NimbleRogues Cellular Automata

For discussion of other cellular automata.
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NimbleRogue
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Joined: January 11th, 2021, 11:48 pm

NimbleRogues Cellular Automata

Post by NimbleRogue » August 29th, 2023, 2:40 am

This is for some of my rules, I don't feel like I can make a full thread for . This can also be for more useless discussion of my 4 rules with threads. Will make a new post/update if I do more with any of the rules.
4 Rules with threads
Underbrush
viewtopic.php?f=11&t=6016
Pyramid
viewtopic.php?f=11&t=5928
Paladin
viewtopic.php?f=11&t=5861
Bazaar
viewtopic.php?f=11&t=5654
New/Posted, but no thread
Rule 1 Syzygy
This one is completly new, and I might make it it's own thread later
Oscillators
There are a lot, but of note are the OMOS, The ship reaction, and the p472

Code: Select all

x = 2337, y = 1065, rule = B2ei3aciky4jqwy5j6i/S1c2-n3-aiq4-aikqr5-anq6cn7e8
68$193bo4b3o82bo6bo$192b2o3bo3bo80b2o5b2o$193bo7bo81bo4bobo$193bo5b2o
82bo3bo2bo$193bo7bo81bo3b5o756b3o3b3o$193bo3bo3bo81bo6bo59bo3b5o621b3o
3b3o58bo3bobo3bo$192b3o3b3o81b3o5bo58b2o3bo624bo3bobo3bo61bo5bo$350bo
3bo571b3o3b3o48bo5bo60bo4b2o$350bo4b3o567bo3bobo3bo46bo5bo60bo7bo$350b
o7bo570bobo2b2o45bo5bo60bo4bo3bo$350bo3bo3bo569bo2bobobo44bo5bo60b5o2b
3o$349b3o3b3o569bo3b2o2bo43b5ob5o313b3o2b5o$926bo4bo3bo366bo3bo5bo$
472bo4b3o445b5o2b3o371bo4bo$471b2o3bo828bo4bo52b3o3b3o$472bo3bo827bo4b
o52bo3bobo3bo135b3o3b3o$472bo3b4o83bo3b5o731bo4bo57bobo3bo134bo3bobo3b
o$472bo3bo3bo81b2o7bo730b5obo56bo3b3o48b3o4bo83bo5bo$472bo3bo3bo82bo6b
o628b3o2b5o155bo3bo3bo46bo3bo2b2o81b2o5bo$471b3o3b3o83bo5bo628bo3bobo
158bo4bo3bo50bo3bo83bo3bo$563bo4bo545b3o5bo79bobo157b5o2b3o49b2o4bo79b
o3bo2bo$563bo3bo258bo4b3o279bo3bo3b2o78bo3b3o215bo3bo80b3o2b5o$562b3o
2bo151bo4b3o98b2o3bo3bo282bo2bobo77bo7bo210bo3bo3bo$718b2o3bo3bo98bo3b
o3bo281bo2bo2bo76bo4bo3bo211b3o3b3o$719bo3bo3bo98bo4b4o280bo3b5o74b5o
2b3o396b3o3b3o$719bo4b3o99bo7bo279bo7bo480bo3bobo3bo$719bo3bo3bo98bo7b
o278b5o4bo484bo5bo$719bo3bo3bo97b3o3b3o771b2o4b2o$718b3o3b3o880bo5bo$
1603bo3bobo3bo$1604b3o3b3o7$1682b3o5bo$1681bo3bo3b2o$1685bo2bobo$1683b
2o2bo2bo$1109bobo10bobo560bob5o$1109b3o2b2o2b2o2b3o556bo3bo4bo$1111b3o
bo2bob3o559b3o5bo257b5o2b3o$1045bobo7bobo53bo2bo4bo2bo825bo5bo3bo$
1046bo9bo53bob4o2b4obo613bo3b3o204bo9bo55bo2b5o2b3o$1046bo9bo53b2o2bo
4bo2b2o612b2o2bo3bo137b5o3bo58b3o5bo55b2o6bobo3bo$1045bobo7bobo677bobo
6bo137bo6b2o61bo3bo55bobo5bo6bo$1734bo2bo5bo58bo3b3o73bo7bo57bo3bo2bo
55bo2bo4bo6bo$1734b5o3bo58b2o2bo77b3o4bo58b3o2b5o52b5o2bo6bo$1737bo3bo
58bobo2bo80bo3bo123bo2bo6bo$1051bo685bo2b5o54bo2bo2b4o73bo3bo3bo123bo
2bo5b5o$1049bo3bo745b5obo3bo73b3o3b3o$1050bobo749bo2bo3bo$981b2obob2o
62bobo749bo3b3o$983bobo63bobobo$981bo5bo$978bobo7bobo$211bo766bo5bo5bo
$209b2o768bo3bobo3bo$210bo767bo3bo3bo3bo$210b3o766bo3bobo3bo621b2o$
209bo2bo2bo762bo5bo5bo620bob2obo73bo$210bob3o71b5o687bobo7bobo620b2ob
3o71b2ob2o$211bo2bo71bobobo690bo5bo624b3o73bobobo$203bo2bo79b2ob2o692b
obo626bo75b5o$203b3obo78bobobo690b2obob2o623b2o77bo$202bo2bo2bo77b5o
1398bobo$205b3o1475b3o3bobo3b3o$207bo1475bobob3ob3obobo$207b2o1473bob
3o7b3obo259b3o$206bo1476bobob3ob3obobo261bo$1683b3o3bobo3b3o264bo$
1689bobo269b2o$1690bo271bo$370b2o1316b5o$370bo1317bobobo$368b4o3bobo
978b3obob3o323b2ob2o187bo2bo11bo2bo$368bobo5bo672bo2bo303b2obobob2o
246bobo76bo190b3o11b3o$376b3o671b2o304bo2bobo2bo247b2o266bo2bo11bo2bo$
378bobo669bobo304b3ob3o247bo2bobo264b3o11b3o$374bobob2o332bo335bo2b2o
2bo303b3o250b2o266bo2bo11bo2bo$370bo9bo329b2o337b2ob3o556bobo$371b2obo
bo333bobo335bo2b2o2bo$370bobo338bo338bobo$372b3o334b3obo336b2o$374bo5b
obo323b2obo2b2o335bo2bo$373bobo3b4o103b2o218bob2o3bobobo1308bo$380bo
105bo218bobo2bob2ob3o1306b2o$379b2o103b3o222b5o3b3o1304bobo$484bo2bobo
228bo1305b2o$482b3o3b3o220b2o5b2o1025b2o4b2o$482bo2bo3bo222bo1030bobo
6bobo$486bo3bo2bo217b3o3b5o1022b4o2b4o$485b3o3b3o219b3ob2obo2bobo1017b
obobo2bobobo$486bobo2bo221bobobo3b2obo705b2o2b2o2b2o2b2o300bobo4bobo$
489b3o225b2o2bob2o706bo2bo4bo2bo301bobo4bobo$489bo227bob3o708b6o2b6o
300b3o4b3o$488b2o229bo710bo4bo2bo4bo$718bobo710b2ob2o2b2ob2o293bobo20b
obo$719b2o709bo4bo2bo4bo293bob3o14b3obo$718bo711b6o2b6o291b4o2bo14bo2b
4o$1431bo2bo4bo2bo292bobob3o14b3obobo$568bobo859b2o2b2o2b2o2b2o293b2o
20b2o$569bo951b2o2b2o$568bobo950bo3bo3bo$568bobo256bobo692b7o208b2o20b
2o$567bobobo256bo692bo2bobo2bo205bobob3o14b3obobo$295bo271bo3bo255b4o
693bobo208b4o2bo14bo2b4o33b2o18b2o$296bo268b3o3b3o256bobo690bobobo209b
ob3o14b3obo33bobo20bobo$293bo271bo7bo252b3ob2o691b5o208bobo20bobo30bob
2ob3o6b2o6b3ob2obo$294bobo525bobobobobobo960b2obo2bo6b2o6bo2bob2o$291b
o531b2ob3o696bo218b3o4b3o38bob2ob3o6b2o6b3ob2obo$292bo529bobo699bobo
217bobo4bobo40bobo20bobo$289bo534b4o231bobobo461bo218bobo4bobo42b2o18b
2o$194bo15bo79bobo533bo233bobo461b3o216bobobo2bobobo$194b3o11b3o614bob
o232b3o461bobo217b4o2b4o$193bo2bo2b2obob2o2bo2bo849bo148b2o93bobo215bo
bobo215bobo6bobo$199bobobobo853b2ob2o146bo94b3o215b2ob2o217b2o4b2o$
201bobo857bo149bo92b2o$190bo9bobobo9bo995bo91b3o$188b2o11b3o11b2o993bo
bo89bobo$189bo10bobobo10bo993b3ob2o2bo83bobobo$189b2o9b5o9b2o834bo3bo
5b3o5bo3bo136bob2o2b2o84b2obo3b2o$1051b2obo4bo3bo4bob2o141b2obo86b3o2b
o$202bo847bob2obo3bo3bo3bob2obo143b2o86bo3b2o$190b2o21b2o714b2o6b2o
112b2obo4bo3bo4bob2o141b2obo86bobo$190bo2bob2o3b5o3b2obo2bo714b2o6b2o
111bo3bo5b3o5bo3bo136bob2o2b2o87bo$191b2obobo3b5o3bobob2o713bobo8bobo
268b3ob2o2bo84b3o$190bo2b4obob2ob2obob4o2bo713b12o270bobo89bob2o$191b
2obobo3b5o3bobob2o713bobo8bobo269bo94b3o$190bo2bob2o3b5o3b2obo2bo714b
2o6b2o122bo149bo93bobo$190b2o21b2o158bobo9bobo541b2o6b2o120b2ob2o146bo
$202bo171bo11bo674bo148b2o$372b4o9b4o671b3o$189b2o9b5o9b2o154bobo15bob
o669bobo$189bo10bobobo10bo155b2o4bobobobo4b2o669bobobo$188b2o11b3o11b
2o153bobo4b2obob2o4bobo$190bo9bobobo9bo161bo2bobo2bo90bobo349bobo$201b
obo170b2o4bo4b2o89bo351bo$199bobobobo169bo4bo4bo90bo351bo$193bo2bo2b2o
bob2o2bo2bo162bobo2b3o2bobo89bo351bo$194b3o11b3o164bob3ob3obo89bobo
350bo$194bo15bo163bobo2b3o2bobo88bobo350bo$375bo4bo4bo87bob3obo348bo$
374b2o4bo4b2o441bo$376bo2bobo2bo443bo103bo$370bobo4b2obob2o4bobo82b3ob
3o348bo103bo$371b2o4bobobobo4b2o85bobo350bo103bo$370bobo15bobo83b2ob2o
348bobo$372b4o9b4o86bobo$374bo11bo87bobobo453b2o$373bobo9bobo545b2o3bo
bo$932bobo4bo$933b2o3bobo$932b2o3$932bo$932bo$932bo$713b2o4b2o$713bo6b
o$712b3o4b3o$712bo8bo$710b3o8b3o$710bo2bobo2bobo2bo$708b3ob10ob3o$706b
3o2b2o2bo2bo2b2o2b3o$706bobo3bo8bo3bobo$711b3o6b3o$712bo8bo$712bo8bo$
711b3o6b3o$706bobo3bo8bo3bobo$706b3o2b2o2bo2bo2b2o2b3o$708b3ob10ob3o$
710bo2bobo2bobo2bo$710b3o8b3o$712bo8bo$712b3o4b3o353bobobo$713bo6bo
355bobo$713b2o4b2o355b3o$1075b2ob2o$1077bo8$1196bobo8bobo$1082bo111bo
2bo10bo2bo$1080b2ob2o110b3o10b3o$1081b3o108bo2bobo10bobo2bo$1081bobo
109b4obobo4bobob4o$1080bobobo106bobob3o10b3obobo$1192b3ob2obo6bob2ob3o
$1191bo3bo2bo8bo2bo3bo$1197bobo6bobo$1195bo14bo5$205b2o2bobo2b2o979bo
14bo$206bo3bo3bo170bo3bobo3bo801bobo6bobo$204b13o168b4obob4o795bo3bo2b
o8bo2bo3bo$202bobobobo3bobobobo169bobobo799b3ob2obo6bob2ob3o$202b5o7b
5o171bo800bobob3o10b3obobo$204bo11bo164b2o6bobo6b2o174b2o617b4obobo4bo
bob4o$204b2o9b2o165bo15bo173bo2bo616bo2bobo10bobo2bo$202bobo4b3o4bobo
163bo15bo171b2ob2o620b3o10b3o$203b2o4bobo4b2o164b2o13b2o171bobo2bo618b
o2bo10bo2bo$202bobo4b3o4bobo162bo3bo9bo3bo168b7o621bobo8bobo$204b2o9b
2o165b3o11b3o169bobo2bo$204bo11bo164bo3bo9bo3bo167bob2o2bo$202b5o7b5o
163b2o13b2o169bob4obo$202bobobobo3bobobobo163bo15bo167bobobo3bobo3bob
2o$204b13o165bo15bo167b2obo3bobo3bobobo$206bo3bo3bo166b2o6bobo6b2o174b
ob4obo$205b2o2bobo2b2o174bo185bo2b2obo$388bobobo183bo2bobo$385b4obob4o
179b7o$385bo3bobo3bo178bo2bobo$575b2ob2o$574bo2bo$574b2o23$715b2o3b2o$
715bo5bo$716bo3bo$715b2o3b2o$718bo$718bo$718bo$708b2obo13bob2o$708bob
2o13b2obo$717bobo$712b3o7b3o$717bobo$708bob2o13b2obo$708b2obo13bob2o$
718bo$718bo$718bo$715b2o3b2o$716bo3bo$715bo5bo$715b2o3b2o37$195bobo$
196bo$194b3o$194bobo2$193b2o7bo$190b2ob2o4b3o$188bobo9bobo$189b3o4b2ob
2o$188bo7b2o2$194bobo$194b3o$194bo1004bobobo$193bobo1004bobo$1198b3ob
3o$1198b2o3b2o$1196b3o2bo2b3o$1195bo2bo2bo2bo2bo$1196bobob3obobo$1195b
obobobobobobo$1196b3ob3ob3o$1195bobobobobobobo$1196bobob3obobo$1195bo
2bo2bo2bo2bo$577bobo616b3o2bo2b3o$578bo619b2o3b2o$578bo619b3ob3o$577bo
bo620bobo$578bo620bobobo$576bobobo$576bobobo$577b3o4$580bo$577bo4$578b
3o$577bobobo$577bobobo$579bo$578bobo$579bo$579bo$578bobo$186bobo$187bo
4b2o$187bo4bo$187b2ob3o$190bob2o106$576b2o2b2ob2o2b2o$577bo2bobobo2bo$
577bobobobobobo$573bo2b3ob5ob3o2bo$573b4ob2o2bo2b2ob4o$576b4obobob4o$
575bob3ob3ob3obo$573b2obo11bob2o$573bob2ob2obobob2ob2obo$574bob2obo5bo
b2obo$573bob2ob2obobob2ob2obo$573b2obo11bob2o$575bob3ob3ob3obo$576b4ob
obob4o$573b4ob2o2bo2b2ob4o$573bo2b3ob5ob3o2bo$577bobobobobobo$577bo2bo
bobo2bo$576b2o2b2ob2o2b2o50$582bo2bo2bo2bo$580b2ob2o4b2ob2o$580bobobob
2obobobo$579bob2ob2o2b2ob2obo$577b2obobobo4bobobob2o$577bobob3obo2bob
3obobo$576bob5ob6ob5obo$577bo3bobo2b2o2bobo3bo$577b4obob6obob4o$576bo
2bob2obob2obob2obo2bo$578bo3b10o3bo$578bo3b10o3bo$576bo2bob2obob2obob
2obo2bo$577b4obob6obob4o$577bo3bobo2b2o2bobo3bo$576bob5ob6ob5obo$577bo
bob3obo2bob3obobo$577b2obobobo4bobobob2o$579bob2ob2o2b2ob2obo$580bobob
ob2obobobo$580b2ob2o4b2ob2o$582bo2bo2bo2bo51$584b2obo$584bobo$582bobob
o$582b2o2bo$584bo2bo$582bo$583b2o$582bobo!
There are also 2 sets of fake extensible oscillators

Code: Select all

x = 129, y = 56, rule = B2ei3aciky4jqwy5j6i/S1c2-n3-aiq4-aikqr5-anq6cn7e8
14$114bobo$115bo$34b2o58bobo18bo$34b2o59bo19bo$34b2o48bobo8bo19bo$24b
2o8b2o38bobo8bo9bo19bo$24b2o8b2o28bobo8bo9bo9bo19bo$24b2o8b2o18bobo8bo
9bo9bo9bo19bo$14b2o8b2o8b2o19bo9bo9bo9bo9bo19bo$4b2o8b2o8b2o8b2o19bo9b
o9bo9bo9bo19bo$4b2o8b2o8b2o8b2o19bo9bo9bo9bo9bo19bo$4b2o8b2o8b2o8b2o
18bobo7bobo7bobo7bobo7bobo17bobo!
Ships
There are three natural ships, a c/2o, a c/3o, and a 4c/14d, I have not found any unnatural ones yet

Code: Select all

x = 41, y = 13, rule = B2ei3aciky4jqwy5j6i/S1c2-n3-aiq4-aikqr5-anq6cn7e8
2$36b3o$28b3o5bobo$7b3o5b5o9b2o3bobob2o$7bobo5bobobo8bobo3b3ob2o$36bob
2o$36bobo$36b3o!
I have not found any usefull ship reactions, but I am close, the thing is everyting is so sticky but some of the reactions are wild, and it has a lot of engeneering potential

Code: Select all

x = 113, y = 42, rule = B2ei3aciky4jqwy5j6i/S1c2-n3-aiq4-aikqr5-anq6cn7e8
4$98b2o$96bobo$96b2obo2$96bo$15b2o77b3o$12b2obo78bo$13b2obo$13bo$12b2o
84b3o$98bobo4$16b3o43b2o3bob2o$16bobo41bobo2b2obobo$35bo2bo22b2o2bob2o
$35b4obob2o16bo7bo2bo$33bobo2b2obobo24b4o$34b2o2bob2o28bo$33bo7bo26b3o
$41b2o25bob2o$69bobo$63b3o2b2o$63bobo2$36b3o$36bobo!
Other stuff
Only one gun has been found, using the p472 and there are a few puffers/wickstreachers

Code: Select all

x = 90, y = 27, rule = B2ei3aciky4jqwy5j6i/S1c2-n3-aiq4-aikqr5-anq6cn7e8
7$17bo5bo13b3o$16bobo3bobo12bobo15b2o$16bobobobobo14b2o12bobo$19bobo
17bo14b2o$17bobobobo14bo14bob2o$19bobo17bo29bo$19bobo17bo27b2o$18bobob
o15b2o27bobo$18b5o44b2o$20bo$20bo$18b5o$18bo3bo!
Rule 2 Rivulet
This rule was designed to have a 5 cell x that is undistructable, from some of the giant high period amoebae rules I have posted on discord, there actually is a chance of some engeneering potential or of some guns, and Its stable
Oscillators
Attached to this post are all of the oscillators from a nbsearch2a many are adjustable, but there is many unique periods too
Ships
Speeds c/3o, 3c/9o, 3/16o, 4c/278d

Code: Select all

x = 204, y = 65, rule = B2e3aij4ar5ainq6-ei78/S1c2ace3eknqr4acekw5-akr6-ci78
15$180b3o$180bob2o$183bo$182b2o3$117b4o$115b2ob2ob2o$64b4o47b8o$29b3o
33b2o46b12o$28bobobo31b4o43bo3b8o3bo$30bo33bo2bo43b16o$110bob14obo41bo
$112b14o42b2o$65b2o45b14o40b6o$114b10o42b5o$114b10o40b6o$116b6o41b7o$
118b2o42bob4o$118b2o40b2o3b3o$166bo$160b2o3bo$161b2obo$162bobo!
Other Things
A spacefiller on discord by para

Code: Select all

x = 16, y = 17, rule = B2e3aij4ar5aiknq6acn78/S1c2ace3-aijy4acekw5-akr6-ci78
6b4o$6b4o$4b8o$4b8o$2b12o$2b12o$16o$16o$2b12o$2b12o$3b10o$3b10o$4b7o$
4bo5bo$7bo$5bobobo$6b3o!
Rule 3 Fuzey +
I have posted this here, you can check it out, I have not discovered anything new since then
viewtopic.php?f=11&t=3120&p=160516#p160516
Attachments
Rivulet.rle
(1.21 MiB) Downloaded 16 times

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2b6o$ob6obo$3b4o$2bo4bo!

User avatar
FWKnightship
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Joined: June 23rd, 2019, 3:10 am
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Re: NimbleRogues Cellular Automata

Post by FWKnightship » August 29th, 2023, 5:08 am

Rivulet is omniperiodic:

Code: Select all

x = 415, y = 85, rule = B2e3aij4ar5ainq6-ei78/S1c2ace3eknqr4acekw5-akr6-ci78Super
139.3D9.3D$3.D21.3D17.5D17.5D66.D3.D3.D3.D3.D$2.2D20.D3.D16.D25.D66.D
3.D3.D7.D.4D$3.D24.D16.D24.D68.4D.5D4.D2.D3.D$3.D22.2D18.3D20.D72.D3.
D5.D3.D3.D$3.D24.D20.D18.D73.D3.D4.D4.D3.D$3.D20.D3.D16.D3.D17.D71.3D
8.5D.D3.D$2.3D20.3D18.3D18.D5$24.2M3.2M143.M.M25.M.M$22.M2.M3.M16.M.M
16.M.2M.2M.M22.M.M21.M.M25.M.M19.M.M2.M22.M.M2.M$22.2M3.M3.M15.M18.2M
3.2M19.M.M2.M18.M.M2.M22.M.M2.M21.M2.M.M22.M2.M.M$25.M.2M.2M14.M.M16.
4M.4M19.M2.M.M18.M2.M.M22.M2.M.M19.M.M25.M.M$4.2M18.4M15.4M.4M13.M.M
3.M.M18.M.M21.M.M25.M.M27.5M23.4M$2.M2.M20.4M16.M.M47.4M20.5M23.4M17.
M.M.6M18.M.M.7M$2.2M18.2M.2M.M18.M17.M.M3.M.M17.M.M.7M13.M.M.6M2.2M
14.M.M.7M16.M2.8M17.M2.7M$22.M3.M3.2M14.M.M16.4M.4M18.M2.8M13.M2.7M2.
M15.M2.7M2.2M11.M.M.8M16.M.M.9M$24.M3.M2.M34.2M3.2M18.M.M.8M12.M.M.7M
17.M.M.8M2.M15.10M18.9M2.2M$23.2M3.2M35.M.2M.2M.M21.9M15.9M19.8M18.
11M18.9M2.M$96.8M.M.M11.11M18.9M18.9M18.9M$96.8M2.M14.9M18.11M16.11M
18.9M$97.7M.M.M15.7M.M.M16.9M18.9M18.11M$99.4M17.M2.7M2.M19.8M17.11M
18.9M$104.M.M13.2M2.6M.M.M15.M2.8M.M.M14.10M20.9M$100.M.M2.M18.5M20.
2M2.7M2.M17.8M.M.M13.M2.9M$101.M2.M.M23.M.M20.7M.M.M16.8M2.M14.2M2.9M
$100.M.M23.M.M2.M23.4M23.6M.M.M17.9M.M.M$127.M2.M.M27.M.M19.5M24.7M2.
M$126.M.M27.M.M2.M26.M.M20.7M.M.M$157.M2.M.M21.M.M2.M23.4M$156.M.M26.
M2.M.M27.M.M$184.M.M27.M.M2.M$215.M2.M.M$214.M.M6$.3D23.D18.3D17.3D
29.D4.3D28.D4.3D21.D6.D23.D4.3D23.D4.3D24.3D3.3D69.3D3.3D9.3D$D3.D21.
2D17.D19.D3.D27.2D3.D3.D26.2D3.D3.D19.2D5.2D22.2D3.D25.2D3.D3.D22.D3.
D.D3.D67.D3.D.D3.D3.D3.D3.D$4.D20.D.D17.D19.D3.D28.D3.D2.2D27.D7.D20.
D4.D.D23.D3.D26.D3.D3.D26.D.D2.2D71.D5.D3.D7.D.4D$3.D20.D2.D17.4D17.
3D29.D3.D.D.D27.D6.D21.D3.D2.D23.D3.4D23.D4.3D26.D2.D.D.D70.D5.D2.5D
4.D2.D3.D$2.D21.5D16.D3.D15.D3.D28.D3.2D2.D27.D5.D22.D3.5D22.D3.D3.D
22.D3.D3.D24.D3.2D2.D69.D5.D5.D5.D3.D3.D$.D25.D17.D3.D15.D3.D28.D3.D
3.D27.D4.D23.D6.D23.D3.D3.D22.D3.D3.D23.D4.D3.D68.D5.D6.D4.D4.D3.D$5D
22.D18.3D17.3D28.3D3.3D27.3D2.5D19.3D5.D22.3D3.3D22.3D3.3D23.5D2.3D
68.5D.5D7.5D.D3.D5$2.2M23.M17.M21.2M27.2M39.M21.M.M9.M.M22.2M$2.2M22.
M19.M.2M15.M2.M25.4M38.2M22.M11.M$6M20.2M17.M3.M15.2M27.6M36.4M19.M.M
9.M.M$6M20.2M19.M15.M7.2M19.8M34.7M24.M.M60.2M25.2M9.2M27.M.M27.M.M
30.M.M32.M.M$2.2M43.2M14.2M2.2M2.M20.9M.2M31.4M21.5M3.5M53.2M2.2M24.M
9.M23.M.M3.M23.M.M3.M26.M.M3.M28.M.M3.M$2.2M62.4M3.2M15.11M.M2.M31.2M
21.6M.6M23.2M28.6M22.M13.M22.M3.M.M23.M3.M.M26.M3.M.M28.M3.M.M$65.6M
2.M16.11M3.2M31.M21.7M.7M20.6M54.2M.9M.2M21.M.M27.M.M30.M.M32.M.M$60.
2M2.8M3.M13.14M4.2M50.7M.7M18.10M55.9M28.6M.3M20.6M.3M23.6M.3M25.6M.
3M$60.M3.8M2.2M13.22M50.4M3.4M18.14M50.15M24.7M.5M17.7M.5M20.7M.5M22.
7M.5M$62.M2.6M20.20M50.4M3.4M18.14M46.2M.17M.2M16.M.M.13M13.M.M.13M
16.M.M.13M18.M.M.13M$61.2M3.4M21.22M75.18M42.M2.M.17M.M2.M15.M2.14M
13.M2.15M15.M2.15M17.M2.15M$64.M2.2M2.2M20.20M75.18M22.2M18.2M3.17M3.
2M14.M.M.14M12.M.M.15M14.M.M.15M16.M.M.15M$63.2M7.M23.18M75.M.12M.M
23.2M21.21M21.14M16.16M17.17M18.17M$69.2M22.2M.18M77.12M24.4M20.21M
21.12M18.16M17.17M18.17M$67.M2.M22.M3.16M74.M.M.12M.M.M20.4M20.21M23.
12M18.14M19.16M19.17M$67.2M26.M.16M.2M72.M3.10M3.M45.21M21.14M16.14M
19.18M17.19M$94.2M.16M.M72.M.M2.10M2.M.M44.21M21.14M.M.M12.16M17.18M
17.20M$97.16M3.M77.6M51.21M21.14M2.M13.16M17.16M19.20M$96.18M.2M77.6M
51.21M22.13M.M.M13.15M.M.M14.17M18.19M$96.18M82.2M53.21M22.5M.7M17.
15M2.M15.17M18.17M$97.20M79.2M53.21M24.3M.6M20.13M.M.M16.15M.M.M16.
17M$97.22M129.2M3.17M3.2M32.M.M16.5M.7M20.15M2.M17.17M$99.20M129.M2.M
.17M.M2.M27.M.M3.M19.3M.6M23.13M.M.M18.15M.M.M$99.22M129.2M.17M.2M30.
M3.M.M29.M.M19.5M.7M22.15M2.M$101.2M4.14M133.15M33.M.M29.M.M3.M22.3M.
6M25.13M.M.M$104.2M3.11M137.9M69.M3.M.M32.M.M21.5M.7M$104.M2.M.11M
134.2M.9M.2M65.M.M32.M.M3.M24.3M.6M$106.2M.9M136.M13.M101.M3.M.M34.M.
M$110.8M138.M9.M102.M.M34.M.M3.M$110.6M139.2M9.2M139.M3.M.M$112.4M
290.M.M$112.2M!
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
NimbleRogue
Posts: 628
Joined: January 11th, 2021, 11:48 pm

Re: NimbleRogues Cellular Automata

Post by NimbleRogue » September 17th, 2023, 7:17 pm

Failed ship converter in Rivulet

Code: Select all

x = 45, y = 38, rule = B2e3aij4ar5ainq6-ei78/S1c2ace3eknqr4acekw5-akr6-ci78
6$11bobo$12bo$11bobo$20bobo$21bo$20bobo4$8bobo$9bo3b4o$8bobo3b2o$13b4o
$13bo2bo2$27bobo$14b2o12bo$27bobo!
Can anyone make a reflector out of this?

Code: Select all

x = 37, y = 29, rule = B2e3aij4ar5ainq6-ei78/S1c2ace3eknqr4acekw5-akr6-ci78
7$12bobo$6b2o5bo$7bo4bobo$5bo$5b2o$15bobo$16bo$15bobo2$9b3o$8bobobo$
10bo2$15bobo$16bo$15bobo!

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2b6o$ob6obo$3b4o$2bo4bo!

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confocaloid
Posts: 5481
Joined: February 8th, 2022, 3:15 pm
Location: learn to protect yourself against stray gliders and sparks and self-destruct mechanisms

Re: NimbleRogues Cellular Automata

Post by confocaloid » September 18th, 2023, 6:19 am

NimbleRogue wrote:
September 17th, 2023, 7:17 pm
Can anyone make a reflector out of this?

Code: Select all

x = 37, y = 29, rule = B2e3aij4ar5ainq6-ei78/S1c2ace3eknqr4acekw5-akr6-ci78
7$12bobo$6b2o5bo$7bo4bobo$5bo$5b2o$15bobo$16bo$15bobo2$9b3o$8bobobo$
10bo2$15bobo$16bo$15bobo!
rt296 180-degree c/3o reflector + p700 oscillator

Code: Select all

x = 85, y = 110, rule = B2e3aij4ar5ainq6-ei78/S1c2ace3eknqr4acekw5-akr6-ci78
23bobo51bobo$17b2o5bo46b2o5bo$18bo4bobo46bo4bobo$16bo53bo$16b2o52b2o$
12bobo11bobo37bobo11bobo$13bo13bo39bo6b3o4bo$12bobo11bobo37bobo4bobobo
2bobo$75bo$20b3o52bo$19bobobo$3bobo15bo35bobo$4bo16bo36bo$3bobo20bobo
28bobo20bobo$27bo53bo$26bobo51bobo2$obo51bobo$bo53bo$obo51bobo12$82bob
o$83bo$82bobo2$56bobo$57bo$56bobo20bobo$80bo$79bobo4$56bobo11bobo$57bo
13bo$56bobo11bobo$67b2o$68bo$59bobo4bo$60bo5b2o$59bobo18$4bobo$5bo$4bo
bo37$21bo$19b5o$19b2ob2o!
#C [[ THEME Fire ]]
127:1 B3/S234c User:Confocal/R (isotropic CA, incomplete)
Unlikely events happen.
My silence does not imply agreement, nor indifference. If I disagreed with something in the past, then please do not construe my silence as something that could change that.

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silversmith
Posts: 383
Joined: June 15th, 2020, 6:20 pm
Location: Pennsylvania, USA, Earth, Sector 5ff63D6
Contact:

Re: NimbleRogues Cellular Automata

Post by silversmith » September 18th, 2023, 9:10 am

NimbleRogue wrote:
September 17th, 2023, 7:17 pm
Can anyone make a reflector out of this?
confocaloid wrote:
September 18th, 2023, 6:19 am
rt296 180-degree c/3o reflector + p700 oscillator
Using a catalyst from your reflector, I was able to complete a 90 degree splitter.

Code: Select all

x = 29, y = 35, rule = B2e3aij4ar5ainq6-ei78/S1c2ace3eknqr4acekw5-akr6-ci78
10b2o$11bo5bobo$3b2o4bo8bo$4bo4b2o6bobo$2bo$2b2o7$obo23bobo$bo25bo$obo
23bobo13$18bobo$19bo$18bobo$12bobo$13bo$6b3o3bobo$5bobobo$7bo!
I also found this sparker

Code: Select all

x = 12, y = 11, rule = B2e3aij4ar5ainq6-ei78/S1c2ace3eknqr4acekw5-akr6-ci78
5b2o$5b2o$3b6o$b10o$2b8o$b10o$b10o$4b4o$obob4obobo$bo3b2o3bo$obo6bobo!
A simulator with the tools I couldn’t find elsewhere: https://www.silversimulations.com
Documentation: https://github.com/teraxtech/caplayer

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NimbleRogue
Posts: 628
Joined: January 11th, 2021, 11:48 pm

Re: NimbleRogues Cellular Automata

Post by NimbleRogue » December 6th, 2023, 3:07 am

Rule 5: MoshPit (I forgot to post this last time, but it's not that intresting)
It has many oscillators and 2 ships.

Code: Select all

@RULE MoshPit

@TABLE

n_states:3
neighborhood:Moore
symmetries:permute
var a={0,1,2}
var b={0,1,2}
var c={0,1,2}
var d={0,1,2}
var e={0,1,2}
var f={0,1,2}
var g={0,1,2}
var h={0,1,2}
var i={0,1,2}

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

0,2,2,2,2,2,0,0,0,2
2,2,2,2,2,0,0,0,0,2

0,2,2,2,2,2,2,2,0,2
2,2,2,2,2,2,2,0,0,2

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

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

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

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

1,1,0,0,0,0,0,0,0,1

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

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

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

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

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

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

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

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

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

a,2,2,1,1,1,1,1,1,2
a,2,2,1,1,1,1,1,1,2
a,2,2,1,1,1,1,1,1,2

0,1,1,1,1,1,1,1,0,1
1,1,1,1,1,1,1,0,0,1

1,1,1,1,1,1,1,1,0,1

a,b,c,d,e,f,g,h,i,0

Code: Select all

x = 572, y = 159, rule = MoshPit
19$362.A$362.A2$279.A.A20.A.A54.A51.A48.B5.B$359.A87.2B.2B10.3B$279.A
.A5.3B4.3B5.A.A142.2B.2B9.B3.B$121.A.A88.A30.A43.3B4.3B71.2A41.A44.A
4.B3.B$287.3B4.3B37.A112.2B.2B9.B3.B$121.A.A92.B43.B72.B113.2B.2B5.2A
B2.3B$206.B2.B2.A30.A17.B69.A2.A36.2A87.B5.B$171.B85.A95.2A$129.B39.A
46.B41.A$129.B13.A2.A112.A151.A$129.B42.A31.A2.A47.B31.3B4.3B59.2A$
62.A.A6.B2A2.2AB43.3B.3B41.B45.A2.A36.B30.3B4.3B$49.3B19.B6.B16.6B20.
B157.A.A5.3B4.3B5.A.A61.A44.A$22.A7.A21.A9.A.A6.B6.B17.A2.A21.B85.B
35.A122.A$22.A28.A44.A2.A21.B157.A.A20.A.A$21.B8.2A18.AB43.6B110.A2.B
2.B145.A$207.B35.A119.A$127.A.A$211.A$52.B74.A.A$51.A.B$50.A.A$49.B.A
$50.B6$441.B5.B$443.3B28.2B.2B$442.B3.B27.2B.2B$442.B3.B10.5A$130.A.A
309.B3.B2.A.A5.5A5.A.A4.2B.2B$72.3B368.3B11.5A12.2B.2B$130.A.A308.B5.
B.A.A5.5A5.A.A$70.A5.A380.5A2$72.3B23.B25.A.A$94.B2.A25.A$122.A3.A
330.5A$125.A315.B5.B.A.A5.5A5.A.A$94.B2.A24.A.A318.3B11.5A12.2B.2B$
98.B343.B3.B2.A.A5.5A5.A.A4.2B.2B$442.B3.B10.5A$116.A.A323.B3.B27.2B.
2B$443.3B28.2B.2B$116.A.A322.B5.B!
Rule 6: Turncoat
This rule could definatly be improved ship wise, but it has a lot of juicy oscillators Thanks to yujh for finding most the stuff on catagolue. Right now becuase there is no small ship objects are mainly oscillators, if someone finds a varieation with a/some small ship/s, and feels motivated to please feel free to make a thread, or if this is getting enough attention I might make a thread for this too.
The ship is 3c/54d

Code: Select all

x = 3, y = 4, rule = B2e3aeij4cj5k6c/S2-ci3-a4-ajrwz5-y67
2bo$2o$b2o$2bo!
An example of some of the oscillators in it

Code: Select all

x = 20, y = 24, rule = B2e3aeij4cj5k6c/S2-ci3-a4-ajrwz5-y67
6b2o$4bo2bo$4b2o7bo$12b3o$2o9b2obobob2o$bo14b2obo$o$2o11$6b2o$6bo$2o5b
o$o5b2o$bo$2o!
A p120 tripple barreled gun

Code: Select all

x = 14, y = 15, rule = B2e3aeij4cj5k6c/S2-ci3-a4-ajrwz5-y67
10bo$9b2o$2o7bobo$bo$3o2$3o$bo$2o4$12b2o$10bo2bo$10b2o!
Last edited by NimbleRogue on January 20th, 2025, 4:37 pm, edited 1 time in total.

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2b6o$ob6obo$3b4o$2bo4bo!

User avatar
FWKnightship
Posts: 1551
Joined: June 23rd, 2019, 3:10 am
Location: Hey,wait!! Where am I!? Help! Somebody help!I'm lost!!

Re: NimbleRogues Cellular Automata

Post by FWKnightship » December 7th, 2023, 6:17 am

P13+n in Turncoat:

Code: Select all

x = 79, y = 23, rule = B2e3aeij4cj5k6c/S2-ci3-a4-ajrwz5-y67
76bobo$76b3o$bobobobob2ob2obobobo2bobobobobobobobobobobobobobobobobobo
2bobobobobob2ob2o$b3ob3obo2bo2b3ob4ob3ob3ob3ob3ob3ob3ob3ob3ob4ob3ob3ob
o2bo3b3o$5bobob2ob2obobobo2bobobobobobobobobobobobobobobobobobo2bobobo
bobob2ob2o2bobo$bobo$b3o54b2o4b3o$59b2o5bo$bobo54b2o4b3o$b3o$9b2obobob
obobobobobobobobobobobobobobobobobobobobobobobobobob2o5bobo$b3o6bob3ob
3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3obo6b3o$bobo5b2obobobobobobobobob
obobobobobobobobobobobobobobobobobobobob2o$75b3o$75bobo2$75b3o$75bobo$
obo2b2ob2obobobobobo2bobobobobobobobobobobobobobobobobobo2bobobob2ob2o
bobo$3o3bo2bob3ob3ob4ob3ob3ob3ob3ob3ob3ob3ob3ob4ob3o2bo2bob3ob3o$5b2ob
2obobobobobo2bobobobobobobobobobobobobobobobobobo2bobobob2ob2obobobobo
$3o$obo!
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
NimbleRogue
Posts: 628
Joined: January 11th, 2021, 11:48 pm

Re: NimbleRogues Cellular Automata

Post by NimbleRogue » August 2nd, 2024, 2:50 pm

Rule 7: Marvelous Machinery
viewtopic.php?f=11&t=6257
Rule 8: Speciation
viewtopic.php?f=11&t=6492
Edit 1: Removed rule 9 All of the rule 9 patterns can be found here viewtopic.php?f=11&t=3120&hilit=antidot ... 00#p190921

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2b6o$ob6obo$3b4o$2bo4bo!

User avatar
NimbleRogue
Posts: 628
Joined: January 11th, 2021, 11:48 pm

Re: NimbleRogues Cellular Automata

Post by NimbleRogue » January 11th, 2025, 6:35 pm

Rule # 9 Cornucopia
This rule has an incredible amount of common signals, and an incredible amount of signal reactions.
Main signal stuff:
A good start in this rule is these 2 families of adjustable spaceship that are nearly identical
The first family of ship moves at c/37+12n where n≥0, the second moves at c/49+12n where n≥0

Code: Select all

x = 136, y = 23, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
2$12bo39bo39bo39bo$2b9ob2o30b7ob2o32b5ob2o36bob2o$2b12o30b10o32b8o35b
5o$2b12o30b10o32b8o34b6o4$12bo39bo39bo$2b9ob2o30b7ob2o32b5ob2o$2b12o
30b10o32b8o$2b12o30b10o32b8o$2b12o30b10o32b8o!
This ship involves 2 signals a c, and 2c/2 Here I have laid out the cycle of signals in order as the ship goes through it's cycle. These 2 signals appear a lot and are a big player in this rules dynamics.

Code: Select all

x = 13, y = 39, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
11bo$b9ob2o$b12o$b12o4$11bo$9o2b2o$13o$13o4$10b2o$b8o2b2o$b12o$b12o4$
11bo$b8o2b2o$b12o$b12o4$10b2o$2b7o2b2o$2b11o$2b11o4$11bo$2b8ob2o$2b11o
$2b11o!
You can use two of the signals in adjustable on the top and bottom of a rectangle to get some interesting results. There are 2 infinite families of adjustable oscillator that can be made from one of the ship signals on both sides. This adjustable oscillators supports periods of 72+24n

Code: Select all

x = 172, y = 105, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
13bo30bo$b11ob9o11b10ob8o$b21o10b20o$22o11b19o$ob20o12bob16o$b2o33bo
13$13bo30bo$b11ob9o11b10ob8o$b21o11b19o$b21o11b19o$3b19o10bob18o$bo32b
o4$13bo30bo$b11ob9o11b10ob8o$b21o11b19o$b21o11b19o$bob19o12b18o$bo31bo
4$13bo30bo30bo30bo$b11ob9o11b10ob8o13b9ob7o15b8ob6o$b21o11b19o13b17o
15b15o$b21o11b19o13b17o15b15o$b2o2b17o11bo2b16o15b15o14bob14o$2bo30bo
31bo32bo4$13bo30bo$b11ob9o11b10ob8o$b21o11b19o$b21o11b19o$b3ob17o11b2o
b16o$3bo30bo4$13bo30bo30bo30bo$b11ob9o11b10ob8o13b9ob7o15b8ob6o$b21o
11b19o13b17o15b15o$b21o11b19o13b17o15b15o$b4o2b15o11b3o2b14o13b2o2b13o
15bo2b12o$4bo30bo30bo30bo4$13bo30bo30bo30bo$b11ob9o11b10ob8o13b9ob7o
15b8ob6o$b21o11b19o13b17o15b15o$b21o11b19o13b17o15b15o$b5ob15o11b4ob
14o13b3ob13o15b2ob12o$5bo30bo30bo30bo4$13bo30bo30bo30bo30bo30bo$b11ob
9o11b10ob8o13b9ob7o15b8ob6o17b7ob5o19b6ob4o$b21o11b19o13b17o15b15o17b
13o19b11o$b21o11b19o13b17o15b15o17b13o19b11o$b6o2b13o11b5o2b12o13b4o2b
11o15b3o2b10o17b2o2b9o19bo2b8o$6bo30bo30bo30bo30bo30bo4$13bo30bo30bo
30bo$b11ob9o11b10ob8o13b9ob7o15b8ob6o$b21o11b19o13b17o15b15o$b21o11b
19o13b17o15b15o$b7ob13o11b6ob12o13b5ob11o15b4ob10o$7bo30bo30bo30bo4$
13bo30bo30bo30bo30bo30bo$b11ob9o11b10ob8o13b9ob7o15b8ob6o17b7ob5o19b6o
b4o$b21o11b19o13b17o15b15o17b13o19b11o$b21o11b19o13b17o15b15o17b13o19b
11o$b8o2b11o11b7o2b10o13b6o2b9o15b5o2b8o17b4o2b7o19b3o2b6o$8bo30bo30bo
30bo30bo30bo4$13bo30bo30bo30bo30bo30bo$b11ob9o11b10ob8o13b9ob7o15b8ob
6o17b7ob5o19b6ob4o$b21o11b19o13b17o15b15o17b13o19b11o$b21o11b19o13b17o
15b15o17b13o19b11o$b9ob11o11b8ob10o13b7ob9o15b6ob8o17b5ob7o19b4ob6o$9b
o30bo30bo30bo30bo30bo!
This one supports periods of 174+24n

Code: Select all

x = 78, y = 51, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
8bo$9ob8o$18o$18o$13ob4o$14bo4$8bo$9ob8o$18o$18o$11o2b5o$13bo4$8bo30bo
$9ob8o14b8ob7o$18o14b16o$18o14b16o$11ob6o14b10ob5o$12bo30bo4$8bo30bo$
9ob8o14b8ob7o$18o14b16o$18o14b16o$9o2b7o14b8o2b6o$11bo30bo4$8bo30bo30b
o$9ob8o14b8ob7o16b7ob6o$18o14b16o16b14o$18o14b16o16b14o$9ob8o14b8ob7o
16b7ob6o$10bo30bo30bo4$8bo30bo30bo$9ob8o14b8ob7o16b7ob6o$18o14b16o16b
14o$18o14b16o16b14o$7o2b9o14b6o2b8o16b5o2b7o$9bo30bo30bo!
You can also make a family of sqrtgrowth wickstretchers, and a pattern that eats itself using 2 ship signals

Code: Select all

x = 28, y = 36, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
15bo$14ob13o$28o$28o$13ob14o$12bo4$13bo$14ob13o$28o$28o$28o$28o$13o2b
13o$15bo4$13bo$14ob13o$28o$28o$28o$13o2b13o$15bo4$13bo$14ob13o$28o$28o
$13o2b13o$15bo!
There is also this lone big sqrt wickstretcher with which is symmetric over D2_+2

Code: Select all

x = 14, y = 22, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
10$2b8o$b10o$3b6o$2b8o$2b8o!
Signal reactions
Here is all of the known signal reactions, reactions are differentiated by row, and rows are grouped by type of signal

Code: Select all

x = 91, y = 147, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
3$22b2o$23b3o$16b10o$16b10o4$16bo$15bobo$16bo2$18b2o$16b3o2b5o$16b10o$
16b10o3$30bo$17b2o10bobo2b2o$16b2o2b6o4bo2b2o2b6o$16b10o7b10o$16b10o7b
10o4$14bo$18bo$16b3o2b5o$16b10o$16b10o4$15bo2$14bo3bo$14bob3o2b5o$16b
10o$16b10o4$18bo2$18bo$16b3o2b5o$16b10o$16b10o4$18bo$16b3o2b5o$16b10o$
16b10o4$17bo16bo18bo$16b2o2b6o7b2o2b6o5bo3b2o2b6o$16b10o4bo2b10o4bobo
2b10o$16b10o3bobob10o3bo3bob10o$16b10o4bo2b10o4bobo2b10o$48bo3$16bo$
18bo$17b2o2b6o$17b10o$17b10o4$16bo2$15bo2bo$15bob2o2b6o$17b10o$17b10o
4$16bo$19bo$17b3ob6o$17b10o$17b10o4$16bo2$15bo3bo$15bob3ob6o$17b10o$
17b10o4$19bo$17b3ob6o$17b10o$17b10o4$16bo2$15bo2bo$15bob2ob7o$17b10o$
17b10o2$49bo$45bo2b2ob7o7bo$18bo14bo14b10o6b2ob7o$17b2ob7o5b2ob7o6b10o
6b10o$17b10o5b10o3b2ob10o3bo2b10o$17b10o5b10o22b10o$17b10o3bo16bo16b
10o10$18bo2$15bo3bo$18b2o2b6o$18b10o$18b10o$18b10o$18b10o$18b10o$18b
10o$18b10o$18b10o$18b10o!
There is a 90 degree signal reflector with rt9

Code: Select all

x = 15, y = 13, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
3bo2$o3bo8bo$3b2ob8o$3b12o$3b12o$3b12o$3b12o$3b12o$3b12o$3b12o$3b12o$
3b12o!
There is also a 3 and a 2 was splitter both with a rt 11

Code: Select all

x = 75, y = 53, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
5$41bo$40bobo$41bo$39bo3bo2$42bo$12b28o$12b28o7bo10bo$12b28o2b6ob10o2b
2o$12b28o2b21o$12b28o2b21o$12b28o2b21o3$43bo12$12b28o2bo$12b28o$12b28o
7bo10bo$12b28o2b6ob10o2b2o$12b28o2b21o$12b28o2b21o$12b28o2b21o3$43bo!
General rule stuff:
Oscillators:
Here is a list of a bunch of basic adjustable oscillators in the rule

Code: Select all

x = 442, y = 59, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
290b3o7b2o9b2o7b2o$290b12o9b11o$290b12o9b11o4$290b4o7bo9b3o7bo10b2o7bo
11bo7bo$290b12o9b11o10b10o11b9o$290b12o9b11o10b10o11b9o6$290b4o5b3o9b
3o5b3o$290b12o9b11o$290b12o9b11o4$290b5o5b2o9b4o5b2o10b3o5b2o11b2o5b2o
$290b12o9b11o10b10o11b9o$290b12o9b11o10b10o11b9o4$290b6o5bo9b5o5bo10b
4o5bo11b3o5bo12b2o5bo13bo5bo$290b12o9b11o10b10o11b9o12b8o13b7o$290b12o
9b11o10b10o11b9o12b8o13b7o10$290b5o3b4o9b4o3b4o$290b12o9b11o$290b12o9b
11o4$290b6o3b3o9b5o3b3o10b4o3b3o11b3o3b3o$290b12o9b11o10b10o11b9o$290b
12o9b11o10b10o11b9o4$290b7o3b2o9b6o3b2o10b5o3b2o11b4o3b2o12b3o3b2o13b
2o3b2o$290b12o9b11o10b10o11b9o12b8o13b7o$290b12o9b11o10b10o11b9o12b8o
13b7o$16b2o2b2o81b2o15b2o17b2o$8b2o2b2o2b2o2b2o24bo6bo3bo8bo3bo10bo18b
2o2b2o9b4o2b2o9b6o2b2o22bo15bo17bo31bo13bo15bo$2o2b2o2b2o2b2o2b2o2b2o
28bo12bo14bo18bo2b6o6bo2b8o6bo2b10o17b4ob2o7b6ob2o7b8ob2o25b4ob2o5b6ob
2o5b8ob2o$2o2b2o2b2o2b2o2b2o2b2o25b2ob3o5b4ob3o5b6ob3o15bobob6o5bobob
8o5bobob10o17b7o7b9o7b11o25b7o5b9o5b11o28b8o3bo9b7o3bo10b6o3bo11b5o3bo
12b4o3bo13b3o3bo14b2o3bo15bo3bo$2o2b2o2b6o2b2o2b2o25b6o5b8o5b10o16bo2b
6o6bo2b8o6bo2b10o17b7o7b9o7b11o25b7o5b9o5b11o28b12o9b11o10b10o11b9o12b
8o13b7o14b6o15b5o$6o2b2o2b2o2b6o25b6o5b8o5b10o76bo9bo3bo11bo3bo13bo21b
o11bo13bo40b12o9b11o10b10o11b9o12b8o13b7o14b6o15b5o!
Here nonadjustable oscillators of period 17,19,23,38,44,48,52,63,and 180

Code: Select all

x = 206, y = 37, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
6$12bo3b4o12bo3b4o12b4o3b4o9b4o3b4o9bo2bo3bo2bo9bo2bo3b4o9b4o3b4o9b4o
3b4o19bo3b4o3b5o$12bo6bo12bo3bo2bo15bo6bo12bo3bo2bo9bo2bo3bo2bo9bo2bo
3bo2bo9bo9bo9bo9bo19bo3bo2bo3bo3bo$12bo6bo12bo3bo2bo15bo6bo12bo3bo2bo
9bo2bo3bo2bo9bo2bo3bo2bo9bo9bo9bo9bo19bo3bo2bo3bo3bo$12bo6bo12bo3b4o
12b4o3b4o9b4o3b4o9b4o3b4o9b4o3b4o9b4o3b4o9b4o3b4o19bo3b4o3bo3bo$12bo6b
o12bo6bo12bo9bo12bo3bo2bo12bo6bo12bo3bo2bo12bo3bo12bo2bo6bo19bo3bo2bo
3bo3bo$12bo6bo12bo6bo12bo9bo12bo3bo2bo12bo6bo12bo3bo2bo12bo3bo12bo2bo
6bo19bo3bo2bo3bo3bo$12bo6bo12bo3b4o12b4o3b4o9b4o3b4o12bo6bo12bo3b4o9b
4o3b4o9b4o3b4o19bo3b4o3b5o11$133bo$134b4o$133b5o$14bo26bo31bo59b5o16bo
27b7o$53bobobo36bo20bo17b5o44b7o$13bo18bo26bo12bo3bo56b5obo42b7o$12bob
ob6o13bobo3bobo28bo3b3o60bo12bobo2b5o22b5o$13bo2b6o11b2o17bo10bo10b5o
13bobob6o10b3ob3o13bo2bo20b6o22b5o$16b6o11b8o11b5o17b5o17b6o10b7o15bob
o19b6o20b6o$23bo9b8o12b4o25bo13b6o10b7o16bo28bo18b5o!
Spaceships:
There are also a c/7o, c/8o, c/11o, c/6d, and c/12d ships all by Cole

Code: Select all

x = 80, y = 70, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
7$b4o6b4o6b4o4b4o5bo8bo10b5o6bo$b2o10b2o6b5o2b5o4b3o6b3o9b5o8b2o$b2o3b
4o3b2o6b3o6b3o4b3o6b3o6bo2b5o7b4o$b3o2b4o2b3o6b4o4b4o4b2o8b2o8b6o7b5o$
b2ob8ob2o6b3o6b3o4b2o8b2o8bob4o6b6o$b3ob6ob3o6b3o6b3o4b4o4b4o10b4o6bob
3o$b2ob8ob2o7bo2bo2bo2bo26bo2bo7b3o3bo$b2o3b4o3b2o23bo8bo12b2obo$6b4o
27bob8obo$6b4o30b6o$4bob4obo28b6o$5b6o29b6o$b2o10b2o25b6o$b3o2bo2bo2b
3o25b6o$b3o8b3o25b6o$b4o6b4o25b6o$b2obo6bob2o25b6o$b4o6b4o25b6o$b3o2bo
2bo2b3o24b8o$b3obob2obob3o25b6o$b2o3b4o3b2o23b10o$b2o3b4o3b2o24b8o$b2o
2b6o2b2o25b6o$b4o2b2o2b4o24bob4obo$b2o3b4o3b2o26b4o$b4ob4ob4o26b4o$b3o
2b4o2b3o27b2o$b4o2b2o2b4o26b4o$b3o8b3o24bo6bo$b5o4b5o23bobo4bobo$b4o6b
4o24bob4obo$b5o4b5o26b4o$b3obo4bob3o24bo2b2o2bo$3b2o6b2o29b2o$38bo3b2o
3bo$39bo2b2o2bo$42b2o$42b2o$39bo2b2o2bo$38bo2b4o2bo$41b4o$38bo2b4o2bo$
42b2o$41b4o$39b2o4b2o$37b2o8b2o$37b4ob2ob4o$37b2o2bo2bo2b2o$37b2obo4bo
b2o$37b2obo4bob2o$37b5o2b5o$37b3o6b3o$37b3o6b3o!
Misc:
There are a few signal injectors

Code: Select all

x = 36, y = 60, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
3bo$2bobo$3bo2$2bo$bobob10o$2bo2b10o$5b10o7$4bo2$4bo$4b2o$b21o$b21o$b
21o$b21o10$18bo3$b17ob17o$b35o$b35o13$11bobo$14b8o$13b9o$12b10o$13b9o$
11b11o$12b10o$12b10o$12b10o$12b10o$12b10o!
Lastly there is a lone c/8o wickstretcher

Code: Select all

x = 10, y = 27, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
3o4b3o$3o4b3o$4o2b4o$2o6b2o$2o6b2o$2obo2bob2o$3o4b3o$3o4b3o$2o2b2o2b2o
$3o4b3o$3o4b3o$3o4b3o$3o4b3o$3o4b3o$3o4b3o$3o4b3o$3o4b3o$3o4b3o$3o4b3o
$3o4b3o$3o4b3o$3o4b3o$3o4b3o$3o4b3o$3o4b3o$3o4b3o$3o4b3o!

Code: Select all

x = 4, y = 3, rule = B3-cnqy4e5kr6n7c/S2-i3-ay4einrtyz5cejn6cin78
bo$3o$ob2o!

Code: Select all

#14c/85265o
x = 10, y = 4, rule = B2-an3-iqy4iknrtz5aijqy6aei78/S02ck3nqy4eiqrtwy5-ekq6-i78
2b6o$ob6obo$3b4o$2bo4bo!

User avatar
H. H. P. M. P. Cole
Posts: 375
Joined: July 15th, 2023, 9:36 pm

Re: NimbleRogues Cellular Automata

Post by H. H. P. M. P. Cole » January 11th, 2025, 9:14 pm

NimbleRogue wrote:
January 11th, 2025, 6:35 pm
Rule # 9 Cornucopia
[...]
The "c/6d ship" is actually c/7d.

Actually, the c/8o wickstretcher is part of an adjustable family (c/(8+4n)o):

Code: Select all

x = 66, y = 28, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
54b4o4b4o$54b5o2b5o$54b3o6b3o$54b4o4b4o$36b4o4b4o6b4o4b4o$36b5o2b5o6b
4o4b4o$36b3o6b3o6b4o4b4o$36b4o4b4o6b4o4b4o$18b4o4b4o6b4o4b4o6b4o4b4o$
18b5o2b5o6b4o4b4o6b4o4b4o$18b3o6b3o6b4o4b4o6b4o4b4o$18b4o4b4o6b4o4b4o
6b4o4b4o$4o4b4o6b4o4b4o6b4o4b4o6b4o4b4o$5o2b5o6b4o4b4o6b4o4b4o6b4o4b4o
$3o6b3o6b4o4b4o6b4o4b4o6b4o4b4o$4o4b4o6b4o4b4o6b4o4b4o6b4o4b4o$3o6b3o
6b3o6b3o6b3o6b3o6b3o6b3o$3o6b3o6b3o6b3o6b3o6b3o6b3o6b3o$5o2b5o6b5o2b5o
6b5o2b5o6b5o2b5o$4o4b4o6b4o4b4o6b4o4b4o6b4o4b4o$3o2b2o2b3o6b3o2b2o2b3o
6b3o2b2o2b3o6b3o2b2o2b3o$4o4b4o6b4o4b4o6b4o4b4o6b4o4b4o$4o4b4o6b4o4b4o
6b4o4b4o6b4o4b4o$4o4b4o6b4o4b4o6b4o4b4o6b4o4b4o$4o4b4o6b4o4b4o6b4o4b4o
6b4o4b4o$4o4b4o6b4o4b4o6b4o4b4o6b4o4b4o$4o4b4o6b4o4b4o6b4o4b4o6b4o4b4o
$4o4b4o6b4o4b4o6b4o4b4o6b4o4b4o!
Each of them can be made into quadratic growth patterns. Here is a quadratic growth pattern growing at c/8o on all orthogonal axes:

Code: Select all

x = 32, y = 32, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
10b4o4b4o$10b5o2b5o$10b3o6b3o$10b4o4b4o$10b3o6b3o$10b3o6b3o$10b5o2b5o
$10b4o4b4o$10b3o2b2o2b3o$10b4o4b4o$14o4b14o$14o4b14o$14o4b14o$2obo2b2o
b5o4b5ob2o2bob2o$bo4bo18bo4bo$8bo14bo$8bo14bo$bo4bo18bo4bo$2obo2b2ob5o
4b5ob2o2bob2o$14o4b14o$14o4b14o$14o4b14o$10b4o4b4o$10b3o2b2o2b3o$10b4o
4b4o$10b5o2b5o$10b3o6b3o$10b3o6b3o$10b4o4b4o$10b3o6b3o$10b5o2b5o$10b4o
4b4o!
And here is a similar one growing at c/16o:

Code: Select all

x = 52, y = 52, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
20b4o4b4o$20b5o2b5o$20b3o6b3o$20b4o4b4o$20b4o4b4o$20b4o4b4o$20b4o4b4o
$20b4o4b4o$20b4o4b4o$20b4o4b4o$20b4o4b4o$20b4o4b4o$20b3o6b3o$20b3o6b3o
$20b5o2b5o$20b4o4b4o$20b3o2b2o2b3o$20b4o4b4o$20b4o4b4o$20b4o4b4o$24o4b
24o$24o4b24o$24o4b24o$2ob9o2b2ob7o4b7ob2o2b9ob2o$bo12bo22bo12bo$16bo18b
o$16bo18bo$bo12bo22bo12bo$2ob9o2b2ob7o4b7ob2o2b9ob2o$24o4b24o$24o4b24o
$24o4b24o$20b4o4b4o$20b4o4b4o$20b4o4b4o$20b3o2b2o2b3o$20b4o4b4o$20b5o
2b5o$20b3o6b3o$20b3o6b3o$20b4o4b4o$20b4o4b4o$20b4o4b4o$20b4o4b4o$20b4o
4b4o$20b4o4b4o$20b4o4b4o$20b4o4b4o$20b4o4b4o$20b3o6b3o$20b5o2b5o$20b4o
4b4o!
There is also a c/9o:

Code: Select all

x = 14, y = 50, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
2bo8bo$3b3o2b3o$b5o2b5o$2b4o2b4o$3b3o2b3o$4b2o2b2o$bobo6bobo$5b
4o$5b4o$4b6o$4b6o$4b6o$5b4o$3bob4obo$2bob6obo$2obo2b2o2bob2o$3o3b
2o3b3o$4obo2bob4o$5o4b5o$4o2b2o2b4o$5o4b5o$4o6b4o$5o4b5o$4o6b4o$
4o6b4o$3o8b3o$4o6b4o$4o6b4o$6o2b6o$3o3b2o3b3o$4obo2bob4o$2o4b2o4b
2o$6b2o$2b2ob4ob2o$5b4o$5b4o$5b4o$3o2b4o2b3o$14o$3o3b2o3b3o$4o2b
2o2b4o$4b6o$bo3b4o3bo$5b4o$5b4o$5b4o$5b4o$5b4o2$5bo2bo!
And c/12o:

Code: Select all

x = 12, y = 32, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
4o4b4o$4o4b4o$4o4b4o$4o4b4o$4o4b4o$3o6b3o$4ob2ob4o$3obo2bob3o$3o6b3o$
3o6b3o$4o4b4o$4o4b4o$3o2b2o2b3o$4o4b4o$4ob2ob4o$3o6b3o$2obo4bob2o$3o6b
3o$3o6b3o$3o6b3o$3o6b3o$3o6b3o$3o6b3o$3o6b3o$3o6b3o$3o6b3o$3o6b3o$4o4b
4o$bo2b4o2bo$4b4o$4b4o$4b4o!
Last edited by H. H. P. M. P. Cole on January 12th, 2025, 2:23 am, edited 1 time in total.
Harfordson Parker-Cole

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wirehead
Posts: 281
Joined: June 18th, 2022, 2:37 pm
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Re: NimbleRogues Cellular Automata

Post by wirehead » January 12th, 2025, 12:44 am

FWKnightship wrote:
December 7th, 2023, 6:17 am
P13+n in Turncoat:

Code: Select all

x = 79, y = 23, rule = B2e3aeij4cj5k6c/S2-ci3-a4-ajrwz5-y67
76bobo$76b3o$bobobobob2ob2obobobo2bobobobobobobobobobobobobobobobobobo
2bobobobobob2ob2o$b3ob3obo2bo2b3ob4ob3ob3ob3ob3ob3ob3ob3ob3ob4ob3ob3ob
o2bo3b3o$5bobob2ob2obobobo2bobobobobobobobobobobobobobobobobobo2bobobo
bobob2ob2o2bobo$bobo$b3o54b2o4b3o$59b2o5bo$bobo54b2o4b3o$b3o$9b2obobob
obobobobobobobobobobobobobobobobobobobobobobobobobob2o5bobo$b3o6bob3ob
3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3ob3obo6b3o$bobo5b2obobobobobobobobob
obobobobobobobobobobobobobobobobobobobob2o$75b3o$75bobo2$75b3o$75bobo$
obo2b2ob2obobobobobo2bobobobobobobobobobobobobobobobobobo2bobobob2ob2o
bobo$3o3bo2bob3ob3ob4ob3ob3ob3ob3ob3ob3ob3ob3ob4ob3o2bo2bob3ob3o$5b2ob
2obobobobobo2bobobobobobobobobobobobobobobobobobo2bobobob2ob2obobobobo
$3o$obo!
I made a combination splitter and ANDNOT gate out of this:

Code: Select all

x = 58, y = 138, rule = B2e3aeij4cj5k6c/S2-ci3-a4-ajrwz5-y67History
44.2A.2A.2A.2A.2A$45.A2.A2.A.A2.A$44.2A.2A.2A.2A.2A2$39.A.A.11B.3A$39.
3A.11B2.A$43.11B.3A$39.A.A.3B5.3B$39.3A.3B.A.A.3B.A.A$43.3B.3A.3B.3A$
39.3A.3B5.3B$40.A2.3B.3A.3B.A.A$39.3A.3B2.A2.3B.3A$43.3B.3A.3B$39.3A.
3B5.3B.A.A$40.A2.3B.3A.3B.3A$40.A2.3B2.A2.3B$39.3A.3B2.A2.3B.A.A$43.3B
.3A.3B.3A$39.3A.3B5.3B$40.A2.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B
$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.
A$39.3A.3A.3A.3B.3A$43.ABA5.3B$39.A.A.ABA.A.A.3B.A.A$39.3A.3B.3A.3B.3A
$43.3B5.3B$39.3A.3B.3A.3B.3A$40.A2.3B2.A2.3B2.A$39.3A.3B.3A.3B.3A$43.
3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A
.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.
3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A
.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.
3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B
5.ABA$39.A.A.3B.A.A.ABA.A.A$39.3A.3B.3A.3A.3A$43.3B5.3B$39.A.A.3B.A.A
.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.
3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A
.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.
3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B
5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B
.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.
3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.
3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.
3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B
$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.
A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$
43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.
A.A.3B.A.A$39.3A.3B.3A.3B.3A$43.3B5.3B$39.A.A.3B.A.A.3B.A.A$39.3A.3B.
3A.3B.3A$43.3B5.3B$39.3A.3B.3A.3B.3A$39.A.A.3B.A.A.3B.A.A$A.A.A.A.2A.
2A.A.A.A2.A.A.A.A.A.A2.A.2A5.3B5.3B$3A.3A.A2.A2.3A.4A.3A.3A.4A.A2.5BA
BA7B.3A$4.A.A.2A.2A.A.A.A2.A.A.A.A.A.A2.A.2A.4B3A8B2.A$A.A36.5BABA7B2.
A$3A.21B2D19B9.3A$4.22B2D18B.2A.A2.A$3A.21B2D14B7.A.4A.3A$A.A.3B31.3B
.A.A2.2A.A2.A.A.A$4.3B.2A.A.A.A.A.A.A.A.A.A.A.A.A.2A.3B.3A$3A.3B2.A.3A
.3A.3A.3A.3A.3A.A2.3B$A.A.3B.2A.A.A.A.A.A.A.A.A.A.A.A.A.2A.3B.3A$4.3B
31.3B2.A$3A.24B2A11B.3A$A.A.23B2A12B$4.24B2A11B.3A$42.A.A$4.2A.2A.A.A
.A.A.A2.A.A2.A.A.A.2A.2A.A.A$5.A2.A.3A.3A.4A.4A.3A2.A2.A.3A.3A$4.2A.2A
.A.A.A.A.A2.A.A2.A.A.A.2A.2A.A.A.A.A!
So therefore, this rule is Turing-complete.
Langton's ant: Can't play the drums, can be taught.

vilc
Posts: 144
Joined: March 20th, 2024, 4:36 pm

Re: NimbleRogues Cellular Automata

Post by vilc » January 12th, 2025, 10:22 am

c/10o spaceship in Cornucopia :

Code: Select all

x = 14, y = 42, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
2bob2o2b2obo$3b3o2b3o$3b3o2b3o$4b2o2b2o2$3o8b3o$4o2b2o2b4o$4o6b4o$4o6b
4o$5ob2ob5o$3o8b3o$3o8b3o$4o6b4o$4o2b2o2b4o$3o8b3o$2o3bo2bo3b2o$3o8b3o
$3o8b3o$3o8b3o$3o8b3o$3o3b2o3b3o$3obob2obob3o$2o3b4o3b2o$4ob4ob4o$3o2b
4o2b3o$3o3b2o3b3o$3o3b2o3b3o$3o2bo2bo2b3o$3o3b2o3b3o$3o3b2o3b3o$3o2b4o
2b3o$2o2bob2obo2b2o$2o3b4o3b2o$2o3b4o3b2o$3o2bo2bo2b3o$3o3b2o3b3o$4o6b
4o$2o10b2o$2o10b2o$2o3bo2bo3b2o$3o8b3o$3o8b3o!
Edit :
Another c/11o.

Code: Select all

x = 12, y = 56, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
3bob2obo$4b4o$4b4o$4b4o$4b4o2$b2o6b2o$b3o4b3o$b3o4b3o$b3o4b3o$b4o2b4o$
b2o6b2o$b2ob4ob2o$b3o4b3o$3bo4bo$2bo6bo2$2b8o$b3ob2ob3o$b3o4b3o$b4o2b
4o$b10o$b4o2b4o$b4o2b4o$b4o2b4o$b4o2b4o$b4o2b4o$b10o$b4o2b4o$b3ob2ob3o
3$3bo4bo$3o6b3o$3o6b3o$5o2b5o$4o4b4o$4ob2ob4o$4o4b4o$5o2b5o$3obo2bob3o
$3o6b3o$4o4b4o$2obo4bob2o$2o8b2o$2o8b2o$2o2bo2bo2b2o$3o6b3o$5o2b5o$2o
3b2o3b2o$2o2bo2bo2b2o$4o4b4o$3o6b3o$bo8bo$3bo4bo$3bo4bo!
This simulates a 1D rule, W102 with a right shift at every generation if I am correct.

Code: Select all

x = 71, y = 6, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
71o$71o$2bobo3bo3bo5bo3bo3bobo5bobo3bo3bo5bo3bo3bobo$2bobo3bo3bo5bo3bo
3bobo5bobo3bo3bo5bo3bo3bobo$71o$71o!
This should allow to find many oscillator periods (the above is a p112).
Edit 2: Known, nevermind.
Edit 3: A c/4d which doesn't look like other spaceships in this rule (the fastest speed so far) :

Code: Select all

x = 18, y = 18, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
7bo$5bo2bo$2b3ob2o2bobo$2b5o2bo3bo$2b3o2b2obo3bo$bobob3o4b2obo$2b2ob2o
7bobo$obob2o3bo7bo$bo2bo3bo$3bo3bo6bo$2bobo2$2bo2bo$3bobo$4bobo2bo$5bo
$6bo$7bo!
Edit 4:
A c/4o spaceship and wickstretchers from LLSSS :

Code: Select all

x = 108, y = 63, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
44bo8bo$42b2ob2o4b2ob2o$6bo8bo23b3o2bo2b4o2bo2b3o$4b2ob2o4b2ob2o21b4o
3b6o3b4o$b3o2bo2b4o2bo2b3o18b2o7b2o7b2o$b4o3b6o3b4o18b2obo3bob2obo3bob
2o$b2o7b2o7b2o18b3o2bo2b4o2bo2b3o$b2obo3bob2obo3bob2o18b2o6bo2bo6b2o
33bo8bo$b3o2bo2b4o2bo2b3o18b3ob2o3b2o3b2ob3o32bobo6bobo$b2o6bo2bo6b2o
18bob2ob2o6b2ob2obo28b4o3b6o3b4o$b3ob2o3b2o3b2ob3o18b4ob2o6b2ob4o28b3o
5b4o5b3o$bob2ob2o6b2ob2obo18b4o3bo4bo3b4o28b2o7b2o7b2o$b4ob2o6b2ob4o
17b8obo2bob8o27b4o3b6o3b4o$b4o3bo4bo3b4o17b5o3bob2obo3b5o27b2o3bo3b2o
3bo3b2o$8obo2bob8o16b6o3bo2bo3b6o27b2o16b2o$5o3bob2obo3b5o16b6o2b2o2b
2o2b6o27b2o4bo2b2o2bo4b2o$6o3bo2bo3b6o16b4o2b2ob4ob2o2b4o27b4ob2o6b2ob
4o$6o2b2o2b2o2b6o16b4o3b8o3b4o28b3ob2o6b2ob3o$4o2b2ob4ob2o2b4o16b2o5b
8o5b2o28b3o12b3o$4o3b8o3b4o17bo5b8o5bo27b5o2bo6bo2b5o$2o5b8o5b2o18bo2b
ob8obo2bo28b7obob2obob7o$bo5b8o5bo19b3ob10ob3o28b6obo6bob6o$2bo2bob8ob
o2bo21b3ob8ob3o29b6o2bo4bo2b6o$2b3ob10ob3o21b3ob8ob3o29b5o4b4o4b5o$3b
3ob8ob3o20b5ob8ob5o27b4obo2b6o2bob4o$3b3ob8ob3o20bob3ob8ob3obo27b3o4b
8o4b3o$b5ob8ob5o19b4ob8ob4o30b4ob8ob4o$bob3ob8ob3obo21bo2b8o2bo32bo3b
10o3bo$2b4ob8ob4o23b12o33b3o2b8o2b3o$4bo2b8o2bo26b10o35b3ob8ob3o$5b12o
27b10o33b5ob8ob5o$6b10o28b10o34b4ob8ob4o$6b10o26bo2b8o2bo32b4ob8ob4o$
6b10o24bo3b10o3bo29bo2b2ob8ob2o2bo$7b8o23b3o2bo2b6o2bo2b3o31bob8obo$5b
12o21b3ob2o3b4o3b2ob3o32b10o$6b10o22b3ob2o2b6o2b2ob3o32b10o$6b10o22b3o
b2ob8ob2ob3o30bo2b8o2bo$6b10o22b3ob2ob8ob2ob3o28b2o3b8o3b2o$7b8o23b3ob
2ob8ob2ob3o26b2o4b10o4b2o$5b12o21b3ob2ob8ob2ob3o26b4o4b6o4b4o$6b10o22b
3ob2ob8ob2ob3o26b2ob2o4b4o4b2ob2o$6b10o22b3ob2ob8ob2ob3o26b2ob2o4bo2bo
4b2ob2o$6b10o22b3ob2ob8ob2ob3o26b2ob2o5b2o5b2ob2o$7b8o23b3ob2ob8ob2ob
3o26b2ob2obo3b2o3bob2ob2o$5b12o21b3ob2ob8ob2ob3o26b2ob2ob2obo2bob2ob2o
b2o$6b10o22b3ob2ob8ob2ob3o26b2ob2ob2o6b2ob2ob2o$6b10o22b3ob2ob8ob2ob3o
26b2ob2o2bobo2bobo2b2ob2o$6b10o22b3ob2ob8ob2ob3o29b2o2bo6bo2b2o$7b8o
23b3ob2ob8ob2ob3o28bo3bo8bo3bo$5b12o21b3ob2ob8ob2ob3o$6b10o22b3ob2ob8o
b2ob3o$6b10o22b3ob2ob8ob2ob3o$6b10o22b3ob2ob8ob2ob3o$7b8o23b3ob2ob8ob
2ob3o$5b12o21b3ob2ob8ob2ob3o$6b10o22b3ob2ob8ob2ob3o$6b10o22b3ob2ob8ob
2ob3o$6b10o22b3ob2ob8ob2ob3o$7b8o27b2ob8ob2o$42b2ob8ob2o$45b8o$45b8o!
Edit 5:
Some more c/4o wickstretchers from ikpx2 using the same frontend, and a c/5o one from LLSSS.

Code: Select all

x = 160, y = 59, rule = B2c3acj4ak5aj/S01e2cn3aij4air5aijq6ac78
37bo8bo54bo8bo$36bobo6bobo21bo8bo21bobo6bobo$6bo8bo16b4o3b6o3b4o16bobo
6bobo16b4o3b6o3b4o$5bobo6bobo15b3o5b4o5b3o12b4o3b6o3b4o12b3o5b4o5b3o$b
4o3b6o3b4o11b2o7b2o7b2o12b3o5b4o5b3o12b2o7b2o7b2o$b3o5b4o5b3o11b4o3b6o
3b4o12b2o7b2o7b2o12b4o3b6o3b4o$b2o7b2o7b2o11b2o3bo3b2o3bo3b2o12b4o3b6o
3b4o12b2o3bo3b2o3bo3b2o$b4o3b6o3b4o11b2o16b2o12b2o3bo3b2o3bo3b2o12b2o
16b2o$b2o3bo3b2o3bo3b2o11b2o4bo2b2o2bo4b2o12b2o16b2o12b2o4bo2b2o2bo4b
2o$b2o16b2o11b4ob2o6b2ob4o12b2o4bo2b2o2bo4b2o12b4ob2o6b2ob4o$b2o4bo2b
2o2bo4b2o12b3ob2o6b2ob3o13b4ob2o6b2ob4o13b3ob2o6b2ob3o$b4ob2o6b2ob4o
12b3o12b3o14b3ob2o6b2ob3o14b3o12b3o$2b3ob2o6b2ob3o11b5o2bo6bo2b5o12b3o
12b3o12b5o2bo6bo2b5o$2b3o12b3o11b7obob2obob7o10b5o2bo6bo2b5o10b7obob2o
bob7o$5o2bo6bo2b5o9b6obo6bob6o10b7obob2obob7o10b6obo6bob6o$7obob2obob
7o9b6o2bo4bo2b6o10b6obo6bob6o10b6o2bo4bo2b6o$6obo6bob6o9b5o4b4o4b5o10b
6o2bo4bo2b6o10b5o4b4o4b5o$6o2bo4bo2b6o9b4obo2b6o2bob4o10b5o4b4o4b5o10b
4obo2b6o2bob4o$5o4b4o4b5o9b3o4b8o4b3o10b4obo2b6o2bob4o10b3o4b8o4b3o$4o
bo2b6o2bob4o11b4ob8ob4o12b3o4b8o4b3o12b4ob8ob4o31bo4bo$3o4b8o4b3o11bo
3b10o3bo14b4ob8ob4o14bo3b10o3bo28bo3b4o3bo$2b4ob8ob4o13b3o2b8o2b3o14bo
3b10o3bo14b3o2b8o2b3o31b6o$2bo3b10o3bo14b3ob8ob3o15b3o2b8o2b3o15b3ob8o
b3o24b3o2bob8obo2b3o$2b3o2b8o2b3o12b5ob8ob5o14b3ob8ob3o14b5ob8ob5o22b
4ob12ob4o$3b3ob8ob3o14b4ob8ob4o13b5ob8ob5o13b4ob8ob4o23b3o2b12o2b3o$b
5ob8ob5o12b4ob8ob4o14b4ob8ob4o14b4ob8ob4o23b4o4b6o4b4o$2b4ob8ob4o12bo
2b2ob8ob2o2bo13b4ob8ob4o13bo2b2ob8ob2o2bo22b3o5b6o5b3o$2b4ob8ob4o16bob
8obo16bo2b2ob8ob2o2bo16bob8obo26b4obobo2b2o2bobob4o$bo2b2ob8ob2o2bo16b
10o21bob8obo21b10o27b3o5bob2obo5b3o$5bob8obo20b10o22b10o22b10o27bobobo
4b4o4bobobo$6b10o22b8o23b10o23b8o28bo7b6o7bo$6b10o23b6o25b8o25b6o30bo
4b10o4bo$7b8o23b8o25b6o25b8o31b16o$8b6o25bob2obo25b8o25bob2obo29bo3b
14o3bo$7b8o56bob2obo61bo2b16o2bo$8bob2obo26bo2bo60bo2bo32b18o$38b3o2b
3o26bo2bo26b3o2b3o30b18o$9bo2bo24b2o2b2o2b2o23b3o2b3o23b2o2b2o2b2o29b
18o$7b3o2b3o22b2o2b2o2b2o22b2o2b2o2b2o22b2o2b2o2b2o29b18o$6b2o2b2o2b2o
21b2obo2bob2o22b2o2b2o2b2o22b2obo2bob2o29b18o$6b2o2b2o2b2o53b2obo2bob
2o61b18o$6b2obo2bob2o24bo2bo25b2o6b2o25bo2bo32b18o$6b2o6b2o23bob2obo
24b2o2b2o2b2o24bob2obo31b18o$6b2o6b2o20b3ob4ob3o21b2o6b2o24b6o31b18o$
6b2o6b2o20b4ob2ob4o21b2obo2bob2o26b2o33b18o$6b2o6b2o20b3o6b3o21b2o2b2o
2b2o23bob4obo30b18o$6b2o6b2o20b3o6b3o21b2obo2bob2o23b8o30b18o$6b2o6b2o
20b4o4b4o21b2o6b2o23b8o$6b2o6b2o20b2o2bo2bo2b2o21b2obo2bob2o23b8o$36b
2o8b2o21b2o2b2o2b2o23b8o$36b2obo4bob2o21b2o2b2o2b2o23b8o$36b2obo4bob2o
21b2o6b2o23b8o$36b2o8b2o21b2o2b2o2b2o23b8o$36b2o8b2o21b2o6b2o$36b2o8b
2o$36b2o8b2o$36b2o8b2o$36b2o8b2o$36b2o8b2o!

User avatar
hibiscus
Posts: 172
Joined: August 26th, 2023, 3:30 am

Re: NimbleRogues Cellular Automata

Post by hibiscus » January 13th, 2025, 1:56 am

Last night I submitted 47 hauls to the D8_1 symmetry in MoshPit to Catagolue because I forgot to turn my computer off.
Here's a new p10:

Code: Select all

x = 23, y = 23, rule = MoshPit
11.A3$11.A$9.A3.A5$4.A13.A2$A2.A15.A2.A2$4.A13.A5$9.A3.A$11.A3$11.A!

Code: Select all

#C [[ ZOOM 8 TRACK -3/87 -1/87 ]]
x = 4, y = 5, rule = B35ay/S2-i3-e4ey5j
2bo$b2o$2obo$bobo$2b2o!

User avatar
FWKnightship
Posts: 1551
Joined: June 23rd, 2019, 3:10 am
Location: Hey,wait!! Where am I!? Help! Somebody help!I'm lost!!

Re: NimbleRogues Cellular Automata

Post by FWKnightship » January 14th, 2025, 4:15 am

Cfind found a series of extensible c/2 in MoshPit:

Code: Select all

x = 19, y = 34, rule = MoshPit
4.B$3.3A$B.A.A.A.B$2B2.B2.2B$2.A3.A$B7.B$B7.B7$4.B4.B$3.3A2.3A$B.A.A.
2A.A.A.B$2B2.B4.B2.2B$2.A3.2A3.A$B12.B$B4.B2.B4.B8$4.B4.B4.B$3.3A2.3A
2.3A$B.A.A.2A.A.2A.A.A.B$2B2.B4.B4.B2.2B$2.A3.2A3.2A3.A$B17.B$B4.B2.B
.B2.B4.B!
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.

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