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### Rules 2 transitions from Life

Posted: October 5th, 2018, 8:28 am
Let's expand the search space!

B34yz/S23 decays slightly faster and has this B-puffer:
`x = 28, y = 40, rule = B34yz/S2318\$18bobo2\$12b3o7b4o\$12b2o4bo6bo\$2b3o7b2o5bo5bo\$20bo3bo\$22bo!`

### B3/S23-ik

Posted: October 5th, 2018, 4:05 pm
Some natural objects in B3/S23-ik:
`x = 57, y = 17, rule = B3/S23-ik24bo12b2o9b2o\$3bo7b2o10b3o11b2o9b2o5bo\$bob2o5bo2bo8bo2bo11b2o9b2o4bobo\$4o6bobo3bo4bo2bo11b3o8b3o5b2o\$2b4o5bob4o4bo2bo11b3o8b3o\$b2obo7b2obo6bo2bo11b2o9b2o\$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)
`x = 46, y = 20, rule = B3/S23-ik9b2o\$9b2o2\$28bo\$9b2o17bo\$5b2ob4ob2o12bo\$5b2obo2bob2o14bo14b2o\$29bo10b2ob3o\$5b2o6b2o12bo12bo4bo\$2o2b2o8b2o2b2o6b2o5b2o6b4o\$2o2b2o8b2o2b2o6b2o5b2o\$5b2o6b2o12bo13b4o\$29bo10bo4bo\$5b2obo2bob2o14bo10b2ob3o\$5b2ob4ob2o12bo16b2o\$9b2o17bo\$28bo2\$9b2o\$9b2o!`

### Re: Rules 2 transitions from Life

Posted: October 8th, 2018, 5:31 am
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.

### Re: Rules 2 transitions from Life

Posted: October 8th, 2018, 11:37 am
B2c3-j/s23
`x = 49, y = 75, rule = B2c3-j/S237\$10bo\$10bo\$10bo\$10bo\$9bobo\$9bobo\$10bo6\$8b2o\$8bobo\$10bobo17bobo\$11b2o16b2ob2o\$30bo2bo6\$10bo\$9b3o\$8bo2bo\$7b2o\$8b2o6\$22bobo2\$10bo9bo\$9b3o7b3o\$8bo2bo6bo2bo\$8b2o8b2o3\$26bo\$30bobo5b2o\$11bo12b3o2bo2bo5bo\$29bo2bo5b2o\$10bobo16b3o5b2o\$9b2ob2o\$10bobo2\$11bo5\$10b2o\$9bo3bo\$8bo4bo\$9bo3bo\$8bo3bo\$10bo\$10bo!`

Edit: New natural c/15
`x = 9, y = 8, rule = B2c3-j/S232bo\$bo\$o2bo\$2bobo3bo\$4bo3bo\$2bo2bo2bo\$4b2o\$5b2o!`

### Re: Rules 2 transitions from Life

Posted: October 8th, 2018, 5:48 pm
And, of course, nobody forget about tlife.

### Re: Rules 2 transitions from Life

Posted: October 12th, 2018, 5:11 pm
This rule has a 2g MWSS synth, inspired by Entity Valkyrie's profile picture:
`x = 7, y = 3, rule = B3-q4a/S23bo4bo\$2bob2o\$3o2b2o!`

### Re: Rules 2 transitions from Life

Posted: October 12th, 2018, 10:00 pm
B37/S23 and B3/S237 are both explosive, B37/S23 being slightly more so.

### Re: Rules 2 transitions from Life

Posted: October 12th, 2018, 11:19 pm
This p11 was a surprise:
`x = 5, y = 9, rule = B3-j/S0232o\$obo\$2b2o\$b2o3\$2bobo\$2bobo\$2b3o!`

EDIT: The pi alone works too

EDIT: As well as a p3 I have mentioned before:
`x = 2, y = 5, rule = B3-j/S023bo\$bo\$2o2\$o!`

EDIT: Unrelated rule, a p100 I have mentioned as well:
`x = 6, y = 7, rule = B3-r/S234z2bo\$b3o\$o2bo\$b2o2\$4b2o\$4b2o!`

### Re: Rules 2 transitions from Life

Posted: December 29th, 2018, 5:20 am
B3/S23-n4w has a natural puffer from a failed replicator:
`x = 5, y = 4, rule = B3/S23-n4w2bo\$bobo\$o3bo\$b3o!`

A more complicated variant:
`x = 15, y = 70, rule = B3/S23-n4w5b2ob2o\$5b2ob2o2\$5b2ob2o\$5b2ob2o41\$6b3o\$6bobo\$6bobo3\$3bo3bo3bo\$2bo3bobo3bo\$3bo3bo3bo2\$5bo3bo2\$b3o7b3o4\$b2o9b2o\$b2o2b2ob2o2b2o\$o4b2ob2o4bo\$b2o2b2ob2o2b2o\$b2o9b2o3\$5b2ob2o\$5b2ob2o\$7bo!`

### Re: Rules 2 transitions from Life

Posted: December 29th, 2018, 5:43 am
p136 shuttle in that rule:
`x = 51, y = 17, rule = B3/S23-n4w18bo18bo\$17b3o16b3o\$35bo\$16b2ob2o17b2o\$2bo14b3o28bo\$bobo14bo28bobo\$bobo9bo3bobo3bo23bobo\$2ob2o6bobo9bobo20b2ob2o\$10b2o13b2o\$2ob2o6bobo9bobo20b2ob2o\$bobo9bo3bobo3bo23bobo\$bobo14bo28bobo\$2bo14b3o28bo\$16b2ob2o17b2o\$35bo\$17b3o16b3o\$18bo18bo!`

EDIT: 3c/7:
`x = 7, y = 4, rule = B3/S23-n4wo5bo\$b2ob2o\$b2ob2o\$3bo!`

EDIT2: Fuse:
`x = 156, y = 13, rule = B3/S23-n4w23bo\$19bobo2b2o\$19bobo\$20b2o\$2o18bo2bo6bo39b2o26b2o26b2o26b2o\$2o19b3o5bobo38b2o26b2o26b2o26b2o\$29bo2bo\$2o19b3o5bobo38b2o26b2o26b2o26b2o\$2o18bo2bo6bo39b2o26b2o26b2o26b2o\$20b2o\$19bobo\$19bobo2b2o\$23bo!`

Fuse2:
`x = 240, y = 11, rule = B3/S23-n4w52b2o9b2o54b2o15b2o2\$44bo7bo11bo7bo47bo15bo\$2o41b3o25b3o24b2o26b2ob2o51b2o26b2o26b2o\$2o40b5o23b5o23b2o26b2ob2o51b2o26b2o26b2o\$41b2o3b2o21b2o3b2o\$2o40b5o23b5o23b2o26b2ob2o51b2o26b2o26b2o\$2o41b3o25b3o24b2o26b2ob2o51b2o26b2o26b2o\$44bo7bo11bo7bo47bo15bo2\$52b2o9b2o54b2o15b2o!`

Reburnable fuse:
`x = 21, y = 240, rule = B3/S23-n4w8b2ob2o\$8b2ob2o27\$8b2ob2o\$8b2ob2o27\$8b2ob2o\$8b2ob2o44\$10bo\$9bobo\$8bo3bo\$8bo3bo\$8bo3bo\$9bobo\$10bo\$6bo7bo\$5bobo5bobo\$bob2ob3o3b3ob2obo\$o2b2o2b3ob3o2b2o2bo\$bob2ob3o3b3ob2obo\$5bobo5bobo\$6bo7bo\$10bo\$9bobo\$8bo3bo\$8bo3bo\$8bo3bo\$9bobo\$10bo2\$8b2ob2o\$8b2ob2o2\$8b2ob2o\$8b2ob2o2\$10bo\$9bobo\$8bo3bo\$8bo3bo\$8bo3bo\$9bobo\$10bo\$6bo7bo\$5bobo5bobo\$bob2ob3o3b3ob2obo\$o2b2o2b3ob3o2b2o2bo\$bob2ob3o3b3ob2obo\$5bobo5bobo\$6bo7bo\$10bo\$9bobo\$8bo3bo\$8bo3bo\$8bo3bo\$9bobo\$10bo8\$10bo\$9bobo\$8bo3bo\$8bo3bo\$8bo3bo\$9bobo\$10bo\$6bo7bo\$5bobo5bobo\$bob2ob3o3b3ob2obo\$o2b2o2b3ob3o2b2o2bo\$bob2ob3o3b3ob2obo\$5bobo5bobo\$6bo7bo\$10bo\$9bobo\$8bo3bo\$8bo3bo\$8bo3bo\$9bobo\$10bo2\$8b2ob2o\$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...

### Re: Rules 2 transitions from Life

Posted: December 29th, 2018, 6:31 am
Two copies of the failedrep seed make a 28c/68 repship:
`x = 23, y = 27, rule = B3/S23-n4w7bo2bobo2bo\$7b3o3b3o\$6bo9bo4\$2bo5bo5bo5bo\$bobo4bo5bo4bobo\$o3bo13bo3bo\$bobo15bobo\$2bo17bo4\$3b2o13b2o\$3b2o13b2o8\$3b3o11b3o\$2bo3bo9bo3bo\$3bobo11bobo\$4bo13bo!`

One cell further apart and you get another puffer variant:
`x = 20, y = 4, rule = B3/S23-n4wb3o12b3o\$o3bo10bo3bo\$bobo12bobo\$2bo14bo!`

### Re: Rules 2 transitions from Life

Posted: December 29th, 2018, 6:35 am
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:
`x = 3, y = 4, rule = B34w/S235abo\$b2o\$obo\$bo!`

### Re: Rules 2 transitions from Life

Posted: January 6th, 2019, 1:04 am
p20 backrake in B2e3-a/S23:
`x = 20, y = 23, rule = B2e3-a/S2314b2o\$13bo\$14b3o2\$14b2o\$13bo\$14b2o2\$4b2o\$3bo3bo2bo3bo\$4b5obo2b2o2\$4b5obobobo\$3bo4bobobobo\$4b2o10b4o\$16bo2bo\$b2o13b4o\$o4bobobobo\$b5obobobo2\$b5obo2b2o\$o3bo2bo3bo\$b2o!`

Is a p40 rake possible?

### Re: Rules 2 transitions from Life

Posted: January 6th, 2019, 1:34 am
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:
`#C [[ STOP 26 ]]x = 3, y = 3, rule = B3/S237e83o\$obo\$obo!`

### Re: Rules 2 transitions from Life

Posted: January 6th, 2019, 2:43 am
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:
`#C [[ STOP 26 ]]x = 3, y = 3, rule = B3/S237e83o\$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:
`x = 3, y = 3, rule = B38/S237e3o\$obo\$obo!`

(See generations 26, 30, 146. Stabilization time is 556.)

### Re: Rules 2 transitions from Life

Posted: January 6th, 2019, 3:30 am
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:
`#C [[ STOP 26 ]]x = 3, y = 3, rule = B3/S237e83o\$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.

### Re: Rules 2 transitions from Life

Posted: January 6th, 2019, 4:42 am
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:
`#C [[ STOP 26 ]]x = 3, y = 3, rule = B3/S237e83o\$obo\$obo!`

Very large ships don't seem to stabilize at all.

WAIT! EVEN A 16x16 SOUP CAN EXPLODE!

`x = 16, y = 16, rule = B3/S237e83obob2obobo\$b3o3b3obo2b2o\$4obo2bo3b3o\$o2bob2ob3ob3o\$o6bo3bo\$o4b2o3bob3o\$2bo2b2o2b3o\$obobo6b3o\$2bob8o3bo\$b2o2b3o2bo3bo\$bob2o2bob2obob2o\$o4b3o3bob3o\$b3o3bobo3b3o\$2bobo3b2obo2b2o\$o3bobo2b2o2b3o\$2bo2b2ob3o3bo!`

### Re: Rules 2 transitions from Life

Posted: January 31st, 2019, 2:54 am
B2n3-q/S23.

### Re: Rules 2 transitions from Life

Posted: January 31st, 2019, 8:55 pm
The home of the most useless oscillator you will ever see:
`x = 6, y = 6, rule = B2n3/S23-y4b2o\$5bo\$bo\$o\$o2bo\$b2o!`

### Re: Rules 2 transitions from Life

Posted: February 12th, 2019, 9:06 pm
Natural puffer in B34j5k/S23:
`x = 63, y = 14, rule = B34j5k/S2322bo\$20b2ob2o\$20b2ob2o\$33b2o\$2bo18bobo8bo2bo9b2o14b2o\$b2o4b2o5bo4b4o10b2o10b2o14b2o\$2o5b3o3bobo2bobo\$bobo5bo3bo2bo8b2o23bo\$2b2o3b3o3bobo2b3o2b2o2bo19bob2o\$8bo3b2o9b3ob2o16bo5bo\$12b2o7b3o2b2o6bo11bo3bo\$20bo3b3o6bobo5bobo3b3o\$20bo3b2o7bobo12bo\$21b3o10bo6bobo!`

(As a side note, the same pattern run in just B34j/S23 produces a MMS breeder.)

EDIT: Another, messier puffer:
`x = 23, y = 99, rule = B34j5k/S239b3o\$9bo2bo\$8bo2b2o\$8b2o4\$7b2ob2o\$7bo\$7b2ob2o\$9bo2\$5bo2bo\$9bo\$9bo\$5b2ob2o\$7bo4\$8bo\$6b2ob2o\$9bobo\$9b2ob2o\$8b3o3bo\$7b2o2b2o\$11bo3bo\$9bo2bo2bo\$14bo\$13bo\$11b3o8\$6b2o\$6b2o4b2o\$3bo7bobo\$3bo2b2o4bo\$6bo3\$6bo\$bo4bo\$bo\$o4bo\$2ob2o3\$19bo\$18bobo\$18bobo\$19bo\$15bo\$15bo\$15bobo\$15b3o2\$13b2obo\$5b3o5b2ob2o2\$3bo5bo\$3bo5bo\$3bo5bo2\$5b3o8b2o\$13bo2bo\$13bo2bo\$12b4o\$13b4o2b2o\$14b2o2bo2bo\$19b2o5\$4bo\$4bo\$4bo2\$6b3o13\$20b2o\$19bo2bo\$20b2o!`

And a symmetrical one:
`x = 33, y = 24, rule = B34j5k/S232b2o\$2b2o6b3o\$9b4o\$bo7bo2bo2b2o\$2o21bo\$5b2o14b2obo4bo\$o15bo7bo3bob2o\$6o9b4o9bo3bo\$2b4o9bo7bo4b2o2bo\$5bo8bob3o9b2ob2o\$9bo7bo2bo8b2o\$8bobob3o4b3o\$8bobob3o4b3o\$9bo7bo2bo8b2o\$5bo8bob3o9b2ob2o\$2b4o9bo7bo4b2o2bo\$6o9b4o9bo3bo\$o15bo7bo3bob2o\$5b2o14b2obo4bo\$2o21bo\$bo7bo2bo2b2o\$9b4o\$2b2o6b3o\$2b2o!`

EDIT 2: A specific combination of the two basic blockpuffers gives a bonus beehive:
`x = 41, y = 98, rule = B34j5k/S2323b2o\$6b2o15b2o\$6b2o2\$24bo\$23bobo\$23bobo\$7bobo14bo\$4bo3bo3bo2\$4bo3bo3bo\$6bobo\$7b5o\$7b2obo2\$28b6o2bo2bo\$12b2o9b2o2bo6b3o3bo\$6b2ob2ob2o9b2o2bo7b2o\$7b6o15b3ob2o\$8b4o22b2obo\$24bo10b5o\$23bobo10b3o\$23bobo\$11b3o10bo\$10b2o2bo\$8b2o4bo\$8b2ob2o2bo\$8bo3b4o\$9bobo2b2o\$10bo2\$32b3o\$20b3o7b2ob2o\$19bo2bo6bo2bo2bo\$19bo9bo2b3o\$20b2o8b5o\$24bo\$6b3o14bobo\$6bobo14bobo\$6bo2bo14bo\$8b2o6\$25bo\$24b3o\$24b2obo\$8bo7b2o9b2o\$7bo7bo2bo7b2o\$10b3ob2o2bo\$11bob2ob2o\$9bo4bo8b2o\$7b2obo\$6bo6bo12b2o\$2o4b2obobo14b3o\$2o3bo5bo10bo4bobo\$5bob4o13b2o2b2o\$6b4o10bo\$7b2o11bo\$18bo2bo\$2bo2bo11bo2b2o\$5bo9b2o3b2o\$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:
`x = 38, y = 276, rule = B34j5k/S2311b3o\$11bo2bo\$9bo4bo\$12bob2o\$12bob2o\$9bo2b2o\$10b3o4\$8b2o\$7bo\$7bo3bo\$8bo3bo\$8b3o\$9bo4bo\$8b2o5bo\$9b2obobo\$10b4o\$11bo7\$14bo\$6b2o5bobo\$5bo2bo4bobo\$6b2o6bo3\$15bo\$15bo\$7b2o\$6b2obo\$bobo3bob2o\$o2bo3bob2o\$o2bo3bo2bo\$b2o5bob2o\$10bobo\$10bo3bo\$10bo3bo\$11bo2b2o\$14b2o\$14bo10\$13b2o\$13b2o15\$13b2o\$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\$23b3o\$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\$18b2o3b2o4b3o\$24b2o2bo3bo\$28bo3bo\$20b4o4bo3bo\$20b4o5b3o\$22bo5\$24b3o\$24bobo\$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):
`x = 16, y = 16, rule = B34j5k/S237obobobobo\$6bob2o2b2o\$obo2b2obob4o\$3b4o2b5o\$ob2o3b5o2bo\$2o2b3o2bobo\$3bo2b4obobo\$2b2o2bob2o2b3o\$b3o2b2o5bobo\$o3bo7bo\$bo2bob5o2bobo\$4bo2bobo2b4o\$bo3bob5ob3o\$ob5o2bo3b2o\$b8obo3b2o\$o4b4obo3bo!`

Also, several other distinct natural, high-period puffers:

`x = 29, y = 111, rule = B34j5k/S2314b2ob2o\$13bobob2o\$14bo4\$14bo\$13bobo\$14b2o\$3b2o\$3b2o5bo\$9bobo8b2o\$9bobo8b2o\$10bo\$3bo12bo\$3bo11bobo\$3bo11bobo\$16bo8\$24b2o\$23bo2bo\$24b2o8\$15b3o\$15b3o\$14bo3bo\$9bo4b2ob2o\$8bobo\$8bobo\$9bo14b2o\$23bo2bo\$24b2o\$4b3o8b2o\$4b3o7bobo\$2b2o9b2o2bo2bo5b2o\$2b2o10b2o5bo3bo2bo\$2b2o11bo4bo5b2o\$10b2o4b4o\$10b2o5bo\$10b2o\$7b3o\$7b3o4bo\$14bo\$14bo2\$10b3o3b3o2\$14bo\$14bo\$14bo\$2b2o\$2b2o4\$10bo\$2b3o4b3o\$2bobo3b5o\$2o2bo2b2o\$o5b3o2b2o\$3o5b4o\$9b2o3\$5b2o\$4b2o\$5bo\$2bob2obo\$bo4bobo\$6bobo\$2bob2obo3\$17b2o\$17b2o\$2o8b3o\$2o8b3o2\$5bo12bo\$4bobo11bo\$4bobo4b2o5bo\$5bo5b2o\$11b3o\$9b2obo\$8bo3bo\$8bo3bo\$9b3o4b2o\$3b2o12b2o\$3b3o10b3o\$4bo12bo3\$6b2o6b2o\$5b2o2bo2bo2b2o\$4b2o3bo2bo3b2o\$4b4obo2bob4o\$5bo2b2o2b2o2bo\$6b3o4b3o\$7bo6bo!`

`x = 57, y = 216, rule = B34j5k/S234b3o28bo\$35bo\$35bo2\$31b3o3b3o2\$21b2o12bo\$21bobo11bo\$22bo12bo2\$39b2o\$35bo3b2o\$35bo\$35bo2\$31b3o3b3o\$18b2o\$17bo2bo14bo13b2o\$18b2o15bo12bo2bo\$7bo2bo24bo13b2o\$7bo2bo\$3o7bo\$9b2o24bo\$4b2o3b2o12b2o9bobo\$3bo4bobo12b2o10bo\$4b5obo\$4b4ob3ob3o\$6b2ob2o\$7b3o\$8bo2\$26b3o2\$24bo\$24bo\$24bo3\$9bo\$9bo\$9bo\$4b3o2\$8b2o18b2o\$8b2o18b2o2\$b2o\$b2o\$35bo\$35bo\$35bo2\$4b2o25b3o3b3o\$3bo2bo\$3bo2bo14b2o12bo\$4b2o15bobo11bo\$22bo12bo8\$4b3o5\$32b2o\$32b2o5\$9bo44b2o\$8bobo42bo2bo\$9b2o43b2o\$22b2o\$22b2o2\$35b2o9b2o\$34bo2bo7bobo\$12b2o9bo11b2o3b2o4bo\$4b2o6b2o9bo16b2o\$3bo2bo16bo\$3bo2bo\$4b2o11bo\$13b2obobo\$13b2obobo\$17bo\$28b2o\$28b2o4\$4b3o28bo\$35bo\$35bo2\$31b3o3b3o2\$21b2o12bo\$21bobo11bo\$22bo12bo7\$20b2o\$20b2o4\$4b2o\$3bo2bo16bo2b2o\$3bo2bo11bob2ob2o\$4b2o11bo3bo2bo18b3o\$21bo2b2o16bo\$17bo3bob2o7b2o7bo\$20bo12bo7bo2b2o\$34b2o5b2o2b3o\$35b2o8b3o\$36b2o7b2o2\$24b3o6bo\$11b3o11b3o5b2o3b2o\$10bo3bo11bobo3b2o3b3o\$10bo4bo11b2o3bo5b2o\$11b2o2bo\$13b2o3\$30b2o\$30b2o\$2b2o\$2bo\$13b3o12b2o\$28b2o2\$b2o\$b2o\$35bo\$35bo\$35bo2\$4b2o25b3o3b3o\$3bo2bo\$3bo2bo14b2o12bo\$4b2o15bobo11bo\$22bo12bo8\$8bo\$7b3o15b2o\$7bo2bo13bo2bo\$10b2o13b2o\$9b2o\$23bo\$21bo2bo\$5b3o13bobo9bo\$4bo3bo13b2o7bo2bo\$4bo3bo21b2ob2o\$4bo3bo14b3o5bo\$5b3o24b2o2\$20b2o7bo\$19b3o6bobo\$15b2o2b2o7bo2bo\$15b2o2bob2o\$8b2o10bobo\$8b3o8bo\$2b2o4b3o9b2ob3o\$b2o5b2o13bo2bo\$2b3obob2o12b2o\$3b4o5bo11b3o\$5bo4bo2bo\$10bo2bo\$10b2ob2o\$9bobo12b3o\$9b2ob2obo8bo2bo\$9b4o11bob2o\$5b2o4b2o4b3o8b2o\$5b2o6bo3b2obo6b3o\$5b2o6bo4bob2obo4bo\$12bo6bob2obo\$22bobo\$23bo3\$23bo\$23b3o\$23bo2bo\$25b2o\$9b3o\$10b2o\$7bo2b2o\$7b2o13b3o\$21b2o2bo\$19b2obo\$9b2o8b2obo\$9bob2o7bo4bo\$9bo3bo6bo2bo\$10bo10b3o3\$9b2o2bo\$9bo2bo\$10b3o!`

`x = 47, y = 147, rule = B34j5k/S2317b3o\$17bo2bo7bo\$16bo3bo6b3o\$16b3o2bo4bo2b2o\$17b4o5b3obo\$29b2o3\$21bo\$22bo7b2o\$18bo2bo10bo\$18bo2bo6b4o\$19bo8b3o3\$19b2ob2o\$19b2o3bo6b3o\$17bo4bobo5b4o\$15b3o5bo5b3o\$27b2ob4o\$21bo5bo2bo3bo\$19b2o6bob3obo\$19bo8b3o2bo\$29b3o\$30b2o\$17b2o\$17b2o9bo\$27bobo\$21bo5bobo\$20b3o5bo\$19b2o2bo\$18b2ob3o\$18bo2b2o2\$21bo\$20b2ob2o\$21bob2o\$21bo3bo\$23b2o\$20b2ob2o\$21b2o\$21bo\$21bo9\$37b3o\$35bobo\$34bob2o\$33bo2bo\$33b2o\$16bo17b2o\$15bobo15bo\$14bo3bo12b2o5bo\$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\$20b3obo2bo\$19b2obo3bo\$18bo2bo\$18bo19b2o\$25bo3bo7bo2bo\$19bo4bo3bobo7b2o\$21b3o4bobo\$29bo5\$15bo\$14bobo\$14b2o5\$20b3o\$25b2o\$25b2o!`

EDIT 4: Six-cell (hexomino!) infinite growth:
`x = 4, y = 3, rule = B34j5k/S233bo\$4o\$o!`

### Re: Rules 2 transitions from Life

Posted: February 13th, 2019, 10:27 pm
B3-r5q/S23 has, along with the glider and WSSes, a 3c/6 B-ship:
`x = 3, y = 4, rule = B3-r5q/S23b2o\$2o\$b2o\$2bo!`

It also has this nice natural p34 oscillator involving a honey farm and a tub:
`x = 13, y = 5, rule = B3-r5q/S2310bo\$bo7bobo\$obo6bo2bo\$bo7bobo\$10bo!`

And a natural p58 that's somewhere in between twin bees and a tumbler:
`x = 11, y = 3, rule = B3-r5q/S232o7b2o\$o2bo3bo2bo\$b3o3b3o!`

EDIT: A 2c/18 diagonal:
`x = 8, y = 8, rule = B3-r5q/S235bo\$3b2ob2o\$2bob4o\$bo2bo\$b3o\$obo\$b2o\$b2o!`

p18 consisting of two p9s hassling a block:
`x = 3, y = 20, rule = B3-r5q/S23o\$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.

### Re: Rules 2 transitions from Life

Posted: February 14th, 2019, 4:52 am
B3/S234wz has a c/30 diagonal ship that evolves from the R-pentomino:
`x = 3, y = 3, rule = B3/S234wz2bo\$3o\$bo!`

Two of them can slightly interact:
`x = 17, y = 17, rule = B3/S234wz14b2o\$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.)

### Re: Rules 2 transitions from Life

Posted: February 14th, 2019, 12:35 pm
Hdjensofjfnen wrote:The home of the most useless oscillator you will ever see:
`x = 6, y = 6, rule = B2n3/S23-y4b2o\$5bo\$bo\$o\$o2bo\$b2o!`

At least it shows the catalysish of the block and the loaf.

### Re: Rules 2 transitions from Life

Posted: February 14th, 2019, 5:29 pm
77topaz wrote:B3/S234wz has a c/30 diagonal ship that evolves from the R-pentomino:
`x = 3, y = 3, rule = B3/S234wz2bo\$3o\$bo!`

Two of them can slightly interact:
`x = 17, y = 17, rule = B3/S234wz14b2o\$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.

### Re: Rules 2 transitions from Life

Posted: February 14th, 2019, 7:04 pm
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:
`x = 7, y = 6, rule = B3/S234wz3bo\$2o3bo\$o2bob2o\$2obobo\$2b3o\$3bo!`

`x = 7, y = 6, rule = B3/S234w3bo\$2o3bo\$o2bob2o\$2obobo\$2b3o\$3bo!`

`x = 7, y = 6, rule = B3/S234z3bo\$2o3bo\$o2bob2o\$2obobo\$2b3o\$3bo!`