## Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.

### Re: Miscellaneous Discoveries in Other Cellular Automata

Βεν Γ. Κυθισ wrote:I found a p64 12-cell:
x = 3, y = 4, rule = B2ci3-cqr4ajkqyz5i6ack/S01c2ein3aknry4ejt5cn6no$o$obo$o! I think that's the wrong RLE — that's the one I posted. 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: 1877 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Miscellaneous Discoveries in Other Cellular Automata The highest-period natural spaceship I've found in a while (11c/22): x = 6, y = 4, rule = B2-ak3ei/S12-ab2obo$2bo2bo$o4bo$4bo!

EDIT: Wow. Here's another 11c/22:
x = 15, y = 12, rule = B2-ak3ei/S12-a13bo$9bo4bo$11bo2bo$10b2obo2$o5bo2bo$o5bo2bo2$10b2obo$11bo2bo$9bo4bo$13bo! EDIT: This puffer is pretty neat, not gonna lie: x = 19, y = 14, rule = B2-ak3ei/S12-a4bo$o4bo$2bo2bo11bo$b2obo8bo4bo$15bo2bo$14b2obo2$4bo5bo2bo$4bo5bo2bo2$14b2obo$15bo2bo$13bo4bo$17bo!

x = 46, y = 15, rule = B2-ak3ei/S12-a31b2o$30bobo$26bo5bo11b2o$29bob2o10bobo$30bo14bo$42bob2o$27bo15bo$9bo10bo6bo3bo5bo2bo$9bo10bo10bo5bo2bo$43bo$42bob2o$2bo42bo$3bo39bobo$o2bo40b2o$2bo!

EDIT: Eater:
x = 11, y = 17, rule = B2-ak3ei/S12-a10bo$b2obo5bo$2bo2bo$o4bo$4bo8$10bo$4bo5bo$5bo$5bo$4bo! EDIT: Different rule, 12c/24: x = 5, y = 12, rule = B2-ak3ei4y/S12-abobo$bo2bo$4bo$3bo$2o3$2o$3bo$4bo$bo2bo$bobo!
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i4b3o$6bo$o3b3o$2o$bo!

Hdjensofjfnen

Posts: 1295
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Miscellaneous Discoveries in Other Cellular Automata

Smallest predecessors that I found to a linear spacefiller in my "Castles" rule:

-smallest bounding box (6x6)
x = 6, y = 6, rule = B3678/S135678bob3o$6o$bob3o$3obo$6o$3obo! -smallest population (14) x = 16, y = 16, rule = B3678/S13567815bo$14bo2$4bo$3b2obo2$4bo3$11bo2$9bob2o$11bo2$bo$o!

99.9% sure that smaller predecessors in both criteria do not exist in B3678/S135678.

Bigger question: is there a smaller predecessor to a linear spacefiller in any OT rule?
melwin22

Posts: 27
Joined: September 9th, 2017, 5:40 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

melwin22 wrote:"Castles"

That rule has this, if you want to work with it:
x = 19, y = 18, rule = B3678/S1356786bo2bobobobo2bo$7b11o$7b11o$6b13o$7b11o$7b12o$5b13o$5b14o$3b15o$3b16o$b17o$b17o$11o2bobo2bo$b10o$b8o$9o$4o2bo$b2o! That that is, is. That that is not, is not. Is that it? It is. A predecessor to my favorite oscillator of all time: x = 7, y = 5, rule = B3/S2-i3-y4i4b3o$6bo$o3b3o$2o$bo! Hdjensofjfnen Posts: 1295 Joined: March 15th, 2016, 6:41 pm Location: r cis θ ### Re: Miscellaneous Discoveries in Other Cellular Automata Hdjensofjfnen wrote:That rule has this, if you want to work with it: x = 19, y = 18, rule = B3678/S1356786bo2bobobobo2bo$7b11o$7b11o$6b13o$7b11o$7b12o$5b13o$5b14o$3b15o$3b16o$b17o$b17o$11o2bobo2bo$b10o$b8o$9o$4o2bo$b2o!

I'm working with it for like 3 months...

"Castles" have at least four different diagonal wickstretchers, with speeds of 2c/48, 2c/18 and 2c/14 (if I calculated this correctly), though that one you mentioned is the most common one:

x = 67, y = 15, rule = B3678/S135678b2o41b2obo13b2o$b2o41b2obo13b2o$4o27b2obo8b3o13b4obo$b2o28b2o11b2o13b5o$3o28b4o9b4o9b10o$b4o26b4o7b6o10b9o$b4o38b7o9b6o$2b3obo36b7o8b7o$2b4o36bo4bo11bob2o$4b5o53bo$4b5o2bobo$6b10o$7b9o$6b2o2bo2bo$10bo!

and at least five different orthogonal wickstretchers (4c/74, 2c/22, 2c/8 and 2c/4):

x = 60, y = 14, rule = B3678/S135678obobobobobobobo4bobobobo27bo4bo$b13o6b5o29b4o$15o4b7o8bo8bobobo5b2o2b2o$b13o6b5o8b3o7b5o5b6o$15o4b7o6b5o5b3ob3o3b3o2b3o$b13o6b5o8b3o7bo3bo5bo4bo$ob11obo5b5o9bo$bob9obo7b3o8bo3bo$3b9o10bo10bobo$3b9o$4b7o2$6bobo$7bo!

and many, many more stuff, for example:
http://www.conwaylife.com/forums/viewtopic.php?f=11&t=3416#p80025 (two last things in this post)
http://www.conwaylife.com/forums/viewtopic.php?f=11&t=3120&start=400#p79304
melwin22

Posts: 27
Joined: September 9th, 2017, 5:40 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

melwin22 wrote:Bigger question: is there a smaller predecessor to a linear spacefiller in any OT rule?

from spiral-growth.rle:
8 cells
x = 6, y = 4, rule = B34568/S156782bobo$2bo2bo$o2bo$bobo! 5*4 bounding box: x = 5, y = 4, rule = B34568/S156782bobo$obobo$2o$b2o!
"Build a man a fire and he'll be warm for a day. Set a man on fire and he'll be warm for the rest of his life."

-Terry Pratchett

toroidalet

Posts: 1002
Joined: August 7th, 2016, 1:48 pm
Location: my computer

### Re: Miscellaneous Discoveries in Other Cellular Automata

That 'castles' rule is neat.

C/2 wickstretcher:
x = 17, y = 41, rule = B3678/S1356782bo3bo3bo3bo$b3ob3ob3ob3o$2b5o3b5o$b2o3b2ob2o3b2o$3b2o3bo3b2o$b4o3bo3b4o$b15o$2b2ob2obob2ob2o2$3bobo2bo2bobo$7bobo$6b2ob2o$2b3o2bobo2b3o$4b3obob3o$b3o2bo3bo2b3o$3bo9bo$5b2o3b2o$3b2obo3bob2o$2bobo7bobo$3b4obob4o$3b11o$4b9o$3b11o$4b9o$3b11o$4b9o$3b11o$4b9o$3b11o$4b9o$3b11o$4b9o$3b11o$4b9o$3b11o$4b9o$3b11o$4b9o$3b2obobobob2o$2bo11bo$4b2o5b2o! 2c/5 wickstretcher: x = 18, y = 159, rule = B3678/S1356784bo8bo$3bo10bo$2bobobo4bobobo$5bo6bo$2bob2ob4ob2obo$2bo3bo4bo3bo$2b2ob3o2b3ob2o$2b3obob2obob3o$3bo4b2o4bo$5bobo2bobo$5bo6bo$2b3o8b3o$2b2o4b2o4b2o$2bobob2o2b2obobo$b2o12b2o$b2o2b3o2b3o2b2o$2bo2b2ob2ob2o2bo$6bo4bo$3b3o6b3o$2bo2bo6bo2bo$3bo10bo$5bobo2bobo$3b3o6b3o$2b4o6b4o$2bo12bo$3bo10bo$2b5o4b5o$5b2o4b2o$2bo2b3o2b3o2bo$3bo10bo$3bobo6bobo$5b2o4b2o$3b2o8b2o$5b3o2b3o$3bo2b2o2b2o2bo$2bob2o6b2obo$2bobo8bobo$2b2o10b2o$2bo12bo2$b2obo8bob2o$2b2o2bo4bo2b2o$b2o2bob4obo2b2o$2b6o2b6o$2bob2o2b2o2b2obo$2bo12bo$2bo4b4o4bo$3b4o4b4o$2b6o2b6o$2bobo2b4o2bobo$4bo8bo$2bo2b2o4b2o2bo$2b4ob4ob4o$3b2o3b2o3b2o$3b2o3b2o3b2o$2bo5b2o5bo$3b2o3b2o3b2o$3bo2bob2obo2bo$5bo2b2o2bo$bo3b2ob2ob2o3bo$obob2ob4ob2obobo$5bo2b2o2bo$5bob4obo$3b2ob6ob2o$7b4o$3bobo2b2o2bobo$2bob2obo2bob2obo$2b2o3bo2bo3b2o$3bo2bob2obo2bo$2b2obo6bob2o$bobo10bobo$3bobobo2bobobo$4b3ob2ob3o$3bob3o2b3obo$3bo2b6o2bo$3bo2b6o2bo$3b2ob6ob2o$3b2ob6ob2o$5b8o$3bo2b6o2bo$3b2ob6ob2o$bo2bo2b4o2bo2bo$3b4o4b4o$2bob4o2b4obo$2bo2b2o4b2o2bo$5bob4obo$3b3o2b2o2b3o$3bob3o2b3obo$2b2o3bo2bo3b2o$4b2o6b2o$2bob3o4b3obo$bobo2bo4bo2bobo$5b8o$2b2o2bob2obo2b2o$7bo2bo$3o2b2ob2ob2o2b3o$bo3bo2b2o2bo3bo$5b2o4b2o$2bo5b2o5bo$3b2o3b2o3b2o$8b2o$4b2obo2bob2o$4b10o$4b3o4b3o$5bo6bo$5bob4obo2$3bob3o2b3obo$4b3o4b3o$3b2o2bo2bo2b2o$bobo10bobo$b4obob2obob4o$2b3o2b4o2b3o$2b3o8b3o$3b3o6b3o$bobo3b4o3bobo$5bob4obo$2bob3o4b3obo$2b2o2b2o2b2o2b2o$bobobo6bobobo$2b2obo6bob2o$bob2o8b2obo$3bo3bo2bo3bo$4bob6obo2$4b10o$4b3o4b3o$2b4o2b2o2b4o$2b3ob2o2b2ob3o$bo4bob2obo4bo$2b3o8b3o$2b4o6b4o$bobo2bob2obo2bobo$b6o4b6o$2b5ob2ob5o$2b4o6b4o$2bo3bo4bo3bo$4bo8bo$5bo2b2o2bo$3bob8obo$3bob8obo$2bob10obo$ob14obo$ob14obo$2b14o$2b14o$b16o$2b14o$b16o$2b14o$b16o$2b14o$b16o$2b14o$b16o$2b14o$b2obobobobobobobo$o$2b2o!

2c/7 wickstretcher:
x = 14, y = 46, rule = B3678/S1356786b2o$5bo2bo$5b4o$3bo2b2o2bo$3bob4obo$3bo6bo$5bo2bo$b12o$2b10o$2b10o$2b10o$b12o$3b8o$4b6o$3b8o$5b4o$5b4o$4b6o$5b4o$6b2o$5bo2bo$6b2o2$4bob2obo$5b4o$3b8o$5b4o$4b6o$3b8o$3b8o$3b8o$3b8o$b12o$b12o$2b10o$b12o$2b10o$b12o$2b10o$b12o$2b10o$b12o$2b10o$bobobobobob2o$13bo$10b2o!

Another smaller one:
x = 11, y = 17, rule = B3678/S1356785bo2$4b3o$2b7o$3b5o$2b7o$2b7o$11o$11o$b9o$11o$b9o$11o$b9o$11o$b9o$obobobobobo! There was even this nice (2,1)c/6 partial: x = 9, y = 34, rule = B3678/S1356786bo$6b2o$5bobo$2b7o$3bob2o$2b4o$bobobo$3o2$2bo$b2o2$2b2o$bo$bo2bo$3b3o$3b2o$3b4o$3obobo2$3b2ob2o$2bo3bo$bobobo$b3obo$4o3bo$6o$2b6o$2b4ob2o$3b2o3bo$ob2ob3o$3bo$ob2o4bo$3o4b2o$b2o2b3o! All ships so far: x = 268, y = 72, rule = B3678/S1356782bo3bo3bo3bo6b3o2b3o10bo8bo14bo5bo13b2o14bo5bo11bo15bo16bo23bo33b2o25bo18bo9b2o$b3ob3ob3ob3o5b3o2b3o9bo10bo12b2obobob2o11b4o12bobo3bobo8b5o13bo14b5o21b2o31bob2o25b4o13b3o8b2obo$2b13o7b2o2b2o9bobobo4bobobo13bobobo11bob4obo26bob3obo26bob3obo19bobobo27b4o26b5o12b4o8b4o$bo2b3o3b3o2bo5b8o11bo6bo16b5o10b2o2b2o2b2o8bobobobobobo7b5o26b9o19bo2bo29bo25b7o14b2o8b4o$2bo11bo8b4o10bob2ob4ob2obo14b3o10bobob4obobo7bob7obo5bob5obo24b9o24bo20bo3b4o24b8o14b2o8bobo$6bo3bo12b4o10bo3bo4bo3bo15bo12bo8bo11bo3bo11b3o11b7o10b7o22bo2bo18b3obobobo26b6obo13bo$22bo4bo9b2ob3o2b3ob2o14b3o14b4o12b2o5b2o9b3o10bob5obo9b7o22bob2o24bo27b6o17bo$23bob2o10b3obob2obob3o14b3o11b2o6b2o28bo13b5o12b5o22b3o19b4o2b2o27b6o$38bo4b2o4bo14b5o13b4o27bo2b3o2bo9b5o12b5o21bo2bo18b3o4bobo25b4obo$40bobo2bobo17b3o13bo4bo25b3o5b3o7bob3obo36bob3o21bob2o2bo26bo$40bo6bo14b2o5b2o7b2o2b4o2b2o24bo5bo12bo15bobo20bob3o18bo3bobobobo$37b3o8b3o26bob2o2b2o2b2obo40b2ob2o13b3o22b3o19bo4b2o$37b2o4b2o4b2o11bo7bo11b4o43bob2ob2obo36b3o20b2obo3bo$37bobob2o2b2obobo27bo4b2o4bo40b2o3b2o11bobobo22bo18b2o2bo3bo$36b2o12b2o31b2o63b5o19b4o18bo6b2o$36b2o2b3o2b3o2b2o29b6o60b7o19bo20b6o$37bo2b2ob2ob2o2bo30b6o61b5o19bo2b3o18bo$41bo4bo36b2o64b3o20bob2o2b2o$38b3o6b3o29b3ob2ob3o56bobo5bobo17b5o$37bo2bo6bo2bo27b4ob2ob4o55b5ob5o17b6o$38bo10bo30bob4obo58b2obobob2o17b8o$40bobo2bobo33bob2obo63bo23b7o$38b3o6b3o33b2o91b4o$37b4o6b4o123bo2bobo$37bo12bo30bo4bo86b2obo$38bo10bo30bo2b2o2bo87bo3bo$37b5o4b5o27bobo6bobo83b2o4bo$40b2o4b2o32b3o2b3o89b2o$37bo2b3o2b3o2bo31bo2bo92bo$38bo10bo30b2o4b2o87b2o$38bobo6bobo126bob2o$40b2o4b2o126bob5o$38b2o8b2o124bob4o$40b3o2b3o125bo2b3obo$38bo2b2o2b2o2bo124b4obo$37bob2o6b2obo123b4o$37bobo8bobo122b3o$37b2o10b2o121b3o$37bo12bo121b4o$173b2o$37bo12bo121bobo$36b2obo8bob2o122b2o$38b2o8b2o125bo$35bob3o8b3obo122bo$35bobo12bobo122bo$37b3o8b3o125bobo$35bo2bo10bo2bo123bo2bo$35b2o2bo8bo2b2o123b2ob2o$36bo14bo$35b5o8b5o$36b5o2b2o2b5o$35b7ob2ob7o$36b7o2b7o$35b7o4b7o$36b6o4b6o$35b6o6b6o$36b4o3b2o3b4o$35b5o8b5o$36b5o2b2o2b5o$36b3o4b2o4b3o$35bo3bobob2obobo3bo$37bo2bob4obo2bo$37b2obob4obob2o$37b2obob4obob2o$39b2ob4ob2o$36bo5b4o5bo$36b2o3bo4bo3b2o$37bo2bobo2bobo2bo$38b4o4b4o$38bobo6bobo$39bo8bo! I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules. Things to work on: - Find a (7,1)c/8 ship in a Non-totalistic rule - Finish a rule with ships with period >= f_e_0(n) (in progress) AforAmpere Posts: 1047 Joined: July 1st, 2016, 3:58 pm ### Re: Miscellaneous Discoveries in Other Cellular Automata Prob. known x = 20, y = 24, rule = B3678/S1356789bo$10bobo$9b2obo$10bo6bobo$8bobo4b4o$8bo$10bo2b3ob2o$9b5o$7b7o$7b7obo$5b9obo$5b9o$3b12o$3b11o$b14o$b13o$14o$b11o$11o$b10o$b8o$9o$b2o3bo$2b2o!

EDIT:
Finish a rule with ships with period >= f_e_0(n) (in progress)

I am very interested, being a googology person.
Are you gonna make ships that use the Goodstein sequence or hydras or something else?
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 2327
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Miscellaneous Discoveries in Other Cellular Automata

Moosey wrote:I see your signature, aforampere
Finish a rule with ships with period >= f_e_0(n) (in progress)

I am very interested, being a googology person.
Are you gonna make ships that use the Goodstein sequence or hydras or something else?

Basically using hydras, specifically Primitive Sequence System, if I can get it to work properly. I'm working on it, but it's tedious, because I'm basically making a Turing Machine. At some point, I think it would be possible to extend it to much greater ordinals, but making this rule is annoying enough. I know it's possible, but I really wouldn't mind getting corollary-sniped at this point. It's probably going to actually end up being f_(w^w^w^w^w^w^w)(n), but oh well.
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)
AforAmpere

Posts: 1047
Joined: July 1st, 2016, 3:58 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

toroidalet wrote:from spiral-growth.rle:
8 cells
x = 6, y = 4, rule = B34568/S156782bobo$2bo2bo$o2bo$bobo! 5*4 bounding box: x = 5, y = 4, rule = B34568/S156782bobo$obobo$2o$b2o!

Nice! Much less complex grotwh than mine, too.

Some interesting oscillators in "Castles"

-highest natural-occuring period: 51

x = 20, y = 8, rule = B3678/S1356789bo$9b5o$8b7obo$5b13o$2bo2b13o$20o$20o$2bo2bobobobobobobo! -highest no-stator period: 42 x = 6, y = 6, rule = B3678/S1356782b2o$2bobo$bo3bo$obob2o$3bo$2bo!

-highest prime period: 37

x = 11, y = 10, rule = B3678/S1356785bo$2bob3obo$3b5o$2b7o$11o$b9o$b9o$11o$b9o$obobobobobo! -highest period of "inner" oscillator: 19 x = 16, y = 16, rule = B3678/S1356786bo2bo$4b8o$4b8o$3b4o3b3o$b4o5b5o$b3o8b3o$3o10b3o$b2o10b2o$b2o10b2o$3o10b3o$b3o8b3o$b4o5b5o$3b4o3b3o$4b8o$4b8o$6bo2bo!

I'm currently working on turning the spacefiller reaction to an extensible-period oscillator, the smallest one is probably this (period=99):

x = 24, y = 24, rule = B3678/S1356789bo3bo4bo$6b13ob2o$3bob15o2bo$2b19obo$2b3obobobobobo2b5o$4o14b6o$3bo13bob4o$2bo17b3o$20b3o$19b4o$20b4o$19b4o$20b3o$19b4o$20b4o$19b4o$20b3o$19b4o$20b2o$19b2o$17b5o$16bob3o$18bo$18bo! melwin22 Posts: 27 Joined: September 9th, 2017, 5:40 am ### Re: Miscellaneous Discoveries in Other Cellular Automata Almost spaceship evolves into almost shuttle evolves into qb with 2 blocks then dies x = 4, y = 5, rule = B3/S236cb2o$o2bo$2obo$o2bo$b2o![[ T 9 PAUSE 1 ]][[ T 15 PAUSE 1 ]][[ T 28 PAUSE 1 ]][[ T 44 PAUSE 1 ]] EDIT p52 x = 28, y = 29, rule = B3/S236c12b2o$12b2o2$b2o9b4o9b2o$o2bo7bo4bo2b3o2bo2bo$3o9b4o2b5o2b3o$3b9o4b9o$2bo2b5o2bo2bo9bo$2b2o2b3o2b2o2b2o7b2o5$12b2o$11b3o$12b2o5$2b2o2b3o2b2o2b2o7b2o$2bo2b5o2bo2bo9bo$3b9o4b9o$3o9b4o2b5o2b3o$o2bo7bo4bo2b3o2bo2bo$b2o9b4o9b2o2$12b2o$12b2o! I like making color palettes for rules Gustone Posts: 421 Joined: March 6th, 2019, 2:26 am ### Re: Miscellaneous Discoveries in Other Cellular Automata Gustone wrote:Almost spaceship evolves into almost shuttle evolves into qb with 2 blocks then dies rle EDIT p52 rle Stabilized by eaters at p26: x = 24, y = 8, rule = B3/S236c2o20b2o$bo20bo$bobo16bobo$2b2o8bo2bo4b2o$12bo3bo$11bo4bo$12bo3bo$12bo2bo!
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: 1877
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Miscellaneous Discoveries in Other Cellular Automata

A for awesome wrote:Stabilized by eaters at p26:
x = 24, y = 8, rule = B3/S236c2o20b2o$bo20bo$bobo16bobo$2b2o8bo2bo4b2o$12bo3bo$11bo4bo$12bo3bo$12bo2bo! Extensible p26: x = 185, y = 26, rule = B3/S236c180bo$o178bobo$3o176bobo$3bo174b2ob3o$2b2o180bo$178b2ob3o$179bobo6$4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o$4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o3$4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o$4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o4b3o$5bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo6bo$178b2obo$178b2ob3o$2b2o180bo$3bo174b2ob3o$3o176bobo$o178bobo$180bo! p52 toad flipper: x = 56, y = 50, rule = B3/S236c16bo$15bobo17bo$15bobo15b3o$13b3ob2o13bo$12bo19b2o$13b3ob2o$15bobobo4$2o50b2o$bo50bo$bobo19bo6bo19bobo$2b2o4bo2bo9b2ob2o2b2ob2o9bo2bo4b2o$7bo3bo30bo3bo$7bo4bo28bo4bo$7bo3bo9bo3bo2bo3bo9bo3bo$8bo2bo10b3o4b3o10bo2bo6$27bo$26bo2bo$26bo2bo$28bo6$10bo2bo10b3o4b3o10bo2bo$9bo3bo9bo3bo2bo3bo9bo3bo$9bo4bo28bo4bo$9bo3bo30bo3bo$4b2o4bo2bo9b2ob2o2b2ob2o9bo2bo4b2o$3bobo19bo6bo19bobo$3bo50bo$2b2o50b2o4$36bobobo$37b2ob3o$22b2o19bo$23bo13b2ob3o$20b3o15bobo$20bo17bobo$39bo!
x = 5, y = 5, rule = B3-y/S234w2b3o$bo$o3bo$o2bo$obo!

FWKnightship

Posts: 64
Joined: June 23rd, 2019, 3:10 am
Location: Behind you

### Re: Miscellaneous Discoveries in Other Cellular Automata

C/9 wick:
x = 86, y = 7, rule = B3/S236c49bo$2bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo$b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o$3o7bo3b2o3bo3b2o2bobob2o4b2obo6bo9bo3bob2o5bo2b3ob2o4b3o$b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o$2bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo$49bo!
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: 1877
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Miscellaneous Discoveries in Other Cellular Automata

A for awesome wrote:C/9 wick:
x = 86, y = 7, rule = B3/S236c49bo$2bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo$b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o$3o7bo3b2o3bo3b2o2bobob2o4b2obo6bo9bo3bob2o5bo2b3ob2o4b3o$b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o$2bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo$49bo!

I like making color palettes for rules

Gustone

Posts: 421
Joined: March 6th, 2019, 2:26 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

Gustone wrote:
A for awesome wrote:C/9 wick:
x = 86, y = 7, rule = B3/S236c49bo$2bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo$b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o$3o7bo3b2o3bo3b2o2bobob2o4b2obo6bo9bo3bob2o5bo2b3ob2o4b3o$b2o8b6o4b3o3bo3b2o4bo2bo6bo5bo3b2o2bo4bo2bo4bo2bo6b2o$2bo8b3o7b2o6b2o7b2o8bo3bo5bobo6b2o6b2o8bo$49bo!

I tried for a bit and then stopped — wicks like this one make it very hard to find actual ships with ntzfind, since the search essentially gets stuck in a loop for a while as it tries to run through every possible combination of wick length and backend. I haven't tried any other speeds than c/9 yet, though.
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: 1877
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

### Re: Miscellaneous Discoveries in Other Cellular Automata

p13:
x = 62, y = 26, rule = B3/S236c40bo5b2o2b2o5bo$39bo6b2o2b2o6bo$17b2o20bo6b2o2b2o6bo$17bo19b2o20b2o$36bo24bo$o$o$o$4bo13bo$3bobo11bobo$3bobo11bobo16b3o20b3o$4bo13bo17b3o20b3o$4bo13bo$3bobo11bobo$3bobo11bobo16b3o20b3o$4bo13bo17b3o20b3o$o$o$o2$17bo$17b2o17bo24bo$37b2o20b2o$39bo6b2o2b2o6bo$39bo6b2o2b2o6bo$40bo5b2o2b2o5bo!

The p13 is extensible:
x = 182, y = 7, rule = B3-y/S236c4b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o$3bo2b2o2bo6bo2b2o2bo6bo2b2o2bo6bo2b2o2bo6bo2b2o2bo6bo2b2o2bo6bo2b2o2bo6bo2b2o2bo6bo2b2o2bo6bo2b2o2bo6bo2b2o2bo6bo2b2o2bo6bo2b2o2bo$4b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o8b2o2b2o3$3o176b3o! Smaller p52 toad flipper: x = 16, y = 16, rule = B3/S236c5bo$5bo$5bo4bo$bo8bo$obo7bo$obo11bo$bo6bo4bobo$bo5b2o4bobo$obo4b2o5bo$obo4bo6bo$bo11bobo$5bo7bobo$5bo8bo$5bo4bo$10bo$10bo!
x = 5, y = 5, rule = B3-y/S234w2b3o$bo$o3bo$o2bo$obo!

FWKnightship

Posts: 64
Joined: June 23rd, 2019, 3:10 am
Location: Behind you

### Re: Miscellaneous Discoveries in Other Cellular Automata

Three spaceships in a neat rule. The first one has viable sparks that can construct puffers; the second one generally does not.
x = 10, y = 30, rule = B2-an3ai4cr/S08bo2$9bo2$8bo9$8bo2$bo7bo$3o4bobo$bo7bo2$8bo7$8bo$5b2o2bo2$9bo!

EDIT: Spoke too soon:
x = 11, y = 13, rule = B2-an3ai4cr/S04bo2$5bo2$4bo2$8bo$8b2o$obo$7bo2bo$obo$8b2o$8bo! L = 1556, MCPS = 3, and a would-be gun predecessor had it not been for four pesky dots: x = 3, y = 2, rule = B2-an3ai4cr/S0bo$obo!

EDIT: Somehow this never popped out naturally until now. Weird.
x = 2, y = 6, rule = B2-an3ai4cr/S0o$2o$bo$bo2$o!
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i4b3o$6bo$o3b3o$2o$bo!

Hdjensofjfnen

Posts: 1295
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Miscellaneous Discoveries in Other Cellular Automata

This rule would have been a lot of fun to search if it wasn't explosive
x = 3, y = 4, rule = B34ctwy5c7c8/S23-a4iyz5q6aco$2o$b2o$2o! This one is probably not searchable but it isn't explosive: x = 3, y = 4, rule = B34t/S23-a4i6co$2o$b2o$2o!

(Usually)
x = 33, y = 4, rule = B34t/S23-a4i6c2bo27bo$b2o27b2o$2o29b2o$b2o27b2o! This one may be fun: x = 3, y = 4, rule = B34ty/S23-a4i6c2bo$b2o$2o$b2o!
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

Moosey

Posts: 2327
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Miscellaneous Discoveries in Other Cellular Automata

Component in a very isolated rule:
x = 10, y = 5, rule = B3-cekr4jw/S2-n34cky6abo$obo3bo$bo3b3o$5bobo$9bo!
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i4b3o$6bo$o3b3o$2o$bo!

Hdjensofjfnen

Posts: 1295
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

(4,2)c/21
x = 3, y = 4, rule = B3-ery4ety/S23-aq4ai6cbo$b2o$obo$o! Besides having a very common knightship, the rule isn't very interesting. I am a prolific creator of many rather pathetic googological functions My CA rules can be found here Also, the tree game Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?" Moosey Posts: 2327 Joined: January 27th, 2019, 5:54 pm Location: A house, or perhaps the OCA board. ### Re: Miscellaneous Discoveries in Other Cellular Automata After 35 minutes of rulegolfing, a 4c/36 mod 18: x = 4, y = 3, rule = B34iryz5kqry6c7c/S2-i3ceiqr4jkwz5-ij6kbo$3o$ob2o! EDIT: Rule also has mutant glider: x = 3, y = 4, rule = B34iryz5kqry6c7c/S2-i3ceiqr4jkwz5-ij6kbo$2o$2bo$bo!

EDIT: p2, p4:
x = 11, y = 3, rule = B34iryz5kqry6c7c/S2-i3ceiqr4jkwz5-ij6kb2o5bobo$2o5b4o$obo4bobo!
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i4b3o$6bo$o3b3o$2o$bo!

Hdjensofjfnen

Posts: 1295
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Miscellaneous Discoveries in Other Cellular Automata

Moosey wrote:This one is probably not searchable but it isn't explosive:
x = 3, y = 4, rule = B34t/S23-a4i6co$2o$b2o$2o! (Usually) x = 33, y = 4, rule = B34t/S23-a4i6c2bo27bo$b2o27b2o$2o29b2o$b2o27b2o!

Stable 12c/24 duplicator,repeat time 174:
x = 47, y = 312, rule = B34t/S23-a4i6c42bo$40b3o$39bo$39b2o20$36b3o$36bo2bo$36bob2o$2b2o34bobo$3bo$3o38bo$o33bo4b2o$34bo$34bo$34b2o3$30bo5b3o$30bo5bobo$31bo4bobo4$36bo$34b2o$34bo3bo$35b3o66$36b3o$35bo2bo$35bo3bo$34b2obobo$34b2ob2o$35b3o4$33b2o$32b2o2b3o$32bo2bob2o$36bobo$33b2o2bo$35bobo$35b3o4$37bo6bo$43bo$46bo$43bo$40bo3bo$39b2o63$36b3o$36bo2bo$36bo2$32b3o5bo$32bo6bo$33b2o$33bo2b2o$34bo2bo$35b3o6$39bo$38b4o$37b2o3bo$36b2o4b2o$37bo2b3o$37bo2bo$38b3o$39bo$35b3o$38bo$38bo$34bo$35bob2o$36b2o59$36b3o$35bo2bo$35bo2bo$35b2o2$37bo$36bo$37bo5$34bo$33bo$37b3o$39b2o$34bo3b2o5$36bo$33b2obobo$33bo$38b2o$34bo3b2o2$35b3o!
x = 5, y = 5, rule = B3-y/S234w2b3o$bo$o3bo$o2bo$obo!

FWKnightship

Posts: 64
Joined: June 23rd, 2019, 3:10 am
Location: Behind you

### Re: Miscellaneous Discoveries in Other Cellular Automata

Some width 2 ships in b0 rules
c/4o
x = 11, y = 2, rule = B01c2aci3i4an5aejnr6cei7c8/S01c2ai3ein4nrt5ejr6i3ob2o2b2o$3b2o3b3o! c/6o x = 8, y = 2, rule = B012aci3eij4n5aer6a7c/S02a3eir4nt5ejnr6ei7e3b5o$o2b2o!

2c/6o
x = 11, y = 2, rule = B01c2aci3ain4r5e6ack7/S1e2ek3j4nrt5jr6eik5b4o$4ob2ob3o! c/8o x = 8, y = 2, rule = B012ack3i4ar5jnr6ak/S1e2aei3r4nr5ej6ei7eb4ob2o$4obo!

3c/8o
x = 9, y = 2, rule = B01c2ace3aei4n5aeinr6aci7c8/S012i3aeinr4ain5jr6eik3o2b4o$7o! c/10o which involves a block x = 10, y = 2, rule = B012ack3an4n5aeij7e/S1e2eik3r4ainr5ejnr6k7e2o2bobob2o$2o2b2obo!

4c/10o
x = 8, y = 2, rule = B012ace3ijn4a5ijn6i7e/S1e2ci3ejr4an5jnr6ei7e3ob2obo$3b3o! 3c/10o x = 9, y = 2, rule = B012aci3ein4ait5ejnr6cek7/S1e2ae3in4r5ejn6eik7e2bo3bo$obobo3bo!

2c/10o
x = 8, y = 2, rule = B01c2ack3aeijr4nt5aer6ack7c8/S2aci3enr4ant5nr6eik2o3b3o$2b5o! --- I ran a scribble in the 2c/6o rule and these ships showed up somehow c/2o (This one seems to be somewhat common) x = 6, y = 3, rule = B01c2aci3ain4r5e6ack7/S1e2ek3j4nrt5jr6eik6o$ob3o$3o! 9c/18o x = 14, y = 3, rule = B01c2aci3ain4r5e6ack7/S1e2ek3j4nrt5jr6eiko5bob3o$obo7b3o$o5bob6o! 2c/12o x = 4, y = 5, rule = B01c2aci3ain4r5e6ack7/S1e2ek3j4nrt5jr6eik2o$o2bo$o2bo$o2bo$2o! If you're the person that uploaded to Sakagolue illegally, please PM me. x = 17, y = 10, rule = B3/S23b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5bo2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!

(Check gen 2)

Saka

Posts: 3108
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

### Re: Miscellaneous Discoveries in Other Cellular Automata

A good laugh:
x = 10, y = 10, rule = b34cejws23-c4qwHistory.2A$2A$A5$7.D$8.2D$8.2D! EDIT: p96 in a related rule: x = 6, y = 6, rule = B34cejwy/S23-c4qw3b2o$2bo2bo$b2obo$o$obo$bo!

EDIT: p18!
x = 4, y = 4, rule = B34cejwy/S23-c4qwb3o$o2bo$obo$2o! EDIT: Horrid p22 partial: x = 8, y = 8, rule = b34cejwys23-c4qwHistory3.4D$3.5D$7.D$6.D$4A$5A$4.A$3.A![[ STOP 22 ]]
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i4b3o$6bo$o3b3o$2o$bo!

Hdjensofjfnen

Posts: 1295
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

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