Rules with interesting replicators

For discussion of other cellular automata.

Re: Rules with interesting replicators

GUYTU6J wrote:
`x = 3, y = 3, rule = B34irwy/S23aciqy3o\$obo\$3o!`

A stable failed 2D replicator leaving blobs

p92:
`x = 35, y = 35, rule = B34irwy/S23aciqybo4b3o\$bo4bobo23b3o\$bo4b3o4\$32b3o\$32bobo\$32b3o18\$3o\$obo\$3o4\$26b3o4bo\$3o23bobo4bo\$26b3o4bo!`

p184:
`x = 34, y = 34, rule = B34irwy/S23aciqy27bo\$27bo\$27bo3\$7bo\$7bo\$3o3bobo\$7bo\$7bo5\$6bobo12\$26b3o4bo\$26bobo4bo\$26b3o4bo5\$6b3o!`
`x = 5, y = 5, rule = B3-y/S234w2b3o\$bo\$o3bo\$o2bo\$obo!`

FWKnightship

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Re: Rules with interesting replicators

Failed replicator turned dot puffer:
`x = 3, y = 8, rule = B2-an3aciy4cr5i6c/S05iobo2\$obo3\$obo2\$obo!`
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

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Location: r cis θ

Re: Rules with interesting replicators

Rule where the pi is a faildrep:
`x = 3, y = 3, rule = B35n/S234k3o\$obo\$obo!`
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.
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Βεν Γ. Κυθισ

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Re: Rules with interesting replicators

Βεν Γ. Κυθισ wrote:Rule where the pi is a faildrep:
`x = 3, y = 3, rule = B35n/S234k3o\$obo\$obo!`

Heyyyyyyyy y y y ! I discovered this one before!
I like making color palettes for rules

Gustone

Posts: 418
Joined: March 6th, 2019, 2:26 am

Re: Rules with interesting replicators

2718281828 wrote:This is quite fun - a 'replicator gun' (but no saw-tooth)
`x = 3, y = 2, rule = B2-a3ckq4ektwyz5-in6-i7e8/S1c3cijnr4ejrw5eq6aibo\$obo!`

I think that's the first replicator that only replicates in a single direction.
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: 1289
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Rules with interesting replicators

Hdjensofjfnen wrote:
2718281828 wrote:This is quite fun - a 'replicator gun' (but no saw-tooth)
`x = 3, y = 2, rule = B2-a3ckq4ektwyz5-in6-i7e8/S1c3cijnr4ejrw5eq6aibo\$obo!`

I think that's the first replicator that only replicates in a single direction.

But this one is smaller
Oddity:
`x = 49, y = 35, rule = B2-a3ckq4ektwyz5-in6-i7e8/S1c3cijnr4ejrw5eq6aibo\$obo31\$45bo\$46bobo\$45bo!`

Oddity2:
`x = 9, y = 18, rule = B2-a3ckq4ektwyz5-in6-i7e8/S1c3cijnr4ejrw5eq6ai7bo2\$7bo\$6bobo13\$bo\$obo!`

EDIT:
Unrelated rule, weird breeder:
`x = 3, y = 4, rule = B34ety/S23-a4i6c2bo\$b2o\$2o\$b2o!`

Relative:
`x = 3, y = 4, rule = B34ety/S23-a4i6c8o\$2o\$b2o\$2o!`

Relative of first rule has growing ship:
`x = 3, y = 4, rule = B34ety/S23-a4i6cno\$2o\$b2o\$2o!`

Ship?

EDIT:
Failed sierpinski builder:
`x = 3, y = 4, rule = B34ety/S23-a4iy6cn2bo\$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

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Re: Rules with interesting replicators

All orthogonal lines are a replicator in B2ace3acei4ace5acei6ace/S.
viewtopic.php?f=11&t=4087&p=81297#p81297

phdanielli

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Re: Rules with interesting replicators

wierd
`x = 1, y = 1, rule = B1e2i4e/So!`

p3
`x = 1, y = 1, rule = B1e2i4e/S2co!`
Last edited by Gustone on August 16th, 2019, 9:08 am, edited 1 time in total.
I like making color palettes for rules

Gustone

Posts: 418
Joined: March 6th, 2019, 2:26 am

Re: Rules with interesting replicators

phdanielli wrote:All orthogonal lines are a replicator in B2ace3acei4ace5acei6ace/S.
viewtopic.php?f=11&t=4087&p=81297#p81297

So is every orthogonal line as well in rules B2a3i/S to B2aeikn34acejknqrtwyz56acekn78/S01c2acekn345678 (B2-c34-i56-i78/S01c2-i345678).

Also, every pattern in B1357/S1357 is a replicator, and B13/S13V, B135/S135H.

My point is, I wouldnt call that "interesting".
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

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Re: Rules with interesting replicators

It's a map rule so I guess it isn't terribly interesting, but the behavior nonetheless caught my eye-- an oblique, dirty, forerake-replicator:
`x = 5, y = 5, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oaIDogGiA6ICAAIAAaICatIAAg20IAmSocrates2bo\$bobo\$o3bo\$o3bo\$b3o!`

Based on everybody's favorite MAP rule
Btw this relative has some superluminal-looking fun:
`x = 3, y = 5, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaICatIAAg20IAmSocrates3o\$3o\$o2\$o!`

Explosions are slightly more northbound:
`x = 4, y = 3, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaICatIAAg20IAmSocratesb2o\$o2bo\$4o!`

There's some failedrep behavior there with something.
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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Re: Rules with interesting replicators

Mildly interesting - this linear replicator creates and modifies a block track:
`x = 14, y = 3, rule = B34cekrtwy5ajknq6kn7/S23-cjn4cenyz5ckry6eiobo8bobo\$o2bo6bo2bo\$obo8bobo!`

In another rule, the replicator can pull a pair of loaf without replicating it:
`x = 19, y = 21, rule = B3-c4cerwy5a7/S23aiqry16b2o\$15bo2bo\$16bobo\$17bo6\$b2o8b2o\$3o8b3o\$b2o8b2o6\$17bo\$16bobo\$15bo2bo\$16b2o!`

EDIT: This engine for a 2D failed replicator
`x = 11, y = 17, rule = B34-ainqz5-ceiy6-c7/S23-cjn4cenqyz5ckry6ei2bo\$b3o\$5o4\$2bo5bo\$bobo4b2o\$o3bo3b3o\$bobo4b2o\$2bo5bo4\$5o\$b3o\$2bo!`
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.

GUYTU6J

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Re: Rules with interesting replicators

GUYTU6J wrote:Mildly interesting - this linear replicator creates and modifies a block track:
`x = 14, y = 3, rule = B34cekrtwy5ajknq6kn7/S23-cjn4cenyz5ckry6eiobo8bobo\$o2bo6bo2bo\$obo8bobo!`

Simpler rules support stuff like that:
`x = 2, y = 3, rule = B2ce4y/S1bo\$o\$bo!`

`x = 2, y = 3, rule = B2ce4y5k/S1bo\$o\$bo!`

`x = 32, y = 38, rule = B2ce4y5k/S121bo\$20bobo4\$19bo3bo\$18bo5bo\$19bo3bo3\$19bo3bo\$18bo5bo\$19bo3bo4\$11bo8bobo8bo\$11bo9bo9bo3\$bo9bo9bo9bo\$obo8bo8bobo8bo4\$19bo3bo\$18bo5bo\$19bo3bo3\$19bo3bo\$18bo5bo\$19bo3bo4\$20bobo\$21bo!`
Last edited by Moosey on August 19th, 2019, 4:33 pm, edited 2 times 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?"

Moosey

Posts: 2307
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

Re: Rules with interesting replicators

It's Sierpinski time!
`x = 3, y = 3, rule = B3-cqy/S2-n3-cqy4qw5i2o\$b2o\$2bo!`

EDIT: Also this 12c/30, which is the true reason I found this rule:
`x = 7, y = 20, rule = B3-cqy/S2-n3-cqy4qw5ib2ob2o\$b2ob2o4\$2o3b2o\$2o3b2o4\$2b3o\$2b3o7\$2b3o\$2b3o!`
Last edited by Hdjensofjfnen on August 19th, 2019, 4:38 pm, edited 1 time in total.
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: 1289
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Rules with interesting replicators

Hdjensofjfnen wrote:It's Sierpinski time!
`x = 3, y = 3, rule = B3-cqy/S2-n3-cqy4qw5i2o\$b2o\$2bo!`

There's another failedrep which becomes two copies of this ship and two blinkers:
`x = 19, y = 7, rule = B3-cqy/S2-n3-cqy4qw5i12b2o\$b2o2b2o5b2o3b2o\$b2o2b2o10b2o\$o6bo\$b2o2b2o10b2o\$b2o2b2o5b2o3b2o\$12b2o!`

`x = 2, y = 94, rule = B3-cqy/S2-n3-cqy4qw5i2o\$2o\$2o4\$2o\$2o\$2o15\$2o\$2o\$2o5\$2o\$2o\$2o17\$2o\$2o\$2o6\$2o\$2o\$2o23\$2o\$2o\$2o7\$2o\$2o\$2o!`

Dirty rake:
`x = 26, y = 19, rule = B3-cqy/S2-n3-cqy4qw5i18bo\$17b3o\$17bobo\$8b2o2b2o3bo6b2o\$bo2bo3b2o2b2o4b2o4b2o\$bo2bo15bo\$bo2bo3b2o2b2o4b2o4b2o\$8b2o2b2o3bo6b2o\$18b2o\$15bob3o\$14bo\$15b2o3b2o\$20b2o\$6o2b6o\$20b2o\$15b2o3b2o\$15b2o\$24b2o\$24b2o!`

Clean G rake:
`x = 48, y = 32, rule = B3-cqy/S2-n3-cqy4qw5i17bo\$15b2obo\$bobo2b2o2b2o2b2o2bo3b2o\$bobo2b2o2b2o2b2o6b2o\$o15bo\$bobo2b2o2b2o2b2o6b2o17bo\$bobo2b2o2b2o2b2o2bo3b2o17b2o\$15b2obo21bobo\$17bo4\$13b2o2b2o\$7b2o4b2o2b2o4b2o\$7b2o12bobo\$7b2o4b2o2b2o2b3o\$13b2o2b2o5bo\$21b2o2bo15b2o\$23b2o16b2o\$44bo\$43bo2b2o\$43bobobo\$31b2o\$24bo6b2o\$22b2obo12bobo\$8bobo2b2o2b2o2b2o2bo3b2o9bo\$8bobo2b2o2b2o2b2o6b2o7b2o\$7bo15bo16bo\$8bobo2b2o2b2o2b2o6b2o8b2o\$8bobo2b2o2b2o2b2o2bo3b2o8bobo\$22b2obo14b2o\$24bo15b2o!`
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: 2307
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

Re: Rules with interesting replicators

Ah. Well, the failedrep can be hassled:
`x = 22, y = 16, rule = B3-cqy/S2-n3-cqy4qw5i13bo\$7b2o4bo\$7b2o4bo2bo\$17bo\$17bo3\$17bo\$3b3o11bo\$17bo\$17bo\$3b3o11bo\$17bo\$2o19bo\$2o19bo\$21bo!`

EDIT: Adding S7c preserves the ship and makes the oblique Sierpinski generator a failed replicator instead:
`x = 3, y = 3, rule = B3-cqy/S2-n3-cqy4qw5i7co\$2o\$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: 1289
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

Re: Rules with interesting replicators

GUYTU6J wrote:...
In another rule, the replicator can pull a pair of loaf without replicating it:
`x = 19, y = 21, rule = B3-c4cerwy5a7/S23aiqry16b2o\$15bo2bo\$16bobo\$17bo6\$b2o8b2o\$3o8b3o\$b2o8b2o6\$17bo\$16bobo\$15bo2bo\$16b2o!`

...

Probably the replicator head can be corderized. Failed attempts' results - a puffer:
`x = 73, y = 29, rule = B3-c4cerwy5a7/S23aiqry53bo\$52b3o\$51b5o\$56bo\$38b2o17bo\$37bo2bo16b2o\$38b2o9b2o6b3o\$50bo6b2o\$31b2o24bo8bo\$31b2o32b3o\$o25b2o29bo6b5o\$o25b3o26bo2bo4bo5bo\$o21bo4b4ob2o13b5o4b3o11bo\$15bo5b2o6b2o3bo11bo5bo3b3o11b2o\$13b2ob2o2bobo8bo2bo10bo7bo2b3o11b3o\$15bo5b2o6b2o3bo11bo5bo3b3o11b2o\$o21bo4b4ob2o13b5o4b3o11bo\$o25b3o26bo2bo4bo5bo\$o25b2o29bo6b5o\$31b2o32b3o\$31b2o24bo8bo\$50bo6b2o\$38b2o9b2o6b3o\$37bo2bo16b2o\$38b2o17bo\$56bo\$51b5o\$52b3o\$53bo!`

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Re: Rules with interesting replicators

a tihng
`x = 8, y = 21, rule = B3aeijk4aejkqtw/S23-a4i2bo3bo\$b2o2b3o\$3ob2obo\$b2o\$2bo12\$2bo\$b2o\$3ob2obo\$b2o2b3o\$2bo3bo!`

it's from the skewgutter rulespace
`x = 9, y = 21, rule = B3aeijk4aejkqtw/S23-a4i2bo3bo\$b2o2b3o\$3ob2obo\$b2o\$2bo12\$3bo\$2b2o\$b3ob2obo\$2b2o2b3o\$3bo3bo!`

`x = 10, y = 21, rule = B3aeijk4aejkqtw/S23-a4i2bo3bo\$b2o2b3o\$3ob2obo\$b2o\$2bo12\$4bo\$3b2o\$2b3ob2obo\$3b2o2b3o\$4bo3bo!`
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Gustone

Posts: 418
Joined: March 6th, 2019, 2:26 am

Re: Rules with interesting replicators

Also generates a loggun-type sequence, in the weirdest way. otherwise a typical xor-rep but I think the log mechanism is interesting.
`x = 3, y = 9, rule = B2n3/S23-a4i5a2bo\$b2o\$2o\$b2o2\$b2o\$2o\$b2o\$2bo!`

EDIT:
the history pattern is really cool too

EDIT: in the very first rule in this thread, here's a pattern producing a ship (12c/36 I think) and a growing ship:
`x = 5, y = 10, rule = B2cei3ay4qt5ac6a7e/S1c2-n3enr4r5ij6aci8bo\$b4o\$3bo\$2b3o3\$o\$4o\$2bo\$b3o!`

Ship in rectified relative:
`x = 25, y = 10, rule = B2cei3ay4eqt5ac6a7e/S1c2-n3enr4r5ij6aci84bo10bo\$b3o2bo8b4o\$bo3bo11bo\$b6o9b3o3b3o\$22bobo2\$3bo19bo\$3o2bo7bo\$o3bo10bo\$6o!`
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: 2307
Joined: January 27th, 2019, 5:54 pm
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