## Rules 2 transitions from Life

For discussion of other cellular automata.
KittyTac
Posts: 533
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
Posts: 576
Joined: September 22nd, 2018, 8:48 am

### 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: 1497 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: 215 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. WADUFI A for awesome Posts: 2076 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) x₁=ηx V*_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ dani Posts: 1004 Joined: October 27th, 2017, 3:43 pm Location: New Jersey, USA Contact: ### 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$3o2b2o!  she/her moose#0915 KittyTac Posts: 533 Joined: December 21st, 2017, 9:58 am ### Re: Rules 2 transitions from Life B37/S23 and B3/S237 are both explosive, B37/S23 being slightly more so. Hdjensofjfnen Posts: 1570 Joined: March 15th, 2016, 6:41 pm Location: r cis θ ### Re: Rules 2 transitions from Life This p11 was a surprise: Code: Select all x = 5, y = 9, rule = B3-j/S023 2o$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: 1497
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: 1004
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA
Contact:

### 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... she/her moose#0915 77topaz Posts: 1497 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$2bo14bo!  Last edited by 77topaz on December 29th, 2018, 6:40 am, edited 1 time in total. dani Posts: 1004 Joined: October 27th, 2017, 3:43 pm Location: New Jersey, USA Contact: ### Re: Rules 2 transitions from Life Oh, hey, that's a thing. I don't know if a gun is possible... - Here's a 2tran rule with a familiar four MWSS: Code: Select all x = 3, y = 4, rule = B34w/S235a bo$b2o$obo$bo!

she/her
moose#0915

LaundryPizza03
Posts: 871
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 31117 spaceships and 1150 oscillators from outer-totalistic rules. You are invited to help!

Hunting
Posts: 3315
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!

I might hate myself tomorrow but I'm on my way tonight
Moosey wrote:
February 5th, 2019, 7:51 pm
“New knightship tagalong!”
“Quick, hide it!”
My TODO list

LeapLife - DirtyLife - LispLife

LaundryPizza03
Posts: 871
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 31117 spaceships and 1150 oscillators from outer-totalistic rules. You are invited to help!

Hunting
Posts: 3315
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.
I might hate myself tomorrow but I'm on my way tonight
Moosey wrote:
February 5th, 2019, 7:51 pm
“New knightship tagalong!”
“Quick, hide it!”
My TODO list

LeapLife - DirtyLife - LispLife

Hunting
Posts: 3315
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! I might hate myself tomorrow but I'm on my way tonight Moosey wrote: February 5th, 2019, 7:51 pm “New knightship tagalong!” “Quick, hide it!” My TODO list LeapLife - DirtyLife - LispLife Hunting Posts: 3315 Joined: September 11th, 2017, 2:54 am ### Re: Rules 2 transitions from Life B2n3-q/S23. I might hate myself tomorrow but I'm on my way tonight Moosey wrote: February 5th, 2019, 7:51 pm “New knightship tagalong!” “Quick, hide it!” My TODO list LeapLife - DirtyLife - LispLife Hdjensofjfnen Posts: 1570 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: 1497 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: 1497
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: 1497 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: 3315
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. I might hate myself tomorrow but I'm on my way tonight Moosey wrote: February 5th, 2019, 7:51 pm “New knightship tagalong!” “Quick, hide it!” My TODO list LeapLife - DirtyLife - LispLife Hdjensofjfnen Posts: 1570 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: 1497 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!