## Reflectorless Rotating Oscillators (RRO)

For discussion of other cellular automata.
FWKnightship
Posts: 147
Joined: June 23rd, 2019, 3:10 am
Location: B3aijn5nq/S2ae3aijr4ir5y - B2ikn3-q4-akr56-ac78/S02-ck3-n4-ajkw5678

### Re: Reflectorless Rotating Oscillators (RRO)

Gamedziner wrote: Predecessor for an unusual 22c/44:

Code: Select all

``````x = 6, y = 4, rule = B3-cnqy4jz5ckr6cn7c8/S2-i3-ak4einrtyz5-inqy6-kn7c
2o2b2o\$o3bo\$bo2bo\$b3o!``````
22c/44 synth:

Code: Select all

``````x = 60, y = 158, rule = B3-cnqy4jz5ckr6cn7c8/S2-i3-ak4einrtyz5-inqy6-kn7c
37bo\$34bob2o\$37bo9\$3bo\$ob2o\$3bo7\$53bo\$52b3o\$52b3o59\$56bo\$56b2obo\$56bo
18\$40bo\$39b3o\$39b3o51\$22b3o\$23bo2\$23bo!
``````
EDIT:p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15,p16:

Code: Select all

``````x = 299, y = 65, rule = B3-cnqy4jz5ckr6cn7c8/S2-i3-ak4einrtyz5-inqy6-kn7c
6bobo6bo16bo16b2o8bobob2o20b2o31bobo36b2o13b2o9bo3bo17b2o22b2o3b2o20b
2o14bo2b2o15b2o\$2bob5o7b2o13b3o15bo9b4obo21bo31b3o37bo13bo10b3ob2o17bo
bo20bo2bo2bo21bo11b4o2bo17bobo\$2b2o2bo9bob2o28b2o11bob2o21b2o30bo36bob
3o9bo2bobo10bo2bo16b4o19b2ob3ob2o19b4o8b2o2bob2o15b5ob2o\$4bo12bobo11bo
15b3o36bo32bo34bobobo10b6o9b6obo14bo22bo2bo2bo21bobo7b4obo17bo4bo2bo\$
3b2o12b2o26b4o37bobobo27b2obo33bo2bobo24bo2bob2o11b5o20b4ob4o19b2o9bob
4o16bobobobobo\$45bo41b4o28bo32bobo2b4o8b6o9b5o14bo2b2o17bobo9bobo11bob
ob2o10bo2bo16bobo3b4o\$79bo5bo2bo29bo33b7o10bo2bobo29bobo16b5o9b5o9b5o
10b5o16b3ob2o\$31b2o46b5o2bo31b3o33bo2bo14bo13bo16b4o16bo3bo9bo3bo11bo
35bo2bo2bo\$31bo49bo2bo33bobo35b2o14b2o12b3o15bo2bo17bobo9bobo13b2o13bo
19b5obobo\$4b2o26bo28b2o20b3o102bo14b5o16b3o11b3o25b3o23bo2bo\$2bobo11b
2o13b2o27bo2bo20bo119bo2bo17bobo9bobo26bo22bobo\$2b2o2b2o9bo14bo26bo2b
4o17b2o118b4o16bo3bo9bo3bo47b2o\$5bobo8bo14bo27bobobobo138bobo16b5o9b5o
\$4b2o10b2o13b2o17b2o8b3o89b2o5b2o42bo2b2o17bobo9bobo15b2o\$16bo33bo10bo
91bo5bo43b5o20b4ob4o19bo\$15b2o32b3o9b2o89bo7bo45bo22bo2bo2bo17b5o\$48b
3o63b2o7b2o26b5ob5o43b4o19b2ob3ob2o16bo2bo\$31b2o13b5o30b2o3b2o27bob2ob
2obo24bob3o2bobo2b3obo41bobo20bo2bo2bo15bobo3b2o\$5b2o8bo4bo10bo14bobo
33bo3bo27b3obobob3o23b2obo3bobo3bob2o40b2o22b2o3b2o15b4o5bo\$4bo2bo7b6o
8b4o49b2ob2o28bo7bo27bo3bobo3bo91bobobo\$3bo2b2o21bobobobo23b2o4b2o16bo
bo28b3obobob3o26b4o3b4o93bo2b2o\$3bobo9b6o11b4o23bo2bobobo13bobo3bobo
20bobob3ob2ob2ob3obobo128bo\$4b2o9bo4bo12bo27b3o14b5o3b5o18b7o2bobo2b7o
21b4o3b4o94bo\$32b2o13b2ob2o7bo17bo13bo19bobo4bobo4bobo23bo3bobo3bo\$48b
obo8b2o16bo13bo18bo3bo3bobo3bo3bo19b2obo3bobo3bob2o\$47bo3bo24b2o13b2o
17b2ob6ob6ob2o19bob3o2bobo2b3obo\$20b2o22bobobobobobo17bo4bo13bo4bo54b
5ob5o\$5b2o13bo7bo15b2ob2ob2ob2o17b3ob2o13b2ob3o13b2ob6ob6ob2o23bo7bo\$
6bobo10b2o7bo45b2o17b2o15bo3bo3bobo3bo3bo24bo5bo\$5b4o11bo7b2o14b2ob2ob
2ob2o56bobo4bobo4bobo24b2o5b2o\$2bob3o10bo2bo8bo14bobobobobobo19b2o17b
2o14b7o2bobo2b7o\$2b5o8b5o10bo16bo3bo20b3ob2o13b2ob3o12bobob3ob2ob2ob3o
bobo\$4bo10bo15b2o15bobo21bo4bo13bo4bo17b3obobob3o\$3b2o27b3o12b2ob2o24b
2o13b2o22bo7bo\$77bo13bo22b3obobob3o\$77bo13bo23bob2ob2obo\$19b2o57b5o3b
5o23b2o7b2o\$18bobo59bobo3bobo\$3b2ob2o10bo28b2o34bobo\$2o2bobo2b2o5b7o
24bo34b2ob2o\$o2b2ob2o2bo4bo2bobobo22b4o33bo3bo\$2bobobobo6b2ob2o25bobob
o31b2o3b2o\$b2o5b2o8bo28b3o74b2o\$18b2o29bo74bo\$49b2o72b3o\$124bo\$120b7o\$
17bo101bobo2bobo\$15b3o101b3o2bo\$15bobobo99bo3b2o\$18b4o95bobo2bo\$16bo2b
obo93b8o\$17bo97bobobo\$16b2o101b2o3\$20b2o\$21bo\$20b4o\$19bobobo\$18bobo\$
15bobobo\$15b4o\$17bo\$17b2o!
``````
c/2,2c/4,18c/36,44c/88,14c/30:

Code: Select all

``````x = 171, y = 212, rule = B3-cnqy4jz5ckr6cn7c8/S2-i3-ak4einrtyz5-inqy6-kn7c
161bo5bo\$2bo10b3ob3o15bo5bo54b3o17b3o41b3o3b3o\$b3o9bob3obo14b3o3b3o53b
o2bo15bo2bo40b2o2bobo2b2o\$b3o8b2obobob2o12bo2bo3bo2bo51bo3bo15bo3bo39b
o2bo3bo2bo\$14b2ob2o14b2obo3bob2o51b2o2b2o13b2o2b2o39b2obo3bob2o\$2ob2o
10bobo19bobo\$bobo10b2ob2o18bobo\$13bobobobo16b2ob2o\$33bo3bobo3bo115bo9b
o\$32bo4bobo4bo113b3o7b3o\$31b2o2b3ob3o2b2o\$32b4obobob4o59b3ob3o\$106bobo
52bobobobo\$161b3ob3o4\$100bo13bo\$99b3o11b3o\$97bo2b2o11b2o2bo\$89bo6b2o
19b2o6bo\$34b2o5b2o42b2o12bo15bo12b2o32bo3bo\$35bobobobo43b2o2bo7b2o17b
2o7bo2b2o\$33bo2b2ob2o2bo41bo3b2o4bo23bo4b2o3bo\$33b2o2bobo2b2o49bob2o
21b2obo41bobo\$35bobobobo50bobo5b2o11b2o5bobo38b3ob3o\$35bobobobo50bo2bo
4b2o11b2o4bo2bo38bo5bo\$35b3ob3o50b4o23b4o36b5ob5o\$158b4obobob4o\$158b3o
7b3o\$158b2o9b2o\$159b2obo3bob2o\$161bobobobo2\$162bo3bo7\$36b2ob2o\$36b2ob
2o6\$31b2obo7bob2o\$30bo2b3obobob3o2bo\$30bo3bobo3bobo3bo\$30bob2o2bo3bo2b
2obo\$31b3o9b3o\$34bo7bo\$34bo7bo\$34bo7bo2\$36bo3bo\$36b2ob2o20\$69bo75bo\$
69b3obo67bob3o\$68bob4o67b4obo\$71bo71bo58\$82b2o47b2o\$81bo2bo45bo2bo\$81b
o2b2o43b2o2bo\$80bo2b2o45b2o2bo\$80b4o47b4o37\$102b3o5b3o\$102bo9bo\$102b3o
5b3o4\$84b3o41b3o\$83b2obo41bob2o\$82b2o2bo41bo2b2o\$83b2o3bo37bo3b2o\$87b
2o37b2o\$88bo37bo11\$81b3o47b3o\$80bo2bo47bo2bo\$80bo2bo47bo2bo\$79b2o2bo
47bo2b2o\$80b2o51b2o\$81bo51bo\$82bo49bo\$81bo51bo\$80b2o4bo41bo4b2o\$80b2o
3b2o41b2o3b2o!
``````
EDIT2:p2,p4,p5,p7,p9,p57:

Code: Select all

``````x = 97, y = 38, rule = B3-cnqy4jz5ckr6cn7c8/S2-i3-ak4einrtyz5-inqy6-kn7c
b2o20b2o16b2o19b2o\$bo7b2o12bo17bo20bo\$3o5bobo11b2o16b4o17b3o\$bo6bobo
10b3o17bobo18bo\$2o7b2o8b4o5bo11b2o18bobo\$2o17bo5b4o8bobobo19bo\$bo22b3o
8b6ob2o17bo23bo8bo\$3o21b2o9bobo3bobobo14bobo22b2o6b2o\$bo22bo12b2o2b5o
16bo20b5o4b5o\$2o21b2o18bo17b3o20b2o8b2o\$43b2o17bo22bo8bo\$62b2o4\$85bo8b
o\$84b2o8b2o\$83b5o4b5o\$59b2o2b2o20b2o6b2o\$59bo4bo20bo8bo\$58b3o2b3o\$59bo
4bo\$59b2o2b2o\$59bo4bo\$52bobo3b3o2b3o3bo\$52b9o2b9o\$54bobob2ob2ob2obobob
o\$60bo2bo\$60bo2bo\$54bobob2ob2ob2obobobo\$52b9o2b9o\$52bobo3b3o2b3o3bo\$
59bo4bo\$59b2o2b2o\$59bo4bo\$58b3o2b3o\$59bo4bo\$59b2o2b2o!
``````

Code: Select all

``````x = 45, y = 5, rule = B3aijn4w5nq/S2ae3aijr4irz5y
5o3bobobo5bob3obo4bo3b2obo3bob2o\$o3bo3bobobo7bobobo4bo2bo3bo5bobo\$3obo
bobob2o2b3obob3ob3ob3o2bo2b2o2bob3o\$o3bobobobobobobobo3bobobo2bo4bobob
obobo\$o3b5obobobobobob2o2bobo2b2ob2o2bobobobo!``````

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Reflectorless Rotating Oscillators (RRO)

2718281828 wrote:An interesting natural p256 (https://catagolue.appspot.com/object/xp ... t5-aky67c8), 1,2,4-fold:

Code: Select all

``````x = 184, y = 53, rule = B2kn3aijnr4aciky/S2n3-cek4aijnt5-aky67c8
6\$107b3o35bo28b3o\$106b5o32b3o2b4o21b5o\$105bob4o29b6o2b3o21bob4o\$104b2o
bo2bo28b3obobobo2b2o19b2obo2bo\$104b8o27b3ob4obobo20b8o\$104b5ob2o27b9ob
obo19b5ob2o\$105b8o27bo2b4o2b2o21b8o\$106b3o32b5o27b3o\$107bobo32b3o29bob
o\$108bob2o63bob2o\$106b2o2b2o61b2o2b2o\$106bob4o61bob4o\$107bobobo62bobob
o16\$6bobobo62bobobo62bobobo\$6b4obo61b4obo61b4obo\$6b2o2b2o61b2o2b2o61b
2o2b2o\$6b2obo63b2obo63b2obo\$8bobo64bobo64bobo29b3o\$9b3o64b3o64b3o27b5o
\$5b8o59b8o59b8o21b2o2b4o2bo\$6b2ob5o59b2ob5o59b2ob5o19bobob9o\$6b8o59b8o
59b8o20bobob4ob3o\$7bo2bob2o60bo2bob2o60bo2bob2o19b2o2bobobob3o\$7b4obo
61b4obo61b4obo21b3o2b6o\$7b5o62b5o62b5o21b4o2b3o\$8b3o64b3o64b3o28bo!
``````
But I am not sure if it is an RRO due to the interactions in the centre.
A relative RRO:

Code: Select all

``````x = 842, y = 142, rule = B2kn3aijnr4aciky5ekr6n8/S2n3-ceky4aijnt5-aky6-i7c8
6\$682b3o\$499b3o179b5o\$498b5o178b7o\$497bob2o2bo177b2obobo2bo\$500b3obo
177b6o\$499bo2b3o176bob2ob4o\$403bo3bo90bob3o2b2o171bobo3b2o4bo\$403b2o3b
o88b2ob4o2b2o168b4o2b2o3bo2bobo\$400b2o3bob3o90bo5b3o166bob5ob2obo2bob
2o2bo91bo3bo\$400b5ob4o89b3o3b4o166b4ob4obobo2b2obo93b2o3bo\$398b2obob2o
bob2o89b2obo3b3o166b3o4b2ob2o3b6o2bo85b2o3bob3o\$27bo3bo368bo2b4obo92bo
3b4o166bo6b2o3bo3b3o3bo4bo81b5ob4o\$27b2o3bo363bobo4bobobo93bobob3o176b
o7bob2obo5bo78b2obob2obob2o\$24b2o3bob3o184bo3bo174bo7b2o97bob2o167b2o
4bo4b2o4b2o2bob3ob3o79bo2b4obo\$24b5ob4o184b2o3bo172bob2obo2bo98bobo91b
o3bo93b2o4b4o75bobo4bobobo\$22b2obob2obob2o181b2o3bob3o172b8o192b2o3bo
79bo7b2o3bo7b2o76bo7b2o\$24bo2b4obo182b5ob4o172b7o190b2o3bob3o80bo2bo3b
o3b2o3b4o76bob2obo2bo\$20bobo4bobobo181b2obob2obob2o174b4o191b5ob4o86b
2o7bobobo77b8o\$21bo7b2o184bo2b4obo368b2obob2obob2o83b5obo2bo3b3o78b7o\$
20bob2obo2bo182bobo4bobobo371bo2b4obo85b3obo90b4o\$21b8o183bo7b2o368bob
o4bobobo88bo\$21b7o183bob2obo2bo371bo7b2o\$23b4o185b8o370bob2obo2bo\$212b
7o372b8o\$214b4o373b7o\$593b4o13\$787bo\$785b2obo\$785b2o2bo\$785b4obo\$786b
3ob2o\$782bobo2b5o\$780b2o2bo2b2obobo\$779b4o2bo2b2o2bo\$779b2obobobo2bo3b
o\$778b4ob4obob4o\$778b3o4bob2ob4o\$777b4o3b8o\$777b5obo2b2ob3obo\$295b4o
479b3ob3o2bo2b2o\$295b3o480bo2bobobo3bo\$293b2ob3obo378b4o96bo3b2o2b2o\$
295b2o2b2o3bo374b3o101bob3ob2o\$294bo3bobobo2bo371b2ob3obo101b3o\$292b2o
2bo2b3ob3o373b2o2b2o3bo96b4o\$290bob3ob2o2bob5o371bo3bobobo2bo\$292b8o3b
4o369b2o2bo2b3ob3o\$290b4ob2obo4b3o368bob3ob2o2bob5o\$290b4obob4ob4o370b
8o3b4o\$290bo3bo2bobobob2o369b4ob2obo4b3o\$291bo2b2o2bo2b4o369b4obob4ob
4o\$291bobob2o2bo2b2o370bo3bo2bobobob2o\$292b5o2bobo373bo2b2o2bo2b4o\$
292b2ob3o377bobob2o2bo2b2o\$293bob4o377b5o2bobo\$294bo2b2o377b2ob3o\$295b
ob2o378bob4o\$296bo381bo2b2o\$679bob2o\$680bo16\$393bo\$391bob3o\$381b3o3bo
2bob5o380bo\$380bobobo7b2o287b4o90bob3o\$380b4o3b2o3bo3bo2bo280b7o78b3o
3bo2bob5o\$379b2o7bo3b2o7bo277b8o77bobobo7b2o\$379b4o4b2o290bo2bob2obo
76b4o3b2o3bo3bo2bo\$379b3ob3obo2b2o4b2o4bo4b2o268b2o7bo76b2o7bo3b2o7bo\$
112b4o264bo5bob2obo7bo276bobobo4bobo75b4o4b2o\$111b7o263bo4bo3b3o3bo3b
2o6bo82b4o180bob4o2bo79b3ob3obo2b2o4b2o4bo4b2o\$110b8o267bo2b6o3b2ob2o
4b3o81b7o177b2obob2obob2o78bo5bob2obo7bo\$110bo2bob2obo271bob2o2bobob4o
b4o80b8o177b4ob5o81bo4bo3b3o3bo3b2o6bo\$108b2o7bo270bo2b2obo2bob2ob5obo
80bo2bob2obo176b3obo3b2o85bo2b6o3b2ob2o4b3o\$107bobobo4bobo272bobo2bo3b
2o2b4o79b2o7bo178bo3b2o93bob2o2bobob4ob4o\$106bob4o2bo278bo4b2o3bobo80b
obobo4bobo178bo3bo91bo2b2obo2bob2ob5obo\$105b2obob2obob2o277b4ob2obo82b
ob4o2bo281bobo2bo3b2o2b4o\$105b4ob5o281b6o82b2obob2obob2o281bo4b2o3bobo
\$105b3obo3b2o279bo2bobob2o81b4ob5o284b4ob2obo\$106bo3b2o284b7o81b3obo3b
2o286b6o\$107bo3bo286b5o82bo3b2o287bo2bobob2o\$399b3o84bo3bo91bobo195b7o
\$580b2obo198b5o\$580b3obobo196b3o\$579b4o3bo\$579b3o3bob2o\$579b4o3b3o\$
579b3o5bo\$580b2o2b4ob2o\$581b2o2b3obo\$583b3o2bo\$583bob3o\$584bo2b2obo\$
585b5o\$586b3o!
``````
1/2/3/4/6 fold with period full period 1548.

Edit1:
Another one, which might count as a rectangular one:

Code: Select all

``````x = 217, y = 110, rule = B2k3aijnr4aeikwy5r8/S2in3-ceky4acijnt5-aky67c8
211b4o\$2b4o204b6o\$b6o202b3ob4o\$3ob4o202b2obo\$b2obo205b2o\$b2o210bo2bo\$
4bo2bo203bo2b2o\$2bo2b2o96\$127b2o2bo\$126bo2bo\$131b2o\$129bob2o\$126b4ob3o
\$127b6o\$128b4o!
``````

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Reflectorless Rotating Oscillators (RRO)

A record 1/2/4/5/10/20:

Code: Select all

``````x = 391, y = 358, rule = B2n3-k4cj5ek67/S2n3-jk4acikrty5cr678
12bo\$12b2o\$10bob2o\$3bo62b2obo60bo62b2ob2o59bobo60b2o\$2b8o55bob2obob2ob
o53b5obo56bob2o2bo57b3o4bo55bob3o3bo\$b6ob3o53bob6o2b2ob2o49b7o56bob6o
2bo53b5o58bob4o3bo\$7ob2o7b2ob2o42b10ob2obo48b8obo54b9o54b6o3bo54b8o\$b
5ob2o10b2o43bob2o2bo2bo5bo48b6o57bob2ob3obo54b7o56bob2o\$2bo62b2ob2ob2o
56bo4bob2o54b2obob2o57bo4bo57b2ob2o\$136b2o\$137b3o\$138bo17\$38b2o\$37bo\$
38bo\$39b5o306b3o\$37b2obo308bobobo\$38b3o308b4obo\$37b5o308b5o\$37b4o308bo
b3o\$36b5o308bob2obo\$36bob4o308b4o\$37bobobo307bob2o\$38b3o308bobobo\$350b
2obo\$352bo\$351b3o\$351bo\$352bo\$351b2o\$350bo48\$37bobo311bo\$350b3o\$40b2o
307b5o\$40bo309b5o\$36bob3o309b4o\$37b4o309b4o\$36b5o309b4o\$37b5o307bob2o\$
38b3o312bo\$39bo308b2obo\$347b3o\$346b2o\$347bo50\$38bo\$40bo\$39bo310b3o\$37b
5o307bobobo\$36bob4o307b4obo\$36bob3o309b5o\$37b3obo307bob3o\$36b5o309b3ob
o\$36bob4o307b4obo\$37bobobo307b5o\$38b3o310bo\$350bo\$352bo50\$43bo\$43b2o\$
41b3o\$39bob2o308bo\$37bo312b3o\$38b2obo307b5o\$37b4o309b5o\$37b4o309b4o\$
37b4o309b3obo\$36b5o309bo\$37b5o307b2o\$38b3o\$39bo311bobo48\$40bo\$38b2o\$
38bo\$39bo\$37b3o\$38bo\$37bob2o\$37bobobo308b3o\$38b2obo307bobobo\$37b4o308b
4obo\$36bob2obo308b5o\$37b3obo308b4o\$36b5o308b5o\$36bob4o308b3o\$37bobobo
308bob2o\$38b3o306b5o\$352bo\$353bo\$351b2o17\$252bo\$64bo186b3o\$64bo188b2o\$
64bo2bo2b2o57bo4bo57b2obob2o54b2obo4bo56b2ob2ob2o62bo\$64b7obo56b7o54bo
b3ob2obo57b6o48bo5bo2bo2b2obo43b2o10b2ob5o\$61bo2bob7o54bo3b6o54b9o54bo
b8o48bob2ob10o42b2ob2o7b2ob7o\$61bobob6obo58b5o53bo2b6obo56b7o49b2ob2o
2b6obo53b3ob6o\$62bo2bob3obo55bo4b3o57bo2b2obo56bob5o53bob2obob2obo55b
8o\$69b2o60bobo59b2ob2o62bo60bob2o62bo\$377b2obo\$377b2o\$378bo12\$39bo\$39b
2o\$40bo\$39bo\$39bo4\$34b2o\$33b3o2\$35bo2bo\$37b3o\$37b4o\$37bo2bo\$37b3o\$37b
4o\$37b4o\$36b5o\$37b5o\$38b3o\$39bo!
``````
and still plenty of space.

Edit1:
Better: 1/2/4/7/14/28

Code: Select all

``````x = 440, y = 440, rule = B2n3-k4jq5k67/S2n3-jy4aikrty5cr678
393b3o\$392bobobo\$392b4obo\$393b5o\$392bob3o\$393b3obo\$393b2obo\$394bo\$394b
obo\$392bo2b3o\$392bobobo\$392b5o\$390b7o\$390b4o2bo\$391b4o\$390b3o\$390b2o
23\$283b2o\$282bo2bo\$281bob2obo\$2b2obo3bo47bo4bobo46b2ob3o2bo46bo5bo47b
2obo51bo2bobob3o44b2obo51bo\$bob2obob6o42b9o45bob2o3b5o43b10o44bob2o2bo
48b4obo2b6o40bob2obo49b4obo\$ob4o3bob2o42b10o44bob13o40b5ob5o43bob4obo
47b8ob6o39bob5o48b7ob2o\$9ob3obo39b11o44b16o38b7ob3o44b6o48b6obo2b6o39b
7o47b9o\$ob2ob2o4b4o40b10o44bob2o3b11o37b11o43bob3o50b4o2bo2b5obo38bob
2o2bo48b7obobo\$b2obo4b7o30bo9bo3bobo47b2ob3obob4o3bo38bo3b3ob2o44b2o
53bo6b2o2b2o3b3o35b2ob3obobo45bo2b4obo\$12b5o27bo2bo12bo61b2o162bo4bo
45bo49b3o\$12b2ob2o27bobo74bo\$45bob2o\$43b6o\$44b5o\$43b5o\$43b4o347bo\$42b
5o346b3o\$43b5o344b5o\$44b3o346b5o\$45bo347b4o\$393b4o\$391b6o\$393b4o\$392b
6o\$393b4o\$393b5o38\$47b2o2\$47bo2\$43b5o\$42bob2obo\$43b3obo\$42b5o346b3o\$
42bob4o344bobobo\$43bobobo344b4obo\$44b3o346b5o\$392bob3o\$392bob2obo\$392b
ob2obo\$393b3obo\$392b5o\$393b4o\$392b6o\$392b5o\$390bob5o\$391b5o\$391bob3o\$
393b2o\$393bo\$392b2o21\$47bo\$47b2o\$47bo2\$46bo\$43b3o\$41bob6o\$40bo2b5o\$39b
ob6o\$39bob6o\$40bob6o\$41bo5bo\$42bobo\$43b4o\$42bobo\$43b3o\$43b4o347bo\$42b
5o346b3o\$43b5o344b5o\$44b3o346b5o\$45bo347b4o\$393b4o\$392b3obo\$392b2ob2o\$
392b5o\$393b5o\$392b5o\$392b2ob2o40\$43b2o2\$42bob2o\$43b4o\$42b5o346b3o\$42bo
b4o344bobobo\$43bobobo344b4obo\$44b3o346b5o\$393b4o\$394b2obo2\$395b2o40\$
43b2ob2o\$43b5o\$42b5o\$43b5o\$43b2ob2o\$43bob3o\$43b4o\$43b4o347bo\$42b5o346b
3o\$43b5o344b5o\$44b3o346b5o\$45bo347b4o\$394b3o\$395bobo\$393b4o\$395bobo\$
392bo5bo\$392b6obo\$393b6obo\$393b6obo\$392b5o2bo\$391b6obo\$394b3o\$393bo2\$
392bo\$391b2o\$392bo21\$46b2o\$46bo\$45b2o\$44b3obo\$44b5o\$43b5obo\$43b5o\$42b
6o\$43b4o\$43b5o\$42bob3o\$42bob2obo\$42bob2obo\$43b3obo\$42b5o346b3o\$42bob4o
344bobobo\$43bobobo344b4obo\$44b3o346b5o\$392bob3o\$392bob2obo\$392b5o2\$
392bo2\$391b2o38\$42b5o\$43b4o\$42b6o\$43b4o\$43b6o\$43b4o\$43b4o347bo\$42b5o
346b3o\$43b5o344b5o\$44b3o346b5o\$45bo347b4o\$392b5o\$391b5o\$391b6o\$391b2ob
o\$318bo74bobo27b2ob2o\$50b3o49bo45bo4bo162b2o61bo12bo2bo27b5o\$48bob4o2b
o45bobob3ob2o35b3o3b2o2b2o6bo53b2o44b2ob3o3bo38bo3b4obob3ob2o47bobo3bo
9bo30b7o4bob2o\$47bobob7o48bo2b2obo38bob5o2bo2b4o50b3obo43b11o37b11o3b
2obo44b10o40b4o4b2ob2obo\$50b9o47b7o39b6o2bob6o48b6o44b3ob7o38b16o44b
11o39bob3ob9o\$48b2ob7o48b5obo39b6ob8o47bob4obo43b5ob5o40b13obo44b10o
42b2obo3b4obo\$51bob4o49bob2obo40b6o2bob4o48bo2b2obo44b10o43b5o3b2obo
45b9o42b6obob2obo\$55bo51bob2o44b3obobo2bo51bob2o47bo5bo46bo2b3ob2o46bo
bo4bo47bo3bob2o\$153bob2obo\$154bo2bo\$155b2o23\$48b2o\$47b3o\$45b4o\$43bo2b
4o\$43b7o\$43b5o\$43bobobo\$42b3o2bo\$43bobo\$45bo\$43bob2o\$42bob3o\$43b3obo\$
42b5o\$42bob4o\$43bobobo\$44b3o!
``````
Edit2:
Even better: 1/2/3/4/6/9/12/18/36:

Code: Select all

``````x = 557, y = 557, rule = B3-k4cejqz5e6-e78/S2n3-jk4-cjnw5c678
506b3o\$505bobobo\$505b4obo\$506b5o\$505bob3o\$506b4o\$505bob3obo\$506bobobo\$
504b8o\$509bo\$506b2o\$508b3o\$509bo\$508bobo32\$6bobo257b2o47b3o\$2b2o3b2o2b
obo40bo50b2o2b2o46bobo48b2obo3bob2o41bo3b4o43b2o3b2o45bo3b2o45b2obo2bo
45bo4b2o\$bob4ob2ob2o40b6o45bob5o45b3o48bob2o4bob2o40b4o2bo44bob5obo43b
5ob2o43bob2ob2o45b7obo\$ob7o2bobo38b5o46bob5obo43b5obo44bob7obob2o38b7o
44bob7ob3o39b8obo41bob6ob2o41b8obo\$7obobo40b7o45b6o3b3o39b6ob4o41b7ob
2o2b2o37b7obo13b3o27b12o39b6ob2obobo39b6obo43b8obo\$ob2obob2obo41b5o46b
ob2ob2o2bobo40b4ob2o44bob2obobo3bobo38b5o2bo10bobob2o27bob2obob4obo39b
7o2b3o39bob2obob3o42b7obo\$b2obobobo44bo50b2obo6bo41bo50b2obo6b2o40bo
14b2o2bobo29b2obo5bobo40bo5bo44b2obo48bo3bo37bo\$8bo357bo69bo69b3o\$436b
o68b5o\$436bo69b5o\$506b4o\$506b4o\$507bobo\$509bo25\$47b2o\$46bo2b2o\$46b3o\$
47b4o\$47b5o\$47b4o\$47b4o\$46b5o\$47b5o\$48b3o\$49bo10\$506b3o\$505bobobo\$505b
4obo\$506b5o\$505bob3o\$506b4o\$506bob3o\$509b2o\$508bo\$506b2o\$507bo\$505b3o
6\$52b3o14\$48bo\$48bobo\$46bo3bo\$47b4o\$47b2o\$46bob3o\$47b3obo\$46b5o\$46bob
4o\$47bobobo\$48b3o10\$507bo\$506b3o\$505b5o\$506b5o\$506b4o\$507b2obo\$506bo\$
506b3o\$507bo\$507bo\$507bo20\$49b2o\$50bo\$48b3o\$47bo\$46b4obo\$46bob3o\$47b2o
bobo\$47b4o\$47b4o\$46b5o\$47b5o\$48b3o\$49bo10\$506b3o\$505bobobo\$505b4obo\$
506b5o\$505bob3o\$506b3obo\$507b2o\$506bobo\$507b2o\$507bob2o\$508bo\$505b2o2b
2o\$505bob4o\$506b3o16\$48bob2o\$48b2o\$48b4o\$47bob2o\$45b2ob3o\$45b6o\$45bob
3o\$47b4o\$47b3obo\$46b5o\$46bob4o\$47bobobo\$48b3o10\$507bo\$506b3o\$505b5o\$
506b5o\$506b4o\$506b4o\$507b2o\$508bobo\$506b2ob2o\$510b2o\$510b2o7\$505bo\$49b
2o454bo\$49b3o454bo\$49bo\$50b2o453b2o\$507bo\$50bo454b3o\$51bo454b2o\$51bo7\$
45b2o\$45b2o\$46b2ob2o\$46bobo\$48b2o\$47b4o\$47b4o\$46b5o\$47b5o\$48b3o\$49bo
10\$506b3o\$505bobobo\$505b4obo\$506b5o\$505bob3o\$506b4o\$507b3obo\$506b6o\$
506b3ob2o\$506b2obo\$505b4o\$507b2o\$505b2obo16\$48b3o\$46b4obo\$46b2o2b2o\$
48bo\$46b2obo\$48b2o\$48bobo\$48b2o\$46bob3o\$47b3obo\$46b5o\$46bob4o\$47bobobo
\$48b3o10\$507bo\$506b3o\$505b5o\$506b5o\$506b4o\$506b4o\$504bobob2o\$506b3obo\$
505bob4o\$509bo\$506b3o\$506bo\$506b2o20\$49bo\$49bo\$49bo\$48b3o\$50bo\$46bob2o
\$47b4o\$46b5o\$47b5o\$48b3o\$49bo10\$506b3o\$505bobobo\$505b4obo\$506b5o\$505bo
b3o\$506b3obo\$508b2o\$506b4o\$506bo3bo\$506bobo\$508bo14\$502b3o6\$49b3o\$49bo
\$49b2o\$48bo\$46b2o\$46b3obo\$47b4o\$47b3obo\$46b5o\$46bob4o\$47bobobo\$48b3o
10\$507bo\$506b3o\$505b5o\$506b5o\$506b4o\$506b4o\$505b5o\$506b4o\$508b3o\$506b
2o2bo\$508b2o25\$47bo\$47bobo\$47b4o\$47b4o\$46b5o69bo\$47b5o68bo\$48b3o69bo
69bo357bo\$49bo37bo3bo48bob2o44bo5bo40bobo5bob2o29bobo2b2o14bo40b2o6bob
2o50bo41bo6bob2o50bo44bobobob2o\$84bob7o42b3obob2obo39b3o2b7o39bob4obob
2obo27b2obobo10bo2b5o38bobo3bobob2obo44b2ob4o40bobo2b2ob2obo46b5o41bob
2obob2obo\$84bob8o43bob6o39bobob2ob6o39b12o27b3o13bob7o37b2o2b2ob7o41b
4ob6o39b3o3b6o45b7o40bobob7o\$83bob8o41b2ob6obo41bob8o39b3ob7obo44b7o
38b2obob7obo44bob5o43bob5obo46b5o38bobo2b7obo\$83bob7o45b2ob2obo43b2ob
5o43bob5obo44bo2b4o40b2obo4b2obo48b3o45b5obo45b6o40b2ob2ob4obo\$84b2o4b
o45bo2bob2o45b2o3bo45b2o3b2o43b4o3bo41b2obo3bob2o48bobo46b2o2b2o50bo
40bobo2b2o3b2o\$239b3o47b2o257bobo32\$46bobo\$47bo\$46b3o\$49b2o\$47bo\$45b8o
\$46bobobo\$45bob3obo\$47b4o\$47b3obo\$46b5o\$46bob4o\$47bobobo\$48b3o!
``````
Edit3:
I got lazy: This is p4140=2*2*3*3*5*23. The largest cycle that works is 46 (which gives a p90), this is 2/3/4/5/6/9/10/12/15/18/20/23/30/36/45/46-cyclic (16 options).

Code: Select all

``````x = 10, y = 54, rule = B2n34cjqz5ey6-e78/S2n3-jk4-cjnw5c678
6bo\$3bobo\$5bo\$3b4o\$3b4o\$2b5o\$3b5o\$4b3o\$5bo25\$4b3o\$4b2o\$3b3o\$3b5o\$3bobo
\$2b2o\$3b2o\$3bo\$3bo\$ob2o\$5o2b2o\$5o2b3o\$ob7o\$3b3o\$4b2o\$3b4o\$3b4o\$2b5o\$3b
5o\$4b3o\$5bo!
``````
Edit4:
Unfortunately this is p6452=2*2*1613 (the latter is a prime):

Code: Select all

``````x = 7, y = 58, rule = B2n34cejqz5ek6-en78/S2n3-jk4-jnw5ceky678
2bo\$b2o\$2o\$obo\$3bobo\$bo2b2o\$2b2o\$2bo\$2b4o\$bob2obo\$2b3obo\$b5o\$bob4o\$2bo
bobo\$3b3o32\$4bo\$2bo4\$2b2o\$2b4o\$2b4o\$b5o\$2b5o\$3b3o\$4bo!
``````
The minimum distance between them is 85, thus 75 would fit in there.

This is p13284, but not really an RRO:

Code: Select all

``````x = 8, y = 6, rule = B2n3-k4ejqz5ek6-en78/S2n3-jk4-jnw5c678
3bo\$2b5o\$b6o\$8o\$b5o\$2bo!``````
Last edited by 2718281828 on July 15th, 2019, 9:26 pm, edited 2 times in total.

jimmyChen2013
Posts: 133
Joined: December 11th, 2017, 3:28 am

### Re: Reflectorless Rotating Oscillators (RRO)

Jesus christ.
Failed Replicator!

Code: Select all

``````x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo\$obo\$bobo\$2bo!
``````
(That I wish was not failed D:)

AforAmpere
Posts: 1079
Joined: July 1st, 2016, 3:58 pm

### Re: Reflectorless Rotating Oscillators (RRO)

Those are insane, 2718281828!
Here's a 2/3/4/6/12/17/19/34/38/51/57 from a similar search:

Code: Select all

``````x = 855, y = 864, rule = B34cjq5e6-en78/S2n3-jk4-jnqw5ceky678
192bo\$191b3o\$190b5o\$189bob3o\$188b6o\$187b7o\$187bob5o\$188bo2b3o\$189b2o2b
2o9\$187b3o\$187b2o\$188bo15\$192bo\$191b3o\$190b5o\$189b5o\$190b4o\$190b4o\$
190b4o\$189b6o\$189b5o\$193bo25\$192bo\$191b3o\$190b5o\$189b5o\$190b4o\$190b4o\$
191b2obo\$189b5o\$189bobobo2\$190bobo\$190bo\$190bo4\$191b3o\$190bobo\$193bo
16\$192bo\$191b3o\$190b5o\$189b5o\$190b4o\$190b4o\$190b4o\$191bobo\$190b3o\$191b
2o\$192bo24\$192bo\$191b3o\$190b5o\$189b5o\$190b4o\$190b3o\$191b4o\$189bob6o\$
189b6o\$188b2ob4o\$187bobob2o\$191bo\$189bo22\$192bo\$191b3o\$190b5o\$189b5o\$
190b4o\$190b4o\$190b3o\$191b2o\$191b2o\$191bo\$191bo\$191b2o\$191b3o\$191b4o4\$
301bo328bobo\$328b4o35b2o68bo102bo67bo20bobobo7bo136bo\$202b2ob2o25bob2o
bob2o32b2o27bobo2b2o13bo2bo3bo5bob3ob2o24bo2bob2ob2o30bob2o17b2o6bo3b
2ob2o30bob2o30bob2o23b2o4b2ob2o26bobobob2o29b2ob2o13b7o4bo3bobob2o32b
2o26bob3ob2o28b3ob2o22bo4bob2ob2o29b2ob2o30bob2o\$202bob2obo22b2ob4ob2o
bo20b3o6b3obo23bob7obo9b13ob3ob2ob2obo25b3o2b2obo28bob2obo16b5ob2ob7ob
o28bob2obo28b4obo22b6o2b2obo26b3ob2obo24bob2o2b2obo15bo7b2obobob2obo
28b4obo22b5o3b2obo23bo2bo3b2obo20bobobob2o2b2obo26bo3b2obo24b3obob2obo
\$202b5obo23bo2b6obo14bo3bob2o3bo2b4obo22bo2bob5obo9b23obo25b7obo27b5ob
o15b3o3bobo2b6obo23bo2b6obo28b4obo22b5ob4obo21b2ob8obo12b2o7bo4b6obo
26b6obo22b3o3b4obo25b7obo21bob9obo19b13obo27b5obo22b3o2b5obo\$201b8o23b
ob9o15bob3obo2bo2b7o25bob7o11b16ob6o24b10o25b9o14b5o2bob2o2b7o23bob9o
21bo6b6o23b3ob7o21bob11o13bo5bo3b3ob7o23bo2b8o20b7ob6o21bo2b10o21bob2o
b8o20b3o4b7o27b7o22b3ob8o\$201b3ob2obo24b2obo2b2obo13b2o2b4o4b4ob2obo
24b2obo2b2obo11b2ob8o3b2obob2obo27bo2b2obo26b3ob2obo15b2o3b2o2bo2bo2b
2obo24b5ob2obo30b2obo21bob2o3bob2obo21bo3b3o2b2obo12bob2o3bo3bob3o2b2o
bo24b3o3b2obo21b4obobob2obo27bo2b2obo21b2o2bobo2b2obo20b2o3b3o2b2obo
25bo4b2obo28bob2obo\$201b2obob2o29b2ob2o15b2obo9bobob2o24b2o3b2ob2o12b
5ob2o10bob2o29b2ob2o27b2obob2o15bob6o2b4obob2o24b2o4bob2o30bob2o22b2ob
2obobob2o26bo2b2ob2o14b2obo6b2o3b2ob2o25b2ob3ob2o18bobob3obo3bob2o29b
2ob2o24bo4b2ob2o29b2ob2o28b3ob2o30bob2o\$256bo70bo100b3o6bo136bo22b2o
10bo60b6o102b2o\$258bo170bo168bo71b4o\$670b5o\$669b5o\$670b3o\$671bo4\$192bo
\$191b3o\$190b5o\$189b5o\$190b4o\$190b4o\$191b2o\$189b3obo\$187b5o\$188b3o\$188b
2o\$188b5o\$187b4o\$188bo4bo\$190b3o5\$670bo\$671b2o\$670bob4o\$669bob4o\$670b
4o\$670b4o\$670b4o\$670b4o\$670b5o\$669b5o\$670b3o\$671bo4\$192bo\$191b3o\$190b
5o\$189b5o\$190b4o\$190b4o\$190b3o\$191b2o\$192bo\$190bo\$192bo\$187bobo2bo\$
186bo2b3o\$185b6o\$186b5obo\$187bo2\$669b2o\$669b4o\$670b5o\$670b5o\$670b2o2bo
\$670b3o\$670b2o\$670b4o\$670b4o\$670b4o\$670b5o\$669b5o\$670b3o\$671bo4\$192bo\$
191b3o\$190b5o\$189b5o\$190b4o\$190b4o\$190b2obo\$190b3obo\$190bo2bo\$187b2o\$
187bob4o\$190b2o\$190bo10\$670b4o\$670b4o\$668b7o\$670b4o\$670b4o\$670b5o\$669b
5o\$670b3o\$671bo4\$192bo\$191b3o\$190b5o\$189b5o\$190b4o\$190b4o\$190b3obo\$
190bobobo\$190b2o\$190bo\$190b3o\$190bob2o\$191bo2\$672bo\$670bobo\$669b4o\$
670b4o\$670b4o\$670b4o\$669b4o\$669b6o\$669b5o\$669bob2obo\$669bob3o\$670b4o\$
670b4o\$670b5o\$669b5o\$670b3o\$671bo4\$192bo\$191b3o\$190b5o\$189b5o\$190b4o\$
190b4o\$190b5o\$189bob3o\$191b4o\$190b2o\$188b2o\$189bo3\$673bo\$671b3o\$670bob
2o\$671b4o\$668bob2o2bo\$669b4o\$668b2o\$670bo\$668b3obo\$670b2obo\$670b4o\$
670b4o\$670b4o\$670b5o\$669b5o\$670b3o\$671bo4\$192bo\$191b3o\$190b5o\$189b5o\$
190b4o\$190b4o\$190b3obo\$192bobo\$190b3obo\$189b5o\$190b2obo\$190bo\$193bo\$
193bo7\$673bo\$670b2o2b2o\$670b3o\$671b2o\$671b3o\$670b4o\$670b4o\$670b5o\$669b
5o\$670b3o\$671bo4\$192bo\$191b3o\$190b5o\$189b5o\$190b4o\$190b4o\$190b4o\$191b
3o\$190b4o\$189bobobo\$188b2o2b2o\$190b2o\$190bo\$189bob2o\$189b3o\$189bobo\$
188b4o476b2obo\$188bo479b2obobobo\$189bo479b5o\$669b2o3bo\$190bo478bo4bo\$
189b3o479b2obo\$190bobo478b3o\$190bo478b3ob2o\$188b3o481b2o\$192bo477b4o\$
670b4o\$191bobo476b5o\$192bo476b5o\$193bo476b3o\$671bo4\$192bo\$191b3o\$190b
5o\$189b5o\$190b4o\$190b4o\$189b4o\$190b2obo\$190b2o\$190bo478bo\$189bob2o476b
3o\$189bo479bo6\$669b3o\$669b3o\$669b3o\$670b2o\$668b2obo\$668b5o\$668bob3o\$
670b5o\$670b4o\$670b4o\$670b5o\$669b5o\$670b3o\$671bo4\$192bo\$191b3o\$190b5o\$
189b5o\$190b4o\$190b4o\$190b3obo\$192b3o478bo\$191b3o\$192b2o6\$674bo\$673bobo
\$671bobobo\$673bob3o\$674b2o\$669b4o\$670b3obo\$670b5o\$670b4o\$668bobob2o\$
670b4o\$670b4o\$670b5o\$669b5o\$670b3o\$671bo4\$192bo\$191b3o\$190b5o\$189b5o\$
190b4o\$190b4o\$190bob3o\$188bob3o\$190b2o\$193bo\$191b2ob2o\$191b3o\$190b8o\$
189b9o\$189b2o\$193bo\$192b3o\$192bo\$192bo\$193bo477bo\$671bo\$190bobo479bo\$
190b2o477b2o\$190b3o480b2o\$191b3o475b5o\$190b5o475b4o\$190bob3o475b4o\$
191b4o475b5o\$192bo476b5o\$670b3o\$671bo4\$192bo\$191b3o\$190b5o\$189b5o\$190b
4o\$190b4o\$190b3obo\$190bobobo\$190b3obo\$191b3o473bo\$193bo473b2o\$191bo
475bo4bo\$191bo478bobo\$670b2obo\$674bo\$672bo2\$669b4o\$669b2o2bo\$670b7o\$
669bob4o\$670b5o\$670b4obo\$670bob3o\$671b3o\$670b4o\$670b4o\$670b5o\$669b5o\$
670b3o\$671bo4\$192bo\$191b3o\$190b5o\$189b5o\$190b4o\$190b4o\$190b6o\$191b3o\$
190b2ob2o473b2o\$191bo2bo470b3obo\$193bo472bo\$667bo2\$671bo\$668b3o2bo\$
668b8o\$671b2ob2o\$669bob2obo\$668b6o\$668b3o2bo\$668b2o\$672b3o\$672b3o\$669b
obo\$670b4o\$669b5o\$670b4o\$670b5o\$669b5o\$670b3o\$671bo4\$192bo\$191b3o\$190b
5o\$189b5o\$190b4o\$190b4o\$190b4o\$191b2o\$192bo\$191bobo\$192bo4\$671bo\$669b
2o\$669bob2o\$669b3o\$667bobo2b2o\$667b5ob2o\$668bo2b4o\$672b4o\$671b4o\$671b
4o\$671b3o\$670b4o\$670b4o\$670b5o\$669b5o\$670b3o\$671bo4\$192bo\$191b3o\$190b
5o\$189b5o\$190b4o\$190b4o\$190bob3o\$188b7o\$188b4o\$188bob2o\$189b4o\$189bo2b
o\$191bo\$189bob3o\$188b5o\$189bobo\$189b3o480bo\$669b4obo\$671b4o\$410b2o257b
ob3o\$670b3o\$409bo3b2o129b2o126b3o\$173bo133bobo105bo127bo2bo64bo4bo55b
3o\$3o24b2obo30b2obo5b2o23b2ob2o29b2obob2o27b2ob2obob3o23b2obo30b2ob2o
29b2obo4b2o2bobo19b2obo2b2obo24b2obo5bo24b2ob2o29b2o6b3obo21b2obo5bo
24b2obobo28b2obo30b2ob2ob3obo23b2obo3b2ob2o22b2obo2bo3b2o22b2obob2o25b
3o\$3obo21bob2obo2b2o24bob2ob2obob2o22bob2o2bobo2b2obo19bob2o3bo26bob2o
2b3ob2o22bob2ob2o3bo23bob2o2bobob3o21bob2ob6ob4o18bob2ob3obobo22bob2ob
o2bobobo21bob2o30bob4obobobobo2bo17bob2obo2bo3bo21bob2ob2ob3o23bob2ob
2o27bob2o2b6o5bo16bob2ob2ob6o20bob2ob5obo22bob2ob2obo23b4o\$o3bo21b10o
24b7obob3o21b7ob7o19b6obo26b9o3bo21b7o3bo23b7obo2b2o21b11o2b2obo17b8ob
ob2o21b8ob2ob2o20b7o4bobo20b5o2b3obo22b9o25b11o23b6o28b8o2b2obo20b9obo
bo2bo18b13o21b8o24b4o\$2ob2obo19bob7o25bob5o2b2o23bob11obo19bob4o28bob
8o2bo21bob4obobo24bob10o22bob5o4bo2b2o18bob5o4bo22bob7o2bo22bob4obo2b
3o21bob9obo21bob6ob4o21bob10o22bob8o24bob6ob2o3b2o2b3o13bob7o2bo3bo18b
ob7o3bo21bob6obobo20b4o\$bob3o21bob2o2b3o25bob5ob3obo21bob2ob3ob2obo21b
ob3o29bob2o3bobo24bob2o2b2o26bob2o3b4o23bob2obobob2obo21bob2ob2o3bobo
21bob2ob2o3bo23bob2o2bo3b3o21bob2ob3o26bob2o2b2obo24bob2o2b3o25bob4o
28bob2o2bo3b4o2bo2bo14bob2o2b2o3bobo20bob2o4b2o24bob4o5bo7bo11b5o\$6bo
21b2ob2o29b2ob3obo3bo22b2obo3bob2o23b2obo3b2o25b2ob3o28b2ob2o29b2ob3ob
4o23b2obo5bo24b2obo3bob2o23b2obo30b2obo6bo23b2obob2o27b2ob3obo26b2ob2o
2bo26b2obo30b2ob3o7bo4bo15b2ob2o2b4obo21b2ob4o27b2ob3o4bo7bo10b5o\$3bo
237b2o65b3o239bo31bobo65bo19b3o\$549bo100bo20bo17\$671bo\$670bo\$669bob2o\$
670bo2bo\$671b2o\$671bobo\$672b2o\$669b2o\$670b6o\$670bob3o\$669bob3o\$669b5o\$
670b4o\$670b4o\$670b5o\$669b5o\$670b3o\$671bo21\$672bo\$670bobo\$670b5o\$671b4o
\$671b3o\$671bobo\$671bobobo\$670b4o\$670b4o\$670b4o\$670b5o\$669b5o\$670b3o\$
671bo10\$672b2o\$670bob2o\$670b3o\$669bob2o\$670b3o\$671bo9\$672b2o\$670b4o\$
670b3o\$671b2obo\$671b3o\$670b4o\$670b4o\$670b5o\$669b5o\$670b3o\$671bo18\$670b
2o\$671bo\$672bo\$669b2o\$669bobo2\$670b2o\$670b4o\$671b2o\$670b4o\$668bobob2o\$
670b4o\$670b4o\$670b5o\$669b5o\$670b3o\$671bo25\$671b2obo\$670bob2o\$669bob4o\$
669bob3o\$670b4o\$670b4o\$670b5o\$669b5o\$670b3o\$671bo12\$672bo\$671b4o\$672bo
\$671b4o\$670b3o\$669bo2bo!
``````
EDIT, 2/3/4/6/7/12/13/14:

Code: Select all

``````x = 244, y = 252, rule = B2n34jqz5ek6-en78/S2n3-jk4-cjnw5cek678
55b2o\$54bob2o\$54b2ob2obobo\$55b3ob4o\$56bobo3b2o\$57bo\$56b2o\$57bo\$56b3o\$
58bo14\$56bo\$55b3o\$54b5o\$53b5o\$54b4o\$54b4o\$54b4o\$54b4o\$55b4o\$54b4obo\$
54bobobo\$57bo18\$60b3o\$59bobo\$61bo4bo113bo\$63b2ob2o110b3o\$61bobo2bob2o
83bo3bo20b3o\$62b2obo6bo8b2ob2o35bob2o28bo3bo2bob2o14b2o17b2o2b2o32b4ob
2o\$59b6ob4ob4obo3bo2b2obo30bo2bob2obo26bob3o2bob2obo12b3o17b5obo29bob
2o2b2obo\$63b11o6b6obo33b4obo23bo7b6obo20b2ob2o6b6obo31b6obo\$60bo3b12o
2bo2b7o30bob7o24b2ob2o2b8o20b3o2bobob10o30bob7o\$64bob10o4bobob2obo31b
3ob2obo23b2o4bob2o2b2obo21b3obobo2b3o2b2obo30b2ob4obo\$56bo10b2o2b2ob2o
7bob2o35bob2o25bo5b2ob2ob2o22b3o2b5ob3ob2o30b3obo2b2o\$55b3o8bob3o3b4o
107bobob2o3bobo\$54b5o9bo118bobo4b2o\$53b5o129bobo\$54b4o129b3o\$54b4o128b
4o\$54bobo129b4o\$54bo3bo127b5o\$185b5o\$186b3o\$187bo27\$187bo\$187bo\$56bo
128bo\$55b3o127b4o\$54b5o127b3o\$53b5o127bob3o\$54b4o128b4o\$54b4o128b4o\$
54b4o128b4o\$54b5o127b5o\$54b4o127b5o\$53b5o128b3o\$53b2obo130bo\$56bo27\$
187bo\$56bo130bob2o\$55b3o128b5o\$54b5o127b4o\$53b5o127b5o\$54b4o128b4o\$54b
4o128b4o\$54b4o128b4o\$54b3obo127b5o\$55b3o127b5o\$55b4o127b3o\$58bo128bo\$
56bo\$56bo27\$56bo\$55b3o\$54b5o\$53b5o127bo3bo\$54b4o129bobo\$54b4o128b4o\$
54b3o129b4o\$54bobo129b5o\$48b2o4bobo118bo9b5o\$47bobo3b2obobo107b4o3b3ob
o8b3o\$b2o2bob3o30b2ob3ob5o2b3o22b2ob2ob2o5bo25b2obo35b2obo7b2ob2o2b2o
10bo\$ob4ob2o30bob2o2b3o2bobob3o21bob2o2b2obo4b2o23bob2ob3o31bob2obobo
4b10obo\$7obo30b10obobo2b3o20b8o2b2ob2o24b7obo30b7o2bo2b12o3bo\$ob6o31bo
b6o6b2ob2o20bob6o7bo23bob4o33bob6o6b11o\$bob2o2b2obo29bob5o17b3o12bob2o
bo2b3obo26bob2obo2bo30bob2o2bo3bob4ob4ob6o\$2b2ob4o32b2o2b2o17b2o14b2ob
o2bo3bo28b2obo35b2ob2o8bo6bob2o\$63b3o20bo3bo83b2obo2bobo\$63b3o110b2ob
2o\$63bo113bo4bo\$182bobo\$181b3o18\$186bo\$185bobobo\$184bob4o\$185b4o\$186b
4o\$186b4o\$186b4o\$186b4o\$186b5o\$185b5o\$186b3o\$187bo14\$185bo\$185b3o\$186b
o\$186b2o\$186bo\$180b2o3bobo\$181b4ob3o\$181bobob2ob2o\$186b2obo\$187b2o!
``````
EDIT, this one can fit 74, but is only 2/4:

Code: Select all

``````x = 8, y = 6, rule = B2n3-k4ejqz5ek6-e78/S2n3-jk4-cjnw5cey678
2o2b2o\$b4obo\$2b4obo\$2b6o\$2bob2obo\$3bob2o!
``````
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

wildmyron
Posts: 1346
Joined: August 9th, 2013, 12:45 am

### Re: Reflectorless Rotating Oscillators (RRO)

Wow! All these high period oscillators are absolutely amazing.
The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki.

AforAmpere
Posts: 1079
Joined: July 1st, 2016, 3:58 pm

### Re: Reflectorless Rotating Oscillators (RRO)

2/3/4/6/11/12/22/23/33:

Code: Select all

``````x = 454, y = 476, rule = B2n34jyz5cekry6-en78/S2n3-jk4-cjnw5cek678
27b3o\$26bobobo\$26b5o\$27b3o\$29bo\$28b3o\$29b2o\$27bob2o\$29b2obo\$30b2o8\$28b
o\$27bob2o\$27bob5o\$28b3obo\$31bo25\$27b3o\$26bobobo\$25bob4o\$25b5o\$26b3obo\$
26b4o\$25b4o132b3o\$25b3o134bobo\$25bo3bo131bo\$28bo130b3ob2o\$26b2ob2o128b
3o116b3o\$25bo3b3o77b2obo46bob3o114b2o\$25b6o46bo31bobo5bo42b3o7bo18bo
23b3o62b2o21bo6bo121bo\$26b6obo2bo25bo10b2ob2o4bo16bo8bo7b2o10bo30b5o4b
4o2bo15b2o21bo6bo40bobo2bo30bo2b2obo8bo32bo12bo35b2o2b2o4bo42bo2bo\$26b
12o22bobob3o6bob3ob5o13b3o10b2ob3ob3obob7o28bob4obob9o12b2o10bo11b4ob
5o39bob5o26b3ob4o2bo2b7o30b2o9b5o35b2ob8o26bo5bo8b5o\$29b10o24bob2o6b
12o13b2o11b7obob10o22b2o5b4ob12o13bo9b3o6b2obo2b8o36bo3b6o26b6obo3b9o
29b2obo3b10o11bo20b14o23bobo5bob2obo2b7o\$27b13o25bo7b2ob10o13bo10bobo
4bob3o2b8o14b2obo3b2obo3b9ob8o21b2o8b2o3b10o38bob6o24b7obo2b11o22b2o2b
4o2b7ob6o10bo21b4o2b8o33bob11o\$29b3ob6o34bob10o14bo10bob2obo2b2o4b7o
14bob2o2b2o3b2ob3ob2ob3ob7o22b2o9bob3o3b5o37bob7o25b2o2b3obo2b3o2b5o
22bo2b8o3b10o33bo2bo3b6o36b3o2b5o\$28b4o5bo34bo3bo6bo15b2o10bob3o9bo3bo
15b3o4bo3bob5o3bob3o4bo45bo40bo4bo33bo4bo6bo23b16obo4bo34bobo8bo45bo\$
29bo44bobo23bo11bo12bo19bo6bo4b3obo7bo131bo35b2ob6ob2o5b2o\$145bobo11bo
179bobo2bo2b2o\$343b3o25\$27b3o\$26bobobo374b2o\$25bob4o371b3obo\$25b5o372b
o2bo\$26b3obo370b5o\$25bob3o371bob2o\$26bob3o372b2o\$27b4o370bob3o\$26b3obo
371b2o\$27bo373b4o\$28bo371bob2obo\$27b2obo369bob3o\$30bo370b5o\$27bo2bo
369b4obo\$28bobo369bobobo\$28bo372b3o23\$404b2o\$402bobo\$400bo4bo\$398b3ob
3o\$401bo\$400bobo\$403bo\$401b3ob2o\$27b3o374bo\$26bobobo371b3o\$25bob4o367b
2o2b3o\$25b5o368bo2b3o\$26b3obo366b8o\$25bob2obo369bob3o\$25bob2obo369bobo
bo\$26b4o373bo\$27b4o370b2o\$26b3o372b5o\$26bo2bo371b3obo\$29bo370bob3o\$
401b5o\$400b4obo\$400bobobo\$401b3o25\$399b2obo\$399b5o\$400b4o\$399b4obo\$
400b3obo\$401b3o\$27b3o373b3o\$26bobobo369b4o\$25bob4o371b4o\$25b5o372b3o\$
26b3obo370bobobo\$25bob3o373bobo\$25bo2b3o370b4o\$26bob3o368b7o\$26b3o370b
5obo\$25b4o371b4o\$25b4o370bob4o\$25bo2bo372b4o\$401b5o\$26bo373b4obo\$26bo
373bobobo\$401b3o15\$404bobo\$404b2o\$402bobo3bo\$402b2o3b2o\$402b2obo\$402b
3o\$401b6o\$403b3obo\$401bob3obo\$401bob5o\$401b5o\$401bo2b2o\$402bo2\$401b3o\$
402b2o\$27b3o371bob2o\$26bobobo371b3o\$25bob4o370bobobo\$25b5o372b4o\$26b3o
bo371b4o\$25bob3o374b2o\$26b4o373b2o\$28b3o370b2o\$26bob2o372bo\$27b3o371b
4o\$26b4o370bob2obo\$400bob3o\$26bobo372b5o\$26b3o371b4obo\$26b2o372bobobo\$
26b3o372b3o\$25bo\$27bo29\$27b3o\$26bobobo\$25bob4o372bobobo\$25b5o\$26b3obo
373bo\$25bob2obo369b2o2b2o\$27b3o370b3obo\$23b5obo369bob2obobo\$23b5o371b
6o\$23b5o373b3obo\$24b6o372b2obo\$24bo2b2obo370b4o\$24bobob2o371b5o\$26b4o
370b4obo\$28bo371bobobo\$30bo370b3o10\$27bo2bo\$28b2o\$27b4o\$28b4o\$30bobo\$
29b3o\$31bo2\$404b2o\$404b2o\$402b3obo\$402bo3bo\$403b4o\$403bob2o\$400b4o\$
402bo6\$27b3o\$26bobobo\$25bob4o\$25b5o375b3o\$26b4o372b3ob2o\$26b5o371b5o\$
25b6o368b2ob3obo\$26b5o369bob2obo\$27b4o369b4o\$28b3o370b3obo\$28b2o371b3o
bo\$28b3o369bob3o\$26b5o370b5o\$27b2o371b4obo\$26bobo371bobobo\$27b4o370b3o
10\$25bo\$25bo\$27bo\$25bo\$24b5o\$24bo2b2o\$27bo14\$402b2o\$27b3o370b4o\$26bobo
bo369b4obo\$25bob4o370bob3o\$25b5o371b6o\$26b3obo369bob5o\$25bob2obo367bob
3o2b2o\$25b3obo368b4o3bo\$25b5obo369bo2bo\$27bobobo368bo\$400b3obo\$29bo
370b4obo\$28b2o370bob3o\$28bob2o369b5o\$28b3o369b4obo\$27bob2o369bobobo\$
27bob2o370b3o\$28b3o\$29b3o\$28b4o\$26bob4o\$26b4o\$24bo3b2o\$24bo3bo\$24b3o\$
25b2o\$25b2o\$25bo7\$403b2o2\$400bo2bo\$399b2o\$400bo\$398b3o\$398bo\$401bo\$
399b2o\$399bobo\$401bo3\$27b3o\$26bobobo370bobo\$25bob4o\$25b5o369bobob3o\$
26b4o371b2obo\$25bob2o369b5obobo\$25bob3o369b4obobo\$25b5o370b3obobo\$24b
3o3bo368bob4o\$25b2o4b3o366bob2obo\$27b2o373b2obo\$26b7o368b4o\$26bo2bo
371b5o\$24bobo2b3o368b4obo\$24bo2b5o368bobobo\$25b2ob3o370b3o\$24b7o\$23bob
7o\$24b7o28bo182b2o93bo\$25b3obo28bob2o3bo37b2obo37bo91bo3b3o4bo81bo2bo
2b4o4b2o3bo28bo\$2bo2bobo4bo13b2obo18bo4bo3b4obo2bo28bo4b2obo2b3o2b2o
28bo5b2ob2ob2o32bo8bo36bo7b3o3bob2o28bo5bo2bobo34bo3bob4o2b2obo2bo4b2o
21bo6bo3bo7bo2bo\$b8ob3o12b3obo17b6obo2b2ob2o6bo24b15ob3o27b7o2bobobo2b
2o28b6o3bob2o33b10o5b3obo26b10obobo32b15o2bo4b2obobo18b7o2bob3o6bob2o
2b2o\$7o4bo12b3o19b8ob2obo3bob2ob4o21b6ob3ob9o26b6ob5obob4o27b9ob6o30b
6o2bobo2bo2b5o25b14obo30b13ob2ob2o4bo4bo17b9ob2ob3o2bo3b3obobo\$b11obo
10bob2o19b6o3bo7b2o4bo22b6o3bobob6o27b6o3b3o4b2o28b15o31b9o2bo2b5o27b
6o2b2ob2obo31b12o6bo7bo19b8ob2o3b3o2bob3obo\$2b7o15b2obo20b6o8bo2bobo
26b5o6bo3bo30b4ob6ob4obo28b6ob2o37b7o2b10o27b6o5b2o33b5ob5o2bo10b2o20b
4o2b2o2bob4ob5o2b3o\$3bo22bo22bo2bo10bobo29bo2bo42bo9b5o31bo4bo40bo3b3o
5b6o28bo45bo3bo2bo2b2o12bo21bo10bo3bob5ob3o\$153bob4o80bo6b4o83b2o61b2o
\$155b3o90b2o147bo\$156bo17\$400bob2o\$400b3o2bo\$399b5obo\$401b5o\$401b3obo\$
401bo\$402bo\$402b2o\$399b2obo\$402bob2o\$402b3o\$400bob2obo\$400bob3o\$401b5o
\$400b4obo\$400bobobo\$401b3o!
``````
This thing just shoots stuff super far away:

Code: Select all

``````x = 14, y = 8, rule = B3-k4cjyz5eky6-en78/S2n3-jk4-jnw5ceky678
5bo\$5bo\$3b4o3bo\$o2b4ob4o\$bobob8o\$bob2ob8o\$6b7o\$6bobo2bo!
``````
EDIT, 2/3/4/6/7/12/14/21/23/28:

Code: Select all

``````x = 10, y = 6, rule = B3-k4cjqz5eky6-en78/S2n3-jk4-cjnw5cek678
6bo\$2b6o\$4b5o\$o2b7o\$4b5o\$7bo!
``````
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Reflectorless Rotating Oscillators (RRO)

2/3/4/6/11/12/22/31/33/44/62/66:

Code: Select all

``````x = 782, y = 688, rule = B2n3-k4ej5ey6-e78/S2n3-jk4-cjnwy5cky678
627b3o\$626bobobo\$626b4obo\$627b5o\$626bob3o\$626bob3o\$627b3o2\$627b4obo\$
630bo2\$629b3o\$631bo\$630bo49\$627b3o\$626bobobo\$626b4obo\$627b5o\$626bob3o\$
627b4o\$630bo\$627b2o\$258bo367bobo\$107bo120b4ob3o22b2o26bo123bo214bob3o\$
3bo61bo39bobo19bo30bo4b2o24bo30bo4b2o3b4o17bo3b5o22bo3bo2bo23bo2bo2bo
24bo8b2o20bo30bo30bo3bo26bo30bo30bo3bo26bo30bo30bob5o\$2b8o54b7o36bo18b
6o25b8o23b5o26b7o2b7o15b4o2b4o21b8obo3bob4o12b8o23b12o19b6o25b6o25b4ob
o3bo21b5o3bo22b7o24b4ob3o23b6o25b6o25b8o\$b6obo3bobo48b6ob3obo2b2o2bo
43b5o26b8o23b6o25b7ob3obob4obo11b13o18b10o2bo3bobo12b9o22b6ob5o19b10o
3bobo15b6o25b6obo2b2o19b8o23b7o24b9o22b5o26b11o20b8o\$9o3bobo47b9obo3b
7o41b7o2bo21b11o20b10o21b9o4bob4obo10b9o3b2o17b6ob5o4b3obo10b9o22b10ob
3o17b10o3bobo15b10o21b8o23b9obo20b9o22b6o25b6o25b11o20b6o2bo\$b8obo52b
11ob2ob4o43b5o2bo23b6obo23b5o2b2o22b6ob3o4bobo14b6o3b2obo18b5o4b2o2bob
3o13b7o24b8o23b6o4b2o2b2o15b11o20b5ob2obo21b5o2b2o22b5obo24b10o21b4obo
25b6o2b2o21b6o\$2bo2b4o55bo4b2o4b6o45bo30bo4b2o24bo30bo13bo16bo30bo4bob
2o6b3o13bo5b2o23bo6bo23bo3bo4b5o17bo4bobo23bo3bo26bo3b2o2bo22bo30bo30b
o2bo27bo30bo\$6bo63bo7b4o145bo68bobo18bo60bo4b2obo146b3o90bo\$78bo218bo
7\$122b2o\$120bob2o\$118bo2bo2bo\$119b4o\$120bob2o\$120b3o\$119bob4o\$120b4o
503b3o\$120b3obo501bobobo\$119b5o502b4obo\$119bob4o502b5o\$120bobobo501bob
3o\$121b3o502bob2obo\$627b3o\$628b4o\$627bob5o\$627bob4o\$628bo3bo\$631bo2\$
631bo14\$122bo\$121bobob2o\$120b5o\$119b6o\$120b5o502b3o\$120b4o502bobobo\$
119b5o502b4obo\$119bob4o502b5o\$120bobobo501bob3o\$121b3o503b4o\$626b5obo\$
627b4o\$627b3o\$627bo\$630bo\$630b3o\$628bob2o\$629b4o\$630b3o5\$119bo\$121bo\$
118b2o\$119b3o\$120b2o\$120b3o2\$120b2o\$120b2o\$119b5o\$120b2o\$119bob3o\$119b
ob2obo502b3o\$120b3obo501bobobo\$119b5o502b4obo\$119bob4o502b5o\$120bobobo
501bob3o\$121b3o502bob2obo\$626bob2obo\$626bob3o\$626bob4o\$627b5o\$628b4o\$
629b3o\$629b3o\$629bo5\$626b2o\$122b2o503b2o\$118bo4b2o503bo\$119bo3b2o\$118b
o3b2o3\$119b2o\$118b3o\$118b2o\$119bobob2o\$122b4o\$121b5o\$120b4o503b3o\$120b
3obo501bobobo\$119b5o502b4obo\$119bob4o502b5o\$120bobobo501bob3o\$121b3o
503b4o\$626b6o\$627bo\$628bo\$626b2o10\$120bo\$119bo6\$124bo\$122bobo\$121b2o\$
121bo\$119b6o\$119bob2obo502b3o\$120b3obo501bobobo\$119b5o502b4obo\$119bob
4o502b5o\$120bobobo502b4o\$121b3o503bobobo\$629b2o\$628bo\$628bobo\$627b3o2\$
631bo\$627bob2obo\$628bob4o\$627b2obo12\$121bo2b2o\$120b6o\$119bob4o\$119b6o\$
120b4o\$119bob3o503b3o\$120b3obo501bobobo\$119b5o502b4obo\$119bob4o502b5o\$
120bobobo502b4o\$121b3o502b4obo\$626b5o\$626b5o\$625b7o\$625bob7o\$626bobob
2o\$629b3o16\$122b2o\$123bo\$123bo\$121b3o\$122b2o503b3o\$120b3obo501bobobo\$
119b5o502b4obo\$119bob4o502b5o\$120bobobo501bob3o\$121b3o502bob2obo\$626bo
b2obo\$626b4obo\$628b3o\$626bo2bo\$629bo\$628b3o\$630b2o\$630bo\$627b2o\$627bob
o\$626bobo6\$119bo\$118b2o\$121bo\$118b2o3bo\$123bo\$122b2o\$121b3o\$120b4o\$
119bob3o\$119bob3o503b3o\$120b3obo501bobobo\$119b5o502b4obo\$119bob4o502b
5o\$120bobobo502b4o\$121b3o504b2o\$626b3o\$627b4o\$627b2o\$630b2o\$629b3o\$
629bobo\$628b3o\$629bo10\$121bo\$120b3o\$119bobo\$119b3o\$119b2o\$122b2o\$120b
4o\$122b3o\$121b2o504b3o\$120b4o502bobobo\$119b5o502b4obo\$119bob4o502b5o\$
120bobobo501bob3o\$121b3o503b3obo\$627b3obo\$627b4o\$627b3o\$627b2o\$627bo\$
627bo3b2o\$629bo\$631b2o\$631bo6\$122bobo\$121bobo\$122b2o\$120bo\$119b2o\$120b
3o\$121bo\$121bo2bo\$120b3o\$119bob4o\$119bob2obo\$119bob2obo502b3o\$120b3obo
501bobobo\$119b5o502b4obo\$119bob4o502b5o\$120bobobo501bob3o\$121b3o503b2o
\$627b3o\$627bo\$627bo\$627b2o16\$119b3o\$119b2obobo\$117b7obo\$119b7o\$120b5o\$
120b5o\$119bob4o502b3o\$120b4o502bobobo\$119b5o502b4obo\$119bob4o502b5o\$
120bobobo501bob3o\$121b3o503b3obo\$627b4o\$626b6o\$626b4obo\$625b6o\$625b2o
2bo12\$120bob2o\$117b4obo\$118bob2obo\$119bo2\$121b3o\$120bobo\$122bo\$120b2o\$
119bobobo503b3o\$120b4o502bobobo\$119b5o502b4obo\$119bob4o502b5o\$120bobob
o501bob3o\$121b3o502bob2obo\$626b6o\$629bo\$628b2o\$626bobo\$626bo6\$631bo\$
630bo10\$123b2o\$122bo\$123bo\$119b6o\$120b4o503b3o\$120b3obo501bobobo\$119b
5o502b4obo\$119bob4o502b5o\$120bobobo501bob3o\$121b3o503b4o\$625b5o\$625b4o
\$626b2obobo\$631b2o\$630b3o\$630b2o3\$627b2o3bo\$626b2o3bo\$122bo503b2o4bo\$
122b2o503b2o\$123b2o5\$121bo\$119b3o\$119b3o\$119b4o\$119b5o\$119b4obo\$120b3o
bo\$119bob2obo\$119bob2obo502b3o\$120b3obo501bobobo\$119b5o502b4obo\$119bob
4o502b5o\$120bobobo501bob3o\$121b3o502bob2obo\$627b3obo\$629b2o\$627b5o\$
629b2o\$629b2o2\$628b3o\$629b2o\$629b3o\$631b2o\$629bo\$631bo5\$118b3o\$118b4o\$
119b2obo\$118b3o\$120bo\$123bo\$121b3o\$120b4o\$118bob5o\$120b4o503b3o\$120b3o
bo501bobobo\$119b5o502b4obo\$119bob4o502b5o\$120bobobo502b4o\$121b3o502b5o
\$626b6o\$626b5o\$624b2obobo\$628bo14\$119bo2\$119bo\$118bo3bo\$118b4obo\$117b
5obo\$119b4o\$121b3o\$119bob2obo502b3o\$120b3obo501bobobo\$119b5o502b4obo\$
119bob4o502b5o\$120bobobo501bob3o\$121b3o503b4o\$626b4obo\$628b3o\$627b2obo
\$628b4o\$626bo2bo2bo\$627b2obo\$627b2o7\$453bo253bobo\$124bo90b3o146bob2o4b
o60bo18bobo68bo183bobo\$128bo30bo27bo2bo30bo30bo22bo2b2o3bo26bo3bo23bob
o4bo17b5o4bo3bo23bo6bo23b2o5bo13b3o6b2obo4bo30bo16bo13bo30bo24b2o4bo
30bo25bo4bo47bo3bob4o4bo61bo\$124b6o21b2o2b6o25bob4o21b10o24bob5o22b2o
2b5o21bob2ob5o20b11o15b2o2b2o4b6o23b8o24b7o13b3obo2b2o4b5o18bob2o3b6o
14bobo4b3ob6o22b2o2b5o23bob6o23bo2b5o22b2ob6o44b5o3b3ob6o57bob3o\$122bo
2b6o20b11o25b6o25b6o22b9o20bob9o23b8o21b10o15bobo3b10o17b3ob10o22b9o
10bob3o4b5ob6o17b2o3b9o10bob4obo4b9o21b10o20b11o21bo2b7o18bobob9o43b4o
2b3o3b7o52b2o3b2ob2o\$122b8o20b11o26b5o22b9o24b7o23b8o19b2o2bob6o25b6o
15bobo3b10o19b5ob6o22b9o12bobo3bo2b10o18b13o11bob4obob3ob7o25b6o23b8o
26b5o18bobob9o46b5o2b9o56bo3bo\$121b8o25b6o25b6o23b3ob4o24b7o22bo3b5o
21bo3bob4o25b6o25b6o19b12o23b8o12b4obo3bob8o21b4o2b4o15b7o2b7o26b5o23b
8o25b6o22b9o46bob2ob11o\$121b5obo30bo30bo26bo3bo30bo30bo26bo3bo30bo30bo
20b2o8bo24bo2bo2bo23bo2bo3bo22b5o3bo17b4o3b2o4bo30bo24b2o4bo30bo21b2o
3b2o2bo48b3obo2b2o4bo\$121b3obo214bo123bo26b2o22b3ob4o124b4o\$122bobo
367bo\$122b2o\$120bo\$120b4o\$120b3obo\$119b5o\$119bob4o\$120bobobo\$121b3o8\$
123bo\$123bo\$121b5o\$123bo\$123bo7\$117b2obobo\$121b4o\$119b5obo\$118bob5o\$
118b6o\$120b4o\$121b3o\$120b3obo\$120b3obo\$119b5o\$119bob4o\$120bobobo\$121b
3o50\$116b4o\$116b3o\$116bob2ob2o\$118bo2bo\$121bobo\$122bobo\$120b4o\$119bob
3o\$120b3obo\$119b5o\$119bob4o\$120bobobo\$121b3o!
``````
Edit1:
1/2/3/4/6/12/13/26/29/39/52/58:

Code: Select all

``````x = 6, y = 47, rule = B2in3-kq4cjy5eky6-e78/S3-jk4-cjnw5ce678
3b2o\$2b2o\$b4o\$b4o\$5o\$b5o\$2b3o\$3bo25\$2bo\$2bo6\$bobo\$b4o\$b4o\$b4o\$5o\$b5o\$
2b3o\$3bo!
``````

calcyman
Posts: 2130
Joined: June 1st, 2009, 4:32 pm

### Re: Reflectorless Rotating Oscillators (RRO)

I think your 58 is currently the winner. (The 66 doesn't count, because they interact outside the loop.)
What do you do with ill crystallographers? Take them to the mono-clinic!

Gamedziner
Posts: 796
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Reflectorless Rotating Oscillators (RRO)

Some of these rules have other interesting patterns; I don't have time right now to list them though.

Code: Select all

``````x = 81, y = 96, rule = LifeHistory
58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.
A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A
\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!
``````

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Reflectorless Rotating Oscillators (RRO)

calcyman wrote: (The 66 doesn't count, because they interact outside the loop.)
Yes, but, still it is an 33-cyclic RRO by considering two 'ships' in a row.

A huge 1/2/4:

Code: Select all

``````x = 6, y = 8, rule = B2in3-k4cejz5ey6-e78/S3-jk4-cjnwy5ceky678
3bo\$b3o\$b4o\$b4o\$5o\$b5o\$2b3o\$3bo!
``````

AforAmpere
Posts: 1079
Joined: July 1st, 2016, 3:58 pm

### Re: Reflectorless Rotating Oscillators (RRO)

2718281828 wrote: A huge 1/2/4:

Code: Select all

``````Awesomness
``````
Wow, that one can fit 112! Nice job!

EDIT, the actual loop:

Code: Select all

``````x = 1505, y = 1533, rule = B2in3-k4cejz5ey6-e78/S3-jk4-cjnwy5ceky678
298bo\$298b3o\$298b2o\$297b3o\$296bobo\$297b2o\$297bo\$298bo\$298bo\$298bo24\$
297b3o\$296bobobo\$295bob4o\$295b5o\$296b3obo\$295bob3o\$296b4o2\$296b2o\$296b
ob3o\$298b3o\$297b3o\$298bo21\$298bo\$297b3o\$296b5o\$295b5o\$296b4o\$296b4o\$
296b4o\$294b5obo\$294b6o\$294bob2o\$294bob2obo\$294bobobo\$295b2o\$295b4o8\$
298bobo4\$300bo9\$297b3o\$296bobobo\$295bob4o\$295b5o\$296b3obo\$295bob3o\$
295bob3o\$296b4o\$296b4o\$297b4o\$296bo2b2o\$295bo2bo\$295b2o\$295b2o20\$298bo
\$297b3o\$296b5o\$295b5o\$296b4o\$296b4o\$296b2obobo\$297bobobo\$297b3obo\$298b
2o3\$296b3o\$296b2o8\$302bo\$300bobo\$297bo5bo\$300bo\$298bob3o9\$297b3o\$296bo
bobo\$295bob4o\$295b5o\$296b4o\$295bob4o\$296b4o\$299bo3\$297b3o\$297b3obo\$
298b3o\$297b5o\$297b7o\$297bob4o\$299bobo17\$298bo\$297b3o\$296b5o\$295b5o\$
296b4o\$296b4o\$297b2o\$296b3o\$295b5o\$294bobob3o\$299bo\$294b2obobo\$296bobo
\$296bo\$295b2obo\$296b2o2\$297bo\$299b2o\$297b3o\$297bo4\$294bo2\$295bo\$294bo
7\$297b3o\$296bobobo\$295bob4o\$295b5o\$296b3obo\$295bob2obo\$297b4o\$297bo\$
296b3obo\$296b2o2b2o\$296bob3o\$297bo\$297bo21\$298bo\$297b3o\$296b5o\$295b5o\$
296b4o\$296b4o\$296b4o\$296b4o\$296b3o\$295b6o\$295b5o\$297b3o\$297b3o15\$377b
3o565bo508b2o\$377b4o562b3o2b3o308b3o191bo2b2o\$352bo27b2o204bo58bo35b2o
bo230b3o21b2o2bob2o2b2o4bo137bo33b2o30b2o98b3obo157bobo29b6o34b2obo\$
319b2ob2o27b3o2bo15b6o2b2o2b2obob2o19b2o11bo25b6ob2o19b3o3b3o4bo24b3o
3bob2o32bo20bo8bo2b2o20b2o3b3o4bo21b2obob5ob2o21b2o3bo5bo24bobobo3b2o
27b2o3bo26bo3bob2o26bobo3bo24bo3b3ob2o27bo4bo20bo3bobo3bob2o12bob2obo
3b2o2b2o5bo30bob2o38bo30bob2o21b2o3b3o3bo26b3obob2o27bo4bo27bo4b2o23b
3ob2o3bo24b5o3b2o21b3o3b3o2bo27bo2bob2o32bo30bob2o32bo20b3o7bob2o28bo
3bo\$315bo2bo2b2obo19b2obo4b6o16b3ob3o3b3ob2obo19b2o3b3o2b4o23bo6b2obo
18b4o2b2ob6o22b3obobob2obo28b5o18b3o2b4ob4obo17bob2o2bob8o21bo4b2o2b2o
bo19b14o19bo4bo4b3obo18b2o3bob8o23b2ob6obo15b2ob2o5bob6o23bob2o3b2obo
24b2ob6o21b3obob2ob2obo13b2o3b3ob2o2b7o26bobob2obo34b5o27b2ob2obo20bob
ob3ob5o24bob3ob2obo23b10o25bo3b3obo22b4o2b5o24b8obo23bo4b5o26b3ob2obo
28b5o25bo2bob2obo23b2o3b5o19b4o2bo2bob2obo24bob7o\$311bo2bob8obo18b3o4b
8o15b4o2b11obo20b2ob2o2b6o20b12obo18bo2b5ob6o22b2ob7obo24b9o16bo2bo2bo
b8obo15b2o6b10o18b3obobob6obo18b15o12bobobobo2b2o3b6obo17b2o2bo3b8o22b
10obo11b2obo11b7o24b8obo22bob9o18bo2b2o3b6obo11b6ob2ob5ob6o27b5obo33b
6o19b2o2bo2b6obo18bob13o25b7obo24b9o23bo3b5obo20b13o22b3o2b5obo19b2o2b
3ob6o24bob6obo19bo7b6o22bobob6obo23bo2b7o19b7ob5obo24b9o\$311bob2obob8o
19bob2o3bob6o13b2o2b2ob13o21bobo2b8o19b14o18bo2bob11o24b9o24b10o15b3ob
o2b11o15b3ob2obob10o17bob2o3b9o19b15o12bo2b3ob4o2b8o16b3o2b13o20bob11o
15bo6bobob8o22b11o23b11o25b8o12b22o20b13o32b8o19b2obob9o20b2obob9o23b
10o22b12o22bobob7o21b3ob9o20b13o21bo2bo3b6o24bob7o15bobobo5b9o19bob4ob
7o21b13o19b14o24bob8o\$297b3o11bob2obo2bo2b2obo21bobob8o17bo3b4ob2o2b2o
bo20b7ob5o18bo3b4o4b2obo19b2o2b4ob5o25b4ob2obo27b6o17bo2b2o4bobob2obo
16bobob2obobo2b5o19bo2b2o2bo3b2obo20b13o19bobob5o2b2obo17b4ob11o22bo2b
obo2b2obo14bo2bo5bo3b6o22bo2bo4b2obo22b3obob5o27bo2b2obo12b6ob5o4b5o
22bob2ob2ob2obo34b5o18b2o2bo2b2obob2obo20bo4b8o23bob2o3b2obo22b2o2b7o
24b2o2bob2obo20bob2o3b6o20b5o2b2ob2obo25bob6o25bo2bob2obo15bobo8b7o23b
obobo2b2obo22bob9o19b2ob4ob2ob2obo15b3o6bo3b5o\$296bobobo19b2ob2o22b5o
5bo17bobo5bo3b2ob2o20bobobo3bo3bo24bobo2b2ob2o24b3obo3bo28bobob2o32bo
18b2o10bob2o16b2ob2o2bo8bo21b3o3b4ob2o22bo3bo5bo24b2ob2obob2o18b3obo2b
2obo3bo24bo2bob2ob2o20bob2o3b3o2bo27b4ob2o28bo3bo29b2ob2o17bo3b3ob4o3b
o24bobo3bob2o38bo23b3o4bob2o26bobo3bo27b4ob2o25b2obo3bo22bo2bo4bob2o
22b2o8bo26b2o2bob2o27b3o2bo30bob2o16bo10b2o3bo23bo5b2ob2o24b4o4bo22bo
3bo3bob2o16b2obo12bo\$295bob4o48b4o62b2ob2o29bo33bo126bobobo35bo69bo31b
o2bo58bobob2o2bo233bobo132bobo31bo71bo188b2obo\$295b5o50bo66bo29b3o162b
2o104bobo93b3o444b2o88bo136bo\$296b3obo147bo364b4obo\$296b3obo513b2o\$
295b5o513b2obo\$295b3obo515bo\$297bo745bobo\$1043bobo\$1043bobo2\$297bo\$
1233bo5\$1231b2o3\$1231b3o\$1231bobo\$1232b4o\$1232b3o\$1231b4o\$1231b4o\$
1231b4o\$1231b5o\$1230b5o\$1231b3o\$1232bo2\$298bo\$297b3o\$296b5o\$295b5o\$
296b4o\$296b4o\$296b6o\$295b5o\$296b2ob2o\$299bo6\$296bo936bo\$1232b2obo\$
1233bo\$1231bo4bo\$1231b5o\$1231b3obo\$1230b3obo\$1231b4o\$1230bob3o\$1231b3o
bo\$1231b3obo\$1231b3obo\$1230bob3o\$1231b5o\$1230b4obo\$1230bobobo\$1231b3o
3\$297b3o\$296bobobo\$295bob4o\$295b5o\$296b3obo\$295bob2obo\$296b4o935bo\$
296b2o936bobo\$295bob3o934b2o\$296bo935bo2bobo\$298b2o932bobobo\$297bo934b
4obo\$1230b6o\$1232bob3o\$1231bo3b2o\$1235b2o\$1233b3o\$1231b2o2bo\$1232bo\$
1233b2o\$1232bobo\$1231b7o\$1231b3o\$1233b2o\$1230bobobo\$1231b4o\$1230b5o\$
1231b4o\$1231b5o\$1230b5o\$1231b3o\$1232bo2\$298bo\$297b3o\$296b5o\$295b5o\$
296b4o\$296b4o\$296b4o\$296b3o\$296b3o\$295b4o\$294b4o8\$1232bo\$1230b3o\$1231b
obo\$1231b2o\$1228b6o\$1231b3obo\$1229bo4b2o\$1231bob2o\$1230b4obo\$1230bob3o
\$1231b5o\$1230b4obo\$1230bobobo\$1231b3o3\$297b3o\$296bobobo\$295bob4o\$295b
5o\$296b3obo\$295bob2obo\$296b3obo\$297b3o\$296bob3o\$297b3o\$296bob2o\$297b2o
\$297b3o4\$1234bo\$1233bobo\$1231b3obo\$1230b2o2bo2\$1230b3o2\$1233bo\$1231bob
2o\$1231bob2o\$1231b4o\$1231b4o\$1231b5o\$1230b5o\$1231b3o\$1232bo2\$298bo\$
297b3o\$296b5o\$295b5o\$296b4o\$296b4o\$296b4o\$297bobo\$296b2obo\$295bobo\$
295b4obo\$296b2o\$296b2o3bo\$296b5o933bo\$297b5obo928b2o\$298b6o929b2o\$298b
o3bobo927b4o\$301b3o2b2obo920bobob2o\$299bo5b5o921b2ob3o\$299bo3b6obo919b
ob4o\$299b3o2bob2obo922bo2bo\$302b2obob2o923b2o\$1232b2o\$1232bo\$1231b4o\$
1230bob2obo\$1230bob2obo\$1230bob3o\$1231b5o\$1230b4obo\$1230bobobo\$1231b3o
3\$297b3o\$296bobobo\$295bob4o\$295b5o\$296b3obo\$295bob3o\$297b2o\$296bo\$295b
2ob2o\$295bo\$295b6o\$295b5o\$293b2o4b2o\$294bo2bo2bo\$297bo\$296b4o\$298bo\$
298bo4\$1232bo\$1231b3o\$1231b2o\$1232b2o\$1231bob3o\$1231b4o\$1231b4o\$1231b
5o\$1230b5o\$1231b3o\$1232bo2\$298bo\$297b3o\$296b5o\$295b5o\$296b4o\$296b4o\$
295b5o\$294b7o\$295bob4o\$297bob2o\$298b2o\$298bobo\$298bo\$297bobo10\$1234bo\$
1233b2o\$1231b4o\$1230bob2obo\$1230bob3o\$1231b5o\$1230b4obo\$1230bobobo\$
1231b3o3\$297b3o\$296bobobo\$295bob4o\$295b5o\$296b3obo\$295bob4o\$295bob3o\$
296bobo\$294bobob2o\$294bobobo\$294b5o\$294bo2b3o\$294b2ob3o\$293bo4b2obo\$
294bo3b2o\$295b7o\$294b2ob2obo931b2o\$296b2obo932bo\$294bobobobo931b2o\$
294b3obobo931b2o\$297bob2o930bo\$296b2ob2o929bob2obo\$296bobo932b2o\$296bo
bo933bo\$1232b2o\$1232b3o\$1231b4o\$1231b4o\$1231b5o\$1230b5o\$1231b3o\$1232bo
2\$298bo\$297b3o\$296b5o\$295b5o\$296b4o\$296b4o\$296b4o\$298bo\$296b4o\$297b2o\$
296bo933b2o2bo\$296bo933b2o2b2o\$295bobo931b6o\$294b2ob2o930bobo\$294b2ob
2o932b2o\$298bo\$295b2o2\$1231bobo\$1232bo\$1233bo\$1232bo2\$1233bo\$1233bo\$
1231b5o\$1230bob4o\$1230bob3o\$1231b5o\$1230b4obo\$1230bobobo\$1231b3o3\$297b
3o\$296bobobo\$295bob4o\$295b5o\$296b3obo\$295bob2obo\$296b4o\$296b2o\$296b4o\$
296b2o\$295b5o\$295bob2obo934bo\$296bobo934b5o\$298bo929bob3ob4o\$1228bobob
3ob2o\$1229b6obo\$1228b7o\$1228bob4o\$1229bo2b2obo\$1230bob2o\$1232bo\$1233b
3o\$1231b2o3bo\$1230b2o3bo\$1229bob4o\$1229b6o\$1230b5o\$1231b4o\$1231b5o\$
1230b5o\$1231b3o\$1232bo2\$298bo\$297b3o\$296b5o\$295b5o\$296b4o\$296b4o\$297b
2obo\$295bob4o\$295b2o2b2o\$295b2ob2o\$295b3o2bo933bo\$296b2o932b2ob4o\$
1230b3ob3o\$1230bobob3o\$1230b4o\$1230b3obo\$1230b3obo\$1228b2o\$1230b3o\$
1234bo\$1231b2obo\$1230bob3o\$1231b4o\$1228bobobob4o\$1228bobobob2o\$1231b4o
bo\$1231b4o\$1230bob3o\$1231b5o\$1230b4obo\$1230bobobo\$1231b3o3\$297b3o\$296b
obobo\$295bob4o\$295b5o\$296b4o\$295bob4o\$296b5o\$295b6o\$296b3obobo\$295bob
3obo\$296bo2bobo\$300bo930b2o\$300bo2bo\$300b2obo927b3o\$301b4o\$301b4o927bo
3\$297bo933bo\$296bobo\$296b2obo\$298bo\$298bo\$1233b3o\$1230b6o\$1231b4o\$
1231b4o\$1231b4o\$1231b5o\$1230b5o\$1231b3o\$1232bo2\$298bo\$297b3o\$296b5o\$
295b5o\$296b4o\$296b4o\$296b4o\$295b5o\$296b4o\$295bob3o\$296b2o\$296b2o\$295bo
2bo2\$1233bo\$1231b2o2\$1232bo\$1231b2o\$1231b3o\$1231b3o\$1232b4o\$1230bob2o\$
1230b4obo\$1230b4o\$1231b3o\$1230bob3o\$1230bob3o\$1231b5o\$1230b4obo\$1230bo
bobo\$1231b3o3\$297b3o\$296bobobo\$295bob4o\$295b5o\$296b3obo\$295bob2obo\$
295bob2o\$296b4o\$296b4obo\$295b6o\$294bob4o\$295b4o\$295b4o\$296b2o\$298b2o
934bo\$296bo2bo934bo\$297b2o935bobo\$299bo933b2o\$299bo935bo\$1231b4o\$1229b
5obo\$1229b5o\$1230b5o\$1232bob2o\$1229bo2bob3o\$1231bob3o\$1231b4o\$1231b4o\$
1231b5o\$1230b5o\$1231b3o\$1232bo2\$298bo\$297b3o\$296b5o\$295b5o\$296b4o\$296b
4o\$296b3o\$297b2o\$297bo3bo\$297bo3b2o\$301bo\$301bo\$296b2o4bo\$296b2obo\$
300bo\$297bob2o928b2o\$296bobo930b2o\$297b3o931bo\$296bobo\$297b2o931b2o\$
297b2o932b4o\$1231b3obo\$1231b3o\$1233b2o\$1233b2o\$1231b4o\$1230bob2obo\$
1230bob3o\$1231b5o\$1230b4obo\$1230bobobo\$1231b3o3\$297b3o\$296bobobo\$295bo
b4o\$295b5o\$296b3obo\$295bob3o\$296b4o\$296b4o\$296b4o\$296b5o\$298b2o\$295bob
2obo\$297b2obo\$296b4o\$296b5o\$294bob3obo\$295b3obo\$295b4o\$1234bo\$1233bo\$
1232b2o2\$1231b2o\$1229bobo\$1231b5o\$1231b4o\$1231b4o\$1231b4o\$1231b5o\$
1230b5o\$1231b3o\$1232bo2\$298bo\$297b3o\$296b5o\$295b5o\$296b4o\$296b4o\$296b
5o\$294bob4o\$294bob3o2bo\$296b2o\$293b2o2bo\$295b3o\$295bob4o\$295bob5o\$294b
3o2b2o\$294b5o\$294b4o\$296b2o4\$1231bo\$1231bo2bo\$1231b3obo\$1232b3o\$1231b
5o\$1230bob3o\$1230bob3o\$1231b5o\$1230b4obo\$1230bobobo\$1231b3o3\$297b3o\$
296bobobo\$295bob4o\$295b5o\$296b3obo\$295bob3o\$295bob2o\$295bobobo\$297b2o\$
295b5o\$293b6o\$294bo3bo937bo\$298b3o933b2o\$299b2o933b2o\$298b2obo930b2o\$
298b3o931b2o\$296b4o933b2obo\$294bo2bob3o930b4o\$295b5o932b3o\$297bobo3\$
1231b3o\$1230bob2o\$1231b3o\$1229b6o\$1231b4o\$1231b4o\$1231b5o\$1230b5o\$
1231b3o\$1232bo2\$298bo\$297b3o\$296b5o\$295b5o\$296b4o\$296b4o934bo\$296b3o
931b2o2bo\$296b3o930b2ob2o\$295bob2o928bobob2obo\$296b4o929bobo3bo\$296b3o
932bo2b2o\$295b4o931b3o2b2o\$295bo2bo931b6o\$295b3o931bob5o\$1230b7o\$298bo
933b5o\$296b2o936b4o\$1234b4o\$295bo939b4o\$1234b5o\$1234b2o\$1233b3o\$1232bo
b4o\$1233b5o\$1231bob3o\$1231b5o\$1230bob3o\$1230bob3o\$1231b5o\$1230b4obo\$
1230bobobo\$1231b3o3\$297b3o\$296bobobo\$295bob4o\$295b5o\$296b3obo\$295bob2o
bo\$296b4o\$296b4o10\$1233bobo\$1231bo2b2o\$1230bo2b2o\$1230b2o2bo\$1231b3obo
\$1230bob2o\$1230bob2obo\$1230bob2obo\$1230bob3o\$1231b4o\$1231b4o\$1231b5o\$
1230b5o\$1231b3o\$1232bo2\$298bo\$297b3o\$296b5o\$295b5o\$296b4o\$296b4o\$296b
4o\$297b3o\$296bobo\$296b3o\$297b2o\$294b2o\$295b4o\$296bo\$295bobo2\$1235b3o\$
1237b2o4\$1232bo\$1234bo2\$1233bo\$1234b2o\$1230b5o\$1230bob3o\$1231b5o\$1230b
4obo\$1230bobobo\$1231b3o3\$297b3o\$296bobobo\$295bob4o\$295b5o\$296b3obo\$
296b3obo\$294bob3obo920bo\$294b6o921bo\$294b6o921b4o\$295b5obo921bo\$294bob
6o918bo4bo\$294bobobo2bo\$295b3obo927bobo\$296bobo928bo2bo\$1228bo\$296bo
935b2o\$296b2o932bo3bo\$296bo933bobo\$1233b2o\$1231bo\$1230bob2o\$1229bobo\$
1228b2o\$1230b2o3b3o\$1230b6o\$1230bob2o\$1232b3o\$1231b4o\$1231b5o\$1230b5o\$
1231b3o\$1232bo2\$298bo\$297b3o\$296b5o\$295b5o\$296b4o\$296b4o\$298b2o\$295b2o
bo\$295bo\$297bo\$298b3o\$294b5ob2o\$298b2o\$297bob3o\$297b2obo\$296bobo934bo\$
1233bo\$1231b2o\$1231bobo2\$1231bob2o\$1230bo2b2o2\$1236bo\$1232bob3o\$1231b
4obo\$1230b5o\$1230bob3o\$1231b5o\$1230b4obo\$1230bobobo\$1231b3o3\$297b3o\$
296bobobo\$295bob4o\$295b5o\$296b3obo\$296b3o\$296b3ob2o\$296bob3obo\$301bo\$
301bo\$300bo\$298b2o\$297bo2bo\$295b2o2b2o\$295b2obo\$296bo5\$1231bo\$1233bo\$
1231b4o\$1234bo\$1232b3o\$1231b4o\$1231b4o\$1231b4o\$1231b5o\$1230b5o\$1231b3o
\$1232bo2\$298bo\$297b3o\$296b5o\$295b5o\$296b4o\$296b4o\$296b2obobo\$296b4o\$
296b3obo\$295b5o\$295bob4o\$294b6o2\$295b2obo\$297b2o\$293bobob5o\$297b2o\$
295bob3o\$295b4o\$293bob4o\$293b4o2bo\$293b4o\$295bo939bo2\$1230b7o\$1230bob
3obo\$1230bob3o\$1230bob3o\$1231b5o\$1230b4obo\$1230bobobo\$1231b3o3\$297b3o\$
296bobobo\$295bob4o\$295b5o\$296b4o\$296b5o\$295b5o\$295b5o\$295b3ob2o\$293b3o
\$296bobob2o\$301bo\$296bob2o\$299bo\$297bo\$297bo\$296b3o3\$1230bo\$1231bobo\$
1228b3o2bo\$1230b3o\$1230bob2o\$1231bob2obo\$1232b3o\$1231b4o\$1231b4o\$1231b
5o\$1230b5o\$1231b3o\$1232bo2\$298bo\$297b3o\$296b5o\$295b5o\$296b4o\$296b4o\$
296b4o\$296b3o\$295b4o\$297bobo\$298bo\$297bo\$298b2o\$295b5o\$297b3o\$297b2o2\$
485bo\$484b4o\$484b4o\$483b4o746bo\$482b2obo745b5o\$483bobo745b5o\$481bobo
231bo515bob2o\$480b2obo229bo2b2o514b2obo\$180bo298bobo104b2o124bobo25bo
368b2o120b3obo\$40b3o94bo16b4o21b3o55bo3bo98bo29bo100b2o10bo97b2obob2o
50bo68bo3b6o94bo35bo32b3o90bo107bobo24bobo31b2o3bo82bob2obo\$o30bo9bobo
20b2obo3b2o25bo32b2ob2o3bo15bo9bo9bob2obo17b2obo5bo24bo7bo24b2obo4bo
25bo32b2ob2ob3o25bo3bo28b2ob2o29bo3b3obo24b2obob3o5bobob2o15bo6bobo23b
2ob4obo25bo3b2o9bobobo13b2ob2o29bo3bo2b2o24b2obob2o27bo3bo2bob2obo20b
2obo2bo2bo24bo3bo28b2obo6bo23bo10b3o2bo16b2ob2o6b5o18bo14b4o14b2obo30b
o32b2obo30bo3b2o3b2o22b2ob2o2b3o2bobo19bo4b4o24b2ob2o6bo2bobo17bo5b3o
24b2ob2o8bo13bob3o\$obo27b5ob3o2b2obo18bob2ob2ob2o24b10ob2o20bob2o2b5o
23b5obo4b6o16bob2obo28b8o2bo22bob2ob6obo21b6o27bob2o3b3o24b7obo24bob2o
2bob2o24b5o3b4o21bob2ob3o2b2obo7bo12b5o3bobo22bob2o4b3o23b7o9b2obo13bo
b2o2bob2o2b4o18b7obo24bob2ob4o25b5ob4obo21bob2ob2ob3o23b5ob3o2b2o20bob
2ob2o3bo2bo3bob2o13b10ob8o14bob2o2bobo2b7o16b5o2bo6bob3o14bob2obob2obo
b3o19b6o27bob2ob4obobo21b5o2bo2bob2o19bob2o3b2ob4o2bo17b5o3b3o3bo18bob
2o2b8ob3o2b2o12b10o5bo17bob2o2bo7b3o12b5o\$b5o23b6ob2o4b3o18b12obobo17b
10o2bo21b9o24b7o3bo2bo3b2o15b8obobo2bo4bo13b9o2bo22b11o2bo19b11o23b9o
24b11o23b10obo21b16o18b8o25b8o2bo5bo17b11o22b8obo2bo4b4ob2obo8b7obo6bo
17b11o2bo20b8obo23b11o23b11o22b9ob4ob2o17b7o2bo3bo2b2o3bo11b19o15b7o2b
o2b4o17b9ob4o2b3obo13b9ob4o19b6obo2bo23b10ob3o19b13o4b2o15b7o4b4o18b6o
b5o3bo18b6ob6o4b4obo10b9o2bobob2o17b9ob3o3bo11b4obo\$2b2o26b6obo4b3o18b
ob14o18b7ob3obobo18bob5o2b2obo21b6ob3o23bob5o3b8o16b7o4bo21bob10o22b
10o23bob7o25b6o2b3o22bob8o2bo21b6o3b2ob2o19bob6ob2obobo19b6o2b2obobobo
17bob9ob2o20b7ob4o2b6o4bo8bob6obo2b4o18b6obob4o20bob8o24b11o22bob5ob4o
b2o19b7ob5o20bob6o5bo20b6ob12o14bob4obo5b5o16b6ob2obo4bo3b3o11bob10obo
bo18b7o2bo23bob5o2b2o23b16o2bo14bob4o4b2obobo18b6o27bob9o2bo2b5o13b8o
3bo2bo2bo15bob7o2bo2b3o11bobobo\$b3o27b6obo25bob2o2b4ob3obo18b8o3bob2o
18bob3o7bobo19b6obo25bob2obo2bobobobo19b6obo25bob2ob5o24b8o25bob2o2b3o
25b7o26bob2ob2o2bo24b7o2bo23bob2ob2o6b2o19b6o4bo22bob7obobo21b8o3b7o3b
3o9bob2obo4b6o18b6obobob2o20bob2obo2b2o24b8o25bob2o2b4ob3o20b9ob2o2b2o
17bob2ob2o5bobo19b8o3bob2ob3o14bob6ob7o18b4o2bo4bo4b2obo13bob2o2bobo2b
o22b5o28bob2obo4b2ob2o19b11o3bobo16bob3o6b2o21b7o26bob2ob5o5b7o12b5o2b
ob4o20bob2o2bob2o18b3o\$32bo4bo27b2obob5ob3o20bo5bo3b2obo19b2o9bo22bo4b
o27b2obo5bob2o21bo5b3o24b2obo4b2o24bo4b2o26b2ob2o2bo26bo32b2obo2bo2b2o
23bo32b2ob5o26bo5b2o4bo20b2o2b3obo25bo2b3o2bob3o2b3o15b2obo5bob5o18bo
8bo23b2obo5b3o22bo5b3o24b2ob2obob2o24bo5bobo3bo20b2ob2o29bo6bo5bobobo
15b2o7bobob4o17bo3bo12bo15b2obo3b2o25bo32b2obo30bo3bo2b3o3bobo17b2o7bo
bo22bo2bo29b2obo5bob10o13bo3b2o3bo23b2ob2o\$70b4o2b2o25bo5bobo397b3o29b
o30bo2b7o29bob3o59bobo95bo7bo69bo29bo160bobo5bo100b2obo24b3o\$70b3o37bo
398b3o29bo33bob2obo31bo537bobo4b2o20bo\$577bobo17\$1230b2ob2o\$1229bob3ob
o\$1230b5o\$1231b4o\$1231b4o\$1231b4o\$1231b2obo\$1231b4o\$1231b4o\$1231b4o\$
1231b5o\$1230b5o\$1231b3o\$1232bo21\$1231bobo\$1231b6o\$1232bobo\$1232b2obo\$
1233b2o\$1232bo2bo\$1233bobo\$1231b3obo\$1230bob3o\$1231b5o\$1230b4obo\$1230b
obobo\$1231b3o20\$1234b2o\$1233bo\$1232b2o2\$1233bo3\$1231bob2o\$1230bob4o\$
1231b4o\$1231b4o\$1231b5o\$1230b5o\$1231b3o\$1232bo14\$1227bobo\$1227bob3o\$
1227b3obo\$1230bobo\$1229bob2o\$1230b2o\$1232bo\$1232bo\$1233bo2\$1232b2o2\$
1233bo\$1233bo2bo\$1230b5o\$1230bob3o\$1231b5o\$1230b4obo\$1230bobobo\$1231b
3o5\$1229bo\$1229bo14\$1234bo\$1232b2o2\$1231bobo2\$1231b3o\$1231b3o\$1232b2o\$
1231b5o\$1231b4o\$1231b4o\$1231b5o\$1230b5o\$1231b3o\$1232bo17\$1234b2o\$1236b
o\$1236bo\$1235b2o\$1234b2o\$1232bo\$1229bo\$1230bob2o\$1228b5obo\$1228bobob2o
\$1231b3o\$1231b4o\$1230bob3o\$1231b5o\$1230b4obo\$1230bobobo\$1231b3o16\$
1233bo\$1233bo2bo\$1233b2o2bo\$1232b5obo\$1233b4obo\$1232b5obo\$1232b6o\$
1230bob6o\$1230b5o\$1231b3obo\$1231b2obo\$1230bob2o\$1231b4o\$1231b4o\$1231b
4o\$1231b5o\$1230b5o\$1231b3o\$1232bo15\$1232bo\$1231b2o\$1230b2o\$1230b2o\$
1230bobo\$1230bo2\$1230bo2\$1232bo2bo\$1233b2obo\$1232b5o\$1232b3obo\$1231b4o
\$1230bob3o\$1231b5o\$1230b4obo\$1230bobobo\$1231b3o24\$1234bo\$1232b3o\$1233b
o\$1232bobo\$1232b2o!
``````
EDIT 2, this one can fit 91, not quite as much, but a lot:

Code: Select all

``````x = 7, y = 6, rule = B2in3-k4cejq5ek6-en78/S3-jk4-cjnw5cy678
3bo\$5o\$b5o\$7o\$b5o\$4bo!
``````
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Reflectorless Rotating Oscillators (RRO)

According my script this

Code: Select all

``````x = 6, y = 8, rule = B2in3-kq4cejqz5ey6-e78/S2n3-jk4-jnwy5cey678
bo2\$b3obo\$b3obo\$5o\$ob4o\$bobobo\$2b3o!
``````
is [2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30] cyclic (p2100)
and

Code: Select all

``````x = 6, y = 8, rule = B2n3-kq4ejqz5ey6-e78/S2n3-jk4-jnw678
3bo\$3bo\$b4o\$b4o\$5o\$b5o\$2b3o\$3bo!``````
is [2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21] cyclic (p1260)
and

Code: Select all

``````x = 6, y = 10, rule = B2n3-kq4ejz5eky6-en78/S2n3-jk4-cjnwy5cey678
3bo\$4bo\$bo\$bobo\$b4o\$b4o\$5o\$b5o\$2b3o\$3bo!``````
is [2, 3, 4, 5, 6, 7] cyclic (a minimal p420 example).
These are the only RROs I found so far with all loopabilities up to 7. I did not find anything for up to 8

I checked a couple of hundred large period RRO candidates but nothing with loopability grater than 58 popped up.

And this p2268 [2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42]-cyclic one is very tight (distance only 54 for 42 copies):

Code: Select all

``````x = 309, y = 289, rule = B2n3-kq4jz5eky6-en78/S3-jk4-cjnwy5e678
36bo\$225bo54bo\$2b2o10bo14b2o2b4o19b2ob3obo2b2o15b2o2bo22b2ob2ob2o19b2o
b3o21b2obo23b2ob3o21b2obo23b2obo23b2o2b3ob3o\$bob3o2bob2obo14bob6obo17b
ob2o3b3ob3o13bob6o19bob2o2b2o19bob2ob2obo18bob2obobo19bob2o4bo18bob2ob
o21bob2obo3bob2o14bob5ob3o11bo\$ob3o4b2obobobo10bob8o17bob12o13bob5o20b
ob11o14bob7o3bo14bob6obo17bob8o17bob6o19bob6ob2ob2o13bob5ob2o12b3o\$6o
2bo6bo11b10o17b12obo13b7o20b7ob6o13b6o2bo3bobo12b9obo16b8o19b10o17b10o
17b6o2b2o11b5o\$ob2o8b3o12bob2o3b3o17bob2o3b5o15bob2obob5o15bob2o2b7o
14bob2obob4o16bob2o4bo18bob2o3bobo17bob2o2b5o16bob6obobobo13bob2ob2o
15b5o\$b2obo7bo2b2o11b2ob3o3bo17b2ob3o3b2o16b2obo3bobo17b2ob2o4bo17b2ob
o3b2obo16b2ob4o20b2ob3o21b2ob2obo20b2o3b2ob6o13b2obo17b4o\$14b2o47b3o
23b2o24bo29bo102b2obo2b2o36b4o\$12b4o237b3o36b4o\$13b4o276b3o\$13b4o276b
3o\$12b5o276b4o\$13b5o275bob2o\$14b3o276bo\$15bo14\$13b2o\$12b4o277bo\$13b2o
277b3o\$291b5o\$12bobobo275b5o\$13b4o275b4o\$14b2o276b4o\$13b6o273b3obo\$13b
4o277b3o\$13b4o275b4o\$12b5o274bo2b2o\$13b5o276bo\$14b3o\$15bo15\$293bo\$292b
3o\$291b5o\$292b5o\$292b4o\$15bo276b4o\$13b3o275bob3o\$13b3o275bob2o\$13b4o
274bob2o\$12b5o274bob3o2bo\$13b5o274b5obo\$14b3o275b8o\$15bo276b3obo\$291b
4o\$292b2o\$293bo12\$293bo\$292b3o\$291b5o\$16bo275b5o\$12bob3o275b4o\$11b5obo
274b4o\$12b5o275bobobo\$13b4o275b4o\$13b4o278bo\$12b5o\$13b5o\$14b3o\$15bo15\$
293bo\$292b3o\$12bo278b5o\$12b3o277b5o\$12b2o278b4o\$12bo3bo275b4o\$15b2o
273bobob2o\$13b3o276b6o\$13b4o274b5o\$12b5o276bobobo\$13b5o276b3o\$14b3o
278bo\$15bo279bo15\$13bo279bo\$12b2ob2o275b3o\$14b3o274b5o\$12b6o274b5o\$12b
5o275b4o\$13b4o275b4o\$13b2obobo271bobob2o\$13b4o275b4o\$13b4o275b5o\$12b5o
274b6o\$13b5o274b3o\$14b3o275b2ob2o\$15bo279bo15\$13bo279bo\$13bo278b3o\$12b
3o276b5o\$11bobobo276b5o\$13b5o274b4o\$11b6o276b3o\$13b2obobo273b2o\$13b4o
275bo3bo\$13b4o278b2o\$12b5o277b3o\$13b5o278bo\$14b3o\$15bo15\$293bo\$292b3o\$
291b5o\$292b5o\$13bo278b4o\$13b4o275b4o\$12bobobo275b5o\$13b4o274bob5o\$13b
4o275b3obo\$12b5o275bo\$13b5o\$14b3o\$15bo12\$15bo\$15b2o\$14b4o\$12bob3o276bo
\$9b8o275b3o\$10bob5o274b5o\$10bo2b3obo274b5o\$14b2obo274b4o\$14b2obo275b3o
\$13b3obo275b3o\$13b4o276bo\$13b4o\$12b5o\$13b5o\$14b3o\$15bo15\$293bo\$292b3o\$
14bo276b5o\$13b2o2bo274b5o\$13b4o275b4o\$12b3o277b4o\$12bob3o273b6o\$13b4o
276b2o\$13b4o275b4o\$12b5o275bobobo\$13b5o\$14b3o277b2o\$15bo277b4o\$294b2o
14\$293bo\$15bo276b3o\$12b2obo275b5o\$12b4o276b5o\$13b3o276b4o\$13b3o276b4o\$
13b4o36b3o237b4o\$13b4o36b2o2bob2o102bo29bo24b2o23b3o47b2o\$13b4o17bob2o
13b6ob2o3b2o20bob2ob2o21b3ob2o20b4ob2o16bob2o3bob2o17bo4b2ob2o17bobo3b
ob2o16b2o3b3ob2o17bo3b3ob2o11b2o2bo7bob2o\$12b5o15b2ob2obo13bobobob6obo
16b5o2b2obo17bobo3b2obo18bo4b2obo16b4obob2obo14b7o2b2obo15b5obob2obo
15b5o3b2obo17b3o3b2obo12b3o8b2obo\$13b5o11b2o2b6o17b10o17b10o19b8o16bob
9o12bobo3bo2b6o13b6ob7o20b7o13bob12o17b10o11bo6bo2b6o\$14b3o12b2ob5obo
13b2ob2ob6obo19b6obo17b8obo17bob6obo14bo3b7obo14b11obo20b5obo13b12obo
17b8obo10bobobob2o4b3obo\$15bo11b3ob5obo14b2obo3bob2obo21bob2obo18bo4b
2obo19bobob2obo18bob2ob2obo19b2o2b2obo19b6obo13b3ob3o3b2obo17bob6obo
14bob2obo2b3obo\$26b3ob3o2b2o23bob2o23bob2o21b3ob2o23bob2o21b3ob2o19b2o
b2ob2o22bo2b2o15b2o2bob3ob2o19b4o2b2o14bo10b2o\$28bo54bo\$272bo!
``````

AforAmpere
Posts: 1079
Joined: July 1st, 2016, 3:58 pm

### Re: Reflectorless Rotating Oscillators (RRO)

This one also holds 58 as a loopability:

Code: Select all

``````x = 6, y = 13, rule = B2in34cjqy5eky6-en78/S3-jkq4-cjnwy5cky678
5bo4\$3bo\$2bo2bo\$3bo\$2b3o\$b4o\$b5o\$4obo\$obobo\$b3o!``````
EDIT, this one has a loopability of 89 (1/2/4/17/34/68/89):

Code: Select all

``````x = 781, y = 794, rule = B2i3-k4cjqyz5ey6-en78/S2n3-j4-jnwy5cky678
9b2o\$11bo20\$217bo70b3o\$19bo195b2o71b3o242bo24b2obo37bo58bo45bo\$19b3o
195bo10bo59bo38b2o60bo143bo25bobobobo31bobo57bo6bo4bo33b3o\$18b4ob4o2b
2o29b2ob2o23b2ob2obo2b2o30bob2o30bob2o23bob2o2b2ob2o14b2obo11b2ob2o17b
2o9bo3b2o21bobobobob2ob2o24b3o2b2ob2o30bob2o17bobo8b3ob2o29bo2b2o27bob
2ob2o30bob2o23b2o2b3o2b2o17bo2bobobobo2b2ob2o22bob2o2b3ob2o26bo2b2ob2o
14b4ob3o4b4o2b2o26b3obob2o29b2ob2o13bo12bo3b4o\$19b2o2b7obo25bobo2b2obo
23bo3b5obo28bob2obo21bo5b2ob2obo18bo2bob5o2b2obo15bo9bo4b2obo15bob3o4b
3o2b3obo20b3ob2obo2b2obo24b3o3b2obo28bob2obo10bobo3b4obo3bob2ob2obo26b
6obo26bo3b2obo9bo16bobob2obo21b4obob4obo22bo2bobo2b2obo21b4obo3b2obo
19bo3b2ob2o2b2obo14b2o7b2ob6obo22b6ob3obo26b2o2b2obo12b2o10bo2b2o2bobo
\$23bob6obo22b2ob7obo18b4ob9obo27b5obo20b3o2b7obo15b2ob14obo12b2o8bo2b
7obo15b4o8b5obo16b4o2b10obo24bo2b5obo24b8obo9b2o3b2ob2o4bo2b6obo26b6ob
o19b3o2bob6obo7b2o15bob6obo19b3obo3b5obo16b2o2b12obo22b10obo17bobo3b2o
bob4obo13b2obob2obo2b8obo21b11obo25b7obo11bobo11bobob3obo\$25b8o18b4o2b
10o18b2o2bo3b8o27b7o20bo4bob7o15b19o14bo5bob2ob9o14bo10b9o19bo2bob10o
21b2ob2ob7o24b10o14bo2bobo2bob3ob6o22b2obob7o19b3o3b9o7b2o11b14o19b3o
4b8o18b16o21bob11o17b4obob10o13bo2bo2bob2obob8o21bob11o24b10o10b3o12b
2ob6o\$29b2obo19bob6o3b2obo15bo9b2o3b2obo28bob2obo20b3obo2bo2b2obo15b5o
b2o2bob2ob2obo25bob2ob2obo17b2o9bob2obo18bo4bo2bo3b2obo21b4ob2o2b2obo
24b3o3b2obo23bo2b2o2b2obo20bo3b3ob4obo19b3o2bob2o2b2obo21b4o2bo2b2obo
20bo6b2ob2obo18b8ob2ob2obo21b3obob2ob2obo19b6ob3ob2obo15b5obo5b5obo24b
5ob2obo24bo2b2ob2obo7bobo16bob4obo\$6bo19b3ob2o21bo2bo4b2ob2o28b3ob2o
30bob2o29b2ob2o15b3obobo2bo4b2ob2o30bob2o18b2o10bob2o28b3ob2o24bo4b2ob
2o27b4ob2o25bo3b2ob2o25bo2b2o2b2o26b2ob2ob2o22b2o5b2ob2o28b3ob2o23bob
3o2bob2o20b2obo2b2o2bob2o21b3ob2o3bob2o29bo2b2o25bob2obob2o28bobob2o8b
5o14b2o3b2o\$5b3o73bo101b2obo68bo140bo2bo166bo30b2o33b2o120b4o15b3o\$4b
5o588b2o157bo\$3b5o\$4b4o\$4b4o\$4bobo750bob2o\$4bo752bo\$757b2o\$756bob2o\$
754bobob3o\$4b3o749b4o\$5bo750b4o\$5bo750b5o\$755b5o\$756b3o\$757bo11\$757bob
o\$759b2o\$757b3o\$758b2o4\$6bo\$5b3o\$4b5o\$3b5o\$4b4o\$4b4o\$4b3obo748b2o\$4b4o
748b2o\$3bob3o747b5o\$3bob2o2bo745bobo\$3b2ob2o749b2o\$3b6o746b4obo\$7bo
748b4o\$5b2o749b5o\$4bo750b5o\$756b3o\$757bo2\$3b3o16\$6bo749bo\$5b3o746bo\$4b
5o745bo\$3b5o747b5o\$4b4o745bob4o\$4b4o745bo2b2o\$4b4o744bob4o\$5b4o743bob
6o\$5b4o744bo2b5o\$5b5o744bo2b2o\$6b4o745bob3o\$3bob2o749b4o\$756b4o\$756b5o
\$755b5o\$756b3o\$757bo18\$6bo\$5b3o747bo\$4b5o744bo\$3b5o746bobobo\$4b4o745bo
3bob2o\$4b4o747bob4o\$4b3obo747bob2obo\$4b3obo748b4o\$3bob2obo746b2ob2obo\$
4b3obo747b5o\$4b3obo747b4o\$3bob3o748b4o\$3b3obo748b4o\$3bo2b2o748b5o\$755b
5o\$756b3o\$757bo6\$9b2o\$10bo11\$6bo751bo\$5b3o749bobo\$4b5o748b2obo\$3b5o
749b4o\$4b4o749b2o\$4b4o747bob3o\$4b3obo748b2o\$5b2obo744bob3o\$4bobobo747b
2o\$5b3o748b2obo\$5b3o748b4o\$3bob2o749b4o\$3b4o749b4o\$3b3o750b5o\$4bo750b
5o\$756b3o\$757bo18\$6bo\$5b3o\$4b5o\$3b5o746bob2o\$4b4o745bob2obo\$4b4o746bo
4bo\$3b3obobo746b2o\$2b4obobo746b3obo\$3b4o2bo746b2o\$4bo4bo746b5o\$4bo4bo
744bo2b2o\$3b4o2bo746b4o\$2b6o748b4o\$2b5obo747b5o\$4b3obo746b5o\$2bo2b2obo
747b3o\$b7o749bo\$ob4o\$bob2obo\$3bo2bo\$bobo\$2b4o\$3bo4\$757bo\$757bo\$758b2o\$
758b2o\$759bo\$757b3o\$760bo\$758bobo\$6bo750b2obo\$5b3o749b2o\$4b5o746bob2ob
o\$3b5o748b4o\$4b4o749b4o\$4b4o749b2o\$4b2obobo746b4o\$5b3o749b2obo\$5b3o
749bobo\$5b4o747bob2obo\$5b3o748b4o\$7bo748b4o\$6bo749b4o\$756b5o\$755b5o\$
756b3o\$757bo2\$5bo2\$4bo2bo\$4bobo\$4b3o\$4bo2bo\$6b2o5\$759bo5\$6bo\$5b3o\$4b5o
\$3b5o\$4b4o748b2o\$4b4o748b3o\$3b3obo748b3o\$2b3o751bobo\$3b2o753bo\$4b2o
749b3o\$3b7o746b5o\$2b3obo748b5o\$4bobo749b4o\$3b2o751b5o\$3b2o750b5o\$756b
3o\$757bo3\$8bo\$6bo2bo\$8bo10\$758bo\$757bobo\$757b4o\$6bo750bobo\$5b3o750bobo
\$4b5o751bo\$3b5o752bo\$4b4o749bob2obo\$4b4o749b4obo\$4b3o750bob2obo\$3bob3o
749b2obo\$3bob2o2bo746bob2o\$3bob4ob2o745b3o\$3bob7o742bobob2o\$3b3ob3obo
744b4o\$4b2o3b2o745b4o\$5bo750b5o\$4bo750b5o\$4bo751b3o\$757bo2\$6bo\$3b3obo
13\$758bo\$758b2o\$6bo750bo\$5b3o752b2o\$4b5o749b4o\$3b5o750b2o\$4b4o749bob2o
\$4b4o\$4b3o752bo\$5b2o748bo\$3b3obo746b6o\$3b2ob2o745b5o\$3b2o750b5o\$3bo
753b3o\$756b4o\$756b5o\$755b5o\$756b3o\$757bo8\$755bo2bo\$755b2o\$755b2o8\$6bo\$
5b3o\$4b5o\$3b5o750b2o\$4b4o751bo\$4b4o749b4o\$4b2o753bo\$2b3ob3o747b5o\$756b
2o\$3bo2b2o746bob3obo\$4bo3bo747b4o\$4bo751b4o\$756b4o\$756b5o\$755b5o\$756b
3o\$757bo12\$756b2o\$755bo2bo\$754bob2obo\$754bobo\$754b2ob2o\$756b2o\$6bo750b
2o\$5b3o749b6o\$4b5o749b4o\$3b5o751b3o\$4b4o753bo\$4b4o749b4o\$4b4o748b2ob2o
\$2bobob3o747b2o\$4bobo748bob2o\$4b4o747bobo2bo\$3bo2b2o747bob3o\$2b2o2b2o
748b4o\$b2obob2o748b4o\$2b4o750b5o\$2bo752b5o\$3b3o750b3o\$757bo18\$6bo\$5b3o
\$4b5o\$3b5o\$4b4o748b2o\$4b4o750bo\$4b3obo746b3obo\$3bob2obo746bob3o\$3bob2o
bo746bob2o\$3bob2obo747b4o\$4b4o746bobob2o\$3b6o747b4o\$3b5o748b4o\$4b4o
748b5o\$4b3o748b5o\$2b2ob3o748b3o\$2b2o2b3o748bo\$b3o3bo\$6bo\$2obo\$b2obo14\$
6bo\$5b3o\$4b5o\$3b5o\$4b4o\$4b4o\$3b3obo748b3o\$2b3o750b4o\$3b2o752bo\$3bob3o
745b5o\$3b3o2b2o745b4o\$3bobo2b3o746b3o\$4b2ob2o2bo744b4o\$3b4o2b2o745b5o\$
3b2o750b5o\$756b3o\$757bo13\$757bo2bo\$758b4o\$758b4o\$757bob2obo\$757bobobo\$
6bo751b4o\$5b3o750b3o\$4b5o748bobo\$3b5o750bobo\$4b4o\$4b5o747b2o\$4b6o749bo
\$4bob4o747b2o\$3b3o753bo\$3b3ob2o750bo\$3b5o749b3o\$5bo750b4o\$5bo750b4o\$6b
2o748b5o\$6bo748b5o\$756b3o\$757bo18\$6bo\$5b3o\$4b5o\$3b5o750bo\$4b4o750b2o\$
4b4o\$3b3ob3o747b4o\$3b5o749bo\$5b3o750bobo\$755bobobo\$755b6o\$756b4o\$756b
4o\$756b5o\$755b5o\$756b3o\$757bo18\$6bo749bo\$5b3o748bo\$4b5o748b2o\$3b5o748b
o\$4b4o747b2o2bo\$4b4o748b2obo\$4b2obobo746bo\$5b2o2bo747bo\$5b2o748bob2o\$
4b2ob2o747b3o\$3bob3o746bobob2o\$4b3o749b4o\$4bobo749b4o\$6b2o748b5o\$6b4o
745b5o\$6b4o746b3o\$757bo\$4bo2bo17\$6bo\$5b3o\$4b5o747bo\$3b5o749b2o\$4b4o
750bo\$4b5o\$4b4o749b3o\$4b3o750bo\$2b3ob2o748b5o\$2b2ob3o748b6o\$2bo2bo749b
ob4o\$2b4o750b4o\$b5obo748b4o\$2b4ob3o746b5o\$5b5o745b5o\$7bobo746b3o\$6b3o
748bo18\$6bo\$5b3o\$4b5o\$3b5o\$4b4o749bo\$4b4o748b3o\$4b3o750bo\$4bo2bo751bo\$
758b2o\$4b3o750b3o\$6b2o748b4o\$4b2o750b4o\$756b4o\$756b5o\$755b5o\$756b3o\$
757bo12\$756bo\$754bo5\$6bo\$5b3o749b2o\$4b5o747bobobo\$3b5o747bob5o\$4b4o
747b8o\$4b4o747b6o\$4b4o749b2o\$3b4o749b3obo\$4b2o750b3obo\$4bob2o749b2obo\$
4bo751bob2o\$5bo750b4o\$4bo751b4o\$756b5o\$755b5o\$756b3o\$757bo16\$759bobo\$
755bob2ob2o\$6bo747bobob2o\$5b3o744b6o\$4b5o742bob5o\$3b5o744bob3o\$4b4o
745bo2bo\$4b4o747b3o\$4b4o747bo\$4b3o749bobo\$4b3o747b5o\$5b2o747bob5o\$4bob
2o746bobob2o\$3bo2b3o747b4o\$7bo748b4o\$4b5o747b5o\$6bobo746b5o\$4b2obo748b
3o\$5b2o750bo\$7bo17\$6bo\$5b3o\$4b5o\$3b5o749bo\$4b4o749bo\$4b4o747bo\$4b3obo\$
4b3obo747bo\$4b4o749b2obo\$3b4o748bob2o\$2bob3o748b5o\$3b5o748b4o\$3bo2b2o
748b4o\$3bob2o749b5o\$755b5o\$756b3o\$757bo14\$459bo29b3o265bobo\$459b3o26b
5o264bob2o\$113bo102bo165bobo31bo6b2o2bo21b2o10bo27b3o107bo125bo29b2ob
2o2bo\$b2ob2o7bo21b2obo3bo4bob2o18b2ob2o29b2ob2ob3ob5obo17b2obo30b2obob
4obo9b4o10b2obob2ob4o22b2o3bo2b2o24b2obo30b2ob2o29b2obo30b2obob2ob2o
24b2obo3b3o2b2o20b2ob2o2bobo6bo17b2obo2bo5bo21b2ob2o29b2ob2o5bob3o19b
2ob4o4bo6b2obo12b2ob2o7bo21b2ob2o29b2ob2obo2bo24b2obo6b2o22b2obob3o3bo
\$ob2o2bo2bo24bob2ob3o8bobo15bob2o2bo2bo24bob2o2bo2b5obo4b2o12bob2obob
2o25bob2ob3o3bo7bobo12bob2ob6o2bo20bob3o3bo25bob2ob2o8bo18bob2o2b3o25b
ob2ob2o27bob2ob2ob3o23bob2ob2obo5b5o15bob2o2b5obo2bobobo14bob2ob3o7bo
18bob2o2bob2obo22bob2o2bo3bob5o17bob2o4b2ob3o2bo3b3o11bob2o4b4obobo18b
ob2o2b4o24bob2o2bob2ob2o21bob2obo2bob4o20bob2o6bobo\$7ob2o2b3o19b7o3b5o
2bo2bo13b7ob3o23b13ob7o13b7obo25b13o5bo5bo9b11o23b6o2bo25b10o3bo20b8o
2b2o22b6o2bo25b6o2b4o22b8o5b7o14b7o3bobob3o17b8o8bo17b10ob3o20b11ob4o
18b9obob4ob3o14b6o2b4obo20b8ob2o23b11o23b15o2bo16b8o2bo\$ob9o3bo19bob6o
b2o2bob6o13bob6ob2o23bob10obobob2obo13bob7o25bob8ob2o21bob8o2b2o20bob
8o24bob5o2b5o20bob5o27bob5o2bo24bob5ob5o21bob5o2bo2b3o2b3o14bob6o7b3o
16bob5o7bob2o16bob7ob4o20bob15o17bob7ob2o3bobob2o13bob4o2b3o23bob5ob4o
bo20bob8o24bob12o4bo15bob5ob2obo\$bob2ob4o2b3o20bob4o6b9o13bob2ob3o2b2o
22bob2ob8ob4o16bob2o2b3o25bob5obob3o21bob6o2bo23bob2o3bo26bob2o2bobo3b
ob2o18bob2obo4b2o22bob2ob3o26bob4obo2bo23bob2ob3o2b2ob2o19bob5o27bob2o
7bobo20bob2ob3o2b4o20bob2ob11o18bob2ob2o2b2o23bob4o28bob2o3b2o3bo21bob
2ob3obo24bob2o3bo3bob2obobo15bob4o\$2b2ob3o2b3obo21b2o12b5o15b2obo30b2o
bo30b2ob2ob2o26b2o3b2o27b2o3b3o26b2ob3ob2o25b2ob2o8b2o19b2ob2o3bo3b2o
20b2obo2bo27b2ob2o29b2obobo2b2o24b2o2bo29b2obo6bobo21b2obo4b2ob2o21b2o
bob2obo2bo22b2ob3o2b2o24b2o32b2ob2o5bo23b2obob3o26b2ob3obo2bob3ob2o16b
2o6bobo\$10bo2bo37b2o123b3o3bo27b3o34b2o170bo132bobobo31bobo137b3o26b4o
\$52bo501bo34bo137bo29b4o\$554bo203bo\$757b2o\$756b3o\$757b3o\$756b4o\$756b4o
\$756b5o\$755b5o\$756b3o\$757bo!
``````
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)

muzik
Posts: 3774
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Reflectorless Rotating Oscillators (RRO)

Crikey on a bikey, these are blowing up. I think a wiki 5s-style tabulation is in order here.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Gustone
Posts: 599
Joined: March 6th, 2019, 2:26 am

### Re: Reflectorless Rotating Oscillators (RRO)

Gamedziner wrote:Predecessor for an unusual 22c/44:

Code: Select all

``````x = 6, y = 4, rule = B3-cnqy4jz5ckr6cn7c8/S2-i3-ak4einrtyz5-inqy6-kn7c
2o2b2o\$o3bo\$bo2bo\$b3o!``````

Code: Select all

``````x = 30, y = 18, rule = B3-cnqy4jz5ckr6cn7c8/S2-i3-ak4einrtyz5-inqy6-kn7c
26bo\$25b3o\$b3o20bo2b2o\$o2bo20b2o\$2o2bo20bo\$3b2o19b2o\$2b2o21bo\$2b3o\$3b
2o\$20bob2o4b2o\$16b5obo5b2o\$5b2obob2o4bo3b4o\$6bo2bob2o3bobo2b3o\$6bo5b2o
3b2o6bo\$8bobobo10b3o\$3bobo4b2o\$3b2o\$4bo!
``````

Code: Select all

``````x = 27, y = 18, rule = B3-cnqy4cejz5ckr6cin7c8/S2-i3-ak4-ajkqw5-inqy6-kn7c8
3bo\$2b3o\$b2o2bo\$4b2o\$4bo17b3o\$4b2o15bo2bo\$4bo16bo2bo\$22bo\$20b3o\$2o4b2o
bo15b2o\$2o5bob5o8bo\$6b4o3bo8bo\$6b3o2bobo3bob2o4bo\$4bo6b2ob2ob3o5b2o\$4b
3o6b2o3bobo\$14b2o3b2o\$15bo3b2obo\$21b2o!
``````
My favourite oscillator of all time

Code: Select all

``````x = 15, y = 13, rule = B3/S23
7bo2\$3b2o5b2o\$b2o4bo4b2o\$5b2ob2o\$bobo7bobo\$bo2bobobobo2bo\$5obobob5o\$o
4bo3bo4bo\$b3obobobob3o\$3bob2obo2bo\$8bobo\$8b2o!
``````

CoolCreeper39
Posts: 58
Joined: June 19th, 2019, 12:18 pm

### Re: Reflectorless Rotating Oscillators (RRO)

p28 RRO in Immortalife:

Code: Select all

``````x = 5, y = 7, rule = B3-cqy4j/S2-n34i
2o\$bo\$2o\$bo\$2ob2o\$b3o\$2bo!``````

Moosey
Posts: 3068
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

### Re: Reflectorless Rotating Oscillators (RRO)

CoolCreeper39 wrote:p28 RRO in Immortalife:

Code: Select all

``````x = 5, y = 7, rule = B3-cqy4j/S2-n34i
2o\$bo\$2o\$bo\$2ob2o\$b3o\$2bo!``````
Unfortunately, it's not loopable. (It's also known, since it's the second-most-interesting thing in the ash of the B). I would recommend that if you find something in a rule which has an active topic you just edit your post or make a new one, since it keeps the forums from getting cluttered.
I am a prolific creator of many rather pathetic googological functions

My CA rules can be found here

Also, the tree game
Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"

GUYTU6J
Posts: 907
Joined: August 5th, 2016, 10:27 am
Location: 中国

### Re: Reflectorless Rotating Oscillators (RRO)

p88 pseudo-rectangular RRO:

Code: Select all

``````x = 14, y = 31, rule = B2in34ijqrtyz5i8/S23-ac4i
4bo4\$o11\$8b3o\$8bo2bo\$7bo3bo\$7bo3bo\$7bo2bo6\$11b3o\$7b2obobo\$6bo4bo\$6bo4b
o\$6bobo\$7bo!
``````
Sorry but I prefer to contribute to cellular automata anonymously, so I made up a random string for my username.
-GUYTU6J

Hdjensofjfnen
Posts: 1480
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Reflectorless Rotating Oscillators (RRO)

So... does anyone have a table of loopabilities that are known? Or periods (of RROs only) that are known? Or both?
"A man said to the universe:
'Sir, I exist!'
'However,' replied the universe,
'The fact has not created in me
A sense of obligation.'" -Stephen Crane

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````

2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

### Re: Reflectorless Rotating Oscillators (RRO)

Hdjensofjfnen wrote:So... does anyone have a table of loopabilities that are known? Or periods (of RROs only) that are known? Or both?
I recently wrote a small script that checks the loopabilities. Recent matchpatt2 results gave plenty of loopabilities. I attached a csv of results of a single search, but there are many more out there.
Just to get a feeling, the loopabilities in this set:

Code: Select all

``````[2, 3, 4, 5, 6, 10, 11, 12]
[2, 3, 4, 5, 6, 10, 12, 13]
[2, 3, 4, 5, 6, 10, 12, 15, 17, 20]
[2, 3, 4, 5, 6, 10, 12, 15, 17]
[2, 3, 4, 5, 6, 10, 12, 15, 19, 20]
[2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31]
[2, 3, 4, 5, 6, 10, 12, 15, 20, 30]
[2, 3, 4, 5, 6, 10, 12, 15, 20]
[2, 3, 4, 5, 6, 10, 12]
[2, 3, 4, 5, 6, 10]
[2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30]
[2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21]
[2, 3, 4, 5, 6, 7]
[2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22]
[2, 3, 4, 5, 6, 9, 10, 12, 15, 17, 18, 20, 30, 34, 36, 45]
[2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 30, 36, 45, 46]
[2, 3, 4, 5, 6, 9, 10, 12, 15]
[2, 3, 4, 5, 6, 9, 10, 12]
[2, 3, 4, 5, 6, 9, 10]
[2, 3, 4, 5, 6, 9]
[2, 3, 4, 5, 6]
[2, 3, 4, 6, 11, 12, 13, 22, 26]
[2, 3, 4, 6, 11, 12, 19, 22, 33, 38]
[2, 3, 4, 6, 11, 12, 22, 23, 33]
[2, 3, 4, 6, 11, 12]
[2, 3, 4, 6, 12, 13, 17, 26, 34, 39]
[2, 3, 4, 6, 12, 13, 19, 26, 38, 39]
[2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58]
[2, 3, 4, 6, 12, 13, 26]
[2, 3, 4, 6, 12, 13]
[2, 3, 4, 6, 12, 17, 19, 34, 38, 51]
[2, 3, 4, 6, 12]
[2, 3, 4, 6, 7, 12, 13, 14]
[2, 3, 4, 6, 7, 12, 14, 17, 21]
[2, 3, 4, 6, 7, 12, 14, 19, 21]
[2, 3, 4, 6, 7, 12, 14, 21, 23, 28]
[2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42]
[2, 3, 4, 6, 7, 12, 14]
[2, 3, 4, 6, 7, 12]
[2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42]
[2, 3, 4, 6, 7, 9, 12, 14]
[2, 3, 4, 6, 7, 9, 12]
[2, 3, 4, 6, 7, 9]
[2, 3, 4, 6, 7]
[2, 3, 4, 6, 9, 11, 12, 18]
[2, 3, 4, 6, 9, 11, 12]
[2, 3, 4, 6, 9, 12, 17, 18, 27]
[2, 3, 4, 6, 9, 12, 18, 19, 27]
[2, 3, 4, 6, 9, 12, 18, 23, 27, 36]
[2, 3, 4, 6, 9, 12, 18, 27]
[2, 3, 4, 6, 9, 12, 18, 36]
[2, 3, 4, 6, 9, 12, 18]
[2, 3, 4, 6, 9, 12]
[2, 3, 4, 6, 9]
[2, 3, 4, 6]
[2, 4, 11, 22, 44]
[2, 4, 11, 22]
[2, 4, 11]
[2, 4, 13, 26, 52]
[2, 4, 13, 26]
[2, 4, 13]
[2, 4, 17, 19]
[2, 4, 17, 23]
[2, 4, 17, 29]
[2, 4, 17, 31, 34]
[2, 4, 17, 34]
[2, 4, 17]
[2, 4, 19, 29]
[2, 4, 19, 38]
[2, 4, 19]
[2, 4, 23, 31]
[2, 4, 23, 41, 46]
[2, 4, 23]
[2, 4, 5, 10, 11, 13, 20, 22, 26]
[2, 4, 5, 10, 11, 20]
[2, 4, 5, 10, 11]
[2, 4, 5, 10, 19, 20, 25, 38]
[2, 4, 5, 10, 20, 23, 25]
[2, 4, 5, 10, 20, 25, 31]
[2, 4, 5, 10, 20]
[2, 4, 5, 10]
[2, 4, 5, 7, 10, 11, 14, 20, 22, 28]
[2, 4, 5, 7, 10, 11, 14, 20, 22]
[2, 4, 5, 7, 10, 13, 14, 20, 26, 28]
[2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35]
[2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38]
[2, 4, 5, 7, 10, 14]
[2, 4, 5, 7, 10]
[2, 4, 5]
[2, 4, 7, 11, 14, 22, 28]
[2, 4, 7, 13, 14, 26, 28]
[2, 4, 7, 14, 17]
[2, 4, 7, 14, 28]
[2, 4, 7, 14]
[2, 4, 7]
[2, 4, 8, 16]
[2, 4]
[2, 7]
[2, 23]
[2]
[3, 11, 31, 33]
[3, 5, 11, 15, 25, 33]
[3, 5, 15]
[3, 5, 7, 15, 21]
[3, 5, 7, 9, 15, 21, 27, 35, 45]
[3, 5, 7, 9]
[3, 5, 9, 11, 15, 33]
[3, 5, 9, 13, 15]
[3, 5, 9, 15, 27]
[3, 5, 9, 15]
[3, 5, 9]
[3, 5]
[3, 7, 11]
[3, 7, 17]
[3, 7, 21, 23]
[3, 7, 21, 31]
[3, 9, 11]
[3, 9]
[3]
[4]
[5, 11]
[5, 13]
[5, 19, 25]
[5, 7]
[5]
[7, 13]
[7]
[11]
[13]
[17]
``````
The largest single loopability is 17.
Attachments
rro_test_rro.csv

GUYTU6J
Posts: 907
Joined: August 5th, 2016, 10:27 am
Location: 中国

### Re: Reflectorless Rotating Oscillators (RRO)

Hdjensofjfnen wrote:
GUYTU6J wrote:

Code: Select all

``````x = 5, y = 6, rule = B3-jknr4city5ijk8/S23-a4city
2o\$3b2o\$4bo\$o3bo\$o2bo\$3o!
``````
EDIT:Uh no,it can't be looped.
Reminds me of the command character on an Apple computer. (⌘)
p124 version:

Code: Select all

``````x = 5, y = 4, rule = B2in3aceir4ey5ik6i7e/S2-i3-ak4ity
bo\$o\$o2b2o\$3o!
``````
EDIT on 9.30: p320

Code: Select all

``````x = 6, y = 5, rule = B2kn3-enq4eiwz/S2-n3-ae4-aejrw
2o2bo\$bo2bo\$5bo\$2bobo\$3b2o!
``````
Sorry but I prefer to contribute to cellular automata anonymously, so I made up a random string for my username.
-GUYTU6J

GUYTU6J
Posts: 907
Joined: August 5th, 2016, 10:27 am
Location: 中国

### Re: Reflectorless Rotating Oscillators (RRO)

Hdjensofjfnen wrote:
GUYTU6J wrote:What is the highest (known) period for an unloopable (loopability 1) RRO in isotropic non-totalistic Life-like cellular automaton (without B0)?
I have a p1912 (or a predecessor of it) which is of loopability 1 in my signature.
My best: p1332

Code: Select all

``````x = 61, y = 64, rule = B2kn3-ckqy4ijwz/S23ijkqr4iknr
26b2o\$28b2o\$29bo\$27b3o3\$60bo\$60bo\$60bo6\$27bo\$28b2o\$26bo2bo3\$26bo2bo\$
28b2o\$24bobob2o\$28bo\$26b3o\$27bo25\$57bo\$57bo\$57bo5\$o\$o\$o11bo\$12bo\$12bo\$
55bo\$55bo\$55bo!
``````
It isn't comparable to hdj's oscillator though.

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!
``````
EDIT: Unrelated, a rule hosting two RRO and a similar fourfold gun:

Code: Select all

``````x = 119, y = 126, rule = B3-c7e/S2-in3-a4ciqyz5ai6i
34bo81bo\$33b2o11bo57bo11b2o\$32b2o2bo9b2o55b2o9bo2b2o\$33bob2o10b2o53b2o
10b2obo\$34b3o9b2o55b2o9b3o19\$111bo\$109bo2b2o\$39bo73b2o\$38b2o72bo\$38bo
75bo\$33b2o78b2o\$34b2o2bo76bo2bo\$33b2o3bo\$34bo2b2o\$35b3o76bobo\$36bo77b
2o47\$34bo\$33b2o11bo\$32b2o2bo9b2o\$33bob2o10b2o\$34b3o9b2o18\$2o\$obo\$b2o\$
39bo\$38b2o\$38bo\$33b2o\$34b2o2bo\$33b2o3bo\$34bo2b2o\$35b3o\$36bo10\$28bo\$29b
2o\$28b2o!``````
EDIT: Another rectangular RRO, 1/2/4 fold:

Code: Select all

``````x = 83, y = 26, rule = B2k3aik4j5iry6i/S2-ci3-acey4i5eq7e8
\$62bobo\$b3o30b3o23bo2bo10b3o\$bobo30bobo23bo3b2o8bobo\$bo32bo25bo5bo7bo
\$o2b2o28bo2b2o25b2ob2o5bo2b2o\$67bo\$65bo\$66b4o\$66bo2bo\$66b3o6\$74b3o\$73b
o2bo\$73b4o\$77bo\$75bo\$25b2o2bo35b2o2bo5b2ob2o\$28bo39bo7bo5bo\$26bobo37b
obo8b2o3bo\$26b3o37b3o10bo2bo\$78bobo!
``````
Last edited by GUYTU6J on November 24th, 2019, 12:57 am, edited 2 times in total.
Sorry but I prefer to contribute to cellular automata anonymously, so I made up a random string for my username.
-GUYTU6J

GUYTU6J
Posts: 907
Joined: August 5th, 2016, 10:27 am
Location: 中国

### Re: Reflectorless Rotating Oscillators (RRO)

p144 from a bunch of replicators:

Code: Select all

``````x = 32, y = 42, rule = B2in3-j4r5qr8/S2aek3ijnqr4i
5b3o\$5bobo\$5bo3\$3o\$o11b2o\$2o11bo\$11b3o3\$8bo\$6bobo\$6b3o5\$23b3o\$23bobo\$
23bo3\$18b3o\$18bo11b2o\$18b2o11bo\$29b3o2\$13b3o\$13bobo10bo\$13bo10bobo\$24b
3o2\$8b3o\$8bo11b2o\$8b2o11bo\$19b3o3\$16bo\$14bobo\$14b3o!
``````
p776:

Code: Select all

``````x = 4, y = 3, rule = B2k3aikq4ej5iy6i/S2-ci3-acey4iy5cnq7c
2o\$o2bo\$b3o!
``````
loopable p1096:

Code: Select all

``````x = 4, y = 6, rule = B2ikn34qr/S2aek3ijnqr4i
3bo\$3bo2\$b2o\$2o\$b2o!
``````
p1340:

Code: Select all

``````x = 3, y = 4, rule = B2ikn3-j4rt7/S2aek3ijnqr4i6k8
2o\$o\$obo\$b2o!
``````
p2344:

Code: Select all

``````x = 94, y = 114, rule = B2ikn3-j4rt7/S2aek3ijnqr4in6ck
85bo4bo2bo\$84b2o4bo2bo\$83b2o2bo3b3o\$84b5o\$86bo\$55bo33bo\$55bobo\$55bo8\$
25bo\$23bo2bo\$28bo\$21bo6bo\$19bo3bob2o2b2o\$24b3o\$30bo3b2o\$31bob2o\$31bo7\$
3b3o\$3bo\$3b3o17bo2bo\$23bo2bo\$23bo2bo\$28bo\$24b3o\$24b5o4\$24bo\$25bo\$23b2o
bo\$24bob2o\$24b3o\$25bo45\$15bo\$13bobo\$5bo5b2obo3b2o\$4bobo7bo4bo\$3b2o5bo
2bob5o\$7bo7bobo\$2o11bobo\$obo6bobo\$2obo2bobo2bo\$8b3o2b3o\$4bo2\$83bo\$82b
3o\$81bo2bo\$80bob2obo\$81b2o\$87bo\$88b2o\$87bob2o\$86b2obo\$86bobo\$87bo!
``````
p6636 that is currently the unloopable RRO with highest period:

Code: Select all

``````x = 46, y = 74, rule = B2ikn3-j4rt7/S2aek3ijnqr4ci6kn
5bo35b2o\$4bo2bob2obo24bobo4b2o\$3bo5bo2b2o24bo3bo2bo\$2b2obo5bo32b2o\$3b
2o8bo25bo2b2o\$5bo36b2o\$39b2o\$38bo\$35bo4bo\$35bo2bobo\$35b2o\$36bobo\$36b3o
59\$2o\$obo\$b2o!
``````
Sorry but I prefer to contribute to cellular automata anonymously, so I made up a random string for my username.
-GUYTU6J

77topaz
Posts: 1472
Joined: January 12th, 2018, 9:19 pm

### Re: Reflectorless Rotating Oscillators (RRO)

Gamedziner wrote:
June 25th, 2019, 7:05 pm
dvgrn wrote: I like the clean version that you posted on Discord a little better.

Code: Select all

``````x = 85, y = 113, rule = B2n3aeijr4jk5c6cn7e/S23-a4einrtyz5en6-ak7c8
38b3o\$38bobo\$37bob2o\$37b3o2bo\$37bo2b3o\$41bo2\$41b2o\$35b2ob2ob2o\$35bobob
o\$34bob5o7bo\$34b4o9b3o\$36bo9bo2b2o\$45b4o\$45bo5bo\$45b2o3bo\$49bo2bo\$46b
2o3bo\$45b3o2b2o\$44bo2bo\$43b2ob3o10bo\$7b3o34bo2b2o12bo\$9bo24b2o9b3o11bo
2bo\$10b2o15b2o5bob2o8bo11b2o3bo\$11bo15b2o5bo2bo25bo\$7b5o14bo10bo20b2ob
3o\$25b2o5b3obo21b4o\$32b3o23b3o3\$74bo\$73b2ob2o\$77bo\$71b4o\$71bo\$70b2o\$
71bobob2o\$71bo4bo\$72bo2bo\$73b3o12\$7b3o\$6bo2bo\$6bo3bo70b2o\$5b2o3bo69bo
2b2o\$5b2ob3o68b2o3bo\$8b2o65bobobo4bo\$b2o3bobo65b2obob5o\$obo3b3o68bo2b
2o\$o8bo63bo\$3o5b2o63b3o\$9bo65bob2o\$73bo3bo\$72b2o3bo\$73bo2bo\$73b3o12\$7b
3o\$7bo2bo\$7bo2bo\$10b2o\$9b2o\$6b2obo\$5b6o\$6bo68bo\$6bobo63bo\$6b3o63bo2bo\$
5b2o43bo2b2o20b2o\$6b2o15b2o8b2o13b3o2b4o\$6b2o13b2o2bo8bo12bo3bo4bo16bo
\$21bo3b2o20bo4b4o16bobo\$21bo4bo6bo13b3o3bo19b3o\$22b5o5b2obo\$24b2o8b4o\$
34bo2bo\$33b3o\$32b6o\$31b2o2bo\$31bo2bo\$31b3o2b2o\$32bo2b2o\$33b3o\$34bo\$43b
o2bo\$40b7o\$40b2o5bo\$40bo4bobo\$46b2o\$40b2o4bo\$40b2o2b3o\$41bo4bo\$41bo3bo
\$42b3o!``````
Same rule, 2c/15 diagonal and (Zigzagging!) 21c/84 diagonal:

Code: Select all

``````x = 21, y = 5, rule = B2n3aeijr4jk5c6cn7e/S23-a4einrtyz5en6-ak7c8
4bo\$3b2o14b2o\$2bobo12bob2o\$bobo13bobo\$3o14b3o!``````
Natural RRO-based gun in this rule:

Code: Select all

``````x = 16, y = 16, rule = B2n3aeijr4jk5c6cn7e/S23-a4einrtyz5en6-ak7c8
2bo2bobob2o2b2o\$2ob4o4bob3o\$bob4ob3ob4o\$o2b2o2bob2obobo\$bobob3ob2o2bob
o\$2b2obobobo2bo\$o2b3o2bob3o\$bobobob2obobob2o\$2bo3b2obo4bo\$o2b2obob2ob
3obo\$b2o5bo2b2o2bo\$2bo2b4o2b5o\$obo3bo5b2o\$bo3b5ob2obo\$bo2b2o3b4obo\$2bo
bobob2obob2o!
``````
AforAmpere wrote:
July 15th, 2019, 9:38 pm
Here's a 2/3/4/6/12/17/19/34/38/51/57 from a similar search:

Code: Select all

``````x = 855, y = 864, rule = B34cjq5e6-en78/S2n3-jk4-jnqw5ceky678
snip
``````
Weird natural wickstretcher in this rule:

Code: Select all

``````x = 16, y = 16, rule = B34cjq5e6-en78/S2n3-jk4-jnqw5ceky678
o3b2obob4ob2o\$2obobo2bo2b2ob2o\$ob2ob2ob2obo\$5b2o2b3o3bo\$b3o2bob6obo\$b
2ob5obobob2o\$4o2b2ob3ob2o\$bo3bob4o3b2o\$2o4bob3o2bo\$o2bobobo4b2obo\$bo2b
2o3b2o2b2o\$b2obobo3b2ob2o\$5bo2b3obo2bo\$obob4o2b6o\$b3o2bo8bo\$2obobo2b2o
b2o!
``````
Day and Night-ish p312 c/2 ship:

Code: Select all

``````x = 8, y = 5, rule = B34cjq5e6-en78/S2n3-jk4-jnqw5ceky678
2obob2o\$3ob2obo\$2b6o\$bo2b2obo\$2b2ob2o!
``````
And one that's p828:

Code: Select all

``````x = 7, y = 12, rule = B34cjq5e6-en78/S2n3-jk4-jnqw5ceky678
3bo\$2b3o\$b5o\$7o\$b5o\$b5o\$b5o\$b5o\$2b3o\$2b3o\$2b2o\$2bo!
``````
AforAmpere wrote:
July 15th, 2019, 10:43 pm
This thing just shoots stuff super far away:

Code: Select all

``````x = 14, y = 8, rule = B3-k4cjyz5eky6-en78/S2n3-jk4-jnw5ceky678
5bo\$5bo\$3b4o3bo\$o2b4ob4o\$bobob8o\$bob2ob8o\$6b7o\$6bobo2bo!
``````
Weird combination of a wickstretcher and a growing spaceship in the same soup (appears four times in a 10000-soup haul) in this rule:

Code: Select all

``````x = 16, y = 16, rule = B3-k4cjyz5eky6-en78/S2n3-jk4-jnw5ceky678
3b2o2b5ob2o\$2obo2b2ob3ob2o\$obob2obob3obobo\$b4o3bo2b2o\$6o4b2o2bo\$2bo3b
3ob6o\$bobo2bo3b4obo\$3bo2bobobob2o\$b2o2bob3o3bobo\$5o2bob2obobo\$3b2o3b2o
bob3o\$2ob2o2b4obo2bo\$2b2o2b6o\$o3bob2o4bob2o\$3obobobobo3bo\$2b4o2b3ob2o!
``````
This rule also has the weird wickstretchers of the preceding rule.

Natural puffers:

Code: Select all

``````x = 16, y = 16, rule = B3-k4cjyz5eky6-en78/S2n3-jk4-jnw5ceky678
bo3b2ob3obo\$2b2o3b3o4b2o\$o2bob2obo2b3o\$3obob3ob2obobo\$2o2b3obobo2bobo\$
bo2b2o6b4o\$ob3ob3o2b2o2bo\$b3ob3o2bo2bo\$2bobo3bo5b2o\$bob2o2b2o2b2o\$2b3o
b2ob3obobo\$bo2bo2b4o\$2ob3obo4bob2o\$o5bob3o4bo\$3ob2ob3ob5o\$bo2b3obobo2b
3o!
``````

Code: Select all

``````x = 16, y = 16, rule = B3-k4cjyz5eky6-en78/S2n3-jk4-jnw5ceky678
b3ob2o3bob2obo\$2bo3b3ob2ob2o\$2bo4bob2o2b3o\$obobo4bo2bo\$2b2o2bo2b5obo\$b
7o2bo4bo\$o2b3o2bobo2b2o\$3b3o2bobob2o\$b2obo2bobo3bobo\$3obob3o3bobo\$2o2b
7ob2obo\$o4bob5o2bo\$o3b2o2bo4b3o\$ob4o3bo2b4o\$ob3obob3ob2obo\$b4o4bobobo!
``````