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Re: 2D Replicator Classes

PostPosted: September 25th, 2018, 9:46 pm
by jimmyChen2013
I would say this is a replicator
x = 6, y = 3, rule = B2i3-r4ceit5ce6-c7e8/S2-a3-cj4cet5cei6-i78
bo2bo$6o$bo2bo!



or breeder?
x = 10, y = 5, rule = B3ai4e5cei678/S2-ai34cet5ci678
2bo5b2o$b3o4b2o$5o2b3o$b3o4b2o$2bo5b2o!

Re: 2D Replicator Classes

PostPosted: September 29th, 2018, 1:18 am
by 77topaz
I'd go more with "breeder" than "replicator" for both of those, yes.

Re: 2D Replicator Classes

PostPosted: September 30th, 2018, 6:17 am
by 77topaz
I feel like people may have forgotten about this rule, with one of the weirdest replicators in Life-like CA:
x = 78, y = 3, rule = B36/S245
6o7b6o38b6o9b6o$o4bo7bo4bo38bo4bo9bo4bo$b4o9b4o40b4o11b4o!


Note that single half-replicator breaks, but a pair works the same at separation 7 and 9. They can even be offset in the other direction:
x = 12, y = 17, rule = B36/S245
9b2o$9bobo$9bobo$9bobo$9bobo$9b2o6$2o$obo$obo$obo$obo$2o!


Or with a time offset:
x = 17, y = 7, rule = B36/S245
b2o$b2o$o2bo8b4o$4o9b2o$11b6o$13b2o$13b2o!

Re: 2D Replicator Classes

PostPosted: October 1st, 2018, 6:48 am
by danny
That's not a 2d replicator though...

Re: 2D Replicator Classes

PostPosted: October 2nd, 2018, 7:34 am
by 77topaz
Okay, technically you're correct, but aren't linear replicators a subset of 2D replicators anyway? I think the regular ones like HighLife's replicator could even be considered their own class. Anyway, I thought this was a nice replicator whose unusual, difficult-to-classify behaviour might be of interest to this thread.

Re: 2D Replicator Classes

PostPosted: October 6th, 2018, 9:46 am
by wwei23
x = 3, y = 3, rule = B2cek5e8/S01e3y8
obo2$2bo!

Re: 2D Replicator Classes

PostPosted: October 6th, 2018, 9:54 am
by KittyTac
wwei23 wrote:
x = 3, y = 3, rule = B2cek5e8/S01e3y8
obo2$2bo!

Dirty. Creates a chaotic mess, but still expands at the edges using replication.

Re: 2D Replicator Classes

PostPosted: October 22nd, 2018, 8:34 am
by muzik
x = 3, y = 5, rule = B2e3aijkq4ac7c/S2-an3-a
bo$obo$3o$obo$bo!

Re: 2D Replicator Classes

PostPosted: November 1st, 2018, 9:25 am
by muzik
There are a few "Q-like" replicator classes that exist:

Q90edge,90diag:

x = 1, y = 1, rule = B1c/S
o!

x = 1, y = 1, rule = B1e/S
o!


Q90edge,150diag:

x = 1, y = 1, rule = B1c/S04c
o!


x = 1, y = 1, rule = B1e/S04e
o!


Q150edge,90diag:

x = 1, y = 1, rule = B13ci/S
o!


Q150edge,150diag:

x = 1, y = 1, rule = B13i/S08
o!


This one has an oddball diag value:

x = 1, y = 1, rule = B13i/S
o!


as does this:
x = 1, y = 1, rule = B13ai/S0
o!


Looks like rule 22:
x = 1, y = 1, rule = B13ci/S0
o!



Also, is there really any difference between class-S and class-Q9090 replicators? Skipping the right amount of generations on a class-S causes it to replicate exactly like a class-Q9090, so is there any need for a distinction?

Re: 2D Replicator Classes

PostPosted: November 2nd, 2018, 10:11 am
by muzik
Class U, does it match any of the other two?:
x = 3, y = 3, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
bo$3o$bo!

Re: 2D Replicator Classes

PostPosted: November 2nd, 2018, 9:35 pm
by PHPBB12345
muzik wrote:Class U, does it match any of the other two?:
x = 3, y = 3, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
bo$3o$bo!

Sone oscillators:
x = 91, y = 42, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
76b2o12$44b2o$62bo27bo$62bo12b3o12bo$26b2o$11b2o60bo5bo$b2o35bo11bo$
38bo4b3o4bo20bo9bo$3o5bob3o12b3o14bo3bo23bo11bo$8bo5bo7bo7bo13bo$11bo
2bo7bo7bo9bo7bo19bo15bo$2o65bo17bo$38bo2bo5bo2bo$10b2o26bo11bo14bo10bo
10bo$40bo7bo$25b2o17bo$42bo3bo15bo10bo5bo10bo$62bo27bo$43b2o$65bo10bo
10bo2$67bo17bo$68bo15bo$10b2o$23b2o3b2o40bo11bo$10b3o58bo9bo$7bo2bo3bo
5bo2bo$7bo2bo3bo5bob3o7bo40bo5bo$11bo11bo8bo2$10b2o11b2o3b2o45b2o!

Re: 2D Replicator Classes

PostPosted: November 3rd, 2018, 10:23 am
by PHPBB12345
P14:
x = 8, y = 7, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
3b2o$2o3$2b3o$6b2o$3b2o!

P156:
x = 68, y = 29, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
13b2o11b2o11b2o11b2o13$53bo13bo$o51b3o12bo$o52bo13$14b2o11b2o11b2o11b
2o!

Very big P52:
x = 83, y = 83, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
40b2o12$27bo27bo$27bo27bo13$41bo$12b2o26b3o26b2o$41bo12$27bo27bo26bo$o
25b3o25b3o25bo$o26bo27bo12$41bo$12b2o26b3o26b2o$41bo13$27bo27bo$27bo
27bo12$41b2o!

Re: 2D Replicator Classes

PostPosted: November 4th, 2018, 2:55 am
by Saka
I dont know if this counts, but it's cool anyway
x = 1, y = 1, rule = B1e2i4e/S
o!

Re: 2D Replicator Classes

PostPosted: November 6th, 2018, 7:18 am
by 77topaz
PHPBB12345 wrote:Sone oscillators:
x = 91, y = 42, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
76b2o12$44b2o$62bo27bo$62bo12b3o12bo$26b2o$11b2o60bo5bo$b2o35bo11bo$
38bo4b3o4bo20bo9bo$3o5bob3o12b3o14bo3bo23bo11bo$8bo5bo7bo7bo13bo$11bo
2bo7bo7bo9bo7bo19bo15bo$2o65bo17bo$38bo2bo5bo2bo$10b2o26bo11bo14bo10bo
10bo$40bo7bo$25b2o17bo$42bo3bo15bo10bo5bo10bo$62bo27bo$43b2o$65bo10bo
10bo2$67bo17bo$68bo15bo$10b2o$23b2o3b2o40bo11bo$10b3o58bo9bo$7bo2bo3bo
5bo2bo$7bo2bo3bo5bob3o7bo40bo5bo$11bo11bo8bo2$10b2o11b2o3b2o45b2o!


Found in the stable interior ash of an explosion:
x = 12, y = 12, rule = B3ai4ct5aj7c8/S1e2eik3ikry4i8
5b2o$8b2o2$3b3o$obo2bo$obo2bo4b2o$2b3obo$5bo3bo$5bo3bo$5b2o$8bo$8bo!

Re: 2D Replicator Classes

PostPosted: November 9th, 2018, 6:21 pm
by wwei23
It's failed, but it fails gracefully.
It doesn't leave behind chaos, only blocks.
As it does so, it creates a beautiful fractal pattern.
To understand sone more, you should see for yourself.
x = 3, y = 3, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8
bo$obo$bo!

It was isolated from the ash of this very-ungracefully-failed 1D replicator.
x = 4, y = 3, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8
b2o$o2bo$b2o!

Re: 2D Replicator Classes

PostPosted: November 9th, 2018, 9:13 pm
by Layz Boi
wwei23 wrote:B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8


Here's another replicator found in that ash. It also leaves behind a fractal pattern, but made of tiny oscillators.
x = 7, y = 7, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8
4.2A$6.A$4.2A$$A.A$A.A$.A$!


A clean 1D replicator.
x = 7, y = 7, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8
.2A6.2A$A2.A4.A2.A$.2A6.2A$!


A couple of oscillators.
x = 27, y = 22, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8
2A14.2A7.2A$2A13.A2.A6.2A$16.2A9.17$2.A.A$.A2.A$A.2A$!

Re: 2D Replicator Classes

PostPosted: November 10th, 2018, 7:08 am
by KittyTac
Layz Boi wrote:Here's another replicator found in that ash. It also leaves behind a fractal pattern, but made of tiny oscillators.
x = 7, y = 7, rule = B2e3eijky4acen5ijnqy6cn/S1c2ckn3acj4acejrz5ejy6i7e8
4.2A$6.A$4.2A$$A.A$A.A$.A$!


That's a Sierpinski Triangle. Easy to find in CA if you know where to look.

Re: 2D Replicator Classes

PostPosted: November 12th, 2018, 5:24 pm
by wwei23
NOT GRACEFUL
x = 3, y = 3, rule = B2en3-aek4nq5ce6ein8/S1c2cek3ijnqy4ekyz5ck6i8
bo$obo$bo!

Re: 2D Replicator Classes

PostPosted: December 3rd, 2018, 1:10 pm
by muzik
Centered 3-way
x = 1, y = 1, rule = MAPSACAAAAAAABIAAAAAAAAAKQAAAAAAAAAAAAAAAAAAABIAAAAAAAAAAAAIQAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!


7-way:
x = 1, y = 1, rule = MAPaYAAAIAAAABAgAAAAAAAAIAAAAAAAAAAgAAAAAAAAACEAAAACAAAAIAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
o!

Re: 2D Replicator Classes

PostPosted: December 18th, 2018, 4:45 pm
by Majestas32
77topaz wrote:I suppose a class A stops replicating and turns into another pattern, and a class D continues replicating at its outer edges but leaves behind chaos in its centre, but even the OP doesn't really make this distinction clear - the second posted class D looks like it could be class A. The first example class D suggests it's supposed to be a sort of "class F but messier".


I'd suggest class A is failed replicators that eventually become some sort of finite or linear-growth pattern, class D is failed repliators that expand infinitely with chaos penetrating near the center of the pattern for all time, and class F is class D but with the region of stability near the center expanding over time.

So wwei's first replicator on this page is class F and his second one is class D.

Re: 2D Replicator Classes

PostPosted: December 26th, 2018, 10:56 pm
by Saka
An oblique replicator
x = 4, y = 3, rule = B3ai4a5/S234a
bo$obo$ob2o!

Re: 2D Replicator Classes

PostPosted: December 27th, 2018, 6:36 pm
by toroidalet
Is this replicator a D or U?
x = 3, y = 3, rule = B3aijnq7c/S23-ckq
o$o$3o!

Re: 2D Replicator Classes

PostPosted: December 29th, 2018, 5:22 pm
by 77topaz
toroidalet wrote:Is this replicator a D or U?
x = 3, y = 3, rule = B3aijnq7c/S23-ckq
o$o$3o!


I'd consider that a class U. It's not as messy as the class D examples, as the interior has a clear structure - the replicators and blocks actually seem to be simulating another cellular automaton!

Re: 2D Replicator Classes

PostPosted: December 30th, 2018, 8:59 pm
by toroidalet
I made a p40 glider gun in the above rule (EDIT: smaller):
x = 18, y = 31, rule = B3aijnq7c/S23-ckq
6bob2o$6b2obo2$2o$bo$o$2o14b2o$16bo$17bo$16b2o$6b3o$6bobo$6b2o6$14bo$
2b3o8bobo$4bo9bo$4bo8$8bob2o$8b2obo!


It's fun to enclose a replicator in snakes and watch it evolve and it reminds me of extinction turmites:
x = 74, y = 54, rule = B3aijnq7c/S23-ckq
52b2o$52bo$53bo$52b2o13$36b2o$36bo$37bo$36b2o$70b2obo$70bob2o3$4b2o6b
2o6b2o6b2o36bob2o$4bo7bo7bo7bo37b2obo$5bo7bo7bo7bo$4b2o6b2o6b2o6b2o6$
19bo$19bo$17b3o$62b2obo$62bob2o5$2o6b2o6b2o6b2o6b2o6b2o$bo7bo7bo7bo7bo
7bo$o7bo7bo7bo7bo7bo21b2obo$2o6b2o6b2o6b2o6b2o6b2o20bob2o5$48b2o$49bo$
48bo$48b2o!


I also found a turner for a pair of replicator signals (separated by 40 generations), but I lost it.

But that's a digression from the topic of collecting miscellaneous (wow, I typed that word right!) replicators. To reconcile that, here is a funky class-R replicator which is also a failed replicator (see generations 12,13, 24, and 25):
x = 4, y = 2, rule = B2ce3aky4acer5jknry6-ac7c8/S2-cn3-cinq4ceikr5-anry6-ck
ob2o$4o!

(It is funky because the copies are not in sync with each other and if you zoom out and simulate it then you can see cool patterns right as everything starts to die)
I don't think it's even a sawtooth.

Re: 2D Replicator Classes

PostPosted: January 1st, 2019, 5:20 am
by danny
2c/18 ship in that rule:
x = 9, y = 5, rule = B2ce3aky4acer5jknry6-ac7c8/S2-cn3-cinq4ceikr5-anry6-ck
2bo$2ob2ob3o$2ob2o2b2o2$7bo!