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Reflectorless Rotating Oscillators (RRO)

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Re: Reflectorless Rotating Oscillators (RRO)

Postby FWKnightship » July 9th, 2019, 8:40 am

Gamedziner wrote:Predecessor for an unusual 22c/44:
x = 6, y = 4, rule = B3-cnqy4jz5ckr6cn7c8/S2-i3-ak4einrtyz5-inqy6-kn7c
2o2b2o$o3bo$bo2bo$b3o!

22c/44 synth:
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:
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:
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:
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$59b2o2b2o!
x = 5, y = 5, rule = B3-y/S234w
2b3o$bo$o3bo$o2bo$obo!
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Re: Reflectorless Rotating Oscillators (RRO)

Postby 2718281828 » July 15th, 2019, 6:41 pm

2718281828 wrote:An interesting natural p256 (https://catagolue.appspot.com/object/xp ... t5-aky67c8), 1,2,4-fold:
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:
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:
x = 217, y = 110, rule = B2k3aijnr4aeikwy5r8/S2in3-ceky4acijnt5-aky67c8
211b4o$2b4o204b6o$b6o202b3ob4o$3ob4o202b2obo$b2obo205b2o$b2o210bo2bo$
4bo2bo203bo2b2o$2bo2b2o96$127b2o2bo$126bo2bo$131b2o$129bob2o$126b4ob3o
$127b6o$128b4o!
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Re: Reflectorless Rotating Oscillators (RRO)

Postby 2718281828 » July 15th, 2019, 7:57 pm

A record 1/2/4/5/10/20:
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
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:
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).
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):
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:
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.
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Re: Reflectorless Rotating Oscillators (RRO)

Postby jimmyChen2013 » July 15th, 2019, 9:18 pm

Jesus christ.
Failed Replicator!
x = 4, y = 4, rule = B34ce5cen67c8/S2-i3-jqry4cent5j67c8
bo$obo$bobo$2bo!

(That I wish was not failed D:)
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Re: Reflectorless Rotating Oscillators (RRO)

Postby AforAmpere » July 15th, 2019, 9:38 pm

Those are insane, 2718281828!
Here's a 2/3/4/6/12/17/19/34/38/51/57 from a similar search:
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:
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:
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)
AforAmpere
 
Posts: 1047
Joined: July 1st, 2016, 3:58 pm

Re: Reflectorless Rotating Oscillators (RRO)

Postby wildmyron » July 15th, 2019, 10:27 pm

Wow! All these high period oscillators are absolutely amazing.
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron
 
Posts: 1238
Joined: August 9th, 2013, 12:45 am

Re: Reflectorless Rotating Oscillators (RRO)

Postby AforAmpere » July 15th, 2019, 10:43 pm

2/3/4/6/11/12/22/23/33:
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:
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:
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)
AforAmpere
 
Posts: 1047
Joined: July 1st, 2016, 3:58 pm

Re: Reflectorless Rotating Oscillators (RRO)

Postby 2718281828 » July 15th, 2019, 11:01 pm

2/3/4/6/11/12/22/31/33/44/62/66:
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:
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!
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Re: Reflectorless Rotating Oscillators (RRO)

Postby calcyman » July 16th, 2019, 5:35 am

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!
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Re: Reflectorless Rotating Oscillators (RRO)

Postby Gamedziner » July 16th, 2019, 8:19 am

Some of these rules have other interesting patterns; I don't have time right now to list them though.
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!
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Re: Reflectorless Rotating Oscillators (RRO)

Postby 2718281828 » July 16th, 2019, 3:17 pm

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:
x = 6, y = 8, rule = B2in3-k4cejz5ey6-e78/S3-jk4-cjnwy5ceky678
3bo$b3o$b4o$b4o$5o$b5o$2b3o$3bo!
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Re: Reflectorless Rotating Oscillators (RRO)

Postby AforAmpere » July 16th, 2019, 4:28 pm

2718281828 wrote:A huge 1/2/4:
Awesomness


Wow, that one can fit 112! Nice job!

EDIT, the actual loop:
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:
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)
AforAmpere
 
Posts: 1047
Joined: July 1st, 2016, 3:58 pm

Re: Reflectorless Rotating Oscillators (RRO)

Postby 2718281828 » July 16th, 2019, 7:12 pm

According my script this
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
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
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):
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!
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2718281828
 
Posts: 738
Joined: August 8th, 2017, 5:38 pm

Re: Reflectorless Rotating Oscillators (RRO)

Postby AforAmpere » July 16th, 2019, 10:05 pm

This one also holds 58 as a loopability:
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):
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)
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Re: Reflectorless Rotating Oscillators (RRO)

Postby muzik » August 2nd, 2019, 6:51 am

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!
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Re: Reflectorless Rotating Oscillators (RRO)

Postby Gustone » August 2nd, 2019, 7:10 am

Gamedziner wrote:Predecessor for an unusual 22c/44:
x = 6, y = 4, rule = B3-cnqy4jz5ckr6cn7c8/S2-i3-ak4einrtyz5-inqy6-kn7c
2o2b2o$o3bo$bo2bo$b3o!

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!

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!
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Re: Reflectorless Rotating Oscillators (RRO)

Postby CoolCreeper39 » August 11th, 2019, 2:56 am

p28 RRO in Immortalife:

x = 5, y = 7, rule = B3-cqy4j/S2-n34i
2o$bo$2o$bo$2ob2o$b3o$2bo!
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Re: Reflectorless Rotating Oscillators (RRO)

Postby Moosey » August 11th, 2019, 7:25 am

CoolCreeper39 wrote:p28 RRO in Immortalife:

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
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Re: Reflectorless Rotating Oscillators (RRO)

Postby GUYTU6J » August 20th, 2019, 11:44 am

p88 pseudo-rectangular RRO:
x = 14, y = 31, rule = B2in34ijqrtyz5i8/S23-ac4i
4bo4$o11$8b3o$8bo2bo$7bo3bo$7bo3bo$7bo2bo6$11b3o$7b2obobo$6bo4bo$6bo4b
o$6bobo$7bo!
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.
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Re: Reflectorless Rotating Oscillators (RRO)

Postby Hdjensofjfnen » August 20th, 2019, 4:21 pm

So... does anyone have a table of loopabilities that are known? Or periods (of RROs only) that are known? Or both?
That that is, is. That that is not, is not. Is that it? It is.
A predecessor to my favorite oscillator of all time:
x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!
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Re: Reflectorless Rotating Oscillators (RRO)

Postby 2718281828 » August 20th, 2019, 8:48 pm

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:
[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.
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Re: Reflectorless Rotating Oscillators (RRO)

Postby GUYTU6J » August 22nd, 2019, 5:43 am

Hdjensofjfnen wrote:
GUYTU6J wrote:
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:
x = 5, y = 4, rule = B2in3aceir4ey5ik6i7e/S2-i3-ak4ity
bo$o$o2b2o$3o!

EDIT: In a variation of the original rule for p240 RRO, there is a striking natural p480:
x = 46, y = 15, rule = B3-jknr4ity5ijk6i8/S23-a4city6c7c
ob2o$o$b2ob2o$2b2obo$bob3o$2o$b2o4$44bo$34bo10bo$41b3obo$42bo2bo$34bo7b3o!
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.
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