## Reflectorless Rotating Oscillators (RRO)

For discussion of other cellular automata.

### Re: Reflectorless Rotating Oscillators (RRO)

Would it be possible to make an RRO puffer such that the RROs "interlink" like the following?
`x = 136, y = 20, rule = B2-an3-eiky4aiqw5ijnr6ak/S012ik3-acir4kqw5acq6ack7c8bo15bo15bo15bo15bo15bo15bo15bo15bo\$o15bo15bo15bo15bo15bo15bo15bo15bo2\$o15bo15bo15bo15bo15bo15bo15bo15bo13\$7bo15bo15bo15bo15bo15bo15bo15bo15bo2\$7bo15bo15bo15bo15bo15bo15bo15bo15bo\$6bo15bo15bo15bo15bo15bo15bo15bo15bo!`

Macbi

Posts: 667
Joined: March 29th, 2009, 4:58 am

### Re: Reflectorless Rotating Oscillators (RRO)

What the FLIP?
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$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.
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1093
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Reflectorless Rotating Oscillators (RRO)

Hdjensofjfnen wrote:What the FLIP?
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$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):
`x = 133, y = 109, rule = B3/S2-i3-y4i56b2ob2o\$56b2ob2o2\$56b2ob2o\$56b2ob2o2\$3b2ob2o\$3b2ob2o2\$3b2ob2o\$3b2ob2o33\$61bo\$62bo\$23b2ob2o32b3o\$23b2ob2o\$122b2ob2o\$122b2ob2o2\$122b2ob2o\$3b2o117b2ob2o\$2bob2ob2o\$b2o5b2o59b2ob2o\$3o4bob2o58b2ob2o\$b3o\$2bo4bo61b2ob2o\$4bo11bo52b2ob2o\$4bo2bo9bo\$3bo14bo\$4b2o9bobo\$10bo2b2obo29\$127bo\$128bo\$89b2ob2o32b3o\$89b2ob2o5\$69b2o\$68bob2ob2o\$67b2o5b2o52b2ob2o\$66b3o4bob2o51b2ob2o\$67b3o\$68bo4bo54b2ob2o\$70bo11bo45b2ob2o\$70bo2bo9bo\$69bo14bo\$70b2o9bobo\$76bo2b2obo!`

EDIT:
`x = 112, y = 117, rule = B3/S2-i3-y4i48b2ob2o\$48b2ob2o2\$48b2ob2o\$48b2ob2o39b3o\$92bobo\$92bobo3\$96bo\$88bo6b4o\$81bo4b2o7bo2bo\$79b2o3b3obo9b2o\$80bobob2o11b2o\$80bo15b2o\$82b3o11b2o\$84bo\$82b2o\$82bo9bo18\$76b3o\$76bo\$77bo8\$19bobo\$19bo3bo3bo79b2ob2o\$24bobobo78b2ob2o\$19bo\$19bo10bo76b2ob2o\$20bo4bobo2bo76b2ob2o\$22b2obo2bo\$54b2ob2o\$54b2ob2o36bo\$95bo\$54b2ob2o\$54b2ob2o2\$53b2ob2o\$53b2ob2o\$16bo\$16bo36b2ob2o\$53b2ob2o\$83bo2bob2o\$2ob2o76bo2bobo4bo\$2ob2o76bo10bo\$92bo\$2ob2o78bobobo\$2ob2o79bo3bo3bo\$90bobo8\$34bo\$35bo\$33b3o18\$19bo9bo\$28b2o\$27bo\$14b2o11b3o\$14b2o15bo\$13b2o11b2obobo\$12b2o9bob3o3b2o\$13bo2bo7b2o4bo\$13b4o6bo\$15bo3\$17bobo\$17bobo\$17b3o39b2ob2o\$59b2ob2o2\$59b2ob2o\$59b2ob2o!`

Another close call:
`x = 123, y = 118, rule = B3/S2-i3-y4i59b2ob2o\$59b2ob2o2\$59b2ob2o\$59b2ob2o39b3o\$103bobo\$103bobo3\$107bo\$99bo6b4o\$92bo4b2o7bo2bo\$90b2o3b3obo9b2o\$91bobob2o11b2o\$91bo15b2o\$93b3o11b2o\$95bo\$93b2o\$93bo9bo18\$87b3o\$87bo\$88bo9\$59b2ob2o54b2ob2o\$59b2ob2o54b2ob2o2\$59b2ob2o54b2ob2o\$17b3o39b2ob2o54b2ob2o\$17bobo\$17bobo45b2ob2o\$65b2ob2o36bo\$106bo\$15bo49b2ob2o\$13b4o6bo41b2ob2o\$13bo2bo7b2o4bo\$12b2o9bob3o3b2o\$13b2o11b2obobo\$14b2o15bo\$14b2o11b3o\$27bo\$28b2o64bo2bob2o\$19bo9bo62bo2bobo4bo\$92bo10bo\$103bo\$94bobobo\$95bo3bo3bo\$101bobo13\$33b3o\$35bo\$34bo9\$2ob2o\$2ob2o2\$2ob2o\$2ob2o2\$53b2ob2o\$16bo36b2ob2o\$16bo\$53b2ob2o\$53b2ob2o7\$22b2obo2bo\$20bo4bobo2bo\$19bo10bo\$19bo\$24bobobo\$19bo3bo3bo\$19bobo!`

Oh well
`x = 91, y = 135, rule = B3/S2-i3-y4i2ob2o\$2ob2o2\$2ob2o\$2ob2o39b3o\$44bobo\$44bobo3\$48bo\$40bo6b4o\$33bo4b2o7bo2bo\$31b2o3b3obo9b2o\$32bobob2o11b2o\$32bo15b2o\$34b3o11b2o\$36bo\$34b2o\$34bo9bo18\$28b3o\$28bo\$29bo9\$59b2ob2o\$59b2ob2o2\$59b2ob2o\$59b2ob2o2\$6b2ob2o\$6b2ob2o36bo\$47bo\$6b2ob2o\$6b2ob2o7\$27b2ob2o3bo2bob2o\$27b2ob2obo2bobo4bo\$33bo10bo\$27b2ob2o12bo\$27b2ob2o3bobobo31b3o\$36bo3bo3bo26bobo\$42bobo26bobo3\$75bo\$67bo6b4o\$60bo4b2o7bo2bo\$58b2o3b3obo9b2o\$59bobob2o11b2o\$59bo15b2o\$61b3o11b2o\$63bo\$61b2o\$61bo9bo18\$55b3o\$55bo\$56bo9\$86b2ob2o\$86b2ob2o2\$86b2ob2o\$86b2ob2o2\$33b2ob2o\$33b2ob2o36bo\$74bo\$33b2ob2o\$33b2ob2o7\$62bo2bob2o\$60bo2bobo4bo\$60bo10bo\$71bo\$62bobobo\$63bo3bo3bo\$69bobo!`

`x = 141, y = 158, rule = B3/S2-i3-y4i118b2ob2o\$118b2ob2o2\$118b2ob2o\$118b2ob2o8\$79b4o\$78bo4bo\$78bo4b2o\$78bo5bobo35b3o\$82b2obo2bo35bo\$79b2o5bo35b2o\$80bob6o6b3o24bo5b2o\$79bo14b4o29b2o\$80b3o4bob2o3b2obo34bo4b2o\$77bo3b2o3b2obobo40bo5b2o\$78bobo2b2obo4bo45bo2bo\$85bo5bo46bobo\$84b2o4bo38bobo5bo\$82b3o52b2o\$81b6o51bo\$81bo3bo\$81bo3bo\$82bobo27bo\$83bo26b2o\$111b2o9\$47b2ob2o\$47b2ob2o2\$47b2ob2o\$47b2ob2o8\$8b4o\$7bo4bo111b2ob2o\$7bo4b2o110b2ob2o\$7bo5bobo35b3o\$11b2obo2bo35bo70b2ob2o\$8b2o5bo35b2o71b2ob2o\$9bob6o6b3o24bo5b2o\$8bo14b4o29b2o13b2ob2o\$9b3o4bob2o3b2obo34bo4b2o3b2ob2o\$6bo3b2o3b2obobo40bo5b2o\$7bobo2b2obo4bo45bo2bob2ob2o\$14bo5bo46bobob2ob2o\$13b2o4bo38bobo5bo\$11b3o52b2o\$10b6o51bo\$10bo3bo\$10bo3bo\$11bobo27bo\$12bo26b2o\$40b2o17\$89b2o\$91bo\$86b2obob2o\$87b2obobo2\$53b2ob2o\$53b2ob2o2\$53b2ob2o33b2o\$53b2ob2o30bo2\$2ob2o83bo\$2ob2o50b2ob2o33b2o\$55b2ob2o33b2o\$2ob2o\$2ob2o50b2ob2o\$55b2ob2o36b2o\$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\$91bo2\$49b2ob2o\$49b2ob2o2\$49b2ob2o\$49b2ob2o!`

EDIT:
SOOOOOOO CLOSE!!!!
`x = 113, y = 134, rule = B3/S2-i3-y4i47b2ob2o\$47b2ob2o2\$47b2ob2o\$47b2ob2o8\$12bo\$10b4o\$10bo2b3o\$9b2o3b2o\$10b2o42b2o\$4b3o\$4bo\$4b3o11bo47b2ob2o\$65bo\$70bo\$64bo\$10bobo51bo4bo\$11bo56bo\$11b2o51b2o\$12b2o54bo\$12b2ob2o48bo3bo\$15bobo46bo3bo\$13bobob2o\$11bo53b2o\$12b3o\$12bo\$36bo\$36bobo\$36b2o18\$53b2ob2o\$53b2ob2o2\$53b2ob2o\$53b2ob2o2\$2ob2o\$2ob2o2\$2ob2o\$2ob2o44b2ob2o\$49b2ob2o2\$49b2ob2o\$49b2ob2o39b3o\$93bobo\$93bobo3\$97bo\$89bo6b4o\$82bo4b2o7bo2bo\$80b2o3b3obo9b2o\$81bobob2o11b2o\$81bo15b2o\$83b3o11b2o\$85bo\$83b2o\$83bo9bo18\$77b3o\$77bo\$78bo9\$108b2ob2o\$108b2ob2o2\$108b2ob2o\$108b2ob2o2\$55b2ob2o\$55b2ob2o36bo\$96bo\$55b2ob2o\$55b2ob2o7\$84bo2bob2o\$82bo2bobo4bo\$82bo10bo\$93bo\$84bobobo\$85bo3bo3bo\$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 rules:
They can be found here

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

Moosey

Posts: 1543
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Reflectorless Rotating Oscillators (RRO)

Another much less impressive RRO:
`x = 4, y = 4, rule = B3/S2-i3-r4i2o\$o\$bobo\$2bo!`
Life is hard. Deal with it.
My favorite oscillator of all time:
`x = 7, y = 5, rule = B3/S2-i3-y4i4b3o\$6bo\$o3b3o\$2o\$bo!`

Hdjensofjfnen

Posts: 1093
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Reflectorless Rotating Oscillators (RRO)

FINALLY!!!!!! (p3824 gun)
`x = 147, y = 76, rule = B3/S2-i3-y4i47b2ob2o\$47b2ob2o2\$47b2ob2o\$47b2ob2o7\$129bo\$12bo115bobo\$10b4o71bo43bobo\$10bo2b3o68bo45bo\$9b2o3b2o69bo44bo\$10b2o42b2o31bo40b3o\$4b3o81bo39bo2bo\$4bo81b2o41bobo\$4b3o11bo47b2ob2o14bo4bo37b2obo\$65bo18b3o2bobo34b2o\$70bo16bobo35b2o2b2o\$64bo22b2o3bobo31b3o\$10bobo51bo4bo17bo5bo33b2o4b2o\$11bo56bo65b2o\$11b2o51b2o62b2o\$12b2o54bo63bobo\$12b2ob2o48bo3bo53b2o2bob2obobo\$15bobo46bo3bo53bo6bo2bobo\$13bobob2o103bobobo\$11bo53b2obo5bo46bo6b2obo\$12b3o52bobo3b2o47b3o6b2o\$12bo59bobo51b2obob2o\$36bo33bobo2b3o49bob2o\$36bobo32bo4bo\$36b2o36b2o\$73bo\$74bo\$76bo\$77bo\$76bo13\$53b2ob2o\$53b2ob2o2\$53b2ob2o\$53b2ob2o2\$2ob2o\$2ob2o2\$2ob2o\$2ob2o2\$142b2ob2o\$142b2ob2o2\$142b2ob2o\$142b2ob2o2\$89b2ob2o\$89b2ob2o2\$89b2ob2o\$89b2ob2o!`

p26768:
`x = 326, y = 76, rule = B3/S2-i3-y4i47b2ob2o222b2ob2o\$47b2ob2o222b2ob2o2\$47b2ob2o222b2ob2o\$47b2ob2o222b2ob2o7\$129bo66bo\$12bo115bobo64bobo115bo\$10b4o71bo43bobo62bobo43bo71b4o\$10bo2b3o68bo45bo64bo45bo68b3o2bo\$9b2o3b2o69bo44bo64bo44bo69b2o3b2o\$10b2o42b2o31bo40b3o64b3o40bo31b2o42b2o\$4b3o81bo39bo2bo62bo2bo39bo81b3o\$4bo81b2o41bobo62bobo41b2o81bo\$4b3o11bo47b2ob2o14bo4bo37b2obo62bob2o37bo4bo14b2ob2o47bo11b3o\$65bo18b3o2bobo34b2o70b2o34bobo2b3o18bo\$70bo16bobo35b2o2b2o64b2o2b2o35bobo16bo\$64bo22b2o3bobo31b3o68b3o31bobo3b2o22bo\$10bobo51bo4bo17bo5bo33b2o4b2o56b2o4b2o33bo5bo17bo4bo51bobo\$11bo56bo65b2o54b2o65bo56bo\$11b2o51b2o62b2o66b2o62b2o51b2o\$12b2o54bo63bobo56bobo63bo54b2o\$12b2ob2o48bo3bo53b2o2bob2obobo56bobob2obo2b2o53bo3bo48b2ob2o\$15bobo46bo3bo53bo6bo2bobo56bobo2bo6bo53bo3bo46bobo\$13bobob2o103bobobo72bobobo103b2obobo\$11bo53b2obo5bo46bo6b2obo62bob2o6bo46bo5bob2o53bo\$12b3o52bobo3b2o47b3o6b2o60b2o6b3o47b2o3bobo52b3o\$12bo59bobo51b2obob2o60b2obob2o51bobo59bo\$36bo33bobo2b3o49bob2o64b2obo49b3o2bobo33bo\$36bobo32bo4bo172bo4bo32bobo\$36b2o36b2o174b2o36b2o\$73bo178bo\$74bo176bo\$76bo172bo\$77bo170bo\$76bo172bo13\$53b2ob2o210b2ob2o\$53b2ob2o210b2ob2o2\$53b2ob2o210b2ob2o\$53b2ob2o210b2ob2o2\$2ob2o316b2ob2o\$2ob2o316b2ob2o2\$2ob2o316b2ob2o\$2ob2o316b2ob2o2\$142b2ob2o32b2ob2o\$142b2ob2o32b2ob2o2\$142b2ob2o32b2ob2o\$142b2ob2o32b2ob2o2\$89b2ob2o138b2ob2o\$89b2ob2o138b2ob2o2\$89b2ob2o138b2ob2o\$89b2ob2o138b2ob2o!`
My rules:
They can be found here

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

Moosey

Posts: 1543
Joined: January 27th, 2019, 5:54 pm
Location: A house, or perhaps the OCA board.

### Re: Reflectorless Rotating Oscillators (RRO)

p1912 gun:
`x = 173, y = 129, rule = B3/S2-i3-y4i9\$64b2ob2o\$64b2ob2o2\$64b2ob2o\$64b2ob2o2\$11b2ob2o\$11b2ob2o2\$11b2ob2o\$11b2ob2o12\$37b2o\$38b2o\$37bo17\$65bo\$59b3o3bo\$58bo2bo3bo\$58bo2bo\$61bo2bo23b2ob2o34bo\$64b2o22b2ob2o33b3o\$126bob2o\$88b2ob2o35b2o\$88b2ob2o2\$125bo\$125b2o\$125bobo\$63bob2o59bo2bobo7bo\$63bo2bo57b2o3b2o7b2o\$63b3o58b2o3b2o7bob2o\$125b2ob3o7b5o\$128b3o7b2obo5bo\$17b2ob2o104bo2bobo7bobobo3bobo\$17b2ob2o109b2o5bo4bo3bob2o\$130b3o14b3o\$17b2ob2o112bobo10b2o\$17b2ob2o\$135bo\$140b2o2b3o\$146bo\$116bo18b2o6bob2o\$115b3o17bobo5b2o\$115bobo20bo\$135bobo\$119b2o14b2o\$111b2o7b2o\$110b2o7b2o\$111b2o2\$114bobo5b2obobo\$114b3o8bo2bo\$115bo6b2obob2o\$123bob2o\$122b2obo\$121bo2b2o\$120bo\$120bobo\$120bo2bo\$121bo2bo\$121bo2bo\$122b3o5\$147b2ob2o\$147b2ob2o\$134b2o\$134b2o11b2ob2o\$147b2ob2o2\$94b2ob2o\$94b2ob2o2\$94b2ob2o\$94b2ob2o!`
`x = 11, y = 5, rule = B2ck3-ij5n78/S01e2ei3-k5ai8b2o\$2o3b2o\$bo4bo3bo\$2bo2b2o\$o7bo!`

(Check Gen 2)

toroidalet

Posts: 950
Joined: August 7th, 2016, 1:48 pm
Location: my computer

### Re: Reflectorless Rotating Oscillators (RRO)

A minimal 1/2/4 RRO with small periods 68/34/17:
`x = 47, y = 45, rule = B2ce4a5-eknq/S012ik3ejnr4ijr5j6k7e10\$26b2o\$9bo12bo12bo\$7bobo10bobo4bo5bobo6\$12bobo10bobo5bo\$12bo12bo\$33b2o7\$20bo2\$19bob5o\$22bo2bobo\$21b5o5\$20bo2\$19bob7o3bo\$22bo5bobobo\$21b7o3bo!`

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:
`x = 109, y = 53, rule = B2e3cin4jkwz5kqy6k/S12acn3aejqr4ajkqz5cjry15\$11b2o20b2o4b2o14b2o8bo11b2o20b2o\$12b2o20b2o2b3o15b2o5bo2bo11b2o20b2o\$11b3o19b3o2bobo14b3o6b2o11b3o19b3o3\$99bobo2\$99b2o\$101bo\$101bo\$60b3o15b2o20bo\$61b2o14bo22b2o\$61bo15bobo19b3o\$60b2o16b2o\$78bo\$60bo17b2o\$60b2o15b3o\$16b3o19b3o14bobo9bo4bo\$16b2o20b2o15b3o8bo4bo\$17b2o20b2o14b2o10b2o3bo!`

Edit1:
A lower period 1/2/4-fold (p 64/32/16):
`x = 79, y = 60, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e18\$70bo\$70b2o\$70bo2\$74bo4\$5b2o13b2o4bobo6b2o\$26bo43bo\$4bobo12bobo6bo5bobo33b2o\$70bo\$74bo4\$11bobo12bobo5bo\$36bo\$11b2o13b2o6bobo33bo\$70b2o\$70bo3bo9\$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.

2718281828

Posts: 684
Joined: August 8th, 2017, 5:38 pm

### 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!
muzik

Posts: 3301
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

### Re: Reflectorless Rotating Oscillators (RRO)

toroidalet wrote:p1912 gun:
`x = 173, y = 129, rule = B3/S2-i3-y4i9\$64b2ob2o\$64b2ob2o2\$64b2ob2o\$64b2ob2o2\$11b2ob2o\$11b2ob2o2\$11b2ob2o\$11b2ob2o12\$37b2o\$38b2o\$37bo17\$65bo\$59b3o3bo\$58bo2bo3bo\$58bo2bo\$61bo2bo23b2ob2o34bo\$64b2o22b2ob2o33b3o\$126bob2o\$88b2ob2o35b2o\$88b2ob2o2\$125bo\$125b2o\$125bobo\$63bob2o59bo2bobo7bo\$63bo2bo57b2o3b2o7b2o\$63b3o58b2o3b2o7bob2o\$125b2ob3o7b5o\$128b3o7b2obo5bo\$17b2ob2o104bo2bobo7bobobo3bobo\$17b2ob2o109b2o5bo4bo3bob2o\$130b3o14b3o\$17b2ob2o112bobo10b2o\$17b2ob2o\$135bo\$140b2o2b3o\$146bo\$116bo18b2o6bob2o\$115b3o17bobo5b2o\$115bobo20bo\$135bobo\$119b2o14b2o\$111b2o7b2o\$110b2o7b2o\$111b2o2\$114bobo5b2obobo\$114b3o8bo2bo\$115bo6b2obob2o\$123bob2o\$122b2obo\$121bo2b2o\$120bo\$120bobo\$120bo2bo\$121bo2bo\$121bo2bo\$122b3o5\$147b2ob2o\$147b2ob2o\$134b2o\$134b2o11b2ob2o\$147b2ob2o2\$94b2ob2o\$94b2ob2o2\$94b2ob2o\$94b2ob2o!`

Is this the same?

`x = 153, y = 163, rule = B3/S2-i3-y4i152bo\$150b3o\$149bo\$135b2ob2o9b2o\$135b2ob2o2\$135b2ob2o\$135b2ob2o2\$82b2ob2o\$82b2ob2o2\$82b2ob2o\$82b2ob2o28\$91b3o\$91bobo\$90bo2bo\$89bo2b2o43bo\$93bo44b2o\$91bo4bo40b2o2\$96bo5b2ob2o\$102b2ob2o2\$97bo\$97bo\$95bo3\$82b2o57b2ob2o\$82bo58b2ob2o\$83b2o\$84b5o52b2ob2o\$84bo3bo52b2ob2o\$85b2o2b2o5bo\$86b2o2b2o3bobo\$86bobobo5bo\$87bobo\$88bo6\$90b3o\$83bo5bo3bo\$82bobo4bo3bo\$83bo5b2o2b2o\$34b2ob2o52bobo\$34b2ob2o52b2ob2o\$96bo\$34b2ob2o58bo\$34b2ob2o54bo2b2o\$93bo\$83bo\$83bo\$81bobo2\$83bo\$73b2ob2o\$73b2ob2o\$82b3o\$41b2o44bo\$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:
`#C 2019.03.22 - gun with 4 barrels composed of 2 RROs with symmetric phases:x = 104, y = 137, rule = B3/S2-i3-y4i93b2ob2o\$93b2ob2o2\$93b2ob2o\$93b2ob2o2\$40b2ob2o\$40b2ob2o11b2o\$56b2o\$40b2ob2o\$o39b2ob2o22b3o\$3o63bo2bo\$3bo62bo3bo\$2b2o61b2o2bo\$66bo\$66b2o\$68b3o\$67bo2bo\$67bo2bo\$67b3o\$76bo\$64bo10bobo\$63bobo8b5o\$2o60bo2bo7b2o3b2o\$bo59b2obo7b2o5b2o\$bobo58bo2bo7b2o3b2obo\$2b2o61bo4bo3bo3bob3o\$64b2o3b3o7b2ob2o\$54b2o12b2ob2o10b2o\$53bo2bo10b2o14bobo\$57bo8bobo14b2o\$52bob4o9b2o10b2ob2o\$48b3o17b2ob2o7b3o\$52bo16b3obo3bo3bo\$49bobobo16bob2o3b2o\$44bo6b2ob4o13b2o5b2o\$43bobo6bo4bo14b2o3b2o\$46bobo4bo2bo16b5o\$48b2o4b2o18bobo\$39bo2bo6bo25bo\$39bo2bo15bo\$38bo9b2o7bobo\$38bo3bo4bobo7bobo\$39bo2bo15bo\$40b3o4b2o10b4o\$60bo2bo\$59bo2bo\$59bo2bo\$59bo3b2ob2o\$63bo4bo\$62b4o\$62b2o3bobo\$69bo\$64bo3bo30b2ob2o\$63bo35b2ob2o\$63bo2bo\$64bobo32b2ob2o\$66bob2o29b2ob2o\$65b4o\$65bo\$63b2o16\$39b2o\$38bo\$35b4o\$2ob2o29b2obo\$2ob2o32bobo\$37bo2bo\$2ob2o35bo\$2ob2o30bo3bo\$34bo\$34bobo3b2o\$38b4o\$35bo4bo\$36b2ob2o3bo\$41bo2bo\$41bo2bo\$40bo2bo\$41b4o10b2o4b3o\$45bo15bo2bo\$44bobo7bobo4bo3bo\$44bobo7b2o9bo\$45bo15bo2bo\$28bo25bo6bo2bo\$27bobo18b2o4b2o\$26b5o16bo2bo4bobo\$25b2o3b2o14bo4bo6bobo\$24b2o5b2o13b4ob2o6bo\$25b2o3b2obo16bobobo\$22bo3bo3bob3o16bo\$21b3o7b2ob2o17b3o\$20b2ob2o10b2o9b4obo\$19b2o14bobo8bo\$18bobo14b2o10bo2bo\$19b2o10b2ob2o12b2o\$20b2ob2o7b3o3b2o\$21b3obo3bo3bo4bo61b2o\$22bob2o3b2o7bo2bo58bobo\$23b2o5b2o7bob2o59bo\$24b2o3b2o7bo2bo60b2o\$25b5o8bobo\$26bobo10bo\$27bo\$34b3o\$33bo2bo\$33bo2bo\$33b3o\$36b2o\$37bo\$34bo2b2o61b2o\$33bo3bo62bo\$34bo2bo63b3o\$34b3o22b2ob2o39bo\$59b2ob2o\$46b2o\$46b2o11b2ob2o\$59b2ob2o2\$6b2ob2o\$6b2ob2o2\$6b2ob2o\$6b2ob2o!`
Last edited by Naszvadi on March 22nd, 2019, 1:02 pm, edited 1 time in total.

Posts: 347
Joined: May 7th, 2016, 8:53 am

### 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!
muzik

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Location: Scotland

### 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.

2718281828

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### Re: Reflectorless Rotating Oscillators (RRO)

2718281828 wrote:Edit1:
A lower period 1/2/4-fold (p 64/32/16):
`x = 79, y = 60, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e18\$70bo\$70b2o\$70bo2\$74bo4\$5b2o13b2o4bobo6b2o\$26bo43bo\$4bobo12bobo6bo5bobo33b2o\$70bo\$74bo4\$11bobo12bobo5bo\$36bo\$11b2o13b2o6bobo33bo\$70b2o\$70bo3bo9\$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:
`x = 8, y = 12, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7eo\$2o5bo\$o7\$o\$2o\$o!`

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Reflectorless Rotating Oscillators (RRO)

77topaz wrote:
2718281828 wrote:Edit1:
A lower period 1/2/4-fold (p 64/32/16):
`x = 79, y = 60, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e18\$70bo\$70b2o\$70bo2\$74bo4\$5b2o13b2o4bobo6b2o\$26bo43bo\$4bobo12bobo6bo5bobo33b2o\$70bo\$74bo4\$11bobo12bobo5bo\$36bo\$11b2o13b2o6bobo33bo\$70b2o\$70bo3bo9\$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:
`x = 8, y = 12, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7eo\$2o5bo\$o7\$o\$2o\$o!`

Oh, neat!
`x = 8, y = 9, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7eo\$2o5bo\$o4\$o\$2o5bo\$o!`

I like the Heisenburp reaction in this:
`x = 8, y = 9, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e2o\$o6bo\$2o4\$o\$2o5bo\$o!`

This one’s cool:
`x = 10, y = 9, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7eo\$2o7bo\$o4\$bo\$b2o6bo\$bo!`

The rule is explosive, however.
`x = 18, y = 13, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e2o\$o16bo\$2o3\$bo\$b2o5bo\$bo3\$2o\$o16bo\$2o!`

EDIT:
Wow.
`x = 19, y = 41, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e2o\$o17bo\$2o3\$bo\$b2o5bo\$bo3\$2o\$o17bo\$2o16\$2o\$o\$2o3\$bo\$b2o\$bo3\$2o\$o\$2o!`

`x = 19, y = 13, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7eHistory2A\$A17.C\$2A3\$.A\$.2A5.C\$.A3\$2A\$A17.C\$2A!`

Hey, another ship:
`x = 18, y = 8, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7eo9bo\$2o8b2o5bo\$o9bo3\$bo8bo\$b2o7b2o3bo\$bo8bo!`
My rules:
They can be found here

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

Moosey

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### Re: Reflectorless Rotating Oscillators (RRO)

I think this is the smallest period RRO, 1/2-fold with period 28/14:
`x = 17, y = 22, rule = B2ack3enr4jq5in/S1e2i3ceky4jnt2bo13bo\$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:
`x = 54, y = 11, rule = B2ck3anqr4ikqr5aeiq6aik7/S1e2ai3-aciy4ajkry5n6-ce7c849b5o\$22bo11bo14bobobo\$o9bo9bo2bo8bo2bo14b3o\$3o7b3o8b3o9b3o7b3o4b3o\$bo9bo10bo11bo9bo6bo3\$6bo22bo\$5b3o20b3o\$7bo20bo2bo\$29bo!`
Last edited by 2718281828 on March 22nd, 2019, 10:57 am, edited 1 time in total.

2718281828

Posts: 684
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### Re: Reflectorless Rotating Oscillators (RRO)

Moosey wrote:Wow.
`x = 19, y = 41, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e2o\$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
`x = 30, y = 31, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e19b2o\$19bo9bo\$19b2o5\$12b2o5b2o\$12bo6bo9bo\$12b2o5b2o5\$11bo7b2o\$11b2o6bo9bo\$11bo7b2o5\$10bo8b2o\$10b2o7bo9bo\$10bo8b2o5\$o9bo8b2o\$2o8b2o7bo9bo\$o9bo8b2o!`

Pull back dot 1 cell+spaceship
`x = 23, y = 8, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e2b2o\$2bo19bo\$2b2o3\$2o\$o\$2o!`

Delete operation
`x = 26, y = 4, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e2o15bo\$o16b2o\$2o15bo\$8bo16bo!`

Push dot by 7 cells
`x = 37, y = 16, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e2o\$o\$2o4\$16b2o\$16bo19bo\$16b2o3\$15bo\$15b2o\$4b2o9bo\$4bo\$4b2o!`
If you're the person that uploaded to Sakagolue illegally, please PM me.
`x = 17, y = 10, rule = B3/S23b2ob2obo5b2o\$11b4obo\$2bob3o2bo2b3o\$bo3b2o4b2o\$o2bo2bob2o3b4o\$bob2obo5bo2b2o\$2b2o4bobo2b3o\$bo3b5ob2obobo\$2bo5bob2o\$4bob2o2bobobo!`

(Check gen 2)

Saka

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### 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
googoIpIex

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### 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 rules:
They can be found here

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

Moosey

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### 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
googoIpIex

Posts: 253
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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.

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

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### Re: Reflectorless Rotating Oscillators (RRO)

Moosey wrote:The rule is explosive, however.
`x = 18, y = 13, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e2o\$o16bo\$2o3\$bo\$b2o5bo\$bo3\$2o\$o16bo\$2o!`

Yes,adding B5q makes it more stable
`x = 18, y = 13, rule = B2-an3aj4ar5aciq8/S01c2-en3ejkn4j5aqry6k7e2o\$o16bo\$2o3\$bo\$b2o5bo\$bo3\$2o\$o16bo\$2o!`

still occasionally something like this might happen:
`x = 498, y = 1, rule = B2-an3aj4ar5aciq8/S01c2-en3ejkn4j5aqry6k7e2o3b4o2bo2bo3bobo5bob5o3bo2b2o3b4ob3obobo3b2ob3o2bo3bo2bo5b2o3bobo5b2o2b2o2b2obo3bo3bobo3bob2o3bo3b2obo3bo4b2ob3o2b2ob3obob2ob2o4bo2b3o2b2o2b3obob2o2bobob2o3b3ob2o5b3obobo2bobo3bobo2bo4bo5b4ob3obob2o2b2o8bobo2bob2o4b3ob3obo2bob3ob3o2b4ob4o3bob2o2bob2o4b5o6bo2b5ob2ob3ob2ob4o2bob5o2bo6bo2b3o2b6o3bo2b2o3bo4b2ob4obo2b5ob3o2bobo2bob2o2bo4bob4ob3o2bobob2o2bob2obo3bo3b4o3bo6b2ob2o!`

2718281828

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### 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?

Macbi

Posts: 667
Joined: March 29th, 2009, 4:58 am

### 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:

`x = 606, y = 538, rule = 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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:

`x = 44, y = 47, rule = B2-an3-eiky4aiqw5ijnr6ak/S012ik3-acir4kqw5acq6ack7c8o39bo\$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:

`x = 105, y = 121, rule = LifeHistory.A\$.BA\$3A50\$58.5B\$56.9B\$56.10B\$56.10B\$56.10B\$55.12B\$54.B2A11B\$52.2BABA12B\$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\$52.3B4.4B2.4B7.4B\$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.2BAB2.4B7.4B\$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\$61.4B16.4B2.4B7.4B\$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?

dvgrn
Moderator

Posts: 5634
Joined: May 17th, 2009, 11:00 pm

### Re: Reflectorless Rotating Oscillators (RRO)

2718281828 wrote:
Moosey wrote:The rule is explosive, however.
`x = 18, y = 13, rule = B2-an3aj4ar5aci8/S01c2-en3ejkn4j5aqry6k7e2o\$o16bo\$2o3\$bo\$b2o5bo\$bo3\$2o\$o16bo\$2o!`

Yes,adding B5q makes it more stable
`x = 18, y = 13, rule = B2-an3aj4ar5aciq8/S01c2-en3ejkn4j5aqry6k7e2o\$o16bo\$2o3\$bo\$b2o5bo\$bo3\$2o\$o16bo\$2o!`

still occasionally something like this might happen:
`x = 498, y = 1, rule = B2-an3aj4ar5aciq8/S01c2-en3ejkn4j5aqry6k7e2o3b4o2bo2bo3bobo5bob5o3bo2b2o3b4ob3obobo3b2ob3o2bo3bo2bo5b2o3bobo5b2o2b2o2b2obo3bo3bobo3bob2o3bo3b2obo3bo4b2ob3o2b2ob3obob2ob2o4bo2b3o2b2o2b3obob2o2bobob2o3b3ob2o5b3obobo2bobo3bobo2bo4bo5b4ob3obob2o2b2o8bobo2bob2o4b3ob3obo2bob3ob3o2b4ob4o3bob2o2bob2o4b5o6bo2b5ob2ob3ob2ob4o2bob5o2bo6bo2b3o2b6o3bo2b2o3bo4b2ob4obo2b5ob3o2bobo2bob2o2bo4bob4ob3o2bobob2o2bob2obo3bo3b4o3bo6b2ob2o!`

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.

77topaz

Posts: 1345
Joined: January 12th, 2018, 9:19 pm

### Re: Reflectorless Rotating Oscillators (RRO)

`x = 13, y = 13, rule = B2ce3a4ajnr5ry6ci/S2aik3ejnr4ajr5i7e811bo\$obo7bo\$b2o7b2o8\$b2o7b2o\$2bo7bobo\$bo!`

`x = 14, y = 14, rule = B2c3aenq4aijryz5cikqr6ac8/S1e2cik3ejqry4anrwz5a6kb2o8b2o\$4o8b2o\$o9bob2o\$2b2o6bobo7\$bobo6b2o\$2obo9bo\$2o8b4o\$b2o8b2o!`

A hexagonal RRO:

`x = 48, y = 9, rule = B2o3o4m5/S2Hbo19bo19bo\$3o17b3o17b3o3\$46bo\$41bo4bo\$41b2o3b2o\$24b3o16bo\$25bo!`
AlephAlpha

Posts: 30
Joined: October 6th, 2017, 1:50 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:
`x = 23, y = 23, rule = B/S0123456787ob7ob7o\$2o3b2ob2o3b2ob2o3b2o\$2ob4ob4ob2ob2obob2o\$2o3b2ob4ob2ob2o3b2o\$2obob2ob4ob2ob2obob2o\$2o3b2ob4ob2ob2o3b2o\$7ob7ob7o2\$7o9b7o\$2o3b2o9b3ob3o\$2ob4o9b3ob3o\$2o3b2o9b3ob3o\$4ob2o9b3ob3o\$2o3b2o9b3ob3o\$7o9b7o2\$7ob7ob7o\$2obob2ob2o3b2ob2o3b2o\$2obob2ob4ob2ob4ob2o\$2o3b2ob2o3b2ob2o3b2o\$4ob2ob4ob2ob2ob4o\$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.

Macbi

Posts: 667
Joined: March 29th, 2009, 4:58 am

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