## Rules 2 transitions from Life

For discussion of other cellular automata.

### Rules 2 transitions from Life

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!
Last edited by KittyTac on October 5th, 2018, 10:01 pm, edited 1 time in total.

KittyTac

Posts: 533
Joined: December 21st, 2017, 9:58 am

### B3/S23-ik

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! Ian07 Posts: 277 Joined: September 22nd, 2018, 8:48 am ### 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. 77topaz Posts: 1345 Joined: January 12th, 2018, 9:19 pm ### Re: Rules 2 transitions from Life 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! Last edited by Sarp on October 9th, 2018, 12:58 am, edited 1 time in total. WADUFI Sarp Posts: 203 Joined: March 1st, 2015, 1:28 pm ### Re: Rules 2 transitions from Life And, of course, nobody forget about tlife. x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1860 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Rules 2 transitions from Life This rule has a 2g MWSS synth, inspired by Entity Valkyrie's profile picture: x = 7, y = 3, rule = B3-q4a/S23bo4bo$2bob2o$3o2b2o! she/they // Please stop using my full name. Refer to me as dani. "I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D. danny Posts: 960 Joined: October 27th, 2017, 3:43 pm Location: New Jersey, USA ### Re: Rules 2 transitions from Life B37/S23 and B3/S237 are both explosive, B37/S23 being slightly more so. KittyTac Posts: 533 Joined: December 21st, 2017, 9:58 am ### Re: Rules 2 transitions from Life This p11 was a surprise: x = 5, y = 9, rule = B3-j/S0232o$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! Life is hard. Deal with it. My favorite oscillator of all time: x = 7, y = 5, rule = B3/S2-i3-y4i4b3o$6bo$o3b3o$2o$bo! Hdjensofjfnen Posts: 1199 Joined: March 15th, 2016, 6:41 pm Location: r cis θ ### Re: Rules 2 transitions from Life 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! Last edited by 77topaz on December 29th, 2018, 6:33 am, edited 2 times in total. 77topaz Posts: 1345 Joined: January 12th, 2018, 9:19 pm ### Re: Rules 2 transitions from Life 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...
she/they // Please stop using my full name. Refer to me as dani.

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.

danny

Posts: 960
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA

### Re: Rules 2 transitions from Life

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!
Last edited by 77topaz on December 29th, 2018, 6:40 am, edited 1 time in total.

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 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:
x = 3, y = 4, rule = B34w/S235abo$b2o$obo$bo! Sadly, it's explosive. she/they // Please stop using my full name. Refer to me as dani. "I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D. danny Posts: 960 Joined: October 27th, 2017, 3:43 pm Location: New Jersey, USA ### Re: Rules 2 transitions from Life 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$b2o! Is a p40 rake possible? x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o! LaundryPizza03 at Wikipedia LaundryPizza03 Posts: 442 Joined: December 15th, 2017, 12:05 am Location: Unidentified location "https://en.wikipedia.org/wiki/Texas" ### Re: Rules 2 transitions from Life B3/S237e8 seems not interesting, but take way more time than Life to stable when the soup size is large enough. EDIT: Pi-heptomino acts like a failed replicator: #C [[ STOP 26 ]]x = 3, y = 3, rule = B3/S237e83o$obo$obo! This post was brought to you by the Element of Magic. Plz correct my grammar mistakes. I'm still studying English. Working on: Nothing. Favorite gun ever: #C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo$4o3$4o$o2bo!
Hunting

Posts: 1083
Joined: September 11th, 2017, 2:54 am
Location: Ponyville, Equestria

### 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:
#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.)
x = 4, y = 3, rule = B3-q4z5y/S234k5j2b2o$b2o$2o!

LaundryPizza03 at Wikipedia

LaundryPizza03

Posts: 442
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### 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:
#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.
This post was brought to you by the Element of Magic.

Plz correct my grammar mistakes. I'm still studying English.

Working on:

Nothing.

Favorite gun ever:
#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo$4o3$4o$o2bo! Hunting Posts: 1083 Joined: September 11th, 2017, 2:54 am Location: Ponyville, Equestria ### 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: #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!
This post was brought to you by the Element of Magic.

Plz correct my grammar mistakes. I'm still studying English.

Working on:

Nothing.

Favorite gun ever:
#C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo$4o3$4o$o2bo! Hunting Posts: 1083 Joined: September 11th, 2017, 2:54 am Location: Ponyville, Equestria ### Re: Rules 2 transitions from Life B2n3-q/S23. This post was brought to you by the Element of Magic. Plz correct my grammar mistakes. I'm still studying English. Working on: Nothing. Favorite gun ever: #C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo$4o3$4o$o2bo!
Hunting

Posts: 1083
Joined: September 11th, 2017, 2:54 am
Location: Ponyville, Equestria

### Re: Rules 2 transitions from Life

The home of the most useless oscillator you will ever see:
x = 6, y = 6, rule = B2n3/S23-y4b2o$5bo$bo$o$o2bo$b2o! Life is hard. Deal with it. My favorite oscillator of all time: x = 7, y = 5, rule = B3/S2-i3-y4i4b3o$6bo$o3b3o$2o$bo! Hdjensofjfnen Posts: 1199 Joined: March 15th, 2016, 6:41 pm Location: r cis θ ### Re: Rules 2 transitions from Life 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!

77topaz

Posts: 1345
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:
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. 77topaz Posts: 1345 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: 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.)
Last edited by 77topaz on February 14th, 2019, 7:28 pm, edited 1 time in total.

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Rules 2 transitions from Life

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. This post was brought to you by the Element of Magic. Plz correct my grammar mistakes. I'm still studying English. Working on: Nothing. Favorite gun ever: #C Favorite Gun. Found by me.x = 4, y = 6, rule = B2e3i4at/S1c23cijn4ao2bo$4o3$4o$o2bo!
Hunting

Posts: 1083
Joined: September 11th, 2017, 2:54 am
Location: Ponyville, Equestria

### Re: Rules 2 transitions from Life

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. Life is hard. Deal with it. My favorite oscillator of all time: x = 7, y = 5, rule = B3/S2-i3-y4i4b3o$6bo$o3b3o$2o$bo! Hdjensofjfnen Posts: 1199 Joined: March 15th, 2016, 6:41 pm Location: r cis θ ### 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: 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!

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

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