## Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
Macbi
Posts: 714
Joined: March 29th, 2009, 4:58 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

AforAmpere wrote:In one of Moosey's rules are tons of really long lasting methuselahs, and this one lasts 27,871,939,396,739,043,039,106 gens:

Code: Select all

x = 54, y = 46, rule = B2a3jry4iy5y/S
52b2o$52b2o41$b2obo$o3bo$o$b2o!  It actually lasts 28,336,471,720,019,104,108,483 gens, until the vertical line boops the bit at the bottom. Moosey Posts: 3056 Joined: January 27th, 2019, 5:54 pm Location: A house, or perhaps the OCA board. Or [click to not expand] Contact: ### Re: Miscellaneous Discoveries in Other Cellular Automata It's not my rule. Unrelated: Code: Select all x = 39, y = 18, rule = B2aei/S 38bo$37bo$32bo4bo$21bo9bo6bo$20bo10bo$bo18bo11bobo$o20bo5bo$o21bo$bobo 3bo3bo3bo3bo3bo$4bo3bo3bo3bo3bo3bobobo$5bo3bo3bo3bo$6bo3bo3bo3bo$7bo3b o3bo$8bo3bo3bobo$9bo3bo$10bo3bo$11bo$12bobo!

In the methuserule:

Code: Select all

x = 222, y = 212, rule = B2a3jry4iy5y/S
220b2o$220b2o207$2b2o$4bo$o3bo$ob2o!  Reminds of a caber tosser, but backwards (a la the RCT) Related rule: Code: Select all x = 17, y = 3, rule = B2a3ijry4iy5ey/S 16bo$2o14bo$2o14bo!  Similar object in same rule, probably doesn't stabilize (but if it does it takes a long time) Code: Select all x = 18, y = 5, rule = B2a3ijry4iy5ey/S b2o14bo$o2bo13bo$o2bo13bo2$2b2o!

Gun:

Code: Select all

x = 14, y = 14, rule = B2a3ijry4iy5ey/S
obobobobo$o7bo$4bobobo$o$11b3o$o$11bobo$obo$13bo$3o$13bo$5bobobo$5bo7b
o$5bobobobobo!  Related rule: Gun: Code: Select all x = 4, y = 5, rule = B2a3ijry4iy5ey/S3i4ent5e obo$obo$2bo$b3o$2bo!  Sorta-loggrow in nice related rule. I like this rule. Code: Select all x = 6, y = 4, rule = B2a3ijry4iy5ey/S3i4ent5er6i 3b3o$bo$3o$bo!

~1B methuselah:

Code: Select all

x = 33, y = 11, rule = B2a3ijry4iy5ey/S3i4ent5er6i
31b2o$31b2o6$b2obo$o3bo$o$b2o!  Effectively a sqrtgun: Code: Select all x = 6, y = 7, rule = B2a3ijry4iy5ey/S3i4ent5er6i 4b2o$4b2o3$bo$3o$bo!  I believe this is tetrationally slow growth? It features an unusual counter: Code: Select all x = 8, y = 14, rule = B2a3ijry4iy5ey/S3i4ent5er6i obo$o5bo$o4b3o$o5bo$o5bo$o4b3o$o5bo$o5bo$o4b3o$o5bo$o5bo$o4b3o$o5bo$ob
o!


If this stabilizes, it beats anything I've posted so far:

Code: Select all

x = 22, y = 22, rule = B2a3ijry4iy5ey/S3i4ent5er6i
obo$o$o5bo$o4b3o$o5bo$o4b3o$o5bo$o5bo$o4b3o$o5bo$o4b3o$o5bo$o$obo5$18b
2obo$17bo3bo$17bo$18b2o!  It works using a similar method to my other tetrationally long-lived possible methuselahs: It produces an enormous counter which only lengthens after counting beyond its limits--when it lengthens lit becomes orders of magnitude longer. EDIT: random stuff source: Code: Select all x = 10, y = 14, rule = B2a3ijry4iy5ey/S3i4ent5er6i 4b3o2$4b3o3$o$o3b2o3bo$o3b2o3bo$9bo3$3b3o2$3b3o!

EDIT: lifespan >100 duodecillion:

Code: Select all

x = 106, y = 16, rule = B2a3ijry4iy5ey/S3i4ent5er6i
71b2o$71b2o4$78bo24bobo$77b3o23bobo$78bo24bobo3$97bo$97bo$97bo$bo$3o 89b3o$bo!

Challenge: make a tetrationally long-lived methuselah that definitely stabilizes.

Code: Select all

x = 6, y = 21, rule = B2a3ijry4ity5ey/S3i4ent5er6i
4b2o$4b2o14$3o4$4b2o$4b2o!

Jagged lines thing:

Code: Select all

x = 3, y = 28, rule = B2a3ijry4ity5ey/S3i4ent5er6i
3o21$3o2$3o2$3o2$3o!

P32 rep:

Code: Select all

x = 3, y = 45, rule = B2a3ijry4ity5ey/S3i4ent5er6i
3o2$3o2$3o2$3o4$3o2$obo2$3o4$3o2$3o4$3o2$3o4$3o2$obo2$3o4$3o2$3o2$3o2$3o!  Ships of arbitrarily high period: Code: Select all x = 43, y = 21, rule = B2a3ijry4ity5ey/S3i4ent5er6i 3o7b3o7b3o7b3o7b3o2$bo8b3o7b3o7b3o7b3o2$11bo2$20b3o2$21bo2$30b3o2$31bo 6$40b3o2$41bo!  Also proof that for any n > 1 the smallest ship of 2^nc/2^n is at most 10 cells. EDIT: here's our tetrationally long-lived methuselah which definitely stabilizes: Code: Select all x = 21, y = 53, rule = B2a3ijry4ity5ey/S3i4ent5er6i 10b2o$10b2o7$7b3o2b3o2$7b3o2b3o2$bo5b3o2b3o4bo$3o15b3o$bo5b3o2b3o4bo4$
7b3o2b3o2$7bobo2bobo2$7b3o2b3o4$7b3o2b3o2$7b3o2b3o4$7b3o2b3o2$7b3o2b3o
4$7b3o2b3o2$7bobo2bobo2$7b3o2b3o4$7b3o2b3o2$7b3o2b3o2$7b3o2b3o2$7b3o2b 3o!  I believe that the below object beats those really long-lived methuselahs toroidalet made. Code: Select all x = 21, y = 53, rule = B2a3ijry4ity5ey/S3i4ent5er6i 10b2o$10b2o7$7b3o2b3o2$7b3o2b3o2$7b3o2b3o$bo17bo$3o4b3o2b3o3b3o$bo17bo
3$7b3o2b3o2$7bobo2bobo2$7b3o2b3o4$7b3o2b3o2$7b3o2b3o4$7b3o2b3o2$7b3o2b 3o4$7b3o2b3o2$7bobo2bobo2$7b3o2b3o4$7b3o2b3o2$7b3o2b3o2$7b3o2b3o2$7b3o
2b3o!

The first object lasts at least several million gens; thus the second lasts roughly 2^(at least a million) gens
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?"

LaundryPizza03
Posts: 532
Joined: December 15th, 2017, 12:05 am
Location: Unidentified location "https://en.wikipedia.org/wiki/Texas"

### Re: Miscellaneous Discoveries in Other Cellular Automata

Here is a failed quadratic replicator that is also a predecessor to an extremely sparky p150 oscillator:

Code: Select all

x = 3, y = 3, rule = B3-qy4e5y6i/S2-i3-ac4iq6i
bo$3o$obo!

I have not yet successfully found a glider gun, but here is the closest I got:

Code: Select all

x = 54, y = 38, rule = B3-qy4e5y6i/S2-i3-ac4iq6i
2o$b2o$2o49b3o$51bo$51b3o29$26bo$25b2o$24b2o$25b2o$26bo!  (The top two replicators beome a p300 oscillator containing a temporary p13.) There is also this reaction where an incoming glider shifts an oscillator left by 18 cells, up by 2 cells, and backward by 48 generations: Code: Select all x = 49, y = 53, rule = B3-qy4e5y6i/S2-i3-ac4iq6i bo$2bo$3o32$8b2o35b2o$6bo2b2o33b2o2bo$7bob3o31b3obo$8bobo12bo7bo12bobo$7b3o14bo5bo14b3o$25b2ob2o$26bobo$20b3o3bobo3b3o$20bo4bo3bo4bo$21bo11b o$20bo4bo3bo4bo$20b3o3bobo3b3o$26bobo$25b2ob2o$7b3o14bo5bo14b3o$8bobo 12bo7bo12bobo$7bob3o31b3obo$6bo2b2o33b2o2bo$8b2o35b2o!

EDIT: This rule (which I found first) has a p1116 oscillator; and 18c/96d spaceship; an 8c/64o, pseudo-p32 glider rake; and a related 8c/64o spaceship. The core of the p1116 reflects itself diagonally every 279 generations, but none of the moving objects are glide-symmetric.

Code: Select all

x = 160, y = 30, rule = B3-qy5y6i/S2-i3-a4iq6i
4bo66b2o38bo44bo$4b2o64bobo37bobo43b2o$5b2o63b2o39bobo43b2o$112bobo$2o
111bo38b2o$b2o15b2o133b2o$2bo15bobo133bo$18bo$17b3o55b3o50bo$8b3o66bo 49bobo$9bo63bo3bo50bo$7bobo15bo47bo79b3o$8b2o15b2o46b3o77bo2bo$26b2o 95b2o3b2o21b2o$122bobo3bobo20bo6bo$21b2o98b2o7b2o19bo7bo$22b2o98bobo3b
obo21bo6bo$23bo52b3o44b2o3b2o28b2o$75bo3bo74bo2bo$75b2o78b3o$77b2o2bo$79bo2bo$79bo2bo$80bobo67b2o$80b2o68bobo$151b2o2$74bob2o$74bo2bo$74b3o!

They are all based on the same failed replicator. Removing S6i makes it an actual replicator of class R, but preserves both 8c/64o objects.

Code: Select all

x = 4, y = 3, rule = B3-q4z5y/S234k5j
2b2o$b2o$2o!

LaundryPizza03 at Wikipedia

GUYTU6J
Posts: 902
Joined: August 5th, 2016, 10:27 am
Location: 中国

### Re: Miscellaneous Discoveries in Other Cellular Automata

Bumping the B38/S23 thread is unnecessary. I know why the diagonal yl589 can arise from C1 soups.
Take this soup for instance

Code: Select all

x = 16, y = 16, rule = B38/S23
obobobo2b7o$obo2bo6b2o$o2b3obob3ob2o$2o2bobobo3b3o$b3ob3obo2b2o$2obo2b 3obobob2o$o4b3ob2o3bo$2b2o2bobobob2o$2b2o4bo2b5o$2bo6b2obob2o$6bo2b2o
2bobo$b3obo6b2obo$o6b2o2bo2bo$ob3obo3b3o$bo6b2obobobo$b7obobob2o!  First have a LoM crash into a pond: Code: Select all x = 5, y = 9, rule = B38/S23 b2o$o2bo$o2bo$b2o2$3b2o$2bobo$2bobo$2b2o!

28 gens later this D2_x symmetric decaplet arises:

Code: Select all

x = 6, y = 6, rule = B38/S23
4b2o$5bo$5bo$4bo$o2bo$3o!  46 gens later a honeyfarm crashs into the back: Code: Select all x = 22, y = 22, rule = B38/S23 11bo2bo$11bo$3b3o5bo3bo$2bo3bo5bo3b2o$bo5bo5b2o3bo$2bo3bo6bo5bo$3b3o7b o6bo$14bo5b2o$17bob2o$14b2o2b2o$14bob2o$3o14bo$3bo$4b3o$o3bo2bob2o$2bo
6bo$3bo6bo$3bo4bob2o$4bo4bo$5bo2b2o$6b3o$7bo!

Thus the puffer comes into being.
Sorry but I prefer to contribute to cellular automata anonymously, so I made up a random string for my username.
-GUYTU6J

testitemqlstudop
Posts: 1323
Joined: July 21st, 2016, 11:45 am
Location: in catagolue
Contact:

### Re: Miscellaneous Discoveries in Other Cellular Automata

2-cell R to H:

Code: Select all

x = 8, y = 23, rule = LifeHistory
.3D$2.D$3D10$6.F8$.A$3A4.F$2.A!

2-cell R to B:

Code: Select all

x = 7, y = 15, rule = LifeHistory
2.D$.3D$D2.2D$6.F9$.A4.F$3A$2.A!

Dirty B track:

Code: Select all

x = 89, y = 80, rule = LifeHistory
21.F2$F17$40.F2$19.F17$59.F2$38.F17$78.F2$57.F8$78.D$77.3D$76.2D.D2$80.D$80.D4$88.C$87.2C$76.F9.2C$87.2C!


FWKnightship
Posts: 147
Joined: June 23rd, 2019, 3:10 am
Location: B3aijn5nq/S2ae3aijr4ir5y - B2ikn3-q4-akr56-ac78/S02-ck3-n4-ajkw5678

### Re: Miscellaneous Discoveries in Other Cellular Automata

LaundryPizza03 wrote:I have not yet successfully found a glider gun, but here is the closest I got:

Code: Select all

x = 54, y = 38, rule = B3-qy4e5y6i/S2-i3-ac4iq6i
2o$b2o$2o49b3o$51bo$51b3o29$26bo$25b2o$24b2o$25b2o$26bo!  p150 glider gun: Code: Select all x = 44, y = 11, rule = B3-qy4e5y6i/S2-i3-ac4iq6i 2ob2o36bobo$o3bo36b3o$bobo38bo$2bo2$2bo$bobo$o3bo$2ob2o37bo$41b3o$41bo
bo!

Code: Select all

x = 45, y = 5, rule = B3aijn4w5nq/S2ae3aijr4irz5y
5o3bobobo5bob3obo4bo3b2obo3bob2o$o3bo3bobobo7bobobo4bo2bo3bo5bobo$3obo
bobob2o2b3obob3ob3ob3o2bo2b2o2bob3o$o3bobobobobobobobo3bobobo2bo4bobob obobo$o3b5obobobobobob2o2bobo2b2ob2o2bobobobo!

Gustone
Posts: 599
Joined: March 6th, 2019, 2:26 am

### Re: Miscellaneous Discoveries in Other Cellular Automata

This does something

Code: Select all

x = 27, y = 26, rule = B3-n/S23-a4i
b3o4b3o12b3o$bo2bo2bo2bo11bo2bo$bo2bo2bo2bo11bo2bo$2b3o2b3o12b3o3$22b
3o$22bo2bo$22bo2bo$23b3o7$3o$o2bo$o2bo$b3o3$b3o14b3o2b3o$o2bo13bo2bo2b o2bo$o2bo13bo2bo2bo2bo$3o14b3o4b3o!  This does two somethings Code: Select all x = 26, y = 26, rule = B3-n/S23-a4i 3o4b3o12b3o$o2bo2bo2bo11bo2bo$o2bo2bo2bo11bo2bo$b3o2b3o12b3o3$21b3o$
21bo2bo$21bo2bo$22b3o7$3o$o2bo$o2bo$b3o3$b3o13b3o2b3o$o2bo12bo2bo2bo2b
o$o2bo12bo2bo2bo2bo$3o13b3o4b3o!

My favourite oscillator of all time

Code: Select all

x = 15, y = 13, rule = B3/S23
7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o 4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o!  Moosey Posts: 3056 Joined: January 27th, 2019, 5:54 pm Location: A house, or perhaps the OCA board. Or [click to not expand] Contact: ### Re: Miscellaneous Discoveries in Other Cellular Automata This rule is a relative of one in FWKnightship's first post. I like it. Code: Select all x = 47, y = 17, rule = B2n3-jkn/S1c2-n3-cy b2o$o2bo$b2o2$bo4$36bo7b3o$35bo10bo$16b2o17b2o7b3o$15bo2bo$16b2o9bo$
23b4o$9bo8b2o$9bo7bo2bo3bo$9bo8b2o3bo!  Failed periodic catalyst: Code: Select all x = 21, y = 3, rule = B2n3-jkn/S1c2-n3-cy 3o13bo3bo$o15b2obo$3o13bo!  The rule supports a mutant G and it has an eater: Code: Select all x = 6, y = 8, rule = B2n3-jkn/S1c2-n3-cy 5bo$3b2o$4b2o3$2o$bo$o!

Multiple, in fact:

Code: Select all

x = 8, y = 10, rule = B2n3-jkn/S1c2-n3-cy
7bo$5b2o$6b2o5$b2o$o2bo$b2o!  Code: Select all x = 8, y = 12, rule = B2n3-jkn/S1c2-n3-cy 7bo$5b2o$6b2o5$b2o$o2bo$3bobo$bobo2bo$2bo!

I suppose this rule has been discussed before.
Piship eater:

Code: Select all

x = 5, y = 10, rule = B2n3-jkn/S1c2-n3-cy
3o$obo$obo6$3b2o$3b2o!

p6:

Code: Select all

x = 6, y = 6, rule = B2n3-jkn/S1c2-n3-cy
4b2o$4b2o$bo$obo$o2bo$b2o!  OMOS: Code: Select all x = 13, y = 9, rule = B2n3-jkn/S1c2-n3-cy bo9bo$2o9b2o$bo9bo4$bo9bo$2o9b2o$bo9bo!

It can interact with G eaters:

Code: Select all

x = 25, y = 19, rule = B2n3-jkn/S1c2-n3-cy
3bo$bo2bo17b2o$o3bo17b2o$b3o2$2bo5bo9bo$bo5b2o9b2o$8bo9bo4$8bo9bo$bo5b
2o9b2o$2bo5bo9bo2$b3o19bo$obobo17bobo$4bo17bobo$3bo19bo!  I am a prolific creator of many rather pathetic googological functions My CA rules can be found here Also, the tree game Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?" Gustone Posts: 599 Joined: March 6th, 2019, 2:26 am ### Re: Miscellaneous Discoveries in Other Cellular Automata self repairing shuttle pred Code: Select all x = 11, y = 3, rule = B3/S23-c 2bo5bo$b3o3b3o$2obo3bob2o!  gun Code: Select all x = 18, y = 16, rule = B3/S23-c 4b2obo3bob2o$5b3o3b3o$6bo5bo6$14b2o$14bo$15b3o$17bo2$2bo5bo$b3o3b3o$2o
bo3bob2o!

My favourite oscillator of all time

Code: Select all

x = 15, y = 13, rule = B3/S23
7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o 4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o!  Moosey Posts: 3056 Joined: January 27th, 2019, 5:54 pm Location: A house, or perhaps the OCA board. Or [click to not expand] Contact: ### Re: Miscellaneous Discoveries in Other Cellular Automata Misc synths in my rule, including a synth for a gutter version of the OMOS and a synth for "pathetic" (etymology: "that's not a mazing! That's pathetic!") Code: Select all x = 68, y = 18, rule = B2n3-jkn/S1c2-n3-cy 65b3o$45b3o19bo$45bo19b3o$45b3o3$9b3o12b3o$9bobo12bobo$9bobo12bobo5$2b
o$b2o29b3o$o33bo$b2o29b3o$2bo!

Ship-osc:

Code: Select all

x = 6, y = 7, rule = B2n3-jkn/S1c2-n3-cy
4b2o$3bobo$3b2o2$b2o$obo$2o!  3c55? Code: Select all x = 11, y = 11, rule = B2n3-jkn/S1c2-n3-cy 3o5b3o$o9bo$3o5b3o6$bo7bo$bo7bo$bo7bo!

More OMOS:

Code: Select all

x = 10, y = 16, rule = B2n3-jkn/S1c2-n3-cy
6b3o$3o3bobo$obo3bobo$obo9$7bobo$bobo3bobo$bobo3b3o$b3o!  Some 2P synths: Code: Select all x = 258, y = 9, rule = B2n3-jkn/S1c2-n3-cy 7bobobo$7bobobo$8b3o15bo60bo$25bobo20bo3bo32b2ob2o$49b3o33b2ob2o44bo 38bobobo34bo$25b3o22bo82b3o37bobobo33b3o39bobobo$3o14b3o21b3o33b3o44b 3o6bobo29b3o6b3o24b3o7bobo30b3o7b3o$o16bo23bo35bo46bo9bo30bo35bo10bo
31bo9b3o$3o14b3o21b3o33b3o44b3o7bo30b3o33b3o8bo31b3o!  3P G and 2G P-- are there any 2P Gs? Code: Select all x = 62, y = 21, rule = B2n3-jkn/S1c2-n3-cy 15b3o$15bobo$15bobo13$59bobo$59bo$9bobobo32bo12b2o$3o7b3o35bo$o9b3o33b
3o$3o!  I am a prolific creator of many rather pathetic googological functions My CA rules can be found here Also, the tree game Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?" FWKnightship Posts: 147 Joined: June 23rd, 2019, 3:10 am Location: B3aijn5nq/S2ae3aijr4ir5y - B2ikn3-q4-akr56-ac78/S02-ck3-n4-ajkw5678 ### Re: Miscellaneous Discoveries in Other Cellular Automata Moosey wrote:This rule is a relative of one in FWKnightship's first post. I like it. Code: Select all x = 47, y = 17, rule = B2n3-jkn/S1c2-n3-cy b2o$o2bo$b2o2$bo4$36bo7b3o$35bo10bo$16b2o17b2o7b3o$15bo2bo$16b2o9bo$
23b4o$9bo8b2o$9bo7bo2bo3bo$9bo8b2o3bo!  p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p17,c/4: Code: Select all x = 207, y = 37, rule = B2n3-jkn/S1c2-n3-cy 53bo14bo2b2o14b2o11bo20bo15bo10bo8bo12bo10bo15b3o4b3o$11b2o14bo6b2obo
11bo2bobo14bo2bo13bo2bo11bo18b2o14bo12bo6bobo2bo4bo2bobo8bo3bobo10bobo
4bobo$2b3o6bo14bo6bo2bo13bobobo16bo28b2o34bo3bo4bo3bo6b2o2bo6bo2b2o8b 2o3bo$26bo6b2o3bo14bo14bo2bo14bo2bo32bo14bobo6bobo12bo4bo31b3o2b3o$15b o8bobo12bo45b2o2b2o29bobo17bo4bo55b2o$14b2o7bo2bo23bo53b2o15b2ob2o$49b o17bo18bo2bo14bo19b2o56b2o$67b2o18b2o15bo2bo73bobo$39bo65b3o$3b2o18bo
2bo9b3o101bo4bo$2bobo6b2ob2o8bobo110bobo6bobo$11bo3bo10bo7bob2o12b2o
58b2o16bo7bo3bo4bo3bo$3bo22bo7bobobo11bo20b2o18b2o17bobo13b2o$4bo10bo
9bo8bo32b2o2b2o10bo5b2o2bo31bobo8bo12bo$14b2o17bo17bo2bo12bo14bobo4bo 32bo2bo9bobo10bobo$51bob2o29bobo2bo31bo4bo$51bo19bo13bo4bo34bo53bo$2b
2o20b2o24bo15b2o2b2o53bo52bo3bobo$2bo8bo2bo8bo2bo39b2o52b2ob2o53b2o3bo$3bobo6bo2bo7bo95bo2bo12bobo10bobo$4b2o9bo8b3o92b2o15bo12bo$13bo2bo8b
2o57b2o4b2o26bo$14b2o55bo12bo6bo44bo3bo4bo3bo30b2o7bo$47bo8bo13bobobo
10bob2obo46bobo6bobo31bo7bo$obo45b2o4b2o16b2o11bo4bo49bo4bo43bo$b2o46b
o4bo15b2o8b2o12b2o88bo$11b2o36bo4bo13bo11bob2o2bo2bo2b2obo87b2o$4b2o5b
o36bo6bo14bo14bo4bo99b2o$4bo60bobobo12bo10bo96b2o$5bo8b2o48bo2bo14bo
10bo$14bobo48b2o18bo4bo$66bo13bob2o2bo2bo2b2obo$65bo14b2o12b2o$85bo4bo
$85bob2obo$84bo6bo$84b2o4b2o! Code: Select all x = 45, y = 5, rule = B3aijn4w5nq/S2ae3aijr4irz5y 5o3bobobo5bob3obo4bo3b2obo3bob2o$o3bo3bobobo7bobobo4bo2bo3bo5bobo$3obo bobob2o2b3obob3ob3ob3o2bo2b2o2bob3o$o3bobobobobobobobo3bobobo2bo4bobob
obobo$o3b5obobobobobob2o2bobo2b2ob2o2bobobobo! LaundryPizza03 Posts: 532 Joined: December 15th, 2017, 12:05 am Location: Unidentified location "https://en.wikipedia.org/wiki/Texas" ### Re: Miscellaneous Discoveries in Other Cellular Automata There is likely no ship that works in more rules than these (tied for 2^94): Code: Select all x = 2, y = 4, rule = B2ae/S o$bo$bo$o!


Code: Select all

x = 3, y = 4, rule = B2ak/S
o$2bo$2bo$o!  Code: Select all x = 4, y = 3, rule = B3-q4z5y/S234k5j 2b2o$b2o$2o!  LaundryPizza03 at Wikipedia Gustone Posts: 599 Joined: March 6th, 2019, 2:26 am ### Re: Miscellaneous Discoveries in Other Cellular Automata natural 8c/24 pred Code: Select all x = 3, y = 3, rule = B3aeijr6/S023 bo$3o$o!  variations p12 Code: Select all x = 3, y = 3, rule = B3aeijr6/S23 bo$3o$o!  p6 Code: Select all x = 3, y = 3, rule = B3aeij6/S023 bo$3o$o!  My favourite oscillator of all time Code: Select all x = 15, y = 13, rule = B3/S23 7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o
4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o!


Gamedziner
Posts: 796
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Miscellaneous Discoveries in Other Cellular Automata

Gustone wrote: p6

Code: Select all

x = 3, y = 3, rule = B3aeij6/S023
bo$3o$o!

The pi heptomino is a predecessor for four copies of a puffer in this rule (speed 8c/36 diagonal):

Code: Select all

x = 3, y = 3, rule = B3aeij6/S023
3o$o$3o!
A p9 with a one-dimensional phase:

Code: Select all

x = 6, y = 1, rule = B3aeij6/S023
6o!

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27. A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A$4.2A18$4.2A$4.2A2.2A$8.2A!  Moosey Posts: 3056 Joined: January 27th, 2019, 5:54 pm Location: A house, or perhaps the OCA board. Or [click to not expand] Contact: ### Re: Miscellaneous Discoveries in Other Cellular Automata Failed oblique cordership generates sierpinski's triangle in unusual way: Code: Select all x = 8, y = 13, rule = B34e7c/S23-a4i6ae o$2o$b2o$2o6$5bo$5b2o$6b2o$5b2o!

Weird RFO thing in related rule:

Code: Select all

x = 4, y = 4, rule = B34e5ace7c/S23-a4i6ae
b3o$2obo$bobo$2bo!  EDIT: a trilobites relative has this 4c60 (c/15 simplified) Code: Select all x = 9, y = 3, rule = B3aijnq4ew5nq/S2ae3aijr4irz5ky 3o3b3o$obo3bobo$2o5b2o!  Another: Code: Select all x = 21, y = 9, rule = B3aijn4eikqwz5cnq/S2ae3aijkr4irz5kry 2bo15bo$2b2o13b2o$3o15b3o$bo17bo2$7bo5bo$6b3o3b3o$5b2o7b2o$6bo7bo!

Trilobreeder:

Code: Select all

x = 11, y = 3, rule = B3aijkn4eqw5cnq/S2ae3aijkr4irz5kry
3o5b3o$o9bo$o9bo!

8c80 triloship:

Code: Select all

x = 21, y = 9, rule = B3aijn4eqw5cnq/S2ae3aijkr4irz5kry
2b2o13b2o$3b2o11b2o$obo15bobo$2o17b2o$bo5bo5bo5bo$7b2o3b2o$6bobo3bobo$4b2o9b2o$5b2o7b2o!

Backrake:

Code: Select all

x = 11, y = 3, rule = B3aijn4eikqw5cnq/S2ae3aijkr4irz5kry
3o5b3o$o9bo$o9bo!

And ship in same rule:

Code: Select all

x = 11, y = 5, rule = B3aijn4eikqw5cnq/S2ae3aijkr4irz5kry
8b3o$10bo$3o7bo$o$o!

This rule is fairly rich with both an incredibly sparky 4c/60 and a common (3,10)c/95 oblique knightship rake:

Code: Select all

x = 131, y = 25, rule = B3aijn4eiqwz5cnq/S2ae3aijkr4irz5kry
5b2o$5bo$5b2o$7bo$8bobo$3o5b3o$obo$2bo5$7b3o99b2o9b2o$9bo99bobo7bobo$
8b2o99b3o7b3o$102b2o23b2o$103bo23bo$100bo2bo23bo2bo$100b3o25b3o4$107b 3o11b3o$107bobo11bobo$108b2o11b2o!  The oblique rake is essentially what is usually the gun: Code: Select all x = 9, y = 13, rule = B3aijn4eiqwz5cnq/S2ae3aijkr4irz5kry 6b2o$6bobo$6b3o4$3o$obo$b2o2$4b3o$4bobo$5b2o!  A ship may be possible: Code: Select all x = 62, y = 184, rule = B3aijn4eiqwz5cnq/S2ae3aijkr4irz5kry 59b2o$59bobo$59b3o4$53b3o$53bobo$54b2o2$57b3o$57bobo$58b2o9$40bo$39bob 2o$39b3o$40bo39$28bo$26bobo$26b3o40$15bo$13b3o$14bo40$bo$bobo$b2o22$6b 2o$6bobo$6b3o4$3o$obo$b2o2$4b3o$4bobo$5b2o!  EDIT: a rule with a common p36: Code: Select all x = 3, y = 3, rule = B2ikn34e5cky6cn/S2-i3-a5kn bo$obo$bo!  Last edited by Moosey on August 3rd, 2019, 5:30 pm, edited 1 time in total. I am a prolific creator of many rather pathetic googological functions My CA rules can be found here Also, the tree game Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?" Gustone Posts: 599 Joined: March 6th, 2019, 2:26 am ### Re: Miscellaneous Discoveries in Other Cellular Automata Rule made to support 2 mutant gs Code: Select all x = 10, y = 3, rule = B34i/S1c2-ck3 bo6b2o$o6bo$3o4b3o!  My favourite oscillator of all time Code: Select all x = 15, y = 13, rule = B3/S23 7bo2$3b2o5b2o$b2o4bo4b2o$5b2ob2o$bobo7bobo$bo2bobobobo2bo$5obobob5o$o
4bo3bo4bo$b3obobobob3o$3bob2obo2bo$8bobo$8b2o!


Posts: 430
Joined: May 7th, 2016, 8:53 am
Contact:

### Re: Miscellaneous Discoveries in Other Cellular Automata

Moosey wrote:...
A ship may be possible:

Code: Select all

x = 62, y = 184, rule = B3aijn4eiqwz5cnq/S2ae3aijkr4irz5kry
59b2o$59bobo$59b3o4$53b3o$53bobo$54b2o2$57b3o$57bobo$58b2o9$40bo$39bob
2o$39b3o$40bo39$28bo$26bobo$26b3o40$15bo$13b3o$14bo40$bo$bobo$b2o22$6b
2o$6bobo$6b3o4$3o$obo$b2o2$4b3o$4bobo$5b2o!

...

Code: Select all

x = 583, y = 351, rule = B3aijn4eiqwz5cnq/S2ae3aijkr4irz5kry
99b2o$99bo$99b3o$95b3o$97bo$95bobo2$91bobo12bo$91bo14bobo$91b3o4b3o5b
3o$98bobo$101bo$102b2o$103bo$102b2o4$108b2o$107bo2bo$109b2o$109b2o15$
77bobo$77b2o$78bo6$143bo$143b2o$142bob2o$143b2o24$177b3o$179bo$178b2o 3$66bo$67bo$64b2obo$64b3o18$212b2o$213b2o$213bo19$52bo$51bob2o$51b3o$
52bo$248bo$249bo$247b3o18$429b2o$429bo$429b3o$425b3o$427bo$425bobo$
282bo$283b2o136bobo12bo$282b2o137bo14bobo$421b3o4b3o5b3o$428bobo$431bo$432b2o$433bo$432b2o4$40bo397b2o$38bobo396bo2bo$38b3o398b2o$439b2o10$316b2o$315bo2bo$317b2o$317b2o2$407bobo$407b2o$408bo6$473bo$473b2o$472b
ob2o$473b2o10$351bo$351b2o$350bob2o$27bo323b2o$25b3o$26bo9$507b3o$509b o$508b2o3$396bo$397bo$394b2obo$394b3o5$385b3o$387bo$386b2o11$542b2o$543b2o$543bo3$13bo$13bobo$13b2o18$578bo$579bo$577b3o10$581b2o$582bo$580b3o4$546b2o$545bob2o$546b2o$546bo$obo$2o$bo510b2o$512b2o$176b2o332b
o2bo$176bo334b2o$91b2o83b3o$91bo80b3o$91b3o80bo302b2o$87b3o82bobo303b 2o$10b2o77bo387bo$10bobo74bobo78bobo12bo$10b3o155bo14bobo$3b2o78bobo 12bo69b3o4b3o5b3o$4bo9b2o67bo14bobo74bobo264b3o$bo2bo9bobo66b3o4b3o5b 3o77bo265bo$b3o10b3o73bobo86b2o262bo$93bo86bo$94b2o83b2o$95bo312bo$8b
3o83b2o312b2o$8bobo396b2o$9b2o174b2o$184bo2bo$100b2o84b2o$99bo2bo83b2o 185b2o$15b2o84b2o271bo$14bo2bo83b2o269b3o$16b2o$16b2o2$338b2o$337bob2o$338b2o$338bo3$304b2o$304b2o$302bo2bo$154bobo146b2o$154b2o$69bobo83bo$
69b2o198b2o$70bo199b2o$184b2o83bo$185b2o$184bo2$234b3o$135bo100bo$135b 2o12b3o83bo$50bo83bob2o13bo$50b2o83b2o13bo$49bob2o147bo$50b2o148b2o$
115bo83b2o$115b2o$114b2o2$165b2o$166bo$80b2o82b3o$81bo$79b3o!  Moosey Posts: 3056 Joined: January 27th, 2019, 5:54 pm Location: A house, or perhaps the OCA board. Or [click to not expand] Contact: ### Re: Miscellaneous Discoveries in Other Cellular Automata Fwknightship has made these 4- and 3- engine ships- I'm afraid you have been beaten to the punch: FWKnightship wrote: 4-engine (3,10)c/95 spaceship: Code: Select all x = 57, y = 39, rule = B3aijn4eiqwz5cnq/S2ae3aijkr4irz5kry 16b3o$16bo23b2o2bo$17bo2bo19bo$18bobo6bo8bo4bo$19b2o5b2o7b2o4b2o$27b2o
5b2o6b2o4$17bo22bo$17b2o4b2o$17bo5b2o25bobo2b2o$48bo5b2o$bobo32bo10bo 6bo$b2o33b3o7b2o$2bo34bo9b2o2$32b2o$33b2o$33bo2$39bo$2b2o35b2o$3b2o35b 2o$obo4bo$2o6b2o$bo6bo$33b2o$21bo12b2o$21b2o12bo$20bobo$18b2o17b2o$12b
o6b2o17b2o$11b3o25bo$13b2o$13bo$32b2o$31bobo$32b2o!
EDIT:3-engine:

Code: Select all

x = 86, y = 85, rule = B3aijn4eiqwz5cnq/S2ae3aijkr4irz5kry
42b2o$41b2o$43bobo$5bo38b2o$5b2o2bo28bo5bo$3b3o4b3o24b2o$4bo6bo25bobo$40b2o$39b4o$40b3o$24bo16bobo$23b3o18b2o$22b2o19b2o$23bo$14b2o$15b2o$
16bo$34b2o$33bobo$34b2o4$64bo$64bobo$64b3o3$5b2o$5bo$5bo2bo$6b3o$15b2o$2o12b2o$obo13bo$3bo$3bo$3bobo$4b2o5b2o$4bo6b2o2$23bobo$24b2o$24bo$20b
o$21b2o$20b2o11$33b2o$34b2o$34bo6$83bo$83b3o$84bo15$69bo$70bo$68b3o! I have to say, yours has an interesting look--some kinda mountain range. 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?" LaundryPizza03 Posts: 532 Joined: December 15th, 2017, 12:05 am Location: Unidentified location "https://en.wikipedia.org/wiki/Texas" ### Re: Miscellaneous Discoveries in Other Cellular Automata First known ship made of 2*2 blocks? Code: Select all x = 8, y = 12, rule = B03/S5 4b4o$4b4o$4b4o$4b4o$2o$2o$2o$2o$2o4b2o$2o4b2o$2o4b2o$2o4b2o!

This ship is based on the following object from the rule that emulates alternating generations of the above:

Code: Select all

x = 4, y = 6, rule = B1e2ci3ejkqy4aceiqrt5ceiy6ckn78/S012ckn3ceiy4ceinrtw5-jnqr6-a78
2b2o$2b2o$o$o$o2bo$o2bo!  Code: Select all x = 4, y = 3, rule = B3-q4z5y/S234k5j 2b2o$b2o$2o!  LaundryPizza03 at Wikipedia muzik Posts: 3774 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: Miscellaneous Discoveries in Other Cellular Automata Can't say I've seen one of those before. Would one be possible in a rule without B0? Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! Gamedziner Posts: 796 Joined: May 30th, 2016, 8:47 pm Location: Milky Way Galaxy: Planet Earth ### Re: Miscellaneous Discoveries in Other Cellular Automata p10: Code: Select all x = 5, y = 5, rule = B03/S012 2bo4$o3bo!
p40:

Code: Select all

x = 6, y = 6, rule = B03/S012
5bo$2bo$bo$4bo$3bo$o! Code: Select all x = 81, y = 96, rule = LifeHistory 58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!


CoolCreeper39
Posts: 58
Joined: June 19th, 2019, 12:18 pm

### Re: Miscellaneous Discoveries in Other Cellular Automata

A diagonal c11/52 puffer:

Code: Select all

x = 8, y = 13, rule = B37e/S23
2b3o$2b2ob2o$4b3o$4b3o$2o3bo$2o3bo$4bo2$7bo$b2o2b3o$bo2bob2o$bob2o$2b 3o!  A for awesome Posts: 1950 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: Miscellaneous Discoveries in Other Cellular Automata P64 with a 12-cell envelope: Code: Select all x = 3, y = 4, rule = B2ci3-cqr4ajkqyz5i6ack/S01c2ein3aknry4ejt5cn6n bo2$2o$2bo! 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 Hdjensofjfnen Posts: 1478 Joined: March 15th, 2016, 6:41 pm Location: r cis θ ### Re: Miscellaneous Discoveries in Other Cellular Automata A for awesome wrote:P64 with a 12-cell envelope: Code: Select all x = 3, y = 4, rule = B2ci3-cqr4ajkqyz5i6ack/S01c2ein3aknry4ejt5cn6n bo2$2o$2bo! Nice! I once found a similar 12-cell envelope oscillator that was period 28, but I seem to have lost it. "A man said to the universe: 'Sir, I exist!' 'However,' replied the universe, 'The fact has not created in me A sense of obligation.'" -Stephen Crane Code: Select all x = 7, y = 5, rule = B3/S2-i3-y4i 4b3o$6bo$o3b3o$2o$bo!  Βεν Γ. Κυθισ Posts: 218 Joined: December 27th, 2018, 5:42 am ### Re: Miscellaneous Discoveries in Other Cellular Automata I found a p64 12-cell: Code: Select all x = 3, y = 4, rule = B2ci3-cqr4ajkqyz5i6ack/S01c2ein3aknry4ejt5cn6n o$o$obo$o!

Sorry, some of my rules before April 20 2019 have Unicode characters that are not compatible with Golly; you will have to remove them when pasting them in your text editor.
If for some reason you needed to know, my PGP key ID is DB271923.