enough.

EDIT: Pi-heptomino acts like a failed replicator:

Code: Select all

``````#C [[ STOP 26 ]]
x = 3, y = 3, rule = B3/S237e8
3o\$obo\$obo!
``````
Very large ships don't seem to stabilize at all.
Really? Try to run some more generation.

I've run some 100x100 soup in Golly and most of them stabilize at 100,000+ generations.

Hunting
Posts: 4396
Joined: September 11th, 2017, 2:54 am

### Re: Rules 2 transitions from Life

LaundryPizza03 wrote:
Hunting wrote:B3/S237e8 seems not interesting, but take way more time than Life to stable when the soup size is large enough.

EDIT: Pi-heptomino acts like a failed replicator:

Code: Select all

``````#C [[ STOP 26 ]]
x = 3, y = 3, rule = B3/S237e8
3o\$obo\$obo!
``````
Very large ships don't seem to stabilize at all.
WAIT! EVEN A 16x16 SOUP CAN EXPLODE!

Code: Select all

``````x = 16, y = 16, rule = B3/S237e8
3obob2obobo\$b3o3b3obo2b2o\$4obo2bo3b3o\$o2bob2ob3ob3o\$o6bo3bo\$o4b2o3bob
3o\$2bo2b2o2b3o\$obobo6b3o\$2bob8o3bo\$b2o2b3o2bo3bo\$bob2o2bob2obob2o\$o4b
3o3bob3o\$b3o3bobo3b3o\$2bobo3b2obo2b2o\$o3bobo2b2o2b3o\$2bo2b2ob3o3bo!``````

Hunting
Posts: 4396
Joined: September 11th, 2017, 2:54 am

### Re: Rules 2 transitions from Life

B2n3-q/S23.

Hdjensofjfnen
Posts: 1733
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules 2 transitions from Life

The home of the most useless oscillator you will ever see:

Code: Select all

``````x = 6, y = 6, rule = B2n3/S23-y
4b2o\$5bo\$bo\$o\$o2bo\$b2o!
``````

Code: Select all

``````x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo\$4bo\$o2bo\$2o2\$2o\$o2bo\$4bo\$3bo!``````

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

77topaz
Posts: 1496
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 2 transitions from Life

Natural puffer in B34j5k/S23:

Code: Select all

``````x = 63, y = 14, rule = B34j5k/S23
22bo\$20b2ob2o\$20b2ob2o\$33b2o\$2bo18bobo8bo2bo9b2o14b2o\$b2o4b2o5bo4b4o
10b2o10b2o14b2o\$2o5b3o3bobo2bobo\$bobo5bo3bo2bo8b2o23bo\$2b2o3b3o3bobo2b
3o2b2o2bo19bob2o\$8bo3b2o9b3ob2o16bo5bo\$12b2o7b3o2b2o6bo11bo3bo\$20bo3b
3o6bobo5bobo3b3o\$20bo3b2o7bobo12bo\$21b3o10bo6bobo!
``````
(As a side note, the same pattern run in just B34j/S23 produces a MMS breeder.)

EDIT: Another, messier puffer:

Code: Select all

``````x = 23, y = 99, rule = B34j5k/S23
9b3o\$9bo2bo\$8bo2b2o\$8b2o4\$7b2ob2o\$7bo\$7b2ob2o\$9bo2\$5bo2bo\$9bo\$9bo\$5b2o
b2o\$7bo4\$8bo\$6b2ob2o\$9bobo\$9b2ob2o\$8b3o3bo\$7b2o2b2o\$11bo3bo\$9bo2bo2bo\$
14bo\$13bo\$11b3o8\$6b2o\$6b2o4b2o\$3bo7bobo\$3bo2b2o4bo\$6bo3\$6bo\$bo4bo\$bo\$o
4bo\$2ob2o3\$19bo\$18bobo\$18bobo\$19bo\$15bo\$15bo\$15bobo\$15b3o2\$13b2obo\$5b
3o5b2ob2o2\$3bo5bo\$3bo5bo\$3bo5bo2\$5b3o8b2o\$13bo2bo\$13bo2bo\$12b4o\$13b4o
2b2o\$14b2o2bo2bo\$19b2o5\$4bo\$4bo\$4bo2\$6b3o13\$20b2o\$19bo2bo\$20b2o!
``````
And a symmetrical one:

Code: Select all

``````x = 33, y = 24, rule = B34j5k/S23
2b2o\$2b2o6b3o\$9b4o\$bo7bo2bo2b2o\$2o21bo\$5b2o14b2obo4bo\$o15bo7bo3bob2o\$
6o9b4o9bo3bo\$2b4o9bo7bo4b2o2bo\$5bo8bob3o9b2ob2o\$9bo7bo2bo8b2o\$8bobob3o
4b3o\$8bobob3o4b3o\$9bo7bo2bo8b2o\$5bo8bob3o9b2ob2o\$2b4o9bo7bo4b2o2bo\$6o
9b4o9bo3bo\$o15bo7bo3bob2o\$5b2o14b2obo4bo\$2o21bo\$bo7bo2bo2b2o\$9b4o\$2b2o
6b3o\$2b2o!
``````
EDIT 2: A specific combination of the two basic blockpuffers gives a bonus beehive:

Code: Select all

``````x = 41, y = 98, rule = B34j5k/S23
23b2o\$6b2o15b2o\$6b2o2\$24bo\$23bobo\$23bobo\$7bobo14bo\$4bo3bo3bo2\$4bo3bo3b
o\$6bobo\$7b5o\$7b2obo2\$28b6o2bo2bo\$12b2o9b2o2bo6b3o3bo\$6b2ob2ob2o9b2o2bo
7b2o\$7b6o15b3ob2o\$8b4o22b2obo\$24bo10b5o\$23bobo10b3o\$23bobo\$11b3o10bo\$
10b2o2bo\$8b2o4bo\$8b2ob2o2bo\$8bo3b4o\$9bobo2b2o\$10bo2\$32b3o\$20b3o7b2ob2o
\$19bo2bo6bo2bo2bo\$19bo9bo2b3o\$20b2o8b5o\$24bo\$6b3o14bobo\$6bobo14bobo\$6b
o2bo14bo\$8b2o6\$25bo\$24b3o\$24b2obo\$8bo7b2o9b2o\$7bo7bo2bo7b2o\$10b3ob2o2b
o\$11bob2ob2o\$9bo4bo8b2o\$7b2obo\$6bo6bo12b2o\$2o4b2obobo14b3o\$2o3bo5bo10b
o4bobo\$5bob4o13b2o2b2o\$6b4o10bo\$7b2o11bo\$18bo2bo\$2bo2bo11bo2b2o\$5bo9b
2o3b2o\$15b2obob4o\$2bo12bo2bo2bob2o\$7bo8bo4b3o\$4bo11bo2bo2bo\$5bo13b2o\$
7bo10bo\$19b2o4\$6bo\$6b3o\$6bo2bo8bob2o\$8b2o7b2o3bo\$15bo5b2o\$15bobo3b2o\$
15b3o2b3o\$5b3o11bob2o\$4b2o2bo10bo2b2o\$2b2obo14bo\$2b2obo\$3bo4bo\$3bo2bo\$
4b3o\$18b3o\$17b2ob2o\$17b2obo4\$19b2o\$16b2o2bo\$17b3o\$18bo!
``````
The puffers can also crawl on each other's trails:

Code: Select all

``````x = 38, y = 276, rule = B34j5k/S23
11b3o\$11bo2bo\$9bo4bo\$12bob2o\$12bob2o\$9bo2b2o\$10b3o4\$8b2o\$7bo\$7bo3bo\$8b
o3bo\$8b3o\$9bo4bo\$8b2o5bo\$9b2obobo\$10b4o\$11bo7\$14bo\$6b2o5bobo\$5bo2bo4bo
bo\$6b2o6bo3\$15bo\$15bo\$7b2o\$6b2obo\$bobo3bob2o\$o2bo3bob2o\$o2bo3bo2bo\$b2o
5bob2o\$10bobo\$10bo3bo\$10bo3bo\$11bo2b2o\$14b2o\$14bo10\$13b2o\$13b2o15\$13b
2o\$13b2o15\$13b2o\$13b2o15\$13b2o\$13b2o14\$19b3o\$13b2o3bo2bo\$13b2o3b2o2bo\$
21b2o4\$19b2ob2o\$23bo\$19b2ob2o\$21bo5\$21bo2b2o\$18bob2o\$13b2o2bob2o4bo\$
13b2ob2obo5bo\$19b2o4bo\$19b4obo\$19b3obo10\$18b3o\$17bo3bo\$16bo5bo\$22bo\$
17b3o2bo\$19b2o2\$21b3o\$20bo3bo\$20bo3bo\$20bo3bo\$21b3o5\$23b2o\$23bobo\$23b
3o\$17b2o6b2o\$17bobo2bob2o\$17b3o3b2o\$18b2o3bo2\$25bo\$18b3o4bo\$19bo5bo8\$
27b2o\$25bobobo\$25b3obo\$25b4o2\$22b2o\$21b2obo\$24bo\$23b3o8\$28b2o\$25bo2b2o
\$21b2o2bo\$20bo5bo\$19b2o2bobo\$20b2o3bo\$21b3o10\$25b3o\$24b2obo\$22b2obo\$
25bobo\$20b2obobo2bo\$21bo\$21bo4bo\$22b2o2bo\$27b3o5\$21b3ob2o\$18b2ob6o\$18b
2o3b2o4b3o\$24b2o2bo3bo\$28bo3bo\$20b4o4bo3bo\$20b4o5b3o\$22bo5\$24b3o\$24bob
o\$18bobo9bobo\$18b2o11b2o3\$24bobo\$24b3o7\$35bo\$32b5o\$34bo2bo\$35b2o\$34b2o
\$33bo7\$30b2o\$30b2o7\$18b2o11b2o\$18b2o11b2o!
``````
EDIT 3: A natural MMS breeder (sufficiently rare that, while it slows apgsearch down, it does not make the rule unapgsearchable):

Code: Select all

``````x = 16, y = 16, rule = B34j5k/S23
7obobobobo\$6bob2o2b2o\$obo2b2obob4o\$3b4o2b5o\$ob2o3b5o2bo\$2o2b3o2bobo\$3b
o2b4obobo\$2b2o2bob2o2b3o\$b3o2b2o5bobo\$o3bo7bo\$bo2bob5o2bobo\$4bo2bobo2b
4o\$bo3bob5ob3o\$ob5o2bo3b2o\$b8obo3b2o\$o4b4obo3bo!
``````
Also, several other distinct natural, high-period puffers:

Code: Select all

``````x = 29, y = 111, rule = B34j5k/S23
14b2ob2o\$13bobob2o\$14bo4\$14bo\$13bobo\$14b2o\$3b2o\$3b2o5bo\$9bobo8b2o\$9bob
o8b2o\$10bo\$3bo12bo\$3bo11bobo\$3bo11bobo\$16bo8\$24b2o\$23bo2bo\$24b2o8\$15b
3o\$15b3o\$14bo3bo\$9bo4b2ob2o\$8bobo\$8bobo\$9bo14b2o\$23bo2bo\$24b2o\$4b3o8b
2o\$4b3o7bobo\$2b2o9b2o2bo2bo5b2o\$2b2o10b2o5bo3bo2bo\$2b2o11bo4bo5b2o\$10b
2o4b4o\$10b2o5bo\$10b2o\$7b3o\$7b3o4bo\$14bo\$14bo2\$10b3o3b3o2\$14bo\$14bo\$14b
o\$2b2o\$2b2o4\$10bo\$2b3o4b3o\$2bobo3b5o\$2o2bo2b2o\$o5b3o2b2o\$3o5b4o\$9b2o3\$
5b2o\$4b2o\$5bo\$2bob2obo\$bo4bobo\$6bobo\$2bob2obo3\$17b2o\$17b2o\$2o8b3o\$2o8b
3o2\$5bo12bo\$4bobo11bo\$4bobo4b2o5bo\$5bo5b2o\$11b3o\$9b2obo\$8bo3bo\$8bo3bo\$
9b3o4b2o\$3b2o12b2o\$3b3o10b3o\$4bo12bo3\$6b2o6b2o\$5b2o2bo2bo2b2o\$4b2o3bo
2bo3b2o\$4b4obo2bob4o\$5bo2b2o2b2o2bo\$6b3o4b3o\$7bo6bo!
``````

Code: Select all

``````x = 57, y = 216, rule = B34j5k/S23
4b3o28bo\$35bo\$35bo2\$31b3o3b3o2\$21b2o12bo\$21bobo11bo\$22bo12bo2\$39b2o\$
35bo3b2o\$35bo\$35bo2\$31b3o3b3o\$18b2o\$17bo2bo14bo13b2o\$18b2o15bo12bo2bo\$
7bo2bo24bo13b2o\$7bo2bo\$3o7bo\$9b2o24bo\$4b2o3b2o12b2o9bobo\$3bo4bobo12b2o
10bo\$4b5obo\$4b4ob3ob3o\$6b2ob2o\$7b3o\$8bo2\$26b3o2\$24bo\$24bo\$24bo3\$9bo\$9b
o\$9bo\$4b3o2\$8b2o18b2o\$8b2o18b2o2\$b2o\$b2o\$35bo\$35bo\$35bo2\$4b2o25b3o3b3o
\$3bo2bo\$3bo2bo14b2o12bo\$4b2o15bobo11bo\$22bo12bo8\$4b3o5\$32b2o\$32b2o5\$9b
o44b2o\$8bobo42bo2bo\$9b2o43b2o\$22b2o\$22b2o2\$35b2o9b2o\$34bo2bo7bobo\$12b
2o9bo11b2o3b2o4bo\$4b2o6b2o9bo16b2o\$3bo2bo16bo\$3bo2bo\$4b2o11bo\$13b2obob
o\$13b2obobo\$17bo\$28b2o\$28b2o4\$4b3o28bo\$35bo\$35bo2\$31b3o3b3o2\$21b2o12bo
\$21bobo11bo\$22bo12bo7\$20b2o\$20b2o4\$4b2o\$3bo2bo16bo2b2o\$3bo2bo11bob2ob
2o\$4b2o11bo3bo2bo18b3o\$21bo2b2o16bo\$17bo3bob2o7b2o7bo\$20bo12bo7bo2b2o\$
34b2o5b2o2b3o\$35b2o8b3o\$36b2o7b2o2\$24b3o6bo\$11b3o11b3o5b2o3b2o\$10bo3bo
11bobo3b2o3b3o\$10bo4bo11b2o3bo5b2o\$11b2o2bo\$13b2o3\$30b2o\$30b2o\$2b2o\$2b
o\$13b3o12b2o\$28b2o2\$b2o\$b2o\$35bo\$35bo\$35bo2\$4b2o25b3o3b3o\$3bo2bo\$3bo2b
o14b2o12bo\$4b2o15bobo11bo\$22bo12bo8\$8bo\$7b3o15b2o\$7bo2bo13bo2bo\$10b2o
13b2o\$9b2o\$23bo\$21bo2bo\$5b3o13bobo9bo\$4bo3bo13b2o7bo2bo\$4bo3bo21b2ob2o
\$4bo3bo14b3o5bo\$5b3o24b2o2\$20b2o7bo\$19b3o6bobo\$15b2o2b2o7bo2bo\$15b2o2b
ob2o\$8b2o10bobo\$8b3o8bo\$2b2o4b3o9b2ob3o\$b2o5b2o13bo2bo\$2b3obob2o12b2o\$
3b4o5bo11b3o\$5bo4bo2bo\$10bo2bo\$10b2ob2o\$9bobo12b3o\$9b2ob2obo8bo2bo\$9b
4o11bob2o\$5b2o4b2o4b3o8b2o\$5b2o6bo3b2obo6b3o\$5b2o6bo4bob2obo4bo\$12bo6b
ob2obo\$22bobo\$23bo3\$23bo\$23b3o\$23bo2bo\$25b2o\$9b3o\$10b2o\$7bo2b2o\$7b2o
13b3o\$21b2o2bo\$19b2obo\$9b2o8b2obo\$9bob2o7bo4bo\$9bo3bo6bo2bo\$10bo10b3o
3\$9b2o2bo\$9bo2bo\$10b3o!
``````

Code: Select all

``````x = 47, y = 147, rule = B34j5k/S23
17b3o\$17bo2bo7bo\$16bo3bo6b3o\$16b3o2bo4bo2b2o\$17b4o5b3obo\$29b2o3\$21bo\$
22bo7b2o\$18bo2bo10bo\$18bo2bo6b4o\$19bo8b3o3\$19b2ob2o\$19b2o3bo6b3o\$17bo
4bobo5b4o\$15b3o5bo5b3o\$27b2ob4o\$21bo5bo2bo3bo\$19b2o6bob3obo\$19bo8b3o2b
o\$29b3o\$30b2o\$17b2o\$17b2o9bo\$27bobo\$21bo5bobo\$20b3o5bo\$19b2o2bo\$18b2ob
3o\$18bo2b2o2\$21bo\$20b2ob2o\$21bob2o\$21bo3bo\$23b2o\$20b2ob2o\$21b2o\$21bo\$
21bo9\$37b3o\$35bobo\$34bob2o\$33bo2bo\$33b2o\$16bo17b2o\$15bobo15bo\$14bo3bo
12b2o5bo\$15bobo8b3obo6b2ob2o3b2o\$16bo9bo2b2o6bo4bo2b2o\$27b3o10bobo2bo\$
28bo12bo\$15b3o\$15b4o14b2o\$15b5o12bobo\$12b3o4bo12b2o\$13b2ob3o11b3o2b2o\$
14bo15b4o2b2o\$30b2ob2obob2o\$36bo\$35b2ob2o\$35b3o2\$22bo\$21bobo\$20bo3bo\$
20bo2bo4b2o\$20b3o5b2o\$7b3o10\$4b2o\$4b2o3\$10b2o\$9bo2bo\$3o7b2o2\$29bo5bo\$
29bo5bo\$3o26bo5bo\$9b3o\$9bo2bo18b3o\$8bo3bo\$8bo3bo9bo\$8bobob2o7bobo10bo\$
13bo6bo3bo9bo\$20bo3bo9bo\$8bo11bobo2bo\$9bo15b2o3b3o3b3o\$10bo9b2obob2o\$
23b3o8bo\$11b2o7b3obo9bo\$11b3o20bo\$4b3o5bo\$5b2o4bo3\$27bo\$19b2o5bo2bo\$
16b2ob2o\$16bo2bo6bo3bo\$15bo2bo11bo\$16bobo10b2o\$17bo7b3o\$21bo\$20b3obo2b
o\$19b2obo3bo\$18bo2bo\$18bo19b2o\$25bo3bo7bo2bo\$19bo4bo3bobo7b2o\$21b3o4bo
bo\$29bo5\$15bo\$14bobo\$14b2o5\$20b3o\$25b2o\$25b2o!
``````
EDIT 4: Six-cell (hexomino!) infinite growth:

Code: Select all

``````x = 4, y = 3, rule = B34j5k/S23
3bo\$4o\$o!
``````

77topaz
Posts: 1496
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 2 transitions from Life

B3-r5q/S23 has, along with the glider and WSSes, a 3c/6 B-ship:

Code: Select all

``````x = 3, y = 4, rule = B3-r5q/S23
b2o\$2o\$b2o\$2bo!
``````
It also has this nice natural p34 oscillator involving a honey farm and a tub:

Code: Select all

``````x = 13, y = 5, rule = B3-r5q/S23
10bo\$bo7bobo\$obo6bo2bo\$bo7bobo\$10bo!
``````
And a natural p58 that's somewhere in between twin bees and a tumbler:

Code: Select all

``````x = 11, y = 3, rule = B3-r5q/S23
2o7b2o\$o2bo3bo2bo\$b3o3b3o!
``````
EDIT: A 2c/18 diagonal:

Code: Select all

``````x = 8, y = 8, rule = B3-r5q/S23
5bo\$3b2ob2o\$2bob4o\$bo2bo\$b3o\$obo\$b2o\$b2o!
``````
p18 consisting of two p9s hassling a block:

Code: Select all

``````x = 3, y = 20, rule = B3-r5q/S23
o\$o\$o\$o\$o\$o3\$2o\$2bo\$2bo\$2o3\$o\$o\$o\$o\$o\$o!
``````
The p9s themselves resemble worker bee, but without the external stabilisation required.

77topaz
Posts: 1496
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 2 transitions from Life

B3/S234wz has a c/30 diagonal ship that evolves from the R-pentomino:

Code: Select all

``````x = 3, y = 3, rule = B3/S234wz
2bo\$3o\$bo!
``````
Two of them can slightly interact:

Code: Select all

``````x = 17, y = 17, rule = B3/S234wz
14b2o\$13b2obo\$13b2obo\$15bo10\$b2o\$3o\$o2bo\$b2o!
``````
It also has B3/S234w's 2c/7 diagonal and common p9. Unfortunately, the rule is explosive (just barely, like DryLife). One thing I've noticed from looking at the explosions' ash, though, is that shillelaghs are unusually common in this rule.

(A non-explosive rule featuring the c/30 diagonal is B3/S23-cy4wz. B3/S2-c4wz is also stable, and adds a c/14 diagonal as well as preserving the 2c/7 diagonal.)

(EDIT: B3/S23-c4wz does preserve the spaceships, but not the TL-based p9.)
Last edited by 77topaz on February 14th, 2019, 7:28 pm, edited 1 time in total.

Hunting
Posts: 4396
Joined: September 11th, 2017, 2:54 am

### Re: Rules 2 transitions from Life

Hdjensofjfnen wrote:The home of the most useless oscillator you will ever see:

Code: Select all

``````x = 6, y = 6, rule = B2n3/S23-y
4b2o\$5bo\$bo\$o\$o2bo\$b2o!
``````
At least it shows the catalysish of the block and the loaf.

Hdjensofjfnen
Posts: 1733
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Rules 2 transitions from Life

77topaz wrote:B3/S234wz has a c/30 diagonal ship that evolves from the R-pentomino:

Code: Select all

``````x = 3, y = 3, rule = B3/S234wz
2bo\$3o\$bo!
``````
Two of them can slightly interact:

Code: Select all

``````x = 17, y = 17, rule = B3/S234wz
14b2o\$13b2obo\$13b2obo\$15bo10\$b2o\$3o\$o2bo\$b2o!
``````
It also has B3/S234w's 2c/7 diagonal and common p9. Unfortunately, the rule is explosive (just barely, like DryLife). One thing I've noticed from looking at the explosions' ash, though, is that shillelaghs are unusually common in this rule.

(A non-explosive rule featuring the c/30 diagonal is B3/S23-cy4wz. B3/S2-c4wz is also stable, and adds a c/14 diagonal as well as preserving the p9 and 2c/7 diagonal.)
I posted that c/30 diagonal in "Rules 1 transition from Life" a long time ago.

Code: Select all

``````x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo\$4bo\$o2bo\$2o2\$2o\$o2bo\$4bo\$3bo!``````

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

77topaz
Posts: 1496
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 2 transitions from Life

Hdjensofjfnen wrote:I posted that c/30 diagonal in "Rules 1 transition from Life" a long time ago.
I think you must be mistaken, because the ship requires both S4w and S4z to work:

Code: Select all

``````x = 7, y = 6, rule = B3/S234wz
3bo\$2o3bo\$o2bob2o\$2obobo\$2b3o\$3bo!
``````

Code: Select all

``````x = 7, y = 6, rule = B3/S234w
3bo\$2o3bo\$o2bob2o\$2obobo\$2b3o\$3bo!
``````

Code: Select all

``````x = 7, y = 6, rule = B3/S234z
3bo\$2o3bo\$o2bob2o\$2obobo\$2b3o\$3bo!
``````