Miscellaneous Discoveries in Other Cellular Automata

[hotcrystal0]

Cursed eater 2 and weird OWSS:

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x = 18, y = 14, rule = R2,C2,S26-51,B40-51,NW0101000101010d0d0d01000d000d00010d0d0d010101000101
10bo$10bobo$10b2o4$3bobo$b3ob2o$o$b3ob2o$3bobo5b5o$3bobo4b7o$4bo5b5ob
2o$15b2o!

[b-engine]

Period 214 self-flipping shuttle:

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x = 4, y = 7, rule = B2ek3cijy4cintyz5cej6i8/S1c2cek3n5e6kn
2o$obo$o2bo$3bo$o2bo$obo$2o!

EDIT:
Failed attempt to make a gun:

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x = 43, y = 43, rule = B2ek3cijy4cintyz5cej6i8/S1c2cek3n5e6kn
39b2o$39bobo$39bo2bo$42bo$39bo2bo$39bobo$39b2o30$3ob3o$o5bo$bo3bo$2b3o
27b3ob3o$32bo5bo$33bo3bo$34b3o!

[rabbit]

Little period 8 rake in B34cjz/S23:

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x = 9, y = 11, rule = B34cjz/S23
2b4o$bo3bo$5bo$bo2bo3$3o3b2o$o2bo2bobo$bo6bo$bo5b2o$2bo3bo!

[confocaloid]

[...] high-period oscillators in the "Investigator" extension of the Life-like cellular automaton B357/S238 [...]

Some miscellaneous work-in-progress notes:

Pseudorandom patterns that are generated to contain only cells of states 0, 1, 4 often make apgsearch pause for minutes and/or consume lots of memory (worse than if it was one of cellstates 2, 3, 5 rather than the cellstate 4).

I don't know what each of these initial configurations eventually settles into. The "final pattern" might be a stationary constellation of some period + finitely many escaping spaceships (most or all of which are going to be instances of the glider 3736), or the "final pattern" might be an infinite growth.

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x = 7, y = 9, rule = B357/S238Investigator
.A.A$A4.2A$2A3.A$.2DA.A$A2.AD$.2DA.A$2A3.A$A4.2A$.A.A!

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x = 8, y = 9, rule = B357/S238Investigator
7.A$A4.A$3.A2.D$.D5.D$5.D.A$.D5.D$3.A2.D$A4.A$7.A!

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x = 9, y = 9, rule = B357/S238Investigator
5.A.2A$ADA.2A$7.A$.A2.D$.2A.A.D$.A2.D$7.A$ADA.2A$5.A.2A!

EDIT: here is a p30331 gun (capped):

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x = 118, y = 45, rule = B357/S238Investigator
26.2A$26.2A$11.3A3$16.A$16.A3.A$16.6A$18.4A$17.5A$14.2A.A.2A.3A$13.3A
4.3A.A28.A$12.A.A.A2.4A2.2A26.A3.A$12.2A6.7A30.A$12.2A.2A7.2A$13.3A5.
A$R9.PA.2A6.A$10.P.2A.A$6.EA.A.A3.A$.E4.PAPAP.AP48.A$.B2.RA.A3.PA49.
2A$5.A.PA2.2A50.2A$4.BC3.A.P47.2A3.2A51.E$5.A.PA2.2A50.2A$.B2.RA.A3.P
A49.2A$.E4.PAPAP.AP48.A$6.EA.A.A3.A$10.P.2A.A$R9.PA.2A6.A$13.3A5.A$
12.2A.2A7.2A$12.2A6.7A30.A$12.A.A.A2.4A2.2A26.A3.A$13.3A4.3A.A28.A$
14.2A.A.2A.3A$17.5A$18.4A$16.6A$16.A3.A$16.A3$11.3A$26.2A$26.2A!

[splitterrules]

Nearly identical SMOSMOS and RMOSMOS:

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x = 107, y = 3, rule = B3aeiq4aciy5ay6in7e8/S2-in3-a4inry5cejnq6c
3o13b3o71b3o11b3o$b2o13b2o73b2o11b2o$2bo13bo75bo11bo!

[b-engine]

Very weird gun and another:

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x = 100, y = 100, rule = B2ek3cij4cinyz5cejk6c8/S1c2cek3n4cq5ce6ckn
99bo$97b2o$95bo2bo$95b3o93$2b2o$bobo$b2o$obo!

[confocaloid]

p736 rotating gun, four barrels (all capped):

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#C [[ GRID THEME Catagolue ]]
x = 120, y = 118, rule = B2ek3cij4cinyz5cejk6c8/S1c2cek3n4cq5ce6ckn
65bo$62bob3obo2$62bob3obo$61b2obobob2o$62bob3obo2$62bob3obo$65bo11$39b
o$36bob3obo2$36bob3obo$35b2obobob2o$36bob3obo2$36bob3obo$39bo6$95bo$
94bobo$93bobobo$92bo2bo2bo$91bo2bobo2bo$90bob2o3b2obo$91bo2bobo2bo$92b
o2bo2bo$93bobobo$94bobo$95bo5$5bo$4bobo$3bobobo$2bo2bo2bo$bo2bobo2bo$o
b2o3b2obo$bo2bobo2bo$2bo2bo2bo$3bobobo$4bobo$5bo$114bo$53b2o58bobo$52b
obo57bobobo$52b2o57bo2bo2bo$51bobo56bo2bobo2bo$109bob2o3b2obo$110bo2bo
bo2bo$111bo2bo2bo$112bobobo$113bobo$114bo5$24bo$23bobo$22bobobo$21bo2b
o2bo$20bo2bobo2bo$19bob2o3b2obo$20bo2bobo2bo$21bo2bo2bo$22bobobo$23bob
o$24bo6$80bo$77bob3obo2$77bob3obo$76b2obobob2o$77bob3obo2$77bob3obo$
80bo11$54bo$51bob3obo2$51bob3obo$50b2obobob2o$51bob3obo2$51bob3obo$54bo!

Very weird gun and another:

Code: Select all

x = 100, y = 100, rule = B2ek3cij4cinyz5cejk6c8/S1c2cek3n4cq5ce6ckn
99bo$97b2o$95bo2bo$95b3o93$2b2o$bobo$b2o$obo!

[hotcrystal0]

This rule can be described as “CGoL, but a cell is not born if there are no other live cells within range 2”:

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x = 18, y = 18, rule = R2,C2,S34-67,B52-67,NW01010101010111111101011100110101111111010101010101
10bobo$10b2o$11bo3$15bobo$15b2o$16bo$4b2o$4bo$bo$2o2$10b3o$8bo5bo$15b
o$8bo6bo$9b7o!

[LuveelVoom]

Period 238 two barreled glider gun based on the R being a failed oscillator (it fires another copy backward, but also a B forward, and the B's debris destroys it.)

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x = 45, y = 57, rule = B38/S234c8
4$29bo$27b3o$26bo$26b2o7$8bo$8b3o$11bo$10b2o10$23bo$22b3o$24bo8$31b2o
$31bo$32b3o$34bo7$15b2o$16bo$13b3o$13bo!

[b-engine]

Period 532 V gun:

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x = 63, y = 6, rule = B2ek3cij4cinyz5cejk6c8/S1c2cek3n4cqt5ce6ckn
59b2o$59bo2bo$60b3o$2b2o$o2bo$3o!

[M. I. Wright]

Sharing results from this rule:

I badly want an INT rule with an affinity for diagonal lines. These two rules golfed from LuveelVoom's Bubbles IV rule come close, but there's not enough you can do with the diagonal SLs for them to be interesting. Can someone get closer to having SLs that evolve into new SLs when perturbed, ideally creating larger composite shapes?

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#C [[ RANDOMIZE ]]
x = 50, y = 50, rule = B3air4aceirw567/S2-a3-e4kn
!

Dirty wannabe RRO/RRG that (1) unfortunately can't share a track with itself and (2) chokes on its own debris if left untamed:

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x = 96, y = 94, rule = B3air4aceirw567/S2-a3-e4kn
60bo$59bobo$58bo3bo$57bo5bo$41bo14bo7bo$40bobo12bo9bo$39bo3bo12bo7bo$
38bo3bo14bo5bo$37bo3bo16bo3bo$36bo3bo18bobo$35bo3bo20bo$34bo3bo$33bo3b
o$32bo3bo$31bo3bo$30bo3bo$29bo3bo$28bo3bo$27bo3bo$26bo3bo$25bo3bo$24bo
3bo$23bo3bo$22bo3bo$21bo3bo$20bo3bo$19bo3bo$20bobo$21bo2$39b4o$5bo12bo
20bo$4bobo10b3o19bo3bo$3bo3bo10b2o20bo$2bo5bo10bo22b3o$bo7bo$o9bo$bo7b
o$2bo5bo$3bo3bo$4bobo$5bo11$90bo$89bobo$88bo3bo$26b3o58bo5bo$27b3o56bo
7bo$28bo56bo9bo$86bo7bo$87bo5bo$88bo3bo$89bobo$90bo3$74bo$73bobo$72bo
3bo$71bo3bo$70bo3bo$69bo3bo$68bo3bo$67bo3bo$66bo3bo$65bo3bo$64bo3bo$
63bo3bo$62bo3bo$61bo3bo$60bo3bo$59bo3bo$58bo3bo$57bo3bo$35bo20bo3bo$
34bobo18bo3bo$33bo3bo16bo3bo$32bo5bo14bo3bo$31bo7bo12bo3bo$30bo9bo12bo
bo$31bo7bo14bo$32bo5bo$33bo3bo$34bobo$35bo!

One of probably many breeders:

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x = 21, y = 16, rule = B3air4aceirw567/S2-a3-e4kn
15b3o$2bo11bo$bobo9bo4b2o$obobo8bob2o2b2o$bobo9bo4b2o$2bo11bo$15b3o3$
8b2o2b3o$5bo2b2obo$4bobo8b2o$3bo3bo2bob2o2b2o$4bobo8b2o$5bo2b2obo$8b2o
2b3o!

Different rule related to the second one in the quoted post:

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x = 19, y = 28, rule = B3air4aceirw567/S2-a3-aejr4cknqy5ejky8
2$b3o$bo2bo$bo2bo$2b3o6$10b3o$10bo2bo$10bo2bo$11b3o2$6bo4$b3o$bo2bo$b
o2bo$2b3o!

[ThePlayzr]

recently noticed something interesting about B3/S237: the LWSS works normally, but the MWSS becomes a beehive, and the HWSS rapidly evolves into a
block and a couple blinkers. Anyone know any other rules where some the xWSSs work, but the others don't?

Code: Select all

x = 0, y = 0, rule = B3/S237
bo2bo$o$o3bo$4o12$3bo$bo3bo$o$o4bo$5o12$3b2o$bo4bo$o$o5bo$6o

[b-engine]

…
Anyone know any other rules where some the xWSSs work, but the others don't?

S8 causes HWSS to fail:

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x = 7, y = 36, rule = B3/S238
bo2bo$o$o3bo$4o12$3bo$bo3bo$o$o4bo$5o12$3b2o$bo4bo$o$o5bo$6o!

S5i causes MWSS and HWSS to fail:

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x = 7, y = 36, rule = B3/S235i
bo2bo$o$o3bo$4o12$3bo$bo3bo$o$o4bo$5o12$3b2o$bo4bo$o$o5bo$6o!

S1e causes HWSS to fail:

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x = 7, y = 36, rule = B3/S1e23
bo2bo$o$o3bo$4o12$3bo$bo3bo$o$o4bo$5o12$3b2o$bo4bo$o$o5bo$6o!

See also: Hensel notation

[pifricted]

…
Anyone know any other rules where some the xWSSs work, but the others don't?

S8 causes HWSS to fail:

S5i causes MWSS and HWSS to fail:

S1e causes HWSS to fail:

See also: Hensel notation

S6n causes LWSS to fail:

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x = 7, y = 36, rule = B3/S236n
bo2bo$o$o3bo$4o12$3bo$bo3bo$o$o4bo$5o12$3b2o$bo4bo$o$o5bo$6o!

S7c causes MWSS and HWSS to fail:

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x = 7, y = 36, rule = B3/S237c
bo2bo$o$o3bo$4o12$3bo$bo3bo$o$o4bo$5o12$3b2o$bo4bo$o$o5bo$6o!

[b-engine]

I think that this p4 "eater 3 body trying to eat big S" oscillator might be known, since it's so easy to construct:

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x = 15, y = 14, rule = B36a/S23
8bo$7bobo$8bo2$6b5o$5bo4bo$4bo2bo$bo2bob2o$obobo4b2o$bo2bo3bo2bo$4b2o
2b2obo$11bob2o$11bo2bo$12b2o!

[ThePlayzr]

thanks both of you for these helpful rules. I would also, if that isn't too hard for you, like a rule where the OWSS works as well as all the other xWSSs. also, is B3/S238 EightLife or PedestrianLife?

…
Anyone know any other rules where some the xWSSs work, but the others don't?

S8 causes HWSS to fail:

Code: Select all

x = 7, y = 36, rule = B3/S238
bo2bo$o$o3bo$4o12$3bo$bo3bo$o$o4bo$5o12$3b2o$bo4bo$o$o5bo$6o!

S5i causes MWSS and HWSS to fail:

Code: Select all

x = 7, y = 36, rule = B3/S235i
bo2bo$o$o3bo$4o12$3bo$bo3bo$o$o4bo$5o12$3b2o$bo4bo$o$o5bo$6o!

S1e causes HWSS to fail:

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x = 7, y = 36, rule = B3/S1e23
bo2bo$o$o3bo$4o12$3bo$bo3bo$o$o4bo$5o12$3b2o$bo4bo$o$o5bo$6o!

See also: Hensel notation

[confocaloid]

thanks both of you for these helpful rules. I would also, if that isn't too hard for you, like a rule where the OWSS works as well as all the other xWSSs. also, is B3/S238 EightLife or PedestrianLife? [...]

Search yourself before asking, many of such questions can be answered with a simple search. https://catagolue.hatsya.com/census/b3s238

Forum rule 4: "This is an academic forum, not a chat or microblogging platform. Please spend some time doing some research to familiarize yourself with what is and isn't already known [...] before posting your discoveries. [...]" viewtopic.php?f=3&t=2092

As for OWSS, here is a known example ( viewtopic.php?p=205385#p205385 ):

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x = 100, y = 37, rule = R2,C2,S163-294,585,B166,244-290,335,416-424,434-437,NW09010901090151515101095100510901515151010901090109
76b3o$76bobo$75b4o15$75b3o$73bo4bo$74b2o3bo$73bo4bo$75b3o10$75b2o$56b
o16bo4bo15b3o$3o18bo13bo2bo15bo3bo20bo12bo5bo$o21bo16bo19bo13bo5bo19b
o$o19b3o12bo3bo14bo4bo14b6o12bo6bo$36b4o15b5o33b7o!

[b-engine]

thanks both of you for these helpful rules. I would also, if that isn't too hard for you, like a rule where the OWSS works as well as all the other xWSSs.

It's not hard at all if you're mastered in Hensel notation.

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x = 8, y = 29, rule = B34nt5nr6i/S2-c34r
4o$o3bo$o$bo5$5o$o4bo$o$bo5$6o$o5bo$o$bo6$7o$o6bo$o$bo!

See also: Rules with Mutant xWSS, where you could find many infinitely extensible xWSSes there.

EDIT: oops, wrong rulestring.

[confocaloid]

"Not hard", I see; in your pattern, the objects appear to explode.

It's not hard at all if you're mastered in Hensel notation.

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x = 8, y = 29, rule = B34nt5nr6i/S2-c34r5j
4o$o3bo$o$bo5$5o$o4bo$o$bo5$6o$o5bo$o$bo6$7o$o6bo$o$bo!

[rabbit]

p62 gun in B35aer/S234i (not explosive):

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x = 25, y = 10, rule = B35aer/S234i
3bo17bo$2bobo16b2o$bo17bo$5b2o10b3o$3bo2b2o9bo$2bo3bo10b3o2b2o$b2obo
17bo$obo19bobo$obo18b2o$3bo!

[hotcrystal0]

Reposting this for the P70:

+S8, feeling great. This adds a P70:

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#C from left to right: P70, c/2o, c/2o, 2c/16o, 2c/20o
x = 50, y = 11, rule = B2k3-ejkr4ceijkrz5cjnqy6cen7e8/S2-in3-akry4ceiqtyz678
4b3o$3b5o$4b3o12b3o5b3o7bobo7b2o$bo2b3o2bo10bo5bobobo6b3o5b2ob2o$11o15b
o3bo7bo6b4o$11o9bo4b2obob2o5b3o6b2obo$11o$bo2b3o2bo$4b3o$3b5o$4b3o!

[yyh_baboon]

Small (4,1)c/17 which looks like a bookend in one phase:

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x = 1,y = 1,rule = b3/s2-n3-k4i
bo$3o$o2bo$2b2o!

[pifricted]

Diode!

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x = 66, y = 24, rule = R1,C3,S2-8,11-15,18,21-24,29,B7-8,14-16,24,32,NW111101111,019
19.3A32.3A$19.3A32.A.A$19.3A32.ABA$19.3A32.3A$7.7A5.3A20.7A5.3A$7.8A4.
3A20.8A4.3A$7.24A11.24A$7.3A2.19A11.3A2.19A$7.3A2.19A11.3A2.19A$7.3A9.
3A6.3A11.3A9.3A6.3A$7.5A7.3A6.3A11.5A7.3A6.3A$3.15A.3A6.3A7.15A.3A6.3A
$3.19A6.3A7.19A6.3A$3.6A.12A6.3A7.6A.12A6.3A$3.3A10.6A6.3A7.3A10.6A6.
3A$3.3A22.3A7.3A22.3A$3.12A13.3A7.12A13.3A$3.13A12.3A7.13A12.3A$3.13A
12.3A7.13A12.3A$13.3A12.3A17.4A11.3A$13.6A9.3A17.7A8.3A$31A4.31A$A.B28A
4.31A$15A2.14A4.16A2.13A!

[b-engine]

Failed attempt to make a reflector:

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x = 5, y = 11, rule = R1,C3,S1-2,11,B18-19,54,90,NW151505151,019
2A$2A7$2.2A2$.A2.A!

[WhiteHawk]

this rule doesn't affect the LWSS and MWSS, but stops the HWSS from being a spaceship, and turns it into a tub.

Code: Select all

x = 0, y = 0, rule = B3/S238
bo2bo$o$o3bo$4o5$3b2o$bo4bo$o$o5bo$6o

Known. See OCA:EightLife#cite_note-2.

someone please move these posts to this thread or another more appropriate thread