Reflectorless Rotating Oscillators (RRO)

[sophie<3]

p108 RRO

Code: Select all

x = 15, y = 15, rule = B3ai4-er/S3-c45eiy6ci
2$5bo$4b3o$3bo2b2o$3b2o$3b2o!

[sophie<3]

1,2,4,8,16,109-able(Ampere on Discord found that out) RRO in LTL generations

Code: Select all

x = 24, y = 25, rule = R6,C5,M1,S59..62,B12..17,NN
5$16.D$8.D$9.D6.2D$6.D12.D$5.C3DB6.B3D$5.2C12DC$5.2CB8D2B2C$6.2C4A7CB
$5.2B11C2B$5.6B2C4.2BA$5.2AB.9B2A$6.2A2.2A4B4A$7.12A$10.3A!

[AforAmpere]

1,2,4,8,13,26-able, based on a rule from a long time ago by 2718281828:

Code: Select all

x = 182, y = 190, rule = B2kn3-cekq4aciny5k6n/S2n3-cejk4aejntw5-aky6-i8
130bo$5b4o121bo$3b7o121b2o$2bobobob3o120bo$3b2o5b2o99bo16bo2bo6b2o$3bo
7b2o76bo21bobo11bo2bo4bo$4b2obo3b3o24bo22bo27bobo20bob2o8bo3bo9b5o24bo
bo$5b2ob2o2bobo22bob2o19b2o3b2o21bobobo16b3o3bob2o6bobo12bo2b2o20bo2bo
bo$4b2obo4b3o19bo3b3o19b3ob3o23b3o17bo5b3o5b2obobo12b3o23b3o$10bo3b2o
24b2o21bo2b2o18bo2bo2b2o13b4ob4o2b2o24b2o17b2o5b2o$5bo4bob4o16bobob2ob
3o18b3o2b3o23b3o16b3ob6o23b3o22b4o$5bo8b2o20b2o2b2o17bobobo2b2o22bob2o
16bob2o2bob2o20b2o2b2o18b2ob2ob2o$3b3obo3bob3o10b2o4bo3bob4o14bo5bob4o
20bob4o17bobo2b4o7bobo9b7o19b2o2b3o$11bob2o10b2ob2o2bob2o4bo17bob2o4bo
24b2o21b2ob2o8bo12bobobo25bo$2bo10bo11b2obo5bob3o23bo27bo22b2obo21bo4b
o25bo$ob2obo3bo2bo13b3o6b4o76bo23bobo$5b2o131b2o$bo2b2o$3bobo171bo$3bo
bo$5bo171bo3$177b2o$176b4o$173b3ob3o$171bo3bo2b2o$5b4o163b2obob3o$3b7o
160b2o2b3ob2o$3b2obobo161bobobo3b2o$2b3obobob2o159bobobobobo$2b2obo3bo
162b7o$4bob2o165b4o$bob2o2bo$3b3obobo$5bo5bo$7bo$9bo4$172bo2$171bo2bo$
172bo$172b2o7$172bo$5b4o161b2ob2o$3b7o160bobo3bobo$3b2obobo162bob3obob
o$4bo4bo161bobobob2o$5bo2bo163b7o$4bo3bobo162b4o$3b3ob2obo$4bo2bobo$5b
ob2o$9bo$2b2o$5bo$bobo$2bo2bobo$3bobob2o$5b2o2$5bo2$5bo$175bobo$177bo$
173b2o$171bob2o2bo$174bobobo$169bo3bobobo$5b4o160b2o2b2o$3b7o159bobo3b
2o$2bobobobo164bobobobo$3b2o3bobo161b2obobobo$2bo5b2o162b7o$3b2obob2o
163b4o$2b3o2b3o$5b2o$4b3o$4b4o$4bo2bobo165bobo$7bo$176bo$175bobo$174b
2o3$6b2o$4bobo$5bo$174bo$4bobo165bobo2bo$174b4o$175b3o$175b2o$172b3o2b
3o$5b4o163b2obob2o$3b7o162b2o5bo$2bobobob2o161bobo3b2o$2bobobobo164bob
obobo$5b2o3bobo159b7o$7b2o2b2o160b4o$4bobobo3bo$3bobobo$4bo2b2obo$7b2o
$4bo$4bobo$176bo2$176bo2$175b2o$173b2obobo$174bobo2bo$178bobo$176bo$
178b2o$172bo$173b2obo$172bobo2bo$171bob2ob3o$5b4o162bobo3bo$3b7o163bo
2bo$3b2obobobo161bo4bo$2bobob3obo162bobob2o$3bobo3bobo160b7o$7b2ob2o
161b4o$9bo7$8b2o$9bo$7bo2bo2$9bo4$172bo$174bo$170bo5bo$172bobob3o$174b
o2b2obo$5b4o165b2obo$3b7o162bo3bob2o$2bobobobobo159b2obobob3o$2b2o3bob
obo161bobob2o$2b2ob3o2b2o160b7o$2b3obob2o163b4o$2b2o2bo3bo$2b3ob3o$2b
4o$3b2o3$4bo171bo$176bobo$4bo171bobo$176b2o2bo$42b2o131b2o$40bobo23bo
76b4o6b3o13bo2bo3bob2obo$12bo25bo4bo21bob2o22bo27bo23b3obo5bob2o11bo
10bo$11bo25bobobo12bo8b2ob2o21b2o24bo4b2obo17bo4b2obo2b2ob2o10b2obo$
10b3o2b2o19b7o9bobo7b4o2bobo17b4obo20b4obo5bo14b4obo3bo4b2o10b3obo3bob
3o$10b2ob2ob2o18b2o2b2o20b2obo2b2obo16b2obo22b2o2bobobo17b2o2b2o20b2o
8bo$10b4o22b3o23b6ob3o16b3o23b3o2b3o18b3ob2obobo16b4obo4bo$10b2o5b2o
17b2o24b2o2b4ob4o13b2o2bo2bo18b2o2bo21b2o24b2o3bo$11b3o23b3o12bobob2o
5b3o5bo17b3o23b3ob3o19b3o3bo19b3o4bob2o$11bobo2bo20b2o2bo12bobo6b2obo
3b3o16bobobo21b2o3b2o19b2obo22bobo2b2ob2o$12bobo24b5o9bo3bo8b2obo20bob
o27bo22bo24b3o3bob2o$48bo4bo2bo11bobo21bo76b2o7bo$42b2o6bo2bo16bo99b2o
5b2o$50bo120b3obobobo$49b2o121b7o$51bo121b4o$51bo!

[LaundryPizza03]

Very tightly packed 1,2,3-able pseudo-RRO:

Code: Select all

x = 44, y = 10, rule = B3-ejq4w6c/S2-c3-a4i
3o17b3o17b3o$2bo19bo19bo$b2o18b2o18b2o$20bo14b3o$35bobo$18bo15bo2bo4bo
$16b2o14b2o6b4o$16bo15b2o6bo$16b3o13b3o5bo2bo$37bo3b3o!

[NimbleRogue]

A p29400 RRO with loopability 3, 2

Code: Select all

x = 886, y = 210, rule = B2n3aeijy4ci5cr6n/S2aek3-acek4eiknr5ir6eik7e
35$107b3o$107bobo$107bo2bo$104b3o2b2o$104bo2b4o399bo$104b2o374b3o26b3o
$479bo2bo26bob2o$479b2o2b2o27bo$72bo408bo2bo23bo2b2o$54b3o425b3o$53bo
2bo$57bo10b2o409b3o$56bo12b2o408b3o$55bo16b2o$54b2o14bobob2o18b2o79bo$
54b2o14bo3bo18b2o27b2o51b2o$53b2o17bo47b2ob2o51bo$54b2o36b2o13b3o10bo
2bo356b2o$54b2o36bo3bobo8bo2bo9bo4bo3bo45bo304b2o$51b2o2bo41bo8bo2b2o
10b2obo2b3o44b2o$52b3o40bo10b2o16bobo47bo$53bo41bo15b3o12b2o$113bo$
105b4o2bobo359bo$90bobo12b2o4b2o56b2o302b2o$86b3obobo76bobo10b2o290bo$
86bobo79bo3bo9b2o$85bo2bo78bobobo$85b2o80bob2o$167b2o2$82b3o$82bo2bo
19bo$81bo4bo100bo$81b2o23bob2o76b3o$109bo75bo2b2o$85bo22bo76b4o$100bo
6b2o81bo$99b2o89b2o$83b2o11b2obo88bobo21b2o$84b2o102b3o19b2obo$95bob2o
4bo105bobobo$86b2o10bo109b2o2bo5b2o2b3o$87b2o7b2o111b2o11b2ob2o$36b3o
44b2o2bo9bo101b2o9bo7b2obo4bo$36bo3b2o42b3o111bobo19b2o2b3o$37bo3bob2o
40bo112bobo11bo7bo2bo$37bobo3b2o160b2o4b2o7bo2bo$38bobob2o165b2o10b3o$
40bo2bo161b2obo4bo$40b3o164b2o2b3o$41bo165bo2bo$55b2o150bo2bo$56b3o
149b3o$59bo135bobo$54b2o3bo131b3obobo$54bo3b2o131bobo$56b2o132bo2bo$
53bo3bo132b2o$53b4o$54bo165bo$220b2o$218bo2b2o$217bobobo$217bob2o$217b
2o39$113bo$113b2o$114bo5$106b2o$106b2o5$106b3o$106b3o2$103b3o$75b2o2bo
23bo2bo$75bo27b2o2b2o$75b2obo26bo2bo$76b3o26b3o$77bo$447bo$447b2o$448b
o2$850bo$850b2o$851bo$440b2o$440b2o3$843b2o$843b2o$440b3o$440b3o2$437b
3o$409b2o2bo23bo2bo402b3o$409bo27b2o2b2o400b3o$409b2obo26bo2bo$410b3o
26b3o398b3o$411bo400b2o2bo23bo2bo$812bo27b2o2b2o$812b2obo26bo2bo$813b
3o26b3o$814bo!

[Plasmath]

1,2,4,8-loopable p232 RRO

Code: Select all

x = 78, y = 77, rule = B2k3aeiry4ct5ckq6c8/S2-in3ijkqr4cinq5acikr6cin8
2o45b2o$bo46bo$o46bo$obo44bobo$3o44b3o20$75b3o$75bobo$77bo$76bo$76b2o
18$25b3obo28b3o11b3obo$2o23bo2b2o17b2o8b2o2b2obo7bo2b2o$bo23b2o21bo9b
o3bo2bo6b2o$o46bo11bo4bo$obo44bobo15bo$3o44b3o16bo$65b4o$65bobo$65b3o
$53bo12bo$53b3o20bo$52b2ob2o18b3o$49bobob3o18bo2bo$48bobo26bo$76bo$48b
2o25b2o$48bo$47bo26bobo$47bo2bo18b3obobo$47b3o18b2ob2o$48bo20b3o$58bo
12bo$57b3o$57bobo$56b4o$28b3o27bo16b3o$28bobo28bo15bobo$30bo29bo4bo11b
o$4b2o23bo21b2o6bo2bo3bo9bo$b2o2bo23b2o17b2o2bo7bob2o2b2o8b2o$bob3o42b
ob3o11b3o!

[sophie<3]

p1940 ping pong RRO

Code: Select all

x = 8, y = 8, rule = B3aci4-acjrw/S3-kn4-c5-nqy6-ek
3o$3o$bobob3o$b7o$bobob3o$2b3o$2b3o$3bo!

[azulavoir]

p1940 ping pong RRO

Code: Select all

x = 8, y = 8, rule = B3aci4-acjrw/S3-kn4-c5-nqy6-ek
3o$3o$bobob3o$b7o$bobob3o$2b3o$2b3o$3bo!

Code: Select all

x = 271, y = 273, rule = B3aci4-acjrw/S3-kn4-c5-nqy6-ek
135b3o$132b2obob2o$132b3o3bo$133bobob2o$132b3ob2o$130b2ob2o$130b3o$128b
2ob2o$128b3o$126b2ob2o$126b3o$124b2ob2o$124b3o$122b2ob2o$122b3o$120b2o
b2o$120b3o$118b2ob2o$118b3o$116b2ob2o$114bob3o$112b2obob2o$112b5o$112b
2obo$114b3o$114b3o$115bo3$166b3o$165b2ob2o$165bo3bo$162b3obob2o$162b2o
bobo$161b2o3b3o$162b2obobob2o$162b3o3b3o$164bo3b2ob2o$170b3o$170b2ob2o
$172b3o$172b2o2$176bo19$73bobo$74bo$72bo2bo$70b2obo$70b3o$68b2ob2o$68b
3o$66b2ob2o$66b3o$64b2ob2o$64b3o$58bo3b2ob2o$56b3o3b3o$56b2obobob2o$55b
2o3b3o$56b2obobo$56b5o$59bo3bo$58b3obo$59bo3bo$61bo2$223bo$221bo3bo$220b
3obo$218b2obo3bo$218b5o$218b2obobo$220bob3o$222b2ob2o$224b3o$224b2ob2o
$226b3o$226b2ob2o$228b3o$228b2ob2o$230b3o$230b2ob2o$232b3o$232b2ob2o$
234b3o$234b2ob2o$236b3obo$236b2ob2o$238bo2b2o$237b2ob2o$239b3o$239bo20$
6b3o$2bo3b3o$b3obob2o$2ob4o$b3obo$2bobob2o$3bo3bo256b3o$3b2ob2o255b2o
b2o$4b3o256bo3bo$263b2obobo$265bob3o$264b4ob2o$262b2obob3o$262b3o3bo$
262b3o20$31bo$29b3o$29b2ob2o$28b2o2bo$30b2ob2o$30bob3o$32b2ob2o$34b3o
$34b2ob2o$36b3o$36b2ob2o$38b3o$38b2ob2o$40b3o$40b2ob2o$42b3o$42b2ob2o
$44b3o$44b2ob2o$46b3obo$47bobob2o$48b5o$45bo3bob2o$46bob3o$45bo3bo$47b
o2$209bo$207bo3bo$208bob3o$207bo3bo$210b5o$209bobob2o$208b3o3b2o$206b
2obobob2o$206b3o3b3o$204b2ob2o3bo$204b3o$202b2ob2o$202b3o$200b2ob2o$200b
3o$198b2ob2o$198b3o$197bob2o$195bo2bo$196bo$195bobo19$94bo2$97b2o$96b
3o$96b2ob2o$98b3o$98b2ob2o3bo$100b3o3b3o$100b2obobob2o$102b3o3b2o$103b
obob2o$101b2obob3o$101bo3bo$101b2ob2o$102b3o3$155bo$154b3o$154b3o$155b
ob2o$154b5o$152b2obob2o$152b3obo$150b2ob2o$150b3o$148b2ob2o$148b3o$146b
2ob2o$146b3o$144b2ob2o$144b3o$142b2ob2o$142b3o$140b2ob2o$140b3o$138b2o
b2o$138b3o$136b2ob2o$133b2ob3o$132b2obobo$132bo3b3o$132b2obob2o$133b3o
!

And here's ten of em going for a spin.

[Plasmath]

Massive p10944 RRO that's 1,2,3,4-able:

Code: Select all

x = 573, y = 445, rule = B2n3acijr4cijqt5y6i7e8/S2aek3ijnqr4ci5-ckqy6ac7c
436bo$435b4o$435bo3bo$436bo2bo$436b3o5$419b3o$419bobo$422bo$419bo3bo$
419bo3bo$423bo$421b2o6$425b2o$419b3o2bob2o$419bobo3b2o$419bo3bobo$423b
o$422bo9$569bo$568bo$219bo346bobo3bo$218bo346b2o3bobo$216bobo3bo341b2o
bo2b3o$215b2o3bobo342b2o$214b2obo2b3o$215b2o4$569b2o$568bo$219b2o347bo
3bo$218bo349bo3bo$218bo3bo346bo$218bo3bo347bobo$219bo350b3o$220bobo$
220b3o3$553b3o$552bo2bo$203b3o346bo3bo$202bo2bo347b4o$202bo3bo348bo$
203b4o$205bo185$89b3o5b3o$89bo2b2o5bo$90b3o4bobo11b2o$91bo5b2o14bo$
109b2o$109bobo5$93b2o$93b2o$93bo$93b2o$89b2o3bo$90b4obo$91bo3b2o$95bo
2b3o18bo$95bo4bo17b3o$94bob4o17b2obo$94bo22bo2bo$94bo22b2o$117bo3b2o2$
106b2o9b2o21b3o$92b2o11bobo31b2obo$89b2o2bo11bobo31bob2o$89bo2b2o11bob
2o12bo17bo3bo$90b3o13b2ob2o9b3o5bo11bo2bo$91bo14bo13b3o4b3o10bobo$107b
3o9b2o2bo3bobo11bobo$108bo13bo3bobobo8b5o$128bo10bobo$139bobo$140bo2b
2o$141bo2bo$141b3o7$494b3o8b2ob2o$496bo12bo$495b2o6bo4b2o$492bo10bo3bo
$493b2o9b3o$128bo367bo$127b3o364b2obo$127bobobo363b3o$113bobo15b2o363b
o$113bobo16b2o$113b3o14bobo$130b2o5$516b2o$514b2ob2o$514bo2bo$514bo2bo
$515b2o26$428bo$427b4o$427bo3bo$428bo2bo$428b3o5$411b3o$411bobo$414bo$
411bo3bo$411bo3bo$415bo$413b2o6$417b2o$411b3o2bob2o$411bobo3b2o$411bo
3bobo$415bo$414bo8$215bo$214bo346bo$212bobo3bo341bo$211b2o3bobo339bobo
3bo$210b2obo2b3o338b2o3bobo$211b2o343b2obo2b3o$557b2o5$215b2o$214bo
346b2o$214bo3bo341bo$214bo3bo341bo3bo$215bo344bo3bo$216bobo342bo$216b
3o343bobo$562b3o4$199b3o$87b2o7b2o100bo2bo343b3o$87bob2o4bo2bo99bo3bo
341bo2bo$40b2o30bo14bo3bo3bo2bo100b4o341bo3bo$37bob3o21b2o5b5o12b2o2bo
2b2ob2o102bo343b4o$37bo3bo19b2o2bo4b2o16b3o4b2o450bo$37bo2bo20bo3b2o2b
o19bo$38b2o21bo4bo2b2ob2o$37b4obo19b5o2b2o2bo$40b4o20b2o4b3o$39bo3bo
27bo$39bo2bo$40b3o$55b2o34bo$50b2ob2ob2o4b3o26bo$50bob2ob2o5bo2bo32bo$
51bo2bo7bo2bo2b2o17b3o7bo2bo$51bo2b2o7bo4b3o16bo2b2o9bo$52b3o6b2obo4b
2ob2o14bo14b2o$53bo7b3o5bobobo16bob2o6bob3o$63bo5bo3bo18bobo6bo$69bo2b
2o20bo4b2o$53b2o15b3o19b3o4b2ob3o$52bobo16bo27bo3bo$52bo47bo2bo$52b2o
3bo42b3o$54b2o$54b3o33b3o$87b2o3bo$87bo2b2o$87b2o2bo$88b3o368b2o$89bo
368bo2bo$458bo2bo$60b3o3b2o389b2ob2o$59b2obo2bob2o389b2o$58b2o2bo2b3o$
59bob2o$60b2o$62bo$b2o$obo$2o$479bo$478b3o$478bob2o$479bo$469b3o9b2o$
468bo3bo10bo$466b2o4bo6b2o$466bo12bo$466b2ob2o8b3o!

[hotdogPi]

p212

Code: Select all

x = 53, y = 38, rule = R20,C0,S,B31
34bo$35bo$36bo6$31bo$10b7ob13o$8b2o28bo$6b2o$b5o$o$o38bo$o$o36bo$o41b
5o$o$o46b2o$o48bo$o49b3o$o49b3o$6o44b3o$6b3o41b3o$9b3o38b3o$12bobo35b
3o$15b2o20bo12b3o$17b2o31b3o$19b2o29b3o$21bo12b3o10b3o$22b5o11b9o$27b
2o$29bo$30b2o3$32bo!

[hotcrystal0]

1, 2, 4-able P196 RRO in a rule I investigated because traffic light predecessors become P19s:

Code: Select all

x = 116, y = 28, rule = B3-y4e6ac/S23-ae4ci5ce
100b2o$100bob2o$103bo$99bo3bo$99b4o$100bo6$67b2o42b2o$b3o41b3o18b2o2b
2o17b3o18b2o2b2o$bo2bo40bo2bo18bo3bo17bo2bo18bo3bo$o3bo39bo3bo18bo2bo
17bo3bo18bo2bo$2o2b2o38b2o2b2o18b3o17b2o2b2o18b3o$3b2o42b2o42b2o6$103b
o$101b4o$100bo3bo$100bo$100b2obo$102b2o!

(also posted in the Miscellaneous Discoveries thread)

[confocaloid]

p680 reflectorless rotating oscillator in an isotropic rule that is "midway between" Life-like rules B3/S23 and B35/S23

Code: Select all

x = 55, y = 19, rule = B35acejk/S23
bobo47bobo$3b2o48b2o$o2bo46bo2bo$b2o48b2o4$o49bo$o49bo$o35bo13bo$36bo$
36bo4$34b2o$33bo2bo$32b2o$33bobo!

[breaker's glider gun]

p1940 ping pong RRO

Code: Select all

x = 8, y = 8, rule = B3aci4-acjrw/S3-kn4-c5-nqy6-ek
3o$3o$bobob3o$b7o$bobob3o$2b3o$2b3o$3bo!

Code: Select all

x = 271, y = 273, rule = B3aci4-acjrw/S3-kn4-c5-nqy6-ek
135b3o$132b2obob2o$132b3o3bo$133bobob2o$132b3ob2o$130b2ob2o$130b3o$128b
2ob2o$128b3o$126b2ob2o$126b3o$124b2ob2o$124b3o$122b2ob2o$122b3o$120b2o
b2o$120b3o$118b2ob2o$118b3o$116b2ob2o$114bob3o$112b2obob2o$112b5o$112b
2obo$114b3o$114b3o$115bo3$166b3o$165b2ob2o$165bo3bo$162b3obob2o$162b2o
bobo$161b2o3b3o$162b2obobob2o$162b3o3b3o$164bo3b2ob2o$170b3o$170b2ob2o
$172b3o$172b2o2$176bo19$73bobo$74bo$72bo2bo$70b2obo$70b3o$68b2ob2o$68b
3o$66b2ob2o$66b3o$64b2ob2o$64b3o$58bo3b2ob2o$56b3o3b3o$56b2obobob2o$55b
2o3b3o$56b2obobo$56b5o$59bo3bo$58b3obo$59bo3bo$61bo2$223bo$221bo3bo$220b
3obo$218b2obo3bo$218b5o$218b2obobo$220bob3o$222b2ob2o$224b3o$224b2ob2o
$226b3o$226b2ob2o$228b3o$228b2ob2o$230b3o$230b2ob2o$232b3o$232b2ob2o$
234b3o$234b2ob2o$236b3obo$236b2ob2o$238bo2b2o$237b2ob2o$239b3o$239bo20$
6b3o$2bo3b3o$b3obob2o$2ob4o$b3obo$2bobob2o$3bo3bo256b3o$3b2ob2o255b2o
b2o$4b3o256bo3bo$263b2obobo$265bob3o$264b4ob2o$262b2obob3o$262b3o3bo$
262b3o20$31bo$29b3o$29b2ob2o$28b2o2bo$30b2ob2o$30bob3o$32b2ob2o$34b3o
$34b2ob2o$36b3o$36b2ob2o$38b3o$38b2ob2o$40b3o$40b2ob2o$42b3o$42b2ob2o
$44b3o$44b2ob2o$46b3obo$47bobob2o$48b5o$45bo3bob2o$46bob3o$45bo3bo$47b
o2$209bo$207bo3bo$208bob3o$207bo3bo$210b5o$209bobob2o$208b3o3b2o$206b
2obobob2o$206b3o3b3o$204b2ob2o3bo$204b3o$202b2ob2o$202b3o$200b2ob2o$200b
3o$198b2ob2o$198b3o$197bob2o$195bo2bo$196bo$195bobo19$94bo2$97b2o$96b
3o$96b2ob2o$98b3o$98b2ob2o3bo$100b3o3b3o$100b2obobob2o$102b3o3b2o$103b
obob2o$101b2obob3o$101bo3bo$101b2ob2o$102b3o3$155bo$154b3o$154b3o$155b
ob2o$154b5o$152b2obob2o$152b3obo$150b2ob2o$150b3o$148b2ob2o$148b3o$146b
2ob2o$146b3o$144b2ob2o$144b3o$142b2ob2o$142b3o$140b2ob2o$140b3o$138b2o
b2o$138b3o$136b2ob2o$133b2ob3o$132b2obobo$132bo3b3o$132b2obob2o$133b3o
!

And here's ten of em going for a spin.

you can fit 15, but it would take some work to align them right:

Code: Select all

x = 273, y = 276, rule = B3aci4-acjrw/S3-kn4-c5-nqy6-ek
132b3o$132b3o$130b2ob2o$130b3o9b3o$128b2ob2o9b3o$128b3o9bob3o$126b2ob
2o8b3obo$126b3o9b2ob4o$124b2ob2o10b3obob2o$124b3o13bo3b3obo$122b2ob2o
17b2ob2o$122b3o21bo2b2o$120b2ob2o20b2ob2o$120b3o24b3o$118b2ob2o24bo$118b
3o$116b2ob2o$116b3o$114b2ob2o$110bo3b3o$109b3obob2o$108b2ob4o$109b3ob
o$110bobob2o$111bo3bo$111b2ob2o$112b3o11$179bo$177bo3bo$92b3o81b3obo$
92bob2o78b2obo3bo$92bo2bo78b5o$90b2ob3o78b2obobo$90b3o83bob3o$88b2ob2o
85b2ob2o$88b3o89b3o$86b2ob2o89b2ob2o$86b3o93b3o$84b2ob2o93b2ob2o$84b3o
97b3o$82b2ob2o97b2ob2o$82b3o101bob2o$80b2ob2o101b3o$74bobo3b3o104bo$75b
o3bob2o$73bo4b3o$75bobob2o$74b5o$75bobobo$76b3o$76b3o12$213bo$212b3o$
211b2ob2o$209b2ob3o$208b2obobo$208bo3b3o$208b2obobob2o$53bobo153b3o2b
3o$54bo159b2ob2o$52bo2bo160b3o$50b2obo162b2ob2o$50b3o165b3o$48b2ob2o165b
2ob2o$48b3o169b3o$46b2ob2o169b2ob2o$46b3o173b3o$44b2ob2o173b2ob2o$44b
3o177b3o$39b3obob2o177b2ob2o$39b6o181b3o$39b3obo182b2o$42b3o$41b2ob2o
184bo$42b3o$43bo12$246b3o$246b3o$244b2obobo$243b6o$244b2obob2o$248b3o
$248b2ob2o$250b3o$250b2ob2o$252b3o$252b2ob2o$254b3o$254b2ob2o$256b3o$
6bo3b3o243b2ob2o$4b3o3b3o245b3o$4b2obobob2o245b2ob2o$3b2o3b3o249b3o$4b
2obobo250b2ob2o$4b5o253b3o$7bo3bo250b2ob2o$6b3obo253b3o2b3o$7bo3bo252b
2obobob2o$9bo256b3o3bo$3bo262b2obob2o$b3o265b3o$b2ob2o$2o2bo$2b2ob2o$
2bob3o$4b2ob2o251b3o$6b3o251b3o$6b2ob2o248bobobo$8b3o249b5o$8b2ob2o245b
2obobo$10b3o245b3o4bo$10b2ob2o241b2obo3bo$12b3o241b3o3bobo$12b2ob2o239b
3o$14b3o$14b2ob2o$16b3o$16b2ob2o$18b3o$18b2ob2o$20b3o$20b2ob2o$22b3ob
o$23bobob2o$24b5o$21bo3bob2o$22bob3o$21bo3bo$23bo11$224b3o$223b2ob2o$
42bo180bo3bo$223b2obobo$45b2o178bob3o$44b3o177b4ob2o$44b2ob2o173b2obo
b3o$46b3o173b3o3bo$46b2ob2o169b2ob2o$48b3o169b3o$48b2ob2o165b2ob2o$50b
3o165b3o$50b2ob2o161b2ob2o$52b3o161b3o$52b2ob2o158bob2o$54b3o156bo2bo
$54b2ob2o155bo$56b3o3bo150bobo$56b2obob3o$58b4ob2o$59bob3o$58b3obo$58b
3o$58b3o12$191bo$190b3o$190b3o$191bob2o$190b5o$188b2obob2o$188b3obo$186b
2ob2o$85bo100b3o$84b3o97b2ob2o$83b2obo97b3o$84b2ob2o93b2ob2o$86b3o93b
3o$86b2ob2o89b2ob2o$88b3o89b3o$88b2ob2o85b2ob2o$90b3o3bobo79b3o$90b2o
bo3bo78b2ob2o$92b3o4bo76b3o$93bobobo75b3ob2o$92bob5o74bo2bo$90b2o3bob
o75b2obo$91b2ob2o78b3o$91b5o$93bo18$147bo$145b5o$145b2ob2o$144b2o3bo$
146bobob2o$147bobob2o$146b3o3bo$144b2obobob2o$144b3o2b3o$142b2ob2o$142b
3o$140b2ob2o$140b3o$138b2ob2o$138b3o$136b2ob2o$136b3o$134b2ob2o$134b3o
$132b2ob2o$132b3o$130b2obo$130b5o$131bob2o$130b3o$130b3o$131bo!

[azulavoir]

you can fit 15,

Technically, but since 1940 isn't evenly divisible by 15, you don't get a period-division reaction like the p194 oscillator I posted.

[iddi01]

This one in B34e5-a/S234qtw has a surprisingly organic rotation:

Code: Select all

x = 3, y = 4, rule = B34e5-a/S234qtw
o$b2o$b2o$3o!

[confocaloid]

Are there non-symmetric RROs (mod = period)? In particular, are there odd-period RROs?

[hotcrystal0]

Are there non-symmetric RROs (mod = period)? In particular, are there odd-period RROs?

Since rectangular RROs are a thing, this might actually be plausible if there is something like Omosso’s c/98o except it doesn’t move.

[NimbleRogue]

Tiny P468 RRO

Code: Select all

x = 4, y = 3, rule = B3-cjry4jryz5iknqy6i7e/S2aek3-anry4-acntz5-aij67e
4o$obo$3o!

[hotcrystal0]

Tiny P468 RRO

Code: Select all

x = 4, y = 3, rule = B3-cjry4jryz5iknqy6i7e/S2aek3-anry4-acntz5-aij67e
4o$obo$3o!

I don’t think that counts as an RRO.

[confocaloid]

^^ That one is not loopable (a mod117 p468 oscillator).

Odd-period oscillators seem to be relatively rare. Here is a p95 unloopable reflectorless oscillator:

Code: Select all

x = 4, y = 3, rule = B2k3acijr4ijqy5e7e/S2aek3ijnqr4ei5acen6n7e8
2obo$b3o$2bo!
#C [[ ZOOM 6 ]]

p205, unloopable:

Code: Select all

x = 4, y = 3, rule = B2k3acijr4eijkqy5e6in7c/S2aek3ijnqr4ciy5cenr6ein
2obo$b3o$2bo!
#C [[ ZOOM 8 X 4 Y 8 THEME LifeHistory STARTFROM 205 ]]

Even periods:

p1508, again unloopable

Code: Select all

x = 4, y = 3, rule = B2k3acijr4ijqy5e6cn/S2-ci3-acek4iy5cenr6-ck7e8
2obo$b3o$2bo!
#C [[ ZOOM 4 ]]

1,2,4-loopable p1360

Code: Select all

x = 38, y = 38, rule = B2k3acijr4eijqy5e6cn7c/S2-ci3ijnqr4i5kr6aen7e
18bo$17b2o$16b2o$17b2o13$35bo$34b3o$34bob2o$2obo$b3o$2bo13$19b2o$20b2o
$19b2o$19bo!

1,2,4-loopable p1608

Code: Select all

x = 46, y = 46, rule = B2k3acijr4eijqy6ci7e8/S2-ci3-acey4eiy5kn6-ck
2bo40bo$b2o39b3o$2o40bob2o$b2o39$43b2o$2obo40b2o$b3o39b2o$2bo40bo!

1,2,4,5,10-loopable p1300

Code: Select all

x = 103, y = 97, rule = B2k3acijr4ijkqy5e6in/S2aek3-acey4ceiy5enr6ae7e
49b3o$49bobo$49bob2o$34b3o10bobobo$33b3o12bo3bo$33bo13bo7bo$33bo13b2o
2bob4o$34b2o10bobo3b4o$35bo12bob2o3b2o$48b3o3b2obo$55b2o$56b2o36b2o$
66b3o24b3o$65b4o20bo4bo$65bobo23b3o2bo$67bo2b2o17bob2o3bo$62b2o2b2ob2o
16b2ob4o2bo$62b2o4bo2b2o18bo2b2o$12bo53b2o2bo15bo3b2o2bo$11b3o52b3obo
15b3o$11bob2o52b2o17b3o2bo$9b2o2bo75bob2o$12b2o74b2o2bo$10bobo76b3o$
10bo79bo$15b2o13$92bo$92bo$6bo83bob2o2bo$bo3bobo85bobo$o4b3o83b2o2bo$
3o89b3o$93bo8$9bo$8b3o89b3o$7bo2b2o83b3o4bo$7bobo85bobo3bo$6bo2b2obo
83bo$10bo$10bo13$86b2o$12bo79bo$11b3o76bobo$10bo2b2o74b2o$10b2obo75bo
2b2o$11bo2b3o17b2o52b2obo$14b3o15bob3o52b3o$8bo2b2o3bo15bo2b2o53bo$7b
2o2bo18b2o2bo4b2o$6bo2b4ob2o16b2ob2o2b2o$6bo3b2obo17b2o2bo$6bo2b3o23bo
bo$8bo4bo20b4o$7b3o24b3o$7b2o36b2o$46b2o$45bob2o3b3o$46b2o3b2obo12bo$
47b4o3bobo10b2o$46b4obo2b2o13bo$47bo7bo13bo$50bo3bo12b3o$51bobobo10b3o
$50b2obo$51bobo$51b3o!

1,2,3,4-loopable p1344

Code: Select all

x = 229, y = 104, rule = B2k3acijr4eijkqy6in7c/S2-ci3-acek4ci5aen6ai7e
206bo$205b2o$204b2o$205b2o19$126b2obo$127b3o$128bo5$2obo$b3o$2bo25$78b
o$77b3o$76b2o2bo$75bobob2o$74bo6bo$73bo3bob2o$72b2o3b3o$73bo$73bo4b2o$
77bo2bo13$226bo$225b3o$225bob2o10$bo$o5bo$o$3obo3bo5b3o$5b3o6bo2bo$14b
ob2o$17b2o2$17b2obo$20bo127b2o$16b2ob2o128b2o$15bo3bo128b2o$14bobo131b
o$14b2o!

1,2,3,4,5,6-loopable p1620

Code: Select all

x = 169, y = 82, rule = B2k3acijr4eijkqy6n7e/S2-ci3-ace4ci5nr6n8
107b2o$33b2o71bobo$31bobo73bo14b3o$32bo91bo$33b3o69bo10bo3b2ob2o$31b2o
2b2o68bo9b2o$31bo3bo79bob3o$31bo2bo79bo$32b3o$113bo2bo$113bo2bo$114b3o
29bo$145bo$145b2o$152b3o$152bobo$151b2obo$14bo131bo4bo2bo$13b3o60b2obo
64b3o5b2obo$12bo2bo61b3o64bobo2bob3obo$11bobo5bo58bo62b3o$12bo4bobo
122b2o$13b2ob2o124b2o11b2o$14b3o3bo134bo$18b2o135b2o$19b2o$18bo136bo$
154b3o$153bo2bo8b2o$153b3o4b3o2b3o$154bo5b3o4bo$160bo4bo2bo$160bo5bo$
159b2o2bo4bo$161bob2o$163bo2bo$164bobo$166bo$165bobo$165bobo$165b3o9$
61bo$59b2o$60b2o$59bo3b3o$62b2ob2o$60bobo4bo$bo58bo5bobo32bo$3o61bo2bo
32b3o$ob2o60b3o33bob2o$65bo9$45b3o$45bo2bo102b4o$44bo3bo101bo2bo$43b2o
2b2o100bo$44b3o99b2o$47bo97bo2bobobo$46bobo96bo4b2o$45b2o98b2obo2$155b
o$151bo4bo$150bo2bo2bo$154b2o$152b2o$153b3o!

[NimbleRogue]

Tiny P468 RRO

I don’t think that counts as an RRO.

RRO=Reflectorless Rotating oscillator, nothing in that definition requires there to be no stator cells.
That is one of the coolest RROs I have seen

p205, unloopable:

Code: Select all

x = 4, y = 3, rule = B2k3acijr4eijkqy5e6in7c/S2aek3ijnqr4ciy5cenr6ein
2obo$b3o$2bo!
#C [[ ZOOM 8 X 4 Y 8 THEME LifeHistory STARTFROM 205 ]]

c/197o SMORRO in the rule

Code: Select all

x = 11, y = 5, rule = B2k3acijr4eijkqy5e6in7c/S2aek3ijnqr4ciy5cenr6ein
obo5bobo$ob2o3b2obo$3b2ob2o$bobo3bobo$b2o5b2o!

[confocaloid]

p205, unloopable: [...]

c/197o SMORRO in the rule

Code: Select all

x = 11, y = 5, rule = B2k3acijr4eijkqy5e6in7c/S2aek3ijnqr4ciy5cenr6ein
obo5bobo$ob2o3b2obo$3b2ob2o$bobo3bobo$b2o5b2o!

These are cool, but (unfortunately?) not quite RROs, because the active object never appears rotated. (In an isotropic rule on the square grid, two distinct phases that are rotations of each other would automatically imply even period.) So the c/197o spaceship is only a SMOROPO (spaceship made of reflectorless odd-period oscillators).
(edit: added "on the square grid" to the above, because there are 120-degree rotations on the hex grid, making it possible to have an odd-period reflectorless rotating oscillator in a hex rule.)

edit: unloopable p1920 reflectorless rambling oscillator:

Code: Select all

x = 8, y = 7, rule = B2k3acijr4ijkqty6ci8/S2-ci3ijnqr4ceity5acn6n7e
2bo$b3o$2obo$bo3bo$2bob2obo$5b2o$6b2o!
#C [[ ZOOM 4 ]]

1,2,3,4,6-loopable p1572 reflectorless rambling oscillator:

Code: Select all

x = 150, y = 60, rule = B2k3acijr4eijkqty7e/S2aek3-ace4city5aer6ei7e8
13b2o$14b2o$13b2o$13bo3$106b2o$104bo3bo$104b3o2bo$105bo3bo$108b2o$107b
o2$56b2obo40b4o42b2obo$57b3o40bobo44b3o$58bo42b2o45bo29$bo$3o$ob2o109b
3o$113bobo$113bob2o$113b2o$114b2o$115bo$109bo3b2o$111b4o$112bobo$111b
2ob2o$46bo68bo$45b2o$44b2o$45b2o!

1,2,3,4,6,12-loopable p1572 reflectorless rotating oscillator, gunnable:

Code: Select all

x = 286, y = 225, rule = B2k3acijr4eijqty7c/S2-ci3ijnqr4ity5aekr6-ck7e8
255b2o$254b7o$252bo2bo4b2o$252b2o2bo3bo$254b2ob2o$254b3o$255b2o$256bo$
255bobo5$224bo$223b3o$223bob2o$209b2o$208bob2o$207b2o2bo$207b2o2bo$
209bobo$208bo3bo$209b3o$212bo$159bo47bo3bo$158b3o46b3ob2o$158bo53bo$
158bo2bo47bobo$158bo2bo3bo43b3o$157b2obob3o$157b3ob3obo$158bo2b2o$160b
o$159b2o17$260b2o4b2o$260bo3bob3o$257b2obo2bobo3bo$257bo5bo4b2o$257b2o
b2obob4o$259b2obobo4$172bo$171b2o$170b2o$171b2o4$270b2o$271b2o$270b2o$
270bo4$178bobob2o$174b4obob2ob2o$173b2o4bo5bo$173bo3bobo2bob2o$174b3ob
o3bo$o174b2o4b2o17$282b2o$282bo$280b2o2bo$277bob3ob3o$278b3obob2o$231b
3o43bo3bo2bo$231bobo47bo2bo$230bo53bo$114b3o12b2o99b2ob3o46b3o$112bo2b
obo12b2o99bo3bo47bo$111bo4b3o10bobo98bo$111bo4bo11bo102b3o$111b2o4b2o
111bo3bo$113bo2bo114bobo$231bo2b2o$231bo2b2o$231b2obo$232b2o$216b2obo$
217b3o$218bo5$185bobo$186bo$186b2o$186b3o$184b2ob2o$182bo3bo2b2o$181b
2o4bo2bo$182b7o$186b2o28$32b2o$31b4o$30b2o2b2o$31bo2bo$32b2o2bo$34b2o
11$59b2o81bo$58bobo80bobo$58b2o82bo$143bob2o$139b2o5bo$139bo6bo$145bo
29$73b3o2$74bo5$82b3o$82bo2bo$82bo2bo$83b3o$83bo6$146bo!

1,2,5,10-loopable p2140 RRO

Code: Select all

x = 154, y = 172, rule = B2k3acijr4eijqty6i7c/S2-ci3-acey4ceity5ackr6-ck7e
136bo$134bo2b2o2b2o$133b2obobobo2bo$133bobo2bo2bobo$131b2o2bo$130bo2b
3ob3o$131bo2b3o$130bo2b3o2b2o$132bo3bo$11b3o120b2obo$8bo2b2obo$7b2o2bo
115b3o$5bobo3bo2bo113bo$5bo5bo114bo$5b2o4b2obo111bo2bo$6bo122bo$11bobo
113b3o$128bo4$78b3o$76b3o$75b2obobo$75b2obo3bo$74bo4bo2bo$75b2o5b2o$
75b2o4bob5obo$76bo2bo10bo$77b4o5bob3o$87b3o$86bo$86b3o17$21b3obo$19b2o
3bo3bo$19bo3b2o$19b2o$25bob2o122bo$23bo4bo121b3o$22bob2o2bo121bob2o$
23bo4bo$23bo2b2o$24b3o$25bo53$128bo$127b3o$126b2o2bo$125bo4bo$2obo121b
o2b2obo$b3o121bo4bo$2bo122b2obo$133b2o$129b2o3bo$125bo3bo3b2o$128bob3o
17$65b3o$67bo$64b3o$63b3obo5b4o$63bo10bo2bo$64bob5obo4b2o$70b2o5b2o$
71bo2bo4bo$71bo3bob2o$73bobob2o$75b3o$73b3o4$25bo$24b3o113bobo$24bo
122bo$24bo2bo111bob2o4b2o$27bo114bo5bo$25bo113bo2bo3bobo$24b3o115bo2b
2o$139bob2o2bo$16bob2o120b3o$17bo3bo$14b2o2b3o2bo$17b3o2bo$14b3ob3o2bo
$18bo2b2o$10bobo2bo2bobo$10bo2bobobob2o$11b2o2b2o2bo$17bo!

[Entity Valkyrie 2]

Are there non-symmetric RROs (mod = period)? In particular, are there odd-period RROs?

Since rectangular RROs are a thing, this might actually be plausible if there is something like Omosso’s c/98o except it doesn’t move.

By the way, how does one classify this P75 oscillator? (in a custom rule, just to demonstrate the concept)

Code: Select all

x = 2, y = 3, rule = modrrotest
.A$BA$BA!

It can even be made into a P25 using 3 copies:

Code: Select all

x = 13, y = 12, rule = modrrotest
4.D$2.2CD.A$2.2CF$2.2CA3$10.D$9.3D$8.2D.2D$.A6.2D$BA$BA!

[confocaloid]

Are there non-symmetric RROs (mod = period)? In particular, are there odd-period RROs?

By the way, how does one classify this P75 oscillator? (in a custom rule, just to demonstrate the concept)

Code: Select all

x = 2, y = 3, rule = modrrotest
.A$BA$BA!

It can even be made into a P25 using 3 copies:

Code: Select all

x = 13, y = 12, rule = modrrotest
4.D$2.2CD.A$2.2CF$2.2CA3$10.D$9.3D$8.2D.2D$.A6.2D$BA$BA!

Assuming that the rule "modrrotest" is isotropic, that p75 is an example of what I was asking about.
It is not quite rotating, but I think one could say it's a 1,3-loopable "reflectorless rambling oscillator" (for an apparent irregular movement).

[b-engine]

1,(non-trivial) 2-loopable p184:

Code: Select all

x = 44, y = 22, rule = B35n78/S2-c3-ky4it6a
42b2o$41b2o$42b2o$43bo15$o39bo$2o38b2o$b2o38b2o$2o38b2o!