## Reflectorless Rotating Oscillators (RRO)

For discussion of other cellular automata.
Macbi
Posts: 782
Joined: March 29th, 2009, 4:58 am

### Re: Reflectorless Rotating Oscillators (RRO)

Would it be possible to make an RRO puffer such that the RROs "interlink" like the following?

Code: Select all

``````x = 136, y = 20, rule = B2-an3-eiky4aiqw5ijnr6ak/S012ik3-acir4kqw5acq6ack7c8
bo15bo15bo15bo15bo15bo15bo15bo15bo\$o15bo15bo15bo15bo15bo15bo15bo15bo2\$
o15bo15bo15bo15bo15bo15bo15bo15bo13\$7bo15bo15bo15bo15bo15bo15bo15bo15b
o2\$7bo15bo15bo15bo15bo15bo15bo15bo15bo\$6bo15bo15bo15bo15bo15bo15bo15bo
15bo!
``````

Hdjensofjfnen
Posts: 1655
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Reflectorless Rotating Oscillators (RRO)

What the FLIP?

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!``````
EDIT: I think it's period 1912.
Last edited by Hdjensofjfnen on February 26th, 2019, 6:00 pm, edited 1 time in total.

Code: Select all

``````x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo\$4bo\$o2bo\$2o2\$2o\$o2bo\$4bo\$3bo!``````

Code: Select all

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

Moosey
Posts: 4027
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

### Re: Reflectorless Rotating Oscillators (RRO)

Hdjensofjfnen wrote:What the FLIP?

Code: Select all

``````x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o\$6bo\$o3b3o\$2o\$bo!``````
That thing is kookier than chris cain's camelship and given that it literally has gliders bouncing around inside there must be a gun.
A close call (twice period):

Code: Select all

``````x = 133, y = 109, rule = B3/S2-i3-y4i
56b2ob2o\$56b2ob2o2\$56b2ob2o\$56b2ob2o2\$3b2ob2o\$3b2ob2o2\$3b2ob2o\$3b2ob2o
33\$61bo\$62bo\$23b2ob2o32b3o\$23b2ob2o\$122b2ob2o\$122b2ob2o2\$122b2ob2o\$3b
2o117b2ob2o\$2bob2ob2o\$b2o5b2o59b2ob2o\$3o4bob2o58b2ob2o\$b3o\$2bo4bo61b2o
b2o\$4bo11bo52b2ob2o\$4bo2bo9bo\$3bo14bo\$4b2o9bobo\$10bo2b2obo29\$127bo\$
128bo\$89b2ob2o32b3o\$89b2ob2o5\$69b2o\$68bob2ob2o\$67b2o5b2o52b2ob2o\$66b3o
4bob2o51b2ob2o\$67b3o\$68bo4bo54b2ob2o\$70bo11bo45b2ob2o\$70bo2bo9bo\$69bo
14bo\$70b2o9bobo\$76bo2b2obo!
``````
EDIT:

Code: Select all

``````x = 112, y = 117, rule = B3/S2-i3-y4i
48b2ob2o\$48b2ob2o2\$48b2ob2o\$48b2ob2o39b3o\$92bobo\$92bobo3\$96bo\$88bo6b4o
\$81bo4b2o7bo2bo\$79b2o3b3obo9b2o\$80bobob2o11b2o\$80bo15b2o\$82b3o11b2o\$
84bo\$82b2o\$82bo9bo18\$76b3o\$76bo\$77bo8\$19bobo\$19bo3bo3bo79b2ob2o\$24bobo
bo78b2ob2o\$19bo\$19bo10bo76b2ob2o\$20bo4bobo2bo76b2ob2o\$22b2obo2bo\$54b2o
b2o\$54b2ob2o36bo\$95bo\$54b2ob2o\$54b2ob2o2\$53b2ob2o\$53b2ob2o\$16bo\$16bo
36b2ob2o\$53b2ob2o\$83bo2bob2o\$2ob2o76bo2bobo4bo\$2ob2o76bo10bo\$92bo\$2ob
2o78bobobo\$2ob2o79bo3bo3bo\$90bobo8\$34bo\$35bo\$33b3o18\$19bo9bo\$28b2o\$27b
o\$14b2o11b3o\$14b2o15bo\$13b2o11b2obobo\$12b2o9bob3o3b2o\$13bo2bo7b2o4bo\$
13b4o6bo\$15bo3\$17bobo\$17bobo\$17b3o39b2ob2o\$59b2ob2o2\$59b2ob2o\$59b2ob2o
!
``````
Another close call:

Code: Select all

``````x = 123, y = 118, rule = B3/S2-i3-y4i
59b2ob2o\$59b2ob2o2\$59b2ob2o\$59b2ob2o39b3o\$103bobo\$103bobo3\$107bo\$99bo
6b4o\$92bo4b2o7bo2bo\$90b2o3b3obo9b2o\$91bobob2o11b2o\$91bo15b2o\$93b3o11b
2o\$95bo\$93b2o\$93bo9bo18\$87b3o\$87bo\$88bo9\$59b2ob2o54b2ob2o\$59b2ob2o54b
2ob2o2\$59b2ob2o54b2ob2o\$17b3o39b2ob2o54b2ob2o\$17bobo\$17bobo45b2ob2o\$
65b2ob2o36bo\$106bo\$15bo49b2ob2o\$13b4o6bo41b2ob2o\$13bo2bo7b2o4bo\$12b2o
9bob3o3b2o\$13b2o11b2obobo\$14b2o15bo\$14b2o11b3o\$27bo\$28b2o64bo2bob2o\$
19bo9bo62bo2bobo4bo\$92bo10bo\$103bo\$94bobobo\$95bo3bo3bo\$101bobo13\$33b3o
\$35bo\$34bo9\$2ob2o\$2ob2o2\$2ob2o\$2ob2o2\$53b2ob2o\$16bo36b2ob2o\$16bo\$53b2o
b2o\$53b2ob2o7\$22b2obo2bo\$20bo4bobo2bo\$19bo10bo\$19bo\$24bobobo\$19bo3bo3b
o\$19bobo!
``````
Oh well

Code: Select all

``````x = 91, y = 135, rule = B3/S2-i3-y4i
2ob2o\$2ob2o2\$2ob2o\$2ob2o39b3o\$44bobo\$44bobo3\$48bo\$40bo6b4o\$33bo4b2o7bo
2bo\$31b2o3b3obo9b2o\$32bobob2o11b2o\$32bo15b2o\$34b3o11b2o\$36bo\$34b2o\$34b
o9bo18\$28b3o\$28bo\$29bo9\$59b2ob2o\$59b2ob2o2\$59b2ob2o\$59b2ob2o2\$6b2ob2o\$
6b2ob2o36bo\$47bo\$6b2ob2o\$6b2ob2o7\$27b2ob2o3bo2bob2o\$27b2ob2obo2bobo4bo
\$33bo10bo\$27b2ob2o12bo\$27b2ob2o3bobobo31b3o\$36bo3bo3bo26bobo\$42bobo26b
obo3\$75bo\$67bo6b4o\$60bo4b2o7bo2bo\$58b2o3b3obo9b2o\$59bobob2o11b2o\$59bo
15b2o\$61b3o11b2o\$63bo\$61b2o\$61bo9bo18\$55b3o\$55bo\$56bo9\$86b2ob2o\$86b2ob
2o2\$86b2ob2o\$86b2ob2o2\$33b2ob2o\$33b2ob2o36bo\$74bo\$33b2ob2o\$33b2ob2o7\$
62bo2bob2o\$60bo2bobo4bo\$60bo10bo\$71bo\$62bobobo\$63bo3bo3bo\$69bobo!
``````

Code: Select all

``````x = 141, y = 158, rule = B3/S2-i3-y4i
118b2ob2o\$118b2ob2o2\$118b2ob2o\$118b2ob2o8\$79b4o\$78bo4bo\$78bo4b2o\$78bo
5bobo35b3o\$82b2obo2bo35bo\$79b2o5bo35b2o\$80bob6o6b3o24bo5b2o\$79bo14b4o
29b2o\$80b3o4bob2o3b2obo34bo4b2o\$77bo3b2o3b2obobo40bo5b2o\$78bobo2b2obo
4bo45bo2bo\$85bo5bo46bobo\$84b2o4bo38bobo5bo\$82b3o52b2o\$81b6o51bo\$81bo3b
o\$81bo3bo\$82bobo27bo\$83bo26b2o\$111b2o9\$47b2ob2o\$47b2ob2o2\$47b2ob2o\$47b
2ob2o8\$8b4o\$7bo4bo111b2ob2o\$7bo4b2o110b2ob2o\$7bo5bobo35b3o\$11b2obo2bo
35bo70b2ob2o\$8b2o5bo35b2o71b2ob2o\$9bob6o6b3o24bo5b2o\$8bo14b4o29b2o13b
2ob2o\$9b3o4bob2o3b2obo34bo4b2o3b2ob2o\$6bo3b2o3b2obobo40bo5b2o\$7bobo2b
2obo4bo45bo2bob2ob2o\$14bo5bo46bobob2ob2o\$13b2o4bo38bobo5bo\$11b3o52b2o\$
10b6o51bo\$10bo3bo\$10bo3bo\$11bobo27bo\$12bo26b2o\$40b2o17\$89b2o\$91bo\$86b
2obob2o\$87b2obobo2\$53b2ob2o\$53b2ob2o2\$53b2ob2o33b2o\$53b2ob2o30bo2\$2ob
2o83bo\$2ob2o50b2ob2o33b2o\$55b2ob2o33b2o\$2ob2o\$2ob2o50b2ob2o\$55b2ob2o
36b2o\$95bobo\$95bobo10b2ob2o\$94bo13b2ob2o2\$108b2ob2o\$108b2ob2o6\$81bobo\$
81b2o\$82bo13\$92b2o\$93b2o\$92b3o\$92b3o3\$89b3o\$88bo3bo\$91b2o\$96bo\$91b2obo
\$86bo3b2o2b2obo\$84b3ob2o4bobo\$83bo2b3obo3bo2b2o\$82bo3b2o2bo3bobob2o\$
83bo2b2o3b2obobo3bo\$84b3o4b2o7bo\$90bobob2o4bo\$93bobo4bo\$90bo6b3o\$91bo
2\$49b2ob2o\$49b2ob2o2\$49b2ob2o\$49b2ob2o!
``````
EDIT:
SOOOOOOO CLOSE!!!!

Code: Select all

``````x = 113, y = 134, rule = B3/S2-i3-y4i
47b2ob2o\$47b2ob2o2\$47b2ob2o\$47b2ob2o8\$12bo\$10b4o\$10bo2b3o\$9b2o3b2o\$10b
2o42b2o\$4b3o\$4bo\$4b3o11bo47b2ob2o\$65bo\$70bo\$64bo\$10bobo51bo4bo\$11bo56b
o\$11b2o51b2o\$12b2o54bo\$12b2ob2o48bo3bo\$15bobo46bo3bo\$13bobob2o\$11bo53b
2o\$12b3o\$12bo\$36bo\$36bobo\$36b2o18\$53b2ob2o\$53b2ob2o2\$53b2ob2o\$53b2ob2o
2\$2ob2o\$2ob2o2\$2ob2o\$2ob2o44b2ob2o\$49b2ob2o2\$49b2ob2o\$49b2ob2o39b3o\$
93bobo\$93bobo3\$97bo\$89bo6b4o\$82bo4b2o7bo2bo\$80b2o3b3obo9b2o\$81bobob2o
11b2o\$81bo15b2o\$83b3o11b2o\$85bo\$83b2o\$83bo9bo18\$77b3o\$77bo\$78bo9\$108b
2ob2o\$108b2ob2o2\$108b2ob2o\$108b2ob2o2\$55b2ob2o\$55b2ob2o36bo\$96bo\$55b2o
b2o\$55b2ob2o7\$84bo2bob2o\$82bo2bobo4bo\$82bo10bo\$93bo\$84bobobo\$85bo3bo3b
o\$91bobo!
``````
*Abhpzta looks over shoulder*
"oh, that's easy"
*makes gun in three seconds*
Last edited by Moosey on February 26th, 2019, 6:08 pm, edited 2 times in total.
My CA rules can be found here

Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
Nanho walåt derwo esaato?

Hdjensofjfnen
Posts: 1655
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Reflectorless Rotating Oscillators (RRO)

Another much less impressive RRO:

Code: Select all

``````x = 4, y = 4, rule = B3/S2-i3-r4i
2o\$o\$bobo\$2bo!``````

Code: Select all

``````x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo\$4bo\$o2bo\$2o2\$2o\$o2bo\$4bo\$3bo!``````

Code: Select all

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

Moosey
Posts: 4027
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

### Re: Reflectorless Rotating Oscillators (RRO)

FINALLY!!!!!! (p3824 gun)

Code: Select all

``````x = 147, y = 76, rule = B3/S2-i3-y4i
47b2ob2o\$47b2ob2o2\$47b2ob2o\$47b2ob2o7\$129bo\$12bo115bobo\$10b4o71bo43bob
o\$10bo2b3o68bo45bo\$9b2o3b2o69bo44bo\$10b2o42b2o31bo40b3o\$4b3o81bo39bo2b
o\$4bo81b2o41bobo\$4b3o11bo47b2ob2o14bo4bo37b2obo\$65bo18b3o2bobo34b2o\$
70bo16bobo35b2o2b2o\$64bo22b2o3bobo31b3o\$10bobo51bo4bo17bo5bo33b2o4b2o\$
11bo56bo65b2o\$11b2o51b2o62b2o\$12b2o54bo63bobo\$12b2ob2o48bo3bo53b2o2bob
2obobo\$15bobo46bo3bo53bo6bo2bobo\$13bobob2o103bobobo\$11bo53b2obo5bo46bo
6b2obo\$12b3o52bobo3b2o47b3o6b2o\$12bo59bobo51b2obob2o\$36bo33bobo2b3o49b
ob2o\$36bobo32bo4bo\$36b2o36b2o\$73bo\$74bo\$76bo\$77bo\$76bo13\$53b2ob2o\$53b
2ob2o2\$53b2ob2o\$53b2ob2o2\$2ob2o\$2ob2o2\$2ob2o\$2ob2o2\$142b2ob2o\$142b2ob
2o2\$142b2ob2o\$142b2ob2o2\$89b2ob2o\$89b2ob2o2\$89b2ob2o\$89b2ob2o!
``````
p26768:

Code: Select all

``````x = 326, y = 76, rule = B3/S2-i3-y4i
47b2ob2o222b2ob2o\$47b2ob2o222b2ob2o2\$47b2ob2o222b2ob2o\$47b2ob2o222b2ob
2o7\$129bo66bo\$12bo115bobo64bobo115bo\$10b4o71bo43bobo62bobo43bo71b4o\$
10bo2b3o68bo45bo64bo45bo68b3o2bo\$9b2o3b2o69bo44bo64bo44bo69b2o3b2o\$10b
2o42b2o31bo40b3o64b3o40bo31b2o42b2o\$4b3o81bo39bo2bo62bo2bo39bo81b3o\$4b
o81b2o41bobo62bobo41b2o81bo\$4b3o11bo47b2ob2o14bo4bo37b2obo62bob2o37bo
4bo14b2ob2o47bo11b3o\$65bo18b3o2bobo34b2o70b2o34bobo2b3o18bo\$70bo16bobo
35b2o2b2o64b2o2b2o35bobo16bo\$64bo22b2o3bobo31b3o68b3o31bobo3b2o22bo\$
10bobo51bo4bo17bo5bo33b2o4b2o56b2o4b2o33bo5bo17bo4bo51bobo\$11bo56bo65b
2o54b2o65bo56bo\$11b2o51b2o62b2o66b2o62b2o51b2o\$12b2o54bo63bobo56bobo
63bo54b2o\$12b2ob2o48bo3bo53b2o2bob2obobo56bobob2obo2b2o53bo3bo48b2ob2o
\$15bobo46bo3bo53bo6bo2bobo56bobo2bo6bo53bo3bo46bobo\$13bobob2o103bobobo
72bobobo103b2obobo\$11bo53b2obo5bo46bo6b2obo62bob2o6bo46bo5bob2o53bo\$
12b3o52bobo3b2o47b3o6b2o60b2o6b3o47b2o3bobo52b3o\$12bo59bobo51b2obob2o
60b2obob2o51bobo59bo\$36bo33bobo2b3o49bob2o64b2obo49b3o2bobo33bo\$36bobo
32bo4bo172bo4bo32bobo\$36b2o36b2o174b2o36b2o\$73bo178bo\$74bo176bo\$76bo
172bo\$77bo170bo\$76bo172bo13\$53b2ob2o210b2ob2o\$53b2ob2o210b2ob2o2\$53b2o
b2o210b2ob2o\$53b2ob2o210b2ob2o2\$2ob2o316b2ob2o\$2ob2o316b2ob2o2\$2ob2o
316b2ob2o\$2ob2o316b2ob2o2\$142b2ob2o32b2ob2o\$142b2ob2o32b2ob2o2\$142b2ob
2o32b2ob2o\$142b2ob2o32b2ob2o2\$89b2ob2o138b2ob2o\$89b2ob2o138b2ob2o2\$89b
2ob2o138b2ob2o\$89b2ob2o138b2ob2o!
``````
My CA rules can be found here

Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
Nanho walåt derwo esaato?

toroidalet
Posts: 1212
Joined: August 7th, 2016, 1:48 pm
Location: My computer
Contact:

### Re: Reflectorless Rotating Oscillators (RRO)

p1912 gun:

Code: Select all

``````x = 173, y = 129, rule = B3/S2-i3-y4i
9\$64b2ob2o\$64b2ob2o2\$64b2ob2o\$64b2ob2o2\$11b2ob2o\$11b2ob2o2\$11b2ob2o\$
11b2ob2o12\$37b2o\$38b2o\$37bo17\$65bo\$59b3o3bo\$58bo2bo3bo\$58bo2bo\$61bo2bo
23b2ob2o34bo\$64b2o22b2ob2o33b3o\$126bob2o\$88b2ob2o35b2o\$88b2ob2o2\$125bo
\$125b2o\$125bobo\$63bob2o59bo2bobo7bo\$63bo2bo57b2o3b2o7b2o\$63b3o58b2o3b
2o7bob2o\$125b2ob3o7b5o\$128b3o7b2obo5bo\$17b2ob2o104bo2bobo7bobobo3bobo\$
17b2ob2o109b2o5bo4bo3bob2o\$130b3o14b3o\$17b2ob2o112bobo10b2o\$17b2ob2o\$
135bo\$140b2o2b3o\$146bo\$116bo18b2o6bob2o\$115b3o17bobo5b2o\$115bobo20bo\$
135bobo\$119b2o14b2o\$111b2o7b2o\$110b2o7b2o\$111b2o2\$114bobo5b2obobo\$114b
3o8bo2bo\$115bo6b2obob2o\$123bob2o\$122b2obo\$121bo2b2o\$120bo\$120bobo\$120b
o2bo\$121bo2bo\$121bo2bo\$122b3o5\$147b2ob2o\$147b2ob2o\$134b2o\$134b2o11b2ob
2o\$147b2ob2o2\$94b2ob2o\$94b2ob2o2\$94b2ob2o\$94b2ob2o!
``````
Creationism is an insult to God. He would have done a much better job.

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

### Re: Reflectorless Rotating Oscillators (RRO)

A minimal 1/2/4 RRO with small periods 68/34/17:

Code: Select all

``````x = 47, y = 45, rule = B2ce4a5-eknq/S012ik3ejnr4ijr5j6k7e
10\$26b2o\$9bo12bo12bo\$7bobo10bobo4bo5bobo6\$12bobo10bobo5bo\$12bo12bo\$33b
2o7\$20bo2\$19bob5o\$22bo2bobo\$21b5o5\$20bo2\$19bob7o3bo\$22bo5bobobo\$21b7o
3bo!
``````
Further, I tried to find a 7-fold (in fact 1/2/4/5/7) with a period of 140/70/35/28/20 but I failed. The closest I found is this one, which is only 1/2/4/5(+failed 7) fold:

Code: Select all

``````x = 109, y = 53, rule = B2e3cin4jkwz5kqy6k/S12acn3aejqr4ajkqz5cjry
15\$11b2o20b2o4b2o14b2o8bo11b2o20b2o\$12b2o20b2o2b3o15b2o5bo2bo11b2o20b
2o\$11b3o19b3o2bobo14b3o6b2o11b3o19b3o3\$99bobo2\$99b2o\$101bo\$101bo\$60b3o
15b2o20bo\$61b2o14bo22b2o\$61bo15bobo19b3o\$60b2o16b2o\$78bo\$60bo17b2o\$60b
2o15b3o\$16b3o19b3o14bobo9bo4bo\$16b2o20b2o15b3o8bo4bo\$17b2o20b2o14b2o
10b2o3bo!``````
Edit1:
A lower period 1/2/4-fold (p 64/32/16):

Code: Select all

``````x = 79, y = 60, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
18\$70bo\$70b2o\$70bo2\$74bo4\$5b2o13b2o4bobo6b2o\$26bo43bo\$4bobo12bobo6bo5b
obo33b2o\$70bo\$74bo4\$11bobo12bobo5bo\$36bo\$11b2o13b2o6bobo33bo\$70b2o\$70b
o3bo9\$70bo\$70b2o2bo\$70bo5\$62bo7bo\$62b2o6b2o2bo\$62bo7bo!
``````
(This rule has a small c/2 ship and a nice 3-dot failed replicator and is stable)
Last edited by 2718281828 on March 21st, 2019, 1:00 pm, edited 3 times in total.

muzik
Posts: 3946
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Reflectorless Rotating Oscillators (RRO)

It's something.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

Posts: 747
Joined: May 7th, 2016, 8:53 am
Contact:

### Re: Reflectorless Rotating Oscillators (RRO)

toroidalet wrote:p1912 gun:

Code: Select all

``````x = 173, y = 129, rule = B3/S2-i3-y4i
9\$64b2ob2o\$64b2ob2o2\$64b2ob2o\$64b2ob2o2\$11b2ob2o\$11b2ob2o2\$11b2ob2o\$
11b2ob2o12\$37b2o\$38b2o\$37bo17\$65bo\$59b3o3bo\$58bo2bo3bo\$58bo2bo\$61bo2bo
23b2ob2o34bo\$64b2o22b2ob2o33b3o\$126bob2o\$88b2ob2o35b2o\$88b2ob2o2\$125bo
\$125b2o\$125bobo\$63bob2o59bo2bobo7bo\$63bo2bo57b2o3b2o7b2o\$63b3o58b2o3b
2o7bob2o\$125b2ob3o7b5o\$128b3o7b2obo5bo\$17b2ob2o104bo2bobo7bobobo3bobo\$
17b2ob2o109b2o5bo4bo3bob2o\$130b3o14b3o\$17b2ob2o112bobo10b2o\$17b2ob2o\$
135bo\$140b2o2b3o\$146bo\$116bo18b2o6bob2o\$115b3o17bobo5b2o\$115bobo20bo\$
135bobo\$119b2o14b2o\$111b2o7b2o\$110b2o7b2o\$111b2o2\$114bobo5b2obobo\$114b
3o8bo2bo\$115bo6b2obob2o\$123bob2o\$122b2obo\$121bo2b2o\$120bo\$120bobo\$120b
o2bo\$121bo2bo\$121bo2bo\$122b3o5\$147b2ob2o\$147b2ob2o\$134b2o\$134b2o11b2ob
2o\$147b2ob2o2\$94b2ob2o\$94b2ob2o2\$94b2ob2o\$94b2ob2o!
``````
Is this the same?

Code: Select all

``````x = 153, y = 163, rule = B3/S2-i3-y4i
152bo\$150b3o\$149bo\$135b2ob2o9b2o\$135b2ob2o2\$135b2ob2o\$135b2ob2o2\$82b2o
b2o\$82b2ob2o2\$82b2ob2o\$82b2ob2o28\$91b3o\$91bobo\$90bo2bo\$89bo2b2o43bo\$
93bo44b2o\$91bo4bo40b2o2\$96bo5b2ob2o\$102b2ob2o2\$97bo\$97bo\$95bo3\$82b2o
57b2ob2o\$82bo58b2ob2o\$83b2o\$84b5o52b2ob2o\$84bo3bo52b2ob2o\$85b2o2b2o5bo
\$86b2o2b2o3bobo\$86bobobo5bo\$87bobo\$88bo6\$90b3o\$83bo5bo3bo\$82bobo4bo3bo
\$83bo5b2o2b2o\$34b2ob2o52bobo\$34b2ob2o52b2ob2o\$96bo\$34b2ob2o58bo\$34b2ob
2o54bo2b2o\$93bo\$83bo\$83bo\$81bobo2\$83bo\$73b2ob2o\$73b2ob2o\$82b3o\$41b2o
44bo\$41bobo43bobo\$41bo45bobo\$86bo2bo\$86b3o\$87bo28\$93b2ob2o\$93b2ob2o2\$
93b2ob2o\$93b2ob2o2\$40b2ob2o\$40b2ob2o2\$40b2ob2o\$40b2ob2o27\$2b2o\$3bo\$3o\$
o!``````
According to OSCAR.py, it has period 1912. It was quite easy to find manually (less than 5mins) withOUT reading former results. So much fun!

[APPEND]

Nope, mine has two barrels!

[EDIT #2]

2019.03.22 - gun with 4 barrels composed of 2 RROs with symmetric phases:

Code: Select all

``````#C 2019.03.22 - gun with 4 barrels composed of 2 RROs with symmetric phases:
x = 104, y = 137, rule = B3/S2-i3-y4i
93b2ob2o\$93b2ob2o2\$93b2ob2o\$93b2ob2o2\$40b2ob2o\$40b2ob2o11b2o\$56b2o\$40b
2ob2o\$o39b2ob2o22b3o\$3o63bo2bo\$3bo62bo3bo\$2b2o61b2o2bo\$66bo\$66b2o\$68b
3o\$67bo2bo\$67bo2bo\$67b3o\$76bo\$64bo10bobo\$63bobo8b5o\$2o60bo2bo7b2o3b2o\$
bo59b2obo7b2o5b2o\$bobo58bo2bo7b2o3b2obo\$2b2o61bo4bo3bo3bob3o\$64b2o3b3o
7b2ob2o\$54b2o12b2ob2o10b2o\$53bo2bo10b2o14bobo\$57bo8bobo14b2o\$52bob4o9b
2o10b2ob2o\$48b3o17b2ob2o7b3o\$52bo16b3obo3bo3bo\$49bobobo16bob2o3b2o\$44b
o6b2ob4o13b2o5b2o\$43bobo6bo4bo14b2o3b2o\$46bobo4bo2bo16b5o\$48b2o4b2o18b
obo\$39bo2bo6bo25bo\$39bo2bo15bo\$38bo9b2o7bobo\$38bo3bo4bobo7bobo\$39bo2bo
15bo\$40b3o4b2o10b4o\$60bo2bo\$59bo2bo\$59bo2bo\$59bo3b2ob2o\$63bo4bo\$62b4o\$
62b2o3bobo\$69bo\$64bo3bo30b2ob2o\$63bo35b2ob2o\$63bo2bo\$64bobo32b2ob2o\$
66bob2o29b2ob2o\$65b4o\$65bo\$63b2o16\$39b2o\$38bo\$35b4o\$2ob2o29b2obo\$2ob2o
32bobo\$37bo2bo\$2ob2o35bo\$2ob2o30bo3bo\$34bo\$34bobo3b2o\$38b4o\$35bo4bo\$
36b2ob2o3bo\$41bo2bo\$41bo2bo\$40bo2bo\$41b4o10b2o4b3o\$45bo15bo2bo\$44bobo
7bobo4bo3bo\$44bobo7b2o9bo\$45bo15bo2bo\$28bo25bo6bo2bo\$27bobo18b2o4b2o\$
26b5o16bo2bo4bobo\$25b2o3b2o14bo4bo6bobo\$24b2o5b2o13b4ob2o6bo\$25b2o3b2o
bo16bobobo\$22bo3bo3bob3o16bo\$21b3o7b2ob2o17b3o\$20b2ob2o10b2o9b4obo\$19b
2o14bobo8bo\$18bobo14b2o10bo2bo\$19b2o10b2ob2o12b2o\$20b2ob2o7b3o3b2o\$21b
3obo3bo3bo4bo61b2o\$22bob2o3b2o7bo2bo58bobo\$23b2o5b2o7bob2o59bo\$24b2o3b
2o7bo2bo60b2o\$25b5o8bobo\$26bobo10bo\$27bo\$34b3o\$33bo2bo\$33bo2bo\$33b3o\$
36b2o\$37bo\$34bo2b2o61b2o\$33bo3bo62bo\$34bo2bo63b3o\$34b3o22b2ob2o39bo\$
59b2ob2o\$46b2o\$46b2o11b2ob2o\$59b2ob2o2\$6b2ob2o\$6b2ob2o2\$6b2ob2o\$6b2ob
2o!
``````
Last edited by Naszvadi on March 22nd, 2019, 1:02 pm, edited 1 time in total.

muzik
Posts: 3946
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Reflectorless Rotating Oscillators (RRO)

Have you maybe tried looking for something along the lines of a 1/2/4/8/16 RRO? Or a 1/2/3/4/6/8/12/16 RRO? These might be easier targets than 1/2/3/4/5/6/7 for now.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

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

### Re: Reflectorless Rotating Oscillators (RRO)

muzik wrote:Have you maybe tried looking for something along the lines of a 1/2/4/8/16 RRO? Or a 1/2/3/4/6/8/12/16 RRO? These might be easier targets than 1/2/3/4/5/6/7 for now.
I am not looking for a 1/2/3/4/5/6/7 - that's far beyond what we can find. I am looking for any 1/x1/.../xn/7 (e.g. 1/2/4/5/7, or maybe 1/2/3/4/6/7). I suspect that it will be much easier to find a 1/x1/.../xn/16 as the RRO must move quite fast for the 1/2/4/8 we have the 'ships' get already quite close to each other, for a 1/x1/.../xn/16 we require roughly the double radius.

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

### Re: Reflectorless Rotating Oscillators (RRO)

2718281828 wrote:Edit1:
A lower period 1/2/4-fold (p 64/32/16):

Code: Select all

``````x = 79, y = 60, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
18\$70bo\$70b2o\$70bo2\$74bo4\$5b2o13b2o4bobo6b2o\$26bo43bo\$4bobo12bobo6bo5b
obo33b2o\$70bo\$74bo4\$11bobo12bobo5bo\$36bo\$11b2o13b2o6bobo33bo\$70b2o\$70b
o3bo9\$70bo\$70b2o2bo\$70bo5\$62bo7bo\$62b2o6b2o2bo\$62bo7bo!
``````
(This rule has a small c/2 ship and a nice 3-dot failed replicator and is stable)
An interesting glider-advancing reaction in this rule:

Code: Select all

``````x = 8, y = 12, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
o\$2o5bo\$o7\$o\$2o\$o!
``````

Moosey
Posts: 4027
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

### Re: Reflectorless Rotating Oscillators (RRO)

77topaz wrote:
2718281828 wrote:Edit1:
A lower period 1/2/4-fold (p 64/32/16):

Code: Select all

``````x = 79, y = 60, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
18\$70bo\$70b2o\$70bo2\$74bo4\$5b2o13b2o4bobo6b2o\$26bo43bo\$4bobo12bobo6bo5b
obo33b2o\$70bo\$74bo4\$11bobo12bobo5bo\$36bo\$11b2o13b2o6bobo33bo\$70b2o\$70b
o3bo9\$70bo\$70b2o2bo\$70bo5\$62bo7bo\$62b2o6b2o2bo\$62bo7bo!
``````
(This rule has a small c/2 ship and a nice 3-dot failed replicator and is stable)
An interesting glider-advancing reaction in this rule:

Code: Select all

``````x = 8, y = 12, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
o\$2o5bo\$o7\$o\$2o\$o!
``````
Oh, neat!

Code: Select all

``````x = 8, y = 9, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
o\$2o5bo\$o4\$o\$2o5bo\$o!
``````
I like the Heisenburp reaction in this:

Code: Select all

``````x = 8, y = 9, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
2o\$o6bo\$2o4\$o\$2o5bo\$o!
``````
This one’s cool:

Code: Select all

``````x = 10, y = 9, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
o\$2o7bo\$o4\$bo\$b2o6bo\$bo!
``````
The rule is explosive, however.

Code: Select all

``````x = 18, y = 13, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
2o\$o16bo\$2o3\$bo\$b2o5bo\$bo3\$2o\$o16bo\$2o!
``````
EDIT:
Wow.

Code: Select all

``````x = 19, y = 41, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
2o\$o17bo\$2o3\$bo\$b2o5bo\$bo3\$2o\$o17bo\$2o16\$2o\$o\$2o3\$bo\$b2o\$bo3\$2o\$o\$2o!
``````

Code: Select all

``````x = 19, y = 13, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7eHistory
2A\$A17.C\$2A3\$.A\$.2A5.C\$.A3\$2A\$A17.C\$2A!
``````
Hey, another ship:

Code: Select all

``````x = 18, y = 8, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
o9bo\$2o8b2o5bo\$o9bo3\$bo8bo\$b2o7b2o3bo\$bo8bo!
``````
My CA rules can be found here

Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
Nanho walåt derwo esaato?

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

### Re: Reflectorless Rotating Oscillators (RRO)

I think this is the smallest period RRO, 1/2-fold with period 28/14:

Code: Select all

``````x = 17, y = 22, rule = B2ack3enr4jq5in/S1e2i3ceky4jnt
2bo13bo\$bo13bo\$3o11b3o3\$9b3o\$10bo\$9bo11\$3bo\$o2bo2\$o!
``````
Edit1:
There also exist a couple of rules with at least two different small RROs, some of them are stable, like this:

Code: Select all

``````x = 54, y = 11, rule = B2ck3anqr4ikqr5aeiq6aik7/S1e2ai3-aciy4ajkry5n6-ce7c8
49b5o\$22bo11bo14bobobo\$o9bo9bo2bo8bo2bo14b3o\$3o7b3o8b3o9b3o7b3o4b3o\$bo
9bo10bo11bo9bo6bo3\$6bo22bo\$5b3o20b3o\$7bo20bo2bo\$29bo!
``````
Last edited by 2718281828 on March 22nd, 2019, 10:57 am, edited 1 time in total.

Saka
Posts: 3614
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

### Re: Reflectorless Rotating Oscillators (RRO)

Moosey wrote: Wow.

Code: Select all

``````x = 19, y = 41, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
2o\$o17bo\$2o3\$bo\$b2o5bo\$bo3\$2o\$o17bo\$2o16\$2o\$o\$2o3\$bo\$b2o\$bo3\$2o\$o\$2o!
``````
This is really neat. The constellation of dots actually remains intact (Although a few more dots are added) and it produces 3 additional gliders, although I don't really see how the 2 that go behind the 3 glider group can be used directly, and the 3 glider group does change phase.

This could possibly lead to a spaceship.

Some random direct reactions found by hand

Code: Select all

``````x = 30, y = 31, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
19b2o\$19bo9bo\$19b2o5\$12b2o5b2o\$12bo6bo9bo\$12b2o5b2o5\$11bo7b2o\$11b2o6bo
9bo\$11bo7b2o5\$10bo8b2o\$10b2o7bo9bo\$10bo8b2o5\$o9bo8b2o\$2o8b2o7bo9bo\$o9b
o8b2o!
``````
Pull back dot 1 cell+spaceship

Code: Select all

``````x = 23, y = 8, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
2b2o\$2bo19bo\$2b2o3\$2o\$o\$2o!
``````
Delete operation

Code: Select all

``````x = 26, y = 4, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
2o15bo\$o16b2o\$2o15bo\$8bo16bo!
``````
Push dot by 7 cells

Code: Select all

``````x = 37, y = 16, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
2o\$o\$2o4\$16b2o\$16bo19bo\$16b2o3\$15bo\$15b2o\$4b2o9bo\$4bo\$4b2o!
``````
Currently taking a little break, but still hanging around on the Discord server.
Add your computer to the Table of Lifeenthusiast Computers!

googoIpIex
Posts: 269
Joined: February 28th, 2019, 4:49 pm
Location: Sqrt(-1)

### Re: Reflectorless Rotating Oscillators (RRO)

A period 840 RRO could be 1, 2, 3, 4, 5, 6, 7, and 8 fold
woomy on a vroomy

Moosey
Posts: 4027
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board. Or [click to not expand]
Contact:

### Re: Reflectorless Rotating Oscillators (RRO)

googoIpIex wrote:A period 840 RRO could be 1, 2, 3, 4, 5, 6, 7, and 8 fold
Unless it has a really tight orbit.
EDIT:
vvv oh
Last edited by Moosey on March 22nd, 2019, 11:00 am, edited 1 time in total.
My CA rules can be found here

Bill Watterson once wrote: "How do soldiers killing each other solve the world's problems?"
Nanho walåt derwo esaato?

googoIpIex
Posts: 269
Joined: February 28th, 2019, 4:49 pm
Location: Sqrt(-1)

### Re: Reflectorless Rotating Oscillators (RRO)

Moosey wrote:
googoIpIex wrote:A period 840 RRO could be 1, 2, 3, 4, 5, 6, 7, and 8 fold
Unless it has a really tight orbit.
I was just noting that it would bethe smallest possible period to be that fold.
woomy on a vroomy

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

### Re: Reflectorless Rotating Oscillators (RRO)

Moosey wrote:
googoIpIex wrote:A period 840 RRO could be 1, 2, 3, 4, 5, 6, 7, and 8 fold
Unless it has a really tight orbit.
Yes, but finding a p840 RRO is more tricky than it looks like, and it is the smallest possible period, for 1/2/.../7 'only' 420 we be required, in a standard design one 1 quarter would have a period of 105 which is quite high.

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

### Re: Reflectorless Rotating Oscillators (RRO)

Moosey wrote: The rule is explosive, however.

Code: Select all

``````x = 18, y = 13, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
2o\$o16bo\$2o3\$bo\$b2o5bo\$bo3\$2o\$o16bo\$2o!
``````
Yes,adding B5q makes it more stable

Code: Select all

``````x = 18, y = 13, rule = B2-an3aj4ar5aciq8/S01c2-en3ejkn4j5aqry6k7e
2o\$o16bo\$2o3\$bo\$b2o5bo\$bo3\$2o\$o16bo\$2o!
``````
still occasionally something like this might happen:

Code: Select all

``````x = 498, y = 1, rule = B2-an3aj4ar5aciq8/S01c2-en3ejkn4j5aqry6k7e
2o3b4o2bo2bo3bobo5bob5o3bo2b2o3b4ob3obobo3b2ob3o2bo3bo2bo5b2o3bobo5b2o
2b2o2b2obo3bo3bobo3bob2o3bo3b2obo3bo4b2ob3o2b2ob3obob2ob2o4bo2b3o2b2o
2b3obob2o2bobob2o3b3ob2o5b3obobo2bobo3bobo2bo4bo5b4ob3obob2o2b2o8bobo
2bob2o4b3ob3obo2bob3ob3o2b4ob4o3bob2o2bob2o4b5o6bo2b5ob2ob3ob2ob4o2bob
5o2bo6bo2b3o2b6o3bo2b2o3bo4b2ob4obo2b5ob3o2bobo2bob2o2bo4bob4ob3o2bobo
b2o2bob2obo3bo3b4o3bo6b2ob2o!
``````

Macbi
Posts: 782
Joined: March 29th, 2009, 4:58 am

### Re: Reflectorless Rotating Oscillators (RRO)

Does anyone in this thread know of an RRO that could be simulated by metacells in order to produce an RRO in Life, like I described in this post?

dvgrn
Moderator
Posts: 7582
Joined: May 17th, 2009, 11:00 pm
Contact:

### Re: Reflectorless Rotating Oscillators (RRO)

Macbi wrote:Does anyone in this thread know of an RRO that could be simulated by metacells in order to produce an RRO in Life, like I described in this post?
A single metacell has to circulate? But you'll have pairs or quadruplets of metacells circulating in separate loops to make the RRO?

It doesn't seem as if the multiple RRO loops really need to overlap. You still get the same effect of a rotated copy of the original pattern when the loops are completely separate from each other:

Code: Select all

``````x = 606, y = 538, rule = LifeHistory
10A4.D116.10A4.D\$A8.A3.2D116.A8.A3.2D\$A8.A2.3D116.A3.2A3.A2.3D233.10A
4.D71.10A35.10A4.D71.10A\$A8.A.4D116.A4.A3.A.4D233.A8.A3.2D71.A8.A35.A
8.A3.2D71.A8.A\$A.6A.A76D45.A4.A3.A76D162.A8.A2.3D71.A8.A35.A3.2A3.A2.
3D71.A2.A.A3.A\$A3.A4.A76D45.A4.A3.A76D162.A8.A.4D71.A2.A.2A2.A35.A4.A
3.A.4D71.A2.A.A3.A\$A.3A4.A.4D116.A4.A3.A.4D233.A.6A.A76DA.A.A2.A.A35.
A4.A3.A76DA2.3A3.A\$A8.A2.3D116.A3.3A2.A2.3D233.A3.A4.A76DA.A4.A.A35.A
4.A3.A76DA4.A3.A\$A8.A3.2D116.A8.A3.2D233.A.3A4.A.4D71.A2.A2.A2.A35.A
4.A3.A.4D71.A4.A3.A\$10A4.D116.10A4.D233.A8.A2.3D71.A8.A35.A3.3A2.A2.
3D71.A4.A3.A\$4.2D84.2D43.2D84.2D156.A8.A3.2D71.A8.A35.A8.A3.2D71.A8.A
\$4.2D83.4D42.2D83.4D155.10A4.D71.10A35.10A4.D71.10A\$4.2D82.6D41.2D82.
6D158.2D84.2D43.2D84.2D\$4.2D81.8D40.2D81.8D157.2D83.4D42.2D83.4D\$4.2D
80.10D39.2D80.10D156.2D82.6D41.2D82.6D\$4.2D84.2D43.2D84.2D160.2D81.8D
40.2D81.8D\$4.2D84.2D43.2D84.2D160.2D80.10D39.2D80.10D\$4.2D84.2D43.2D
84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$
4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.
2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D
84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$
4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.
2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D
84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$
4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.
2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D
84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$
4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.
2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D
84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$
4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.
2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D
84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$
4.2D84.2D43.2D84.2D160.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D160.2D84.
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2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$
4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D
43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.
2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D
84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.
2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$
4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D
43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.
2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D
84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.
2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$
4.2D84.2D43.2D84.2D\$4.2D84.2D43.2D84.2D\$10D80.2D39.10D80.2D\$.8D81.2D
40.8D81.2D\$2.6D82.2D41.6D82.2D\$3.4D83.2D42.4D83.2D\$4.2D84.2D43.2D84.
2D\$10A71.D49.10A71.D\$A8.A71.2D48.A8.A71.2D\$A3.A4.A71.3D47.A8.A71.3D\$A
3.A4.A71.4D46.A2.A2.A2.A71.4D\$A3.A4.A76D45.A.A4.A.A76D\$A3.3A2.A76D45.
A.A2.A.A.A76D\$A3.A.A2.A71.4D46.A2.2A.A2.A71.4D\$A3.A.A2.A71.3D47.A8.A
71.3D\$A8.A71.2D48.A8.A71.2D\$10A71.D49.10A71.D!``````
Hope I got the diagram right -- it's a little confusing... After a LifeWiki edit I made a while back, calcyman worked out this same method and summarized it in an email:
In November 2018, calcyman wrote:A single copy of the oscillator will look like this when zoomed out:

Code: Select all

``````x = 44, y = 47, rule = B2-an3-eiky4aiqw5ijnr6ak/S012ik3-acir4kqw5acq6ack7c8
o39bo\$b3o37b3o\$b2o38b2o\$bo39bo2\$bobo37bobo\$bobo37bobo34\$o39bo\$b3o37b3o
\$b2o38b2o\$bo39bo2\$bobo37bobo\$bobo37bobo!``````
and when you zoom in, you see that the four connected components each have their metacells pointing in different cardinal directions.

This is just as loopable as the original RRO, and has mod = period/4.

If you don't like the fact that each copy of the oscillator is disconnected, then you can fudge it by having a (non-meta!) glider circulating between the copies. Specifically, as the metacell self-destructs, you can take advantage of a diagonal domino to reflect a glider by 90 degrees:

Code: Select all

``````x = 105, y = 121, rule = LifeHistory
.A\$.BA\$3A50\$58.5B\$56.9B\$56.10B\$56.10B\$56.10B\$55.12B\$54.B2A11B\$52.2BAB
A12B\$52.2B2A3B2A9B\$52.6BA2BA9B\$52.7BA2BA9B\$51.9B2A11B\$51.23B\$52.16B.
6B\$51.14B7.4B\$51.10B.4B7.4B\$51.10B2.4B7.4B\$51.5B.5B2.4B7.4B\$52.3B4.4B
2.4B7.4B\$60.4B2.4B7.4B\$61.4B2.4B7.4B\$62.4B2.4B7.4B\$63.4B2.4B7.4B\$64.
4B2.4B7.4B\$65.4B.5B7.4B\$66.5B2A3B7.4B\$67.3BABA4B7.4B\$67.4BA6B7.4B\$67.
12B7.4B\$67.13B7.4B\$68.13B7.4B\$69.6B2A.4B7.4B\$69.6BABA.4B7.4B\$68.5B.2B
AB2.4B7.4B\$67.6B2.4B2.4B7.4B\$66.4B6.4B2.4B7.4B\$65.4B8.4B2.4B7.4B\$64.
4B10.4B2.4B7.4B\$63.4B12.4B2.4B7.4B\$62.4B14.4B2.4B7.4B\$61.4B16.4B2.4B
7.4B\$60.4B18.4B2.4B7.4B\$59.4B20.4B2.4B7.4B\$58.4B22.4B2.4B7.4B\$57.4B\$
56.4B\$55.4B\$54.4B\$53.4B\$52.4B\$51.4B\$50.3AB\$49.3BA\$48.3BA\$47.4B\$46.4B\$
45.4B\$44.4B\$43.4B\$42.4B\$41.4B\$40.4B\$39.4B\$38.4B\$37.4B\$36.4B\$36.3B\$36.
2B\$36.B!``````
These meta-RROs still aren't _quite_ the same as regular RROs, since the circulation is happening in multiple separate loops instead of all in the same loop; there doesn't seem to be any way around that.

With the four loops completely separated as shown above, it should be easy to program a single eight-state 0E0P metacell to travel in an eight-step square, or even just to travel in the tightest possible square using only four states. Is that what you're looking for, or am I missing the point of the question?

77topaz
Posts: 1497
Joined: January 12th, 2018, 9:19 pm

### Re: Reflectorless Rotating Oscillators (RRO)

2718281828 wrote:
Moosey wrote: The rule is explosive, however.

Code: Select all

``````x = 18, y = 13, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e
2o\$o16bo\$2o3\$bo\$b2o5bo\$bo3\$2o\$o16bo\$2o!
``````
Yes,adding B5q makes it more stable

Code: Select all

``````x = 18, y = 13, rule = B2-an3aj4ar5aciq8/S01c2-en3ejkn4j5aqry6k7e
2o\$o16bo\$2o3\$bo\$b2o5bo\$bo3\$2o\$o16bo\$2o!
``````
still occasionally something like this might happen:

Code: Select all

``````x = 498, y = 1, rule = B2-an3aj4ar5aciq8/S01c2-en3ejkn4j5aqry6k7e
2o3b4o2bo2bo3bobo5bob5o3bo2b2o3b4ob3obobo3b2ob3o2bo3bo2bo5b2o3bobo5b2o
2b2o2b2obo3bo3bobo3bob2o3bo3b2obo3bo4b2ob3o2b2ob3obob2ob2o4bo2b3o2b2o
2b3obob2o2bobob2o3b3ob2o5b3obobo2bobo3bobo2bo4bo5b4ob3obob2o2b2o8bobo
2bob2o4b3ob3obo2bob3ob3o2b4ob4o3bob2o2bob2o4b5o6bo2b5ob2ob3ob2ob4o2bob
5o2bo6bo2b3o2b6o3bo2b2o3bo4b2ob4obo2b5ob3o2bobo2bob2o2bo4bob4ob3o2bobo
b2o2bob2obo3bo3b4o3bo6b2ob2o!
``````
These rules are not explosive in the typical sense, but rather are part of a class of rules which can explode but the pattern acquires odd symmetry, with the explosion being caused by continuous activity along the line of symmetry (I suppose there could be rules where this happens with even symmetry, but I've never seen any); these rules are usually apgsearchable as usual for C1. Wild Seas is another example of a rule with such behaviour.

AlephAlpha
Posts: 48
Joined: October 6th, 2017, 1:50 am

### Re: Reflectorless Rotating Oscillators (RRO)

Code: Select all

``````x = 13, y = 13, rule = B2ce3a4ajnr5ry6ci/S2aik3ejnr4ajr5i7e8
11bo\$obo7bo\$b2o7b2o8\$b2o7b2o\$2bo7bobo\$bo!
``````

Code: Select all

``````x = 14, y = 14, rule = B2c3aenq4aijryz5cikqr6ac8/S1e2cik3ejqry4anrwz5a6k
b2o8b2o\$4o8b2o\$o9bob2o\$2b2o6bobo7\$bobo6b2o\$2obo9bo\$2o8b4o\$b2o8b2o!
``````
A hexagonal RRO:

Code: Select all

``````x = 48, y = 9, rule = B2o3o4m5/S2H
bo19bo19bo\$3o17b3o17b3o3\$46bo\$41bo4bo\$41b2o3b2o\$24b3o16bo\$25bo!
``````

Macbi
Posts: 782
Joined: March 29th, 2009, 4:58 am

### Re: Reflectorless Rotating Oscillators (RRO)

dvgrn wrote:It doesn't seem as if the multiple RRO loops really need to overlap. You still get the same effect of a rotated copy of the original pattern when the loops are completely separate from each other
Good point! That certainly makes it easier.
dvgrn wrote:With the four loops completely separated as shown above, it should be easy to program a single eight-state 0E0P metacell to travel in an eight-step square, or even just to travel in the tightest possible square using only four states. Is that what you're looking for, or am I missing the point of the question?
An eight step square like this:

Code: Select all

``````x = 23, y = 23, rule = B/S012345678
7ob7ob7o\$2o3b2ob2o3b2ob2o3b2o\$2ob4ob4ob2ob2obob2o\$2o3b2ob4ob2ob2o3b2o\$
2obob2ob4ob2ob2obob2o\$2o3b2ob4ob2ob2o3b2o\$7ob7ob7o2\$7o9b7o\$2o3b2o9b3ob
3o\$2ob4o9b3ob3o\$2o3b2o9b3ob3o\$4ob2o9b3ob3o\$2o3b2o9b3ob3o\$7o9b7o2\$7ob7o
b7o\$2obob2ob2o3b2ob2o3b2o\$2obob2ob4ob2ob4ob2o\$2o3b2ob2o3b2ob2o3b2o\$4ob
2ob4ob2ob2ob4o\$4ob2ob2o3b2ob2o3b2o\$7ob7ob7o!
``````
won't work. For one thing we only have seven live states, the eighth state is the vacuum. But also I want two copies to be able to orbit each other without interacting. Unfortunately if the two copies come within one cell of each other then when metafied the two copies will interact. So the unoccupied area in the centre of the RRO needs to be larger than a single cell.