Miscellaneous Discoveries in Other Cellular Automata

Resu · Post by **Resu** » August 6th, 2025, 8:57 am

Growing puffers:

x = 22, y = 29, rule = 0234c5i6c7e8/345c6c7c8/5
18.2A$18.2AC$17.A2D.D$15.2A2DC$13.3A2.C$12.A2BA.D$11.A2CA$9.2A2DB$7.3A
2.C$6.A2BA.D$5.A2CA$3.2A2DB$.3A2.C$A2BA.D$ABD$2A2DB$2.A2CA$3.A2BA.D$4.
3A2.C$6.2A2DB$8.A2CA$9.A2BA.D$10.3A2.C$12.2A2DB$14.A2CA$15.A2BA$16.AB
2A$17.2ACA$19.2A!

Code: Select all

x = 61, y = 48, rule = 0234c5i6e7e8/345i6e7c8/5
3.A3.A3.A3.A3.A3.A3.A3.A3.A3.A.D$42.C2A$39.D2.2ABA$40.AD.A2CA$.A3.A3.
A3.A3.A3.A3.A3.A3.A3.A6.B2D2A$45.C2.3A$46.D.A2BA$49.A2CA$50.B2D2A$51.
C2.3A$52.D.A2BA$55.A2CA$56.B2D2A$58.DBA$55.D.A2BA$54.C2.3A$53.B2D2A$52.
A2CA$49.D.A2BA$48.C2.3A$47.B2D2A$46.A2CA$43.D.A2BA$42.C2.3A$41.B2D2A$
40.A2CA$37.D.A2BA$36.C2.3A$35.B2D2A$34.A2CA$31.D.A2BA$30.C2.3A$29.B2D
2A$A27.A2CA$A14.D9.D.A2BA$7.2A6.2A7.C2.3A$6.D2BA5.2A6.B2D2A$8.2A5.D6.
A2CA$5.D.D3A8.C.A2BA$3.BC4.2A8.BD2BA$2.AC4.CDCA8.3A$.A2CA5.ACA$2.B2.C
4.DBAC$10.ABDABD$3.D4.D.3AC2A$4.2AD2.CA3CB$4.2A4.BAB$11.A!

rabbit · Post by **rabbit** » August 6th, 2025, 3:13 pm

2111405-tick methuselah in B35acenr/S234eiy:

Code: Select all

x = 16, y = 16, rule = B35acenr/S234eiy
ob3ob2ob5o$2obobob3o2b4o$b2obo2bo5b2o$obobo2bob2o2bo$2b2ob3obobo$2b2o
2bobo3b2o$6o3bo2bo2bo$3b5o2bob2o$ob3obobo3bobo$2obob3ob3o2bo$o2b3o3b2o
3bo$bo2bob2obob3obo$4o2b2ob2obob2o$2o3b2o2bo3b2o$obo2bo3bo3bobo$o2b3o
4bob2o!

p108 non-loopable RRO that fits neatly into a 4x4 bounding box in one phase:

Code: Select all

x = 4, y = 4, rule = B35acenr/S234eiy
obo$4o$bobo$b3o!

Hdjensofjfnen · Post by **Hdjensofjfnen** » August 7th, 2025, 1:11 am

32c/64o in a rule 3 transitions from Life and 2 transitions from PondLife (B36i/S2-i35i):

Code: Select all

x = 9, y = 3, rule = B36i/S2-k35i
2b3o2bo$o3bo2b2o$obobo2bo!

It readily forms breeders:

Code: Select all

x = 11, y = 14, rule = B36i/S2-k35i
4o2bo$o2bo2b2o$o5bo$b2o8$4b3o2bo$2bo3bo2b2o$2bobobo2bo!

EDIT: 4c/12o in an unrelated rule, 5 transitions from Life:

Code: Select all

x = 6, y = 4, rule = B3-r5r/S23-r4r5r
bob2o$obob2o$obo$bo!

pifricted · Post by **pifricted** » August 8th, 2025, 1:45 am

c/7d, found accidently:

Code: Select all

x = 5, y = 5, rule = B3-ejk4j5ae6i/S2-i34kny5ei
3o$obo$bob2o$obobo$bob2o!

rabbit · Post by **rabbit** » August 8th, 2025, 1:47 pm

Two p7 margolus oscillators interact nontrivially to form a p28:

Code: Select all

x = 12, y = 12, rule = B2-a3/S01c2ci
7bo2$9bo2$11bo$o2$2bo2$4bo2$6bo!

The rule explodes along D2_+1 symmetry, but is rather interesting for having so few survival conditions. There are several spaceships, and a 10c/20 puffer is rather common in D8_4:

Code: Select all

x = 55, y = 9, rule = B2-a3/S01c2ci
2obo2bob2o2bo8bo2bo15bo9bo$bo6bo3b2obo2bob2o$13bo6bo5b3o2bo8bo$27bo9bo
b2o13bo$46bo3bo$54bo3$49bobo!

Resu · Post by **Resu** » August 9th, 2025, 3:23 am

Strictly volatile 4-cell p34:

Code: Select all

x = 3, y = 2, rule = B3678/S23-a5i678
3o$bo!

In another rule: this 8-cell c/33.

Code: Select all

x = 5, y = 4, rule = B3678/S23-a5cik678
2b2o$bob2o$obo$3bo!

In another rule: Sparker sparking 0,1,2,3 or 4 tubs:

Code: Select all

x = 26, y = 31, rule = B34c678/S23-a4c5cik67
7bo$6bobo6bo8bo$6b2o6bobo6bobo$6b2o7bo7b2o$bo17bo$2obobo12bo4bo$bo16b
4o$18bo4bo$19bo$23b2o$23bobo$24bo$7bo$6bobo$6b2o$6b2o$bo$2obobo9bo8bo
$bo12bobo6bobo$6b2o7bo7b2o$6b2o11bo$6bobo9bo4bo$7bo10b4o$18bo4bo$19bo
$15bo7b2o$14bobo6bobo$15bo8bo$bo$2obobo$bo!

Code: Select all

x = 10, y = 19, rule = B34c678/S23-a4c5cik67
4bobo$4b2o$5bo7$3o$2bo$bo5$7b3o$9bo$8bo!

b-engine · Post by **b-engine** » August 10th, 2025, 8:09 am

Is this c/33o spaceship known?

Code: Select all

x = 3, y = 4, rule = B34c678/S23-a4c5cik678
3o$2bo$obo$2o!

(Honestly I really want to create the "Thread for your unsure OCA discoveries")

Resu · Post by **Resu** » August 10th, 2025, 8:46 am

b-engine wrote: ↑
August 10th, 2025, 8:09 am
Is this c/33o spaceship known?
Code: Select all
x = 3, y = 4, rule = B34c678/S23-a4c5cik678
3o$2bo$obo$2o!
(Honestly I really want to create the "Thread for your unsure OCA discoveries")

Yes. xq33_79d/xq33_y4sne4zsc2kz363011
Check the post above yours.

Code: Select all

x = 5, y = 4, rule = B3678/S23-a5cik678
2b2o$bob2o$obo$3bo!

b-engine · Post by **b-engine** » August 10th, 2025, 6:42 pm

Tech made of snowflake-like p5 oscillators:

Code: Select all

x = 63, y = 29, rule = B2-ak3ak5ey6cn8/S01c3n4t6i
o2$o4$22bo$15bo5bo$22bo4$o5bo2$o5bo8$52bo$24bobo16bo6b5o$o6bo7bobo5bo
3bo6bo7b3o5b2ob2o5bobo$25bo7bobo5b2ob2o3b2obob2o$o6bo7bobo5bo3bo6bo7b
3o5b2ob2o5bobo$24bobo16bo6b5o$52bo!

pifricted · Post by **pifricted** » August 11th, 2025, 5:59 am

3c/10 in 23/2i3/3:

Code: Select all

x = 5, y = 3, rule = 23/2i3/3
2.A$2A.2A$2A.2A!

Resu · Post by **Resu** » August 11th, 2025, 8:48 am

A p34 hassles a barge:

Code: Select all

x = 11, y = 5, rule = B34c678/S23-a4c5cik67
bo$obo$bobo2b2o$2bo3b5o$6b2o!

b-engine · Post by **b-engine** » August 15th, 2025, 6:53 am

Natural corderization of 10c/20:

Code: Select all

x = 34, y = 10, rule = B2-ak3ak5ey6cn8/S01c3n4t6i
15bobo14bo$2b2o2bo11bo14bo$bo3b3o$2b2o2bo11bo2$27bo$b2o2bo11bo10bo$o3b
3o3bo$b2o2bo11bo$14bobo!

Period 10 and 20 oscillators:

Code: Select all

x = 31, y = 5, rule = B2-ak3ak5ey6cn8/S01c3n4t6i
bo23b2o$obo23bobobo$bo7bo11bo3b2o$8bobo15bobobo$9bo15b2o!

EDIT:
Is this a wickstretcher or puffer?

Code: Select all

x = 11, y = 5, rule = B2-ak3ak5ey6cn8/S01c3n4t6i
9bo$8b3o$b2o6bo$o$b2o!

First breeders:

Code: Select all

x = 16, y = 16, rule = B2-ak3ak5ey6cn8/S01c3n4t6i
o3bobob4obobo$b5o2bo2bo2b2o$ob4o6b2obo$2b4o2b3o2bobo$2o2bob2obob2obo$
obo3bo3bob2o$ob2ob2o3bo2b3o$b2ob3o7b2o$bobo2bo2b3o3bo$2o3b2obobob4o$b
2o2b2ob3obo2bo$2obo2b2o2b3obo$b2o3b3o3b2o$3o8b2o2bo$b2ob2o3b3o3bo$b4o
5b2o!

Code: Select all

x = 16, y = 16, rule = B2-ak3ak5ey6cn8/S01c3n4t6i
bob2obo4bo2bo$b2obo2bob2ob2obo$o3b2o2b2o$3b5obo2b3o$2o2b2ob2ob4obo$b2o
4bobo2b3o$o2bo3b2obo2bo$2obob3obob2obo$b2obob4ob5o$bo2bobo4b2obo$4bob
ob4o2bo$2bob2obo2b6o$2b3ob2o2b4obo$3ob2obobo$obobobobob2o2bo$bo2bobob
2ob5o!

Why they're each classified as zz_EXPLOSIVE and zz_QUADRATIC?

Clean dot puffer:

Code: Select all

x = 5, y = 13, rule = B2-ak3ak5ey6cn8/S01c3n4t6i
bo$o2$2bo$3bo$bobo3$2bobo3$3bo$2bobo!

Resu · Post by **Resu** » August 17th, 2025, 1:51 pm

c/3o, unsure if it is the smallest found yet.

Code: Select all

#C found with ikpx2
x = 13, y = 19, rule = B34c678/S23-a4c5cik67
5b3o$5bobo$4bo3bo$5bobo$6bo$4b5o$2bo3bo3bo$2bo2bobo2bo$bo3bobo3bo$ob2o
bobob2obo$o3b5o3bo3$5b3o$4bo3bo$3b3ob3o$2b2o5b2o$3bo5bo$2b2o5b2o!

hibiscus · Post by **hibiscus** » August 17th, 2025, 1:57 pm

Smaller c/3o, with minpop 51:

Code: Select all

x = 15, y = 17, rule = B34c678/S23-a4c5cik67
6b3o$6bobo$5bo3bo$6bobo$b2obob3obob2o$obo9bobo$o2bo3bo3bo2bo$3bo3bo3b
o$2bo2bobobo2bo$3bo7bo2$b2o9b2o2$2bo9bo$2bo9bo$bobo7bobo$bo11bo!

Resu · Post by **Resu** » August 18th, 2025, 2:00 pm

The number of uses a tub (and its extensions) has is astounding.

Code: Select all

x = 90, y = 33, rule = B34c678/S23-a4c5cik67
2bo$obo$b2o3$12bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo$11bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobo$12bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3b
o3bo3bo3bo11$34bo$33b3o25bo18b3o$60b3o18bo$60b3o18bo2$39bo$13bo11bo7b
o5b2o6bo17bo14bo$12bobo9bobo5bobo4bo6bobo15bobo12bobo6bo$6b3o2bobo11b
o7bo13bobo4bo10bobo12bobo3b3o$7b2o2b2o35bo3b3o11bobo12bobo4bo$6b3o11b
o33bo12bo14bo$20b2o$20bo28bo21b2o$49bo21b3o$48b3o20b2o!

c/5 that looks like weekender:

Code: Select all

x = 32, y = 16, rule = B34c678/S23-a4c5cik67
3o5b3o6bo12bo$2bo5bo8bo12bo$3o5b3o5bobo10bobo$b2o5b2o7bo12bo$17bo12bo
$3b2ob2o10bo3b4o3bo$bob2ob2obo12b4o$b4ob4o8b4o4b4o$2bob3obo$3b5o12bo6b
o$2b2obob2o12b2o2b2o$2b2obob2o$2bobobobo$5bo$2b2o3b2o$4bobo!

yaochen2 · Post by **yaochen2** » August 18th, 2025, 11:59 pm

Some interesting spaceships from various generations rules.

This spaceship lays down a pair of blocks and then destroys it. If one block is removed, the spaceship becomes glide symmetric.

Code: Select all

x = 50, y = 14, rule = 23-y/2n3aeijr4aiqy5ckny6ae/8
30.2A$30.2A3$.2A15.2A10.2A15.2A$AG2A13.2AGA8.AG2A13.2AGA$A.2A13.2A.A
8.A.2A13.2A.A$.3A13.3A10.3A13.3A$3.A13.A14.A13.A$2.ACB11.BCA12.ACB11.
BCA$2.A2CA9.A2CA12.A2CA9.A2CA$3.ACFA7.AFCA14.ACFA7.AFCA$4.3A7.3A16.3A
7.3A$5.A9.A18.A9.A!

40c/106 failedrep that also lays blocks

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x = 7, y = 5, rule = 23/2kn3-cy4-cjknq5cejny6-e7c8/8
2.3A$3AF3A$AB3FBA$AD3.DA$.BC.CB!

34c/91 with giant tail spark

Code: Select all

x = 15, y = 9, rule = 23-ky/2k3-nqr4aijnw5cekqr6ci78/8
7.A$6.3A$5.ACDCA$3.2ACB.BC2A$3.2AF3.F2A$2.ADFE3.EFDA$2ADC7.CD2A$ABG9.
GBA$3A9.3A!

3c/131

Code: Select all

x = 23, y = 12, rule = 23-k/2n3-cenq4-cqwy5cjkqr6-in7/8
3.A15.A$2.ACA6.G6.ACA$.A3CA5.G5.A3CA$2AF.F2A9.2AF.F2A$.2A.2A.2G5.2G.
2A.2A6$6.2A7.2A$6.2A7.2A!

3c/47

Code: Select all

x = 13, y = 10, rule = 23-y/3-knr4-knwz5acey6-ci7e/8
6.A$5.3A$4.ACDCA$2.2ACBFBC2A$2.2A2F.2F2A$.AC2F3.2FCA$A2C7.2CA$.ACFA3.
AFCA$2.3A3.3A$3.A5.A!

Code: Select all

x = 13, y = 10, rule = 23/2kn3aceij4aijkrty5jr6aen7/8
6.A$5.3A$4.ACDCA$2.2ACBFBC2A$2.2A2F.2F2A$.AC2F3.2FCA$A2C7.2CA$.ACFA3.
AFCA$2.3A3.3A$3.A5.A!

28c/160

Code: Select all

x = 11, y = 8, rule = 23-y/2k3-cen4-cqtwy5kqry6c7c/8
5.A$3.2AB2A$3.2AD2A$2.A2D.2DA$2A2D3.2D2A$2AFG3.GF2A$2ADAF.FAD2A$2.2A
3.2A!

Puffers:

Code: Select all

x = 33, y = 8, rule = 23-y/2k3-cen4-cqtwy5kqry6c7c/8
5.A21.A$3.2AB2A17.2AB2A$3.2AD2A17.2AD2A$2.A2D.2DA15.A2D.2DA$2A2D3.2D
2A11.2A2D3.2D2A$2AFG3.GF2A11.2AFG3.GF2A$2ADAF.FAD2A11.2ADAF.FAD2A$2.
2A3.2A15.2A3.2A!

Code: Select all

x = 42, y = 9, rule = 23-ky/2k3-nqr4aijnw5cekqr6ci78/8
7.A26.A$6.3A24.3A$5.ACDCA22.ACDCA$3.2ACB.BC2A18.2ACB.BC2A$3.2AF3.F2A
18.2AF3.F2A$2.ADFE3.EFDA16.ADFE3.EFDA$2ADC7.CD2A12.2ADC7.CD2A$ABG9.GB
A12.ABG9.GBA$3A9.3A12.3A9.3A!

LuveelVoom · Post by **LuveelVoom** » August 19th, 2025, 1:02 am

And this is an uh... um... counter of some sort?

Code: Select all

x = 8, y = 3, rule = B2en3ai4ek5-aiy6-c7/S1c2cen3-e4-ai5eikq6-i7e
obo3bo$b7o$obo3bo!

Did I ever post this binary counter I found a while ago? Rule also has a cool replicator that sometimes becomes a 3c/17o.

Code: Select all

x = 37, y = 13, rule = B2en3einy/S2-a34ackqy5ckny6ekn7e8
2$17bo$15b2o2bo$2bo7b2ob2o4bo5b2o$2b2o6b3o2bo3b2o6bo5b3o$2bo7b2ob2o4b
o5b2o$15b2o2bo$17bo!

Hexagonal rule finds:

Code: Select all

x = 9, y = 9, rule = B2o4m/S2-p4o56H
3b2o$3bo$b3obo$2bo$3bobo$3bo3bo$3b2ob2o$5b2o!

Code: Select all

x = 79, y = 50, rule = B2o4m/S23p56H
19$47b2o$46b3o$47bobo2bo$47b3ob3o$48bo2bobo$52b3o$52b2o3$36bo8bo$36b2o
6bo$29bo5bo3bo7b2o$29b3o4b3obo6b2obo$37bob2o7bo$40bo10bo$32bo2bo$31bo
bo$32b3obo!

Code: Select all

x = 47, y = 36, rule = B2o4m/S23p5H
8$13bo$11bo2b2o4bobo$12b2o2bo6bo6bo2bo$12b3obo4b3o5bo2bo2bo$12bob3o6b
o$13bo19bo$12b2o$14bo14bo$15b3o$15bobo12bo2bo$18bo13bo2$19bo13bo$18bo
2bo13bo2$22bo2$18bo2$16bo2bo2bo$18bo2bo!

A few more remarkable patterns:

Code: Select all

x = 8, y = 14, rule = B2ein3ai4cq678/S2-in3-i4aw5i6ac78
$bob2o$b2obo2$2b2ob2o$2b2obo$b3o2bo$b3obo$b3o2bo$2b2obo$2b2ob2o2$b2ob
o$bob2o!

Code: Select all

x = 7, y = 9, rule = B2cen3y4cnz5-n678/S12-n3y4itz
4bo$4bo$3bo$3bo$2bo$2bo$bo$2bo2bo$3bo!

Code: Select all

x = 8, y = 8, rule = B2ei3ai4-ijrw5-i6-i78/S1c2-ai3a4-ir6ai
4b3o$4b3o$5b2o$2obob2o$2o$3o$3o!

Code: Select all

x = 5, y = 5, rule = B2cen3akqy4acnz5ijr7e/S12-a3er6i7e
$2bo$bobo$b3o!

Code: Select all

x = 18, y = 9, rule = B2cen3akqy4acnz5ijr7e8/S12-a3er7e
2bobo$4bo$bobobo$o8bo$o4bobobo5bobo$o8bo$bobobo$4bo$2bobo!

Code: Select all

x = 5, y = 17, rule = B2cen3akqy4acnz5ijr7e/S12-a3er7e
bobo$2bo$2bo$bobo$o3bo$5o6$5o$o3bo$bobo$2bo$2bo$bobo!

Code: Select all

x = 5, y = 12, rule = B2n3-q5y/S234q
$2bo$b3o$b3o$2bo3$2bo$b3o$b3o$2bo!

Code: Select all

x = 7, y = 7, rule = B2e3aiq467/S1c2ae34cikqw
3bo$2bobo3$b2obobo$b4obo$4bo!

Code: Select all

x = 3, y = 3, rule = B2in34e5ce6n7c/S023-a4t
bo$obo$bo!

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x = 7, y = 6, rule = B3aijn4ar5i678/S2e3-j4-t67c8
2bo3bo$b5o$2b2o$4o$b3o$2bo!

Code: Select all

x = 15, y = 1, rule = B2ci3aeijy4etz5e7c8/S1e2-ak3aijy4ceiw5er8
5o5b5o!

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x = 11, y = 7, rule = B2in34eiqrw5ckny6n/S2-i3-a4ijrt
6b3o$obo6bo$3obob2ob2o$2ob2ob5o$o4b3obo$3b2obo$3b3o!

(these might be from a luveelrule):

Code: Select all

x = 7, y = 9, rule = B2-ac3acik4ceqrty5y678/S1c2-ai3-j4cqw
2b2o$2b2o$bo2bo2$2o3b2o2$2o3b2o$2bobo$2bobo!

Code: Select all

x = 36, y = 33, rule = B2-ac3acik4ceqrty5y/S1c2-ai3-j4cqw
6$25b2o2$21b2o$21b2o6bo$23bo5bo$22b2o$23b3o$22bobob2o$20b2o4b2o$20b2o
$18b2o$18b2o$16b2o$16b2o$14b2o$14b2o$12b2o$12b2o$10b2o$10b2ob2o$8b2o4b
2o$8b2o2bo2bo$6b2o2bo3b2o$6b2o$8b2o!

Code: Select all

x = 4, y = 5, rule = B2-ac3acik4cejqrty5y/S1c2-ai3-j4cqw
o$2bo2$3bo$2bo!

Code: Select all

x = 43, y = 40, rule = B2-ac3acik4-aw/S1c2-a3-j4cnqrw5k
9$13b3o9b3o6$10bo20bo$8b4o17b4o$8b2obo17b2obo$7b3o2bo15b3o2bo$6bob2o2b
2o13bob2o2b2o$5bo4bobo13bo4bobo$6bo3bo16bo3bo$8bo6bo13bo6bo$9bobo3bo14b
obo3bo$12b3o18b3o$9bo3bo16bo3bo$11bo20bo3$26b2o$8bo11bo5b2obo$8bo11bo
6b3o$8bo11bo!

Code: Select all

x = 9, y = 3, rule = B2-ac3acik4-aw/S1c2-a3-j4cnqrw
6b3o$2o3bo2bo$6b3o!

Code: Select all

x = 34, y = 46, rule = B2en3aeiqy4-ar5-a6ein7c8/S1c2ae3-a4acekqt
16$15bo8bo$13bob3o4b3obo$14b2o2bo2bo2b2o$13b2o10b2o$12bobo10bobo$12bo
bo2bob2obo2bobo$12b3ob8ob3o$15b3o4b3o$16b2ob2ob2o$17b6o$17bo4bo$17b6o
$19b2o!

Code: Select all

x = 64, y = 34, rule = B2en3aeiqy4-ar5-a6ein7c8/S1c2ae3-a4acekq
19$34b2o20bo$32bo4bo16b4o$10b3o18b2ob2ob2o15b3obo$8bob3obo16bobo2bobo
15bo3bo$10b3o18b2ob2ob2o17bo$9b5o18bo4bo$34b2o!

Code: Select all

x = 10, y = 12, rule = B2en3aeiqy4-ar5-akn6ein7c8/S1c2ae3-a4acekqrt
$3bo$5bo$3bobo$3b2o$b2ob3o$b3o2bo$b2ob4o$b4ob3o$b3o3bo$b3o2b2o$6bo!

Code: Select all

x = 61, y = 34, rule = B2en3aeiqy4-ar5-akn6ein7c8/S1c2ae3-cen4cekqrt
14$40bo$38b2obo$38b3o$39bo$39bo2bo$19bo18bo$18bobo13b5o$21bo12b4ob2o$
21bo15b2ob4o$18bo2bo17b5o$19b2o18bo$35bo2bo$38bo$37b3o$36bob2o$37bo!

Code: Select all

x = 24, y = 28, rule = B2e3-aej4e678/S1c2-a34cjq6
8$9b3o$9b4o$8b6o$6b3o4bo$6bobob4o$8b2o$8bo$6b3o!

The rule with the two-barrel gun where both barrels point the same way has some other cool stuff. Actually, a lot of them do.

Seems easy to corderize, but really isn't:

Code: Select all

x = 24, y = 20, rule = B2en3ainy4aci/S1c2ae3-c4aq
2bo2bo$3b2o$3b2o$2bo2bo8$13b3o$13b2ob3o$13bo4bo$14bo3bo$14bo2bo$14b3o
!

Surely easy to corderize:

Code: Select all

x = 29, y = 31, rule = B2en3aeiqy4-ar5-a6ein7c8/S1c2aei3-a4acekqt
11$10bo$9b2o2bo$11b2o$9b2ob3o$8bo2bob2o$6bobobo2bo11bo$6bo3bo2bo11bo$
6bobobo2bo11bo$8bo2bob2o$9b2ob3o$11b2o$9b2o2bo$10bo!

The trick to finding single-still-life reflectors is to just find a rule where a spaceship turns into an active region when catalyzed by a still life and tweak it a bit:

Code: Select all

x = 11, y = 11, rule = B2n3ain4/S2ace34ar
2$bo$b2o$bo3$8b2o$8b2o!

(two still life, but whatever):

Code: Select all

x = 11, y = 11, rule = B2en3ai4q678/S2-in3-i4aw
$3b2o$3bo$4bo$3b2o2$9b2o$b2o5bo$b2o6b2o!

Code: Select all

x = 7, y = 6, rule = B2cen4cnz5678/S12-n4z
$3o3bo$5bo$bo3bo$bo!

Code: Select all

x = 8, y = 13, rule = B2en3acik4ceiknty5-iqy6c8/S1c2-a34cq6-n7
$4bobo$5bo8$b2o$b2o!

(oh look, it's that luveelrule again):

Code: Select all

x = 51, y = 49, rule = B2-ac3acik4ceqrty5y/S1c2-ai3-j4cqw
9b2o$9b2o$11bo8b2o$20b2o$22b2o$22b2o$21bo2$29b2o$29b2o18b2o$49b2o$48b
o4$32b3o$32bobo4$8b2o37b2o$8b2o34bo2b2o$22b2o3b2o16b2o$22b2o3b2o16b2o
4$4b2o16b2o3b2o$4b2o16b2o3b2o$2b2o2bo34b2o$2b2o37b2o9$2bo$2o$2o18b2o$
20b2o2$29bo$27b2o$27b2o$29b2o$29b2o!

Almost rotating oscillator, can anyone stabilize?

Code: Select all

x = 16, y = 14, rule = B34z5c/S2-n36i
4$9b3o$4bobo4bo$4bo3bo2bo$4bob3obo$7b3o3bo$13bo$13bo!

More catalyst rules.

Code: Select all

x = 21, y = 14, rule = B2en3aei4t5ac678/S2-i34c6a7
5b2o$3bo2bo$3b2o5$2o$bo17b2o$2o17b2o2$10b2ob2o$8bo2bob2o$8b2o!

Code: Select all

x = 13, y = 14, rule = B2e3aciky6k/S1c2-a3-i4q
$bo$2bo$bo$10bo$11b2o$4bo6b2o$2b2o6bo$2b2o3$10b2o$10b2o!

Code: Select all

x = 15, y = 14, rule = B2-ac3acik4ceqrty5y/S1c2-ai3-j4cqw
3$10b2o$10b2o$9bo$9b2o$11b2o$11b2o2$5b2o$5bobo!

Weird replicator:

Code: Select all

x = 15, y = 30, rule = B3ain678/S2e34678
10$7bo$6bo3bo$5b6o$4b8o$5b6o$6bo3bo$7bo!

NOT replicator, but weird:

Code: Select all

x = 11, y = 9, rule = B2e3-aej4cer5-eiy678/S1c2-a34cjq6a78
2bobo$b4obo$o3b2obo$b4obo$2bobo!

HROT.

Code: Select all

x = 12, y = 97, rule = R4,C2,S2-3,B3,6,N@00000003818080402010
13$6b2o$6b2o11$6b2o$6b2o11$6b2o$6b2o11$6b2o$6b2o11$6b2o$6b2o13$6b2o$7b
o2$6b2o$6bo$6bo$7bo$7bo$6bo2$6bo$7bo$6b2o$6b2o!

Today's backlog clearing: up to July 26, 2025. Days remaining: 317, plus any that pass in the meantime.

There's some rather old patterns I have somewhere on the discord, most notably a p360 rotating oscillator and related spaceship and a natural p1000-something oscillator, but I'm too tired to find those right now. However, do have this (not my rule, I think it was ampere’s):

Code: Select all

x = 92, y = 64, rule = B2ci3acen4qr5ir6ac7e/S01c2-ac3-ir4-nw5-acen6-ci78
3$71bo$70b2o$71bo3$67bo$66b2o$67bo3$16bo$16b2o$16bo3$20bo$20b2o10bo3b
o4bo3bo$20bo10b3ob3o2b3ob3o$35bob4obo$35b2o4b2o$30bobo2b2o4b2o2bobo$31b
2ob3o4b3ob2o$31b2ob3o4b3ob2o$31b6o4b6o$31b6o4b6o$31b6o4b6o$31b6o4b6o$
31b6o4b6o$31b6o4b6o$31b6o4b6o$31b6o4b6o$31b6o4b6o$31b6o4b6o$31b6o4b6o
$31b6o4b6o$31b6o4b6o$31b6o4b6o$31b6o4b6o$31b6o4b6o$31b6o4b6o$31b6o4b6o
$31b6o4b6o$31b6o4b6o$31b6o4b6o$31b6o4b6o$31b6o4b6o$31b6o4b6o$31b2obob
o4bobob2o$32bo2b2o4b2o2bo$32bo2bo6bo2bo$35b3o2b3o$31bo3bobo2bobo3bo$30b
3o2bo6bo2b3o$37bo2bo!

Good night.

Resu · Post by **Resu** » August 19th, 2025, 6:49 am

Weird signals traveling on a wickstretcher:

Code: Select all

x = 7, y = 10, rule = B34c678/S23-a4c5cik678
bbooobb$
bobobob$
booooob$
ooooooo$
booooob$
booooob$
ooooooo$
booooob$
bobobob$
bbooobb!

(This was typed manually, sorry for the weirdly-formatted RLE)

rabbit · Post by **rabbit** » August 20th, 2025, 9:29 pm

(Rule #1) Tiny c/4 stripe-restricted spaceship:

Code: Select all

x = 5, y = 3, rule = B2ac3cn4i5r/S
3o2$b2obo!

EDIT: (Rule #2) +B3y yields a second p8 c/4 spaceship:

Code: Select all

x = 6, y = 3, rule = B2ac3cny4i5r/S
4o2$ob2obo!

As well, the first rule seems to explode on D2_+2 symmetry, but not the second rule.

EDIT2: p8 gun in Rule #1:

Code: Select all

x = 8, y = 10, rule = B2ac3cn4i5r/S
o5bo2$o5bo$2bobo$5bobo$5bobo$2bobo$o5bo2$o5bo!

Margolus-based p16+ gun similar to my tech in TT:

Code: Select all

x = 35, y = 60, rule = B2ac3cn4i5r/S
2bobobobobobobobobobobobobobobobo2$2bobobobobobobobobobobobobobobobo2$
2bobobobobobobobobobobobobobobobo2$2bobobobobobobobobobobobobobobobo2$
2bobobobobobobobobobobobobobobobo2$2bobobobobobobobobobobobobobobobo2$
2bobobobobobobobobobobobobobobobo2$2bobobobobobobobobobobobobobobobo
13$4bo25bo$2bo29bo$obo13bobo13bobo$obo13bobo13bobo$2bo29bo$4bo25bo13$
2bobobobobobobobobobobobobobobobo2$2bobobobobobobobobobobobobobobobo2$
2bobobobobobobobobobobobobobobobo2$2bobobobobobobobobobobobobobobobo2$
2bobobobobobobobobobobobobobobobo2$2bobobobobobobobobobobobobobobobo2$
2bobobobobobobobobobobobobobobobo2$2bobobobobobobobobobobobobobobobo!

p252 Margolus-based photon shuttle:

Code: Select all

x = 147, y = 54, rule = B2ac3cn4i5r/S
10bo125bo2$8bo3bo121bo3bo2$6bo3bo3bo117bo3bo3bo2$4bo3bo3bo3bo113bo3bo
3bo3bo2$2bo3bo3bo3bo3bo109bo3bo3bo3bo3bo2$o3bo3bo3bo3bo3bo105bo3bo3bo
3bo3bo3bo2$o3bo3bo3bo3bo3bo105bo3bo3bo3bo3bo3bo2$2bo3bo3bo3bo3bo109bo
3bo3bo3bo3bo2$4bo3bo3bo3bo113bo3bo3bo3bo2$6bo3bo3bo117bo3bo3bo2$8bo3bo
121bo3bo2$10bo3bo121bo$12bo$10bobo$10bobobo$12bo$12bo$10bobobo$10bobo$
12bo$10bo3bo121bo2$8bo3bo121bo3bo2$6bo3bo3bo117bo3bo3bo2$4bo3bo3bo3bo
113bo3bo3bo3bo2$2bo3bo3bo3bo3bo109bo3bo3bo3bo3bo2$o3bo3bo3bo3bo3bo105b
o3bo3bo3bo3bo3bo2$o3bo3bo3bo3bo3bo105bo3bo3bo3bo3bo3bo2$2bo3bo3bo3bo3b
o109bo3bo3bo3bo3bo2$4bo3bo3bo3bo113bo3bo3bo3bo2$6bo3bo3bo117bo3bo3bo2$
8bo3bo121bo3bo2$10bo125bo!

Rule #2 appears to potentially be explosive on symmetry as well.

EDIT3: p252 Margolus-based photon gun, but the gun is actually stripe-restricted itself:

Code: Select all

x = 83, y = 49, rule = B2ac3cn4i5r/S
10bo2$8bo3bo2$6bo3bo3bo2$4bo3bo3bo3bo2$2bo3bo3bo3bo3bo2$o3bo3bo3bo3bo
3bo2$o3bo3bo3bo3bo3bo2$2bo3bo3bo3bo3bo2$4bo3bo3bo3bo2$6bo3bo3bo2$8bo3b
o2$10bo2$10bo$8bobo$8bobo$10bobo$70bobo2$68bo5bo2$66bo3bobo3bo2$64bo3b
o5bo3bo2$62bo3bo3bobo3bo3bo2$60bo3bo3bo5bo3bo3bo2$62bo3bo3bobo3bo3bo2$
64bo3bo5bo3bo2$66bo3bobo3bo2$68bo5bo2$70bobo!

Anything Margolus can be adjusted to work at multiple periods, in both of the prior cases it must be divisible by 6.

p8 oscillator:

Code: Select all

x = 16, y = 5, rule = B2ac3cn4i5r/S
obo10bobo$6bo2bo$o14bo$6bo2bo$obo10bobo!

I found a p16 C4_1-symmetric oscillator as well, but have lost it.

Resu · Post by **Resu** » August 21st, 2025, 12:12 pm

Oscillator turn (with glider):

Code: Select all

x = 11, y = 8, rule = B34c678/S23-a4c5cik67
9bo$8bo$8b3o3$bo$2o$bo!

LuveelVoom · Post by **LuveelVoom** » August 22nd, 2025, 1:59 pm

More backlog clearing. But first, some forelog clearing:
Interesting guns:

Code: Select all

x = 16, y = 12, rule = B2-ak3a56-c7/S23ejkqr4-e5-ai67e
$6b3o$6bobo3$b3o7b3o$bobob5obobo$b3o2bobo2b3o$6b3o$6bobo$6b3o!

Code: Select all

x = 8, y = 12, rule = B2-ak3a4r56-c78/S23ejkqr45-ai67e
2$2b2o$bob2o$2b3o$2bo$3b2o$2b3o$2b3o$3bo!

Signal loop:

Code: Select all

x = 25, y = 25, rule = B2-ak3a56-c7/S23ejkqr45-ai67e
5$10b3o$10bob3o$10b3ob3o$11b4obo$14b3o$5b4o7bo$5bobo$4b4o11b3o$4bobo12b
obo$3b4o11b4o$3bobo12bobo$3b3o11b4o$17bobo$8bo7b4o$8b3o$8bob3o$8b3ob3o
$10b3obo$12b3o!

Strange puffer:

Code: Select all

x = 23, y = 26, rule = B2-ak3a4ejqt56-c78/S23ejkqr45-ai67e
3$2bo3bo$2b5o6$17bo$4bo3bo3bob5o$4b5o3b7o$13b4o2bo$13b4ob2o$13b4o$16b
o$17bo4$16bo$16b2o$16b3o$16bobo!

Remarkable rake:

Code: Select all

x = 34, y = 42, rule = B2-ak3a5678/S23ejkqr45-ai67
4$3bo$2b2obo$2b3o$b7o13bo$b2ob3o13b3o$4b2o14b3o$4b3o13b5o2bo2b2o$4b3o
12b9o2b3o$5bo14b2o2b4ob3o$22bob6o$22bob5o$24bo17$24bo$24b2o$24b2o!

p186:

Code: Select all

x = 13, y = 16, rule = B2-ak3a5678/S23jkqr45-ai67
3$3b3o$2bob2o$4bo$3b3o$5bo$3b5o$3b6o$4b6o$3bobob3o$6bobo!

Stuff in a rule:

Code: Select all

x = 50, y = 22, rule = B2en3aeijy4aein5ciqy/S12ae3y4c5i6c7c
9$8bobo3$18b3o$18b3o13b3o$7bo3bo6b3o13bobo$8bobo7b3o$7b2ob2o!

Signal:

Code: Select all

x = 13, y = 16, rule = B2en3aeij4ai5y7e/S12ae3a
2b2o2$o$o$2bo$2bo$4bo$4bo$6bo$6bo$8bo$8bo$10bo$10bo$12bo$12bo!

Domino puller:

Code: Select all

x = 5, y = 9, rule = B2ein3aeij4ai5y7e/S12ae3a
o3bo$o3bo5$b3o$2bo$bobo!

A lot of the above stuff feels like it would be in a luveelrule, but I can't find one rule with all the properties I want.
Now, onto the backlog.

Code: Select all

x = 92, y = 75, rule = B2e3-aej/S1c2-a34jq
5$55b2o$55b2o$54bo2$36b2o$36b2o$38bo3$40b3o$40bobo7$13b2o$13b2o59b2o$
15bo58b2o$7b2o63b2o$7b2o31b3o28b2o$9bo30bobo29bo$72b2o$16b2o$16b2o4$41b
o2$48bo$48bobo$48bo2bo31bo$50bo33b2o$19bo64b2o$17b2o58bo$17b2o59b2o$78b
2o10$44b2o$43b2o2$42bobo$43bo2$39bobo$39b3o11bo$54b2o$54b2o2$37bo$35b
2o$35b2o4$40bo$38b2o$38b2o!

Code: Select all

x = 16, y = 12, rule = B2e3-aeq4q/S1c2-a34w
3$4bo$2b3o4bo$2bo7bo$2b3o3b3o$4bo4b2o$9b2o!

Code: Select all

x = 7, y = 7, rule = B2ein3-aq4rw56cen/S1c2-ai34ntw5ek
4bo$2bobo$4b3o$o2bo$4b3o$2bobo$4bo!

Code: Select all

x = 18, y = 19, rule = B2ein3-ar4eiw578/S1c2-a35ekq
4$10b2o$9b2o$9b3o$6b6o$6b4o3$13b3o$13b3o!

Oblique replicator!

Code: Select all

x = 18, y = 21, rule = B2ein3-aj4w578/S1c2-a35aek
2$11b3o$11bobo$10b3obo$12b2o$9bo2b2o$8b5obo$8b7o$8bob5o$9b2o2bo$9b2o$
8bob3o$9bobo$9b3o!

Code: Select all

x = 20, y = 20, rule = B2ein3-a4z58/S1c2-a3
10bo$9bo$9bo$10bo$10bo$8bo$6bo$5bo5bo$2o5bobob2o$2o13b2o2bo$11bo5b2o$
14bo$11bo$13bo$12bo4$10b2o$10b2o!

Code: Select all

x = 18, y = 18, rule = B2ein3-a4z58/S1c2-a3
10$9bo$8bo$7b2o$8bo2$b2o$b2o!

Code: Select all

x = 30, y = 31, rule = B2ein3-a4t58/S1c2-a3
5$11b2ob2o$10bo5bo2$10bo5bo$10b2o3b2o$13bo$10b2o3b2o$4bob2ob2ob3ob2ob
2obo$3bo3bobo7bobo3bo$3bo6bo5bo6bo$8bobo5bobo$3bo6bo5bo6bo$3bo3bobo7b
obo3bo$4bob2ob2ob3ob2ob2obo$10b2o3b2o$13bo$10b2o3b2o$10bo5bo2$10bo5bo
$11b2ob2o!

Code: Select all

x = 32, y = 24, rule = B2ein3-a58/S1c2-a37c
$15b3o6$15b3o$15bobo$15b3o$16bo$5bo5b3ob3ob3o5bo$5bo5bob3ob3obo5bo$5b
o5b3ob3ob3o5bo$16bo$15b3o$15bobo$15b3o6$15b3o!

Code: Select all

x = 13, y = 19, rule = B2ein3-a4-a5/S1c2-a3
7$5b2o$5b2o$5b2o$4b4o$3b6o$3b2o2b2o$3b2o2b2o$3b6o$4b4o!

Code: Select all

x = 91, y = 81, rule = B2e3-a5i/S1c2-a3
39$23b2o$18bo4b2o$17bobo4b2o2b4o$16bo3bo4bo2bo2bo$17bobo2bo2bo2b4o$18b
o!

Code: Select all

x = 20, y = 12, rule = B2ce3acei4e/S12-k3-a
3$16bo2$5bo10b2o$3b2ob2o$2b2obob2o$2b3ob3o$2b2o3b2o!

Code: Select all

x = 104, y = 97, rule = B2ei3ijny4it5ck6cn/S1c2cek3aij4t5k6c
5$48b2o$48b2o32$50b3o$50bobo2$50bobo$47bo7bo$50bobo$45bo11bo$48b3ob3o
38b2o$48bob3obo38b2o$41b2obobob2o3b2obobob2o$41bo7bo3bo7bo$41b2obobob
2o3b2obobob2o$8b2o38bob3obo$8b2o38b3ob3o$45bo11bo$50bobo$47bo7bo$50bo
bo2$50bobo$50b3o32$53b2o$53b2o!

Code: Select all

x = 8, y = 7, rule = B2e3ai4a5-i6/S2-i3
2bo2bo$bo4bo$bo4bo$o6bo$bo4bo$bo4bo$2bo2bo!

A remarkable S0 rule:

Code: Select all

x = 58, y = 104, rule = B2-ae3ain5678/S03-ij5-iy67
46bo$46bo$45b3o$45b3o$44bobobo$46bo$46bo3$39bo4b2ob2o4bo$37b2o5b2ob2o
5b2o$35b7o9b7o$37b2o5b2ob2o5b2o$39bo4b2ob2o4bo3$46bo$46bo$44bobobo$45b
3o$45b3o$46bo$46bo13$21bobo$21b3o$22bo$22bo3$20bo3bo2$19bobobobo$18bo
b2ob2obo$18bob2ob2obo$18bob2ob2obo$19bobobobo2$20bo3bo3$22bo$22bo$21b
3o$21bobo19$3bo$3b2o$ob2o$obo22$29bo$31bo$29bo$31bo$29bo!

Code: Select all

x = 3, y = 8, rule = B2in3ai4-a5/S2-ai34ainqrw7
bo$bo$obo$3o$obo$obo$3o$bo!

SMOS found while manually rulegolfing:

Code: Select all

x = 11, y = 18, rule = B2e3ai47/S2-i3-a4aw7
7b2o$2b7o$5b5o$bo2b2ob3o$2b2o8$2b2o$bo2b2ob3o$5b5o$2b7o$7b2o!

Code: Select all

x = 14, y = 14, rule = B2e3ai4/S2-i3-a4aw7
6b3o$o2bo2bobo$bobo2bo2bo$b3o6$12b2o$12b2o$8b2o2b2o$9b4o$10bo!

Code: Select all

x = 17, y = 91, rule = B2in3air4cekt57/S2aei3-ekry4aeinqrt5-i6-a
13bo2bo$14b3o$15bo11$3bo$3bobo$3b3o29$2o9b3o$b2o8bo$bo9b2o$o28$3b3o$3b
obo$3bo11$15bo$14b3o$13bo2bo!

Code: Select all

x = 5, y = 6, rule = B2in3air4cek57e/S2aei3-ekry4aeinqrt5-i6a7e
2o$2o$3bo$bob2o$b3o$2bo!

(2,1)c/5 partial in B3/S234w. I'm fairly sure that the rule has a (2,1)c/5, but it seems to be just out of the reach of my computer:

Code: Select all

x = 35, y = 97, rule = B3/S234w
12bo$11b3o$10b2ob3o$4b3ob2o5b2o$3b2obob3o5bo$2b3obo4bob3obo$bo2bo3b2o
2b5o$o2bo4bo4bob2o$bobo4b2ob2o$2o5bo3bo4b2o$2o5b2o$9bo7bobo$5b2o3bo6b
obo$b3ob6o3bo$5bobobo3b3o$5b2obo2bo2bobo$10bob2obo$6bobobobo$7bob2o2b
o$11b2o3b2o$10b2o2bobo$8b4o3b2o2bo$7b2ob2o$6b2o2b3o4b2o$6b2ob2o2bo$6b
o2b2o3bo$7b3o5b2obo$5b2ob2o7b2o$5b2obo$6bo4bo$11b2o4bobo$7bo8b2o$9bob
2o6b2o$11bo9bo$11b2o5bo2bo$11bo2bo3bo3b5o$15bo3bo2b2obobo$15bo7b2obo$
13bo7b2o2bobo$14bo9b3o$19b2o7bo$19b2o8bo$20bo4bo$21bobo2b3o$23bo$20bo
2b3o$19bobo3bo$18bo3bo4bobo$18bo3bo4b2o$18bob2o3bobobo$18bobo4bo$19bo
7b3o$19bo2bo4b2o$22bobo$18bob4obo$17b2obo5bobo$16b2o2b2ob3ob2o$16b2o2b
2o4b3o$15bob3o3bo3b2o$14b3o3bo2bo2b3o$13b2o2b2obo3b2o2bo$12b3ob2o3b2o
bo$18b2obob2o2bo$15b3o2bo3bobo$12b2o3b2o2b4o4bo$14b2obobob4o2b2obo$14b
2obo9b2obo$15bo2b3o3bo3bobob2o$15b2o4bobo2bo2b2o3bo$15bob4o2bo2b2ob2o
2bo$14bo5bo5b2o$15bo3bo7bo$15bo4bo$16b2o2bo6b2o$18bobo5b3o$15bo4bo5bo
$15b5obobobobo2bo$17bobobobobo4bo$14b2obo8bobobo$14bo2bo4bobo2bo$17bo
4bobo3b2o$12b3o3bo8b2o$12b3o9b2ob2o$13bo6b3o4bo$15b3o2bo2bo3bo$12b6ob
o3bo3bo$17bo3bo2b2o$12b2o7bo2b2ob2o$12b2o2bo2bo4bo3bo$15b2ob2o6bo4bo$
14b3obo4bo4bob2o$13bo2bobo2b3obob2o$13b2obob2o2bo5bo$12bo4bo4bo4bo3bo
$13bo7b2o4bo$15b2o3b2o3bo4bo$10b5obob2o3bob2o2b2o!

"B2i3aein4iknr5/S2ae3-cnq4-a6 and dropping B5" (that's all I wrote in my notes)

Code: Select all

x = 18, y = 25, rule = B34iz5i7/S2-ci34i
4$4b2o$4b2o6$6b2o$5bobo$4bo$6bo$5bobo$5bo$3bo!

Gun made of p600 oscillators:

Code: Select all

x = 71, y = 56, rule = B34iz5i6i/S2-ci34i6ikn
9$46bo$45bobo$45b5o$44b2o2bobo$49b2o3$45b2o$44bo2bo$44bobo$44bo2bo4$43b
3o$42bo2bobo$41bob2o2b2obo$40bobo6bo$48b2o$48b2o$45b3o13$23b3o$26bo$26b
o$26bo5bobo2bobo$22b2o2bo4b2obo2bo2bo$21b5obo3b3o6bo$24b2o6b2o6bo$22b
2o15bo$23bobo11b2o$37b2o$24b2o!

Code: Select all

x = 21, y = 17, rule = B34in5i6i/S2-ci34i6i7
5$3o$6o3bo$b7obobo$3b2ob2obo$7bo!

Code: Select all

x = 6, y = 8, rule = B34ir5i6i/S2-ci34i6i
b3o$o$o2bo$bob2o$bobo$5bo$2bo2bo$3b3o!

According to my notes, this is the "Mother of All Obliques". It's pretty cool, I have got to say:

Code: Select all

x = 19, y = 8, rule = B2n3-n4ei5y/S236c
3bo$bo7b2o$3o6b2o$bo15b2o$18bo$13bobo2bo$13bo$13bo!

Code: Select all

x = 7, y = 7, rule = B2n3ai4ainrwz6-c78/S2ae35
5bo$4bobo$2bob2o$4bobo$b3o2bo$obo2bo$bob2o!

Code: Select all

x = 43, y = 32, rule = B2n3aiq4ainrwz5-ac6-ce78/S2ae34-inrt6i
13$10b4o$10bob2o13bo$10bob2o11b3o$11b2o12bob2o$12bo12bobo$26b2o!

Today's backlog clearing: up to halfway through July 17, 2025.

hotcrystal0 · Post by **hotcrystal0** » August 30th, 2025, 9:11 am

hotcrystal0 wrote: ↑

January 19th, 2025, 1:48 pm

Edit: HighLife state 5:

Code: Select all

x = 3, y = 3, rule = SumLife5_test
.A$.2A$2A!
@RULE SumLife5_test

@TABLE


n_states:6
neighborhood:Moore
symmetries:permute

var a={0,1,2,3,4,5}
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 = {1,2,3,4,5}
var b1 = b
var b2 = b
var b3 = b
var _6 = {1}
var _7 = {2}
var _8 = {3}
var _9 = {4}
var _10 = {5}
var _11 = {1}
var _12 = {2}
var _13 = {3}
var _14 = {4}
var _15 = {5}

# Birth

0,1,1,1,0,0,0,0,0,3
0,1,1,2,0,0,0,0,0,4
0,1,1,3,0,0,0,0,0,5
0,1,1,4,0,0,0,0,0,_6
0,1,1,5,0,0,0,0,0,_7
0,1,2,2,0,0,0,0,0,5
0,1,2,3,0,0,0,0,0,_6
0,1,2,4,0,0,0,0,0,_7
0,1,2,5,0,0,0,0,0,_8
0,1,3,3,0,0,0,0,0,_7
0,1,3,4,0,0,0,0,0,_8
0,1,3,5,0,0,0,0,0,_9
0,1,4,4,0,0,0,0,0,_9
0,1,4,5,0,0,0,0,0,_10
0,1,5,5,0,0,0,0,0,_11

0,2,1,1,0,0,0,0,0,4
0,2,1,2,0,0,0,0,0,5
0,2,1,3,0,0,0,0,0,_6
0,2,1,4,0,0,0,0,0,_7
0,2,1,5,0,0,0,0,0,_8
0,2,2,2,0,0,0,0,0,_6
0,2,2,3,0,0,0,0,0,_7
0,2,2,4,0,0,0,0,0,_8
0,2,2,5,0,0,0,0,0,_9
0,2,3,3,0,0,0,0,0,_8
0,2,3,4,0,0,0,0,0,_9
0,2,3,5,0,0,0,0,0,_10
0,2,4,4,0,0,0,0,0,_10
0,2,4,5,0,0,0,0,0,_11
0,2,5,5,0,0,0,0,0,_12

0,3,1,1,0,0,0,0,0,5
0,3,1,2,0,0,0,0,0,_6
0,3,1,3,0,0,0,0,0,_7
0,3,1,4,0,0,0,0,0,_8
0,3,1,5,0,0,0,0,0,_9
0,3,2,2,0,0,0,0,0,_7
0,3,2,3,0,0,0,0,0,_8
0,3,2,4,0,0,0,0,0,_9
0,3,2,5,0,0,0,0,0,_10
0,3,3,3,0,0,0,0,0,_9
0,3,3,4,0,0,0,0,0,_10
0,3,3,5,0,0,0,0,0,_11
0,3,4,4,0,0,0,0,0,_11
0,3,4,5,0,0,0,0,0,_12
0,3,5,5,0,0,0,0,0,_13

0,4,1,1,0,0,0,0,0,_6
0,4,1,2,0,0,0,0,0,_7
0,4,1,3,0,0,0,0,0,_8
0,4,1,4,0,0,0,0,0,_9
0,4,1,5,0,0,0,0,0,_10
0,4,2,2,0,0,0,0,0,_8
0,4,2,3,0,0,0,0,0,_9
0,4,2,4,0,0,0,0,0,_10
0,4,2,5,0,0,0,0,0,_11
0,4,3,3,0,0,0,0,0,_10
0,4,3,4,0,0,0,0,0,_11
0,4,3,5,0,0,0,0,0,_12
0,4,4,4,0,0,0,0,0,_12
0,4,4,5,0,0,0,0,0,_13
0,4,5,5,0,0,0,0,0,_14

0,5,1,1,0,0,0,0,0,_7
0,5,1,2,0,0,0,0,0,_8
0,5,1,3,0,0,0,0,0,_9
0,5,1,4,0,0,0,0,0,_10
0,5,1,5,0,0,0,0,0,_11
0,5,2,2,0,0,0,0,0,_9
0,5,2,3,0,0,0,0,0,_10
0,5,2,4,0,0,0,0,0,_11
0,5,2,5,0,0,0,0,0,_12
0,5,3,3,0,0,0,0,0,_11
0,5,3,4,0,0,0,0,0,_12
0,5,3,5,0,0,0,0,0,_13
0,5,4,4,0,0,0,0,0,_13
0,5,4,5,0,0,0,0,0,_14
0,5,5,5,0,0,0,0,0,_15

0,5,5,5,5,b,b1,0,0,b

# Survival

b,b1,b2,0,0,0,0,0,0,b
b,b1,b2,b3,0,0,0,0,0,b

# Death
a,a1,a2,a3,a4,a5,a6,a7,a8,0

@COLORS

0 0 0 0
1 255 0 0
2 0 255 0
3 0 0 255
4 0 255 255
5 255 0 255

The pulsar causes everything here to lose symmetry:

Code: Select all

x = 3, y = 3, rule = SumLife5_test
3B$B.B$E.D!
@RULE SumLife5_test
@TABLE
n_states:6
neighborhood:Moore
symmetries:permute
var a={0,1,2,3,4,5}
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 = {1,2,3,4,5}
var b1 = b
var b2 = b
var b3 = b
var _6 = {1}
var _7 = {2}
var _8 = {3}
var _9 = {4}
var _10 = {5}
var _11 = {1}
var _12 = {2}
var _13 = {3}
var _14 = {4}
var _15 = {5}
# Birth
0,1,1,1,0,0,0,0,0,3
0,1,1,2,0,0,0,0,0,4
0,1,1,3,0,0,0,0,0,5
0,1,1,4,0,0,0,0,0,_6
0,1,1,5,0,0,0,0,0,_7
0,1,2,2,0,0,0,0,0,5
0,1,2,3,0,0,0,0,0,_6
0,1,2,4,0,0,0,0,0,_7
0,1,2,5,0,0,0,0,0,_8
0,1,3,3,0,0,0,0,0,_7
0,1,3,4,0,0,0,0,0,_8
0,1,3,5,0,0,0,0,0,_9
0,1,4,4,0,0,0,0,0,_9
0,1,4,5,0,0,0,0,0,_10
0,1,5,5,0,0,0,0,0,_11
0,2,1,1,0,0,0,0,0,4
0,2,1,2,0,0,0,0,0,5
0,2,1,3,0,0,0,0,0,_6
0,2,1,4,0,0,0,0,0,_7
0,2,1,5,0,0,0,0,0,_8
0,2,2,2,0,0,0,0,0,_6
0,2,2,3,0,0,0,0,0,_7
0,2,2,4,0,0,0,0,0,_8
0,2,2,5,0,0,0,0,0,_9
0,2,3,3,0,0,0,0,0,_8
0,2,3,4,0,0,0,0,0,_9
0,2,3,5,0,0,0,0,0,_10
0,2,4,4,0,0,0,0,0,_10
0,2,4,5,0,0,0,0,0,_11
0,2,5,5,0,0,0,0,0,_12
0,3,1,1,0,0,0,0,0,5
0,3,1,2,0,0,0,0,0,_6
0,3,1,3,0,0,0,0,0,_7
0,3,1,4,0,0,0,0,0,_8
0,3,1,5,0,0,0,0,0,_9
0,3,2,2,0,0,0,0,0,_7
0,3,2,3,0,0,0,0,0,_8
0,3,2,4,0,0,0,0,0,_9
0,3,2,5,0,0,0,0,0,_10
0,3,3,3,0,0,0,0,0,_9
0,3,3,4,0,0,0,0,0,_10
0,3,3,5,0,0,0,0,0,_11
0,3,4,4,0,0,0,0,0,_11
0,3,4,5,0,0,0,0,0,_12
0,3,5,5,0,0,0,0,0,_13
0,4,1,1,0,0,0,0,0,_6
0,4,1,2,0,0,0,0,0,_7
0,4,1,3,0,0,0,0,0,_8
0,4,1,4,0,0,0,0,0,_9
0,4,1,5,0,0,0,0,0,_10
0,4,2,2,0,0,0,0,0,_8
0,4,2,3,0,0,0,0,0,_9
0,4,2,4,0,0,0,0,0,_10
0,4,2,5,0,0,0,0,0,_11
0,4,3,3,0,0,0,0,0,_10
0,4,3,4,0,0,0,0,0,_11
0,4,3,5,0,0,0,0,0,_12
0,4,4,4,0,0,0,0,0,_12
0,4,4,5,0,0,0,0,0,_13
0,4,5,5,0,0,0,0,0,_14
0,5,1,1,0,0,0,0,0,_7
0,5,1,2,0,0,0,0,0,_8
0,5,1,3,0,0,0,0,0,_9
0,5,1,4,0,0,0,0,0,_10
0,5,1,5,0,0,0,0,0,_11
0,5,2,2,0,0,0,0,0,_9
0,5,2,3,0,0,0,0,0,_10
0,5,2,4,0,0,0,0,0,_11
0,5,2,5,0,0,0,0,0,_12
0,5,3,3,0,0,0,0,0,_11
0,5,3,4,0,0,0,0,0,_12
0,5,3,5,0,0,0,0,0,_13
0,5,4,4,0,0,0,0,0,_13
0,5,4,5,0,0,0,0,0,_14
0,5,5,5,0,0,0,0,0,_15
0,5,5,5,5,b,b1,0,0,b
# Survival
b,b1,b2,0,0,0,0,0,0,b
b,b1,b2,b3,0,0,0,0,0,b
# Death
a,a1,a2,a3,a4,a5,a6,a7,a8,0
@COLORS
0 0 0 0
1 255 0 0
2 0 255 0
3 0 0 255
4 0 255 255
5 255 0 255

Edit: A totally normal jam:

Code: Select all

x = 7, y = 6, rule = SumLife5_test
2.2AE$6.A$.A4.E$A.A2.E$A2.A$.2A!
@RULE SumLife5_test
@TABLE
n_states:6
neighborhood:Moore
symmetries:permute
var a={0,1,2,3,4,5}
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 = {1,2,3,4,5}
var b1 = b
var b2 = b
var b3 = b
var _6 = {1}
var _7 = {2}
var _8 = {3}
var _9 = {4}
var _10 = {5}
var _11 = {1}
var _12 = {2}
var _13 = {3}
var _14 = {4}
var _15 = {5}
# Birth
0,1,1,1,0,0,0,0,0,3
0,1,1,2,0,0,0,0,0,4
0,1,1,3,0,0,0,0,0,5
0,1,1,4,0,0,0,0,0,_6
0,1,1,5,0,0,0,0,0,_7
0,1,2,2,0,0,0,0,0,5
0,1,2,3,0,0,0,0,0,_6
0,1,2,4,0,0,0,0,0,_7
0,1,2,5,0,0,0,0,0,_8
0,1,3,3,0,0,0,0,0,_7
0,1,3,4,0,0,0,0,0,_8
0,1,3,5,0,0,0,0,0,_9
0,1,4,4,0,0,0,0,0,_9
0,1,4,5,0,0,0,0,0,_10
0,1,5,5,0,0,0,0,0,_11
0,2,1,1,0,0,0,0,0,4
0,2,1,2,0,0,0,0,0,5
0,2,1,3,0,0,0,0,0,_6
0,2,1,4,0,0,0,0,0,_7
0,2,1,5,0,0,0,0,0,_8
0,2,2,2,0,0,0,0,0,_6
0,2,2,3,0,0,0,0,0,_7
0,2,2,4,0,0,0,0,0,_8
0,2,2,5,0,0,0,0,0,_9
0,2,3,3,0,0,0,0,0,_8
0,2,3,4,0,0,0,0,0,_9
0,2,3,5,0,0,0,0,0,_10
0,2,4,4,0,0,0,0,0,_10
0,2,4,5,0,0,0,0,0,_11
0,2,5,5,0,0,0,0,0,_12
0,3,1,1,0,0,0,0,0,5
0,3,1,2,0,0,0,0,0,_6
0,3,1,3,0,0,0,0,0,_7
0,3,1,4,0,0,0,0,0,_8
0,3,1,5,0,0,0,0,0,_9
0,3,2,2,0,0,0,0,0,_7
0,3,2,3,0,0,0,0,0,_8
0,3,2,4,0,0,0,0,0,_9
0,3,2,5,0,0,0,0,0,_10
0,3,3,3,0,0,0,0,0,_9
0,3,3,4,0,0,0,0,0,_10
0,3,3,5,0,0,0,0,0,_11
0,3,4,4,0,0,0,0,0,_11
0,3,4,5,0,0,0,0,0,_12
0,3,5,5,0,0,0,0,0,_13
0,4,1,1,0,0,0,0,0,_6
0,4,1,2,0,0,0,0,0,_7
0,4,1,3,0,0,0,0,0,_8
0,4,1,4,0,0,0,0,0,_9
0,4,1,5,0,0,0,0,0,_10
0,4,2,2,0,0,0,0,0,_8
0,4,2,3,0,0,0,0,0,_9
0,4,2,4,0,0,0,0,0,_10
0,4,2,5,0,0,0,0,0,_11
0,4,3,3,0,0,0,0,0,_10
0,4,3,4,0,0,0,0,0,_11
0,4,3,5,0,0,0,0,0,_12
0,4,4,4,0,0,0,0,0,_12
0,4,4,5,0,0,0,0,0,_13
0,4,5,5,0,0,0,0,0,_14
0,5,1,1,0,0,0,0,0,_7
0,5,1,2,0,0,0,0,0,_8
0,5,1,3,0,0,0,0,0,_9
0,5,1,4,0,0,0,0,0,_10
0,5,1,5,0,0,0,0,0,_11
0,5,2,2,0,0,0,0,0,_9
0,5,2,3,0,0,0,0,0,_10
0,5,2,4,0,0,0,0,0,_11
0,5,2,5,0,0,0,0,0,_12
0,5,3,3,0,0,0,0,0,_11
0,5,3,4,0,0,0,0,0,_12
0,5,3,5,0,0,0,0,0,_13
0,5,4,4,0,0,0,0,0,_13
0,5,4,5,0,0,0,0,0,_14
0,5,5,5,0,0,0,0,0,_15
0,5,5,5,5,b,b1,0,0,b
# Survival
b,b1,b2,0,0,0,0,0,0,b
b,b1,b2,b3,0,0,0,0,0,b
# Death
a,a1,a2,a3,a4,a5,a6,a7,a8,0
@COLORS
0 0 0 0
1 255 0 0
2 0 255 0
3 0 0 255
4 0 255 255
5 255 0 255

rabbit · Post by **rabbit** » August 31st, 2025, 6:32 pm

B34a/S23-ay4nt contains a similar type of replicator to B3/S235e6c:

Code: Select all

x = 3, y = 5, rule = B34a/S23-ay4nt
o$2o$3o$2o$o!

EDIT: (25, 12)c/473 puffer in B34a/S23-a4cnqty that looks hard to corderize:

Code: Select all

x = 40, y = 30, rule = B34a/S23-a4cnqty
22bo$22bo$22bo$12b3o$11b5o3b3o2b2o$10bo2bo2bo2bo6b2o$10bo3bo3bo3bo$11b
2o5bobo7bo$14bo2bob2o7bo$14bob2o4b3o3bo$15b3o4bo3b2o$14bo2bo7bo$13bo3b
2o2bo3bo$15bob2o3b3o$15b3o$30b3o$9b2o$2b2o11bo$bo3bo9bo$2obo3bo$o5b3o$
bo2b6o$b3o5b3o26bo$37bobo$10bo5bo19bo2bo$9bo6bo20b2o$10b4o$10b2o7b2o$
18bo2bo$19b2o!

H. H. P. M. P. Cole · Post by **H. H. P. M. P. Cole** » September 2nd, 2025, 12:17 am

H. H. P. M. P. Cole wrote: ↑
December 23rd, 2024, 10:26 pm
Catagolue census
Code: Select all
x = 11, y = 11, rule = B2kn3aeijr4ai5cinr/S1e2c3ajr4ajnqrtw5cky6e
2o7b2o$2o7b2o2$o6bo6$2o$2o!
Define an activated still-life as a spaceship which consists of, in one phase, a spark that dies in 1 generation and a still-life, which interact with each other one generation later.

Shown above is a CA containing two of these activated still-lifes. Are there any CA in the space of rules definable using Hensel notation with three or more such spaceships?

I found a nonexplosive rule with 3 such activated still-lifes. With that, I present to you the star of Muzik v2.0:

Code: Select all

# c/5o, c/8d, (2,1)c/21
x = 43, y = 43, rule = B2ik3aeiky4jryz5acij6ck/S12ce3cijkq4ajkrtz5-aekq6ai8
21bo$20bobo$21bo2$21bo$16bo9bo$15bobo7bobo$16bo9bo2$17bo7bo$11bo19bo$
10bobo17bobo$11bo19bo$13bo15bo2$6bo29bo$5bobo27bobo$6bo2bo23bo2bo3$bo
19bo19bo$obobo15bobo15bobobo$bo19bo19bo3$6bo2bo23bo2bo$5bobo27bobo$6b
o29bo2$13bo15bo$11bo19bo$10bobo17bobo$11bo19bo$17bo7bo2$16bo9bo$15bob
o7bobo$16bo9bo$21bo2$21bo$20bobo$21bo!

b-engine · Post by **b-engine** » September 3rd, 2025, 4:43 am

b-engine wrote: ↑
September 3rd, 2025, 4:08 am
Biblically accurate spark coil:
Code: Select all
x = 31, y = 18, rule = SparkCoil
B$B$2B11$23.2A4.2A$23.A.A2.A.A$25.A2.A$23.A.A2.A.A$23.2A4.2A!

Methane + fire spaceship collection:

Code: Select all

x = 63, y = 7, rule = SparkCoil
20.2B10.B7.3B5.2B11.2B$3B2.4B2.4B3.5B7.4B5.3CB5.BC3B7.2CB$3B2.B2CB2.B
C2B3.B3C8.4B7.CB5.3C2B7.2CB$3C2.4C2.4C2.2B3C7.3B2C7.C8.2CB8.C$3C10.2C
2.2BC9.2B3C16.C$29.2B2C$30.B2C!

@RULE SparkCoil
@TABLE
n_states:4
neighborhood:Moore
symmetries:permute 
var a = {0,1,2,3}
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 = {0,2,3}
var b1 = b
var b2 = b
var b3 = b
var b4 = b
var b5 = b
var b6 = b
var b7 = b
var b8 = b
var c = {0,1}
var c1 = c
var c2 = c
var c3 = c
var c4 = c

0,1,1,1,2,2,2,2,0,3

a,1,1,1,b,b1,b2,b3,b4,1
1,1,1,b,b1,b2,b3,b4,b5,1
1,a,a1,a2,a3,a4,a5,a6,a7,0

0,2,2,2,c,c1,c2,c3,c4,2
0,2,2,2,2,2,c,c1,c2,2
0,2,3,3,3,3,3,3,a,3
2,1,3,a1,a2,a3,a4,a5,a6,3
2,3,3,3,a,a1,a2,a3,a4,3

3,2,a,a1,a2,a3,a4,a5,a6,3
3,a,a1,a2,a3,a4,a5,a6,a7,0

@COLORS
1 255 255 255
2 64 64 64
3 255 216 0
@NAMES
1 Life
2 Methane
3 Fire

ConwayLife.com

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Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata

Re: Miscellaneous Discoveries in Other Cellular Automata