Rules with interesting replicators

For discussion of other cellular automata.
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FWKnightship
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Re: Rules with interesting replicators

Post by FWKnightship » August 13th, 2019, 1:15 am

GUYTU6J wrote:

Code: Select all

x = 3, y = 3, rule = B34irwy/S23aciqy
3o$obo$3o!
A stable failed 2D replicator leaving blobs
p92:

Code: Select all

x = 35, y = 35, rule = B34irwy/S23aciqy
bo4b3o$bo4bobo23b3o$bo4b3o4$32b3o$32bobo$32b3o18$3o$obo$3o4$26b3o4bo$
3o23bobo4bo$26b3o4bo!
p184:

Code: Select all

x = 34, y = 34, rule = B34irwy/S23aciqy
27bo$27bo$27bo3$7bo$7bo$3o3bobo$7bo$7bo5$6bobo12$26b3o4bo$26bobo4bo$
26b3o4bo5$6b3o!
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
AttributeError: 'FWKnightship' object has no attribute 'signature'

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Re: Rules with interesting replicators

Post by Hdjensofjfnen » August 14th, 2019, 9:20 pm

Failed replicator turned dot puffer:

Code: Select all

x = 3, y = 8, rule = B2-an3aciy4cr5i6c/S05i
obo2$obo3$obo2$obo!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Re: Rules with interesting replicators

Post by Βεν Γ. Κυθισ » August 15th, 2019, 3:01 pm

Rule where the pi is a faildrep:

Code: Select all

x = 3, y = 3, rule = B35n/S234k
3o$obo$obo!
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Re: Rules with interesting replicators

Post by Gustone » August 15th, 2019, 4:26 pm

Βεν Γ. Κυθισ wrote:Rule where the pi is a faildrep:

Code: Select all

x = 3, y = 3, rule = B35n/S234k
3o$obo$obo!
Heyyyyyyyy y y y ! I discovered this one before!

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Re: Rules with interesting replicators

Post by Hdjensofjfnen » August 15th, 2019, 5:02 pm

2718281828 wrote:This is quite fun - a 'replicator gun' (but no saw-tooth)

Code: Select all

x = 3, y = 2, rule = B2-a3ckq4ektwyz5-in6-i7e8/S1c3cijnr4ejrw5eq6ai
bo$obo!
I think that's the first replicator that only replicates in a single direction.

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Re: Rules with interesting replicators

Post by Moosey » August 15th, 2019, 6:17 pm

Hdjensofjfnen wrote:
2718281828 wrote:This is quite fun - a 'replicator gun' (but no saw-tooth)

Code: Select all

x = 3, y = 2, rule = B2-a3ckq4ektwyz5-in6-i7e8/S1c3cijnr4ejrw5eq6ai
bo$obo!
I think that's the first replicator that only replicates in a single direction.
No, Dani made one too
But this one is smaller
Oddity:

Code: Select all

x = 49, y = 35, rule = B2-a3ckq4ektwyz5-in6-i7e8/S1c3cijnr4ejrw5eq6ai
bo$obo31$45bo$46bobo$45bo!
Oddity2:

Code: Select all

x = 9, y = 18, rule = B2-a3ckq4ektwyz5-in6-i7e8/S1c3cijnr4ejrw5eq6ai
7bo2$7bo$6bobo13$bo$obo!

EDIT:
Unrelated rule, weird breeder:

Code: Select all

x = 3, y = 4, rule = B34ety/S23-a4i6c
2bo$b2o$2o$b2o!
Relative:

Code: Select all

x = 3, y = 4, rule = B34ety/S23-a4i6c8
o$2o$b2o$2o!
Relative of first rule has growing ship:

Code: Select all

x = 3, y = 4, rule = B34ety/S23-a4i6cn
o$2o$b2o$2o!
Ship?

EDIT:
Failed sierpinski builder:

Code: Select all

x = 3, y = 4, rule = B34ety/S23-a4iy6cn
2bo$b2o$2o$b2o!
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Re: Rules with interesting replicators

Post by phdanielli » August 15th, 2019, 11:31 pm

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

Post by Gustone » August 16th, 2019, 8:31 am

wierd

Code: Select all

x = 1, y = 1, rule = B1e2i4e/S
o!
p3

Code: Select all

x = 1, y = 1, rule = B1e2i4e/S2c
o!
Last edited by Gustone on August 16th, 2019, 9:08 am, edited 1 time in total.

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Re: Rules with interesting replicators

Post by Saka » August 16th, 2019, 8:38 am

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".

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Re: Rules with interesting replicators

Post by Moosey » August 17th, 2019, 2:40 pm

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:

Code: Select all

x = 5, y = 5, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oaIDogGiA6ICAAIAAaICatIAAg20IAmSocrates
2bo$bobo$o3bo$o3bo$b3o!
Based on everybody's favorite MAP rule
Btw this relative has some superluminal-looking fun:

Code: Select all

x = 3, y = 5, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaICatIAAg20IAmSocrates
3o$3o$o2$o!
Explosions are slightly more northbound:

Code: Select all

x = 4, y = 3, rule = MAPARYXfhZofugWaH7oaIDogBZofuhogOiAaIDogIAAgAAWaH7oiIDogGiA6ICAAIAAaICatIAAg20IAmSocrates
b2o$o2bo$4o!
There's some failedrep behavior there with something.
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Re: Rules with interesting replicators

Post by GUYTU6J » August 19th, 2019, 10:36 am

Mildly interesting - this linear replicator creates and modifies a block track:

Code: Select all

x = 14, y = 3, rule = B34cekrtwy5ajknq6kn7/S23-cjn4cenyz5ckry6ei
obo8bobo$o2bo6bo2bo$obo8bobo!
In another rule, the replicator can pull a pair of loaf without replicating it:

Code: Select all

x = 19, y = 21, rule = B3-c4cerwy5a7/S23aiqry
16b2o$15bo2bo$16bobo$17bo6$b2o8b2o$3o8b3o$b2o8b2o6$17bo$16bobo$15bo2bo
$16b2o!
EDIT: This engine for a 2D failed replicator

Code: Select all

x = 11, y = 17, rule = B34-ainqz5-ceiy6-c7/S23-cjn4cenqyz5ckry6ei
2bo$b3o$5o4$2bo5bo$bobo4b2o$o3bo3b3o$bobo4b2o$2bo5bo4$5o$b3o$2bo!

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Re: Rules with interesting replicators

Post by Moosey » August 19th, 2019, 4:19 pm

GUYTU6J wrote:Mildly interesting - this linear replicator creates and modifies a block track:

Code: Select all

x = 14, y = 3, rule = B34cekrtwy5ajknq6kn7/S23-cjn4cenyz5ckry6ei
obo8bobo$o2bo6bo2bo$obo8bobo!
Simpler rules support stuff like that:

Code: Select all

x = 2, y = 3, rule = B2ce4y/S1
bo$o$bo!

Code: Select all

x = 2, y = 3, rule = B2ce4y5k/S1
bo$o$bo!

Code: Select all

x = 32, y = 38, rule = B2ce4y5k/S1
21bo$20bobo4$19bo3bo$18bo5bo$19bo3bo3$19bo3bo$18bo5bo$19bo3bo4$11bo8bo
bo8bo$11bo9bo9bo3$bo9bo9bo9bo$obo8bo8bobo8bo4$19bo3bo$18bo5bo$19bo3bo
3$19bo3bo$18bo5bo$19bo3bo4$20bobo$21bo!
Last edited by Moosey on August 19th, 2019, 4:33 pm, edited 2 times in total.
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Re: Rules with interesting replicators

Post by Hdjensofjfnen » August 19th, 2019, 4:26 pm

It's Sierpinski time!

Code: Select all

x = 3, y = 3, rule = B3-cqy/S2-n3-cqy4qw5i
2o$b2o$2bo!
EDIT: Also this 12c/30, which is the true reason I found this rule:

Code: Select all

x = 7, y = 20, rule = B3-cqy/S2-n3-cqy4qw5i
b2ob2o$b2ob2o4$2o3b2o$2o3b2o4$2b3o$2b3o7$2b3o$2b3o!
Last edited by Hdjensofjfnen on August 19th, 2019, 4:38 pm, edited 1 time in total.

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Re: Rules with interesting replicators

Post by Moosey » August 19th, 2019, 4:33 pm

Hdjensofjfnen wrote:It's Sierpinski time!

Code: Select all

x = 3, y = 3, rule = B3-cqy/S2-n3-cqy4qw5i
2o$b2o$2bo!
There's another failedrep which becomes two copies of this ship and two blinkers:

Code: Select all

x = 19, y = 7, rule = B3-cqy/S2-n3-cqy4qw5i
12b2o$b2o2b2o5b2o3b2o$b2o2b2o10b2o$o6bo$b2o2b2o10b2o$b2o2b2o5b2o3b2o$
12b2o!

Code: Select all

x = 2, y = 94, rule = B3-cqy/S2-n3-cqy4qw5i
2o$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:

Code: Select all

x = 26, y = 19, rule = B3-cqy/S2-n3-cqy4qw5i
18bo$17b3o$17bobo$8b2o2b2o3bo6b2o$bo2bo3b2o2b2o4b2o4b2o$bo2bo15bo$bo2b
o3b2o2b2o4b2o4b2o$8b2o2b2o3bo6b2o$18b2o$15bob3o$14bo$15b2o3b2o$20b2o$
6o2b6o$20b2o$15b2o3b2o$15b2o$24b2o$24b2o!
Clean G rake:

Code: Select all

x = 48, y = 32, rule = B3-cqy/S2-n3-cqy4qw5i
17bo$15b2obo$bobo2b2o2b2o2b2o2bo3b2o$bobo2b2o2b2o2b2o6b2o$o15bo$bobo2b
2o2b2o2b2o6b2o17bo$bobo2b2o2b2o2b2o2bo3b2o17b2o$15b2obo21bobo$17bo4$
13b2o2b2o$7b2o4b2o2b2o4b2o$7b2o12bobo$7b2o4b2o2b2o2b3o$13b2o2b2o5bo$
21b2o2bo15b2o$23b2o16b2o$44bo$43bo2b2o$43bobobo$31b2o$24bo6b2o$22b2obo
12bobo$8bobo2b2o2b2o2b2o2bo3b2o9bo$8bobo2b2o2b2o2b2o6b2o7b2o$7bo15bo
16bo$8bobo2b2o2b2o2b2o6b2o8b2o$8bobo2b2o2b2o2b2o2bo3b2o8bobo$22b2obo
14b2o$24bo15b2o!
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Re: Rules with interesting replicators

Post by Hdjensofjfnen » August 19th, 2019, 4:41 pm

Ah. Well, the failedrep can be hassled:

Code: Select all

x = 22, y = 16, rule = B3-cqy/S2-n3-cqy4qw5i
13bo$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:

Code: Select all

x = 3, y = 3, rule = B3-cqy/S2-n3-cqy4qw5i7c
o$2o$b2o!

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Re: Rules with interesting replicators

Post by Naszvadi » August 20th, 2019, 12:38 pm

GUYTU6J wrote:...
In another rule, the replicator can pull a pair of loaf without replicating it:

Code: Select all

x = 19, y = 21, rule = B3-c4cerwy5a7/S23aiqry
16b2o$15bo2bo$16bobo$17bo6$b2o8b2o$3o8b3o$b2o8b2o6$17bo$16bobo$15bo2bo
$16b2o!
...
Probably the replicator head can be corderized. Failed attempts' results - a puffer:

Code: Select all

x = 73, y = 29, rule = B3-c4cerwy5a7/S23aiqry
53bo$52b3o$51b5o$56bo$38b2o17bo$37bo2bo16b2o$38b2o9b2o6b3o$50bo6b2o$
31b2o24bo8bo$31b2o32b3o$o25b2o29bo6b5o$o25b3o26bo2bo4bo5bo$o21bo4b4ob
2o13b5o4b3o11bo$15bo5b2o6b2o3bo11bo5bo3b3o11b2o$13b2ob2o2bobo8bo2bo10b
o7bo2b3o11b3o$15bo5b2o6b2o3bo11bo5bo3b3o11b2o$o21bo4b4ob2o13b5o4b3o11b
o$o25b3o26bo2bo4bo5bo$o25b2o29bo6b5o$31b2o32b3o$31b2o24bo8bo$50bo6b2o$
38b2o9b2o6b3o$37bo2bo16b2o$38b2o17bo$56bo$51b5o$52b3o$53bo!

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Re: Rules with interesting replicators

Post by Gustone » August 20th, 2019, 2:18 pm

a tihng

Code: Select all

x = 8, y = 21, rule = B3aeijk4aejkqtw/S23-a4i
2bo3bo$b2o2b3o$3ob2obo$b2o$2bo12$2bo$b2o$3ob2obo$b2o2b3o$2bo3bo!
it's from the skewgutter rulespace

Code: Select all

x = 9, y = 21, rule = B3aeijk4aejkqtw/S23-a4i
2bo3bo$b2o2b3o$3ob2obo$b2o$2bo12$3bo$2b2o$b3ob2obo$2b2o2b3o$3bo3bo!

Code: Select all

x = 10, y = 21, rule = B3aeijk4aejkqtw/S23-a4i
2bo3bo$b2o2b3o$3ob2obo$b2o$2bo12$4bo$3b2o$2b3ob2obo$3b2o2b3o$4bo3bo!

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Re: Rules with interesting replicators

Post by Moosey » August 31st, 2019, 1:09 pm

Also generates a loggun-type sequence, in the weirdest way. otherwise a typical xor-rep but I think the log mechanism is interesting.

Code: Select all

x = 3, y = 9, rule = B2n3/S23-a4i5a
2bo$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:

Code: Select all

x = 5, y = 10, rule = B2cei3ay4qt5ac6a7e/S1c2-n3enr4r5ij6aci8
bo$b4o$3bo$2b3o3$o$4o$2bo$b3o!
Ship in rectified relative:

Code: Select all

x = 25, y = 10, rule = B2cei3ay4eqt5ac6a7e/S1c2-n3enr4r5ij6aci8
4bo10bo$b3o2bo8b4o$bo3bo11bo$b6o9b3o3b3o$22bobo2$3bo19bo$3o2bo7bo$o3bo
10bo$6o!
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Re: Rules with interesting replicators

Post by GUYTU6J » October 2nd, 2019, 8:17 am

Moving space-filling rhombic quadratic B-heptaplet replicator:

Code: Select all

x = 5, y = 3, rule = B3/S2-in3-ace4ikqz
2bo$b3o$2o2bo!
Sierpinski generator?

Code: Select all

x = 9, y = 3, rule = B2ek3-kq4wz/S23-aeny4eikr
o7bo$bo5bo$o7bo!

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Re: Rules with interesting replicators

Post by FWKnightship » October 3rd, 2019, 1:53 am

GUYTU6J wrote:
October 2nd, 2019, 8:17 am
Moving space-filling rhombic quadratic B-heptaplet replicator:

Code: Select all

x = 5, y = 3, rule = B3/S2-in3-ace4ikqz
2bo$b3o$2o2bo!
9c/18,25c/50:

Code: Select all

x = 37, y = 7, rule = B3/S2-in3-ace4ikqz
2bo3bo15bo3bo3bo3bo$b3ob3o13b3ob3ob3ob3o$o2bobo2bo12bobobobobobobobo$
3o3b3o11bo2bo9bo2bo$20bo3bo7bo3bo$20bo2bo9bo2bo$22b3o7b3o!
P302 9c/18 gun:

Code: Select all

x = 159, y = 51, rule = B3/S2-in3-ace4ikqz
b3o$o3bo21bo76bo$5o21b3o72b3o$29bo70bo$28b2o70b2o4$22b2o82b2o$22bo84bo
22b3ob3o$6bo2bobo8bobo84bobo21b2ob2o$8bo6b2o3b2o86b2o15b3o3bo3bo3b3o$
4bo9b2obo107bo2b2o7b2o2bo$5bo8bo2bo107b2o13b2o$9bo3b2ob2o110b3o5b3o$6b
o7b2o113b2o5b2o$7b3o45b2o$53b2o2bo19b2o$53b2o2b2o17bob2o72b3o$50b2obo
3bob2o15bo3bo70bo3bo$50bo5bo3bo16bo2bo70b2ob2o$52bo8b2o13bo3bo69bo6bo$
47b2o8b2o3bo13bob2o70bo4bo2bo$46b2o11bo2bo14b2o60bobo7bo2bo2bo2bo$47b
2o10b3o77b3o7b3o4b3o2$47b2o10b3o77b3o7b3o4b3o$46b2o11bo2bo14b2o60bobo
7bo2bo2bo2bo$47b2o8b2o3bo13bob2o70bo4bo2bo$52bo8b2o13bo3bo69bo6bo$50bo
5bo3bo16bo2bo70b2ob2o$50b2obo3bob2o15bo3bo70bo3bo$53b2o2b2o17bob2o72b
3o$53b2o2bo19b2o$7b3o45b2o$6bo7b2o113b2o5b2o$9bo3b2ob2o110b3o5b3o$5bo
8bo2bo107b2o13b2o$4bo9b2obo107bo2b2o7b2o2bo$8bo6b2o3b2o86b2o15b3o3bo3b
o3b3o$6bo2bobo8bobo84bobo21b2ob2o$22bo84bo22b3ob3o$22b2o82b2o4$28b2o
70b2o$29bo70bo$5o21b3o72b3o$o3bo21bo76bo$b3o!
12-engine 46c/212d spaceship:

Code: Select all

x = 220, y = 220, rule = B3/S2-in3-ace4ikqz
4b3o$4bo2bo$2b2o2b2o$2bo$2b2o3b4o$4b4o4$9b3o25$3bo$2b3o$bo2b2o$bob2o$o
$3o19$60bo$60bo4bo$60bo4bo$65bo$64b2ob2o$64bo2bobo$64bo4bo$64bo3b2o$
65bobo$65b3o7$43bo$42b3o$42bob2o34b3o$40bo3bo35bo2bo$40bob2o34b2o2b2o$
40b2o36bo$78b2o3b4o$80b4o4$85b3o19$73bo$72b3o$71bo2b2o$71bob2o$70bo$
70b3o23$134bo$134bo4bo$134bo4bo$139bo$138b2ob2o$138bo2bobo$138bo4bo$
138bo3b2o$139bobo$139b3o3$113bo$112b3o$112bob2o$110bo3bo$110bob2o$110b
2o$154b3o$154bo2bo$152b2o2b2o$152bo$152b2o3b4o$154b4o4$159b3o15$143bo$
142b3o$141bo2b2o$141bob2o$140bo$140b3o29$210bo$210bo4bo$210bo4bo$215bo
$214b2ob2o$214bo2bobo$183bo30bo4bo$182b3o29bo3b2o$182bob2o29bobo$180bo
3bo30b3o$180bob2o$180b2o!
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
AttributeError: 'FWKnightship' object has no attribute 'signature'

User avatar
toroidalet
Posts: 1514
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Re: Rules with interesting replicators

Post by toroidalet » October 4th, 2019, 1:08 am

2-engine ship:

Code: Select all

x = 22, y = 92, rule = B3/S2-in3-ace4ikqz
17b3o$16bo3bo$19b2o$14bo6bo$13bo2bobobo$13bo3b2o$13b3o2$18bobo$8bo$7bo
$11bo$9bobo$8bo2bo$2b5o3bo$2bo2bobo$2bobob3o$3b2o54$2b3o$2bobo$bo2b2o$
o2bo2$b2o$2bo$2bo6$2bo$2bo$b2o2$o2bo$bo2b2o$2bobo$2b3o!
There's probably a slower B-based ship moving at the same speed as the great kite's back corner.

Also, crossposting this:
GUYTU6J wrote:
October 2nd, 2019, 2:20 am
Replicating rake!

Code: Select all

x = 4, y = 3, rule = B34c6i8/S2-in3-a4iqy5ai6e
bo$3o$ob2o!
Any sufficiently advanced software is indistinguishable from malice.

GUYTU6J
Posts: 2200
Joined: August 5th, 2016, 10:27 am
Location: 拆哪!I repeat, CHINA! (a.k.a. 种花家)
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Re: Rules with interesting replicators

Post by GUYTU6J » October 4th, 2019, 8:14 am

I'm astonished by the tubs this quadratic replicator produces (and also the history envelope). Does this fractal appear elsewhere?

Code: Select all

x = 5, y = 5, rule = B2kn3-nq5y6i7/S23-aeny4ciknqtz
3bo$2b3o$bo$2obo$bo!
This 2d replicator is failed but very calm

Code: Select all

x = 4, y = 3, rule = B2kn3-ekq4i/S2-n3ijkqr4eikr
obo$2b2o$b2o!

fluffykitty
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Re: Rules with interesting replicators

Post by fluffykitty » October 6th, 2019, 1:27 am

Second order reversible rule 150 also produces that fractal.

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Re: Rules with interesting replicators

Post by fluffykitty » October 7th, 2019, 12:49 am

Wrong thread.

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Gustone
Posts: 744
Joined: March 6th, 2019, 2:26 am

Re: Rules with interesting replicators

Post by Gustone » October 7th, 2019, 5:05 pm

?!?!?!?!?!?!

Code: Select all

x = 1024, y = 2047, rule = B2k3n/S23
o2$bo2$2bo2$3bo2$4bo2$5bo2$6bo2$7bo2$8bo2$9bo2$10bo2$11bo2$12bo2$13bo
2$14bo2$15bo2$16bo2$17bo2$18bo2$19bo2$20bo2$21bo2$22bo2$23bo2$24bo2$
25bo2$26bo2$27bo2$28bo2$29bo2$30bo2$31bo2$32bo2$33bo2$34bo2$35bo2$36bo
2$37bo2$38bo2$39bo2$40bo2$41bo2$42bo2$43bo2$44bo2$45bo2$46bo2$47bo2$
48bo2$49bo2$50bo2$51bo2$52bo2$53bo2$54bo2$55bo2$56bo2$57bo2$58bo2$59bo
2$60bo2$61bo2$62bo2$63bo2$64bo2$65bo2$66bo2$67bo2$68bo2$69bo2$70bo2$
71bo2$72bo2$73bo2$74bo2$75bo2$76bo2$77bo2$78bo2$79bo2$80bo2$81bo2$82bo
2$83bo2$84bo2$85bo2$86bo2$87bo2$88bo2$89bo2$90bo2$91bo2$92bo2$93bo2$
94bo2$95bo2$96bo2$97bo2$98bo2$99bo2$100bo2$101bo2$102bo2$103bo2$104bo
2$105bo2$106bo2$107bo2$108bo2$109bo2$110bo2$111bo2$112bo2$113bo2$114bo
2$115bo2$116bo2$117bo2$118bo2$119bo2$120bo2$121bo2$122bo2$123bo2$124bo
2$125bo2$126bo2$127bo2$128bo2$129bo2$130bo2$131bo2$132bo2$133bo2$134bo
2$135bo2$136bo2$137bo2$138bo2$139bo2$140bo2$141bo2$142bo2$143bo2$144bo
2$145bo2$146bo2$147bo2$148bo2$149bo2$150bo2$151bo2$152bo2$153bo2$154bo
2$155bo2$156bo2$157bo2$158bo2$159bo2$160bo2$161bo2$162bo2$163bo2$164bo
2$165bo2$166bo2$167bo2$168bo2$169bo2$170bo2$171bo2$172bo2$173bo2$174bo
2$175bo2$176bo2$177bo2$178bo2$179bo2$180bo2$181bo2$182bo2$183bo2$184bo
2$185bo2$186bo2$187bo2$188bo2$189bo2$190bo2$191bo2$192bo2$193bo2$194bo
2$195bo2$196bo2$197bo2$198bo2$199bo2$200bo2$201bo2$202bo2$203bo2$204bo
2$205bo2$206bo2$207bo2$208bo2$209bo2$210bo2$211bo2$212bo2$213bo2$214bo
2$215bo2$216bo2$217bo2$218bo2$219bo2$220bo2$221bo2$222bo2$223bo2$224bo
2$225bo2$226bo2$227bo2$228bo2$229bo2$230bo2$231bo2$232bo2$233bo2$234bo
2$235bo2$236bo2$237bo2$238bo2$239bo2$240bo2$241bo2$242bo2$243bo2$244bo
2$245bo2$246bo2$247bo2$248bo2$249bo2$250bo2$251bo2$252bo2$253bo2$254bo
2$255bo2$256bo2$257bo2$258bo2$259bo2$260bo2$261bo2$262bo2$263bo2$264bo
2$265bo2$266bo2$267bo2$268bo2$269bo2$270bo2$271bo2$272bo2$273bo2$274bo
2$275bo2$276bo2$277bo2$278bo2$279bo2$280bo2$281bo2$282bo2$283bo2$284bo
2$285bo2$286bo2$287bo2$288bo2$289bo2$290bo2$291bo2$292bo2$293bo2$294bo
2$295bo2$296bo2$297bo2$298bo2$299bo2$300bo2$301bo2$302bo2$303bo2$304bo
2$305bo2$306bo2$307bo2$308bo2$309bo2$310bo2$311bo2$312bo2$313bo2$314bo
2$315bo2$316bo2$317bo2$318bo2$319bo2$320bo2$321bo2$322bo2$323bo2$324bo
2$325bo2$326bo2$327bo2$328bo2$329bo2$330bo2$331bo2$332bo2$333bo2$334bo
2$335bo2$336bo2$337bo2$338bo2$339bo2$340bo2$341bo2$342bo2$343bo2$344bo
2$345bo2$346bo2$347bo2$348bo2$349bo2$350bo2$351bo2$352bo2$353bo2$354bo
2$355bo2$356bo2$357bo2$358bo2$359bo2$360bo2$361bo2$362bo2$363bo2$364bo
2$365bo2$366bo2$367bo2$368bo2$369bo2$370bo2$371bo2$372bo2$373bo2$374bo
2$375bo2$376bo2$377bo2$378bo2$379bo2$380bo2$381bo2$382bo2$383bo2$384bo
2$385bo2$386bo2$387bo2$388bo2$389bo2$390bo2$391bo2$392bo2$393bo2$394bo
2$395bo2$396bo2$397bo2$398bo2$399bo2$400bo2$401bo2$402bo2$403bo2$404bo
2$405bo2$406bo2$407bo2$408bo2$409bo2$410bo2$411bo2$412bo2$413bo2$414bo
2$415bo2$416bo2$417bo2$418bo2$419bo2$420bo2$421bo2$422bo2$423bo2$424bo
2$425bo2$426bo2$427bo2$428bo2$429bo2$430bo2$431bo2$432bo2$433bo2$434bo
2$435bo2$436bo2$437bo2$438bo2$439bo2$440bo2$441bo2$442bo2$443bo2$444bo
2$445bo2$446bo2$447bo2$448bo2$449bo2$450bo2$451bo2$452bo2$453bo2$454bo
2$455bo2$456bo2$457bo2$458bo2$459bo2$460bo2$461bo2$462bo2$463bo2$464bo
2$465bo2$466bo2$467bo2$468bo2$469bo2$470bo2$471bo2$472bo2$473bo2$474bo
2$475bo2$476bo2$477bo2$478bo2$479bo2$480bo2$481bo2$482bo2$483bo2$484bo
2$485bo2$486bo2$487bo2$488bo2$489bo2$490bo2$491bo2$492bo2$493bo2$494bo
2$495bo2$496bo2$497bo2$498bo2$499bo2$500bo2$501bo2$502bo2$503bo2$504bo
2$505bo2$506bo2$507bo2$508bo2$509bo2$510bo2$511bo2$512bo2$513bo2$514bo
2$515bo2$516bo2$517bo2$518bo2$519bo2$520bo2$521bo2$522bo2$523bo2$524bo
2$525bo2$526bo2$527bo2$528bo2$529bo2$530bo2$531bo2$532bo2$533bo2$534bo
2$535bo2$536bo2$537bo2$538bo2$539bo2$540bo2$541bo2$542bo2$543bo2$544bo
2$545bo2$546bo2$547bo2$548bo2$549bo2$550bo2$551bo2$552bo2$553bo2$554bo
2$555bo2$556bo2$557bo2$558bo2$559bo2$560bo2$561bo2$562bo2$563bo2$564bo
2$565bo2$566bo2$567bo2$568bo2$569bo2$570bo2$571bo2$572bo2$573bo2$574bo
2$575bo2$576bo2$577bo2$578bo2$579bo2$580bo2$581bo2$582bo2$583bo2$584bo
2$585bo2$586bo2$587bo2$588bo2$589bo2$590bo2$591bo2$592bo2$593bo2$594bo
2$595bo2$596bo2$597bo2$598bo2$599bo2$600bo2$601bo2$602bo2$603bo2$604bo
2$605bo2$606bo2$607bo2$608bo2$609bo2$610bo2$611bo2$612bo2$613bo2$614bo
2$615bo2$616bo2$617bo2$618bo2$619bo2$620bo2$621bo2$622bo2$623bo2$624bo
2$625bo2$626bo2$627bo2$628bo2$629bo2$630bo2$631bo2$632bo2$633bo2$634bo
2$635bo2$636bo2$637bo2$638bo2$639bo2$640bo2$641bo2$642bo2$643bo2$644bo
2$645bo2$646bo2$647bo2$648bo2$649bo2$650bo2$651bo2$652bo2$653bo2$654bo
2$655bo2$656bo2$657bo2$658bo2$659bo2$660bo2$661bo2$662bo2$663bo2$664bo
2$665bo2$666bo2$667bo2$668bo2$669bo2$670bo2$671bo2$672bo2$673bo2$674bo
2$675bo2$676bo2$677bo2$678bo2$679bo2$680bo2$681bo2$682bo2$683bo2$684bo
2$685bo2$686bo2$687bo2$688bo2$689bo2$690bo2$691bo2$692bo2$693bo2$694bo
2$695bo2$696bo2$697bo2$698bo2$699bo2$700bo2$701bo2$702bo2$703bo2$704bo
2$705bo2$706bo2$707bo2$708bo2$709bo2$710bo2$711bo2$712bo2$713bo2$714bo
2$715bo2$716bo2$717bo2$718bo2$719bo2$720bo2$721bo2$722bo2$723bo2$724bo
2$725bo2$726bo2$727bo2$728bo2$729bo2$730bo2$731bo2$732bo2$733bo2$734bo
2$735bo2$736bo2$737bo2$738bo2$739bo2$740bo2$741bo2$742bo2$743bo2$744bo
2$745bo2$746bo2$747bo2$748bo2$749bo2$750bo2$751bo2$752bo2$753bo2$754bo
2$755bo2$756bo2$757bo2$758bo2$759bo2$760bo2$761bo2$762bo2$763bo2$764bo
2$765bo2$766bo2$767bo2$768bo2$769bo2$770bo2$771bo2$772bo2$773bo2$774bo
2$775bo2$776bo2$777bo2$778bo2$779bo2$780bo2$781bo2$782bo2$783bo2$784bo
2$785bo2$786bo2$787bo2$788bo2$789bo2$790bo2$791bo2$792bo2$793bo2$794bo
2$795bo2$796bo2$797bo2$798bo2$799bo2$800bo2$801bo2$802bo2$803bo2$804bo
2$805bo2$806bo2$807bo2$808bo2$809bo2$810bo2$811bo2$812bo2$813bo2$814bo
2$815bo2$816bo2$817bo2$818bo2$819bo2$820bo2$821bo2$822bo2$823bo2$824bo
2$825bo2$826bo2$827bo2$828bo2$829bo2$830bo2$831bo2$832bo2$833bo2$834bo
2$835bo2$836bo2$837bo2$838bo2$839bo2$840bo2$841bo2$842bo2$843bo2$844bo
2$845bo2$846bo2$847bo2$848bo2$849bo2$850bo2$851bo2$852bo2$853bo2$854bo
2$855bo2$856bo2$857bo2$858bo2$859bo2$860bo2$861bo2$862bo2$863bo2$864bo
2$865bo2$866bo2$867bo2$868bo2$869bo2$870bo2$871bo2$872bo2$873bo2$874bo
2$875bo2$876bo2$877bo2$878bo2$879bo2$880bo2$881bo2$882bo2$883bo2$884bo
2$885bo2$886bo2$887bo2$888bo2$889bo2$890bo2$891bo2$892bo2$893bo2$894bo
2$895bo2$896bo2$897bo2$898bo2$899bo2$900bo2$901bo2$902bo2$903bo2$904bo
2$905bo2$906bo2$907bo2$908bo2$909bo2$910bo2$911bo2$912bo2$913bo2$914bo
2$915bo2$916bo2$917bo2$918bo2$919bo2$920bo2$921bo2$922bo2$923bo2$924bo
2$925bo2$926bo2$927bo2$928bo2$929bo2$930bo2$931bo2$932bo2$933bo2$934bo
2$935bo2$936bo2$937bo2$938bo2$939bo2$940bo2$941bo2$942bo2$943bo2$944bo
2$945bo2$946bo2$947bo2$948bo2$949bo2$950bo2$951bo2$952bo2$953bo2$954bo
2$955bo2$956bo2$957bo2$958bo2$959bo2$960bo2$961bo2$962bo2$963bo2$964bo
2$965bo2$966bo2$967bo2$968bo2$969bo2$970bo2$971bo2$972bo2$973bo2$974bo
2$975bo2$976bo2$977bo2$978bo2$979bo2$980bo2$981bo2$982bo2$983bo2$984bo
2$985bo2$986bo2$987bo2$988bo2$989bo2$990bo2$991bo2$992bo2$993bo2$994bo
2$995bo2$996bo2$997bo2$998bo2$999bo2$1000bo2$1001bo2$1002bo2$1003bo2$
1004bo2$1005bo2$1006bo2$1007bo2$1008bo2$1009bo2$1010bo2$1011bo2$1012bo
2$1013bo2$1014bo2$1015bo2$1016bo2$1017bo2$1018bo2$1019bo2$1020bo2$
1021bo2$1022bo2$1023bo!

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