Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
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WhiteHawk
Posts: 1368
Joined: July 10th, 2024, 5:34 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by WhiteHawk »

hibiscus wrote: January 18th, 2025, 11:36 am This rule's got a splitter with repeat time 15 which splits a c/2o. It can trivially be made into a reflector. Nothing more I can say, really.

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What I believe is the smallest gun.

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x = 7, y = 11, rule = B2ek3cik4aceknqy/S1c2-a3-ckn4q
b2o$b2o2b2o$5b2o2$2o$2o2b2o$4b2o2$2b2o$3bo$2b2o!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis
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hibiscus
Posts: 427
Joined: August 26th, 2023, 3:30 am

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by hibiscus »

The rule's 3 steps away from omniperiodicity (periods 1-9 and 11-12):

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x = 104, y = 15, rule = B2ek3cik4aceknqy/S1c2-a3-ckn4q
8b2o8b2o10b2o9b2o8b2o7b2o16b2o10b2o8b2o$3o5b2o8b3o8b4o8b2obo6b2o7b2o
16b2o10b2o8b2o$10bo8bo6b2obo2bob2o9bo7bo11bo14bo7b2o2b2o8bo$10bo15b2ob
o2bob2o6b2o8bobo8b3o13bobo5bo6bo6bobo$12bo16b4o10bo8b3o8bobo13b3o8b2o$
30b2o9b2o19b3o22bo2b2o2bo7bo$10b2o29b2o45b2o2b2o$10b2o56b3o17b2o2b2o7b
o$52b3o12bobo32b2o$52bobo12b3o32b2o$53bo13bo11b3o$51b2o18b2o6bobo$51b
2o18b2o7bo$78b2o$78b2o!
Edit: Pi-ship splitter

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x = 23, y = 11, rule = B2ek3cik4aceknqy/S1c2-a3-ckn4q
12b2o7b2o$12b2o7b2o$o$2o5b3o$2bo6bo$2o5b3o$o$21b2o$21b2o$12b2o5b2o$12b
2o5b2o!
Once this rule is omniperiodic OR a proof of turing-completeness is established I'll create a thread.
Edit 2: 180 degree reflector I constructed while I was bored (repeat time 18):

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x = 27, y = 17, rule = B2ek3cik4aceknqy/S1c2-a3-ckn4q
19bo5b2o$2o7b2o6b2o6b2o$bo8bo6b2o5bo$2o7b2o14b2o$25b2o10$17bo$18b2o$18b
2o!

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#C [[ ZOOM 8 TRACK -3/87 -1/87 ]]
x = 4, y = 5, rule = B35ay/S2-i3-e4ey5j
2bo$b2o$2obo$bobo$2b2o!
29.09.26
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confocaloid
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Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

hibiscus wrote: January 19th, 2025, 2:05 am

Code: Select all

x = 23, y = 11, rule = B2ek3cik4aceknqy/S1c2-a3-ckn4q
12b2o7b2o$12b2o7b2o$o$2o5b3o$2bo6bo$2o5b3o$o$21b2o$21b2o$12b2o5b2o$12b
2o5b2o!
Once this rule is omniperiodic OR a proof of turing-completeness is established I'll create a thread.
Do you believe this specific CA deserves a forum thread for itself?

I don't currently see evidence of it deserving more attention than it would get in an existing forum thread like MDiOCA. I think a forum thread is only helpful when it's likely to lead to an interesting discussion with more than a few replies contributing to the topic. There are a large number of forum threads for "abandoned" cellular automata, some of which are more interesting than others, with only few replies per thread on average. It is better to avoid creating more and more such short-lived overly specific threads. There are way too many CA to explore each of them in depth individually, there should be something more general and more interesting beyond specific examples.

In particular, the splitter you posted works in 2^41 = 2199023255552 cellular automata of the same type (*) and there is no immediate reason for "singling out" any of them. Due to low repeat time of the splitter, only a few low-period oscillators would need to be found to prove omniperiodicity, and many small low-period oscillators can be expected to work across wide spaces.

(*): two-state isotropic CA with range-1 Moore neighbourhood

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#C optional birth conditions: B3k4eknt5acejknr6eikn8
#C optional survival conditions: S2i3eiy4certwy5ceijnqry6aci78
x = 23, y = 11, rule = B2ek3cik4aceknqy/S1c2-a3-ckn4q
12b2o7b2o$12b2o7b2o$o$2o5b3o$2bo6bo$2o5b3o$o$21b2o$21b2o$12b2o5b2o$12b
2o5b2o!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.
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PiSpaceships
Posts: 218
Joined: January 17th, 2025, 12:20 pm

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by PiSpaceships »

I just discovered that in B2e3ceiq4e/S2-a34-eirtw there are lots of self-replicating guns which cause Sierpinski's Triangles to appear from the ash.

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x=0, y=0, rule=B2e3ceiq4e/S2-a34-eirtw
!
#C [[ RANDOMIZE RANDWIDTH 200 RANDHEIGHT 200 ]]
It behaves like that also after removing B4e configuration.

Edit: Can a repligun be turned into a gun by destroying its copies with stable objects? It could be very useful.
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CARuler
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CARuler »

is this what you were talking about?

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x = 14, y = 5, rule = B2e3ceiq4e/S2-a34-eirtw
2bobob2obobo$b5o2b5o$o12bo$b5o2b5o$2bobob2obobo!
(note: it creates two types of spaceships)
edit:
creates a short of wickstrencher

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x = 200, y = 200, rule = B2e3ceiq4e/S2-a34-eirtw
3ob2ob3obob2obobo3bobob2o5bo2b2obo2b2obobob2obo2bobo2b2o2b3o2bo5b5o2b
o2b2ob2o2b2o2bobo2bo3b2obobo3bobob4ob2o5bo4bo3bo3b4obob2obob3o2bob3ob
ob2ob2o2b4o2bob3ob2obo3b3obo$ob8o3b4obob2o2b3o4b2o5b3ob4obo2b2o3b3o4b
o3b2o3bo2b2obobo3bo3b4obo2b3o2b2o4bobobo3b2ob3o2bob3ob2o5bo2bo3bo2bob
o4b2obob4ob3ob2o3bo3bob2obobobobob3ob6o$2ob2ob2o6b2o4bobo2bo6bob2obob
obo2b2o3b3o2b4o4bo4b3o2bo5b3obob3ob2obob3o2b2ob2o4b5obobob3obo4b2obob
o5b2o2bob3ob2ob2o2b5o5b4obo5b6obobobo6bobo2bo$ob2obob2o2bob2obo6b5obo
bo2bo9b2obo2b3o2b5ob3ob2o3b2obo3bob2obobo2bob2obobob2obobobobobobo3bo
bo6b2o2b2obo2bo2b5obob2ob2ob2ob2ob2o3bo2bo4b4obobo4b4o2bo2b2o3b6o$ob2o
2bobo2bobo2b2obobob2obo3b3ob2obobo2b2o5b4o4b4o2bo8b2o2b3o3bo3b4ob2obo
b4o7bob2obo3b3ob3ob4o3b2o2bob2obo2bobo2b3ob4obobo2b2o5bo2bobo2b2ob4o3b
2o2b2ob2o$2o2bobo3b3o3bo2bo4b2obo2bo2bo3b9o2b8o3b2o2b3obo2b3o2b2obo2b
4ob4o3bobob3ob2ob6ob2o3bo2b3o3b2ob4obo2b4ob3o3bobo3b2o2bo3b3obo2bob2o
2bo4bo3bo2b2o3bo5bo$2ob4obo2b3ob3obo6b2o3bob4o2bob3obob3obobobobo4bo3b
o3bo4b2o2b2obob3obobob2ob8o2bobobo2bo2bobob2o2bobobo8bo3bo2b2o6bobo2b
obob2o4b6o3bo2b5o3b5o2b2ob4o$4obo3bobobo3b5o2b3obo3b4ob2ob4o3b3o2bob4o
bo3bob3o3b3o2bo3b2o2b2obo2b2obo5b2obob4obobo2bob5obobo3b2ob3obob2obo2b
3o2bo6bobo3b2obob5o2bo3bobo8b4o2b6o$ob2o2b3obobo2bobob4obo2b2o2bo2b2o
bo2b8obo10bo3b5o3bo2bob2ob3o2bo2bo2bo2b2ob5obo2b2obobo2bob3o2b3o2bo2b
2obob5ob2ob4ob2o2bo3b2obobo5b3o2bo2bo3bobob2o2bo2bob2ob2o$o2bobob3ob2o
bo6b5ob2ob2o2bo2bo2bo2b3ob2obobob5obobob2ob2o2bo2bo2b3o2bo2bob3ob2o2b
ob4o2b2o2b2ob4obob3ob3o2b2o3b4obo6b2obobob2obo5bobobo4b2o2b2o6bo3bo2b
4o5b3o$ob2o6bob3ob2ob5o3b2obo2b2obo2bob3ob2o2b2o2bo4bobob2o2bo2bo5b10o
bo3bob4o2b4o2b4o2b2ob3ob2o2bo5bob3o3b3obo2bo3bo3bob3o2bob2obo7b3obo3b
3o4b12o2bo$bobobobob2o3b4obobo2b4o2b3o2b3o2b3o2b2o3b2o2b3obob3o5bo4b3o
bo5bo2bo2bobo4bo4bo2bo2b9o3bob2o5b2ob2obo4b2obo2bobobobo2b3obo4b2ob2o
5bobobo2b4o3bo2b3obo2bobo$2b2ob2ob2ob2obobob2o3bobob3ob4obo3b5obo2b2o
3b2o4bobo3b2obob3obobobob3o4b6o4bo3bob2ob2ob2obo5bob6o2bo2b2o3bo3b2ob
ob3obob2o2bobobo2bo2b3ob2o3b2o2b2o3bo3bobo5bo$b2o4b2ob2o3bobob3o2b2ob
ob4obo3bo2b2o3b2o2bo2b2obo4b2obobo2b2o2bobobob3obo4b3obob2ob7o4b5obob
ob4ob5o8b4o2b4o6b4o3bob2ob2o3bob4o6b2ob3ob2obo2b3obo$5o2b2obob4obo3bo
5b2obo6b2o2b2ob2obo2b5o3bo7bobo2b2ob4obo4b2o2b3o4b2o2bo4b3o2b4ob2o2b3o
bob2o2b2o11b2obob4ob4o2bo2b2o3b4o2b2o2b2o2bob2ob2o4bobobo$2b5o3bo2bo3b
3o2b3o10bo4b2o3b3o2bo2b3obobo2bobo2bo2bob2obob3ob3ob3obo2b2ob2o3b3o2b
2obobo3b2ob2o3bo2bo2b2ob2obo4bo4b3o3b2obo2b4o4bobo3b5ob2o4b2ob2ob3o2b
ob4o$ob3obobobobobob3obo2b3o6b4o2b2o3b4o3bo4bobo2b2o4bob3o2bobob3obo2b
5obo3b3o2b3ob2o4b2o3b3obobob2o2b4o2b5obob2ob2o2b4o3b2o2b2obobobobo2bo
4bob6obo2b4ob2obobobo$bo4b6o3b2o3b2obo4bob3o5bobob3o2b3ob2ob2obob3obo
bobo3b3o3bo2b3o2b2obob2o3bo5bo2bobo3b2o3bo2bo2bobo8b2o2b5obobob3o3b4o
bobobo7b3obo3b2obobo4bobobo2bob3o$o2bo2bo2bob6obobobo2b2obo3b2ob3obob
obo3bob2o4b2obobobob4o4b4o5b3ob3o6bo5bo3b2o2bo2b4ob4obo3bobo3b3ob4o2b
o3b7o2bo2b2o2b5o3bob3obobo3b2ob4o2bob2o2b4o$obo5b3ob2obobo4bobob4ob2o
bo5bo2bob4ob3obob5o5b2o2bobobo2b2ob3o2bob3obobobo3b3o2bob2o4b10ob3obo
3b4o4bob2obob2ob4ob3ob7o2b5ob2obo2b4obob2o2bobo2b2o$4ob2ob3ob2ob2o4bo
5b2o2bob3o3b2obo2b6o2bobob2o3b2o10bobo4b3ob2o2bobobobo3bobo2b3ob3ob3o
bo4b2ob5o2bo5b6ob2obo2bo3bo4b3o2b2ob2ob3obo2bo2bob2o2b2o2b2ob3o3bo$o2b
o2b2obobo3b5ob2o4bo4bo2b3o2b2o2bo2bobo2bobob2o2b6o4bobobob2o6b2o3b2o5b
o2bo2bo3b4o4bobo3bob3obo4b3ob3o9b4obob4obobo2bo3bob2obob2obo4bob2o3b3o
2bo3bo$o6bo2bo2bob3o2bob4obo2bob2o2b3o2bobob7obo8b4ob2ob2ob3o2b2ob2o2b
2obob3ob3obo4b3ob3o2bo2b2ob2ob2ob2o2bo3b2obo2bob4o3bo2bo3b2ob2ob2o3b7o
3bobo3b2ob2obobo2b2o3bobo$3bobo2bo4bo3bo4bob7o3b2obo3b2o2bo2bob2o2bob
ob2ob3ob4o2b2obobob4o4b2o2b2ob2ob3o2b5ob2ob4obo2b2o2b3o2bo4b3obo2bobo
2bob6ob2o3bob2obo2bob2ob3ob2obo2b2ob4obo2b4o2bo$bo3b5o2bobo4b2obobobo
bo2bo3bob4o2b2o2bo3bo8b4o3bob2ob4o3bo3bob3o2b4ob2ob2ob2obob2o2bobo3b3o
2bob3o2b2ob3o10b5o2b3ob2o2bobobo3b10o2b3ob4o3bo2b3o$bo5b2obob3obo2b10o
b3obobob2ob3obob3o2b2o3b3o2b2ob3o7b4ob3obo2bobobo2b3o3b4obobo3bo4b2ob
o5b5obo3b2o2b2o2bo2bob3ob3ob4ob3obo2b2obob2obobo2bo2b2obob2o3b2o2bo$4o
2bo4b5obobobo2bo2b2obob3o2bo2bob2o6bo3b2obo3bobo3b5o2bob3ob2obob2o4b2o
3b2obobo3b2o2bo2b2o4bo6b2o4bobob2o3b2o2b2obo2b4o2bob2ob4o3b2ob3o3bo2b
4obo2b7o2bobo$2o4b2obo3bob3o5b3obob2obo2bo2bo2bo2bo2bob5o2b3obo2bob3o
2bobo2b2o3b3ob2o2b3o5bo2b5obob2o4bob3o3b2obobo3b6o3bo3b2o4bo6b2ob2o2b
2ob4o2b2o6bobo3bo2b3obo2bobo$2obo2bo2b3ob3o2bob5o3bobo4bo3bo12bobo3b3o
bob3o3bobo2b4obob2o3b2o2b2ob2obo5bob3ob2ob2o2bob4ob3o2b8o4bob3o7bob2o
2bo4b2obob6o2b2ob5ob3o3b3o2b4o$3obobobob6obo3b2obob3ob2obob3o2b6ob3o4b
2obo5b2o2b3obo3bob2obo5bo2b3ob2o2b3obobo3b6o2b3o2b2obob2obob2obob3obo
2b2obob3ob3o2b2ob2ob2o3bob3ob5obo2bo3bob2obo2b5o$bobob2obob4o2bo3b3ob
4obo2bo4bo2b3obo3b2obo5bo3bo4bobo3b2o2b2o3b4o4b2o3bob2o2b2o3b4o2b2o2b
ob2o5bobob2ob2o2b2o5b2o2b2obo2b4o8bobob2o3b3o2bo3bo2bo4b3obobo$2obo4b
2o3b2ob2o2b3o5b5o7bo4bo3bo2b2ob4o2bo3b2obo2bob5obo3bobobo3bob2o2bo2bo
bobo2b2obo3b2o8bobo3bo2b5obo3b3o4b3obo2bobobob5ob4ob3obobo3bo2bo3bobo
5bo$bob2obo2bo5bo2bo2b2obo2bob2ob2ob3o4bo3bo3b5o8bob4ob2o2bobo2bobo3b
o3bobo3b2obo4b5o3b2obo7b2obo6bob3o2b2ob2ob3o3bobo4bo4bobobob3ob3o3bob
o2b2obo3bob3o2b2o$2o4b4o2b2o2b3obo5b4ob2o2bo2bob8o2bob2o3bo4b2o2b2o4b
o2b3o5bob2o3b2o2bobobob3obo6bo2bo2b2o2b2o4bo2b2o3b3obobo3bobobo2bob2o
2b5ob2o4bobo2bobo4bo2b6obo2b2o$2bobo2b2ob2o2b3o3bobob2obo2b2o3bo2b6o2b
2obobobob3o2b2o2bo7b2o5b3obobo2bobo3bobobob2ob4o2b4ob3ob5o2b3o3b2o2bo
b2o6bo2b2o2bo2bobob3o5b3o2b2o2bo2bobo2bobo2b6o2bobo$3bob8o2b3ob3ob2o2b
3ob3obob2ob2o6bob2obo4b4o3bo2bo2bo3b2ob2o2bo2bo5b4o4bo2bo2b3ob2obob2o
2b2ob3o2bo4bob3ob2obo3bo3b2o3b5o3bo2bo2bo3bo2b3o2b2obobo3b2o2bob2obob
o$2bo2b4o2b2ob4obob2o2bo2b4obob5ob3o5bo2bo3b4obobo6bob2o4bo2bobob2ob6o
b4o2b3obo5b2o3bo3bob4o2b2o5b2obobobo3b5ob3o4b3o3b2o6b2o3b2obobo2bobob
ob3o2bobo$obo2b2o3b2o2bo6b2o3b2o2b3o4b4o3bo2b2obob2ob3obob3o3b6ob3ob2o
4bob2o3b2o5b3o2b5obo2bobo2b3o3b2ob2obo2b2obobobob2ob2obobo3b2ob2obo2b
ob4o5bob2o2b2o3b2o4b2o2b2obo$obobo3bo2b3ob3obo8bo6bo5bo5b2ob2o3b4ob2o
3bo4b2o3b5o2bo4bobobo3bo2b2o3b2o2bo2b2obobobobo4b3obob2o3b2o2bo5bo2bo
b2o4bo3bobobo2b3ob5o5b3ob2obo3b2o$3bobo3b2obo6b4ob3ob3ob2o3bob2o2b2o4b
2obo2b2obo3b3ob2o2b3o3bob2ob3o2bobobo2b2o2bobo7bo2bo2bo2b4ob6ob4obob2o
bo6b2obo4b2o3bob3o2b2o2b2o2bobo6b2obo5b4ob4o$6b2ob4ob3obo2bob2o5b3o2b
ob2ob3o4b2o13bo3b2o2b4o4bo4bo4bobo2b2o4b2o3b4ob5o4bobobo2bob5ob2o4bo2b
2o2b2o6b2o3bo2bobobo2bobobob2o3b2o4b2obo2b2o2b3o$bo2b9obo3b2o4bob3obo
b2o2b3o2bo2bo2bo2b2o3bo3b2ob9ob5o2b2ob2o3bobo2b4o3b2o5bo3b3ob2o2b5o3b
4o3b2obob2o2bo2b3ob2ob2o3b2obob2o7bob2obo2b4ob2o2bobobo5bo$4bo2bobob3o
4bob3o2b2obob4ob4ob6o2b2ob2o5b2o2b2ob5obo5b2o2b2obo2bobo4bobo2bo2b2ob
8ob2o6bo2b2ob2o3bob4o2bob8obo3b3o2bo3b4o2b2o3bo2b2obo2bobob2obo2bo$ob
ob2o3b2ob2ob3obo2bo2bo9bo3bobob4obobo2b2o2bob3ob5o2b2obo5bobobo3b2ob2o
b2obo7bob2o2b4o3b2ob2o3bob2ob3o6b2o2bob3obo2bo2bobob3ob2obo4b2ob2o2b2o
4b3o2b2o3b2o2b2o$2o3bo2bo2b4o3bobobobo2b2ob3o2b2ob2obobo4b2o2b2o3bo7b
2o2b2o4bobob2o5bobobo3b2obobob2ob3obo5bo2b3o2b3obo3b3obobo8bo4bob5o3b
o3bo3b2o4b2ob4obob5ob3obo2bobo$o2bo3b2o3b3o2b2o2b2o3bob5ob5ob4o2bob6o
bobo2bobobob2o2b3obobo2b4obo2b2o2b7obob3obo4b5o7b2ob2ob3obobob2o3bo2b
obobo3bobo3b3o2b6o7bobobo5b2o2bo2bo2bo$obob2o2bob5o3bo2b2o2b4o3bobobo
b3ob2o3bo4bobobob2o2bob3o3bob2obo2b5o2b3obob3o2b2obobo6bo3b2obo3b5obo
2b3o2bo6b2obob3ob3ob2o6b3o2bob3ob2ob2obo2b2ob3o2b2o3b2o2bo$bo2b5obo2b
2ob2obo2b2obo2bo2bob3o4bob2ob2obo4b2ob4o2b2o2b4ob3ob2o2b2o2b2o3b2ob3o
b2o2b2ob3o2b2obob3o2b3o2b2o7b2ob2o2b3ob3obob6o3bo5bobo7b3ob3o2b4o2b2o
b2obob2obo$7b2obob2obobo2b4o2b2obo3b3ob3obo2b3o2b2o6b4obobob2o2bob3o3b
5o4bob3o5b2o6bo3b2o2b2obobob3obob2obo2bob3ob4o2bobo2bob2o2bob2o3b2o7b
o5bob5o3bo2bob6obo$b2obo2bo4bobobobo2bo5b2o4bob4obo2bobobo3b7o3bo3bo6b
2o2bobo6bo2bo2bo4b8ob3ob2o4b2obo4b3o4bo2b3obobobo2bo2bob4ob2obo2bobo4b
2o3b2obobo4b2o2b5obo$bobo2b3ob3o3bob2obo5b2ob3o3b4ob4obobo2bo2b2o2b2o
4bob3ob3o2b3o6b3ob4ob2ob7ob2o2bo5bobobo2b3o2b3obob2obobob2o2bo2b4o2bo
bob2o3bob4ob4o2bob2ob5obo2bobo3bobo$obob2o2bobo3bobobo2b2obo3bo4bo6bo
2bobo3bo2bob2o5bo7bo8b2o2b2o2bo2bo4b2o2b2o2b3o2bo2b5obobobo2bob3ob3ob
obob2ob3ob2o4bo3b2obo2bob2obob2o7b3obo7bobo2bo2bo2bo$obobob3o7bo2bob7o
bob2obo4b2o4b2o6bob3o6b2o4bo2b3obo4bo6b5o2bo2bobo2bo2b4o4bob2obob3obo
bo5bobob3o3bo2bob2o2bob2o4bo5b2o5bo7bo3b3o4bo5bo$b4obo3b2o3bobo2bo3bo
3b2ob2obob3ob5o5b3o2bobo3bobo4bo3bo3bobob3obob3o2bob3o11bobobo2b2o3bo
2bob4obob2o2b2o5bobob2ob3o3bobobo3bo4b2o2bo2bobobob2obo3bob3o3bo$2o4b
6o4b2ob10ob2obo3b2o3bo2bob3obob4o2b3o2bobobo2b4ob2obob2ob4o3bo3bo2bob
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4obob2ob3obo3b4o5bobob2obob4o8b3ob2o5b2o5bo3b4obobobo2b2ob3o2bobo3b3o
bo2bobob2obobo5b3o$ob2obobobob2o4b4o2bo2b2ob3ob2o3b3ob5ob2ob2ob3ob2o2b
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2b5obobo2bobob2obo2b2obobo3b2o6bob2o3bob2obo2b2ob3o2b3o2b4o2bobo2b5o2b
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6bobob2o4bobob2ob4obob3obob4ob5obo2b4ob2ob2obo4b2o3b4ob3o6b4o2bo3bo$o
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3b4o4bo2bo2bo3bobo2bobo3bo3b3ob2obob3o2b2obob2o2b4o4b3o4b2obobo2bobob
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5bobo2b2obo11bo4b2o4b2o3b2ob2o2b3ob2o4bobob2ob6o4bob4o2b4ob3o2b4o2b2o
3bobobobo7bo7b2ob3obo$b3o3bob5ob4o3b2o6bobob2obo4b2ob2obobobo3b2o2bo2b
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$bobob4o2b2o2b4o2b3o2bobobo3bo2b3ob2obo2b2ob3ob6ob4o2bo2b2obo2b6ob2ob
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b7o2bo2bo3b4o2b2o2b2obobo2bo3bo2bo2b2ob3o2b2ob6obob2obo2bo7bo2b3o3bo$
bobo6bob4ob6obo4bobo3bob2o2bobo2b2o3b5ob7ob3o3b2o2b2obobo2bo2b2o3b3ob
2obo6b2o7bobo4b3ob2ob2o3b3ob2o2b4obob2ob6obo2bo2bo2b3o2b2obob6obobob2o
3bo3bo$4bo4b4obo3bob3ob3obobob2ob4o2bobo2bobobo2bo2b2obobo3b2ob4obob2o
9b3o4b3ob5o2b2obo4b2obobob2ob2ob5o2bo2b5o5bo3bobob2o2bobo4b2o2bob2o2b
o2bobob4ob4o7b3o$ob2o2bo2bob2o4bo2b3o2bobob2o3b4o2bo4b4o5b2o3b2o8b3o2b
4ob3obo2b4o3bob2o2b2o4b3ob6o3b2o4b3obob2o2b5obo4b3ob3o3bo4bobo2b3ob6o
bobob3o3b3o5bob4o$3b2o3bo4bo3b2obo2b2ob2obo9bo2b5obobobo2bob2o3b6o2b6o
b2o2bo2bob2o3bo2bobo2b2obobobobo2b2o3b4ob2obob3o2b3o3bob2ob2obobobob3o
3b2obo3b2obo4b2o5b6o2b2obo2b2o2b3o$b4ob2o2b10o7bo3bob2obo3bobo3bo2bob
o5b2o4b2o4b3o4bo3b2o2b3obo2b2o5bob6o3bo4b2obo4bobobob2o5b4ob2o2b2o6bo
3b6o3bo2bo3bo5bob7ob5obo$2o2b6ob3ob4o3bob2o3b2o2bob5o2b3o2b2obo2b2o7b
obo5b3o2b2o3bobob3obob2o2bo2bobobobob2o2b4o2bobob3o2bo2bob11o4bo4b4o2b
3o2b8o2bobobobob2o2bob3o2bob3ob2o!
edit2:
diag ship

Code: Select all

x = 4, y = 3, rule = B2e3ceiq4e/S2-a34-eirtw
2bo$bobo$o!
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Re: Absolutely Useless Patterns Not Worthy Of Patterns Thread

Post by CARuler »

a p14

Code: Select all

x = 6, y = 6, rule = B3-q4t6n/S23-qr5q6c
$b3o$o$bo2bo$3b2o!
4c/11

Code: Select all

x = 5, y = 7, rule = B3-q4t6n/S23-r5q6c
3bo$b2obo$obo$o$obo$b2obo$3bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

Please edit your post to merge small patterns into a pattern collection.
Also please trim the large random-looking pattern to only that region that's actually relevant. Instead of posting a large soup producing the object of interest, just post the object of interest directly. That would take less screen space and less disk space and communicate better the intent.
CARuler wrote: January 20th, 2025, 10:52 pm edit:
creates a short of wickstrencher

Code: Select all

x = 200, y = 200, rule = B2e3ceiq4e/S2-a34-eirtw
edit2:
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by R2INT »

An example of how that can be done with the second pattern:

Code: Select all

x = 21, y = 4, rule = B2e3ceiq4e/S2-a34-eirtw
o$o18b2o$o18b2o$o!
To save a portion of the pattern, use the Select tool to select the pattern you want to save, and then go to Settings > Pattern > Save Pattern as usual. It will then display "Selection Saved", meaning you saved the pattern you selected.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by PiSpaceships »

R2INT wrote: January 21st, 2025, 10:32 am An example of how that can be done with the second pattern:

Code: Select all

rle
It's still a repligun. Note that the still life often grows when hitting it. I already tried to make it a gun by double-side closing it with still lives. The result was that it was destroyed by the growing still lives. I tried to increase distances, but the pattern just stabilizes after the longer time.

Code: Select all

x = 21, y = 4, rule = B2e3ceiq4e/S2-a34-eirtw
38bo$2o36bo36b2o$2o36bo36b2o$38bo!
It's possible that we chose a wrong rule. B2e3ceiq/S2-a34-eirtw has very similar behaviour. Can a repligun can be stabilized into a gun in it?
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by WhiteHawk »

HartmutHolzwart wrote: January 21st, 2025, 3:11 pm Tarantula-related c/5o spaceship:

Code: Select all

Alien evolution in EightLife

Code: Select all

x = 85, y = 33, rule = B3/S238
3b3o73b3o$3bo2bo3b2o61b2o3bo2bo$b8obo63bob8o$obobob3obo63bob3obobobo$
o83bo$2bo3bo3b3o59b3o3bo3bo$2o4bo7b3o51b3o7bo4b2o$o6bo2b3ob4o49b4ob3o
2bo6bo$6bo10b2o47b2o10bo$14bob2ob2o43b2ob2obo$14bo7b2o3b2ob2o21b2ob2o
3b2o7bo$18bo3bo3bobob2o21b2obobo3bo3bo$22bo6bo2bo19bo2bo6bo$18bob2ob3o
3bobo21bobo3b3ob2obo$19bo4b2obo29bob2o4bo$28b3o23b3o$32b3o15b3o$32b5o
b3o3b3ob5o$34b2obobobobobobob2o$39bobobobo$40bo3bo2$39bo5bo$35bob2obo
3bob2obo$34bobobo2bobo2bobobo$39bobobobo$34bo3b2obobob2o3bo$35bo2bob2o
b2obo2bo$36bo2bobobobo2bo$35bo5bobo5bo$38bo7bo$36bo3bo3bo3bo$38bo7bo!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by islptng »

Misshaped factorio:

Code: Select all

x = 0, y = 0, rule = R4,C0,S1,B3,N@080002010BD080400010
obob2o!
Technologies maybe exist.

EDIT: It's Factorio, but with range 4:

Code: Select all

x = 9, y = 1, rule = R4,C0,S2-3,8,B4,N+
2o3b4o!
Last edited by islptng on January 22nd, 2025, 9:35 am, edited 1 time in total.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by pifricted »

islptng wrote: January 22nd, 2025, 5:50 am Misshaped factorio:

Code: Select all

x = 0, y = 0, rule = R4,C0,S1,B3,NW000010000000000000000010000000010000101101101000010000000010000000000000000010000
obob2o!
On mobile so can't make rle. Above is hand-typed.
Technologies maybe exist.
A p2 oscillator with a dot, but the dot is necssary:

Code: Select all

x = 5, y = 3, rule = R4,C2,S1,B3,NW000010000000000000000010000000010000101101101000010000000010000000000000000010000
o$2bobo$b2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CARuler »

anther version of factorio

Code: Select all

x = 76, y = 41, rule = R4,C2,S7-8,11-12,15-18,B12-13,17,19,40-48,NW000010000000010000000050000000050000115505511000050000000050000000010000000010000
34bo2bobob2o2bobobo2bobo2b2o8b2o2b2o2bo$34b2o2bobob2ob2obo3b2o2b3o2b2o
2bo2bo3bobo$36bo5bobobob3o2bo3bobo4bo2b2o5b2o$34bo3b7o2bo2bobob2obobo
bo3bo2bo2bo$33b6obo2b2ob2o2bo3bo2b2obobo4bo2b2o$33b4ob4o2b2ob5o3bob2o
b3o4bob3ob3o$33bobo2bobo4b3obo2b5o2b3o2b2o2bo2b5o$20bo14bo2b2o2bo4b2o
b2o2bo3bob3obob2ob2o2bo$20bo13bob7o3b3o3b2o2b2o2bo2bo2b3o2b4o$20bo12b
2ob2o3bobobo5b2obo6b2o2b3obobobo$20bo13b2o2bobo2b3ob2obo2bobo6bobo2b6o
b2o$34b2o3bobo3bo3b2o2bobobob4ob6o2b4o$36b5obob2o3b7obo5b5o2bobobo$20b
o12bob2obo5bob2obobo2bo4b2o3bobob6o$20bo12b2o4bob2obob2o2b2obob2ob2o3b
o7bobo$33bo6bo9bo2b2o2bobobo2b2o5b2o2bo$35bob2ob6o2bobo2b4o2b3o4b3o3b
ob2o$33b2o2b2o3bob4obo2b5obo2b2o2bo9bo$33bo6bobo3bo9bob4o2b2obo2b6o$34b
3ob3o2bo3b3ob2obo2bo4bo2b2ob2o4bo$36b3o2b2obobobobo2bo9b2obo7bo$33bob
2obob3obo3bo2b7ob3obobob2o3bo$34b2obo4bo2bo2bobo2bobo2bo2bo6b3obo2bo$
33b2o5bo2bo2bobo2b4o3b5o2bo2b2o4b2o$o34bobo3b3o2b2o2b2ob7o2bo2bobo4bo
$o32b2o2b6ob5o4b2o3b2o2bob2o3bo2bo$o33b3obobobo3bobo4b2o3b3o2b3o3b2o2b
obo$33bo2b3o2b2o2b3obo3b2obob2o5bo4bo4bo$o33bo3bobobobobo2bobob4o2b3o
b2obob3o2bo$34b2o2bob2o2bob2o2bob5o5b4o4b4obo$33b3ob4ob2obo3b2obobob2o
3b2ob3ob5ob2o$33b4o3b4o4bo2bobobo2b3ob3obo3b6o$34b2o3b5o3bo2bo2b5obob
3o2b2obobo2bo$33bob6obob2ob2obob2o7bob2o3b3o$33b2o2bobo2b3obobobo2b4o
2bo2b2o7bo3bo$33bo10bob2obobob2o4b2obobob2obo4bo$33bo8b2obobobobo3b2o
bo2bo5bob2ob2o$35b3o2bobo3b2ob7obo2b2o5b2ob5o$33b8ob2o2bob3obo2b2ob2o
3bobobobo2bo$33b2obobob2o5bo2bobobo2b4o2bobo3bobo$34b2o2bobo2bobo3b2o
bob2ob2o3bo2b5ob5o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by b-engine »

Today's discoveries I noticed: first p130 oscillator, as well as highest non-trivial period of all semi-natural oscillators:

Code: Select all

x = 11, y = 10, rule = B3aijn6ac/S3ai4ak5i6-in78
4b3o$bob5obo$2b7o$b9o$b9o$11o$11o$11o$2bo2bo2bo$4b3o!
First semi-natural p21, occurred in part of a trivial p84:

Code: Select all

x = 14, y = 15, rule = B3aijn6ac/S3ai4ak5i6-in78
6bob2o$b2ob7o$b12o$12o$b12o$14o$13o$14o$13o$14o$b12o$12o$b12o$b2ob7o$
6bob2o!

Code: Select all

x = 10, y = 10, rule = B3aijn6ac/S3ai4ak5i6-in78
b2ob2o$b6o$9o$b7o$b8o$10o$9o$b9o$b9o$3b2o2bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

Assuming no bugs or errors, this is the unique 76-bit still-life with bounding box 12-by-12 in HighLife and there are no higher-population still-life patterns in the same square-shaped region:

Code: Select all

x = 12, y = 12, rule = B36/S23
2ob2obob2obo$bobob2obob2o$o2bo4bo$3ob4ob3o$3bo4bo2bo$2obob2obobo$bobob
2obob2o$o2bo4bo$3ob4ob3o$3bo4bo2bo$2obob2obobo$ob2obob2ob2o!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by WhiteHawk »

confocaloid wrote: January 16th, 2025, 5:03 am
pifricted wrote: January 16th, 2025, 4:00 am B34e5cky6n8/S23

Code: Select all

It appears to explode via spaceship collisions:

Code: Select all

Code: Select all

x = 30, y = 33, rule = B34e5cky6n8/S234c
28b2o$28b2o16$10b2o$9bo2bo$12bo$11bo$8b2o4b2o$13bo2bo$16bo$12bo2bo$6b
o5bo$5bobo$5b2obo$6b2o3$2o$2o!
One-time turner and converter

EDIT: 4c/40 spaceship found while exploring alternate rules with the loaf ship

Code: Select all

x = 10, y = 9, rule = B34e5ck6n8/S23
6b2o$6b3o$2b3o2b2o$2b2ob2ob2o$b6obo$ob2o3b2o$b3o$b3obo$3bo!
EDIT 2: alternate reactions with loaf ship and a block in the original rule

Code: Select all

x = 142, y = 33, rule = B34e5cky6n8/S234c
32b2o106b2o$32b2o53b2o51b2o$87b2o17$9b2o$8bo2bo$3bo5bobo58b2o51b2o$4b
o5bo58bo2bo49bo2bo$b3o60bo5bobo44bo5bobo$ob2o61bo5bo46bo5bo$b2o59b3o50b
3o$bo6bo52bob2o49bob2o$6b2obo52b2o51b2o$5b3o54bo6bo45bo6bo$4b2obo59b2o
bo49b2obo$6bo59b3o50b3o$65b2obo49b2obo$67bo52bo!
Last edited by WhiteHawk on January 23rd, 2025, 11:56 pm, edited 4 times in total.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CARuler »

includes a (2,1)c/5 found by rls

Code: Select all

x = 161, y = 106, rule = B2-a3-ijkn4ceiy5-cnry6cn/S02ikn3nry4-ajnwy5nr
7bo$5bobobo$6b3o$4b3ob3o$2b2o7b2o$3bo2b3o2bo$obo4bo4bobo$2bobo5bobo$3b
2obobob2o$3bobo3bobo2$4b7o$5bobobo$7bo18$89bo9bo$88b2o9b2o$34bo3bo3bo
45b2obob3obob2o$32bo2bob3obo2bo47bobobo$34bobobobobo44bobo4bo4bobo$31b
3o2bobobo2b3o41bo13bo$31bobo2bobobo2bobo19bo7bo$31bo4bobobo4bo17bobob
o3bobobo$31bo13bo19bo7bo15bo9bo$31bo4bo3bo4bo19bo7bo14b3o2b3o2b3o$31b
o3bo2bo2bo3bo45bo2bo2bo$31bo3bob3obo3bo22bobo17bo2bo5bo2bo$31bo13bo17b
obob2ob2obobo11bo13bo$32bo4bobo4bo20b9o$32b2o3b3o3b2o21b2obob2o$66b7o
$9bo57bo3bo$7bo8bo49bo5bo$11bo4bo47bo9bo$7bo8bo45bobo2bobobo2bobo$8bo
55bo4bo4bo$64b2o7b2o12$38bo3bo$36bo2bobo2bo2$33bobo3b3o3bobo$36bo7bo$
35b2o7b2o$34b2o2bo3bo2b2o$33bobo9bobo$33bob2o7b2obo$33bobobo5bobobo$33b
obo9bobo$35bo9bo103bo7bo$147bo11bo$153bo$150b2obob2o$148b3obobob3o$148b
obobobobobo$149bo2bobo2bo$149bobo3bobo$152bobo$151bo3bo$153bo$150b7o$
146b2ob3obob3ob2o$147bobo2b3o2bobo$149b3o3b3o$87bobo59b3obob3o$86bo62b
obobobobo$10bobo77bo60b5o$4bobob7o137bobo$3b3o3b5o74b3o$4b2o2bobobo75b
o$5bob2ob2o67bo9bo$11bo2b2o61bob2o7b2o$10b4o64b4o7bo$11bo2bo65bo4bob3o
$11b3o67bo5bo$14bo64b2o2bobob2o$79bobobob2o$78b2o2b2o$83bo$82bo!
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by WhiteHawk »

Quadratic loaf replicator - produces cancelling gliders

Code: Select all

x = 4, y = 4, rule = B34e5ck6n/S23
bo$obo$o2bo$b2o!
Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by islptng »

New rule: StopboxINT(B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8)

A typical soup:

Code: Select all

#R B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8
! [[ RANDOMIZE RANDWIDTH 256 RANDHEIGHT 256 ]]
We have RT11 eater, RT12 reflector and RT14 splitter, a P11 gun, infinite still lives, and a c/6o:

Code: Select all

x = 37, y = 29, rule = B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8
3b3o29b2o$3bobo7b5o17bo$3b3o7bobobo8b3o6bo$13b5o8bobo6bo$26b3o6b2o3$bo
$obo$3o$27bo$14bo11bobo$obo10bobo10b3o$3o10b3o$3o3$14bo12bo$13bobo10bo
bo$13b3o10b3o5$5bo$2b4o$2bob2o$2b4o$5bo!
This rule is omniperiodic! (I'm just too lazy to dump the nbsearch2 results. There are period 1-14 oscillators.)
Catagolue census
Last edited by islptng on January 24th, 2025, 11:03 pm, edited 1 time in total.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by WhiteHawk »

From Catagolue, the nearest isotropic non-totalistic rule to B35/S23 which supports the glider has a fun statorless p30 beehive-based oscillator.

Code: Select all

x = 7, y = 7, rule = B35-n/S23
5b2o$5b2o$5b2o2$2o$2o$2o!
Last edited by WhiteHawk on January 24th, 2025, 12:02 pm, edited 1 time in total.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

WhiteHawk wrote: January 24th, 2025, 11:03 am [...] the nearest rule to B35/S23 which supports the glider [...] B35-n/S23 [...]
I think you'll need to specify the CA family or otherwise add a restriction, else the following CA is arguably closer than that:

Code: Select all

x = 30, y = 23, rule = R2,C0,S34-67,B51-67,86-101,NW01010101010111111101011100110101111111010101010101
11bo$12bo$10b3o2$27bo$27bobo$27b2o13$2b3o$bo3bo$o2bo2bo$3ob3o!
It's "ring-totalistic" / "layer-totalistic", the condition of a cell is an encoded form of the tuple (the cell's own current state between 0 and 1, the number of alive range-1 neighbours between 0 and 8, the number of alive range-2 neighbours between 0 and 16). In particular the omitted birth condition B85 is an encoded form of the tuple (0, 5, 0) which means "the cell is currently dead, has precisely five alive range-1 neighbours, and has zero alive range-2 neighbours". If the birth condition B85 is added, then the CA will be equivalent to B35/S23.
WhiteHawk wrote: January 24th, 2025, 11:03 am [...] the nearest isotropic non-totalistic rule to B35/S23 [...]
That doesn't resolve the problem. The above CA I posted is isotropic, and non-totalistic.

There is no "nearest isotropic non-totalistic" CA to B35/S23, you can always go closer and closer and closer.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CARuler »

islptng wrote: January 24th, 2025, 4:11 am
pull reaction and wickstrencher

Code: Select all

x = 53, y = 111, rule = B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8
9b3o$7b25o$8b4obobobobobobobobobobo$7b25o$9b3o30$9b2o10b2o6b2o2$27bob
o$b3o2b3o18b3ob3o$2b2o3b2o22bobobo$b3o2b3o22b5o$35bo$27b3o$27bobo$12b
2o3b2o8b3o8b2o3b2o$11bobo2bobo19bobo2bobo$12b2o3b2o19b2o3b2o2$27b3o$27b
obo$22b3o2b3o2b3o$23b2o7b2o$22b3o2bobo2b3o$27b3o$27b3o12bo$42b3o$42bo
bo$42b3o$27bobo$27b3o21b2o$27b3o22bo$23b2o$24bo$28bo$27bobo$27b3o17b3o
$47bob4o$47b3obo$47bob4o$27bobo17b3o$27b3o$27b3o$44bo$44b3o$28bo15bob
o$27bobo14b6o$27b3o15bobobo$43b7o$44bo$44b2o$27bobo$27b3o$15b3o9b3o$15b
obo$14b2o$15bo12bo$15b3o9bobo$17bo9b3o$17b2o3$27bobo$12bo14b3o$12b3o12b
3o$14b3o$14bobo$13b4o9b6o$13bo13b3obo$27bob3o$27b3o$28bo$48b2o2bo$13b
o35bo$10b4o5b3o27b4o$6b2o3bobo5bobo29bo$7b15o$7bobobobobobobo30bo$9b11o
30b2o$13bobo$2o11b3o$o14bo31bo$47b2o!
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pifricted
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by pifricted »

islptng wrote: January 24th, 2025, 4:11 am This rule is omniperiodic! (I'm just too lazy to dump the nbsearch2 results. There are period 1-14 oscillators.)
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Where is the p13?
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by islptng »

pifricted wrote: January 24th, 2025, 8:49 pm Where is the p13?
The reflector has a repeat time of 12, which allows the construction of p13. I'm bad at this though.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by confocaloid »

Here are explicit p2 c/2o spaceship loop oscillators, p12, p13, p14, ...:

Code: Select all

x = 68, y = 34, rule = B2cei3ejy4cejkqrw5-ai6-a7c/S1c2ae3eijnr4-acqt5cenry6-ae7e8
3o4b5o8b3o4b5o8b3o4b5o$obo4bobobo8bobo4bobobo8bobo4bobobo$3o3b6o8b3o4b
5o8b3o4b5o$obo4b3o10bobo17bobo3bobo$3o3b4o10b3o4bobo10b3o4bobo$7b3o17b
3o17b3o$2b3o17b3o2b3o$2b3o17bobo17b3o$2bobo18bo18bobo$7bobo33bo$7b3o
18bo19bo$7b3o17bobo17bobo$2b3o17b3o2b3o17b3o$2b3o17b3o$2bobo17bobo17b
3o$7bobo32bobo$7b3o33bo$7b3o17bobo18bo11b2ob2ob2o$2b3o22b3o17bobo10b2o
b2ob2o$2b3o17b3o2b3o17b3o$2bobo17bobo$7bobo13bo18b3o$7b3o32bobo$7b3o
18bo14bo$2b3o22bobo18bo$2b4o3b3o10b3o2b3o17bobo$2b3o4bobo10b3o22b3o$6o
3b3o10bobo4b3o$obobo4bobo17bobo10b3o$5o4b3o8b5o4b3o10bobo4b3o$20bobobo
4bobo11bobo3bobo$20b5o4b3o8b5o4b3o$40bobobo4bobo$40b5o4b3o!
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islptng wrote: January 24th, 2025, 8:53 pm
pifricted wrote: January 24th, 2025, 8:49 pm Where is the p13?
The reflector has a repeat time of 12, which allows the construction of p13. I'm bad at this though.
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