Thread For Your Unrecognised CA

For discussion of other cellular automata.
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confocaloid
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Re: Thread For Your Unrecognised CA

Post by confocaloid »

b-engine wrote: May 3rd, 2025, 7:35 am [...] common 7x7 checkerboard-like still lifes.
This 2-spaceship collision produces 18 of them: [...]
The evolutionary sequence from a diagonal line of three alive cells to that still-life is compatible with the glider from CGoL. Finding other interesting stuff TBD.

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#C Two-state isotropic cellular automaton, defined using a weighted
#C neighbourhood with the following weights (in hexadecimal):
#C ====================
#C 7D -- 7D 01 7D -- 7D
#C -- 7D -- -- -- 7D --
#C 7D -- 05 19 05 -- 7D
#C 01 -- 19 -- 19 -- 01
#C 7D -- 05 19 05 -- 7D
#C -- 7D -- -- -- 7D --
#C 7D -- 7D 01 7D -- 7D
#C ====================
#C [[ GRID THEME MCell ]]
x = 64, y = 32, rule = R3,C0,S2,30-35,50-56,130,155-181,191,261-262,280-286,305-306,386,405-410,412-427,430-431,481,510-536,555,635-663,666-675,701,760-781,895-1012,1026,1037,1057,1186,1207,1298-1336,1433-1520,B35-36,50-56,70,75,141,160-161,180-181,285-287,300,302,305-307,325,340,379,391,406,411,430-431,434,467,480,535-557,596,645,701-702,836,840,900,961,1011,1040,1276,1287,NW7D007D017D007D007D0000007D007D00051905007D010019001900017D00051905007D007D0000007D007D007D017D007D
22b2o$22bo$22bo23bo15b2o$45bobo11b5o$44bo2bo11b2o$45b2o6$bo$2bo$3o58b
2o$41b2o7bo12bo$41b2o7bo9bo$50bo10b2o$20bo$18b2o$19b2o10$45bo16bo$46bo
16bo$47bo13b3o!
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
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Re: Thread For Your Unrecognised CA

Post by b-engine »

b-engine wrote: May 3rd, 2025, 7:35 am This rule have common 7x7 checkerboard-like still lifes.
This 2-spaceship collision produces 18 of them:

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x = 11, y = 11, rule = B2eik3aijy4iz5jknq6i7c/S1c2cek3n4c5ek
8bobo$9bo7$o$bo$o!
This failed replicator results in a 5678-gen methuselah:

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x = 11, y = 11, rule = B2eik3aijy4iz5jknq6i7c/S1c2cek3n4c5eky
8bobo$9bo7$o$bo$o!
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Re: Thread For Your Unrecognised CA

Post by CARuler »

Supersuthiastic wrote: May 2nd, 2025, 6:10 pm some binary stuff:

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x = 20, y = 20, rule = R1,C0,S1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,B1,3,5-7,9,11,13,15,17,19-21,23,25-27,29,31,33-37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,NW121212060006020102
b4obobo3b3ob2o$bo2b2o3b2ob2o2b3o$b3ob3o5bo4b2o$3o2b2o4bo4bo2bo$bobo3bo
3b3o2b4o$o2bob2o2b7o2bo$bobo3bo2bo2bob2ob2o$o2b2obob4ob2obo$o2b3ob5ob
3o2bo$4b5ob7o2bo$obo5b4o2bob3o$b3o3bo4b2obo2bo$b2o2bob3o4bo$o2b2o2bobo
b2ob3o$2b4o4b4o2b4o$o2b4obo5b3o$bo2b2ob6o4b3o$3b3obo2bobo2b5o$3b2ob3o
2bo2b2ob3o$bobo4bo3bobo3b2o!
reduced:

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x = 3, y = 3, rule = R1,C0,S1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,B1,3,5-7,9,11,13,15,17,19-21,23,25-27,29,31,33-37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,NW121212060006020102
3o$obo$obo!

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x = 1, y = 1, rule = R1,C2,S1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,B1,3,5-7,9,11,13,15,17,19-21,23,25-27,29,31,33-37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,NW121212060006020102
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Re: Thread For Your Unrecognised CA

Post by rabbit »

A very compact RRO-based gun, where the histories of each oscillator overlap considerably with eachother:

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x = 23, y = 11, rule = B3-c4ce5jn/S2-i3
14bo$13bobo$b3o9bob2o$bo2bo8bobo$o3bo6bob2o$4o7bo2bo$bo9b3o3$20b3o$21b
o!
It is period-120 and shoots c/5 T-ships. I had found it by hand but it showed up in a soup as well.

There's actually quite a lot to say about this particular rule. A lot of its important mechanisms happen to oscillate in multiples of 10. Besides the T-ship, there are basic spaceships at 4c/20, 32c/160, and an unexpected 4c/128 from two colliding RRO's:

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x = 75, y = 28, rule = B3-c4ce5jn/S2-i3
3b2o21b2o42bob2o7b2obo$3b2o21b2o42bo2bo7bo2bo$22bo47b3o9b3o$21b3o$21bo
b2o$25bo$23bobo$23b3o$2bo$b3o16bo$o2b2o$3o5$22bo$3b2o16b3o$3bo16bo2b2o
$3b3o14b3o6$23b2o$23bo$23b3o!
If you notice, 32c/160 simplifies down to c/5 as well, so it can actually be perturbed using T-ships along with other copies of itself. This yields a lot more p20x c/5 spaceships and puffers.

I will be running more searches to see what else appears.
That's the bunny.
Check out my OCA exploration script, crule.lua!
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Re: Thread For Your Unrecognised CA

Post by CARuler »

rabbit wrote: May 4th, 2025, 10:24 am A very compact RRO-based gun, where the histories of each oscillator overlap considerably with eachother:

Code: Select all

x = 23, y = 11, rule = B3-c4ce5jn/S2-i3
14bo$13bobo$b3o9bob2o$bo2bo8bobo$o3bo6bob2o$4o7bo2bo$bo9b3o3$20b3o$21b
o!
It is period-120 and shoots c/5 T-ships. I had found it by hand but it showed up in a soup as well.
capped

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x = 23, y = 35, rule = B3-c4ce5jn/S2-i3
14bo$13bobo$b3o9bob2o$bo2bo8bobo$o3bo6bob2o$4o7bo2bo$bo9b3o3$20b3o$21b
o22$21bo$20bobo$21bo!
edit:
rabbit wrote: May 4th, 2025, 10:24 am
There's actually quite a lot to say about this particular rule. A lot of its important mechanisms happen to oscillate in multiples of 10. Besides the T-ship, there are basic spaceships at 4c/20, 32c/160, and an unexpected 4c/128 from two colliding RRO's:

Code: Select all

x = 75, y = 28, rule = B3-c4ce5jn/S2-i3
3b2o21b2o42bob2o7b2obo$3b2o21b2o42bo2bo7bo2bo$22bo47b3o9b3o$21b3o$21bo
b2o$25bo$23bobo$23b3o$2bo$b3o16bo$o2b2o$3o5$22bo$3b2o16b3o$3bo16bo2b2o
$3b3o14b3o6$23b2o$23bo$23b3o!
If you notice, 32c/160 simplifies down to c/5 as well, so it can actually be perturbed using T-ships along with other copies of itself. This yields a lot more p20x c/5 spaceships and puffers.

I will be running more searches to see what else appears.
the frontend creates the ship

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x = 6, y = 12, rule = B3-c4ce5jn/S2-i3
2bo$b3o$o2b2o$3o6$3b2o$3bo$3b3o!
edit2:
there is probably an easier way to make a block

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x = 27, y = 31, rule = B3-c4ce5jn/S2-i3
14b3o$15bo17$o$2o$o$26bo$25b2o$26bo6$9bo$8b3o!
edit3:
beehive

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x = 27, y = 30, rule = B3-c4ce5jn/S2-i3
14b3o$15bo16$o$2o$o$26bo$25b2o$26bo6$9bo$8b3o!
edit4:
loaf

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x = 27, y = 29, rule = B3-c4ce5jn/S2-i3
14b3o$15bo15$o$2o$o$26bo$25b2o$26bo6$9bo$8b3o!
edit5:
boat

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x = 27, y = 28, rule = B3-c4ce5jn/S2-i3
14b3o$15bo14$o$2o$o$26bo$25b2o$26bo6$9bo$8b3o!
edit6:
block again

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x = 27, y = 27, rule = B3-c4ce5jn/S2-i3
14b3o$15bo13$o$2o$o$26bo$25b2o$26bo6$9bo$8b3o!
edit7:
block yet again

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x = 27, y = 32, rule = B3-c4ce5jn/S2-i3
14b3o$15bo18$o$2o$o$26bo$25b2o$26bo6$9bo$8b3o!
edit8:
could be used in something else

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x = 27, y = 33, rule = B3-c4ce5jn/S2-i3
14b3o$15bo19$o$2o$o$26bo$25b2o$26bo6$9bo$8b3o!
edit9:
beehive again

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x = 27, y = 35, rule = B3-c4ce5jn/S2-i3
14b3o$15bo21$o$2o$o$26bo$25b2o$26bo6$9bo$8b3o!
edit10:
boat+random reaction

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x = 81, y = 57, rule = B3-c4ce5jn/S2-i3
13b3o$14bo52b3o$68bo19$o$2o52bo$o53b2o$26bo27bo$25b2o53bo$26bo52b2o$80b
o5$9bo$8b3o52bo$62b3o19$8bo$7b3o$62bo$61b3o!
edit11:
over the top block synth

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x = 58, y = 55, rule = B3-c4ce5jn/S2-i3
31b3o$32bo21$45b3o$46bo18$o$2o29bo$o30b2o$31bo$57bo$56b2o$57bo6$40bo$
39b3o!
edit12:
beehive-> big ship

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x = 5, y = 20, rule = B3-c4ce5jn/S2-i3
2b2o$bo2bo$2b2o16$bo$3o!
edit13:
different big ship seed

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x = 8, y = 32, rule = B3-c4ce5jn/S2-i3
6b2o$6b2o11$2b2o$bo2bo$2b2o16$bo$3o!
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Re: Thread For Your Unrecognised CA

Post by Naszvadi »

b-engine wrote: May 3rd, 2025, 7:35 am This rule have common 7x7 checkerboard-like still lifes.
This 2-spaceship collision produces 18 of them:

Code: Select all

x = 11, y = 11, rule = B2eik3aijy4iz5jknq6i7c/S1c2cek3n4c5ek
8bobo$9bo7$o$bo$o!
(6,13)c/34 explosive puffer:

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x = 4, y = 3, rule = B2eik3aijy4i5jkn6i7c/S1c2cek3n4cq5ek
b3o$o2bo$2o!
Stabilized:

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x = 13, y = 22, rule = B2eik3aijy4i5jkn/S1c2cek3n4cq5ek
b3o$o2bo$2o6$5b2o$7bo$3bob2obo$9bo$11b2o$8b3obo5$3bo$5bo$2bo2bo$2b3o!
Corderization completed:

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x = 651, y = 1177, rule = B2eik3aijy4i5jkn/S1c2cek3n4cq5ek
90b3o$88b2o2bo5bo$88bo$88b3o4bo5bo$98bo2$86bo5bo3bo3bo2bo$86bo$89bobo
6bo$101bo$88bo2b2o2bo$91bo2bo3bo$91b3o7$101bo28b2o$99b2obo27bobo$99bob
o30bo$99bo3bo28bo32bo$101bo64bo$167bo$166b2o$199b3o$201bo$202bo4$100bo
bo$101bo$219b3o$219bobo7$207b3o$207bobo7$195b3o$195bobo$117bo$115b2ob
2o$114bo5bo$114bobobobo$113bo7bo$113bo7bo$114bobobobo62b3o$114bo5bo62b
obo$115b2ob2o$117bo5$171b3o$171bobo7$159b3o$159bobo7$147b3o$112b3o32bo
bo$4bo107bobo$2b2ob2o$bobo2bo$o3bobo$o3bo$bo$98b3o34b3o$98bobo34bobo2$
8b2o$7bo57b3o$12b2o49b2o3bo$12b2o48bo4bobo$11bob2o47b2ob2o$13b2o47b2o
22b3o34b3o$13bobo46b2o22bobo34bobo$13b2o$12bobo$12b2o2$6b2o$6bobo22b3o
$8bo24bo40b3o34b3o$5bo3bo24bo39bobo34bobo$4bo$4bobo$4bobo$5bo3$99b3o$
99bobo4$63bobo$25b3o36bo$23b2o$87b3o$28bo58bobo$23bo$79bo$73bo4bobo$
79b2o$74bo$75b3o$22bo2bo48bo3bo$22bo2bo47bo4bo11b2o3b2o$19bo54bo3bo11b
2o3b2o$18bo2bo53b3o$18bobobo$18bo2bo$19bo3bo$20b3o69bobo$93bo11$74bobo
$75bo10$35b3o$34bo3bo$34b2ob2o$19bobo12b2ob2o$19b3o12bo3bo$35b3o6$78bo
bo$79bo13$47b3o$46bo3bo$45bo2bo2bo$45b2o3b2o$45b2o3b2o$45bo2bo2bo$46bo
3bo$47b3o5$104bobo$105bo11$86bobo$59b3o25bo$57b3ob3o$57b2o3b2o$56b2o2b
o2b2o$56b2o5b2o$56b2o5b2o$56b2o2bo2b2o$57b2o3b2o$57b3ob3o$59b3o4$31bob
o$31b3o7$90bobo$91bo6$71b3o$70bo3bo$70b2ob2o$70b2ob2o$70bo3bo$71b3o14$
116bobo$117bo5$83b3o$82bo3bo$81bo2bo2bo$81b2o3b2o$81b2o3b2o$81bo2bo2bo
$82bo3bo11bobo$83b3o13bo13$43bobo$43b3o4$95b3o$93b3ob3o$93b2o3b2o$92b
2o2bo2b2obobo$92b2o5b2o2bo$92b2o5b2o$92b2o2bo2b2o$93b2o3b2o$93b3ob3o$
95b3o8$117bo$118bo$117bo5$104bo2$102bo$102bo$102bo2bo$103bobo22bobo$
103b3o23bo$134bo$135bo$134bo10$163bo$164bo$163bo5$119b2o$117b2o$116bo$
116bo$116bobo$55bobo59b2o$55b3o$180bo$181bo$180bo10$209bo$210bo$209bo
7$131b3o$130bo3bo$129bo$133bo2$226bo$227bo$226bo4$140bobo$141bo5$255bo
$256bo$255bo9$143b3o$143bobo$143bo2bo$146bo125bo$146bo126bo$272bo$144b
o3$67bobo$67b3o5$301bo$302bo$301bo11$19b3o$17b2o2bo5bo290bo$17bo7b2ob
2o289bo$16b2obo4bo5bo287bo$16bo2bo4bo2bo2bo$16bo6bo2bobo2bo$16bo3bo3bo
2bo2bo$17bo3bo2bo5bo$17bo4bo2b2ob2o467bo$18b2o2bo4bo467b2obo$20b3o471b
obo2bo$494bobo$495bobo$347bo$348bo$347bo2$501b2o$499b2o2b2o$30bo27b3o
438b2o4bo$29bob2o27bo441bobobo$28bo2b2o28bo439bo3b2o$31b2o60b2o411bo$
30bo62bobo410bo$95bo408b3o$95bo32bo$129bo$130bo233bo$129b2o234bo132b3o
23bo$162b3o199bo135bo24bo$29bobo132bo332b2obo25bo$30bo134bo333b2o24b2o
$197b2o298bob2o57b3o$197bobo298bo61bo$199bo361bo$199bo32bo360b2o$233bo
359bobo$234bo360bo$233b2o360bo32bo$266b3o124bo235bo$268bo125bo235bo$
79bobo187bo123bo235b2o$79b3o219b2o$301bobo$303bo217bo$303bo32bo179b5o$
337bo177bo$338bo180b2o$337b2o178bob2o$370b3o$372bo$373bo145b2o$46bo
469bo$44b2ob2o468b2o2bo127bo$44bo3bo468b2o129bobo$43bo2bo2bo463bo2bo$
43bo2bo2bo462bo$44bo3bo463b2o$44b2ob2o463bobobo$46bo466b3o2$637bo$636b
obo3$439bo$440bo$439bo2$625bo$624bobo7$58bo554bo$56b2ob2o551bobo$55bo
5bo$55bobobobo$54bo7bo465b3o$54bo7bo463b3ob3o$55bobobobo464b2o3b2o$55b
o5bo463b2o2bo2b2o$56b2ob2o451bobo10b2o5b2o67bo$58bo453b3o10b2o5b2o66bo
bo$525b2o2bo2b2o$526b2o3b2o$526b3ob3o$41bobo484b3o$42bo442bo$486bo$
485bo103bo$588bobo7$91bobo483bo$70bo20b3o147b3o332bobo$239b2o2bo5bo$
239bo$70bo168b3o4bo5bo$69bobo177bo$65bo2bo3bo2bo$65bo2bo3bo2bo161bo5bo
3bo3bo2bo$69bobo165bo302b3o22bo$70bo169bobo6bo289bo3bo20bobo$252bo286b
2ob2o$239bo2b2o2bo292b2ob2o$70bo171bo2bo3bo289bo3bo$242b3o295b3o3$531b
o21bo$532bo19bobo$531bo2$252bo28b2o$250b2obo27bobo$250bobo30bo$250bo3b
o28bo32bo$252bo64bo$318bo$317b2o$350b3o$352bo$82bo270bo$80b2ob2o$80bo
3bo$79bo2bo2bo$79bo2bo2bo165bobo$80bo3bo167bo$80b2ob2o285b3o$82bo287bo
bo7$358b3o$358bobo163bobo$524b3o4$53bobo$54bo$346b3o$346bobo$268bo$94b
o171b2ob2o$92b2ob2o168bo5bo$91bo5bo167bobobobo$91bobobobo166bo7bo$90bo
7bo165bo7bo$90bo7bo166bobobobo62b3o$91bobobobo5bobo159bo5bo62bobo$91bo
5bo5b3o160b2ob2o$92b2ob2o171bo$94bo4$322b3o$322bobo7$310b3o$310bobo3$
106bo3$106bo$105bobo190b3o$101bo2bo3bo2bo151b3o32bobo$101bo2bo3bo2bo
43bo107bobo$105bobo45b2ob2o$106bo45bobo2bo$151bo3bobo$151bo3bo$106bo
45bo$249b3o34b3o$249bobo34bobo2$159b2o$158bo57b3o$163b2o49b2o3bo$163b
2o48bo4bobo$162bob2o47b2ob2o$164b2o47b2o22b3o34b3o$164bobo46b2o22bobo
34bobo$106b2o56b2o$106bo56bobo$106b2o55b2o$536bobo$157b2o377b3o$157bob
o22b3o$159bo24bo40b3o34b3o$156bo3bo24bo39bobo34bobo$65bobo87bo$66bo88b
obo$155bobo$156bo3$250b3o$250bobo4$214bobo$176b3o36bo$174b2o$238b3o$
179bo58bobo$174bo$230bo$84b2o138bo4bobo$84bo145b2o$84b2o139bo$226b3o$
173bo2bo48bo3bo$173bo2bo47bo4bo11b2o3b2o$170bo54bo3bo11b2o3b2o$169bo2b
o53b3o$169bobobo$169bo2bo$170bo3bo$171b3o69bobo$244bo11$225bobo$226bo
10$186b3o$185bo3bo$185b2ob2o$170bobo12b2ob2o358bobo$170b3o12bo3bo358b
3o$186b3o6$229bobo$230bo13$198b3o$197bo3bo$196bo2bo2bo$196b2o3b2o$196b
2o3b2o$196bo2bo2bo$197bo3bo$198b3o5$255bobo$256bo11$237bobo$210b3o25bo
$208b3ob3o$208b2o3b2o$207b2o2bo2b2o$207b2o5b2o$207b2o5b2o$207b2o2bo2b
2o$208b2o3b2o$208b3ob3o$210b3o4$182bobo375bobo$182b3o375b3o7$241bobo$
242bo6$222b3o$221bo3bo$221b2ob2o$221b2ob2o$221bo3bo$222b3o14$267bobo$
268bo5$234b3o$233bo3bo$232bo2bo2bo$232b2o3b2o$232b2o3b2o$232bo2bo2bo$
233bo3bo11bobo$234b3o13bo13$194bobo375bobo$194b3o375b3o4$246b3o$244b3o
b3o$244b2o3b2o$243b2o2bo2b2obobo$243b2o5b2o2bo$243b2o5b2o$243b2o2bo2b
2o$244b2o3b2o$244b3ob3o$246b3o8$268bo$269bo$268bo5$255bo2$253bo$253bo$
253bo2bo$254bobo22bobo$254b3o23bo$285bo$286bo$285bo10$314bo$315bo$314b
o5$270b2o$268b2o$267bo$267bo$267bobo$206bobo59b2o314bobo$206b3o375b3o$
331bo$332bo$331bo10$360bo$361bo$360bo7$282b3o$281bo3bo$280bo$284bo2$
377bo$378bo$377bo4$291bobo$292bo5$406bo$407bo$406bo9$294b3o$294bobo$
294bo2bo$297bo125bo$297bo126bo$423bo$295bo3$218bobo375bobo$218b3o375b
3o5$452bo$453bo$452bo11$170b3o$168b2o2bo5bo290bo$168bo7b2ob2o289bo$
167b2obo4bo5bo287bo$167bo2bo4bo2bo2bo$167bo6bo2bobo2bo$167bo3bo3bo2bo
2bo$168bo3bo2bo5bo$168bo4bo2b2ob2o$169b2o2bo4bo$171b3o3$498bo$499bo$
498bo4$181bo27b3o$180bob2o27bo$179bo2b2o28bo$182b2o60b2o$181bo62bobo$
246bo$246bo32bo$280bo$281bo233bo$280b2o234bo$313b3o199bo$180bobo132bo$
181bo134bo$348b2o$348bobo$350bo$350bo32bo$384bo$385bo$384b2o$417b3o
124bo$419bo125bo$230bobo187bo123bo63bobo$230b3o219b2o154b3o$452bobo$
454bo$454bo32bo$488bo$489bo$488b2o$521b3o$523bo$524bo$197bo$195b2ob2o$
195bo3bo$194bo2bo2bo$194bo2bo2bo$195bo3bo$195b2ob2o$197bo6$590bo$591bo
$590bo10$209bo$207b2ob2o$206bo5bo$206bobobobo$205bo7bo$205bo7bo$206bob
obobo$206bo5bo$207b2ob2o$209bo4$192bobo$193bo10$242bobo$221bo20b3o3$
221bo$220bobo$216bo2bo3bo2bo$216bo2bo3bo2bo$220bobo$221bo3$221bo17$
233bo$231b2ob2o$231bo3bo$230bo2bo2bo$230bo2bo2bo$231bo3bo$231b2ob2o$
233bo13$204bobo$205bo4$245bo$243b2ob2o$242bo5bo$242bobobobo$241bo7bo$
241bo7bo$242bobobobo5bobo$242bo5bo5b3o$243b2ob2o$245bo16$257bo3$257bo$
256bobo$252bo2bo3bo2bo$252bo2bo3bo2bo$256bobo$257bo3$257bo11$257b2o$
257bo$257b2o6$216bobo$217bo17$235b2o$235bo$235b2o!
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R2INT
Posts: 815
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Re: Thread For Your Unrecognised CA

Post by R2INT »

All of the 5T syntheses:

Code: Select all

x = 448, y = 558, rule = B3-c4ce5jn/S2-i3
9bo59bo62bo64bo61bo64bo58bo60bo$8b2o58b2o61b2o63b2o60b2o63b2o57b2o59b
2o$9bo59bo62bo64bo61bo64bo58bo60bo6$bo58bo61bo63bo60bo63bo57bo59bo$3o
56b3o59b3o61b3o58b3o61b3o55b3o57b3o44$8b2o58b2o61b2o63b2o60b2o63b2o57b
2o59b2o$8b3o57b3o60b3o62b3o59b3o62b3o56b3o58b3o$8b2o58b2o61b2o63b2o60b
2o63b2o57b2o59b2o6$bo58bo61bo63bo60bo63bo57bo59bo$3o56b3o59b3o61b3o58b
3o61b3o55b3o57b3o47$8bobo57bobo60bobo62bobo59bobo62bobo56bobo58bobo$7b
o2bo56bo2bo59bo2bo61bo2bo58bo2bo61bo2bo55bo2bo57bo2bo$8bobo57bobo60bo
bo62bobo59bobo62bobo56bobo58bobo6$bo58bo61bo63bo60bo63bo57bo59bo$3o56b
3o59b3o61b3o58b3o61b3o55b3o57b3o48$71bo60bo64bo62bo64bo58bo60bo$69b2o
2bo56b2o2bo60b2o2bo58b2o2bo60b2o2bo54b2o2bo56b2o2bo$71bo60bo64bo62bo64b
o58bo60bo6$61bo59bo63bo61bo63bo57bo59bo$60b3o57b3o61b3o59b3o61b3o55b3o
57b3o53$70bo60bo64bo62bo64bo58bo60bo$70b3o58b3o62b3o60b3o62b3o56b3o58b
3o$70bo60bo64bo62bo64bo58bo60bo6$61bo59bo63bo61bo63bo57bo59bo$60b3o57b
3o61b3o59b3o61b3o55b3o57b3o96$105b3o47b3o47b3o48b3o45b3o$106bo49bo49b
o50bo47bo12$106bo48bo48bo49bo46bo$105b3o46b3o46b3o47b3o44b3o26$106bo49b
o49bo50bo47bo$105b3o47b3o47b3o48b3o45b3o$105b3o47b3o47b3o48b3o45b3o12$
106bo48bo48bo49bo46bo$105b3o46b3o46b3o47b3o44b3o29$106b3o47b3o47b3o48b
3o45b3o2$106bobo47bobo47bobo48bobo45bobo$107bo49bo49bo50bo47bo11$107b
o48bo48bo49bo46bo$106b3o46b3o46b3o47b3o44b3o26$107bo49bo49bo50bo47bo2$
106bobo47bobo47bobo48bobo45bobo$107bo49bo49bo50bo47bo$107bo49bo49bo50b
o47bo11$107bo48bo48bo49bo46bo$106b3o46b3o46b3o47b3o44b3o26$107bo49bo49b
o50bo47bo$107bo49bo49bo50bo47bo$106b3o47b3o47b3o48b3o45b3o12$107bo48b
o48bo49bo46bo$106b3o46b3o46b3o47b3o44b3o29$106b3o47b3o47b3o48b3o45b3o
$107bo49bo49bo50bo47bo11$107bo48bo48bo49bo46bo$106b3o46b3o46b3o47b3o44b
3o!
Collisions with various still lives:

Code: Select all

x = 260, y = 160, rule = B3-c4ce5jn/S2-i3
73b3o16b3o16b3o17b3o$74bo18bo18bo19bo5$70b2o18b2o18b2o19b2o$70b2o18b2o
18b2o19b2o33$4b3o27b3o29b3o28b3o28b3o27b3o30b3o28b3o28b3o$5bo29bo31bo
30bo30bo29bo32bo30bo30bo4$bo30bo32bo31bo31bo30bo33bo31bo31bo$obo28bob
o30bobo29bobo29bobo28bobo31bobo29bobo29bobo$b2o29b2o31b2o30b2o30b2o29b
2o32b2o30b2o30b2o18$4b3o27b3o29b3o28b3o28b3o27b3o30b3o28b3o28b3o$5bo29b
o31bo30bo30bo29bo32bo30bo30bo4$b2o29b2o31b2o30b2o30b2o29b2o32b2o30b2o
30b2o$obo28bobo30bobo29bobo29bobo28bobo31bobo29bobo29bobo$bo30bo32bo31b
o31bo30bo33bo31bo31bo36$11b3o34b3o36b3o34b3o28b3o$12bo36bo38bo36bo30b
o4$7b2o36b2o38b2o36b2o30b2o$6bo2bo34bo2bo36bo2bo34bo2bo28bo2bo$7b2o36b
2o38b2o36b2o30b2o36$12b3o33b3o33b3o33b3o32b3o$13bo35bo35bo35bo34bo4$9b
o36bo36bo36bo35bo$8bobo34bobo34bobo34bobo33bobo$8bobo34bobo34bobo34bo
bo33bobo$9bo36bo36bo36bo35bo!
Small spaceship collection:

Code: Select all

x = 168, y = 167, rule = B3-c4ce5jn/S2-i3
84bo3bo21bo3bo20bo3bo$83b3ob3o19b3ob3o18b3ob3o$82b2obobob2o17b2obobob
2o16b2obobob2o$81b2o7b2o15b2o7b2o14b2o7b2o15bo6bo$82bo7bo17bo7bo16bo7b
o15b3o4b3o$81b2o7b2o15b2o7b2o14b2o7b2o13bo2b2o2bo2b2o$79b2obobo3bobob
2o11b2obobo3bobob2o10b2obobo3bobob2o18b2obo$80bo3b2ob2o3bo13bo3b2ob2o
3bo12bo3b2ob2o3bo12b2obobob2ob2o$78b2o2bo7bo2b2o9b2o2bo7bo2b2o8b2o2bo
7bo2b2o$77b6obobobob6o7b6obobobob6o6b6obobobob6o13bo$81b3o5b3o15b3o5b
3o14b3o5b3o$77b2o4b2o3b2o4b2o7b2o4b2o3b2o4b2o6b2o4b2o3b2o4b2o$78bo15b
o9bo15bo8bo15bo$77bobo13bobo7bobo13bobo6bobo13bobo$78b2o13b2o9b2o$80b
4o5b4o13b4o$83bo5bo19bo$79b2o11b2o11b2o$83b2o3b2o19b2o59$81bo$80b4o4b
3o$79bo3b2o3b3o$80bo6bo3bo$83bo$82bo3b2obo$82bo5bo$84bo5bo$84bo3bo$82b
3o$81bo$82b2o26$13bo29bo37bo5bo$12b4o26b4o34bobo3bobo$11b2obo26b2obo34b
o2bo3bo2bo$6b2o2b2o24b2o2b2o37b4o3b4o$5bo4bo2bo21bo4bo2bo34b6ob6o$4bo
3bobob2o20bo3bobob2o33b2o11b2o$3bo2bo4bobo19bo2bo4bobo36bo7bo$3bo8bo20b
o8bo34b2obobo3bobob2o$5bo6b5o18bo6b5o$9b3o3b2o22b3o3b2o33b2o5b2o$3b3o
3bob2obo8bo9b3o3bob2obo37bo3bo$2b2o2bo2b3o2b3o5bo9b2o2bo2b3o2b3o32bob
2o3b2obo$b2o2bob2obo3b3o3b2o2bo6b2o2bob2obo3b3o32bo3bobo3bo$2o2b3obo5b
3o2b3o8b2o2b3obo5b3o34bo5bo$b2o5bob5o5b3o8b2o5bob5o38bobo$bo6b2ob3o17b
o6b2ob3o40bo$8b2ob3o24b2ob3o3$13bo$12b3o$12b3o$11bo2bo$10bo$12bo27$84b
o$83b3o!
Range-2 INT
R2INT's Rule Collection

Travelling Ts has surpassed LeapLife in post count, but not yet in technology.
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ThePlayzr
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B3678/S23 (GliderLife)

Post by ThePlayzr »

cool rule B3678/S23. It is impossible for a still life to work here but not on CGoL, but oscillators and spaceships might only work here.

Code: Select all

bob$2bo$3o!
I have edited this, no need for mod comment.
Last edited by ThePlayzr on June 22nd, 2025, 4:34 am, edited 2 times in total.
Please visit my rules (found on my wiki page) and contribute!
User:ThePlayzr
I have LLS and qfind.
Working on a jslife-like Travelling Ts pattern collection.
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b-engine
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Re: B3678/S23

Post by b-engine »

Do not make a new thread immediately every time you find a rule. Please post it at Miscellaneous Discoveries in OCA or Thread for your Unrecognized CA. If there are enough subsequent posts for the rule, then you could make a new thread. Notability also applies to the forums.

Apparently there's not much interesting natural objects in most outer-totalistic rules obtained by adding extra transitions to B3/S23, apart from those that already exist in Conway's Life.
Need a moderator to merge this into an existing thread.
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confocaloid
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Re: B3678/S23

Post by confocaloid »

ThePlayzr wrote: May 8th, 2025, 6:35 pm [...] I called B3678/S23 GliderLife because the glider behaves normally. [...]
This appears to be a nonnotable Life-like cellular automaton with an arbitrarily-invented "name" that could equally well apply to many other cellular automata.

There are a few mentions (e.g. viewtopic.php?p=136734#p136734 viewtopic.php?p=21774#p21774 ) but that fails to add up to evidence of sufficient notability to deserve a newly-created separate thread.

The first post also doesn't tell any reasons why this specific cellular automaton could deserve more attention than it would get in an already existing forum thread like MDiOCA or TFYUCA.
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.
mmmmmmmmm
Posts: 247
Joined: May 7th, 2025, 3:53 am

Re: B3678/S23

Post by mmmmmmmmm »

the pi-heptomino is now a long lasting spark

Code: Select all

x = 0, y = 0, rule = B3678/S23
b3o$o3bo$2ob2o

mmmmmmmmm, I love eating spaceships.
My name has 9 'm's, if you're wondering.
ThePlayzr's younger cousin
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hotcrystal0
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Re: Thread For Your Unrecognised CA

Post by hotcrystal0 »

P258 gun in my rule MLife:

Code: Select all

x = 63, y = 42, rule = Mlife
53.2A$53.A2.2A$54.2A.3A$60.A$11.2A41.2A.3A$11.A42.2A.A$3.2A3.2A.A$3.A
4.A.A$4.3A.A$6.A.2A2$2.2A$3.A$3.A.A$4.2A55.2A$61.2A2$16.A$15.A2.A$15.
A2.2A$20.A$15.2A3.A16.A$14.A4.A17.A.A$14.A3.A18.3A$15.3A21.A2$2A$2A55.
2A$57.A.A$59.A$59.2A2$53.2A.A$54.A.3A$52.A.A4.A$51.A.2A3.2A$5.A.2A42.
A$3.3A.2A41.2A$2.A$3.2AB.2A$5.BA2.A$8.2A!
Edit: Reduced with cursed “still lives” that are actually oscillators:

Code: Select all

x = 63, y = 42, rule = Mlife
53.2A$53.A2.2A$54.2A.3A$60.A$11.2A41.2A.3A$11.A42.2A.A$8.2A.A$5.A2.A.
A$5.AB.A$6.A.2A2$2.2A$3.A$3.A.A$4.2A55.2A$61.2A2$16.A$15.A2.A$15.A2.2A
$20.A$15.2A3.A16.A$14.A4.A17.A.A$14.A3.A18.3A$15.3A21.A2$2A$2A55.2A$57.
A.A$59.A$59.2A2$53.2A.A$54.A.BA$52.A.A2.A$51.A.2A$5.A.2A42.A$3.3A.2A41.
2A$2.A$3.2AB.2A$5.BA2.A$8.2A!
131 days until New York's age verification law goes into effect.

Code: Select all

x = 192, y = 53, rule = B3/S23
33$42b4o$41b6o$40b2ob4o$41b2o3$41b2o$39bo6bo$38bo8bo$38bo8bo$38b9o3$42b
4o$41b6o$40b2ob4o$41b2o!
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b-engine
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Re: Thread For Your Unrecognised CA

Post by b-engine »

One of B134 only occurs if a cell survives one of S14 for two generations:

Code: Select all

#R B1old
! 
[[ RANDOMIZE ]]
@RULE B1old
@TABLE 
n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var a1=a
var a2=a
var a3=a
var a4=a
var a5=a
var a6=a
var a7=a
var a8=a
var b={1,2}
var b1=b
var b2=b
var b3=b

0,0,2,0,0,0,0,0,0,1
0,2,2,2,a,0,0,0,0,1
1,0,b,0,0,0,0,0,0,0
1,a,0,0,0,0,0,0,0,2
1,b,b1,b2,b3,0,0,0,0,2

a,a1,a2,a3,a4,a5,a6,a7,a8,0
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unname4798
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Re: Thread For Your Unrecognised CA

Post by unname4798 »

Accurate rule to your description:

Code: Select all

#R B1old
!
@RULE B1old
@TABLE
n_states:4
neighborhood:Moore
symmetries:permute
var a={0,1,2,3}
var b=a
var c=a
var d=a
var e=a
var f=a
var g=a
var h=a
var i=a
var j={1,2,3}
var k=j
var l=j
var m=j
var n={2,3}
0,n,0,0,0,0,0,0,0,1
0,n,n,n,0,0,0,0,0,1
0,n,n,n,n,0,0,0,0,1
1,j,0,0,0,0,0,0,0,2
2,j,0,0,0,0,0,0,0,2
1,j,k,l,m,0,0,0,0,3
3,j,k,l,m,0,0,0,0,3
a,b,c,d,e,f,g,h,i,0
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confocaloid
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Re: Thread For Your Unrecognised CA

Post by confocaloid »

b-engine wrote: May 9th, 2025, 9:51 am One of B134 only occurs if a cell survives one of S14 for two generations: [...]
I don't think that's either accurate or clear enough to be implemented.

Without additional clarifications,
  • B1, B3, B4, S1, S4 can be seen as cell conditions (telling something about current states of cells),
  • or they can be seen as rules ("if the cell is in such-and-such condition, then it will have such-and-such state in the next generation").
The wording "One of B134 only occurs if..." suggests that you are talking about cell conditions, which indeed may or may not occur in the pattern. However, that doesn't seem to be compatible with the idea that whether or not it "occurs" could depend on the past history of cells. Whether or not a cell condition occurs in a given pattern, only depends on that pattern, and doesn't depend on how the pattern evolved before.

I think one of several possible interpretations could be:

> "One of rules B1, B3, B4 is only followed, if a cell survived because of one of rules S1, S4 twice in a row"

but it is hard to tell whether or not it captures the intended meaning (which wasn't explained well enough), and even if an accurate guess of what was intended, it sounds incomplete (missing further details that would be needed to tell how the implementation should work; for example, is this intended to be an "exception"-type rule from some general ruleset that would apply by default? Also, in what sense a birth rule (B1, B3, B4) is supposed to be followed for a cell that survived and hence is currently alive?)

See also my breakdown of the ruletable you posted, in comments below.

Code: Select all

# Source for the rules: https://conwaylife.com/forums/viewtopic.php?p=211596#p211596
# (comments added)

@TABLE 
n_states:3
neighborhood:Moore
symmetries:permute

# Here, variables named "a*" are used for "any cellstate",
# and variables named "b*" are used for "any nonzero cellstate".

var a={0,1,2}
var a1=a
var a2=a
var a3=a
var a4=a
var a5=a
var a6=a
var a7=a
var a8=a
var b={1,2}
var b1=b
var b2=b
var b3=b

# This rule says that,
# if a state-0 cell has precisely one state-2 neighbour (and no other nonzero neighbours),
# then the cell becomes state-1 one tick later:
0,0,2,0,0,0,0,0,0,1

# This rule says that,
# if a state-0 cell has at least three state-2 neighbours and at least four state-0 neighbours,
# then the cell becomes state-1 one tick later:
0,2,2,2,a,0,0,0,0,1

# This rule says that, if a state-1 cell has precisely one nonzero neighbour,
# then the cell becomes state-0 one tick later:
1,0,b,0,0,0,0,0,0,0

# This rule says that, if a state-1 cell has at most one nonzero neighbour,
# then the cell becomes state-2 one tick later.
# However, due to the preceding rule (whose "if" part matches
# the cell condition "a state-1 cell with precisely one nonzero neighbour"),
# the effect of this rule is that a state-1 cell without any nonzero neighbours becomes state-2 one tick later:
1,a,0,0,0,0,0,0,0,2

# This rule says that, if a state-1 cell has precisely four nonzero neighbours,
# then the cell becomes state-2 one tick later.
1,b,b1,b2,b3,0,0,0,0,2

# This rule says that,
# in all other cases not covered by preceding rules,
# the cell's state in the next generation will be zero.
a,a1,a2,a3,a4,a5,a6,a7,a8,0
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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Nikro
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Re: Thread For Your Unrecognised CA

Post by Nikro »

Was looking at B2n3-cn4w6a7e/S234y5ikr6en7e for the past few days, and I'm still running ikpx2 searches on it even though I'm moving on with apgsearch. Here are some of the highlights:

The five natural ships (c/2o, 2c/4o, 4c/8o, 2c/16d, c/37d):

Code: Select all

x = 8, y = 47, rule = B2n3-cn4w6a7e/S234y5ikr6en7e
2b2o2bo$3bo2b2o$2b2o2bo4$3bobo$3bo2bo$5bobo$3b2o2bo$6b2o$4b2o$4bo4$bo
$ob2o2bo$b3o2b2o$3bo2bo4$5bo$5bo$6bo$5bobo$5bobo$5b3o14$6bo$5b3o$4bob
o$3b3obo$4bobo!
Two semi-natural ships exist but it's just more c/2o and 4c/8o.

Ships found with ikpx2 (c/3o, c/4o, c/5o, 2c/5o, c/4d, c/6d):

Code: Select all

x = 42, y = 112, rule = B2n3-cn4w6a7e/S234y5ikr6en7e
21b2obo7b2o$21b3ob2o5b3o$20bobo3b3o4b2o$12b2o12b3o4bobo$12bo2bob2obo5b
2obo5b2o$10b2o7b2o6bob2obo$11b2obobo2b2o5b2o5b2obobo$10b2o4b3o8bo3b2o
bo3bo$15b2o9b2o2bo6bobo$10b2o4b3o8bo3b2obo3bo$11b2obobo2b2o5b2o5b2obo
bo$10b2o7b2o6bob2obo$12bo2bob2obo5b2obo5b2o$12b2o12b3o4bobo$20bobo3b3o
4b2o$21b3ob2o5b3o$21b2obo7b2o4$37b2o$18bo6bo8bo2b3o$17bobo4bo2bo6b5o$
19b2o4bobob2o4bo$24bob2ob2o3b2o$20b2o6b2obob2o$17b2o2b8o4bo$17bo$17b2o
2b8o4bo$20b2o6b2obob2o$24bob2ob2o3b2o$19b2o4bobob2o4bo$17bobo4bo2bo6b
5o$18bo6bo8bo2b3o$37b2o4$36b2o$35bo2bo$34b3ob3o$34bo2bo$30b2ob3o2bobo
$10b3o15bob3ob2o3bo$9b2o2b3o9bob2o2b2o$9b3o2bob2o2bo3bo2b2ob3ob2o3bo$
16b2obobo2bo2bo2b2ob3o2bobo$16bo2b2obo11bo2bo$21b2o11b3ob3o$21b3o11bo
2bo$36b2o5$12bo3bo$12b2obo2bo$2bobo6bob2o3b2o2bo8bo2b3o$2ob4o4bo2bo3b
2obo2bo2bo2bobobo2b2o$o5b2obob2o5b2ob2o2b3o2bobo3bo2bo$4bo3bo2bo3bo2b
3o6b2o6b2ob2o$2bobobo11b2ob3o2bob2o10bo$4bo3bo2bo3bo2b3o6b2o6b2ob2o$o
5b2obob2o5b2ob2o2b3o2bobo3bo2bo$2ob4o4bo2bo3b2obo2bo2bo2bobobo2b2o$2b
obo6bob2o3b2o2bo8bo2b3o$12b2obo2bo$12bo3bo2$25b2o$27b2o$28b2o$26bo$27b
o3bo$32b2o$29bobo2bo2bo$29bo7b3o$31b2o5b2o$33b2ob2ob2o$35bobob2o$32bo
b2o3b2o$33bobobobo$34bo2b2o$34b2ob2o4$31bo$30b2o2$30b2o$25b2obob2o$25b
3o$33b2o$29bo3bobo$30bo4bo$32b3o6$26b3o$26b2o2bobo$27b6o$27b2ob2o$27b
2o$27b2o2b2o$29b7o$31b2obo$31b3o$32bo!
I included two c/6ds simply because I find it important to note that there are two surprisingly small c/6d ships with similar cell counts and completely different mechanisms.

Oscillators (not organized at all, though oscillators of the same period are next to each other):

Code: Select all

x = 140, y = 76, rule = B2n3-cn4w6a7e/S234y5ikr6en7e
5$52bo$24bob2o24b2o$24b2o27b2o$28bo25bo$27bobo$28b2o3$33bo48bo2bobo$33b
2o52bo$33b2o49bo3bo$27bo6bo50b2obo$6b2o4b2o13bo57b3o$6bobo2bobo13bo$8b
o2bo$8bo2bo2$18b2o$18bo2bo2$19bo2bo$21b2o2$31bo82b3o$30b2o34bo47b3o$30b
2o32b2o49bo$31bo32b2o$24b2o38b2o$22bo2bo40bo46b2o$21bo91b2o$24bo$20bo
2bo90bo$20b2o7b2o83bo$29bobo$31b3o62bo4bo11b3o$31b2obo61bo4bo11b3o17b
2obo$31bobo62bo4bo30b3ob2o$32bo62bo6bo30b2ob3o$74bo20b2o4b2o31bob2o$73b
obo$74bobo18b2o4b2o$75b2o19bo5bo$95bo5bo$78b2o15bo5bo$69b2o7bobo14bo5b
o14b2o$68b3o8bobo34b2o$69b2o9bo$120bo$119bobo$34b2o83b2o$34bo5b2o78b2o
$41bo16b2o$37bo20bobo60b2o$36bobo20b2obo59b2o$37bo23b2o14bobo41bobo$33b
o26b3o14bobo42bo$33b2o5bo35b2obo$26bo12b2o36bobo45b2o$25bobo50b2o45b2o
$26bo2$26bo$21bo3bobo3bo$20bobobo3bobobo$21bo3bobo3bo$26bo40bo2b3o$66b
obob2o$26bo40bo2b3o$25bobo$26bo!
Neither program has produced infinite growth yet.

ikpx will continue to search for ships in this rule - apgsearch is moving onto B2i3-n4ctw7c/S2-k34aw6e. Will report results.
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Re: Thread For Your Unrecognised CA

Post by splitterrules »

Rule with many objects, including a SMOSMOS and a gun.

Code: Select all

x = 251, y = 130, rule = B3aeiq4acijkz5aery6ikn7/S2-in3-a4cinry5cejnr6ci8
159b3o$158bo$159b4o$156bo3b2o$155bobo$155bob2o$155bob2o$157bo2$177b3o
4b3o$171b3o3bobo4bobo$172bo4b2ob4ob2o$177bob6obo13bo$144bo34b6o10b3o2b
2o10bo11bo22b3o$143b3o33b2o2b2o10bo3b3o9b2o11b2o21bobo$144bo34b2o2b2o
13bo11b3o11b3o19b5o$141bobo54b2o46bo3bo$140b3o54b3o46b2ob2o$141bob3o
51b2o$144b2o$144b2o10$124b3o$104b3o18bo98b3o$103bo2bo19bo97b3o$103bo
19b2o100bo$103b2o15bo2bobo94b2o7b2o$120b2o2b2o94bobo5bobo15b3o$120bobo
98bo3bo3bo15bo3bo$160b3o61bobo18b2ob2o$160b2o55b2o4bobobo4b2o$160bo7bo
48b3o2bobobobo2b3o$167b2o33bo14b2o4bobobo4b2o$166b3o55bobo$113bo71bo
16bo18bo3bo3bo$110bobobobo10b2o2bo2b2o13bo47b2o2b3o16bobo5bobo15b3o$
110b2obob2o10bo7bo11b2obo34bo11bo22b2o7b2o15bobo$55b2o55bobo13b2obob2o
11b4o34b3o2b2o6b2obo24bo20b3o$54bo2bo9b2obob2o38bobo15b3o14b3o40bo7b3o
23b3o17bobobobo$53bob2obo6bobob3obobo9bo5bo20bobo33bo38bob2o33b3o17b2o
bob2o$bo5bo28bobo15bo2bo7b2obobobob2o7b2obo3bob2o18bobo72b3o56bobo$ob
5obo9bob3obo8bob5obo12bo2bo9bobobobo9bob2o3b2obo16b2obob2o29bo100bo$bo
2bo2bo9bob5obo7b2obobob2o11bob2obo9bobobo12b2o3b2o18bobobobo14bo13bobo
$b2o3b2o10bobobobo10bobobo14bo2bo11bobo41bo16bobo13bo$35b2ob2o15b2o13b
o60bo$37bo$159b5o$158bo$159b5o6$177bo48bo$176bob2o44b2obo$177bobo44bob
o3$55bo$54b2o$53b2o79bo$57b2o74bobo$56b2o76bo36bo29b2o29bo$56bo113bobo
27b4o27bobo$171bo29b2o29bo2$118bo31bo$117bobo29bobo$118bo31bo3$177bobo
44bobo$176bob2o44b2obo$177bo48bo6$126bo15bo$82b3o3b3o34bobo13bobo$68bo
12bobob3obobo12bo20bobo13bobo$67bobo10bo11bo10bobo19bobo13bobo$68bo11b
2o3b3o3b2o11bo20bobo13bobo$80bo11bo32bobo13bobo$81bobob3obobo33bobo13b
obo$82b3o3b3o35bo15bo11$118bo31bo$117bobo29bobo$118bo31bo3$182bo30bo$
181bobo28bobo$182bo30bo6$197b2o$196b4o$197b2o6$182bo30bo$181bobo28bobo
$182bo30bo!
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CARuler
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Re: Thread For Your Unrecognised CA

Post by CARuler »

dl-rs wrote: May 11th, 2025, 4:59 am This, please.
Alt puffer

Code: Select all

x = 7, y = 31, rule = B2n36-an/S23-kq4c5r7e8
bobobo$obobobo$o5bo3$2b3o$2b3o$3bo5$3bo$2bobo$bo3bo$2b3o$3bo11$3bo$2b
obo$2bobo$3bo!
likes interesting rules
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also likes weird growth patterns in CA
hyperbolic CA!!!
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b-engine
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Re: Thread For Your Unrecognised CA

Post by b-engine »

I think this 5×5 variant should be called ∞×∞, as arbitrary size of solid rectangles could appear naturally (albeit very rare).

A family of infinitely extensible c/2, as well as c/3 and c/5 which are superficially similar to each other:

Code: Select all

x = 15, y = 45, rule = B2cin3ackn4cijknrt5aik6akn7e8/S02ein3ak4-aenwz5-ckqy6ac78
o13bo$2bo11bo$ob2o8bobo$14bo$14bo2$o$2bobo$ob2o10bo$12bobo$14bo$12bob
o$o4bo8bo$2bobo$ob2o3$5bo$o4b2o$2bobo$ob2o2$8bo$5bobo$o4b2o$2bobo$ob2o
$8bo$8b2o$5bobo$o4b2o$2bobo$ob2o7bo$8bobo$8b2o$5bobo$o4b2o$2bobo6bo$o
b2o7b2o$8bobo$8b2o$5bobo$o4b2o$2bobo$ob2o!
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ThePlayzr
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Re: Thread For Your Unrecognised CA

Post by ThePlayzr »

p2 oscillator in life like non-totalistic rule that would make a traffic light in normal life.

Code: Select all

x = 0, y = 0, rule = B3/S2-c3
3o$obo$3o
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I have LLS and qfind.
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rabbit
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Re: Thread For Your Unrecognised CA

Post by rabbit »

B3/S23-q4ei6c ("qeic"? pronounced like cake?) is a quite vibrant four transition Life variant that I have been investigating recently.

The T-tetromino and ob2o$o2bo$ob2o! are related and both failed replicators of sorts, I have annotated the latter's evolution sequence as their exact mechanics are rather convoluted:

Code: Select all

x = 54, y = 3, rule = B3/S23-q4ei6cSuper
D.2D.2D2.2D2.2D2.2D3.2D.D2.A.2A3.2D2.2D2.2D2.2D.2D.D$2D.4D.3D.3D.3D3.
D.2D2.2A.A3.3D.3D.3D.4D.2D$D.2D.2D2.2D2.2D2.2D3.2D.D2.A.2A3.2D2.2D2.
2D2.2D.2D.D!
The T naturally propagates not only at 4c/9, but at 28c/74 as well. As such there are many different puffers at those speeds, but because of the non-uniform nature of its propagation other periods are possible as well, and a few are recorded on the Catagolue page as well. The following pattern generates two p148 28c/74 patterns vertically, but also two 60c/157 puffers horizontally:

Code: Select all

x = 2, y = 33, rule = B3/S23-q4ei6c
bo$2o$bo28$bo$2o$bo!
These puffers tend to be rather dirty so I won't dwell on them too much. The known nonstandard puffer speeds so far include 60c/157, 8c/21, 97c/267, 37c/97, and 172c/453. (EDIT: and 76c/193 and 32c/83 and 116c/305)

Other moving objects include the standard four CGoL spaceships, in addition to: a rather common 6c/80d, a small c/2o, a T cleanly pulling a block at 8c/18o, and a 27c/101o spaceship that has yet to appear naturally:

Code: Select all

x = 10, y = 62, rule = B3/S23-q4ei6c
2ob3o$obobo$b2o$3b3o$4bo6$o$ob2o$3bo$ob2o$o6$o6bo$bo3b2obo$2o3bo3bo$5b
2obo$7bo16$o$obo$3b2o$3b2o$3b2o$obo$o9$o$obo$3b2o$3b2o$3b2o$obo$o!
There's also two related 13c/38 puffers of several blocks, the former of which can be corderized with 6 engines (thanks to iNoMed for drastically simplifying it from my original 18 engines):

Code: Select all

x = 20, y = 50, rule = B3/S23-q4ei6c
2o$2o2$15bo$15bobo$16bobo$16bo2bo$16bobo$15bobo$15bo3$15bo$15bobo$16bo
bo$16bo2bo$16bobo$15bobo$15bo2$2o$2o9$7b2o$7b2o6bo$15bobo$16bobo$16bo
2bo$16bobo$5b2o8bobo$5b2o8bo2$b2o$b2o2$5b2o8bo$5b2o8bobo$16bobo$16bo2b
o$16bobo$15bobo$7b2o6bo$7b2o!

Code: Select all

x = 66, y = 62, rule = B3/S23-q4ei6c
5b3o6b3o32b3o6b3o$6bo8bo34bo8bo$4bo3bo4bo3bo30bo3bo4bo3bo$4b2ob2o4b2ob
2o30b2ob2o4b2ob2o5$2b2o14b2o26b2o14b2o$2b2o14b2o26b2o14b2o$6b2o6b2o34b
2o6b2o$6b2o6b2o34b2o6b2o3$2b3o12b3o26b3o12b3o$bo3bo10bo3bo24bo3bo10bo
3bo$b2ob2o10b2ob2o6b3o6b3o6b2ob2o10b2ob2o$27b3o6b3o$26bo3bo4bo3bo2$25b
2o3b2o2b2o3b2o8$2o62b2o$2o62b2o5$28bo8bo$28bo8bo$27bobo6bobo$26bo3bo4b
o3bo$25bo5bo2bo5bo$28bo8bo$25b2o3b2o2b2o3b2o$2o62b2o$2o5b3o6b3o28b3o6b
3o5b2o$7b3o6b3o28b3o6b3o$6bo3bo4bo3bo26bo3bo4bo3bo$26bo12bo$5b2o3b2o2b
2o3b2o24b2o3b2o2b2o3b2o$25bo3bo6bo3bo$25bo3bo6bo3bo3$28bo8bo$27bobo6bo
bo2$26bobo8bobo$25b2ob2o6b2ob2o$26bobo2bo2bo2bobo$22bo20bo$22bo7bo4bo
7bo$27bobo6bobo$22b2o2bobo8bobo2b2o$27bo10bo!
Quadratic growth can occur from soup because puffers are so common, although thankfully it only appears to occur once every ~400,000 soups. Here's an isolated version of the first breeder that occured from soup:

Code: Select all

x = 26, y = 12, rule = B3/S23-q4ei6c
bobo$o3bo11bo5bo$bobo10b2obo3bob2o$2bo10bo3bobobo3bo$14bobo5bobo$15bo
2bobo2bo$17b2ob2o$17b2ob2o$17b2ob2o$17bo3bo$18bobo$19bo!
One of the methuselae can be hassled at period 50, so here is a glider gun utilizing it:

Code: Select all

x = 36, y = 29, rule = B3/S23-q4ei6c
34b2o$34b2o2$12bo$12bo4b3o$2o14bo$2o14bo3bo$16bo$12bo4b3o$12bo2$29b3o$
29bobo$30bo$29b3o13$29b2o$29b2o!
I intend to make followup posts exploring the rule further. Sorry for the length of this one but I wasn't sure whether it is good practice to make a containment thread for a rulepost of this size.
That's the bunny.
Check out my OCA exploration script, crule.lua!
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ThePlayzr
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Re: Thread For Your Unrecognised CA

Post by ThePlayzr »

EXTREMELY explosive switch-engine like puffer that dies after over a thousand loops.

Code: Select all

x = 0, y = 0, rule = B38/S0238
bo$2bo$2bo$b2o$o
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I have LLS and qfind.
Working on a jslife-like Travelling Ts pattern collection.
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ThePlayzr
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Re: Thread For Your Unrecognised CA

Post by ThePlayzr »

Code: Select all

x = 0, y = 0, rule = B2-c/S
b2o$o2bo$4bo$5bo$6bo$7bo$8bo$9bo2$3bo$4bo
Sierpinski's Triangle maker!
edit: added aa duoplet at the back to delete the big photon that is released backwards
sorry for posting twice in a row.
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I have LLS and qfind.
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Nikro
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Re: Thread For Your Unrecognised CA

Post by Nikro »

My recent space to explore is "rules that overuse one Hensel letter." Here's the recent find, a rule which contains two completely unrelated p116 RROs:

Code: Select all

x = 55, y = 26, rule = B3-e4e5e6e7e/S234e5e7e
6$13bo$12bobo$11b2ob2o$11bob3o$11bo2bo$14bo27bo$11bo29bobo$41bo2bo$42b
obo$42b3o2$12bo$10bobo$10b3o!
Still in the very early stages of exploring this rule, more results to come.
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LuveelVoom
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Re: Thread For Your Unrecognised CA

Post by LuveelVoom »

Nikro wrote: May 22nd, 2025, 10:30 pm My recent space to explore is "rules that overuse one Hensel letter." Here's the recent find, a rule which contains two completely unrelated p116 RROs:

Code: Select all

x = 55, y = 26, rule = B3-e4e5e6e7e/S234e5e7e
6$13bo$12bobo$11b2ob2o$11bob3o$11bo2bo$14bo27bo$11bo29bobo$41bo2bo$42b
obo$42b3o2$12bo$10bobo$10b3o!
Still in the very early stages of exploring this rule, more results to come.
Three glider synthesis of a heart-shaped xq6:

Code: Select all

x = 29, y = 20, rule = B3-e4e5e6e7e/S234e5e7e
5$20bo$19bo$19b3o2$17bo$16bo$8bobo5b3o$9b2o$9bo!
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