Miscellaneous Discoveries in Other Cellular Automata

For discussion of other cellular automata.
CasperWen8805181
Posts: 235
Joined: November 5th, 2023, 10:57 pm
Location: La La Land

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 »

Code: Select all

x = 8, y = 6, rule = 2-a3-aei4-aceik/2-a3-ak45/4
4.C$.BC4A$2A.2AC2A$.AB.2ACA$2.3AC2A$4.3A!
Cool oscillator, any ships in this rule?
My Rules:
Hash2F (R3,C2,S4,B5-6,N#)
Growth & Isolation (123/2cn345678/8|236/345678/8)
*unnamed rule* (2-a45678/35aei678/3|4568/2-ce35aei678/3)
*unnamed rule* (/2-e3ae/3)
I'm back after a 3 year break!
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PK22
Posts: 612
Joined: January 25th, 2025, 11:38 am
Location: United Kingdom
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by PK22 »

CasperWen8805181 wrote: August 19th, 2026, 3:48 pm

Code: Select all

x = 8, y = 6, rule = 2-a3-aei4-aceik/2-a3-ak45/4
4.C$.BC4A$2A.2AC2A$.AB.2ACA$2.3AC2A$4.3A!
Cool oscillator, any ships in this rule?
Yes: 4c/8, 180c/360, and 5c/20d, respectively, found using apgsearch:

Code: Select all

x = 73, y = 43, rule = 2-a3-aei4-aceik/2-a3-ak45/4
2.3A$2.ACA33.A29.B$.BA.AB31.ABA27.C3A$A.2BA31.2A.2A26.BAC2A$CA.BA30.
2ACAC2A24.2A3C2A$B.BA31.ACACAC2A24.2BCACA$.CB30.4AB.CACA24.C.AB2A$33.
AC2A2C.B4A$32.3ABA2CB3ACA$31.CB.A.B3C2.B2A$36.C.2C2.C$37.2B$36.C2B$
36.ACA$25.2A7.C2.B$24.2ACA8.C$23.2AC3A$22.2AC.C.A$22.ACAC.A$22.2ACACA
$23.2AC2A.C$24.2A16$3.C$.4A$.AC.2BC$2.2A2B$3.BC.A$4.ABC!
User:PK22
Learning miscellaneous programming languages.
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TheWayOfTheCon
Posts: 273
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Location: Kraken Mare, Titan

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by TheWayOfTheCon »

PK22 wrote: August 19th, 2026, 4:26 pm Yes: 4c/8, 180c/360, and 5c/20d, respectively, found using apgsearch:

Code: Select all

x = 73, y = 43, rule = 2-a3-aei4-aceik/2-a3-ak45/4
2.3A$2.ACA33.A29.B$.BA.AB31.ABA27.C3A$A.2BA31.2A.2A26.BAC2A$CA.BA30.
2ACAC2A24.2A3C2A$B.BA31.ACACAC2A24.2BCACA$.CB30.4AB.CACA24.C.AB2A$33.
AC2A2C.B4A$32.3ABA2CB3ACA$31.CB.A.B3C2.B2A$36.C.2C2.C$37.2B$36.C2B$
36.ACA$25.2A7.C2.B$24.2ACA8.C$23.2AC3A$22.2AC.C.A$22.ACAC.A$22.2ACACA
$23.2AC2A.C$24.2A16$3.C$.4A$.AC.2BC$2.2A2B$3.BC.A$4.ABC!
???

Code: Select all

x = 64, y = 21, rule = 2-a3-aei4-aceik/2-a3-ak45/4
6.3A48.A$6.ACA47.ABA$5.ABABA45.2A.2A$4.AB.B.BA43.2ACAC2A$3.AB.A.A.BA42.
ACACAC2A$2.AB.A.AC3BA39.4AB.CACA$.A3BCA2.AB.BA38.AC2A2C.B4A$AB.BABC2.
BCBAB37.3ABA2CB3ACA$.2ACA4.CABAC36.CB.A.B3C2.B2A$55.C.2C2.C$7.2C47.2B
$7.2C46.C2B$7.B.B45.ACA$8.C9.3A23.2A7.C2.B$18.A.BA21.2ACA8.C$17.3A.2A
19.2AC3A$17.2A.A.BA17.2AC.C.A$17.3A.A.BA16.ACAC.A$17.2A.A.BA17.2ACACA
$18.2A.BA19.2AC2A.C$19.3A21.2A!
Looks like the RROs emitted from the spaceships collide with each other and terminate the end of the spaceship.

Can anyone find an actual RRO puffer using the spaceship?

EDIT: Found one!

Code: Select all

x = 104, y = 280, rule = 2-a3-aei4-aceik/2-a3-ak45/4
46.3A48.A$46.ACA47.ABA$45.ABABA45.2A.2A$44.AB.B.BA43.2ACAC2A$43.AB.A.
A.BA42.ACACAC2A$42.AB.A.AC3BA39.4AB.CACA$41.A3BCA2.AB.BA38.AC2A2C.B4A
$40.AB.BABC2.BCBAB37.3ABA2CB3ACA$41.2ACA4.CABAC36.CB.A.B3C2.B2A$95.C.
2C2.C$47.2C47.2B$47.2C46.C2B$47.B.B45.ACA$48.C9.3A23.2A7.C2.B$58.A.BA
21.2ACA8.C$57.3A.2A19.2AC3A$57.2A.A.BA17.2AC.C.A$57.3A.A.BA16.ACAC.A$
57.2A.A.BA17.2ACACA$58.2A.BA19.2AC2A.C$59.3A21.2A239$6.3A48.A$6.ACA47.
ABA$5.ABABA45.2A.2A$4.AB.B.BA43.2ACAC2A$3.AB.A.A.BA42.ACACAC2A$2.AB.A
.AC3BA39.4AB.CACA$.A3BCA2.AB.BA38.AC2A2C.B4A$AB.BABC2.BCBAB37.3ABA2CB
3ACA$.2ACA4.CABAC36.CB.A.B3C2.B2A$55.C.2C2.C$7.2C47.2B$7.2C46.C2B$7.B
.B45.ACA$8.C9.3A23.2A7.C2.B$18.A.BA21.2ACA8.C$17.3A.2A19.2AC3A$17.2A.
A.BA17.2AC.C.A$17.3A.A.BA16.ACAC.A$17.2A.A.BA17.2ACACA$18.2A.BA19.2AC
2A.C$19.3A21.2A!
Last edited by TheWayOfTheCon on August 20th, 2026, 1:36 pm, edited 1 time in total.
I could've chose a better username, but oh well.

Still learning the ropes of cellular automata, focused on one OCA at a time. My current interest is B35/S126 and range-two LTLs.
CasperWen8805181
Posts: 235
Joined: November 5th, 2023, 10:57 pm
Location: La La Land

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 »

Code: Select all

x = 12, y = 10, rule = 2-a3-aei4-aceik/2-a3-akn45/4
3.C$10.B$.BC2.C3.ABA$2A.A.B.C.ACA$.AB.B3CA.2A$2.AB.3A.BA$3.ABACABA$4.
ACACA$4.2AC2A$5.3A!
Similar rule that differs by one transition that also harbors a RRO with interesting spark, but has ships and guns naturally.

Code: Select all

x = 9, y = 11, rule = 2-a3-aei4-ceik/2-a3-akn45/4|2-a3-aei4-aceik/2-a3-akn45/4
3.A$.BABA$A2B.BA$.3B.B2A$2.4AC2A$.CACACACA$2.4AC2A$.3B.B2A$A2B.BA$.BA
BA$3.A!
Not as interesting, but is there a defined rulespace that these rules fall into?

But this rule on the other hand is kinda interesting, an oblique ship and a slow ship, of speeds and slopes that I currently do not have time to find:

Code: Select all

x = 76, y = 49, rule = 2-a3-ae4-aceik/2-a3-ak45/4
3.2A$2.ACA$.2A.BA$ACABAB2A$B.BCBAC2A$C2AB.2ACA$2.C3AC2A$2.2C.B2A$3.B2A
$4.A7$29.3A$28.2ACA$27.2ACABA$27.AC2A.BA$26.4A2B.2A$26.BCA.2BA.2A$27.
C3.ABABA$31.3CA$31.2CBA6$16.AB$14.3A2C$13.2AC2A$12.2AC2A$12.AC2A2B$12.
2AB.2BA2C$14.AB.AB2C$15.2A.ACB$16.2AB2A49.BA$17.2A50.C.3A$68.B2.AC2A$
68.2C2A.C2A$69.2B3ACA$70.3AC2A$70.2AB2A$66.C4.2A$67.B4A$67.4A$69.A!
And very common oscillator with interesting spark

Code: Select all

x = 9, y = 9, rule = 2-a3-ae4-aceik/2-a3-ak45/4
4.A$3.ABA$2.AB.BA$.AB.B.BA$AB.B.B.BA$.AB.B.BA$2.AB.BA$3.ABA$4.A!
all of which natural

Code: Select all

x = 90, y = 147, rule = 2-a3-ae4-aceik5i/2-a3-ak45/4
17$52.CA$52.2B2A$53.AC2A$53.B.C2A$52.4ACA$53.2AC2A$53.4A$53.CB22$29.A
$28.AB2A$26.2AB.2BA$25.2AC3A.2A$25.A.BAC2.A$25.4A2.A9.CA$27.BC.CB9.AB
A$28.ABA9.AB.BA$39.AB.4A$40.ABACA$41.AC2A$42.2A30$41.2A$38.CAB4A$38.2A
2BAC2A$37.2A2CBCACA$37.2A3.2CB.A$36.3A5C2.2A$36.BA2C.2CB2ACB$35.AB2AC
B2A3BC$34.A3BCA3.CBCA2.B2A$33.2A.A.A4.B.BA2C.C2A$32.3AC2.BA2.CACBA3CA
C2A$32.AC2A.ACB.BC.ABA2C.CA.BA$32.3AC2.BA2.CACBA3CAC2A$33.2A.A.A4.B.B
A2C.C2A$34.A3BCA3.CBCA2.B2A$35.AB2ACB2A3BC$36.BA2C.2CB2ACB$36.3A5C2.2A
$37.2A3.2CB.A$37.2A2CBCACA$38.2A2BAC2A$38.CAB4A$41.2A!
Screw it... here's a compilation of different speeds and stuff in different rules in this general rulespace, which is still not defined yet...

Code: Select all

x = 37, y = 27, rule = 2-a3-ae4-aceik5i/2-a3-ak45678/4
2.A31.A$.ABA29.ABA$AB.BA27.AB.BA$.2B.BA25.AB.2B$.BABA27.ABAB$2.2A29.2A
17$17.3A$16.2AC2A$16.ACBCA$16.2AC2A$17.3A!

Code: Select all

x = 7, y = 7, rule = 2-a3-ae4-aceik6i78/2-a3-ak45/4
3.A$2.4A$.3AC2A$2BACACA$C3AC2A$.2AC2A$.C3A!

Code: Select all

x = 8, y = 7, rule = 2-a3-ae4-aceik6i7/2-a3-ak45/4
4.A$C2ABCBA$B2AC.C2A$.ACACACA$.2ACAC2A$2.2AC2A$3.3A!

Code: Select all

x = 158, y = 43, rule = 2-a3-ae4-aceik6e/2-a3-ak45/4
41.C$41.A$40.A.A$39.4B$38.6BC$38.C.2B.C$38.ACAC$36.CB.3A$39.2CAC$38.C
BCB$39.BA4$64.3A$21.2A11.C28.2AC2A$20.4A12.2C3.C20.2ACAC2A81.3A$3.2AB
A9.A3.B2.BA15.B2CB7.BC9.ACACAC2A78.C.A.BA$3.A3CA6.2ABAC.6A13.2A2CAC5.
2A.2A7.2AB.B.C2A79.C2B2A$.4AC4A3.3ACB3.A.2AB2A10.2ACAB.B5.C2ACAB2CA6.
4AC2A79.2BC2A$2AC5AC3A2B.3CA5.2AC2A9.2A2CAC2A2.AB2C2AC.CB2A5.C2.2A.BA
71.3A3.2ABA.BA$AC7AC2A2BA3.B4.4ACA8.A.2AB.2B3.ACAC2B2.2A.BA3.B.B.B.B.
BA70.AC2AC2.A3B.BA$2AC5AC3A2B.3CA5.2AC2A9.2A2CAC2A2.AB2C2AC.CB2A5.C2.
2A.BA71.3A3.2ABA.BA$.4AC4A3.3ACB3.A.2AB2A10.2ACAB.B5.C2ACAB2CA6.4AC2A
79.2BC2A$3.A3CA6.2ABAC.6A13.2A2CAC5.2A.2A7.2AB.B.C2A79.C2B2A$3.2ABA9.
A3.B2.BA15.B2CB7.BC9.ACACAC2A78.C.A.BA$20.4A12.2C3.C20.2ACAC2A81.3A$21.
2A11.C28.2AC2A$64.3A4$39.BA$38.CBCB$39.2CAC$36.CB.3A$38.ACAC$38.C.2B.
C$38.6BC$39.4B$40.A.A$41.A$41.C!

Code: Select all

x = 3, y = 3, rule = 2-a3-ae4-aceik5e/2-a3-ak45/4
.A$3A$.A!

Code: Select all

x = 20, y = 15, rule = 2-a3-aei4-aceik5n/2-a3-akn45/4
16.CA$16.B2A$15.A2.2A$3.AB7.C2B2.CB$2.3ACB6.B2A$.AB.4C5.CB$AB.A2.2C5.
2BC$.AB.2BC2AB4.BA$2.A3B.2AC.A.2A$3.AB.B3CA.2A$4.AB.3A.BA$5.ABACABA$6.
ACACA$6.2AC2A$7.3A!

Code: Select all

x = 7, y = 5, rule = 2-a3-aei4-aceik6k78/2-a3-akn456kn/4
3.A$2.ABA$.AB.BA$2A.A.2A$.BC.CB!

Code: Select all

x = 4, y = 3, rule = 2-a3-aei4-aceik6ei/2-a3-ak456-ae/4
3A$A.2A$3A!

Code: Select all

x = 11, y = 11, rule = 2-a3-aei4-aceik5acin/2-a3-ak456-ae/4
4.C$.C2.BA$.C3.3A$BA4.3A$.CB3.A.BA$2.C4.A.BA$3A3.A.BA$BC2A.C.BA$C.3A.
2A$3.2ABA$5.A!
It seems like this rulespace is just home to many exotic speeds, periods, slopes, and... RRO's (?)
Can anyone identify the speeds and periods of these oscillators and ships?
My Rules:
Hash2F (R3,C2,S4,B5-6,N#)
Growth & Isolation (123/2cn345678/8|236/345678/8)
*unnamed rule* (2-a45678/35aei678/3|4568/2-ce35aei678/3)
*unnamed rule* (/2-e3ae/3)
I'm back after a 3 year break!
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FWKnightship
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Location: Hey,wait!! Where am I!? Help! Somebody help!I'm lost!!

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by FWKnightship »

NimbleRogue wrote: August 22nd, 2026, 6:09 pm This rule is interesting because looks like it might have mealworms of every slope in form (2n+4m,n) n>0,m>0. Mealworms in this rule are based around a p2 backend and a stable frontend. Certain states of the frontend will lead to a signal traveling back which will advance the backend 2 cell forward and 1 cell to the side and to send a signal back to the frontend. The catch is that the direction of the 1 cell move to the side is based on the state of the p2 backend.

Because every cycle can change the length of the ship, the frontend is constantly growing and shrinking. It can only be a ship if the length eventually repeats

B2cn3ay4aijkrt5-eiqy6a78/S12cei3ejnry4aijr5iy6ik7c8
A related rule where all of these mealworm spaceships works, and has two small and common spaceships, c/5d and 2c/21:

Code: Select all

x = 17, y = 4, rule = B2cn3ay4aeijkrt5-iqy6a78/S12-ak3ejnry4aeijr5iy6ik7c8
bo12bobo$ob2o11bo$bo13bo$bo!
Some other spaceships (c/4 by rlifesrc, c/6d by apgsearch, the rest by qfind.)

Code: Select all

x = 790, y = 155, rule = B2cn3ay4aeijkrt5-iqy6a78/S12-ak3ejnry4aeijr5iy6ik7c8
15bo47bobo55bob2obo41bo5bo41bo44bo46bo5bo5bo46bo47bo41bobo3bobo51bobo
44bo41bobo5bobo51bo49bobo41bobo3bobo$14b2o48bobo55b4o41bo7bo39b3o89b3o
bo2bo2bob3o44b2o47bo41bobo3bobo50bobobo42bobo40bo4bo4bo50bobo48b3o41b
3o3b3o$11bob2o49b2o56bo2bo41b2o2bo2b2o39bobo42bobo46bobob3obobo47bo46b
2o41b3o3b3o48b2ob3ob2o83bobobobobobo49bobobo91b2o5b2o$8bobobobob2obobo
42b3o55b4o41b2obobob2o38b2ob2o41bobo45b2o4bo4b2o46bo43bob3o41b3o3b3o
50bobobo41bo3bo39bo3bobo3bo50bobo46bo2bo2bo39bo7bo$9b2ob3o2bo2bo45b2o
54bo2bo42bo2bo2bo39bo3bo41b3o45b3ob2ob2ob3o44b3o45b3o41b3o3b3o51bobo
42b2ob2o39b2obobobob2o49bo3bo45bo2bo2bo39bo7bo$7bo7b2o6bo146b3o41bobob
o43bo45b2o2b2ob2o2b2o43bob2o43b2ob2o41b3o3b3o51bobo86bobo5bobo48bobobo
bo44bobobobo39bo7bo$8b4o4b4o2b4o190bo42bob2o44bobo2b2ob2o2bobo44b2o44b
o2bo42bo5bo52bobo42b5o39b2o7b2o47b2o2bo2b2o43bo2bo2bo39b2ob3ob2o$8b3ob
o3b2obobobo2bo188bobo42b3o44b2o2bobobobo2b2o45bo42bob4o102bo42b2o3b2o
38bob2o3b2obo47b2o5b2o43bob3obo39bo3bo3bo$7bo2bo8bo2bobobo189bo45bo44b
2o3b2ob2o3b2o45bo42bo4bo40bo4bo4bo50bobo41b2obob2o38bobo5bobo47bobo3bo
bo43bo2bo2bo39bobobobobo$6b2obo17bo187bobo41b4o44bo2bo3bo3bo2bo42bob2o
42b2o44b2o2bobo2b2o94b2o3b2o38bo4bo4bo47bob5obo43b2o3b2o39bo3bo3bo$7b
3o8bo3b2o189b2o3b2o42bo44bo3b2o3b2o3bo42bob2o42bob2o42b2ob2ob2ob2o94b
2o3b2o38b5ob5o47b4ob4o43b3ob3o39b2o2bo2b2o$9b2obo6bo2b2obo3bo185b3o43b
o45bo13bo42b2obo42b2o44bob2o3b2obo48bo5bo39b2o3b2o38bob2o3b2obo47bo3bo
3bo43b2obob2o39b2obobob2o$10bobo11bob2o187b3o91b2o3bo3b2o44bobo43bob4o
40b4obob4o47bo2b3o2bo38bob3obo38bobobobobobo47bo2bobo2bo43bo2bo2bo39bo
7bo$8b2o4bobo4bo3b3o231bo49bob2o3b2obo44bobo43b2o3bo40bo9bo47b2o5b2o
38bob3obo38bo4bo4bo47bo3bo3bo43b3ob3o39bo2b3o2bo$7bo4bo4bo9b2obo229bo
46bob2o3bo3b2obo42bo45bo2bobo40b2o7b2o48b3ob3o39bob3obo38b4o3b4o47bo7b
o43bo5bo39bobo3bobo$8b2o2bobobobo7bo2bo279bobo2bo2bobo44b2o49bo41bobob
obobo52bo42bo5bo38bo3bobo3bo47bo2bobo2bo43b2obob2o39bobo3bobo$10b6o11b
o2b2o230bo45bo2bobobobo2bo43b2o46bo2bo43bobobo97bo2bo2bo38bo2b5o2bo47b
o2bobo2bo43b2obob2o39bo3bo3bo$10bo3bo11b2ob2o278bobo2bo2bobo44b2o48b2o
42bob3obo53bo42bo5bo38bo2bo3bo2bo47b3o3b3o43bo2bo2bo39b2obobob2o$11bo
2b2o11bo281bobob3obobo44bo2bo46b2o41bo2b3o2bo49bobobobo39bo2bo2bo38bo
9bo47bo3bo3bo43b2o3b2o39b2o2bo2b2o$11b2obo3bo9bobo279bobobobobo45bobo
44b2o2bo40bo3b3o3bo48bo5bo39b3ob3o38b2o2bobo2b2o47bo7bo43b2obob2o39bob
o3bobo$14b3obo2bo6bob2o278b3o3b3o45bo3bo43b2obo40b2o7b2o47bob2ob2obo
38bo5bo38b2o3bo3b2o47bo7bo43bo5bo39b3o3b3o$23b2o7bo276b4o3b4o44bo2bo
45b3o40bo9bo47b2ob3ob2o38bo5bo38bobo2bo2bobo99b2o3b2o39bobo3bobo$15bob
o2bobobo5b3o281bo49bo47bo2bo40bo9bo47b3obob3o38b2o3b2o38b5ob5o99bob3ob
o39bo7bo$16bo2bobo3bo2bobo277b3o7b3o43b3o44b2o2bo40bob2o3b2obo47bo3bo
3bo38bobobobo38b2obobobob2o47bobo3bobo43b2obob2o39bo3bo3bo$20b2ob2ob3o
b2o275bob2o7b2obo42b2o44bo3b2o40bo3bobo3bo47b2ob3ob2o38bobobobo38bo3b
3o3bo47b2ob3ob2o43bobobobo40bo5bo$22bobo2bo4bo274b2ob3o3b3ob2o42bo45bo
bo2bo40bo2bobobo2bo47b2obobob2o38bo5bo38bobob3obobo47b3obob3o43b2obob
2o40bobobobo$23b2ob2o2b2obo273bo4bo3bo4bo88bo4bo42bobobobo49b2o5b2o38b
obobobo38b2o7b2o47b4ob4o43bo2bo2bo40bob3obo$27bo4b2o273bobo2b5o2bobo
44bo43bo3b2o45bo52b3obob3o38b2o3b2o38bo2b2ob2o2bo47b2o5b2o43bo5bo40bob
obobo$307bo3b7o3bo88bobo2bo45bo52b9o38bo5bo38b2o7b2o47bo2bobo2bo43bo2b
o2bo42bobo$307b2ob2obobob2ob2o88bob4o44bobo51bo7bo38bo2bo2bo38bo3bobo
3bo47bobobobobo43b3ob3o39bobobobobo$63bo2bo2bo51bo2bo2bo179b2obo3bo3bo
b2o88b2o3bo43b2ob2o50b2obobob2o38bob3obo38bob2obob2obo47bo7bo43bo2bo2b
o41b5o$167bo2bo2bo133bo2bo2bobo2bo2bo88b2ob3o43bo3bo51b2obob2o39bo2bo
2bo38bo4bo4bo47b9o43bo5bo$307bo4bo3bo4bo88b2o3bo44bobo54b3o41bo5bo40b
2o3b2o49b4ob4o43bobobobo$63bo57bo185bobo3b3o3bobo88bobobo46bo99bobobob
o40bo5bo49b2o5b2o43bo2bo2bo$167bo139bobo9bobo88bo2b2o44bobobo54bo42b2o
bob2o42b3o51bo7bo43b3ob3o$307b2ob2o5b2ob2o89b2o45bo5bo51b2ob2o40bo2bo
2bo40bo2bo2bo49b2o5b2o43bob3obo$63bo2bo2bo20bo30bo2bo2bo179b2obob2ob2o
bob2o90bo47b3o52b2o3b2o39bob3obo39b3o3b3o48bo3bo3bo43bo5bo$167bo2bo2bo
133bo5b3o5bo137bo3bo51bo2bo2bo39bobobobo39bob5obo48b3obob3o43bo2bo2bo$
213bo2bo2bo87b5ob3ob5o136bo5bo50bo5bo39bob3obo39b2o5b2o48bo7bo43bo2bo
2bo$90bo216b3o9b3o139bo53bob3obo39b7o39bo3bo3bo48bo7bo43b2o3b2o$307bo
13bo136bo2bo2bo95bobobobobo38b2o2bo2b2o48b2o5b2o43bob3obo$213bo93bobo
9bobo139bo56bo41bob5obo38bo7bo48bo3bo3bo43b2obob2o$57bo2bo2bo2bo2bo2bo
2bo2bo5bo2bo2bo24bo2bo2bo2bo2bo2bo2bo2bo122bo2bo2bo41b2obo7bob2o139bo
98b2o2bo2b2o38bo7bo48b3obob3o43bo5bo$161bo2bo2bo2bo2bo2bo2bo2bo124bo
13bo137bo3bo52bobobo39b2o5b2o38b3o3b3o48bob2ob2obo43bobobobo$213bo2bo
2bo86b2obo2bo3bo2bob2o237bo3bo3bo38bobo3bobo48b2o5b2o43bo5bo$84bo5bo
168bo47bo2bobo3bobo2bo194bo3bo42b3o42bo5bo49b2ob3ob2o43bo2bo2bo$306bo
5bo3bo5bo192b7o39bo2bo2bo96b2o2bo2b2o43b2obob2o$307bobob2o3b2obobo194b
5o41bobobo97bo7bo43b3ob3o$63bo2bo2bo14bo2bo2bo30bo2bo2bo131bo2bo2bo45b
2o3b2o198bo3bo143bobo3bobo43b3ob3o$167bo2bo2bo133b2o2b2o3b2o2b2o194b5o
43bo99bo3bo3bo43bo2bo2bo$207bo2bo2bo2bo2bo2bo2bo2bo81bobo3bobo197bo3bo
143b4ob4o43b2obob2o39bo5bo$63bo63bo180bo3bo3bo3bo195bobobo143bob2ob2ob
o43bob3obo$173bo134bo3bo3bo3bo195b5o143b3obob3o44b5o$6bo2bo2bo295b2o2b
o3bo2b2o43bo2bo2bo145bo3bo143bob2ob2obo44bobobo40bo5bo$63bo2bo2bo51bo
2bo2bo125bo2bo2bo2bo2bo2bo2bo2bo33b2o2bo3bo2b2o343bo7bo46bo$167bo2bo2b
o135bob2o3b2obo344bobo3bobo46bo$6bo206bo5bo90b2o5b2o45bo299b2obobob2o
44bo3bo40bo2bo2bo5bo2bo2bo$63bo5bo51bo542bo7bo43bob3obo$173bo490b2obob
ob2o43bo2bo2bo$6bo2bo2bo20bo179bo5bo144bo2bo2bo294bobobobo44bob3obo45b
o5bo$63bo2bo2bo51bo2bo2bo131bo2bo2bo400bo3bo45bo2bo2bo$167bo2bo2bo493b
obo46bo2bo2bo$33bo179bo2bo2bo190bo2bo2bo250bobo46bo5bo45bo5bo2bo2bo$
259bo196bo2bo2bo204b3o46b2o3b2o$666bo3bo45b2obob2o$o2bo2bo2bo2bo2bo2bo
2bo5bo2bo2bo185bo138bo2bo2bo2bo2bo2bo2bo2bo30bo195bo2bo2bo55bo47b2o3b
2o$259bo2bo2bo196bo253b2obob2o$716b2obob2o$27bo5bo185bo190bo2bo2bo195b
o103b3ob3o33bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$265bo190bo2bo2bo5bo2bo
2bo241b2o3b2o$716bob3obo$6bo5bo14bo2bo2bo330bo2bo2bo235bo2bo2bo5bo2bo
2bo91b2obob2o$259bo2bo2bo190bo11bo247bo5bo$716bo5bo$6bo5bo351bo39bo2bo
2bo2bo2bo2bo2bo2bo180bo11bo97bob3obo45bo5bo$456bo2bo2bo5bo2bo2bo85bo2b
o2bo149bo2bo2bo$306bo2bo2bo403b2o3b2o$6bo2bo2bo351bo2bo2bo235bo2bo2bo
5bo2bo2bo91bo5bo45bo5bo$560bo155bo5bo$312bo201bo2bo2bo195b2obob2o$12bo
351bo5bo39bo2bo2bo299b2obob2o45bo5bo$450bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo76bo2bo2bo149bob3obo$306bo2bo2bo5bo2bo2bo189bo201b2obob2o$12bo
351bo2bo2bo45bo183bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo82bo5bo45bo5bo$
716bobobobo$306bo11bo195bo2bo2bo195b2o3b2o$416bo299b7o45bo5bo$462bo2bo
2bo85bo2bo2bo2bo2bo2bo2bo2bo140b2obob2o$306bo2bo2bo5bo2bo2bo391bo5bo$
416bo195bo2bo2bo97b2o3b2o$468bo247b7o$508bo2bo2bo2bo2bo2bo2bo2bo137bo
2bo2bo42b2o3b2o$416bo195bo5bo97bob3obo$468bo91bo2bo2bo149b2o3b2o$300bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo333bo48bo5bo$612bo2bo2bo97b2o3b2o$
468bo91bo5bo149bo5bo$514bo2bo2bo146bo2bo2bo42bobobobo$618bo98b5o$468bo
91bo2bo2bo$312bo2bo2bo195bo5bo$612bo2bo2bo$566bo$312bo201bo2bo2bo137bo
2bo2bo2bo2bo2bo2bo2bo2bo2bo2$560bo2bo2bo$312bo2bo2bo195bo5bo3$318bo
195bo2bo2bo143bo5bo2bo2bo3$312bo2bo2bo345bo5bo5bo3$664bo5bo5bo3$664bo
5bo5bo3$664bo5bo2bo2bo3$716bo2bo2bo3$716bo3$716bo2bo2bo6$710bo2bo2bo2b
o2bo2bo2bo2bo6$716bo5bo3$716bo5bo3$716bo5bo3$716bo5bo3$716bo5bo!
Very long c/19:

Code: Select all

x = 3220, y = 3, rule = B2cn3ay4aeijkrt5-iqy6a78/S12-ak3ejnry4aeijr5iy6ik7c8
2b3218o$o2bobobob7ob6obo2bobobob2ob3o2b5obobo2bobob5o2b3obob3ob2obob6o
b5ob6obob5obob10obob6obob7obob2obobob4ob3obo2b3obobob4obob3obo2bobob4o
b2ob3obobo2bobob5ob2obobobob4obobob2obob5o2bobob3ob3ob4obob3obob3ob8ob
5obob4ob2ob8obob3ob3ob2ob5obo2b5o2b5ob4obobobo2bobob7ob14ob2ob3obob2ob
ob3ob2obobo2bobobob4ob3ob4ob3o2b14o2b8obobob2obob4ob2obob3ob2obobob4ob
4ob3obobobobobobo2b7o2b3ob6obo2b6obobo2b3obob3ob2obob3obob2obobob8ob
10ob3ob6obobob3ob8obob6ob5o2b3ob5obo2b3ob2obobobob3ob3ob2obobobob4ob4o
b3ob2ob4ob3ob2ob6ob8obobobobobobobo2bobobobobobob8ob7obob5ob3ob10obo2b
ob4obob6obo2bob4ob2ob7obob7ob3o2bob3ob2ob4ob5obobobobob6ob8ob5ob4obobo
b2obob2obobobo2b3ob7obob7ob6ob10ob3obob2obobob10ob5ob3obob2ob7ob6obobo
bob2obob2obob4ob3ob10obobob3obob4obobob3ob4ob4obo2bobobob10obo2bob5ob
2obobo2b3ob6obobobobob3ob4ob3ob8obob7ob2obobo2bobob5obobob2ob3obob4ob
2obo2b3ob4ob10obobob2obobob4ob2obob2obo2bobob5ob2obobobob2ob3o2b3obob
6ob3obobobob4obob5ob6obobob2obo2bobob3o2b5obob3o2b7ob16obo2b5ob10obob
2ob5ob6ob3obob2obob5o2b3o2b7ob3ob3ob2ob3obob7o2b3ob4obob3obob4obob5ob
2ob6obo2bobob4o2bob6ob5ob2ob3obobo2bobob3o2b5ob3obob2ob5ob2ob3obobobob
obobo2bobob8ob4obob5obo2bobobob3ob3ob2obobob12ob2obob4obo2bob3ob3ob4ob
obob3ob4ob5o2b3ob8obob5obobob6ob2ob3o2bobobob6obobobobobo2bobobobob3ob
4obobobob10ob5ob2obob4obobob3o2bob3ob4obob2obob2obobo2bob5obob3obobobo
b4obobob3ob4obo2bobob2obob3obob4obob3ob2obob3ob3ob2obo2b12obobob4obob
3ob2obobo2b3o2bob6ob2ob6ob2ob4ob5obobobobo2bob2ob8o2b6obob9o2bobob3ob
2ob3ob20ob3ob2ob3o2bob8obobobo2bobobobob4obobobob6o2bob3obob2ob12ob2ob
7ob2ob3ob5obobob4ob10obob2obob6ob14ob2obobobo2b3ob4ob7ob2ob5obob3ob3ob
2obob10ob8obob6obob3obo2b3o2b3obobob2obob3ob3ob2obob5obo2bob5obo2b3obo
bob7ob9o2b3ob6ob5ob3obobobobobobobo2bobobobobob10ob16o2bobob5ob5obo2b
5ob5obobobo2bobob10ob2ob3ob4obobobobobobobo2bobob3o2bobob3ob4ob6o2bob
3ob5ob2obob5ob4obob12ob2ob3ob8obobob3ob2obobob2obob6o2bob4obob3ob2ob4o
b3obobob4obobobo2b3ob8obob2obob8obobob8obobobobo2bob5ob3ob4ob5obob3ob
2ob3ob3obob5obo2b12ob5ob2ob3ob3obob4ob3ob4ob5ob3o2b3o2b5obobobobo2bobo
b2ob5obo2b3ob3ob3o2bob3ob3ob3obob6obobobobobob3ob6obobob2ob3o2b3o2b3ob
obobobo2bobob3obob3ob2obob3ob4ob3obob3ob3o2bobobob3obobob8ob9obob2ob6o
2b3o2b3o2b10ob3ob2ob10ob2ob3ob9obobob4obobob3obobobob14ob2o$2b3218o!
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.
CasperWen8805181
Posts: 235
Joined: November 5th, 2023, 10:57 pm
Location: La La Land

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 »

Code: Select all

x = 27, y = 9, rule = 2aek3ijnqr4it5cnr6aek/2k3-ekqy4ijqy6i7c/3
4.2BA$2.2A3BA$.A4.BA$2A.2A.B$.6A17.B$5.A19.B$26.B$25.B$24.B!
c/29 (2c/58)

Code: Select all

x = 5, y = 6, rule = 2aek3-aeky4it5cnr6aek/2k3-ek4ijknqwy5cnr6/3
.A$B3A$A.BA$.A.2A$.3A$2.A!
(2, 9) Oblique

Code: Select all

x = 23, y = 5, rule = 2aek3-aeky4it5cnr6aek/2k3-ek4ijknqwy6/3
.3A6.3A6.3A$.A2BA5.A2BA5.A2BA$BA.BA4.A.ABA4.BA.BA$.AB6.A2BA6.AB.A$9.A
2B9.AB!
Belongs in Mutant Xwss?

Edit:
Oblique Puffer

Code: Select all

x = 4, y = 5, rule = 236/2e34nwz7e/4
2.2A$.ABA$.A.A$2ACB$.BCB!
My Rules:
Hash2F (R3,C2,S4,B5-6,N#)
Growth & Isolation (123/2cn345678/8|236/345678/8)
*unnamed rule* (2-a45678/35aei678/3|4568/2-ce35aei678/3)
*unnamed rule* (/2-e3ae/3)
I'm back after a 3 year break!
User avatar
yyh_baboon
Posts: 527
Joined: March 28th, 2025, 5:07 am
Location: on a spaceship

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by yyh_baboon »

The ships is on fire🔥

Code: Select all

 x = 34, y = 106, rule = 2-a3-aei4-aceik5en6i/2-a3-akn45-en6ek/4
90$22.A$21.ABA$20.AB.BA$20.CABAC$22.B2CB$23.2C$21.C$20.2B5.A$21.CAB2.
BAB2.AC$21.BCA2CACACB2AB$21.2A3C.B.CABA$22.2ACABABACA$23.2ACACAC2A$24.
2ACAC2A$25.2AC2A$26.3A!
Definitely not spam
Wondering when the P38 gun will be constructed.
Currently hand-searching spaceships.ÔvÔ

Code: Select all

 x = 4, y = 4, rule = B3aeiq4tz5j6i7e8/S2-ci3-aeky4cei5ain6acin78
3o$o2bo$3bo$b3o!
CasperWen8805181
Posts: 235
Joined: November 5th, 2023, 10:57 pm
Location: La La Land

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 »

Precursor for a pretty cool oscillator of period *Insert Correct Period*

Code: Select all

x = 37, y = 3, rule = 2-e34en/345/3
.A33.A$3A31.3A$.A33.A!
Born from this failed replicator:

Code: Select all

x = 3, y = 3, rule = 2-e34en/345/3
.A$3A$.A!
And one transition away, this is the replicator if it actually worked:

Code: Select all

x = 3, y = 3, rule = 2-e34en7c/345/3
.A$3A$.A!
Edit: c/34 in alternating generations rule

Code: Select all

x = 23, y = 25, rule = 2-a3-ae4-aceik5e/2-a3-ak45/4|23678/2e34nwz7e/4
11.A$10.BAB$10.C.C$8.2A.B.2A$7.3A3.3A$7.AC.3A.CA$7.ABC3.CBA$9.CBCBC$4.
3A.BAB.BAB.3A$3.BCABC7.CBACB$2AC2.A.A7.A.A2.C2A$2A4.2B7.2B4.2A$CA4.C2B
CB.BC2BC4.AC$7.ACB.C.BCA$7.2ACACAC2A$9.AB.BA$10.3A$9.B3AB$8.2CB.B2C$8.
B.3A.B$8.2CA.A2C$8.2C3A2C$9.BCACB$9.2AC2A$10.3A!
And this... What would this even be called? A replicating rake?

Code: Select all

x = 13, y = 13, rule = 2-a3-ae4-aceik5e/2-a345/4|23678/2-ac34nwz7e/4
6.A$5.4A$3.BAB2CB$3.C.AB2.C$7.AB.BA$.ABA3.CB.CA$ABCBA.3BA.2A$.ABA3.CB
.CA$7.AB.BA$3.C.AB2.C$3.BAB2CB$5.4A$6.A!

Code: Select all

x = 11, y = 11, rule = 2-a3-ae4-aceik5e/2-a345/4|23678/2-ac34nwz7e/4
8.A$7.ABA$6.2A.2A$6.2A.A$7.3A2$2.2A$.4A$AB2.A$.4A$2.A!
In the same rule is crazy
My Rules:
Hash2F (R3,C2,S4,B5-6,N#)
Growth & Isolation (123/2cn345678/8|236/345678/8)
*unnamed rule* (2-a45678/35aei678/3|4568/2-ce35aei678/3)
*unnamed rule* (/2-e3ae/3)
I'm back after a 3 year break!
User avatar
TheWayOfTheCon
Posts: 273
Joined: March 28th, 2025, 11:40 pm
Location: Kraken Mare, Titan

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by TheWayOfTheCon »

Rule with an absurd amount of wickstretchers.

Code: Select all

x = 64, y = 64, rule = B3678/S1345i678
!
#C  [[ RANDOMIZE ]]
I could've chose a better username, but oh well.

Still learning the ropes of cellular automata, focused on one OCA at a time. My current interest is B35/S126 and range-two LTLs.
CasperWen8805181
Posts: 235
Joined: November 5th, 2023, 10:57 pm
Location: La La Land

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 »

personally, I'm a huge generations fan, and I've recently tried to move to move to totalistic rules, and here is my first slightly interesting totalistic rule discovery, and engineered ship that is sloppily put together:

Code: Select all

x = 265, y = 102, rule = 24567/345678/6
185.DE$182.BCA.BDE$180.8A2DA$180.3AD7AD$167.2A10.2AB3AE6A$157.ACE5.4A
C9.4A.DB2A.AE2AE$153.ACE5A.6ACAD6.2E2ADB.E.CEDB4AD$152.6A2B11AEABE3.4A
CD5.CB4A$152.10A3BAEA.5AE3.4A.C7.CB3A$151.2ABA.14A3CBD2.ED3A8.E.DCA$151.
2ABA.2A2.11ABACE4.2B$152.12AE.DCADBC$152.3AD9A.EDBA$153.3ABE.4AD$153.
ABD3.ACD2.E2$59.E$60.2E.E$60.D.DABCD133.2E$59.C2.DC2ABE$59.E5AE2A132.
2A$59.6AEA.2A129.B2EB$52.D6.4AB6AC128.C2.C$36.ABD9.2E.2EDE.DE3AC4ACAB
2AB126.D4AD$32.ABD.3ACE.E.5ACD.C.D2B4ACBD.B7A125.BA2BAB$32.9AE7ABEAB2.
CD5AC2.EC.AD3A125.6A$31.6A2E5ABACA2.2AB2.CD2AECA3.DEDC3A128.2A$31.2AC
2AD3E13ACDB2A10.BCA$31.2AC2AC3E2A3DAE5AB2.EDA$31.7AD2EABC4AE.CDE$32.3A
E6A2.BA$32.3ABC.4ACEDE$33.ACE3.ADEBCD4$78.2B$77.C2.C$77.D2AD$2.ACE71.
EA2BAE$.4ADEBCE66.CA2CAC$.2AC6AD65.6A$8ACBC2.2AB61.4A$2AC3AEAC2A.E3AC
.ECA21.ECA21.ECA21.ECA21.ECA21.ECA45.ECA45.ECA$8AC2AD2A2CADB3A18.ADB3A
18.ADB3A18.ADB3A18.ADB3A18.ADB3A42.ADB3A42.ADB3A$3AD8AEA4BE3A17.ACBE3A
17.ACBE3A17.ACBE3A17.ACBE3A17.ACBE3A41.ACBE3A41.ACBE3A$.3ABE.CD4AC.AC
DC3A18.ADC3A18.ADC3A18.ADC3A18.ADC3A18.ADC3A42.ADC3A42.ADC3A$.ABD6.AB
E6.DBA21.DBA21.DBA21.DBA21.DBA21.DBA45.DBA45.DBA6$236.ACE3.ADE$80.2A153.
3ABC.6A$78.6A151.3AE4A2B2AB2D$78.B4AB150.16ABE2A$78.DA2DAD150.2AC12AC
4ABCA2C.DB.D$79.A2CA151.2AC5A4.12AB4ACD$40.ABD3.ABE.BC27.E2BE151.8AC4.
2A2BACA2B7AB$40.3ACD7AE27.DB153.6ACA4.5ACAB7ACA$39.2ABA.4A2C2AE4.2A20.
EBCD152.ABD.3ABA3.C2AEAC3AEAC2A$39.6A2B4AB4.CABA19.DEDC156.ABD5.DB6A2E
4A$38.3ADA6B2A4.ABCBD3.D5.AB.DBA172.CD.D2A.AE3AD$38.3ADA6B4A.3AC3ADE.
E.ABD5AB178.6A.E$39.4A2B12ACA.2A3.6A.2AC178.A.ECBA$39.7A2DAC3AB9A2.CA
3CA.3A$40.ACE3A3B2ADAB3ADA2CAE2.D7AC$44.ACEACE6A2D6AEB.AEACAD$50.ACB4A
BAE2AB2AD7A$55.2ACDA.6A.3AB$61.3A2C3AEA75.2A$63.4AB2A74.6A$63.A.3AB75.
BA2BAB$67.A76.D4AD$145.C2.C$145.B2EB$146.2A2$146.2E8$95.ABD3.ACD2A$95.
3ABE.5AC$94.3AD8AC4.EDBA$94.11A5.5AD$93.2ABA.2A9.E6AE$93.2ABA.4A4.EDE
.8A$94.11A.8A2B2A20.DCE$94.6A2B7AE7A6.EDADEC6.CB.BAB$95.ACE7AB2A.3ACA
EA7.E2A.BD5.D5ABD$99.ACEAC3A.7AE7.C5A5.6ADC$105.A2.E2A2EBC9.DAB4AEDC2A
.3A$109.DABCE11.B2AD9AC$110.CAD13.CB6AE2AE$127.DCEC5AD$131.ABCDA!
Wait hold on what is this weird natural ship?
Nevermind, I lost it. it was a small head that grew on one side and grew to I think a little more than 100 cells wide, and then stopped. it was very very large and natural.
It looked something like this:

Code: Select all

x = 62, y = 76, rule = 24567/345678/6
19$39.4A$37.7A$37.B2A2CAC$37.D5A$37.8A$37.ABC.D4A$38.D2.4AC$37.ACA.2A
.A$37.7ACA$39.A2BADAD$38.8A$38.3A3C2A$38.2A4C2A$35.D4A3CBA$34.C3ABA3C
4A$33.B2A.AB9A$32.6AB2A.2A2DBD$32.2AC7AC2ADC$31.8A.A.4AC$31.3AD3A.AB.
2ABA.D$31.10AD2AB2A$30.2AB3A2B8AC$30.9ADA2CA2D2A$29.3AD5ABDB2C3AB$29.
3ADAC2A.C2AC4A.D$27.D2AB6AD.3ABA$26.C5A2B5A2.CD$25.B2A.AC8A$24.11A2BA
$24.2AC3A.4A2B3A$23.7A.4A3B2ADBA$23.3ADAB6A2B5AB$23.5A2BAC6A2D2AD$22.
2AB5ABCAD.C2ADB2ADC$22.6A4CBC2DBABC2AB$21.3ADAB2AB3A6.D2A$21.11A.BCD3.
C2A$19.D2ABA.AD8ABC2DB3A$18.C8AC.3AB4AB5ABA$17.B2A.ACABA3.AB3A2D8A.BA
$16.12A.AB4AB12A$16.2AC3A.AC2AC.AB3A3C7AC3A$15.12AD.6A2B2A.4A2C3A$15.
3ADAC3A.3A.DB4A3D3A2.6A$15.9A.3A.D4.C2B2ABA3.AB2A$14.2AB3ADAC4A.2A4.D
2AC4A2D4A$14.B13ABD5.10ACAB$14.CADAB3AD3ACDC5.CAB12A$14.A2DB9AC5.B.7A
C2AD3A$13.3A3DAB3AB2AD4.CD3ADA.5A2DAD$14.CABCB6ABADA2.D.3ACAC.9A$16.B
2.AC4AB3AD.4A4.5A2C2A$15.AD4AC3ABAD5ABA.2CB5ACAB$13.6ADACADAB4ACA2BAB
C2D2A2B2ABAD$12.18AC4A5D5A$12.C3AC5A.3AC5A.3A4DCB$12.DAD4AD3AD4A.2A2.
BC4ADCD!
First oscillator!

Code: Select all

x = 4, y = 4, rule = 24567/345678/6
.2A$A2.A$A2.A$.2A!
My Rules:
Hash2F (R3,C2,S4,B5-6,N#)
Growth & Isolation (123/2cn345678/8|236/345678/8)
*unnamed rule* (2-a45678/35aei678/3|4568/2-ce35aei678/3)
*unnamed rule* (/2-e3ae/3)
I'm back after a 3 year break!
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TheWayOfTheCon
Posts: 273
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by TheWayOfTheCon »

CasperWen8805181 wrote: August 26th, 2026, 9:13 pm Wait hold on what is this weird natural ship?
Nevermind, I lost it. it was a small head that grew on one side and grew to I think a little more than 100 cells wide, and then stopped. it was very very large and natural.
It looked something like this:
This looks a lot like what you're describing.

Code: Select all

x = 40, y = 85, rule = 24567/345678/6
32.2A$30.6A$29.6AB$29.C3ADAD$29.EBE2AB$30.C3AE$31.3A$30.2AC3A$29.6AC$
29.D5AD$29.E6A$29.AC3E3A$30.BDB3AB$29.E.CB3AE$33.D2A$32.EC2A$31.B3A$30.
5AE$30.2ACAEA$29.4ABE2A$29.2ABA2EB$29.2ABAE2AC$29.2AB4AB$28.2AB2ADCBA
$28.2ABAC$26.E2A2B3A$25.D3A2B2AB$24.C2A.4AEAE$23.BACA.7A$22.7A.5AE$22.
2ACAE2ADACACABDE$21.9AE3.D.2CD$21.2ABAEA.2A3.EDABDAB$21.2ABAE4AE.7AB$
21.13AC3A$20.4A2D3AD8AC$20.2ACA2DAC7AD2AB$18.E3AC6A.9A$17.D4AC4AEA.4A
BAC$16.C8A.C6AB2A$15.B3A.3A3.D4A.4A$14.3AD5A4.A.AE3A$14.7A.AD7.2A$13.
3ACA.6A6.DAE$13.12A7.ED$13.3ADA2E5ABD$13.4ACDBD2.ACAD$12.3ADA3.C.ABC4A
$12.3AD5A.DBAC4A$10.E5AD5AE.2AC3A$9.D4AC3A.5AB2AC3A$8.CAD6ABA.5A.2AC2A
$7.B7AEDC3.ED3A.4A$6.3ADA.ADAE2ADEC.8AC$6.3AD3AD5AB2AEAB3A2E$5.2AB7A2B
A2D6AC$5.2ABAE2ACE4A2DAB3ADC$5.7ADE9AEADC$5.3AE3A2E3AC8AC$4.11AD2ABD2A
3B2A$4.3AD3AD3ABCAE.EA3B2A$2.E11A.D5.7A$.D4AC6AB6.3A2D2A$5ABC4ADE7.7A
$D2A.A2CABAD.E7.B4AB5.2D.D$10AE.DCA5.D4A5.E2.2ED$2.A2CAE3AEDC3A.ABDE2C
11.E$.5AE3A.DE2AD3AB$9AC.ECAE2ABAC$3A.2AC3A2.DB5A$.2C3ACA5.ADE.BA$.BA
B5A$ECA.2AEAB$DAB5AC$CE.AD2AD$8.E4.BCEA$13.C4ACE$13.DA2B2AE$12.B2A3B2A
8.D$11.AC2AB3AB6.2E.D$12.5AD2A8.CBA$12.2E.E4AE6.E2A$11.E4.B3A2DE5.2B$
16.A.ABE7.2C$17.BC!
I could've chose a better username, but oh well.

Still learning the ropes of cellular automata, focused on one OCA at a time. My current interest is B35/S126 and range-two LTLs.
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 »

TheWayOfTheCon wrote: August 26th, 2026, 9:50 pm
CasperWen8805181 wrote: August 26th, 2026, 9:13 pm Wait hold on what is this weird natural ship?
Nevermind, I lost it. it was a small head that grew on one side and grew to I think a little more than 100 cells wide, and then stopped. it was very very large and natural.
It looked something like this:
This looks a lot like what you're describing.
Yes! but... the entire backend didnt just die after, the entire thing was stable and wider, but I doubt we'll find it (the exact ship) considering the sheer amount of ships that could function like it

Edit: Failed rake that is quite a neat ship

Code: Select all

x = 18, y = 63, rule = 24567/345678/6
7.4A$4.BCD4ADCB$4.C8AC$4.E8AE$5.CAB2.BAC$5.EDE2.EDE$7.D2.D2$5.AB.2A.B
A$4.10A$4.C3A2.3AC$4.B3A2.3AB$3.5A2.5A$3.12A$3.D3AB2DB3AD$3.B3AC2DC3A
B$3.5A2D5A$4.B8AB$5.2A4B2A$5.E2A2B2AE$5.DE4AED$7.4A2$8.2A$6.6A$4.10A$
2.6A2D6A$2.B3AD4AD3AB$2.DAD8ADAD$3.B4A2.4AB$3.EAB2A2B2ABAE$4.AB2A2C2A
BA$4.3AD2.D3A$4.3AE2.E3A$5.2B4.2B$6.E4.E$5.2D4.2D4$3.DE3.2D3.ED$2.4A.
E2AE.4A$2.B12AB$2.CA.ADA2.ADA.AC$.D6A2B6AD$.EB4A4C4ABE$.A3CB2A2C2AB3C
A$DA5D4B5DAD$B2A3C6D3C2AB$3A2.8A2.3A$2.14A$.DAB2A.4A.2ABAD$.B3AC6.C3A
B$2.2A2DC4.C2D2A$.DA2E3A2.3A2EAD$.B5A.2A.5AB$2.14A$.D14AD$.B2AC8AC2AB
$.5AC4AC5A$3.5A2C5A$5.8A$7.4A!
Edit 2: Ooh! I found it! Not the exact one, but still one of its type!

Code: Select all

x = 23, y = 38, rule = 24567/345678/6
15.ABD$11.ABD.3ACE$11.7AE2A$11.2AC9A$11.4ADE5A$12.ACE2.ABC17$.4A$.B2A
B$.D2AD$2.2A$.B2AB$.D2AD$2.2A$4AB$B3AD$DADA$.B4A$.EABAB$2.B2AD$2.E.A$
3.DE$3.2C!
And I found another one that seems to actually grow on forever (I'm stuck on lifeviewer and lifeviewer only, so I can't confirm)

Code: Select all

x = 14, y = 37, rule = 24567/345678/6
.BC5.E$.CAB$.D3A3.E$.E2AD$2.2BE.AB.E$.EC.D5A2E$.DB.6A.D$.5A2D2AD$2ABA
EA2D2AC$.3AE6AD$.5ACAE2AB$.3AC7A$2.2ACA2B2A$2.8AD$3.D5ACBD$3.BE3A2DAB
$2.3A.5A$3.B4A.2AD$4.CAE3A.B$5.E2AB3AC$6.4ABAB$6.CAD4A$6.5AE$8.3AD$7.
3AEAC$7.B.3AB$7.B5AD$7.D5AB$7.EA3CA$7.6AD$7.3AE2AB$7.C.5A$7.D4A$6.EAB
3AD$6.CA2C2AB$6.7A$7.4A!
It is also composed of an interesting agar!

Code: Select all

x = 20, y = 20, rule = 24567/345678/6:T20,20
D3AD3AD3AD3AD3A$20A$CA.ACA.ACA.ACA.ACA.A$20A$BAEABAEABAEABAEABAEA$20A
$2AD3AD3AD3AD3ADA$20A$.ACA.ACA.ACA.ACA.ACA$20A$EABAEABAEABAEABAEABA$20A
$D3AD3AD3AD3AD3A$20A$CA.ACA.ACA.ACA.ACA.A$20A$BAEABAEABAEABAEABAEA$20A
$2AD3AD3AD3AD3ADA$20A!
Edit 3: Promising stabilization of the agar:

Code: Select all

x = 18, y = 37, rule = 24567/345678/6
8.2A$6.6A$4.4A2B4A$2.4AB4AB4A$4AB3A2.3AB4A$BAB3A.4A.3ABAB$D3A.3A2D3A.
3AD$.C.3AD4AD3A.C$.D2AD3A2B3AD2AD$.5AB4AB5A$3A2B3A2.3A2B3A$B5A.4A.5AB
$E2A2.3A2D3A2.2AE$.5AD4AD5A$C7A2B7AC$D3A.8A.3AD$.4AE2A2.2AE4A$.C3AE.4A
.E3AC$2.CDBD.4A.DBDC$3.EB2AE2AE2ABE$3.E.3A2.3A.E$4.BCA4.ACB$4.2D2.2E2.
2D$8.2D$8.2E2$8.2A$4.EDC4ACDE$3.CB8ABC$2.5A4C5A$2.4AB4CB4A$3.E2A6C2AE
$4.3A4C3A$4.4A2B4A$6.2A2.2A$8.2A$8.2E!
Edit 4: This doesn't work :cry:

Code: Select all

x = 13, y = 20, rule = 24567/345678/6:T23,20
4AD3AD4A$B11AB$CA.ACA.ACA.AC$D11AD$EAEABAEABAEAE$13A$BAD3AD3ADAB$C11A
C$DACA.ACA.ACAD$E11AE$2ABAEABAEAB2A$B11AB$C3AD3AD3AC$D11AD$EA.ACA.ACA
.AE$13A$BAEABAEABAEAB$C11AC$DAD3AD3ADAD$E11AE!
So is this rule searchable or no cause of the growing ship? (I wanna call them growers)

Edit 5: I've seen many oscillators kind of like this, are these constructable? and if so, can these be used for stabilization of the agar mentioned above?

Code: Select all

x = 12, y = 12, rule = 24567/345678/6
6.A$4.E2AB$3.D4AE$2.CAD4AC$.B8AB$3ADABAEAB2A$3ADABAEAB2A$.B8AB$2.CAD4A
C$3.D4AE$4.E2AB$6.A!
My Rules:
Hash2F (R3,C2,S4,B5-6,N#)
Growth & Isolation (123/2cn345678/8|236/345678/8)
*unnamed rule* (2-a45678/35aei678/3|4568/2-ce35aei678/3)
*unnamed rule* (/2-e3ae/3)
I'm back after a 3 year break!
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rabbit
Posts: 244
Joined: March 4th, 2024, 6:00 am
Location: Stuck inside a magician's hat. it hurts so bad

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by rabbit »

In this rule, snakes serve as a 6-way (practically 5-way) splitter:

Code: Select all

x = 4, y = 8, rule = B3-cr5cei8/S2-in34i5k7c
obo$b2o$bo2$2b2o$3bo$2bo$2b2o!
Three different gun designs using the reaction:

Code: Select all

#C p298, 8-barreled
#C p330+, 8-barreled
#C p189+, 12-barreled
x = 753, y = 153, rule = B3-cr5cei8/S2-in34i5k7c
23b2o25b2o271b2o25b2o308b2o$23bobo23bobo271bobo23bobo308bobo$23bo27bo
271bo27bo308bo11$37b2o297b2o$37bo299bo$38bo297bo$37b2o297b2o6$683bo$3o
69b3o225b3o69b3o262b3o44bo$o73bo225bo73bo262bo44b3o$bo71bo227bo71bo
264bo10$47b2o298b2o$47bo299bo302bob2o$48bo299bo301b2obo47b2o25b2o$47b
2o298b2o352bobo23bobo$701bo27bo$47b2o$48bo$47bo$47b2o2$24bo299bo6b2o$
22bobo297bobo6bo$23b2o298b2o7bo$331b2o$638bo$637bo44b3o30b2o$637b3o44b
o30bo$683bo32bo$715b2o7$678b3o69b3o$678bo73bo$37b2o640bo71bo$38bo$37bo
$37b2o2$342b2o$343bo279b2o25b2o$342bo279bobo25bobo$342b2o280bo25bo2$
660bo$660bobo$660b2o4$691b2o$690bobo$692bo2$702bo25bo$700bobo25bobo$
701b2o25b2o6$601bo71bo$600bo73bo$600b3o69b3o7$636b2o$636bo32bo$637bo
30bo44b3o$636b2o30b3o44bo$714bo10$623bo27bo$623bobo23bobo$623b2o25b2o
47bob2o$699b2obo11$714bo$668b3o44bo$668bo44b3o$669bo20$692bo$690bobo$
691b2o!
(EDIT 2026-08-29: Oops, when I was pasting the patterns into this post, I accidentally only copied the latter of the three gun designs. I have fixed this.)

p112 flipper oscillator with large sparks:

Code: Select all

x = 7, y = 6, rule = B3-cr5cei8/S2-in34i5k7c
b2o$bo2bo$2o3bo$o4b2o$4b2o$b4o!
Last edited by rabbit on August 29th, 2026, 4:34 pm, edited 1 time in total.
That's the bunny.
Check out my OCA exploration script, crule.lua!
Dominos314
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Dominos314 »

(2,1)c/16 knightship with a minimum population of 4 cells and a bounding box of 3x2. Originally found by hand as

Code: Select all

x = 3, y = 2, rule = B2ek3ei4i5cir6c/S12aek3en4jr5inq6aci8
o$3o!
Non-explosive variation of rule (found with Python program)

Code: Select all

x = 3, y = 2, rule = B2-ac3eiky4-ajnrz5-a6-e78/S12-ci3cekny4-aeint5-j6-e78
o$3o!
WhiteHawk
Posts: 1359
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by WhiteHawk »

In life, the left catalyst stays intact, but the right one fails.

Code: Select all

x = 99, y = 18, rule = B3/S23
88bo$87b2o$bo86b2o$3o$2bo5$10b2ob2o$7bobob2obo79b2ob2o$6bob2o81bobob2o
bo$4b3o3bob2o76bob2o$3bo3b3o3bo74b3o3bob2o$4b3o3b3o74bo3b3o3bo$6bo2bo
78b3o3b3o$9b2o79bo2bo$93b2o!
Inserting that pattern into Pedestrian Life (B38/S23), the left catalyst is destroyed, but the right one survives

Code: Select all

x = 99, y = 18, rule = B38/S23
88bo$87b2o$bo86b2o$3o$2bo5$10b2ob2o$7bobob2obo79b2ob2o$6bob2o81bobob2o
bo$4b3o3bob2o76bob2o$3bo3b3o3bo74b3o3bob2o$4b3o3b3o74bo3b3o3bo$6bo2bo
78b3o3b3o$9b2o79bo2bo$93b2o!
Last edited by WhiteHawk on September 2nd, 2026, 12:09 am, edited 1 time in total.
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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Contact:

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by MDA »

A small 4c/8d:

Code: Select all

x = 12, y = 12, rule = B2ac3aq/S01e
4bo2$2bobo2bo$4bo$o4bo3bo2$2o5bo$2bo5b2obo2$4bo4bo$5bo$5bobo!
Edit (September 1st, 2026, 8:07 PM): A c/32 giraffeship:

Code: Select all

x = 8, y = 10, rule = B3/S23-a4ai6c
b2o$obo$obo$bo2$4b2o$4bo2bo$7bo$bo$o!
I feel like I’ve seen this binary counter somewhere, but I don’t know where.

Code: Select all

x = 14, y = 9, rule = B36-ek/S23-a4i6c
11bo$11b2o$12b2o$11b2o2$o$2o$b2o$2o!
My website (a database of Life objects, WIP).
GlidINT has been released!

Code: Select all

x = 5, y = 17, rule = B3-ry4acenqt5eir6-ek/S2-a3-a4nq5aeknr6-akHistory
C$2C$.2C$2C11$.3D$3.D$2.3D!
[[ STOP 72 ]]
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by FWKnightship »

NimbleRogue wrote: September 1st, 2026, 6:09 pm All knightships with speeds ≤(2,1)c/12

Code: Select all

x = 27, y = 17, rule = B2cin3aej4cqrtwy5er6-cn7c8/S01e2-ai3cejnr4-ay5ijnqr6ik7c
24bo$24bo$24b3o$22b3o$20b3o$15bo2b3o$16b3o$14b3o$12b3o$10b3o$5bo2b3o$
6b3o2bo$4b3o$b2o$o2bo$obobo$2b2o!
A related rule that has a 2c/27o with minpop 3:

Code: Select all

#C From left to right: c/3d, c/4d, c/5d, adjustable knightship, c/3, c/4, c/5, c/6, c/7, 2c/7, c/8, 2c/27
x = 397, y = 109, rule = B2cin3aej4qrtwy5er6aek/S01e2-ai3cejnr4-ay5jqr6i7c
2bo49bo49bo3bo63bobo49bo17bo5bo12bo7bo13bo16bobo18bo7bo15bo52bo$b2obob
obo42b2obob2o2bo40b3obobo111bob3obo72b3o40b2ob2o$2o5b2obobo37b2obobo2b
3obo37b2ob2ob3o109bobobobobo13bo2bo2bo12bo2bobo2bo12bobo13b2obob2o16bo
7bo13bo3bo50bo$8b7o37bo2bo3bobob2o36b2o2bo4bobo59b3o43bo2bobo2bo11b2o
2bobo2b2o9b2o3bo3b2o11b3o11b2o3bo3b2o12b2obo5bob2o$bo6bo2b2o2bo35bo3bo
bo2bobo2bo36bo2b3o65b2o47bo17b2o3b2o10bobobobobobobo9bobobo11bo2b3o2bo
13bo3bo3bo3bo10bobobobo48bo$5b2o7bo37b4o2bobo2bo37bob3obo5b2o59bo43bob
obobobo15b3o12b2o2b5o2b2o9bo3bo11bo3bo3bo19bo18bobo$bo3bo4bo40bo8bo2bo
b2o33bobobo3b2ob2obo59b2o42bo7bo11bo3bobo3bo9bob2obob2obo25bo2bobobo2b
o15bobobobo14bobobo$2bo6bo41bo2bo2b3o2bo2bo35b2ob2o3bo4bo60bo43bo5bo
12bobo2bo2bobo9bo4bo4bo12bo14bo2bo2bo17bobobobo14b2ob2o$b4o3bob4o38bo
2bobob3o4b2o34bo3bo7b2obo57b2o45bo16bo3bo3bo10bo9bo9bo2bo2bo13b3o18b3o
3b3o12bobobobo$3bo3bob3o4bobo33b2o3b4obo3bob2o36b2o2bo5bob2o54bobo45bo
18b2ob2o12b2o7b2o9bo5bo14bo19b2o5b2o14bobo$2b2o2bob2o5b4o32b2ob3ob3obo
6bo33bo5b2obobo2bobo56b2o42b5o13bo2bo3bo2bo47bo5bo16b3o3b3o14bobo$3b2o
3b2o9b2o32bo4bo3b2o2bo39bo5bobo4bo57bo40b2obobob2o11bo2bo3bo2bo71b2obo
b2o$2b3o3bo8bobo2bo29bobo2bob3obo39bo2bo3b4ob4obo56b2o38bob3ob3obo10bo
4bo4bo46bo2bobo2bo17b2ob2o15b5o$3bo4bo6bo2bo3bobo28bob2o4b2ob3o38bo6bo
4b3ob3o54bo38bob3ob3obo9b4o5b4o45b3o3b3o15bo7bo12bo5bo$3bobo8b2o3bo2bo
30bo9bob2o38b4ob2o3b3ob2o2b2o53b2o40b2ob2o14bo7bo50bobo17bo2bobobo2bo
12bo3bo$4bo5bo2b2o39bob2o5b3obobo38bo3bob2o4bo4bo53bo37bo4bo4bo66bo3bo
bo3bo14b4ob4o13bo3bo$9b2o6bo2bo3bo31bob2obob2obo3bobo36bo2bobo3bo3b2o
55b2o36bo9bo71bo41bobobo$10bobo3b2o2b2o36bo6bo4b3o35bobob3o2bobo6bo53b
o115b3ob3o17bobobobo14b2ob2o$9b2o2bo9bo2bo32bo10bob3o34bo2b2o2bo7bobo
53b2o35bobobobobobo68bob3obo16b4ob4o$11b2obo7bobo2bo31b2o4bo4b2o2b4obo
29b3ob2o2bo2b3o3bo54bo35bo9bo68bo5bo16bob2ob2obo11bo7bo$11bo4b2o4bo2b
3o38b4o2b3o3b2o32bob2o3bobobo2bo54bo2bo113bobo18bo7bo12b2obob2o$17bo7b
o41bobobo3bobo2bobo30bo5b3o2b2obo52bo2bobo31b4o3b4o90bobo5bobo12bobobo
$12b3o4b2ob2ob2o2bob2o33b3obobo2bob6o30bo2bo2bo2bo2bobobo52bob2o113bo
19bo7bo13b2ob2o$18bo3bo6bo38bobo2bob3obo2bo30b2obo3bo2b3obo54bo115bobo
42bo$13bo2bo2bo4bo4b4obo33b3o3b2o3b2o33bo3bo2bobo2bo56b2o112b2ob2o19b
2ob2o$20b3o7bobo2bo33bob5o4bo2bo31bo5b3o2bo2bo167bo3bo17bo2bobo2bo15bo
$18bobobo5bo7bo32bo3bo2bo40b4o3b2o3bo166bo5bo16bobobobobo14bobo$19b2o
6b2o40bob3o3bo2bob2obo35b3o4bo168bo3bo17b2o2bo2b2o15bo$26b2o2bobo37bob
o5bo2b4o42b5o167bo20bob3obo15b3o$22b3o4b3ob2o34b2ob3o4bo2bo2bo36bo2b2o
bo3b2o184b2obo3bob2o13b3o$24b2o2b2obo3bo35b2ob2obo2b2o2bo2bo40bobo3b3o
161bobo18bobo3bobo12bobobobo$22bobo4b5o38bo5bobo47bo3bob2o183bo3bo3bo
14bobo$22bob2o2bo2bo39b3o3b3o7bo41bobo2b2o161bo3bo18bob3obo15bobo$29bo
bo43bob2o8bobo39bo3b2o186bobobo$24bo4bo48bobo7bo41b4ob3o159bobobo21bo
19bo$25bo4bo46bobo50b3ob2ob2o158bobobo18bo5bo16bo$26bo103bo3bo2b2o160b
o21b5o15b5o$80bob2o50b3o162bo41b5o$84bo50b2o162bo20bo5bo13b2obob2o$83b
o215bo20bo2bo2bo$298b3o19bo2bo2bo14b5o$297b2ob2o18b7o$297b2ob2o17b2o5b
2o$299bo18bobo2bo2bobo13bobo$295b9o16bobobobo$296bo5bo16bobo3bobo$296b
obobobo39bobo$297b2ob2o21bo18bobo$295bo2bobo2bo18b3o18bo$295bo7bo39bo$
297b2ob2o19b2ob2o17bo$320bobobobo15bobo$320bo5bo15b3o$298bobo18b3obob
3o$298bobo18bo7bo$295bo2b3o2bo16bobobobo15bobo$294b2o2bobo2b2o37bobo$
296bo5bo19bobo18bo$299bo42bobo$298bobo41bobo2$299bo22bobo$298b3o$299bo
22bobo17bobo$321b2ob2o16bobo$299bo21bo3bo16bobo$322b3o17b3o$297bobobo
21bo16b2o3b2o$296bobobobo20bo16bo5bo$296bobobobo19bobo15b3ob3o$295bo2b
obo2bo18bobo$294b2o2bobo2b2o15b2o3b2o13bo2bo2bo$296b7o19bobo14bo3bo3bo
$296bo5bo18bobobo$321bobobo15bo3bo$320bo5bo13bob3obo$321b5o14bobobobo$
323bo17b2ob2o$321bobobo$320b3ob3o$321b2ob2o17bo$323bo$319b3obob3o15bo$
341bo3bo$319bo7bo12bo2bo2bo$321b5o14b2obob2o$319bo7bo13bobobo$322bobo
15bo5bo$321b2ob2o14bo2bo2bo$321bo3bo13b2ob3ob2o$321bobobo14b2o3b2o$
321b5o17bo$323bo16bo2bo2bo$323bo18bobo$322bobo18bo$321b2ob2o17bo$322bo
bo$322bobo17bobo$323bo18bobo$321bobobo14bobobobo$321bo3bo14bobobobo$
321b5o14bobobobo$321bobobo14b7o$322b3o$321b2ob2o$321bobobo$320bob3obo$
319bobo3bobo$319b4ob4o!
EDIT: C/6d:

Code: Select all

x = 40, y = 40, rule = B2cin3aej4qrtwy5er6aek/S01e2-ai3cejnr4-ay5jqr6i7c
3bo$3bo2$2o2b5o$3bo2bob3o$3bo5bo$3b2o4bo$3bo4b4o2bo$3b2o2bo3b2o4bo$4b
4o6bo2bo$4bo2bo2bob3obo$7b2o3b2obo$8bob2obo3bo$10b3obobobo4bo$7bob2o2b
3o3b3o$11bo2b5obo2b2o$10bo2bobo$8b2o2bo2bo4bobo$13bobo9bo$14bo4bo3b4ob
2o$14b2obo3bobo5bo$14bo5bo7bobo$17bo4b6ob3o$13bobo3b2obo2bo3bo2b2o$15b
o3bo2bo5b2o3bo$18b2o2b2o6bo$19bo2bo8b2o3bo$22bo6bo5bobo$19bobo2bo10bo
2bo$19b2ob3o2bob2obo3b2obo$21b2o2bo3b2o2b5o$22bo3bo$23bo2bo2bo$23b2o5b
o$30bo$27b2obo$26bo2b2o$27bob2o$28bo$29bo!
Last edited by FWKnightship on September 2nd, 2026, 2:42 am, edited 1 time in total.
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.
CasperWen8805181
Posts: 235
Joined: November 5th, 2023, 10:57 pm
Location: La La Land

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 »

Code: Select all

x = 34, y = 21, rule = 24567/345678/6
8.DCE$7.C4A$4.DE.4AD$4.ECB4A9.ACDA2CE.E2.E.E$4.AB2C4AB.C.ABDE4AE2BD2.
D2A$4.2A3CA.2AD.CD5AB2A.3A.DAE$ABD.3AB8ABEA2.7AD.E$B5A2EADAE5AEA.2A2D
A2CAE.E$3A2.5AC.3AD10ABABC$.EA2.3AC2AE3ADA2C3A2EB3DAC$3.ECD12ACA.A2ED
3CD$4.E.ABADA2B2AED5A4EA.E$6.8A4EAB2A2D2ABD$5.3AC5AE2DCAB2AEB2ACED$5.
4ACE.B2AC2.AB2A.2AB$5.C2AD3.C.2BE.AB2A$5.BCE2.ED3.2A.3A$16.E3AE$16.2A
BA$16.DB2AB$16.CDCBA!
Agar lookin ship I found, is there any way to stabilize this?
My Rules:
Hash2F (R3,C2,S4,B5-6,N#)
Growth & Isolation (123/2cn345678/8|236/345678/8)
*unnamed rule* (2-a45678/35aei678/3|4568/2-ce35aei678/3)
*unnamed rule* (/2-e3ae/3)
I'm back after a 3 year break!
User avatar
Resu
Posts: 801
Joined: May 23rd, 2025, 10:47 am
Location: UTC+14:00
Contact:

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Resu »

CasperWen8805181 wrote: September 2nd, 2026, 1:25 am

Code: Select all

x = 34, y = 21, rule = 24567/345678/6
8.DCE$7.C4A$4.DE.4AD$4.ECB4A9.ACDA2CE.E2.E.E$4.AB2C4AB.C.ABDE4AE2BD2.
D2A$4.2A3CA.2AD.CD5AB2A.3A.DAE$ABD.3AB8ABEA2.7AD.E$B5A2EADAE5AEA.2A2D
A2CAE.E$3A2.5AC.3AD10ABABC$.EA2.3AC2AE3ADA2C3A2EB3DAC$3.ECD12ACA.A2ED
3CD$4.E.ABADA2B2AED5A4EA.E$6.8A4EAB2A2D2ABD$5.3AC5AE2DCAB2AEB2ACED$5.
4ACE.B2AC2.AB2A.2AB$5.C2AD3.C.2BE.AB2A$5.BCE2.ED3.2A.3A$16.E3AE$16.2A
BA$16.DB2AB$16.CDCBA!
Agar lookin ship I found, is there any way to stabilize this?
Backrake:

Code: Select all

x = 57, y = 48, rule = 24567/345678/6
24.2A$22.EC2AB6.A11.ECA$6.A4.D.2ACED4.DB3A4.5A.ABAC2.EB4AECAECA$5.E2A
EABAB3ABE2.DC2.2AECDE.10AEBC12A$.ABC7AC5A3.B2A.8A3C5AE3ADA.ABAD5A$.5A
.AC7A3.2AB6A3B3ABCAE8A.AB3A.AB2A$ADA2B5A.3A.E4.3A2D10ACAE3AC9AE.AB2A$
C2A2B2A.D5ACD4.C3A2C4A.12A2EABCD.ABC3A$B5ADC.ABC2A.E4.DABAE.6ADACAB2A
.2AB10.DBA$E6A5.D2AD.2AC.ABA3.12A2.A$.3ACE7.E12AB2A2.5A$CB2DB8.2AB6AE
2ADC6AEDE$EBD2AC6.EA2B5A2EA.AEAD2AD2.D$CB4A5.C2AB2A2ED10AC$BC.BA5.D3A
BA3.AEADACAB2AB$9.B2AE4AE11A$.ECE5.5A2D3A2B6A$E.BD5.2A2C11A$ECD5.E2A2C
AB3A.2A$.E5.D12AE$7.5A.AEAD2AD$7.11AC$7.EADA3C3AB$7.2ADA3C3A$7.2ADA3C
3A$7.EADA3C3AB$7.11AC$7.5A.AEAD2AD$.E5.D12AE$ECD5.E2A2CAB3A.2A$E.BD5.
2A2C11A$.ECE5.5A2D3A2B6A$9.B2AE4AE11A$BC.BA5.D3ABA3.AEADACAB2AB$CB4A5.
C2AB2A2ED10AC$EBD2AC6.EA2B5A2EA.AEAD2AD2.D$CB2DB8.2AB6AE2ADC6AEDE$.3A
CE7.E12AB2A2.5A$E6A5.D2AD.2AC.ABA3.12A2.A$B5ADC.ABC2A.E4.DABAE.6ADACA
B2A.2AB10.DBA$C2A2B2A.D5ACD4.C3A2C4A.12A2EABCD.ABC3A$ADA2B5A.3A.E4.3A
2D10ACAE3AC9AE.AB2A$.5A.AC7A3.2AB6A3B3ABCAE8A.AB3A.AB2A$.ABC7AC5A3.B2A
.8A3C5AE3ADA.ABAD5A$5.E2AEABAB3ABE2.DC2.2AECDE.10AEBC12A$6.A4.D.2ACED
4.DB3A4.5A.ABAC2.EB4AECAECA$22.EC2AB6.A11.ECA$24.2A!
Siderake:

Code: Select all

x = 114, y = 87, rule = 24567/345678/6
74.B2A$73.C4A.DE2.EDCD13.ECA$64.E.BADE3AB3ACA.2A2.DE.D4.DCE3.D5AECAEC
A$65.CDCB4AC2DBEB5A2.E4.C2ABADE2AB10A$55.DBA7.D2EA.2A4DBC3A.3AD.3A.7A
.ABADA.AB4A$54.C3A.BA3.EC2EDCECBCDAB2AE3A2D17AD5AD3A$53.B7A4.D2EB3.4A
3.CA2D3A4B3ACAE5AC5ACD3A$51.5AE3AB4.DCBD4.D2ACE.20ACDE.ABDE4A$50.ACAC
2AE2ADE4.3A6.EBC2D2AB4A.AEAD3ABAD11.DBA$50.B4AD4AE2.E.4ADE3.2A.E.2AB10A
C2AB$49.AC3AE4AC4.2A2BACBC2.2A.CD3A4B5ABA.A$47.BC.A2CB2.B2AD4.2A2B2AD
.7A.E7A.2A$47.C4ABC3.AB5.2AB3A2.10A.2A$47.E4AD11.E4A3.A.10AE$48.3AE12.
E.3A3.B3A.AEAD2AD$46.5AC10.E2.D16AC$32.ECE11.CAD2AE8.BD3.8A2DACAB2AB$
31.BCDE11.5AD7.DBCDEDC4AC10A$31.BD14.CABACEA4.5AC.AEADACAB6A$29.E17.E
BAB.B2ACBDC4AB12A$45.2CE2.EC6A3EADACAB3A.2A$44.D2B4.D.AEAD2AD12AE$43.
D.2AE3.C.AEAD7A.AEAD2AD$42.2CB3ACE2B18AC$17.B.E10.ADCA8.D.AE2AE2A2CAB
3A.AEADACAB2AB$4.E11.CACDCE2.DC4.5A6.DEAB24A$5.EDE6.4AB2.CDCB.E.4AC3A
4.D.2C8A.AEADACAB6A$5.E.DC5.4AE2.E.B6AB6AC2A2CDE.E2AE15A$4.DE2.AE4.2A
DAE2.D2AD3ACABAD3AD5A2.2A.AEADACAB3A.2A$5.2DC2AC3.C4A.2CBAD7ADAC8A.16A
E$4.ECE4AB2.B2AD3A2D5A.AE9A.4A2CAB3A.AEAD2AD$7.2AE2A.4ADAEA2DBCAB7A.7A
B15AC$5.7AE4AD3A2DBC3ACAB3A.AEADACAB3A.AEADACAB2AB$6.13AC4A2C31A$5.E4.
C4ACA.9A2.AEADACAB3A.AEADACAB6A$7.E2.D2AE5AB6AB2.23A$4.E.B2CAEA2BE7AD
ACA2CB2A3.3A2DACAB3A.2A$5.DA2DBA.2D2CDEBC3AE.2DE.2ADE15AE$5.EC2AC9.DA
B2A5.AE.2ABAB3A.AEAD2AD$6.4A9.4AE8.2CE.A.8AC$7.2A6.AD.DBADAC11.EDBA3C
3AB$15.3AE.CD2ADEA7.CB.A2C5A$13.EC2A3.BD5AB5.B4A2CADA$14.D2ADE.AD6AD3.
BDA2B4A$13.C.E2AD2C3A.CE2A.A.3A5B5A$12.BCD8AE.D2E19A$13.C8A2.EDC5AB3A
.AEADACAB2AB$13.6AE5.5A.17AC$5.A.CA3.DCBCABAE2.AB6A.AEADACAB3A.AEAD2A
D$5.5A.CBA.EDCDA2.B27AE$3.E6A.E2A4.AC2.5A2DACAB3A.AEADACAB3A.2A$2.D9A
E2ADB4A.2AC29A$.C2A.ACAE5AE2AC3A.2ACAB3A.AEADACAB3A.AEADACAB6A$11A2C46A
$C2AE3A3.5A.2A.2ACADAE3A2CAB3A.AEADACAB3A.AEADACAB2AB$3AE17ACADC2AE8A
.7AB15AC$AC2AEACAB3A.A.2AD3ACA2DA.3A.AE9A.4A2CAB3A.AEAD2AD$.A.AE5AE4.
2B3.C13ADAC8A.16AE$.5A.2A.C10.DA3B4ACABAD3AD5A2.2A.AEADACAB3A.2A$2.3A
2.ABD12.2A2B6AB6AC2A2CDE.E2AE15A$2.D3ABC14.2A2BA.E.4AC3A4.D.2C8A.AEAD
ACAB6A$3.4A.D13.E5A4.5A6.DEAB24A$2.DBAE2.E13.D3AB2A3.ADCA8.D.AE2AE2A2C
AB3A.AEADACAB2AB$2.CDC2.DCB12.D4AB16.2CB3ACE2B18AC$6.EBCB12.E3AC18.D.
2AE3.C.AEAD7A.AEAD2AD$6.DE14.4A.D18.D2B4.D.AEAD2AD12AE$23.ABAE20.2CE2.
EC6A3EADACAB3A.2A$31.E17.EBAB.B2ACBDC4AB12A$33.BD14.CABACEA4.5AC.AEAD
ACAB6A$33.BCDE11.5AD7.DBCDEDC4AC10A$34.ECE11.CAD2AE8.BD3.8A2DACAB2AB$
48.5AC10.E2.D16AC$50.3AE12.E.3A3.B3A.AEAD2AD$49.E4AD11.E4A3.A.10AE$49.
C4ABC3.AB5.2AB3A2.10A.2A$49.BC.A2CB2.B2AD4.2A2B2AD.7A.E7A.2A$51.AC3AE
4AC4.2A2BACBC2.2A.CD3A4B5ABA.A$52.B4AD4AE2.E.4ADE3.2A.E.2AB10AC2AB$52.
ACAC2AE2ADE4.3A6.EBC2D2AB4A.AEAD3ABAD11.DBA$53.5AE3AB4.DCBD4.D2ACE.20A
CDE.ABDE4A$55.B7A4.D2EB3.4A3.CA2D3A4B3ACAE5AC5ACD3A$56.C3A.BA3.EC2EDC
ECBCDAB2AE3A2D17AD5AD3A$57.DBA7.D2EA.2A4DBC3A.3AD.3A.7A.ABADA.AB4A$67.
CDCB4AC2DBEB5A2.E4.C2ABADE2AB10A$66.E.BADE3AB3ACA.2A2.DE.D4.DCE3.D5AE
CAECA$75.C4A.DE2.EDCD13.ECA$76.B2A!
Spaceship:

Code: Select all

x = 38, y = 23, rule = 24567/345678/6
5.2A$4.B2AC$3.C2ACAD18.DBA$2.B4ABAC8.ED4.EB4A.DB.DBA$.B2ADA.CD8.3ACBE
.2AC10A$C5A2.E9.8ACAE3AC5A$B5ACE6.ED.11AE5AE3A$D4ADAB4.DCAD3ADA.AB3AD
5ADE3A$2.5AB3.EB12ADE.ABCE.AB3A$2.C3A.2E2.C2AC3A3CAEA10.ECA$4.4A3.CE4A
C3AC$3.D2A.A3.2B2ABACABAB$4.4A3.CE4AC3AC$2.C3A.2E2.C2AC3A3CAEA10.ECA$
2.5AB3.EB12ADE.ABCE.AB3A$D4ADAB4.DCAD3ADA.AB3AD5ADE3A$B5ACE6.ED.11AE5A
E3A$C5A2.E9.8ACAE3AC5A$.B2ADA.CD8.3ACBE.2AC10A$2.B4ABAC8.ED4.EB4A.DB.
DBA$3.C2ACAD18.DBA$4.B2AC$5.2A!

Code: Select all

x = 31, y = 13, rule = C
8.2X2.3X.3X.X.X$8.X.X.X3.X3.X.X$8.X.X.3X.3X.X.X$8.2X2.X5.X.X.X$8.X.X.
3X.3X.3X$M2.M$4.M$M3.M$.4M$27.2M$27.M.M$29.M$29.2M! [[ AUTOSTART GPS 10 ]]
User avatar
J5L
Posts: 42
Joined: July 31st, 2026, 8:53 am
Location: Flower Garden

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by J5L »

A weird rule that has a c/22d boat pusher, a p22, a pentadecathlon-like p17, and a "stuck" p7, there is also a related p7 that is made of 2 c/8ds together.

Code: Select all

x = 76, y = 39, rule = B3-kq4j5k6/S2-i35ai6k
32bobo16b2o5bo$4b3o3b3o14b3o2bobo8bo6bobo4b3o$4bo5bo15b3obo2bo8bobo6b
o$4bobo4bo13b2o3bo10bo2bo8bo3b3o$5bo19b2ob2o12b2o8bobo$b3o21bo2bo6bo15b
o2bo$bo2bo21b2o6bobo15b2o$bobo29bo2b2o$24b2o8bo2bo$26bo4bo2bo2b2o$24b
2o4bob2o4b2o$29bo10bo$30b2o6b3o$31b3o5b2o$33b2obobo$34bob2o$35b3o5$68b
o4b3o$38b2o27bobo5bo$b2o3b2o15bo13b4o10b8o6bo2bo3bo2bo$3o3b3o13b3o11b
o3b2o9bob4obo6bo6bo$ob2ob2obo16bo11b4o10b8o6b3o4b3o$bobobobo11b2o3b2o
12b2o$b3ob3o12b5o$17bo3bobo$17b2o$18b2o$15bo2bo4bo$14b2o2b2o2bobo3bo$
15bob2o4bo3bobo$16b2o9bobo$28bo$24b2o$23bo2bo$24b2o!
Can anybody apgsearch this rule?
Speeds are:

Code: Select all

c/3d, c/4d, 5c/29d, c/8d, c/22d, c/2o
EDIT 1: Thanks for Resu for finding new patterns! Added a 5c/29d, c/3d, p24, p28.
EDIT 2: The +S4y variant supports some stuff from the original rule, reducing the 5c/29d, and makes the rule a bit active, in exchange for the p24, the p28, and the common traffic light still life:

Code: Select all

x = 75, y = 27, rule = B3-kq4j5k6/S2-i34y5ai6k
31bobo16b2o5bo$3b3o3b3o14b3o2bobo8bo6bobo4b3o$3bo5bo15b3obo2bo8bobo6b
o$3bobo4bo13b2o3bo10bo2bo8bo3b3o$4bo19b2ob2o12b2o8bobo$3o21bo2bo22bo2b
o$o2bo21b2o24b2o$obo$23b2o$25bo7b2ob2o$23b2o7b2o2b2o$32bo2$32b2o$32b2o
7$67bo4b3o$37b2o27bobo5bo$36b4o10b8o6bo2bo3bo2bo$35bo3b2o9bob4obo6bo6b
o$36b4o10b8o6b3o4b3o$37b2o!
Last edited by J5L on September 4th, 2026, 4:59 am, edited 3 times in total.
JayFiveEll.
Recovering from LWTDS.
User avatar
Resu
Posts: 801
Joined: May 23rd, 2025, 10:47 am
Location: UTC+14:00
Contact:

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Resu »

J5L wrote: September 2nd, 2026, 6:19 am A weird rule that has a c/22d boat pusher, a p22, a pentadecathlon-like p17, and a "stuck" p7, there is also a related p7 that is made of 2 c/8ds together.

Code: Select all

x = 40, y = 17, rule = B3-kq4j5k6/S2-i35ai6k
2b3o6bo8b2o5bo$2bo7bobo6bobo4b3o$3bo5bo2bo7bo$10b2o10bo3b3o$21bobo$20b
o2bo$21b2o5$32bo4b3o$2b2o27bobo5bo$b4o10b8o6bo2bo3bo2bo$o3b2o9bob4obo
6bo6bo$b4o10b8o6b3o4b3o$2b2o!
Small tagalong:

Code: Select all

x = 8, y = 3, rule = B3-kq4j5k6/S2-i35ai6k
2o4b2o$3ob2o$2o4b2o!
5c/29d

Code: Select all

x = 17, y = 17, rule = B3-kq4j5k6/S2-i35ai6k
3b3o$3b2obo$2bobob2o$2o5b3o$3o6b2o$o10bo$b2o4b2obo4b2o$2b2o2bo2bo4bo$
3bo2bo8b2o$3b2o2bo$4bobo6b2o$5bo6bo2bo$11b2ob2o$10bo3b2o$7bo2bob3o$6b
obo2b3o$6bobo!
Gun using 2 p22s:

Code: Select all

x = 27, y = 17, rule = B3-kq4j5k6/S2-i35ai6k
11bo7$10b3o$10b3o$2b3ob2o3bo$bobo4bo13b3o$o7bo2bo$bobo4bo9b2o2bo2b2o$
2b3ob2o9bobo5b2o$18b2o2bo2b2o2$22b3o!

Code: Select all

x = 15, y = 18, rule = B3-kq4j5k6/S2-i35ai6k
8bo$7b3o2bo$6bob2o3bo$5b2o5bobo$6bob2o3bo$7b3o2bo$8bo$2o$3obo3b3o$2o6b
3o$6bo5bo$6bo5bo$6bobobobo3$8b3o$8bobo$9bo!
Cool soup:

Code: Select all

x = 16, y = 16, rule = B3-kq4j5k6/S2-i35ai6k
bobooooooobobbbo$
oboooboboobobooo$
oobooooboobobobb$
obooobobboboboob$
obooboobobobbbbb$
obboobbbbboobbob$
bbboboobbbobboob$
oobbbbooobobobob$
bbboobobooobbooo$
obobobobobobobob$
bboobbbooooobbbo$
oobooobbbobooboo$
bbbbbbbbobobobbb$
oobobboooobobbob$
obbbobobbobooobb$
bbboobboobbboobb!
c/3d

Code: Select all

x = 6, y = 7, rule = B3-kq4j5k6/S2-i35ai6k
3bobo$2bo2bo$3b3o$bo$obo$2bo$3o!
Small c/2s:

Code: Select all

x = 10, y = 89, rule = B3-kq4j5k6/S2-i35ai6k
9bo$7b2o$7b2o$7b3o$9bo5$9bo$2b2o3bobo$2b3ob2o$2b2o3bobo$8bo6$9bo$7b2o
$7b2o$7b3o$9bo5$9bo$2b2o3bobo$2b3ob2o$2b2o3bobo$8bo5$7bobo$6bo2bo$5b2o
$5bo2$4bobo$3b2o$4bobo$5bo6$7b2o$3b2o3b2o$3b3o$3b2o3b2o$7b2o6$5bo2b2o
$4b2o2bo$5bo2b2o5$3bobo2b2o$2b2obo2bo$3bobo2b2o6$6b2o$2bobob4o$b2obo4b
o$2bobo5$8bo$6bobo$2o3b5o$3obo2bo$2o!
Gliders dragging loaf:

Code: Select all

x = 10, y = 10, rule = B3-kq4j5k6/S2-i35ai6k
b2o$obo$2bo2bo$4bobo$4bo2bo$5b2o2$7b3o$9bo$8bo!
P28:

Code: Select all

x = 16, y = 16, rule = B3-kq4j5k6/S2-i35ai6k
9bo$8b3o$11bo$5b2o3b2o$6b5o$3bo3bobo$3b2o$4b2o$bo2bo4bo$2o2b2o2bobo3b
o$bob2o4bo3bobo$2b2o9bobo$14bo$10b2o$9bo2bo$10b2o!
P24:

Code: Select all

x = 9, y = 5, rule = B3-kq4j5k6/S2-i35ai6k
b2o3b2o$3o3b3o$ob2ob2obo$bobobobo$b3ob3o!
Reflector:

Code: Select all

x = 9, y = 10, rule = B3-kq4j5k6/S2-i35ai6k
2o$2o6$6b3o$6bo$7bo!

Code: Select all

x = 31, y = 13, rule = C
8.2X2.3X.3X.X.X$8.X.X.X3.X3.X.X$8.X.X.3X.3X.X.X$8.2X2.X5.X.X.X$8.X.X.
3X.3X.3X$M2.M$4.M$M3.M$.4M$27.2M$27.M.M$29.M$29.2M! [[ AUTOSTART GPS 10 ]]
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FWKnightship
Posts: 1739
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Location: Hey,wait!! Where am I!? Help! Somebody help!I'm lost!!

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by FWKnightship »

B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8

This rule supports the small c/4d in B2ce/S1, and also has stable reflector and splitter of the c/4d:

Code: Select all

x = 38, y = 11, rule = B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8
5o2$bo28b2o$bo28b2o5$7bo29bo$6bo29bo$6bo29bo!
Two other common spaceships, c/3d and (3,2)c/12:

Code: Select all

x = 26, y = 8, rule = B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8
b2o22bo$o23bo$o2bo20bo$2b2o$23b2o$21bo$20bo$25bo!
A very common and sparky p14 oscillator, which is also gunnable:

Code: Select all

x = 27, y = 6, rule = B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8
16bo$2o13bobo5bo$17bo4bo$o16bo4bobo$bo12b2o$26bo!
This rule may have "mealworm" spaceships, though I haven't found any.

Code: Select all

x = 70, y = 3, rule = B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8
70o$5bo2b2o3b3o3b2o3bo7b3o2bob2obob2obo2bo3bo2b2obo$70o!
12c/42 (2c/7) puffer, 2c/15 wickstretcher, and p34 gun:

Code: Select all

x = 59, y = 24, rule = B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8
4bo15bobo$3bobo15bo$bo2bo2bo$2bo3bo12bobobo$o7bo10bobobo$ob5obo10bo3bo
$19bo3bo$4bo14bo3bo$19bo3bo$4bo14bo3bo$2bo3bo12bo3bo$19bo3bo22b2o$19bo
3bo22b2o$19bo3bo$19bo3bo$4bo14bo3bo$19bo3bo28b2o$4bo46b3o$52bo$4bo2$4b
o$57b2o$57b2o!
Spaceships:

Code: Select all

x = 846, y = 216, rule = B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8
6bobo58bo63bo60bo89bobo46b2o45bo41bobobobo39bobobo59bo40bo3bo41bobobo
59bobo44b2o39bo49bobo$7b2o57bo65b2o57bo90bobo43bobo42b2o2b2o41bob3obo
40b3o56bo3bo39bo5bo39bo5bo50bobo5bobo35b2o46bo3bo48bo$6b3o57bo62b2o2bo
57bo90bobo43b3o45b3o44bo102bo2b2o2bo35bo3bo3bo40bobo52bobo5bobo41b4o$
131bo150b3o42bob2o44b4o41b2o3b2o40b3o53bo2b2ob3o40bobo41b7o50bobo5bobo
36b4ob2o39bobobobo45bobobo$126bobob2o58b2o89bob2o42b2o2bobo41bo2bo43bo
bo100b3o3b2o140bobo5bobo38b2o43b2ob2o46bobobo$126bo5bo55bo92b2o44bo2b
2obo40b2o2bo40b4ob4o38b5o53b2o3bob2o38bo3bo43bo53bobo49b2o2bo36b3ob3o
45bo3bo$131bo2bo52bo93bo46bobo2bo40b2ob2o40bo2b3o2bo38bobobo53b2obo4bo
38bo3bo39b2obobob2o95bo2b2o4b2o36bo2bo2bo45bo3bo$135bo56bo135b3o43b2ob
o41b2obobob2o39bobo54bo5bobo38b5o43bo59b2o38b2o7b2o36bo5bo45bo3bo$135b
2o145b2o43b2ob3o43bo42bo3bo3bo37bo2bo2bo52bobo4b2o38b5o42bobo55b2ob3o
37b2o5bob2o36bo5bo45bo3bo$132bo2b2o190bobobobo85b2o2bo2b2o40bo55b2o4b
3o38b5o40bo5bo52b3o5bo35b2obo3bob2o36bo2bo2bo45b5o$131bo195bob3o42b3o
42b2o5b2o39bobo54b3o44b5o39b3o3b3o49bo5bo2b2o35b2obo3bob2o36b2obob2o
45b2ob2o$131bo2bobo190bobo4bo39bobo42b3obob3o38bobobo100bo3bo39bobo3bo
bo49b2o2bobob3o35b2obo5b2o36b2o3b2o46b3o$134bob3o188bo4bobo40bo44bobob
obo41bo102b5o39bo3bo3bo49b3obobo2b2o35b2o7b2o36b2obob2o$135b2obo188bob
o2bo87bob3obo144b5o39b2o2bo2b2o49b2o2bobo2b2o35b2o6bobo36bo5bo$136b2o
191b3ob2o38b2o45b2o3b2o144b5o39bo3bo3bo49b2o2bobobobo35bobo5b3o36bo2bo
2bo$136bob2o190bo90bo3bo145b5o39b2ob3ob2o49bobobobo3bo35b3o6b2o36bo5bo
$136b3o189bobo240bobobo39b2o2bo2b2o49bo3bobo3bo35b2o5bob2o36b7o$136b2o
3bo185bo3b2o89bobo146bo3bo39bobo3bobo49bo3bobo3bo35b2obo3bo2bo36b2obob
2o$138bobobo185b2o2bo90bo147b2ob2o39bobo3bobo49bo3bob2o2bo35bo2bo5b2o
36bo2bo2bo$141b2o185b2o92bobo147bobo40bobo3bobo49bo2b2ob2o2bo35b2o8bo
36bo2bo2bo$138bo3b2o184b2obo89bo3bo189bob2ob2obo49bo2b2ob2ob2o35bo6bob
2o36bo5bo$140bo2bo6b2o176b2ob2o86bo3bo3bo187bob5obo49b2ob2obo3bo35b2ob
o2b2o2bo36b2o3b2o$145bo183bob3o86bo5bo145b3o40bob2ob2obo49bo3bo4b2o35b
o2b2ob2o2bo36b7o$145bobo2bo181b2o88b3o147b3o40bobobobobo49b2o7b2o35bo
2b2obo2b2o36b7o$572bobo40bob5obo49b2o4bob3o35b2o2bobobobo36b3ob3o$147b
o184bo239b3o40bobo3bobo49b3obobo3bo35bobobob2ob2o36bo2bo2bo$146bo183b
2obobo236bobo40bobo3bobo49bo3bo4b2o35b2ob2ob2ob2o36bo5bo$187bo2bo5bo2b
o2bo11bo2bo2bo5bo2bo104bo280bob5obo49b2o7b2o35b2ob2ob2ob2o36bob3obo$6b
o2bo2bo53bo2bo2bo499b3o40bob2ob2obo49b2o4b2ob2o35b2ob2ob2o2bo36b3ob3o$
615bo2b3o2bo49b2ob2obo2bo36bo2b2o5bo36bo5bo$187bo14bo17bo8bo385bo7bo
50bo2bo3b2o36bo7bobo36bob3obo$6bo59bo503b2obob2o38bo7bo50b2o4b3o36bobo
3b2o2bo36b2o3b2o45bo2bo2bo$465bo2bo2bo97b2o5b2o40bobo53b3o3b3o36bo2b2o
5bo36bob3obo$187bo8bo2bo2bo11bo2bo2bo8bo5bo2bo2bo327b2o5b2o38bo5bo51b
3o3bobo36bo5bo2b2o36bobobobo$6bo2bo2bo20bo32bo2bo2bo20bo187bo2bo2bo
281b2ob3ob2o38bo5bo51bobo3bobo36b2o2bobo3bo36b3ob3o45bo5bo$471bo97bo2b
obo2bo38b2obob2o51bobo3bobo36bo3bobob3o36b2obob2o$187bo14bo5bo5bo14bo
5bo287bo2bo2bo39b3o3b3o38bobobobo51bobo3bobo36b3obob3obo36bo5bo$33bo
59bo187bo287bo3bo3bo38b2o3b2o51bobo3bo38bob3ob5o36bo5bo45bo2bo2bo5bo2b
o2bo$465bo2bo2bo5bo2bo2bo85b3obob3o98bo3bo38b5obobobo38bobo$187bo2bo5b
o2bo2bo5bo5bo2bo2bo5bo2bo5bo2bo2bo281bo45bob2ob2obo98bo3b2obo35bobobo
43bobobo$o2bo2bo2bo2bo2bo2bo2bo5bo2bo2bo26bo2bo2bo2bo2bo2bo2bo2bo5bo2b
o2bo187bo2bo2bo85bo2bo2bo189bo7bo95bob2o3b2obo84bobo47bo5bo5bo$465bo
11bo91b2o5b2o95bob2o3b2obo43bo41bo$523bo2bo2bo39bobo3bobo95bob2o3bo2bo
37bo4b2o39b2ob2o$27bo5bo53bo5bo279bo195b2obobob2o95bo2bo3bo2bo37b2o2b
3o39b5o46bo2bo2bo5bo2bo2bo$465bo2bo2bo5bo2bo2bo85bo2b3o2bo95bo2bo4bobo
37b3ob3o38b2o3b2o$181bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2b
o2bo2bo2bo2bo2bo2bo2bo318bo3bo3bo95bobo3bo3bo37b3ob2o39b2o3b2o$6bo2bo
2bo14bo2bo2bo32bo5bo14bo2bo2bo181bo2bo2bo2bo2bo2bo2bo2bo76bo2bo2bo189b
o7bo95bo3bo3bobo38b2ob2obo37b2o3b2o$569bo7bo95bobo5bobo36bob2ob2obo37b
obobobo$517bo2bo2bo2bo2bo2bo2bo2bo30bo3bo3bo95bobo4b2obo36bob2obo2bo
37bo5bo$12bo53bo5bo346bo2bo2bo143bobo3bobo95bob2o3b2obo36bo2bob4o37b2o
bob2o39bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo$459bo2bo2bo2bo2bo2bo2bo2bo
2bo2bo2bo2bo76bobo3bobo95bob2o3b2obo36b4o3b2o37bo5bo$208bo5bo2bo2bo
348b2o2bo2b2o95bob2o2b3obo36b2o3bo2bo37bo2bo2bo$6bo2bo2bo53bo2bo2bo53b
o2bo2bo148bo2bo2bo79bo2bo2bo2bo2bo2bo2bo2bo30bo149b3obob3o95bob3o2bo2b
o36bo2bobo40bo5bo$327bo2bo2bo235bo3bo3bo95bo2bo6bo39bobo40bo2bo2bo$
208bo11bo302bo2bo2bo39b2ob3ob2o95bo5b2o2bo39bo3b2o37bob3obo$12bo59bo
53bo160bo131bo2bo2bo143b2ob3ob2o95bo2b2obo2b2o36b2o4b3o39bobo47bo2bo2b
o5bo2bo2bo$327bo143bo2bo2bo91bo7bo95b2o2bobob3o36b3o4b2o39bobo$208bo5b
o2bo2bo302bo45b2o5b2o37bo2bo2bo51b3obo5bo36b2o6bo$6bo2bo2bo59bo53bo2bo
2bo20bo127bo2bo2bo85bo5bo189b2o5b2o95bo46bo7bo39b3o47bo11bo5bo$327bo2b
o2bo137bo97b2o5b2o142bo7bo$208bo5bo308bo2bo2bo91bo98bo5bobo$153bo127bo
91bo5bo33bo2bo2bo2bo2bo2bo2bo2bo285bobo2b2obo40bo48bo2bo2bo5bo5bo$471b
o2bo2bo242bob2ob2o42bo$208bo5bo2bo2bo302bo5bo85bo2bo2bo5bo2bo2bo88b2ob
obo40b3o$120bo2bo2bo2bo2bo2bo2bo2bo5bo2bo2bo127bo2bo2bo85bo2bo2bo341bo
bob5o88bo5bo5bo5bo$321bo2bo2bo2bo2bo2bo2bo2bo134bo241b5obo2b2o$523bo2b
o2bo85bo11bo91b2o2bobo42bobo$147bo5bo225bo39bo2bo2bo297bob2o39bobobobo
45bo2bo2bo5bo2bo2bo$471bo2bo2bo244b2obo39b2o5b2o$615bo2bo2bo5bo2bo2bo
89bob2o38b3o3b3o$126bo2bo2bo14bo2bo2bo225bo39bo302b2obo2b2o38bobo$327b
o2bo2bo385b2o2bob2o40b5o$722b2ob2o$126bo292bo2bo2bo296b2ob2obo40bo$
333bo386bob2obo42b3o$609bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo2bo80bob2o42bo
$126bo2bo2bo292bo296b2obo42bobo$327bo2bo2bo389bo41bobobobobo$765bobo3b
obo$132bo286bo2bo2bo339b3obob3o$333bo431b2ob3ob2o$621bo2bo2bo137bobo3b
obo$126bo2bo2bo632b2o5b2o$327bo2bo2bo431bobo3bobo$627bo45bo2bo2bo85bo
7bo$569bo2bo2bo189bo7bo$765bo7bo$627bo45bo91bo3bo3bo$569bo195bo2bobo2b
o$765bobobobobo$627bo45bo2bo2bo85bob5obo$569bo2bo2bo189bo7bo$765bo2bob
o2bo$627bo137bo2bobo2bo$765bo2b3o2bo$765bo2bobo2bo$667bo2bo2bo2bo2bo2b
o2bo2bo76b2ob3ob2o$563bo2bo2bo2bo2bo2bo2bo2bo180bo2bobo2bo$765b2obobob
2o$765bobo3bobo$765bob5obo$765b2ob3ob2o$673bo2bo2bo85b2o2bo2b2o$569bo
2bo2bo143bo2bo2bo39b2obobob2o$765b2o2bo2b2o$673bo5bo85bobo3bobo$575bo
143bo45b4ob4o$765b2ob3ob2o$673bo2bo2bo85b2obobob2o$575bo143bo2bo2bo39b
obo3bobo$765bo7bo$673bo5bo85b2o5b2o$575bo189bo7bo$765b3o3b3o$673bo2bo
2bo85b2o5b2o$575bo137bo2bo2bo2bo2bo2bo2bo2bo30b2ob3ob2o$765bo2b3o2bo$
765bo2bobo2bo$765bo7bo$765bobo3bobo$765b2o5b2o$719bo2bo2bo39b2ob3ob2o$
765bo2bobo2bo$765b2o2bo2b2o$719bo5bo39b2o5b2o$765bo3bo3bo$765bobobobob
o$719bo2bo2bo39bo2b3o2bo$765b2o5b2o$765b2o2bo2b2o$725bo39bo2bobo2bo$
765bo2bobo2bo$765bo2bobo2bo$719bo2bo2bo39bobobobobo$765bob5obo$765bob
2ob2obo$765bobo3bobo$765bo2b3o2bo$765bobo3bobo$765b2o5b2o$765bobo3bobo
$765b2o5b2o$765b2ob3ob2o$765b2o5b2o$765b2ob3ob2o$765b2obobob2o$765b2o
5b2o$765bo7bo$765b3o3b3o$765b2obobob2o$765b2o5b2o$765bo3bo3bo$765b2o5b
2o$765b3o3b3o$765bobo3bobo$765b3o3b3o$765b3o3b3o$765bobo3bobo2$766bo5b
o26$768bo2bo2bo3$768bo3$768bo2bo2bo6$759bo2bo2bo2bo2bo2bo2bo2bo2bo2bo
6$765bo5bo2bo2bo3$765bo5bo5bo3$765bo5bo5bo3$765bo5bo5bo3$765bo5bo2bo2b
o!
Oscillators:

Code: Select all

x = 398, y = 783, rule = B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8
12bo2bo2bo$340bo9bo$338bo2bo7bo2bo$18bo288bo2bo2bo5bo2bo2bo17b5o$95b5o
237bo2bo9bo2bo$30bo37b3o11bo15b2o10b7o221bo5b3o5bo$12bo2bo2bo23b2o11b
2o12b2o11b3o12bobo10b2obob2o196bo5bo5bo$30bo12b2o10b3o11bo11b3o15bo13b
o225bo11bo$99bo239bobo7bobo$12bo294bo2bo2bo5bo2bo2bo13bobo7bobo$339bob
o7bobo$339bo11bo$12bo2bo2bo288bo17bo$338bo5b3o5bo$337bo2bo9bo2bo$307bo
2bo2bo5bo2bo2bo17b5o$338bo2bo7bo2bo$340bo9bo16$12bo2bo2bo3$18bo78b7o$
43b4o11bo6bo31b2o3b2o$29b4o10bo2b2o10bo2b2o2bo10bo9bo10bobobobo$12bo2b
o2bo13bo10b2ob2o10bo6bo10bo9bo10bo5bo203bo2bo2bo5bo2bo2bo$31b2o10bo2b
2o10bo2b2o2bo10b2obo3bob2o10bobobobo$31b2o10b4o11bo6bo11b9o11b2o3b2o
237bo$18bo78b7o209bo11bo16bo$341bo$339bo3bo$12bo2bo2bo288bo2bo2bo5bo2b
o2bo17b2o$339b2obo3bo$345bobo$313bo11bo16bo$342bobo$337b2o$307bo2bo2bo
5bo2bo2bo11b2o15$12bo5bo2$104bo$12bo5bo63b8o13bobo$30bobo71bo$32b2o13b
obobobo12b5o12bob2obo12bo5bo$12bo2bo2bo11b5o30b2obob2o11bo4bo11bobo3bo
bo$31b2o14bobobobo11b2obob2o11bob2obo12bo5bo$32bobo31b5o33bo$18bo63b8o
13bobo275b2o3b2o$104bo2$18bo365bo$343bo37bo5bo$342bobo36bo2bo2bo$343bo
$307bo2bo2bo5bo5bo26b2o$339bo12b2o30bo$338bobo43bo$313bo5bo5bo13bo8bo
22bo3b2o7bo7b2o3bo$345b2obo22bo25bo$345b5o$307bo2bo2bo5bo2bo2bo20b4o
24bobo2b3o5b3o2bobo$344b5o$346b2o23bo25bo$313bo11bo29bo15bo3b2o7bo7b2o
3bo$354bobo27bo$341b2o12bo28bo$307bo2bo2bo11bo15b2o$351bo$350bobo28bo
2bo2bo$351bo29bo5bo$384bo$150b3o11b3o$150b2o13b2o$12bo2bo2bo131bob2o9b
2obo214b2o3b2o$152b2o9b2o$155bo2bo2bo$12bo60b2o18bo15b7o13b2o5b2o16bo
2bobo2bo$92bobo13b2o2bo2b2o11bo9bo17b5o$31bo4bo14bo4bo13bo6bo11bo7bo
14bo17bo5bo18b2o3b2o$12bo2bo2bo11bo6bo12bo6bo15b2o14b2o5b2o11bo5bo14bo
b3obo17bobobobobo$30bob4obo12bob4obo12bo6bo11b2o5b2o11bo5bo14bob3obo
18b2o3b2o$89bo7bo14bo17bo5bo19b5o$18bo34b2o18b2o17bobo13b2o2bo2b2o11bo
9bo15bo2bobo2bo$93bo15b7o13b2o5b2o17bo2bo2bo$152b2o9b2o$12bo2bo2bo131b
ob2o9b2obo$150b2o13b2o$150b3o11b3o9$307bo2bo2bo5bo2bo2bo3$313bo5bo22bo
$336bo5bo5bo$336b2o3b3o3b2o$307bo2bo2bo5bo2bo2bo10b2o4bo4b2o$336b2o3bo
bo3b2o$336bo11bo$313bo5bo5bo3$12bo2bo2bo288bo2bo2bo5bo2bo2bo3$12bo2$
47bo12b2o14b3o13b4o16b5o16b11o$12bo2bo2bo10bobobobo10bo28b2obo12b2o2b
2o14b2o3b2o$49bo12b2o11b2obo13b4o16b5o16b11o$48bo14b2o11b3o$12bo5bo3$
12bo2bo2bo9$307bo5bo5bo5bo3$307bo5bo5bo5bo$337b10o$343bo$307bo2bo2bo5b
o2bo2bo10b2o4bobob2o$343bo$337b10o$313bo11bo3$313bo11bo2$255bobo$255bo
bo$222bo9bo$12bo2bo2bo202bo3bo3bo3bo$220bobo2bo3bo2bobo21bo$126b7o39b
5o79bo$18bo70bo3bo12b7o142bobo$30b5o54bo3bo12bob3ob2o10bo4b2o12bo15bo
10bo7bo42b2o9b2o$29b2o3b2o29bo9bo13b5o12bo6bo10bo18bo2b11o2bo10bo2bobo
2bo11bo17bo38b2o4bo5bo4b2o$18bo10bo2bo2bo13bob2o11bobo2b3o2bobo13bobo
13bo5b2o10bo18bob2o9b2obo10bo3bo3bo10bobo2b11o2bobo41b2o7b2o$29b2o3b2o
10b2o2bobo12bo2b2ob2o2bo15bo14bo6bo10bobo2bobo11bo2b11o2bo10bo2bobo2bo
11bo2b2obobobobob2o2bo38b2o4bo5bo4b2o$30b5o16b2o16b3o15b3o3b3o10bob3ob
2o10bobo3bo12bo15bo10bo7bo15b11o16b2o9b2o$18bo28b6o53b7o11bo4bo125bobo
$124bo47b5o79bo$220bobo2bo3bo2bobo21bo$18bo202bo3bo3bo3bo$222bo9bo$
255bobo$255bobo$307bo2bo2bo11bo3$307bo17bo$337b19o$343bo5bo$307bo2bo2b
o11bo10b2o4bobo3bobo4b2o$343bo5bo$337b19o$313bo11bo3$307bo2bo2bo11bo
10$12bo2bo2bo3$12bo5bo65b2o$63b9o12b2o$29b6o15b2o12b2o3b2o14bo16bo13bo
$12bo2bo2bo10bo4bo14b2o12b2obobob2o29bobo2b7o2bobo$29b2o2b2o11b2o16b3o
b3o31bo2b2o5b2o2bo$30b4o11b3o17b5o13bobo2b3o15b7o$12bo5bo64bo5b2o$83b
3o$345bo$12bo2bo2bo$345bo$307bo2bo2bo5bo2bo2bo$345bo2$307bo17bo19bo$
367b25o$345bo23b21o$307bo2bo2bo5bo2bo2bo39b3o23b3o$345bo19b3o23b3o$
369b21o$307bo5bo5bo25bo21b25o2$345bo$307bo2bo2bo5bo2bo2bo$345bo2$345bo
4$12bo2bo2bo3$12bo5bo$33bo14b2o9b2o40bo11bo14b11o$52b5o15b15o16b9o$12b
o2bo2bo10b2o2bo2b2o33b2obo9bob2o18bobo23b3o$29b2o5b2o14b5o14bo15bo15b
9o19b2ob2o$71bo15bo10b2o15b2o15b3o$18bo11b7o90b2o9b2o3$12bo2bo2bo5$
307bo2bo2bo5bo2bo2bo3$307bo17bo$337b27o$350bo$307bo2bo2bo11bo10b2o11bo
bo11b2o$350bo$337b27o$307bo5bo11bo3$307bo2bo2bo11bo4$6bo5bo2bo2bo$55bo
$103bo16b12o$6bo5bo5bo36bo47bo15b2obo6bob2o$30b8o12bo9bo12b14o11b2o7b
2o10bo12bo$34bo14b2o4bo4b2o10b2o3b2o2b2o3b2o13bobobo13bo12bo$6bo5bo5bo
10b2o2bobob2o10bo11bo10bo2bo2bo2bo2bo2bo11bo7bo11bo2bobo2bobo2bo$34bo
20bo16b2o3b2o2b2o3b2o11bo7bo11bo12bo$30b8o35b14o14bobobo13bo12bo$6bo5b
o5bo36bo42b2o7b2o10b2obo6bob2o$103bo16b12o$55bo47bo$6bo5bo2bo2bo21$6bo
11bo2$128b2o10b2o10b15o$6bo11bo109b2ob2o4b2ob2o10bobobo5bobobo$29b3o
16b9o12b16o43b2o10b2o10bo13bo$31b2ob3o15bo15b2o2bobo4bobo2b2o15b3o6b3o
15bo2bo6bo2bo10bo13bo$6bo11bo12bo2b3o10b2o2bobo2b2o10bo2bobobo2bobobo
2bo10b2o3b4o4b4o3b2o10b3obo4bob3o10bo13bo$31bo20bo15b2o2bobo4bobo2b2o
10b3obo3bo4bo3bob3o10bo2bo6bo2bo10bo13bo$31b2o15b9o12b16o21b2o20b2o10b
2o10bo13bo$6bo11bo12b2o95b2ob2o4b2ob2o10bo13bo$128b2o10b2o10bobobo5bob
obo$152b15o$6bo11bo21$6bo5bo2bo2bo3$6bo11bo34b5o13b9o$52b2obob2o12b2o
5b2o$31b7o14bo5bo13b7o$6bo5bo2bo2bo10bo5bob2o13bo5bo11bo9bo$31b7o14bo
5bo15b3o$52b2obob2o14b2ob2o$6bo5bo40b5o13b9o3$6bo5bo2bo2bo22$106b3o21b
11o$100b3o2b2ob2o2b3o$6bo5bo2bo2bo81b2obo2b3o2bob2o14b2o9b2o$100bo13bo
12bob2o9b2obo$101bo11bo13bo4bobobobo4bo$6bo11bo35b2o4b2o11b15o39bo3b2o
5b2o3bo$30b2o8b2o12b2o4b2o11b3o4bo4b3o12bo13bo12bo15bo$29b2o4b2o4b2o
11b2o4b2o17bobo17b3o11b3o11bo3bo7bo3bo$6bo5bo2bo2bo35bo6bo12bo4bobo4bo
12bobo11bobo11bo15bo$54bo6bo12bo4bobo4bo12b3o11b3o11bo3bo7bo3bo$33bob
2obo40bobo18bo13bo12bo15bo$6bo11bo37b4o13b3o4bo4b3o39bo3b2o5b2o3bo$73b
15o13bo11bo13bo4bobobobo4bo$100bo13bo12bob2o9b2obo$6bo5bo2bo2bo81b2obo
2b3o2bob2o14b2o9b2o$100b3o2b2ob2o2b3o$106b3o21b11o22$73bo$6bo5bo5bo$
50bo22bo2$6bo5bo5bo31bo22bo$93bobobobobobo$30b2o18bo22bo$6bo5bo2bo2bo
74bobobobobobo$30bo19bo22bo$31bo61bobobobobobo$6bo11bo31bo22bo2$50bo
22bo$6bo11bo$73bo21$77b2o9b2o$77b2o9b2o$77bo11bo2$6bo5bo2bo2bo54b3o6b
3o6b3o$53bo5bo13b2o3bo9bo3b2o$30b9o17bo25b3o$6bo5bo40b2o3b2o$29b2o7b2o
16bo$32bobobo16bobobobo17bobo7bobo$6bo5bo2bo2bo11bo7bo11b2o4bo4b2o14bo
bo7bobo$30bo7bo11b2o4bo4b2o14bobo7bobo$32bobobo16bobobobo$6bo11bo10b2o
7b2o16bo$53b2o3b2o22b3o$30b9o17bo16b2o3bo9bo3b2o$6bo5bo2bo2bo34bo5bo
13b3o6b3o6b3o2$77bo11bo$77b2o9b2o$77b2o9b2o21$57b9o$57b3o3b3o3$6bo5bo
2bo2bo41b3o$59b2ob2o$51b2o7b3o7b2o$6bo5bo20bo2bo14b2o17b2o$32bo4bo13b
2o3bo9bo3b2o$51bo3b3o7b3o3bo$6bo5bo2bo2bo10b2obob2obob2o10bo3bobo7bobo
3bo$51bo3b3o7b3o3bo$32bo4bo13b2o3bo9bo3b2o$6bo5bo5bo14bo2bo14b2o17b2o$
51b2o7b3o7b2o$59b2ob2o$6bo5bo2bo2bo41b3o3$57b3o3b3o$57b9o21$92b2o$90bo
b2obo$90bob2obo$90bob2obo$60b2o28bob2obo$60b2o23b3o10b3o$6bo5bo2bo2bo
41bo24b3obo6bob3o$85b3o10b3o2$6bo11bo10b14o43bo12bo$81b4o16b4o$32b2ob
2ob2o13b3o4bobo$6bo11bo11bo10bo11b2o6bo6b2o10b5o16b5o$35b2o23bobo4b3o
10b5o16b5o$31bobob2obobo$6bo11bo14bo4bo42b4o16b4o$86bo12bo2$6bo11bo43b
o22b3o10b3o$61b2o22b3obo6bob3o$61b2o22b3o10b3o$90bob2obo$90bob2obo$90b
ob2obo$90bob2obo$92b2o21$76bo7bo$75bobo5bobo$76bo7bo3$6bo5bo2bo2bo59b
5o$70bo6b3ob3o6bo$55b4o10bobo6b5o6bobo$6bo5bo5bo30b3o4b2o12bo4bo9bo4bo
$31bobo15bo24b3o7b3o$29bo2bobo14bobo22b3o7b3o$6bo5bo2bo2bo12bobo40bobo
7bobo$30bobo2bo38b3o7b3o$31bobo40b3o7b3o$6bo5bo5bo29bo21bo4bo9bo4bo$
48b2o19bobo6b5o6bobo$48b2o20bo6b3ob3o6bo$6bo5bo2bo2bo29bo29b5o3$76bo7b
o$75bobo5bobo$76bo7bo21$31b13o2$o2bo2bo11bo10bo15bo$29bo6bobo6bo$29bo
7bo7bo$6bo11bo10bo6bobo6bo$29bo15bo$29bo2bobo5bobo2bo$o2bo2bo11bo10bo
3bo7bo3bo$29bo2bobo5bobo2bo$29bo15bo$o17bo10bo6bobo6bo$29bo7bo7bo$29bo
6bobo6bo$o2bo2bo11bo10bo15bo2$31b13o21$o2bo2bo5bo2bo2bo$31b9o2$6bo11bo
14b5o$32bo2bo2bo$34bobo$o2bo2bo5bo2bo2bo10b2o9b2o$29b2o9b2o$34bobo$o
11bo19bo2bo2bo$33b5o2$o2bo2bo5bo2bo2bo12b9o21$o2bo2bo5bo2bo2bo36b8o$
55b3o2b3o$29bo11bo$6bo11bo10bo2b7o2bo14bo4bo$29bo11bo10bo4bo2bo4bo$29b
o5bo5bo10bo5b2o5bo$o2bo2bo5bo2bo2bo10bob2obobob2obo10bo5b2o5bo$29bo5bo
5bo10bo5b2o5bo$29bo11bo10bo4bo2bo4bo$o17bo10bo2b7o2bo14bo4bo$29bo11bo$
55b3o2b3o$o2bo2bo5bo2bo2bo36b8o21$35bo9bo$35b2o7b2o$36bo7bo2$40bo$o2bo
2bo5bo5bo20bobo$29b2o8bobo8b2o$30b2o4b2o5b2o4b2o$6bo5bo5bo17b2o2bo2b2o
2$34b2o9b2o$o2bo2bo5bo2bo2bo14bo3bo5bo3bo$34b2o9b2o2$o17bo17b2o2bo2b2o
$30b2o4b2o5b2o4b2o$29b2o8bobo8b2o$o2bo2bo11bo20bobo$40bo2$36bo7bo$35b
2o7b2o$35bo9bo21$33b2o5b2o$o2bo2bo5bo2bo2bo14b2o5b2o$33b2o5b2o2$6bo11b
o$29b5obo3bob5o2$o2bo2bo11bo14bobo3bobo2$29b5obo3bob5o$o17bo2$33b2o5b
2o$o2bo2bo11bo14b2o5b2o$33b2o5b2o!
EDIT: It is not hard to build backrakes in this rule, you just need a suitable wickstretcher.

Code: Select all

x = 43, y = 97, rule = B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8
4bo26bobo2bobo$2ob3o24b2o2b2o2b2o$b3obo24bo8bo$2b2obo24bobo4bobo$bo3bo
22b2o2bo4bo2b2o$b2ob2o22b2ob2o4b2ob2o$b2ob2o22b2o2bo4bo2b2o$bo3bo21b2o
bobo4bobob2o$4bo22b2o12b2o$2bobo22b2obo8bob2o$4bo22b2ob2obo2bob2ob2o$
3b2o26bo2b2o2bo$3bo24b4o6b4o$3bobobo20b2obo6bob2o$3b3obo20b2obo6bob2o$
3bo3bo22b2o6b2o$3bo3bo21b2o8b2o$3b2o2bo23bobo2bobo$3bobobo23bobo2bobo$
3bobobo22b4o2b4o$3b3obo22bob2o2b2obo$3b3obo22bob2o2b2obo$3bobobo22b4o
2b4o$3bobobo22b2o6b2o$3b3obo22b2o2b2o2b2o$7bo$7bo25bo2bo$7bo$7bo25bo$
7bo24b3o$7bo24bobo$7bo24b3o$7bo24bobo$7bo24bobo$7bo$7bo23bo$7bo23b3obo
$7bo25bobo$7bo25bobo$7bo26b2o$7bo25bobo$7bo24b4o$7bo24b4o$6b2o24b4o$7b
o27bo$6b2o26b2o$7bo25b3o$7bo26b2o$7bo27bo$7bo25bo$7bo27bo$7bo27b2o$7bo
27b2o$7bo26bobo$7bo26bobo$7bo25b2obo$7bo28bo$7bo27b2o$7bo28bo$7bo26bob
o$7bo28bo$6b2o27b2o$7bo28bo$6b2o28bo$7bo28bo$7bo28bo$7bo28bo$7bo28bo$
7bo28bo$7bo28bo$7bo29bo$7bo27b2o$7bo$7bo$7bo$7bo$7bo$7bo$7bo$6b2o$7bo$
6b2o$7bo$7bo$7bo$7bo$7bo4$10bo$8b2o4$12bo$10bobo!
EDIT2: 3c/7:

Code: Select all

x = 15, y = 34, rule = B2ce3akq4aceiqw5n6acn7/S12cin3aejr4aceirwy5-cjky6-ai8
13bo$bo10b3o$3o10bo$bo$12bobo$obo6bo3bo$bo3bo2b3o$4b3obo2b2o$2b2o2bobo
bob2o$b2obobob3ob2o$b2ob3ob2o3bo$bo3b2obob4o$b4obob2obobo$bobob2ob2o2b
2o$b2o2b2ob6o$b6ob2o3bo$bo3b2ob2o3bo$bo3b2ob3o2bo$bo2b3obo4bo$bo4bo2bo
3bo$bo3bo2bobo2bo$bo2bobo6bo$bo11bo$bo7b2o2bo$bo2b2o3bobobo$bobobo7bo$
bo11bo$bo9b3o$b3o6bob2o$b2obo6b3o$b3o$12b2o$b2o8bo$3bo!
How can I make so many wonderful patterns and rules?
Because I'm interested in them, and willing to devote a lot of time to them.
User avatar
Resu
Posts: 801
Joined: May 23rd, 2025, 10:47 am
Location: UTC+14:00
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Re: Miscellaneous Discoveries in Other Cellular Automata

Post by Resu »

Rakes and puffer made with 2 sparky 9c/22 spaceships:

Code: Select all

x = 32, y = 18, rule = B3-k4z6i8/S2-i3-ay4aij5i6e
19b2o8b2o$17b3obo7b3o$16bobo2bo9bo$15bobo3b2o7b2o$15bobo3b2o7b2o$16bo
bo2bo9bo$2bo14b3obo7b3o$3o16b2o8b2o$o$o$3o16b2o8b2o$2bo14b3obo7b3o$16b
obo2bo9bo$15bobo3b2o7b2o$15bobo3b2o7b2o$16bobo2bo9bo$17b3obo7b3o$19b2o
8b2o!

Code: Select all

x = 51, y = 22, rule = B3-k4z6i8/S2-i3-ay4aij5i6e
45bo$43bo3b2o$47b2o$2o16b2o21bo3bobob2o$obo15bobo19b2o4bo3bo$b2o16b2o
19b2o4bo3bo$41bo3bobob2o$47b2o$43bo3b2o$32b3o10bo$35bo$31b4o$32b3o9bo
$42bo3b2o$46b2o$40bo3bobob2o$39b2o4bo3bo$39b2o4bo3bo$40bo3bobob2o$46b
2o$42bo3b2o$44bo!
Glider siderake:

Code: Select all

x = 32, y = 21, rule = B3-k4z6i8/S2-i3-ay4aij5i6e
15b2o$16bo$16bo11b2o$27b2ob2o$26b2obobo$26b2obobo$27b2ob2o$16bo11b2o$
16bo$15bobo$15b2o$15b2o$15bo$15bo11b2o$bo24b2ob2o$o24b2obobo$3o22b2ob
obo$26b2ob2o$15bo11b2o$15bo$14b2o!

Code: Select all

x = 31, y = 13, rule = C
8.2X2.3X.3X.X.X$8.X.X.X3.X3.X.X$8.X.X.3X.3X.X.X$8.2X2.X5.X.X.X$8.X.X.
3X.3X.3X$M2.M$4.M$M3.M$.4M$27.2M$27.M.M$29.M$29.2M! [[ AUTOSTART GPS 10 ]]
atanisaduts
Posts: 13
Joined: September 2nd, 2026, 6:29 am
Location: dont dox me pls
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Re: Oscillator Discussion Thread

Post by atanisaduts »

p11 oscillator in B3-q4ertw5cny6c7c8/S2-i34w5cekq that I found in a rule I found

Code: Select all

x = 3, y = 3, rule = B3-q4ertw5cny6c7c8/S2-i34w5cekq
bo$3o$bo
I call it pulsar II


edit: found this thing that makes a pulsar II I have a photo but idk how img works
CasperWen8805181
Posts: 235
Joined: November 5th, 2023, 10:57 pm
Location: La La Land

Re: Miscellaneous Discoveries in Other Cellular Automata

Post by CasperWen8805181 »

A prawn in a rule iNoMed found:

Code: Select all

x = 49, y = 84, rule = B2e3aciq4acejkyz5-ak6-kn78/S1e2aci4-enq5-ij6-ai7e8
12b4o17b4o$13b2o19b2o2$10b2ob2ob2o13b2ob2ob2o$9bobo4bobo11bobo4bobo$10b
2o4b2o13b2o4b2o$11b2o2b2o15b2o2b2o$8b2o2bo2bo2b2o9b2o2bo2bo2b2o$9bob6o
bo11bob6obo$5b8o2b8o3b8o2b8o$6bobo2b6o2bobo5bobo2b6o2bobo$5bo5bob2obo
5bo3bo5bob2obo5bo$10b2o4b2o13b2o4b2o$7bo3b2o2b2o3bo7bo3b2o2b2o3bo$6bo
bobob4obobobo5bobobob4obobobo$8bo2b6o2bo9bo2b6o2bo$6bo4b6o4bo5bo4b6o4b
o$9bo2bo2bo2bo11bo2bo2bo2bo$9bobob2obobo11bobob2obobo$9bob2o2b2obo11b
ob2o2b2obo$10b2o4b2o13b2o4b2o$10bo2b2o2bo13bo2b2o2bo$11bo4bo15bo4bo$11b
ob2obo15bob2obo$11b6o15b6o$12b4o17b4o$12bo2bo17bo2bo$13b2o19b2o$11b6o
15b6o$11b2o2b2o15b2o2b2o$11b2o2b2o15b2o2b2o$11b2o2b2o15b2o2b2o$12bo2b
o17bo2bo3$13b2o19b2o$12b4o17b4o$12bo2bo17bo2bo$12bo2bo17bo2bo$12b4o17b
4o2$13b2o19b2o5$9b2o6b2o11b2o6b2o$8bobo6bobo9bobo6bobo$9b2o2b2o2b2o11b
2o2b2o2b2o$12bo2bo17bo2bo6$13b2o19b2o3$2bo2bo16b2ob2o16bo2bo$obo3bo14b
obobobo14bo3bobo$ob2obo6b4o5b7o5b4o6bob2obo$3ob4o5b2o5b4ob4o5b2o5b4ob
3o$o2b2o2b2o3b4o3b3ob3ob3o3b4o3b2o2b2o2bo$2bo2bo16b2ob2o16bo2bo$2b2o19b
3o19b2o7$13b2o19b2o4$10bo6bo13bo6bo$8b2obo4bob2o9b2obo4bob2o$9b3o4b3o
11b3o4b3o$9b10o11b10o$9b10o11b10o$9b3ob2ob3o11b3ob2ob3o$8bo10bo9bo10b
o$9bo8bo11bo8bo$10bo6bo13bo6bo!
(forms fully at about 300k generations)
My Rules:
Hash2F (R3,C2,S4,B5-6,N#)
Growth & Isolation (123/2cn345678/8|236/345678/8)
*unnamed rule* (2-a45678/35aei678/3|4568/2-ce35aei678/3)
*unnamed rule* (/2-e3ae/3)
I'm back after a 3 year break!
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