Soup search results in rules other than Conway's Life

For discussion of other cellular automata.

Re: Soup search results in rules other than Conway's Life

testitemqlstudop wrote:Now that's a nice rule

Yes, not too bad, still, the x (I mean the +) in indestructible. However, adding B7c makes it destructible (even in a slow salvo):
`x = 16, y = 50, rule = B2an3ekr4i7c/S1c2ci3iqy4-a567810\$11bo\$10b3o\$11bo6\$13b2o2\$14bo11\$8b2o2\$9bo!`

while preserving most of the properties, esp. the min repeat 7/8 reflector and a small splitter (min. repeat 28):
`x = 64, y = 75, rule = B2an3ekr4i7c/S1c2ci3iqy4-a567825\$26bo11bo13bo\$25b3o9b3o11b3o\$24bobo9bobo11bobo6\$23b2o11b2o17b2o2\$24bo12bo18bo5\$36b2o\$23b2o\$37bo\$24bo18\$55b2o2\$56bo!`

For illustration purpose, all guns (p>6) up to p32 work in this rule as well:
`x = 46, y = 387, rule = B2an3ekr4i7c/S1c2ci3iqy4-a56783\$22bo2bo2bo\$21b9o\$22bo2bo2bo\$22bo\$21b3ob2o\$22bo3\$24bobo\$23b3o\$24bo4\$26bo\$25b3o\$26bobo2\$22bobo\$21b3obo\$22bobo4\$24bo\$23b3o\$24bobobo\$23b2o2b3o\$24bo3bo\$24bo2\$23bo\$21bobo\$20b3o\$21bo4\$23bobo\$24b3o\$25bo\$25b2o4\$24bobo\$23b3o\$24bo4\$23bo2bo\$22b6o\$21bobo2bo\$25b2o\$23bo2\$23bo\$24bobo\$23b3o\$24bo\$20bo\$19b3o\$20bo3\$23bobo\$24bo\$21bobo\$20b3obo\$21bo4\$25bo\$24b3o\$25bo\$25b2o3\$25bo\$22bobo\$23b3o\$24bo3bo\$27b3o\$28bo2\$25bo\$24b3o\$25bo\$22bo3bo\$21b3o\$22bo3bo\$23bobo3\$25bo\$24b3o\$25bo4\$24bo\$25bo2bo\$24b5o\$25bo\$21bobo2bobo2bo\$20bob3obo2b4o\$21bobo7bo\$25bo2bo3\$27bobo\$26b5o\$27bobo\$26bo\$23bobo\$22b4o\$23bo3\$21bo2bo\$20b6o\$21bo2bobo\$21bo2bo5bo\$20b5o4b3o\$21bo2bo5bo2\$24b2o2\$22bobo\$21b3o\$22bo3\$26bo\$25b3o\$19bo4bobo\$18b3o\$19bo6b2o3\$23bo\$24bobo\$23b3o\$24bo3\$22bo2bo\$21b6o\$16bo3bobo2bo\$15b3o5bobo\$16bo7b3o\$23bobo4\$21bo\$21bobo\$21bobo\$22bo3\$20bo\$19b3o\$20bo6bo\$26b3o\$27bo\$27b2o6\$24bobobo\$23b5o\$24bobo6\$14bobo4bobo\$13b4o6bo\$12b3o\$13b2o3b2o\$12b4ob2o\$13bo2bo5bo\$15b3o3b3o\$16bo5bo6\$20bobobo\$18bo2b3o\$19b5o\$18b2o2bobo\$19b3o\$18bobo\$23bo\$21bobo2\$19b2o\$21bo\$20bo\$19b3o\$20bo\$21bo5\$21bo\$20b3o\$17bo3bo\$16bo3b3o\$9bo5b3o\$8b3o5bo4bobo\$7b3o7bo5bo\$6b3o7bobo\$7bo9bo\$19bobo\$8bo9b3obo\$7b3o9bobo\$8bo3\$13bo\$14bo5bobo\$19bob3o\$20bobo2\$16bobo2bobo\$15b3o5bo\$14bobo2bo3\$18bo\$17b3o\$18bo5\$21bobo\$16bo6bo\$12bobo3bobobo\$13b3o6bo\$14bobo4b3o\$22bo\$21bo3\$23bo\$22b3o\$23bo\$23bo2\$12bobo6bobo\$11b3obo3bo3bo\$12bo2bo3bo2\$23bo\$22b3o\$23bo6\$21bo2bo\$20b6o\$21bo2bobo3\$18bo2bobo\$17b3o3bo\$18bobo2\$24bo\$23b3o\$24bo5\$16bobobo\$15b7o\$16bobobo4\$17bo3bobo\$23bo2\$16b3o\$17bobo5bo\$15bo4bo3b3o\$14b3o3bo4bo\$15bo2bobo\$18bo\$17b3o\$18bo4\$23bo2bo\$21bo2b2o2bo\$19bo2b6o\$18b6ob3o\$19bo2bo3b2o\$19bo2b2ob3o\$19bo6b2o\$19bo5b3o\$19bo6b2o\$19bo6b3o\$19bo5bobo\$19bo\$19bo\$19bobobo\$19bo3bo\$18b3o\$19bo6\$19bo\$18b3o\$19bo\$18bo\$19b2o3\$21bobo\$23bo\$17bobobo\$18b3o\$19bo4\$22bo\$21bobo\$22bo\$15bo5b3o\$14b3obo3bo\$15bobo2\$21bobo\$17bobo3bo\$16b5o\$17bobo5\$20bo\$19bo\$18b3o\$17bob3o\$20bo\$17bo\$16b3o2bobo\$15bobo5bo3\$18bob2o3bobo\$13bo4bo7b3o\$12b3o5bo2bobobo\$13bo\$21b2o\$14bo11bo\$13b15o\$14bo11bo!`

Edit1:extended gun list to p32.

Edit2:
A fancy p109:
`x = 22, y = 22, rule = B2an3ekr4i7c/S1c2ci3iqy4-a5678bo18bo\$ob18obo\$bo18bo\$bo18bo\$bo11bo6bo\$bo10b3o5bo\$bo11bo6bo\$bo12bo5bo\$bo18bo\$bo10b2o6bo\$bo18bo\$bo16bobo\$bo15bo2bo\$bo14b3obo\$bo15bo2bo\$bo18bo\$bo18bo\$bo18bo\$bo18bo\$bo18bo\$ob18obo\$bo18bo!`

2718281828

Posts: 738
Joined: August 8th, 2017, 5:38 pm

Re: Soup search results in rules other than Conway's Life

A gun principle that works for arbitrary large ships. Here a p31 version:
`x = 81, y = 55, rule = B2an3ekr4i7c/S1c2ci3iqy4-a56787\$64bo\$63b3o\$64bo4bo\$52bo10bo4b3o\$51bo12bo4bo\$68b3o\$69bo\$61bobobo2bo\$60bob3o\$61bobo2\$bo\$3o51bobo\$bobo13bo36bo13bobo\$15bobo51b3o\$49b2o19bo\$75bo\$8bobo39bo23b3o\$7b3obo47bo13bobo\$3bo2bobobo48bobo\$2bo\$b3o\$2bo4bo46bo11bobo\$b3o4bo44bobo9bob3o\$2bo4bo46bo11bobobo2bo\$6b3o26bobobo13b3o3bobo12bo\$7bo26b7o13bo3b5o10b3o\$35bobobo15bo5bo7bo4bo\$68bo4b3o\$69bo4bo\$49bo5bobobo8b3o\$48bo7b5o8bo\$47b3o7bobo\$48bo!`

2718281828

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Re: Soup search results in rules other than Conway's Life

Massive natural block:

`x = 16, y = 16, rule = B2c3aj4ajqrw5-cenr6-cn7e8/S01e2-ck3air4ainqrt5aci6a78b3ob10o\$bo6bob3obo\$2o8b2ob2o\$2ob5obo4b2o\$obob11o\$ob2o3b4ob2obo\$ob2obob2obo4bo\$o2b3o3bobob2o\$bob3o2b2o5bo\$bo2bo2b2o3bo2bo\$2b2o2bob2o3b2o\$bo3b2o2b2ob3o\$2bobo2b2o2bob3o\$o9b4obo\$5o2b6o2bo\$2ob3ob2obobo2bo!`

Can anyone get anything bigger to show up?
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
muzik

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Re: Soup search results in rules other than Conway's Life

That rule is cool:
`x = 103, y = 62, rule = B2c3aj4ajqrw5-cenr6-cn7e8/S01e2-ck3air4ainqrt5aci6a7839b2o\$39b2o2\$44bo\$42b2o3bo\$41b6o3bo\$40b10o3bo\$39b14o3bo\$38b18o3bo\$37b22o3bo\$36b26o\$21b49o\$21b49o10\$38b2o\$38b2o2\$43bo\$41b2o3bo\$40b6o4bo\$39b11o4bo\$38b16o4bo\$37b21o4bo\$36b26o\$21b49o11\$44bo\$42b2o3bo\$41b6o3bo\$40b10o3bo\$39b14o3bo\$38b18o3bo\$37b22o3bo\$36b26o\$21b49o\$21b49o2\$76bo\$74b2o3bo\$73b6o4bo\$72b11o4bo\$71b16o4bo\$20bo49b21o4bo\$18b2o49b26o\$103o!`
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

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Joined: January 27th, 2019, 5:54 pm
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Re: Soup search results in rules other than Conway's Life

Here's a variant of the top rule with a smaller reflector:

`x = 81, y = 30, rule = B2an3r4ei/S1c2ci3i4bo\$obo5\$b2o2\$2bo4\$2o2\$o5\$74bo4bo\$73bo4bobo\$b2o\$74b2o\$bo\$79bo\$73bobo4bo\$74bo4bo\$2o2\$bo!`

testitemqlstudop

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Re: Soup search results in rules other than Conway's Life

testitemqlstudop wrote:Here's a variant of the top rule with a smaller reflector:

`x = 81, y = 30, rule = B2an3r4ei/S1c2ci3i4bo\$obo5\$b2o2\$2bo4\$2o2\$o5\$74bo4bo\$73bo4bobo\$b2o\$74b2o\$bo\$79bo\$73bobo4bo\$74bo4bo\$2o2\$bo!`

that rule has nice tech-- but I like this relative better. Memcell thing:
`x = 11, y = 17, rule = B2an3r4ei/S1c2ci3ci4bo\$3o\$bo2\$5bo\$4b3o\$5bo\$4bo\$9bo\$8b3o\$9bo4\$4b2o2\$4bo!`

Cool catalysis:
`x = 10, y = 14, rule = B2an3r4ei/S1c2ci3ci4obo4bobo\$bo6bo\$o8bo\$bo6bo\$3o4b3o\$bo6bo6\$4b2o2\$4bo!`

Hey! You look familiar!
`x = 4, y = 8, rule = B2an3r4ei/S1c2ci3ci42o\$2o4\$2bo\$3bo\$2bo!`

Almost-180° reflector:
`x = 21, y = 31, rule = B2an3r4ei/S1c2ci3ci4bo17bo\$obo17bo\$19bo12\$10bo\$11bo6bobo\$bo8bo8bo\$o\$bo10\$6bobo\$8bo2bobo\$12bo!`

Simpler:
`x = 9, y = 18, rule = B2an3r4ei/S1c2ci3ci45bobo\$4bo3bo\$3bobobo13\$obo\$2bo2bobo\$6bo!`

Semisnark:
`x = 5, y = 17, rule = B2an3r4ei/S1c2ci3ci4o2\$2o3\$o2\$2o8\$4bo\$3bo!`

If there's a gun in this rule then there's an inverter:
`x = 15, y = 38, rule = B2an3r4ei/S1c2ci3ci42bo2\$2b2o8\$2bo2\$2b2o15\$2bo4bo\$6bo\$2b2o\$12bobo\$12bo2\$2bobo\$3bo\$5bo\$o3bo\$bo!`

Though this would make more sense:
`x = 28, y = 22, rule = B2an3r4ei/S1c2ci3ci45bobo2bobo2bobo2bobo2bobo\$5bo4bo4bo4bo4bo3\$2o2\$o3\$2o2\$o8\$2o2\$o!`
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: 2357
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

Re: Soup search results in rules other than Conway's Life

Moosey wrote:Hey! You look familiar!
`x = 4, y = 8, rule = B2an3r4ei/S1c2ci3ci42o\$2o4\$2bo\$3bo\$2bo!`

A wholesome variant:
`x = 3, y = 8, rule = B2an3r4ei/S1c2ci3ci42o\$2o4\$2bo\$bo\$2bo!`
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: 1297
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Soup search results in rules other than Conway's Life

we should probably move discussion of this rulespace to another thread.
Here's a relative preserving testitem's reflector and catalysts but also allowing the n-cell bar action:
`x = 1, y = 21, rule = B2an3ir4ei/S1c2ci3ci4o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o\$o!`

Challenge: construct a counter and a counter counter/tetrational sawtooth
Small ships:
`x = 11, y = 3, rule = B2an3ir4ei/S1c2ci3ci42bo7bo\$obo6b2o\$10bo!`

Strange behavior:
`x = 19, y = 4, rule = B2an3ir4ei/S1c2ci3ci417bo\$o15bobo\$o\$o!`

Gun:
`x = 16, y = 5, rule = B2an3ir4ei/S1c2ci3ci4bo12bo\$o12bobo\$bo8bo\$10bo\$10bo!`

It's adjustable, too-- in multiple ways:
`x = 74, y = 17, rule = B2an3ir4ei/S1c2ci3ci471bo\$72bo10\$bo12bo\$o12bobo\$bo8bo\$10bo\$10bo62bo\$72bo!`

Almost high-period gun:
`x = 134, y = 104, rule = B2an3ir4ei/S1c2ci3ci4123bo\$10bo113bo\$10bo\$bo8bo\$o12bobo\$bo12bo14\$131bo\$132bo10\$61bo12bo\$60bo12bobo\$61bo8bo\$70bo\$70bo62bo\$132bo\$45bo\$46bo24\$52b2o2\$52bobo\$59bobobo3bobobo3bobo\$59bobo5bobo5b3o6bo\$75bobo\$71bobo12bo\$72bo12bo\$52b2o2\$52b2o2\$53bo4\$52b2o2\$52b2o2\$53bo4\$52b2o2\$52b2o\$50bo\$49bo3bo\$50bo3\$51b3o4\$51bobo4\$51bobo\$49bobo\$50bo!`

Smallest version of gun:
`x = 22, y = 12, rule = B2an3ir4ei/S1c2ci3ci419bo\$20bo5\$bo12bo\$o12bobo\$bo8bo\$10bo\$10bo10bo\$20bo!`
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

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

Re: Soup search results in rules other than Conway's Life

Is this a record for smallest loggrow in terms of population? (predecessor, but yn
`x = 13, y = 5, rule = B2an3ir4ei/S1c2ci3ci4o3bo\$o3bo\$o3bo\$12bo\$11bo!`

testitemqlstudop

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Location: in catagolue

Re: Soup search results in rules other than Conway's Life

That's invalid because it uses an unbounded replicator, which has growth rate n^0.507 or something like that.
I like making rules
fluffykitty

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Re: Soup search results in rules other than Conway's Life

testitemqlstudop wrote:Is this a record for smallest loggrow in terms of population? (predecessor, but yn
`x = 13, y = 5, rule = B2an3ir4ei/S1c2ci3ci4o3bo\$o3bo\$o3bo\$12bo\$11bo!`

Smaller version, 5 cells instead of 8:
`x = 11, y = 5, rule = B2an3ir4ei/S1c2ci3ci4o\$o\$o\$10bo\$9bo!`
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

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Re: Soup search results in rules other than Conway's Life

danny wrote:
testitemqlstudop wrote:Is this a record for smallest loggrow in terms of population? (predecessor, but yn
`x = 13, y = 5, rule = B2an3ir4ei/S1c2ci3ci4o3bo\$o3bo\$o3bo\$12bo\$11bo!`

Smaller version, 5 cells instead of 8:
`x = 11, y = 5, rule = B2an3ir4ei/S1c2ci3ci4o\$o\$o\$10bo\$9bo!`

toroidalet found a 2-cell log-growth, I believe.
EDIT: http://www.conwaylife.com/forums/viewtopic.php?f=11&t=376&p=52616&hilit=binary#p52616
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: 1297
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

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