For discussion of other cellular automata.
GUYTU6J
Posts: 1217
Joined: August 5th, 2016, 10:27 am
Location: 拆哪！I repeat, CHINA!
Contact:

Is this kind of random thing discovered before?

Code: Select all

x = 4985, y = 48, rule = B2i3i6i/S03i
4196bobo16$2282bobo3b2o7b2o2bo6bobo$2277bo2bobo4bobo3bo3b3o3b2obo5bo$2279bo3b3o2b4o2bo5b3obob4obo$2275bobo3bobo2b2o3bo2b4o3b2o9bo$2279bo2b 2o6bobo2b4o2bo4bo2bobo$2276bob3o3bo4b5o2b2obob2o4bo3b3o$2278bob2o4b2ob 2o2bo6b2o8bo$2277bo3b3o12bobo3b5o$2278b2ob2o7bobo2bobobo6bo2bob3o$
2277bo3bob3obo5bob2ob5obo5bo2bo$2277b3ob3o5bo2b4o2bo2b3o2b2obo2b2o$
2202bo4b2obo4bob3obo2bob5obob2o2b3o2b5o3bo3bo2bobo2b3o2bo2bo2bobo2bo2b
o2bo3bobobo2b2o2bo2b6o5bo7b3obo3bobo2bobob4o2bobo2bo7bo2bobobo3bo2bob
2o4bo4bo6bobo2bo3bob2o4b2o3b3o3bo2b4o3b2obobob3obobobobo5bo8b6ob3ob2o$2205bo4b2o2bob4o5bob2obobobobobobo2b2o2bo2bo5b2ob2o4b3o2b3ob4o2b5obo2b 2ob3o3b2obob2o3bob2o3bob3ob2obob2o3bo5bobo2bob2ob8obo2b4o3bob3o5b3o4bo 4b6o4b2o4bobobobo3bo6bo3bo3bo6bo2bo5bo3b2ob4ob4o4bobo3bobo$2201bo3b3ob
2ob2o2bo3b2o4bobo6b2ob3obobobobo3bo3bobo2bobo3bobob2o2b2o3bobo2b2o2b2o
2b3ob2o2bo6bo2b2ob2o2bob4ob3ob2ob2ob2obob3ob5ob2o2bo3bo5bo3bo3b6o3b2ob
2o3b5o2b6obob2obo2bob2o2b2o5bo2bo4bobo3b2o5bobob4obo2bo3b2obobo4bo2bo$2201bobobob2obo3b2o2bo7b2obobo4b2obobo4bobob3o8bo3bo2bo2b3o4bob2obob2o 2b2o5bo2b6o2bo5bo2b2o3b3obob4obo5b2o3bob2obobo6bo4b2obo2bo3bo2bo5bo3bo 2bo2bo6bobo2bob2o6bob4o6b4o2b2ob3ob2o2bo16bobob2o3bo2b3o$2202bo3b6o2b
2obobobo4bo3b2o5bob3o7bo2b2obo6b2ob5obo4b4obobo8bob3o2b2obobo3b2obo3bo
bob3o5bo2bobo2b4o2bobobobobobobob2obo4bo3b2o3bobobo6bo3bob2o3bo6bo2b2o
b2o3b2o3bo5b3o2bob2o2bo4bo2bo4bob3o7bo3b2o3b2o2bo$2203bob2o5b4obob2o2b 2o4bo8bo4bo12b3o2bobobo2bobo2bo4b4ob4o2bo2bo3bobobo2bo5b3o3b3o4bobob3o 3bo3bo5b3o2bobobobo6b3obob2o3bobob2obo4bo3bo4b2ob3ob2ob2o2bo4b2o2b3obo 2bobo3bo3bo2b2o6b7o2b5o2bo4b2o2b3ob2o$2206b2obob3o3bo3bo4bo3bob3o2b3o
2bobo8b2o2bobo3bo3b2o4b3ob3o3bo6bo5b3o3b3obo9b3obo2bo5bo7b2obob3o2bob
3o4b2o2bobob3o2bo2b6obo2bobobo4b3obobo6bo4b2ob2o6bo2bobobob2obo2bo3bob
2o6b2o2b7obo2bob2o2b3obo$2201bo4b2obo3bob4o2bo3bo2bobo12bob3o5b3o7bobo 3bo2bo3bo4b2obob5obo2bo2b3o3bo3b2o2b2obobo4bo2bobo2bo3bo2b3o5bobo6bo2b o3bobo5bo4b2ob3o4b3o5bo7b2obo3bo2bob2o2bo5bobo5b2o2bo2bob2o3bo3b5o5bo 2bo5bo2bo2bo$2206bobo4b3o2bobobo3b2o2bobo2b3obobobo3b3obobob2obob4obo
3b4ob3o2bo5bobo11bo4bo3bob3obo4b2ob2o3b2obo2bo3bo5bob2o2bo2bobo2b4o2b
3o2bo2bobo7b2o6bo7bo5b2o4bo3b2o2bo2bobobobobobo2b2o2bo2bo4bo2b2obo5bo
16bo$2202b2o6bo3bo3bob3o2b2ob4obo7bo2bo3b2o2bo2b3o2bobob2o2bo2bo3b2ob 2ob3obo2bobobo6bo6b2ob2o4bobob2o3b3obo8bo5bo2bobo3bo2bo2bob3ob3o2bo2b 2o7b2o2b4o3b3o2bo2b2o3bo4bo2bobo5b2obobo3b3o2bob2ob7o5bobob2o2bobo6bob 2o$2204bo4b2o2bob3o3bobo4b2obo3b5obo2bo5bo4bo2b2o2b6ob3o2b2ob2obo2b2o
5b2obobo3bo16bo2bo2b2o5bo2b2ob2o5b4obo2b6o9bo2b2obo4bob2o2b2o3b2o2bo6b
5o4b3ob4obo5b2obob2ob2o2bob4o3bo3bob2o2bo2bobo4bo8b2o$2201bo2bobo2bo3b 2obo2bo2b6o4b2ob2o5bo4bo5bo5b2o3bo2b3obobo2b2ob2ob2o5bobo6b5o3bo2bo4bo b4obob3ob2ob2obob2o4bobob3obobo4b4o5bo3b3obo2b2ob3o2b2obo3b2o2bo4bo7bo b5ob2o4b2obo2bobo2b5o4bo2bob2o2bo11bobo6b3o$2202bob2obobo4b3o2bo2bobob
2o4b3o3b2o6bo2b3obo4bobo6bo2b2o3bo4bo3b5o2b4o4bo2bo3b2ob2o2bobobo2b4o
3bo2bobo2bo4bo2b2o2bobob2obob2o5b4obo5b2o2bo2bo10bo2bo3bo2bob2o5bo4bob
ob4o6b3o5bo7bo6bobo3b2obo2bo8bo$2202b2o4bobo2b3obo2b2o2b2o2b3o2bo6bo6b o5bo2bobo2b2o2b4o3bo4bo2b2o4b2obo6bo3b2ob5obob2o3bobobo6b2o2bobo6bo3b 2o5bo2b2o3b2ob2obo5b2o7bob2o11bob3o6bo2b2o3bobo3bo4b2ob2o2bobo7bo6b2o 6bo2bo6bobo3bo$2206b2obob4ob3ob3o2bo3b3o2bob2ob3obo6bobo2bo7bo3bob2o5b
o4bo6bo2b2o4bo6b2o2bobo4bobo6bobobo2bo3bo3bo7b2ob3obo6b5o2bobobo2b3ob
3o3b2obo2bob2o3bo2bo3b4obobo4bobob3o2bo2bobo2bobob2o2b2o3bo2bob2o2bobo
2bo3bo4bobobo$2202b2obob2o2b2o3b3o2b2o4bo3bob2o4b2o3bo4bo4b4o7b2o4bo3b 2obob5obo4b4obo2b2o6bo2bob5o4b3o2bo2b2o2bobob2o3bo2b3o6bobo3bo2b5obobo 6bo3bo4bo2b2obo5bobo2b2o3bob4ob2obo4bobo3b2o2b3obo2bobo5b3ob2o2b4obo2b obo2bob3o$2201b2o8b2o12bob2o3b3obo3b2obobobo5bob3o2b2ob3obobob4o2b2o3b
o3bo2bo3b2o3b3o4b4o3bo2b2obo2bo6bo3b4o2bobo2bo5bo2b2o2b3ob2o2bob2ob3ob
3obobo3b2obo2b3obo4bo3bobob2o2bobo4bo4bobo2b2o3b2o6bo2b4o3b2o3bobo3b3o
2b4o3bo$2202b4o5b2ob3obo2b2obo6b5o4bo4b2o2b2o2bob2o2b4o2bo2b2o9bo2b2o 3b2obo10b2o3b2o3b3ob2obo4bobo2b3obo3bo2b2o3bo6bo2b3o2b2obob3ob3o6b2o3b 2o2b2obob2o6bobob2obob7o4bo2bo3bobob2obo2bo2bo3b2obobo2bo3b2o2bob2o5bo bo3bo$2201bobobo2bo5bo3b4o4bobo6bob3obo6bo2bo2b2o3bo2bo4bo5bobo6bo11b
3o2b3ob4obo3b2obobobobobo3b3ob2obo3bo4b2ob3o4b2o2b2obo2bo2bobob2obobob
2ob4o3bobobob3o2b3o4bobob2ob3o4bo4b2o2b3o3bo2bobo5b2o4b3ob3o4bobo6bobo
2$obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob 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obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob obobobobobobobobo!  Lifequote: Chuangtse wrote: What we love is the mystery of Life. What we hate is corruption in death. But the corruptible in its turn becomes mysterious life, and this mysterious life once more becomes corruptible. GUYTU6J Posts: 1217 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! Contact: ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL After about 12900 generations,the puffer stops puffing and results in a (high-period?) spaceship. Code: Select all x = 1000, y = 8, rule = B2i3i6i/S03i:T1000,0 1000o2$bobo3b2o3b2o3bob2o2b2o10bo3b3obo2b2obobo2b2o2bobo2b2ob3ob2obob
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3bo6b2o5bo2b2o10b5obo2bo2b2o2b2o2b2ob2o2bo4b2o8bo7bo2bo$3bob2o3bo2b3o 4b2o2bobo2bobo5bo5b2o2bobo4b2obo2bob2obo2bo2bo2b4o2bo3bo3b3obo6bobo4bo 2bobo4bo4bo2bo4b7ob3o2b3o4b2o3bob2obo3bobobo3b2o7bob4ob2obo7b2obobo2bo bo2bobobo4bo3bobo7b3obo2b2o2b3obo2bo5bo3bobo2b3obobo2bob3o5bo2bo2b3ob 2o2b2o2bo2b2o2b3o3bob4o2b2ob5ob2obob2ob2obobobob2o7b3obo5b2obo4bobob2o 5b2obo4bo6bob2o2bob2obob2obo4b6ob3o4bobo2bobo4bo3bob2ob2o4bo2bob2o3b2o b2obob2obo2bobobo4b4o2bo3bob2o2b5o3b4o4b2o6b2obobo5bo3bo$b2o3bo8bob3ob
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5bo2b4o4b3o4bo6b2o2b2o5b3o2b3obo2b2o3b2obobo3bob2o2bobo2bo2b3o7b2o4b2o
3b3obo2bob3o2bobo2b4o3b2obo5b3o2bobo3b3o5bo3bo3b2o2b2ob3o3bob5o4b2o2bo
b2o2bo4b2o2b2ob3o4bo2bo2b2o3bo2bobo2b4obo5b2o2bo2b2o2b2obo9bo2bo2b2o3b
o4b2obobobo$2bo3b2o2bobob2o2b8obobobo8bo5bo4bob2o4bo3b3o2bobo2bo3bo2bo bo4bob2obob3obobo3bobob3obo2bob2obobob2obo2b2obobob4o3bobo2b4o2bo5bo3b o2bo3bo4bo2b2obo3b4o4bob2obo3bob3o2b3o2bo3bo3bob2o2bobobo3bo5b2obob2o 5bo2bob4o6b2o2bo3b5obo2b2o8b3o2b3o4bo2b2o2b2o3b2ob3ob2o2bo2b7o3b2ob6o 2bob2o7bo6b2obob3o3b2o5b2obo2bo2bobo8bo2bob2o2b3o5bo2bobob2ob2obo2bob 2o2bo5b2obo2bo4bo5b3o3b4ob3o3bo3b2obo2$bobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobo!

Lifequote:
Chuangtse wrote: What we love is the mystery of Life. What we hate is corruption in death. But the corruptible in its turn becomes mysterious life, and this mysterious life once more becomes corruptible.

Kiran
Posts: 285
Joined: March 4th, 2015, 6:48 pm

If you run the attached pattern with the speed set to 2^8 (change the base step) and pressing "tab" repeatedly instead of running it, you will see that the wiggly lines clear up in the first few thousand generations, leaving two active boundaries.
The topmost boundary would evolve for a while, but appear to freeze at generation 4096 (the spots on the top/bottom edge eventually fill in):

Code: Select all

x = 512, y = 512, rule = B4678/S35678:T512,512
47b152o188b74o$46b153o187b76o$46b154o187b75o$46b154o187b74o$45b157o
185b74o$46b156o185b76o$45b158o184b75o$45b159o182b76o$46b160o180b76o$45b161obo177b78o$45b165o174b80o$46b164o174b79o$44b168o171b80o$44b170ob obo166b80o$43b176o164b83o$43b178o160b86o$42b179o4b2o153b87o$42b190o 148b86o$41b192o148b86o$41b195obo143b87o$41b43o2b152o142b89o$39b45o2b 154o138b91o$39b202o137b92o$37b206o134b93o$36b208o132b95o$36b208ob2o 129b95o$35b213o127b96o$32b220o121b99o$31b223o118b100o$31b73o2b149o116b 102o$30b74o2b149o115b104o$29b75o2b151o113b105o$28b76o2b153o110b107o$27b234o108b108o$26b235obo105b110o$25b238o104b112o$22b243o101b116o$20b 247o97b119o$19b248o96b123o$19b250o92b127o$15b256o90b131o$13bob256o88b 134o$11b262o86b137o$8b265o84b141ob2o$4b271o82b144o2bobo$b275o74bobo3b 155o$276obo72b162o$278o2bo66b165o$282o62b168o$283o60b169o$284o57b171o$286o53bob171o$286o52b174o$288obo48b174o$291o39b3obo2b175o$292ob2o24b2o 2bo3b2ob182o$298o12bobo2b2ob194o$298obobo3b2obob202o$512o$512o$512o$24ob487o$23o5b484o$23o5b484o$26ob485o$512o$512o$512o$512o$512o$512o$242o2b268o$242o2b268o$512o$124o4b2o3b3o2b3ob370o$122o20bo2b268ob5o2bob o4bob82o$112o3b2o3bo28b2ob253o2b2obo19b4ob77o$111o42b213o3b33o34b76o$
110o43bob211o3b32o36b75o$109o47b244o39b73o$109o51bobobob233o46b2ob64o$103ob3o60b230obo16b2o32b63o$98o71b149o2b77o18b2o32b5o2bobo3bo2bo3b2ob
40o$94obo75bo2b2o2b2ob6o2bob2ob3o2b119o2b75o77b2obo2b34o$92o111bobo2b
2ob183o85b33o$91o122b180o89b30o$91o125bobo2b170o93b28o$89o132b168obo 93bob2ob23o$87o137b2ob2o3b156o102b22o$83obo147b156o102b22o$83o85b2o63b
151obo105bob19o$81o87b2o66b147o110b2obo2b13o$79o157b146o120bob8o$ob74o bo161b143o122bobobo2bo$3bob68obo165b140o$12b3ob2o4b2ob47o169b135ob2o$
25bo3b7o2bob2o4b18o2bo174b3obo2b125obo$46b8obobo2bobo187bobobo5bo2b2ob 3o2b2obobobob92o$281bo4b85o$286bob2o2bob77o$295bob72o$297b71o$298b67o$304bob59o$311b53o$313b49o$317b43o$320b5ob32obo$327bobo2b5o2bob12obo2bo
$344bobobobobo6$405b2o2bo$405b6o$404b6o$182bob4ob5o2bo6b2o2bo3b3o2bo 185b9o$177bo2b38ob2o182b6o$177b45o180b6o$158b2o2b8ob4ob46ob2o2bo175bo
2b2o$156b79obo$156b83o$149b2o2b87o$146bob94o$144bob97o241b2o$137bob4ob
100o240b2o$132bo3b108o$131b114o2b2o$129b123o$128b126o$126b128o$124b
132o$120b137o$117b141o$113b147o$19b2o84b2obo2b152o$19b2o84b158o$103b
162o$103b162o$102b165o$101b167o2b2o$95bobo2b174o$93bob179o$91b185o$90b 188o$33b2o54b191o$33b2o54b191o$86b195obo2b2o$85b203o198b2o$81b2o2b203o
198b2o$81b209o179b2o$79b211o179b2o$76bo2b212o$75b220o$74b222o$72b225ob
obo$71b232o94b4o3b2o$69b235o89b2o2b11o$69b237o84bob21o$68b241o72b2o2bo
2b26o$67b50o2b191o69b36o2bo$66b51o2b193obo56bobobo2b44o$64b251o43b2obo 2bo2b55o$63b252o4b4o34b65o$62b262o13bob2obo2b4obobo3b67o$62b263ob6ob
93o$60b366o$59b370o$58b372o$58b373o$58b373o$56b377o$57b159o2bo2bobo2bo b205obo$56b152obo2b2o16b205obo$56b139obob2o3bo2bo24b2ob203o$55b137obo
41b205o$54b136o46b206o$54b132ob3o48b205o$54b132o54b203o$55b128o62b200o
$54b24o2b103o63b201o$55b23o2b101o65b202o$55b126o66bob201o$55b125o70bob
198o$54b123o76b198obo3bo$55b121o77b204o$55b121o79bob202o$55b119o83b81o
b121o$55b119o85b77o5b121o$55b117o88b76o5b122o$55b116o89b75o5b19o2b103o$56b113o92b75o3b20o2b103o$55b114o93b203o$55b113o94b204o2bobo$56b5o2b 101o98b209o$55b6o2b101o99b211o$55b4o4b100o101b211o$55b4o4b99o104b209o$56b105o106b209o$56b104o107b212o$56b102o111b211o$57b100o112b211o$57b96o b3o112b212o$57b94obo117b214o$59b92o120b213o$58b90o125b212o$58b90o125b 213o$59b88o128b213o$60b84o131b213o$62b78ob2o134b213o$62b78o138b212o$
64b72obo140b212o$65b71o143b213o$66b62obob3o146b212o$68b57o156b212o$68b
55o159b211o$71b51o159b213o$71bob46o163b213o$75b2ob40o164b213o$80b35o
168b211o$80b2o3b29o169b212o$88b2o2b14o5bo172b210o$92bo6b2o2b2o180b210o$286b209o$287b207o$286b209o$286b208o$288b206o$287b207o$288b207o$288b 207o$288b206o$206b2o81b204o$206b2o83b169o2b30o$291b169o2b29o$291b201o$291b201o$292b32o2b165o$291b33o2b166o$35bo256b200o$34b3o255b199o$33b5o
254b198o$34b3o256b198o$35bo258b197o$294b196o$295b195o$275b2o20b192o$
275b2o21b191o$298b190o$205b3o89b191o$205b3o89b190o$297b188o$104bo193b 186o$104b3o192b185o$102b5o192b184o$102b3o195b182o$104bo196b180o$301b
181o$301b181o$301b180o$303b177o$303b175o$305b172o$305b172o$304b64o2b 17o2b86o$305b63o2b17o2b86o$305b170o$305b72o2b95o$305b72o2b94o$307b166o
$307b165o$308b164o$308b163o$310b161o$310b160o$310b159o$310b158o$309b
158o$151bob4o153b22o2b131o$147b13o151b21o2b83o2b46o$144b17o150b21o2b 83o2b45o$142b20o148b22o2b18o2b109o$142b22obo144b42o2b87obob19o$140b27o
144b130o4b16o$139b32o142b127o4b16o$138b33o143b127obob16o$137b36o140b 146o$135b39o140b146o$135b39o141b144o$133b42o140b143o$132b45o139b141o$
101b2o26bo2b46o138b140o$101b2o26b49o139b138o$128b50o139b136o$127b52o 137b137o$125b54o138b134o$124b57o135b134o$123b57o136b134o$122b59o136b 132o$122b61o134b132o$120b64o133b131o$119b64o135b130o$118b67o134b129o$
117b67o134b128o$117b68o122b2o11b125o$116b68o123b2o12b124o$116b69o136b 123o$117b68o136b123o$115b70o136b122o$116b69o137b121o$115b70o136b121o$
113b72o137b119o$113b72o137b119o$113b71o137b120o$113b72o137b118o$111b
74o137b118o$111b74o138b116o$110b75o137b117o$108b77o139b117o$108b77o37b
2o99b118o$107b77o38b2o52b2o46b117o$106b78o38b2o52b2o45b118o$107b76o 140b119o$106b78o140b117o$105b22ob2ob52o141b117o$105b19o9b49o141b120o$104b20o9b49o140b121o$103b22o8b49o141b122o$102b22o10b48o140b122o$102b
24o7b48o140b124o$101b26o4bob48o139b125o$100b82o137b127o$100b81o138b 129o$98b82o138b130o46bo2b2ob4ob2o$2o96b83o137b133o42b19o$2o94b84o93b2o
42b135o38b22o$5o91b83o94b2o42b136o33bob24o$8o3bo83b85o138b135obo22bob
2o2bob27o$12o82b86o138b52ob27o2b55o15b42o$14o79b87o137b52o4b25o2b60obo
7b43o$16obo73b88o138b52o4b25o2b64o3b45o$19o71b89o137b55ob140o$20o70b 87o137b198o$24o64b90o136b198o$25o62b91o135b199o$27ob2o57b90o135b200o$32o53b93o133b201o$34o51b93o134b200o$35o49b94o133b201o$36o46b95o133b
202o$36o46b96o130b204o$38o43b96o131b204o$38o42b95o132b205o$39o3b3o32bo
b96o131b206o$45o28b102o130b207o$47o2bobo20b103o128b209o$52o5bo11bob 104o129b208o$54o2b61o2b56o128b209o$117o2b56o126b211o$175o125b212o$175o 125b212o$176o124b9o6b197o$175o124b10o6b74o2b121o$40o2b134o121b92o2b
121o$40o2b134o121b215o$175o121b216o$175o120b217o$176o117b219o$175o117b 220o$176o116b220o$176o115b221o$176o114b222o$176o113b223o$176o111b225o$177o109b226o$178o108b226o$179o106b227o$180o104b228o$181o100b231o$182o
96b2ob231o$182o94b236o$183o92b60o2b175o$184o90b61o2b175o$185o88b239o$186o87b239o$188o83b241o$189o80b243o$190o77b245o$191o74b247o$193o67bob
250o$194o66b252o$196obo61b253o$199obo57b254o$203o53b256o$205o48b259o$
206o44bob260o$208o42b262o$210ob2o28bobo2bob264o$216ob2o20bob271o$222ob
ob2o3b2ob279o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$512o$119ob392o$117o5b390o$117o5b390o$
118o5b389o$119o3b373o3b14o$490obo10b10o$485o18b9o$483obo18b9o$481obo 21b8o$479o26bob5o$477o32b3o$477o33b2o$475o35b2o$b473o$b472o$2b470o$3b 469o$4b466o$6b463o$7b461o$7b460o$9b457o$9b456o$9b457o$11b453o$12b269o
2b91o2b89o$11b270o2b91o2b87o$13b450o$13b450o$13b449o$15b447o$15b446o$15b445o$17b444o$16b445o$17b172o2b269o$19b170o2b269o$19b442o$19b442o$
21b440o$22b438o$21b438o$22b437o$23b436o$23b435o$24b115o2b318o$25b114o 2b317o$25b114o2b317o$25b114o2b316o$26b432o$27b429o$28b429o$30b425o$30b
425o$32b424o$33b422o$33b421o$34b420o$35b419o$36b419o$35b420o$36b418o$37b418o$36b182obo2b2o2b228o$37b178o13b3o2b2ob2obobo2b2obob205o$38b177o
34b2obob200o$39b172o2bo45b195o$41b168o50b195o$41b167o54bob2ob187o$40b
166o62b2o2bo2b5o4bo2b2ob166o$41b165o86b164o$41b164o87b164o$43b161o89b 164o$42b160o93b2o2bo2b52o2b101o$43b157obo54bo2bo44b45o10b8o2b87o$43b
157o55b6o44bobo4bo2b4obo3b3ob3o2b4o5bob4o23b86o$43b155o58b6o109b86o$
43b155o57b6o112b84o$44b153o60b4o113b84o$45b152o60b4o116b81o$46b150o 181b81o$45b150o184b79o$46b149o184b80o$46b149o186b77o$46b149o187b77o$
45b150o187b76o$45b151o187b75o$46b149o190b74o$47b149o190b72o$47b150o
189b72o$46b151o190b71o$47b151o189b72o!

The lower boundary is meanwhile more curved, and gradually straightens out and freezes at generation 38656:

Code: Select all

x = 512, y = 512, rule = B4678/S35678:T512,512
512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$
512o$512o$512o$512o$512o$512o$84o2b426o$84o2b426o$512o$512o$512o$512o$
512o$512o$512o$104o2b406o$104o2b406o$104o2b406o$104o2b406o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$24ob487o$
23o5b484o$23o5b484o$26ob485o$512o$512o$512o$512o$512o$512o$242o2b268o$
242o2b268o$512o$124o4b2o3b3o2b3ob370o$122o20bo2b268ob5o2bobo4bob82o$
112o3b2o3bo28b2ob253o2b2obo19b4ob77o$111o42b213o3b33o34b76o$110o43bob
211o3b32o36b75o$109o47b244o39b73o$109o51bobobob233o46b2ob64o$103ob3o 60b230obo16b2o32b63o$98o71b149o2b77o18b2o32b5o2bobo3bo2bo3b2ob40o$94ob o75bo2b2o2b2ob6o2bob2ob3o2b119o2b75o77b2obo2b34o$92o111bobo2b2ob183o
85b33o$91o122b180o89b30o$91o125bobo2b170o93b28o$89o132b168obo93bob2ob 23o$87o137b2ob2o3b156o102b22o$83obo147b156o102b22o$83o85b2o63b151obo
105bob19o$81o87b2o66b147o110b2obo2b13o$79o157b146o120bob8o$ob74obo161b 143o122bobobo2bo$3bob68obo165b140o$12b3ob2o4b2ob47o169b135ob2o$25bo3b
7o2bob2o4b18o2bo174b3obo2b125obo$46b8obobo2bobo187bobobo5bo2b2ob3o2b2o bobobob92o$281bo4b85o$286bob2o2bob77o$295bob72o$297b71o$298b67o$304bob 59o$311b53o$313b49o$317b43o$320b5ob32obo$327bobo2b5o2bob12obo2bo$344bo bobobobo6$405b2o2bo$405b6o$404b6o$402b9o$403b6o$402b6o$403bo2b2o5$484b 2o$484b2o10$19b2o$19b2o9$33b2o$33b2o2$486b2o$486b2o$469b2o$469b2o39$333bo3b4o3b2o2bo3b3o2b2o3bobobobo$331bob37o2b3obobo$329b50o$326b55o$324b59o$316b3o2b62o$314b72o$313b74ob4o$311b82o$309b85o$307b89o$306b91o
$303bob94obo4b2o$303b106o$302b107ob2obo$299b116o$297b119o$292b4ob119ob
4o$292b130o$290b134o$288b138o$288b139obo$286b145o$282b2ob148o$280b153o$280b155o$277bob158obo$275bob163o$275b166o$274b168obo$273b171o$269bo2b
174o$268b180o$266b183o$266b183o$262b188o$254bo2b2o3b190o$253b200o$253b 201o$251b204o$251b205o$246bo3b206o$206b2o36b213o$206b2o35b215o$241b 218o$235bob2o2b219o$234b227o$233b91o2b136o$230b94o2b137o$35bo190bo2b
236o$34b3o188b241o$33b5o186b243o$34b3o183b2ob245o$35bo184b250o$219b 252o$218b254o$217b255o$215b258o$214b260o$205b3o5b263o$205b3o5b264o$
211b267o$104bo106b267o$104b3o102b270o$102b5o101b273o$102b3o103b274o$104bo101b277o$206b277o$204b281o$203b283o3bo$203b288o$202b292o$201b293o$200b297o$198b170o2b17o2b110obo$197b171o2b17o2b113obo$196b308obo$196b
181o2b127o$194b183o2b128o$194b314o$192b317o$192b318o$191b321o$3o186b
323o$3o185b324o$4o183b325o$6o179b327o$7o177b328o$7obo175b148o2b178o$
10obo170b150o2b83o2b93o$13o168b151o2b83o2b93o$13o168b151o2b18o2b158o$15o165b172o2b87obob68o$15o164b262o4b67o$17o160b263o4b68o$17o159b265obo
b68o$19obob2o152b336o$25o149b338o$25o146b341o$26o145b341o$28o142b342o$
28o73b2o66b343o$30o71b2o65b344o$31o136b345o$32o133b347o$34o130b348o$34o125b3o2b348o$35o2b2o2bo2b2o110bo2b353o$47obo106b357o$50o100b362o$53o86bob2obo3bob362o$53ob2o83b373o$58o72b2ob379o$60o65bob385o$60o64b 388o$62o57bobob389o$62o56b394o$64o2bo2b3o3bo40b396o$77o37b398o$83obob
3o7b3o3b5o3b402o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$512o$370ob27o2b112o$369o4b25o2b112o$369o4b25o2b112o$
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After this, both boundaries are p256 oscillators (the period is not less than that, as setting the speed to 2^7 shows changes).
Why should this be?
If this is caused, as I suspect, by waves propagating cyclically around the boundaries, why should the period be 256 and not 512?
Attachments
soup.txt
Kiran Linsuain

Posts: 1977
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

Kiran wrote:If this is caused, as I suspect, by waves propagating cyclically around the boundaries, why should the period be 256 and not 512?
I would like to say that this is caused by the fact that B4678/S35678 is self-similar, so that the trough of the wave is congruent to the peak of the wave, leaving only 256 "degrees of freedom", so to speak.
However, the top boundary doesn't appear to have the sort of translational symmetry that this explanation hinges on.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

muzik
Posts: 3925
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

large symmetrical sl:

Code: Select all

x = 20, y = 20, rule = B3/S012345678
9b2o$9b2o5$9b2o$7bob2obo$8bo2bo$2o4b2ob2ob2o4b2o$2o4b2ob2ob2o4b2o$8bo 2bo$7bob2obo$9b2o5$9b2o$9b2o!  Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! dvgrn Moderator Posts: 7371 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL BlinkerSpawn wrote: Kiran wrote:If this is caused, as I suspect, by waves propagating cyclically around the boundaries, why should the period be 256 and not 512? I would like to say that this is caused by the fact that B4678/S35678 is self-similar, so that the trough of the wave is congruent to the peak of the wave, leaving only 256 "degrees of freedom", so to speak. However, the top boundary doesn't appear to have the sort of translational symmetry that this explanation hinges on. At first it didn't look like there was anything traveling around the boundaries. Was looking for something moving left or right, and there wasn't any obvious directionality. But the light bulb kind of goes off as soon as you think about XOR effects, along the lines of the B1/S bounded grid example here. Notice that each of the isolated high points on each boundary sends a new live cell left and right on each tick. Those two ripples travel at lightspeed ... and that means they're going to meet and cancel each other out in 256 ticks, not 512. Assuming that the XOR effect is managing to propagate on the angled sections, where it's a lot harder to see than on the flat sections, it's a little easier to see why the period can't be 512 with a minimal example: Code: Select all x = 512, y = 9, rule = B4678/S35678:T512,16 512o$512o$512o$512o$512o$512o$512o$512o$256bo! It seems like a good sign for this theory, that each boundary only stabilized to period 256 just after it evolved to the point where its variation from horizontal never exceeded 45 degrees. You're not going to get lightspeed east/west ripples if there's a two-cell-high vertical cliff anywhere. -- Drat these bounded grids anyway. By rights Golly should be totally running away with a pattern like this! As the A268754 sequence shows (explained a little in the link above) the period could get a lot more complicated at non-power-of-two widths. Would advise starting with artificially simple examples if experimenting with other widths. These three aren't so bad -- Code: Select all #C period 510 oscillator x = 510, y = 9, rule = B4678/S35678:T510,16 510o$510o$510o$510o$510o$510o$510o$510o$254bo! Code: Select all #C period 511 oscillator x = 511, y = 9, rule = B4678/S35678:T511,16 511o$511o$511o$511o$511o$511o$511o$511o$255bo! Code: Select all #C also a period 511 oscillator x = 513, y = 9, rule = B4678/S35678:T513,16 513o$513o$513o$513o$513o$513o$513o$513o$255b3o! -- but it seems like there might be some surprises lurking at other widths. _zM Posts: 175 Joined: June 26th, 2016, 3:07 pm ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Found with a modified version of a script detailed on the "Script request thread" thread: Code: Select all x = 276, y = 275, rule = B2ckn3ejqr4aejwy5aeikq6-i8/S2cei3ajkqry4aejktw5acjknr6-i7e8 2bo2b2o2bob3o3bobobobobob7ob3o3b2ob7o3b3o3b3obob3o2bo3b2ob4o2bo6bob2ob o2bob6ob6o3bobobobo4b2obo4bo4bobobobo2bob2o6bob2obobo2bo2b3obob3o3bobo 5bo4b2ob3o2b2o3bob2o2b3obo3bo3b2ob3o2bobobo3bob5ob5o2b4o2b3o2bobobo$b
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3bo3bo3bo2b3obob2obo3bo6bo7bo2b3obob2obo2b2ob2obobo$bobo4bo4bobo3bobo 2b3o2bob2o5bo2bobo2bob2o5b4ob2obo3b2obo4b2obobobo2b3o3bo2bo5bob3o3b2ob 2o2bobob2o10bo2bo2b2o3b2obobobob3obobo3b3ob4o4bo2b3obob2ob3o5b2o2bo4b 2ob4o3b3o3b3o4b5ob3obobob2ob4o7bobobobo3b2obobo5b2o$obo3bo5bobob2o2b2o
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3ob2obobob2ob5ob2o2bobob2o4b3o$2o3b2obob2ob2obo2bo3bob2obo2bob3o2bobo 3bobo3b2ob2obobo4bob3o3b6ob3o2b2o2bobobobobobo2b3obo7bo3b2obob5ob5o5bo 2bo3b4obobob4obob2o2b2obob3o2b2obob2o2b4o2bob2obo2b3o4b3ob2ob4obo2bo2b o2b5o2bobo5b3ob2ob2ob3o6bo5bob3obo2bo$ob4ob2o2b4obo2bo4bo6b4ob2o2bobo
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2ob2obo2b2ob3o2b3obob3o4bobobo2bob2o4b3o2bobob3obob2o2b2ob3ob5obob2obo
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obo2bobob2ob3ob5ob3o4bob2obobo2bob2o2b6ob3o2b2ob4obo2bo2b2o2bobo2bob2o
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7bobobo5b2o2bob9ob4o2b2ob2ob2obo3b2obob4o3b3obob2o3bo3bo3bo$bobob3o2b 2o3bobob2ob3o3bo6b3o2bob2obob2o4bobob2o2bobob6obobo3bo2bo2b2o2b4o3bob 4o3b5o2bob2ob4obo2bo2bobo3bobo2b3obob2ob4o2b5ob3o2bo4b2obob3ob2o3b3o2b 6ob6obo3bo2bo4bo4b2o6b6o2b4o5bo3b6o2b3obo2bob2o3bo2b2o$4ob2o3bo2b2ob2o
bob2o2b2obobob3o2b3o3b2o2b4ob3obo2bo2bo3b3o2bobo6bobo3b2o2b2o3bobo2b2o
3b2o4b2obobob2ob2o2bobo2bobobob3obo2b3o5b3o2b3o3bobo3bo2b2ob2o2bobob6o
b3o5b2o5b3obob2ob2ob2o3bob9ob3obo4b6o3b2obob3obobob2ob4ob2o$4bo4bo3b6o 2b3o2b5ob3o5bo2b3o2b2obobo3b5ob2o6bob5o4b4obob4ob2obo3b2o2bob3o3bobo2b 2o4bobo5bob3o3bo2b3ob5o2bob2obo2b4ob3o2b3o3bob3o6bo2b3ob4o4bobo2b3ob2o 2b2o3bo2bo2b3ob2o4bo2bo2bo4bo3bobobo3bobobo2bob3o2bo$2ob2o3b3obo3bobob
obo2b2o2b2obobob2obobo2bobo7bob2obo2bob3obo3b2o3bob5o3bobob3ob6o2bobob
o2b2obo3b3obobo2bo2bo2bob3o2b3obob2o3bobob5obob2o4bo2bobo2b2o2b2ob3ob
3obo7b3ob2ob2obobob3obobo2b2o2b3o2bo2b2ob3o3bobob4o2b3o2b2obo2bob2o3b
2obo$o2b2obo6b2o2b3ob4ob3o5b2o2bobob7o6b2obobo2b2o2bo3b3obo2b2o4b3o2bo 5bo2bo2bo3bo2bob3o2bo2b2ob2ob3obobobo3b2obo2b3o2b5ob3o2bo2bo2b2o3bobob 3o7bob2o4bobo3b5o2bo4bo4bo5bobo3b2obo3bo2b2o4b3o2bo2bo2bobo3bob3obob2o 3bob2o$3bobo2b2o3b8o2bob2o2bob3o2b5o5bo3bob2o2bob4ob2obob2o2bob2o2b2o
2b2ob2o7bob2o4b2ob5obob4o5b2obob2o2bob6ob3o3bobobob5o3bob5o2b2obobo2b
3ob4ob2ob5o3bo3b2ob3o2b2obobo3b3o3bobob2o5b2o2bob4obobo4bob4o2bob4obo
4b2o$ob2o3bo3bob7obo2bo2b2o3bob2o2bo3bo2b2ob3ob3ob3obo2b2o3b3ob4o2bobo b4ob2obob2o3b2obob3ob2obob2o5b4obo3b2o2b4ob2ob3o2bo6b5o2bo2b5ob3o4b3ob 2obobob4ob2o2b5o5bo2b6obo2b2o2bob2o3bo3bob2ob3o2b5obo7bo2bo4b3o3b5o!  Blobby rule, but with a diamond-shaped blob. may or may not be what you'd expect A for awesome Posts: 2160 Joined: September 13th, 2014, 5:36 pm Location: Pembina University, Home of the Gliders Contact: ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Code: Select all x = 6, y = 7, rule = B3-y/S2-i34q 2o2b2o$2obobo$4bo2$4bo$2obobo$2o2b2o!

praosylen#5847 (Discord)

x₁=ηx
V*_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

Rhombic
Posts: 1072
Joined: June 1st, 2013, 5:41 pm

Code: Select all

x = 22, y = 15, rule = B36a/S2-i34t5ei
$8bo$7bobo5$4b2o$3b4o$6bo$6bo3b2o$5bo4bobo$13bo$10bobo$10b2o!

SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

GUYTU6J
Posts: 1217
Joined: August 5th, 2016, 10:27 am
Location: 拆哪！I repeat, CHINA!
Contact:

Code: Select all

x = 48, y = 48, rule = B3aijkr4acity5iqry678/S23-cjkq4city:T48,48
5$11b3o$11bobo$11b3o21b3o$35bobo$35b3o$6b3o3bo3b3o$6bobo2bobo2bobo$6b
3o3bo3b3o11b3o3bo3b3o$30bobo2bobo2bobo$30b3o3bo3b3o$11b3o$11bobo$11b3o 21b3o$35bobo$35b3o10$9b3o$9bobo$9b3o21b3o$33bobo$33b3o$4b3o3bo3b3o$4bo
bo2bobo2bobo$4b3o3bo3b3o11b3o3bo3b3o$28bobo2bobo2bobo$28b3o3bo3b3o$9b
3o$9bobo$9b3o21b3o$33bobo$33b3o!

Lifequote:
Chuangtse wrote: What we love is the mystery of Life. What we hate is corruption in death. But the corruptible in its turn becomes mysterious life, and this mysterious life once more becomes corruptible.

A for awesome
Posts: 2160
Joined: September 13th, 2014, 5:36 pm
Location: Pembina University, Home of the Gliders
Contact:

GUYTU6J wrote:

Code: Select all

x = 48, y = 48, rule = B3aijkr4acity5iqry678/S23-cjkq4city:T48,48
5$11b3o$11bobo$11b3o21b3o$35bobo$35b3o$6b3o3bo3b3o$6bobo2bobo2bobo$6b
3o3bo3b3o11b3o3bo3b3o$30bobo2bobo2bobo$30b3o3bo3b3o$11b3o$11bobo$11b3o 21b3o$35bobo$35b3o10$9b3o$9bobo$9b3o21b3o$33bobo$33b3o$4b3o3bo3b3o$4bo
bo2bobo2bobo$4b3o3bo3b3o11b3o3bo3b3o$28bobo2bobo2bobo$28b3o3bo3b3o$9b
3o$9bobo$9b3o21b3o$33bobo$33b3o!

Finite form:

Code: Select all

x = 29, y = 29, rule = B3aijkr4acity5iqry678/S23-cjkq4city
12b2o$12b2o9$13b3o$13bobo$13bobo11b2o$10b3o3b3o8b2o$10bo7bo$2o8b3o3b3o$2o11bobo$13bobo$13b3o9$15b2o$15b2o!

praosylen#5847 (Discord)

x₁=ηx
V*_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

Rhombic
Posts: 1072
Joined: June 1st, 2013, 5:41 pm

Is this the smallest p5 rotor (4 cells)?
https://catagolue.appspot.com/object/xp ... -aejkn4krz
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Kiran
Posts: 285
Joined: March 4th, 2015, 6:48 pm

Rhombic wrote:Is this the smallest p5 rotor (4 cells)?

Code: Select all

x = 3, y = 3, rule = 23/4/5
.A$A.A$.A!

You are probably asking about the smallest p5 rotor in a two-state, isotropic, non-totalistic rule.
Obviously, p5 rotors in those rules cannot have 1 or 2 cells.
The three cell case is harder to prove.
For a three cell rotor, there are several different configurations:

Code: Select all

x = 26, y = 3, rule = B/S012345678
o16bo$2o3b3o3b2o5bo5bo$13bo5bo3bobo!

The last four are essentially equivalent in totalistic rules, and probably analogous in some way in non-totalistic rules.
I guess a proof would have to go over all of them and reach a contradiction for each one.
Kiran Linsuain

gameoflifemaniac
Posts: 1216
Joined: January 22nd, 2017, 11:17 am
Location: There too

GUYTU6J wrote:

Code: Select all

x = 48, y = 48, rule = B3aijkr4acity5iqry678/S23-cjkq4city:T48,48
5$11b3o$11bobo$11b3o21b3o$35bobo$35b3o$6b3o3bo3b3o$6bobo2bobo2bobo$6b
3o3bo3b3o11b3o3bo3b3o$30bobo2bobo2bobo$30b3o3bo3b3o$11b3o$11bobo$11b3o 21b3o$35bobo$35b3o10$9b3o$9bobo$9b3o21b3o$33bobo$33b3o$4b3o3bo3b3o$4bo
bo2bobo2bobo$4b3o3bo3b3o11b3o3bo3b3o$28bobo2bobo2bobo$28b3o3bo3b3o$9b
3o$9bobo$9b3o21b3o$33bobo$33b3o!

Lol city
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

b4o25bo$o29bo$b3o3b3o2bob2o2bob2o2bo3bobo$4bobo3bob2o2bob2o2bobo3bobo$
4bobo3bobo5bo5bo3bobo$o3bobo3bobo5bo6b4o$b3o3b3o2bo5bo9bobo$24b4o! AbhpzTa Posts: 507 Joined: April 13th, 2016, 9:40 am Location: Ishikawa Prefecture, Japan ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Kiran wrote: Rhombic wrote:Is this the smallest p5 rotor (4 cells)? Code: Select all x = 3, y = 3, rule = 23/4/5 .A$A.A$.A!  You are probably asking about the smallest p5 rotor in a two-state, isotropic, non-totalistic rule. Obviously, p5 rotors in those rules cannot have 1 or 2 cells. The three cell case is harder to prove. For a three cell rotor, there are several different configurations: Code: Select all x = 26, y = 3, rule = B/S012345678 o16bo$2o3b3o3b2o5bo5bo$13bo5bo3bobo!  The last four are essentially equivalent in totalistic rules, and probably analogous in some way in non-totalistic rules. I guess a proof would have to go over all of them and reach a contradiction for each one. 3-cell p5 rotor, 2-state, totalistic rule(B568/S12346): Code: Select all x = 4, y = 3, rule = B568/S12346 3o2$4o!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).

_zM
Posts: 175
Joined: June 26th, 2016, 3:07 pm

That raises the more general question: What is the smallest rotor for a given period n in a 2d, 2-state, istotropic, Moore neighborhood? A lower bound is obvously log2 n, but is this bound always reachable? What about symmetrical rotors?
may or may not be what you'd expect

drc
Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

_zM wrote:That raises the more general question: What is the smallest rotor for a given period n in a 2d, 2-state, istotropic, Moore neighborhood? A lower bound is obvously log2 n, but is this bound always reachable? What about symmetrical rotors?
The minimum size will always be x where x yields the next highest power of two for 2^x. There's most likely more to it that I'm missing.
\100\97\110\105

AbhpzTa
Posts: 507
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

p152 reflectorless rotating oscillator:

Code: Select all

x = 3, y = 4, rule = B34y/S2-i3
3o$2bo$obo$bo! Code: Select all x = 14, y = 16, rule = B34y/S2-i3 bo$obo$o$3o9$11b3o$13bo$11bobo$12bo!
p108 reflectorless rotating gun:

Code: Select all

x = 21, y = 13, rule = B3-q5c8/S2-c34i6a
3bo$3bo$3bo14b2o$3o16b2o$2ob2o13b2o$2o14bo$16bo$3bo12bo$3b2o$3bobo$2bo
3bo$3bobo$4bo!

Code: Select all

x = 28, y = 32, rule = B3-q5c8/S2-c34i6a
23bo$22bobo$21bo3bo$22bobo$23b2o$11bo12bo$11bo$11bo14b2o$8b2o13b2ob2o$7b2o16b3o$8b2o14bo$24bo$24bo7$3bo$3bo$3bo14b2o$3o16b2o$2ob2o13b2o$2o
o5bo3bo5bo3bo5bo3bobo$17bobo3bobobobo3bobobobo3bobobobo3bobo!  SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Rhombic wrote:Tiny xp100, replicator and replicator-based spaceship Code: Select all x = 57, y = 47, rule = B2ei3-jn/S2-i3 29b2o$29b2o$29bo$30bo$31bo20$2o2b2o11b2o4bo6bo9bo9bo$bo2bo16b2ob2o2b2o b2o5b2ob2o5b2ob2o$2o2b2o11b5o3bo2bo3bo5bo3bo5bo3bo$bo2bo16b2ob2o2b2ob 2o5b2ob2o5b2ob2o$2o2b2o11b2o4bo6bo9bo9bo14$17bobo3bobobobo3bobobobo3bo bobobo3bobo$17bobo3bo5bo3bo5bo3bo5bo3bobo$16bo4bo9bo9bo9bo4bo$17bobo3b
o5bo3bo5bo3bo5bo3bobo$17bobo3bobobobo3bobobobo3bobobobo3bobo!  Looks very interesting. A bigun: Code: Select all x = 5, y = 16, rule = B2ei3-jn/S2-i3 4bo$3bo$2bo$2b2o$2b2o7$b2o$b2o$2bo$bo$o!

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A fun little rule with huge methuselahs and a 182c/3468 switch engine:

Code: Select all

x = 18, y = 2, rule = B35y/S2-n36ci
bo14b2o$3o14bo!  Code: Select all x = 25, y = 25, rule = B35y/S2-n36ci 14b2o$14b2o8$2o$2o4$13bo3bo5b2o$12b2o3b2o4b2o$15bo$12bo5bo6$9b2o$9b2o!


Code: Select all

x = 48, y = 27, rule = B35y/S2-n36ci
32b2o$32b2o$14b2o$14b2o6$46b2o$46b2o$2o$2o2$29bobobobo$28bob2ob2obo$
13bo3bo11bobobobo$12b2o3b2o$15bo$12bo5bo4$37b2o$37b2o$9b2o$9b2o!  \100\97\110\105 bprentice Posts: 745 Joined: September 10th, 2009, 6:20 pm Location: Coos Bay, Oregon ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Code: Select all x = 35, y = 6, rule = b2eai3knq4enqj5yqj6ek8/s2a3kqj4nqz5eyj8 A$.A$3.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$2.A.A3.A3.A3.A3.A3.A3.A3.A.A
$2.A.A3.A3.A3.A3.A3.A3.A3.A.A$3.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A!


Code: Select all

x = 37, y = 26, rule = b2eai3knq4enqj5yqj6ek8/s2a3kqj4nqz5eyj8
.A.A3.A3.A$A5.A.A.A.A$4.A.A.A.A.A$3.A3.A3.A8$.A.A3.A3.A3.A3.A$A5.A. A.A.A.A.A.A.A$4.A.A.A.A.A.A.A.A.A$3.A3.A3.A3.A3.A8$.A.A3.A3.A3.A3.A
3.A3.A3.A3.A$A5.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A.A$4.A.A.A.A.A.A.A.A.A
.A.A.A.A.A.A.A.A$3.A3.A3.A3.A3.A3.A3.A3.A3.A!  See more patterns from this rule here: viewtopic.php?f=11&t=2792#p43717 Brian Prentice Rhombic Posts: 1072 Joined: June 1st, 2013, 5:41 pm ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL Rake anyone? Code: Select all x = 16, y = 16, rule = B3-q4q/S2-i3-n4a oobbooooobboobbo$
oboboobbbboboobo$booobboobbbbbbbb$
ooobboboboobbobo$oobbbbobbbobbooo$
ooooobbbobbboboo$booboobobbobbooo$
obobbbbooboobboo$oooobbbbbbbobobb$
oobbbbbobobbbobb$obbbboobbooobbob$
oobbbobbbobobbbo$obobbbboooobbobo$
bbboobbbbobbobbb$obbooboobbbooobb$
bobobbbbobbooooo!
SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI
what is “sesame oil”?

Rhombic
Posts: 1072
Joined: June 1st, 2013, 5:41 pm

(3,1)/7

Code: Select all

x = 7, y = 6, rule = B2ek3ijq4-acjnr6a7/S012cek3a5j
5b2o2$3bo$o2bo$2obo$3o!

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Related rule.
natural xq14

Code: Select all

x = 6, y = 6, rule = B2ek3ijq4-acjnr6a7/S01e2-ai3a5j
3b3o2$o3$3bo!

predecessor:

Code: Select all

x = 3, y = 4, rule = B2ek3ijq4-acjnr6a7/S01e2-ai3a5j
b2o3$3o!  Found by luck with a natural puffer and a primitive script: Code: Select all x = 8, y = 5, rule = B2ek3ijq4-acjnr6a7/S01e2-ai3a5j 5b2o$3bo2bo$3b2o2bo$o2bo2bo$5b2o!  Last edited by Rhombic on May 25th, 2017, 7:49 pm, edited 2 times in total. SoL : FreeElectronics : DeadlyEnemies : 6a-ite : Rule X3VI what is “sesame oil”? 83bismuth38 Posts: 475 Joined: March 2nd, 2017, 4:23 pm Location: Still sitting around in Sagittarius A... Contact: ### Re: Thread for Your Accidental Discoveries that Aren't in CGOL fascinating rule with many common ships: Code: Select all x = 50, y = 8, rule = B34z5-n/S234iz5y 37bo$29bo6bo$21bo6bo7bo$20bo7bo7bo10bobo$9b2o9bo7bo7bo10bobo$bo9bo8bo
7bo7bo10bobo$o7bo11b3o5b3o5b3o8b3o$3o5b3o10bo7bo7bo!

EDIT: one time glider track:

Code: Select all

x = 4, y = 66, rule = B34z5-n/S234iz5y
2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o
$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b 2o3$2b2o$2b2o3$2b2o$2b2o3$2b2o$2b2o2$bo$2o$obo!

EDIT 2: block cleaner:

Code: Select all

x = 14, y = 79, rule = B34z5-n/S234iz5y
12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o
$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b 2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o3$12b2o$12b2o2$
11bo$10b2o$10bobo6$bo$3o$o$o$o$o$o$bo!

EDIT 3: AOWSS stabilized in a bounded grid:

Code: Select all

x = 9, y = 8, rule = B34z5-n/S234iz5y:T12,0
3o3b3o$obo3bobo$b3ob3o$b3ob3o$b3ob3o$b3ob3o$b3ob3o$b2o3b2o!  Code: Select all x = 8, y = 10, rule = B3/S23 3b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!

No football of any dui mauris said that.