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## Oscillator Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

### Re: Oscillator Discussion Thread

Bullet51 wrote:P10:
`x = 23, y = 11, rule = B3/S234b2ob2ob2ob2ob2ob2o\$4b2ob2ob2ob2ob2ob2o2\$2b9ob2ob6o\$bo8bo3bobobo2bo\$ob5o5bo2bo4bobo\$bo8bo3bobobo2bo\$2b9ob2ob6o2\$4b2ob2ob2ob2ob2ob2o\$4b2ob2ob2ob2ob2ob2o!`

People must have found this before.

Wow. I don't recognise this, and it looks like it's conceivably following some one-dimensional cellular automaton. If so, could variants of this oscillator be used to prove omniperiodicity?
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

Posts: 2072
Joined: June 1st, 2009, 4:32 pm

### Re: Oscillator Discussion Thread

P8:
`x = 12, y = 22, rule = B3/S234bo2bo\$2b3o2b3o\$bo8bo\$2bob4obo\$b2obo2bob2o\$o10bo\$b10o2\$3b2o2b2o\$2bo6bo\$bobo4bobo\$bo2bo2bo2bo\$2bo6bo\$3b6o2\$b3o4b3o\$o3bo2bo3bo\$b2obo2bob2o\$2bob4obo\$bo8bo\$2b3o2b3o\$4bo2bo!`
Still drifting.
Bullet51

Posts: 530
Joined: July 21st, 2014, 4:35 am

### Re: Oscillator Discussion Thread

Bullet51 wrote:P8:
`RLE`

On the Discord, Bullet51 also posted this similar p9 oscillator:
`x = 25, y = 16, rule = B3/S235bo13bo\$bo2bobo11bobo2bo\$b4obo2bo5bo2bob4o\$6bobobo3bobobo\$3b3obobobobobobob3o\$2bo2bobobobobobobobo2bo\$bobob3o3bobo3b3obobo\$obobobo4bobo4bobobobo\$obobobo4bobo4bobobobo\$bobob3o3bobo3b3obobo\$2bo2bobobobobobobobo2bo\$3b3obobobobobobob3o\$6bobobo3bobobo\$b4obo2bo5bo2bob4o\$bo2bobo11bobo2bo\$5bo13bo!`

77topaz

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

### Re: Oscillator Discussion Thread

77topaz wrote:
Bullet51 wrote:P8:
`RLE`

On the Discord, Bullet51 also posted this similar p9 oscillator:
`another RLE`

`x = 46, y = 22, rule = B3/S236bo\$6b3o\$9bo\$b2ob4obo\$obobo2bob2o15bob2o11b2obo\$o10bo14b2obo2bo5bo2bob2o\$b10o18bobobo3bobobo\$26b3obobobobobobob3o\$3b2o2b2o16bo4bo3bobo3bo4bo\$2bo6bo16bo3b2o2bobo2b2o3bo\$bobo4bobo16bo4bo5bo4bo\$bo2bo2bo2bo14bobo4bo5bo4bobo\$2bo6bo15b2o3b2o2bobo2b2o3b2o\$3b6o21bo3bobo3bo\$25b4obobobobobobob4o\$b3o4b3o14bo3bobobo3bobobo3bo\$o3bo2bo3bo14bo2bo2bo5bo2bo2bo\$b2obo2bobobo15bobo11bobo\$2bob4ob2o17bo13bo\$2bo\$3b3o\$5bo!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1883
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Oscillator Discussion Thread

77topaz wrote:
Bullet51 wrote:P8:
`RLE`

On the Discord, Bullet51 also posted this similar p9 oscillator:
`another RLE`

`yet another RLE`

Shaved a row off the second, and two cells and two columns off the first:
`x = 45, y = 22, rule = B3/S235b2o\$5bobo\$7bo\$2ob4ob2o\$bobo2bobo16bob2o11b2obo\$o8bo15b2obo2bo5bo2bob2o\$10o18bobobo3bobobo\$25b3obobobobobobob3o\$2b2o2b2o16bo4bo3bobo3bo4bo\$bo6bo15b2o3b2o2bobo2b2o3b2o\$obo4bobo16bo4bo5bo4bo\$o2bo2bo2bo16bo4bo5bo4bo\$bo6bo15b2o3b2o2bobo2b2o3b2o\$2b6o16bo4bo3bobo3bo4bo\$25b3obobobobobobob3o\$3o4b3o18bobobo3bobobo\$o2bo2bo2bo15b2obo2bo5bo2bob2o\$bobo2bobo16bob2o11b2obo\$2ob4ob2o\$2bo\$2bobo\$3b2o!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1785
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Oscillator Discussion Thread

Rephrasing reaction: P5+P3=P10
`x = 20, y = 20, rule = b3s233b2o\$3b2o2\$b4o12b2o\$o4bo11b2o\$b3obo3b2o3bo\$3bob2o3bo3b5o\$5bo2bo10bo\$2o2bo2b3o2b3ob3o\$o2bob2o4bo3b2o\$b3o3b4ob2o\$4bobo3bobob5o\$b2obo2bo3b2o6bo\$bo3bobo2bobob5o\$2b3o3b3ob2o\$4bob2o3bo3b2o\$5bo2b3o2b2obo\$3bobo2bo5bo\$3b2o9bobo\$15b2o!`
Still drifting.
Bullet51

Posts: 530
Joined: July 21st, 2014, 4:35 am

### Re: Oscillator Discussion Thread

Reduced a little (i'm not too good, blinkerspawn do your thing):
`x = 18, y = 17, rule = B3/S232o3b2o\$o4bo\$b3obo3b2o3b2o\$3bob2o3bo3b2o\$5bo2bo\$2o2bo2b3o2b3obo\$o2bob2o4bo3b2o\$b3o3b4ob2o\$4bobo3bobob3o\$b2obo2bo3b2o4bo\$bo3bobo2bobob3o\$2b3o3b3ob2o\$4bob2o3bo3b2o\$5bo2b3o2b2obo\$3bobo2bo5bo\$3b2o9bobo\$15b2o!`
she/they // Please stop using my full name. Refer to me as dani.

"I'm always on duty, even when I'm off duty." -Cody Kolodziejzyk, Ph.D.

danny

Posts: 961
Joined: October 27th, 2017, 3:43 pm
Location: New Jersey, USA

### Re: Oscillator Discussion Thread

danny wrote:Reduced a little (i'm not too good, blinkerspawn do your thing):
`rle`

I actually would've responded pretty much right away but then I had to go somewhere so here's my belated two cent(urie)s:
`x = 17, y = 12, rule = B3/S2311b2obo\$4bobo3bo2b2o\$4b2obo3bo3b2o\$2b2o3b4ob2o2bo\$bo3b2o5bob2o\$ob2o4b2o2bo\$bo3b2o5bob2o\$2b3o3b3ob2o2bo\$4bob2o3bo3b2o\$5bobobobo\$8bobo\$9bo!`

EDIT: Smaller population and shortest side, but longer:
`x = 19, y = 11, rule = B3/S236b2ob2o\$4bo2bobobo\$4b3o4bo\$2b2o3b4ob2o\$bo3b2o5bobo\$ob2o4b2o2bobo\$bo3b2o5bo2b2obo\$2b3o3b3ob2obob2o\$4bob2o3bo2bo\$5bobo2bo2bo\$11b2o!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1883
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Oscillator Discussion Thread

Almost P3:
`o\$boo\$\$obbo\$obbo\$boo`

wwei23

Posts: 936
Joined: May 22nd, 2017, 6:14 pm
Location: The (Life?) Universe

### Re: Oscillator Discussion Thread

chris_c wrote:Here's the p54 along very similar lines:

`x = 136, y = 109, rule = B3/S2389b2o\$56bo14b2o15bobo\$56b3o14bob2o5b2o4bo\$59bo9bo2bo2b2o3bo2bo2b2ob4o\$58b2o9bobo8b2obobobobo2bo\$70bo12bobobobo\$83bobob2o\$64b2o4b2o12bo\$63b3o4b2o\$63bo33b2o\$63b2o23b2o7bo\$88b2o5bobo\$95b2o3\$80bo\$80bobo\$80b2o\$63b2o\$63bobo19b2o5b3o\$65bo20bo5bo\$65b2o8bo7b3o7bo\$73bobo7bo\$49b2o12b4o7b2o\$50b2o11bo2bo\$49bo14bo4b3o7b2obo\$61b3o4bo3bo6b2ob3o\$61bo5bo5bo11bo\$68bo3bo6b2ob3o\$69b3o8bobo\$80bobo\$81bo\$106b2o\$106bobo\$106bo2\$36bo39b2o\$36b2o38bobo\$35bobo31bo8bo2b2o\$68bo8b2obobo\$58b2o7b3obo4bo3bo\$59bo7b2o2b2o2b2obobo2bo\$59bobo5b2o2b2o3bobo2b3o\$60b2o15bob2o\$67b2o6bo2bo2bo\$67bo4bo2b6o50b2o\$67bo4bo46b3o9bo\$7b2o59bobo6b4o3bo34bo13bo\$7bobo67bo3bobobo27b2o5bo8b5o\$9bo70b2obobo28bo13bo\$5b4ob2o2b2o6b2o56bo3bob2o26bobo12b3o\$5bo4bobo2bo7b2o56b2obo2bo27b2o15bo\$3b2o2bo2bob2o8bo57bo2bobobob2o38b4o\$2bo2b2o3bobo67b2obobobo2bo33b2o3bo3b2o\$bob2o2bob2obo68bo6b2o34b2o4b3o2bo\$bo4bo4bo49bo19bob5o44bob2o\$2b3obob3o50b2o10bobo6bo4bo44bo\$4b5o52b3o10b2o7b4o44b2o\$63bo10bo10bo28b2o\$65bo21bo25bobo\$60b2o3bo20b2o27bo7b2o\$55b2o3b2o61bo\$6bo47bobo7bo59b3o\$5bobo2b2o38b2o2bo5bo2bo62bo\$6b2o2bobo37bobob2o5b3o\$2b2o6bo41bo20b2o\$bobo45bo2b5o16bo\$bo5b2o40b3o3bo15bobo\$2o5b2o43b2ob2o14b2o\$51bo5bo29bo\$52b6o30b2o\$87b2o\$48bo3b4o44b3o\$47bobobo3bo46bo5b2o\$47bobob2o48bo7bo\$45b2obo3bo54bo\$45bo2bob3o10b2o40b4o\$23b3o16b2obobobo2bo8b2o41bo4bo\$23bo18bo2bo5b2o8bo5b2o34bob5o\$24bo18b2o4bobo9bo7bo33bobobo2b2o\$45b5obo10bo6bo21b2o9b2o2bob2o2bo\$45bo4bo13b2o3bo21b2o2b2o4bo3b2o2bob2o\$46b4o45bobo3b2obobo2bo\$47bo48bo4bo4bob2o\$45bo56b2obobo\$45b2o46b2o8bobobo\$41bo34b2o16bo8bo2bo\$41b3o32bobo12b3o10b2o\$44bo5bo27bo2b2o8bo\$43b2o4bo9bo17b2obobo\$37b2o10b3o7b3o6bo7bo3bo\$37bobo22bo5bo7b5o2bo\$37bo23b2o6bo6bobo2b3o\$67b2o11bo\$65b4o6bo2bo2bo\$64bo2bo7b6o\$53b2o9bo2bo\$46b2o5bobo9b3o9b2o\$46b2o7bo21b2o\$55b2o2\$42bo23b2o\$41bobob2o17bo2bo\$41bobobobo15bob2o\$38b2obobobobo2bo12bo\$38bo2bo2b2ob4o9b2obo4bo\$40b2o4bo13b2ob2o3b3o10bo\$46bobo22bo10bo\$47b2o21b2o8b3o!`

and a bit of a reduction to the p55:

`x = 171, y = 119, rule = B3/S2368b2o\$68bobo\$70bo4b2o26b2o16bo\$66b4ob2o2bo2bo23bo2bo13b3o\$66bo2bobobobob2o18bo2bo2bobo12bo\$69bobobobo21b5obob2o11b2o\$70b2obobo27bo2bo\$74bo24b4o2bo7bo\$98bo3b2o2bo5bo2bo\$60b2o36bob3o2bo4b2o3bo\$61bo7b2o28bo3bo2bo4bo3bo\$61bobo5b2o29b2obob2o5b3o\$62b2o37bobobo7bo\$100bo2bobo\$100b2o2bo2\$79bo\$77bobo\$65b2o11b2o\$66b2o4b2o\$65bo6bo\$73b3o\$75bo\$101bo24b2o\$100bo24b2o\$100b3o24bo3\$82b2o\$82bobo67b2o\$84bo6bobo58bo\$84b2o6b2o59b3o\$51b3o38bo57b3o3bo\$53bo28b4o63bo2bobo2bo\$52bo29bo2bo62bob3ob2obo\$83bo4b2o8b2obo47bo2bobo2b2o\$80b3o4bo2bo7b2ob3o46b4o2bo2bo\$80bo23bo34b3o5b3o7bobo\$88b3o7b2ob3o35bo7bo3bo4b2obob2o\$99bobo38bo7b3ob2o2bo3bobo\$99bobo48bobo4b3o\$100bo53b2obo2b2o3b2o\$151b6o3bobobob3o\$153b3o6bobo4bo\$98b2o62b2ob2obobo\$38bo58bo2bo59bobo5bobo\$17b2o19b2o57bobo2bo2bo48bo5bo2bob2o2bo\$18bo18bobo56b2obob5o47bobo4bob3o2b2o\$15b3o76bo3b2o53b2o6b2o2b2o\$14bo3b3o76b2o2b3o53b2o7bo\$13bo2bobo2bo55b2o8b3o3bo3bobo2bobo41b2o9b2o7bobo\$13bob2o3bobo55bo9bobo6b2o2b2obo40bobo4b2o13b2o\$12b2o2bobo2bo56bobo6bo2bo3bo3b2o3bo43bo4b2o\$11bo2bob5o58b2o6bo2bo5b2obob2o54bo2bo\$11bobo2bo4b3o63bobo7bobobo54bo2b2o\$8b2obob2ob4o3bo63bo2bo6bobobobo52b2o2b2o\$8bobo5bo3b3o65b2o8bobobobo55bobo\$11b3ob2obobo68bo10bobobo56b2o\$4b2o3b2o2b7o79b2obob2o\$2b3obobobo13b2o71bo3b2o3bo\$bo4bobo14bobo74b2o2b2obo\$ob2obo3bo15bo70bo3bobo2bobo\$obobob2o92b2o2b3o\$bo3b5obo4bo80bo3b2o\$2b2o7bo3bobo81b2obob5o23b2o\$4b2o4b3o3b2o75bo6bobo2bo2bo24b2o\$4bo7b2o66bo10bobo6bo2bo28bo\$2bobo7b2o64b2ob2o9b2o7b2o\$2b2o13b2o\$11bo5b2o52b2o8bobo\$10bob2o56bo2bo5bo3bo\$14bo50bo2bo2bobo5bo2b2o\$10bo3bo50b5obob2o5b3o\$8b2o2b2o14b3o40bo3bo5bo\$8b2o18bo38b2obo4bo\$29bo36bo3b2o3bo16b2o20bo\$66bobobo4bo16bo19b3o\$67bo3bo3bo14bobo18bo\$68b2obob2o15b2o19b2o5b3o\$69bobobo31bobo12bo\$67bobobobo32b2o11bo\$66bobobobo33bo\$66bobobo\$65b2obob2o15bo\$64bo3bo3bo13bobo\$63bobobo4bo28b2o\$43bo19bo3b2o3bo9b2o16bobo5b2o\$42b2o20b2obo4bo8bobo16bo7b2o\$42bobo23bo3bo8bo4b2o11b2o\$62b5obob2o9b3obo2bo\$62bo2bo2bobo13bob2o25bo\$67bo2bo16bo21b2obobo\$68b2o15b2o21bobobobo\$105bo2bobobobob2o\$98bo2b2o2b4ob2o2bo2bo\$97bobo2bo6bo4b2o\$60bo36bobobo5bobo\$60b3o33b2obob2o4b2o\$63bo6bo25bo2bo3bo\$62b2o4b2o8bo18bo2b3obo\$56b2o11b2o7b3o6bo8bo2b2o3bo\$56bobo22bo4bobo8bo2b4o\$56bo23b2o14bo2bo\$87b2o7b2obob5o\$85b2o10bobo2bo2bo\$83b2o12bo2bo\$72b2o9b2obo11b2o\$65b2o5bobo10b2o\$65b2o7bo\$74b2o2\$61bo23b2o\$60bobob2o17bo2bo\$60bobobobo15bob2o\$57b2obobobobo2bo12bo\$57bo2bo2b2ob4o9b2obo4bo\$59b2o4bo13b2ob2o3b3o10bo\$65bobo22bo10bo\$66b2o21b2o8b3o!`

EDIT: Also a p56. Things worked out modulo 8 pretty nicely:

`x = 152, y = 145, rule = B3/S2371b2o\$71b2o\$57bo\$57b3o\$60bo9bob2o\$59b2o9bobo\$71bo\$64bo6b2o\$63bobo5b2o\$63bo2bo4b2o\$64b2o13b2o\$78bobo\$77b3o14bo\$77b2o13b3o\$80b2o9bo\$79b3o9b2o\$58b2o\$57bobo9bobo15bo\$59bo10b2o7b2o6bo\$70bo8b2o4b3o5\$69b2o13bo\$69bobo10b2o\$71bo11b2o\$71b2o2\$69b4o21b3o\$44b2o23bo2bo21bo\$43bobo24bo14b2obo6bo\$45bo21b3o15b2ob3o\$67bo23bo\$85b2ob3o\$86bobo\$72b2o2b3o7bobo\$76b3o8bo\$76b2o\$75b2o\$75bo3\$108b3o\$30b2o76bo\$29bobo44b2o31bo\$31bo32b2o9bobo4b2o\$65bo11bo4b2o\$65bobo14b2o\$66b2o14bo\$69b2o10bobo\$69b2o10bob2o\$71b3o\$2bo65b2o2bo\$b3o49bo2bo2bo8b2ob3o8b2o\$3obo48b7o2bo6b2o11b2o\$bo3bo54b3o7bo2b2o\$2bo3bo48b2obo12b3o48b3o\$3bob3o8b2o36bo3b3o11bo49bo\$4b3o8bobo36bobo4bo61bo\$5bo11bo35b2ob5obo\$9bo44bo5bobo4b2o15b2o\$8bobo43bo2b3o2b2o3b2o15bobo\$9b2o42b2ob2obobo24bo\$5b2o48bobobobo24b2o\$4bobo48bobobob2o80bo2b2o\$4bo5b2o40b2obo4bo81bo3b2o2b2o\$3b2o5b2o40bo2b2obobo81bo7b2o\$54bo5b2o81b4o\$55b4o3bo\$59bob2o\$57b2o3bo5b3o8b2o55b3o\$23b2o33bob2o5bobo9bo56bo\$22b2o34bobo6bo2bo6bobo57bo\$24bo32b2o2bo5bo2bo6b2o63b2o\$60b2o6bobo70bo2bo\$67bo2bo69b2ob2o\$55b2o11b2o72bo\$54b3o11bo77b2o\$53bobo2bo2b2o22bo2bo2bo54bobo\$53b2o2b2o2b2o19bo2b7o56bo\$57b2o23b3o63b2o\$86bob2o40bo\$84b3o3bo39b2o\$83bo4bobo38bobo\$82bob5ob2o\$37b2o26bo16bobo5bo\$36b2o25b2o11b3o2b2o2b3o2bo\$38bo25b2o10b3o4bobob2ob2o\$76b2o5bobobobo\$49bo25bo6b2obobobo\$49b3o21b2o2bo6bo4bob2o\$52bo21bo3bo5bobob2o2bo\$51b2o21bo2bo5b2o5bo\$52b3o20b3o4bo3b4o\$53b3o26b2obo\$52b5o7b2o16bo3b2o28bo\$51b2o3b2o7bo17b2obo29b2o\$50b3o3b3o6bobo16bobo28bobo\$51b2o3b2o8b2o15bo2b2o\$52b5o4b2o20b2o\$53b3o5bobo\$54bo8bo\$63b2o18bo2b2o\$82bo3b2o2b2o\$50bo31bo7b2o\$49bobob2o28b4o\$49bobobobo18b2o\$46b2obobobobo2bo17b2o\$46bo2bo2b2ob4o11b2o5bo\$48b2o4bo14bo7bo24bo\$54bobo12bo6bo25b2o\$55b2o12bo3b2o26bobo8\$80bo8bo\$61b2o15b3o6bobo\$60bo2bo5b2o6bo10b2o\$63bo4b2o7b2o\$63bo6bo\$60b2obo22b2o\$60b2o11b2o11b2o2b2o\$70b2o2bo15bobo\$70bo2bo17bo\$61b2o8b3o20b3o\$61b2o19b2o4b2o3bo\$82bo6bo3bo3bo\$80bobo3b3o4bo2bobo\$80b2o4bo8bobo2bo\$96bo3bo\$100bo\$97b3o\$67b2o\$68bo\$65b3o\$65bo\$70b2o3b2o\$71bo3bo8bo\$68b3o5b3o6bo\$68bo9bo4b3o!`

Also a p57 (from 582*104 (I think) to 166*122):
`x = 166, y = 122, rule = B3/S23117bo6b2o\$106b3o7bob2o3bo2bo\$65b2o37bo11b2ob5ob2o\$64bobo35bobo2bo12bo2bobo\$58b2o4bo55bo2bo2bo\$56bo2bo2b2ob4o32bob4o14bo2bo\$56b2obobo3bo2bo31bo2b3o2b2o3bo12b2o\$59bobob2o37bo10b2o10bo3bo\$59bobob2o34bo2bo10bo12bo3bo\$60bo38bo11b2o14bobo\$100bo10bo\$73b2o22b3o\$64bobo6bo23bo\$64b2o5bobo\$71b2o\$59bo\$57b2o\$58b2o2\$115b2o\$114bobo6b3o\$61b2o45b2o4bo8bo\$62bo34bobo6bo2bo2b2ob4o5bo\$59b3o9b2o24b2o7b2obobo3bo2bo\$59bo11bobo24bo10bobob2o\$71bo37bobob2o\$110bo2\$123b2o\$44bo69bobo6bo\$43bo70b2o5bobo\$43b3o75b2o\$109bo\$61b2o6bo37b2o\$60bobo6b3o36b2o28b2o\$54b2o4bo11bo64b2o\$52bo2bo2b2ob4o6b2o66bo\$52b2obobobobo2bo7b2o9b2o\$55bobobobo11b2o7bo2bo25b2o40b2o\$55bobob2o12bo3bo4bobo8b2o17bo41bo\$56bo16b3ob3o2bobo8bo15b3o9b2o31bobo\$74bo19bo14bo11bobo31b2o\$69b2o3b6o13b2o26bo36b2o\$60b2o7bo6bob2o8b2o2bo65bob2o\$29bobo28b2o5bobo9b2o7bo3bo67bob2o\$29b2o36b2o20b3o66bo\$30bo56bobo4bo68bo\$54bo32b2o4bo65b3obo\$52b2o39b3o45b2o9b2o10b2o\$53b2o49b2o3b2o30bo10bobo8bo\$9bo94bo3bo2bo31bo8bo\$9b3o87b2o5bo2b2o2bo9b2o14b5o\$12bo44b2o40bo2b4ob2o2b3o10bo13bo19b2o\$11b2o45bo7b2o32b2o4bo2bo14bobo12b3o17b2o\$55b3o8bobo6bo26b3o3bob2o13b2o3bo11bo17bo\$55bo10bo8b3o24bob3obobobo16bo2bo6b4o\$3b2o73bo24bo5b2obo16bo2bo6bo3b2o\$3bo73b2o25bob2obo2b2o16bobo7b3o2bo17b2o\$2obo11bo82bo8b2o2bo30bob2o17bobo\$o2b3o4b2o3bobo79bobo2b3o2bo3bo30bo22bo\$b2o3bo3b2o3b2o79bobo2bobo4b3o30b2o5b2o14bo\$3b4o32bo39bobo14bobob2o2bob2obo37bobo11bo\$3bo15b2o17bo40b2o13b2o3bo3bobo3bo39bo11bob2o\$4b3o12bobo16b3o39bo12bo2b3o2b2ob2obobo23b2o26bo\$7bo13bo65b2o5bo4b2obob2o7b2o18bo27b4o\$2b5o14b2o57b2o5bobob3o3b2o13bobo19b3o28bo\$2bo77b2o7bobo2b3obo4bo2b3ob3o14b2o7bo21b6obo\$4bo84bobobo8bo4b3o3bo14bo28bob2o2b2o\$3b2o85b2ob2ob2o2b2o2b2o5b2o4b3o7bo30bobo\$76bo21bo3b3ob3obo8bo7b2o2b2o24bo\$75bobob2o9b4o5bo3b3o4bo7bo11bobo24bo\$20bo27bo12b2o12bobobobo7bo3b5obo5b2obo16b4obo26bo\$21b2o16b2o5b3o12bo12b2obobobo2b2o3b2o4b2o2bob2obo3bo16bo2bob2o\$20b2o18bo4bo13bobo13bo2b2ob4obo3bo4bo10bo\$40bobo3bo12b2o14bo4bo5bo3bobo3bo6bobo28bo\$41bobo3bo28b3obo2b3o5bobo3bo36b2o\$42bo3b2o30b2o3bo8bo3b2o35bobo\$31b2o35bo48b2o\$68b3o15b2o30bo20b2o\$71bo13b5o28bobo18bo\$32bobo35b2o13bo4bo15bo12b2o16bobo\$33bo9b3o39b3o2bo14b3o29b2o\$34b2o7bo42bo2b2o13bo2b2o\$32bo2bo8bo3b4o35b2o15b5o14b2o\$32bobo16b2o53b3o14bob2o\$24bob2o5bo13bo2bob2o53b2o17bo\$22b3obo20b2obobo16bobo34bobobo13bobo\$21bo4bobo19bob2o16bo3bo28b2o3bob2o9bobo2b2o\$21b2o3b2obo19b2o17bo4bo33b2o10b2o\$29bo28b2o8bo4bo46bo\$29b2o14b2o11b2o9bo3bo21b2o\$46bo22bo2bo23bo\$43b3o47b3o\$43bo49bo\$67bo3b2o44bo3b2o\$66bobo3bo43bobo3bo\$65bobo3bo6b2o35bobo3bo\$65bo5b2o5b3o34bo4bo\$64b2o5b4ob2obob2o31b2o5b3o\$64bo3b2o4b3o4b3o39bo6b2o\$65b4obo6b2o6bo44b2o\$74bo2b2ob6o\$65b2ob2o2bobo8bo2b2o\$66bobo2b2o3b3o2bo2bo3bo\$65bo3b3obo8bo2b3o\$66b3o4bo4bo3bo4bobo\$69bo4b2obo10b2o\$68bo2b3o2b2ob6o\$69b2o3bo3bobobobo\$71bobob2obo3bo\$71bobo2bo6bobo\$72bobo2b2o5bobo\$73bo5b2ob2ob2o\$79b3o2bo2b2o\$84bo2bo\$77bob5obobo\$77b2o2bobob2o\$75b2o4bo2bo\$74bo2b4ob2o2b3o\$74b2o5bo2b2o2bo\$79bo3bo2bo\$79b2o3b2o!`
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
AbhpzTa

Posts: 472
Joined: April 13th, 2016, 9:40 am
Location: Ishikawa Prefecture, Japan

### Re: Oscillator Discussion Thread

LWSS gun based on three copies of Tanner's p46:

`x = 40, y = 42, rule = B3/S2323b2o\$23bo\$15bob2ob2obo\$15b2obobobo\$21bo13bo\$33b3o\$11b2o19bo\$12bo19b2o\$12bobo\$13b2o\$19b2ob2o7b2o\$6bo11b2o3b2o6b2o\$6b3o10b2ob2o\$9bo10b3o\$8b2o11bo\$2b2o\$3bo\$2bo\$2b2o\$26bo\$2b2o7bobo2bobo6bobo\$2bobo6bo2bo3bo\$3bo5b2o3bobobo\$3o7b3obo\$o6b2o5b2o\$7b2o4b2o10bobo\$7b2o3bo13bo\$7b2obobo\$7b2obobo2\$24b3o8b2o\$10b2o12bobo8b2o\$6b2o2b2o5b2o5bobo\$5bobo8bobo\$5bo10bo19b2o\$4b2o9b2o19bo\$37b3o\$25bo13bo\$19b2obobobo\$19bob2ob2obo\$27bo\$27b2o!`

Nathaniel

Posts: 459
Joined: December 10th, 2008, 3:48 pm
Location: New Brunswick, Canada

### Re: Oscillator Discussion Thread

Nathaniel wrote:LWSS gun based on three copies of Tanner's p46:

`x = 40, y = 42, rule = B3/S2323b2o\$23bo\$15bob2ob2obo\$15b2obobobo\$21bo13bo\$33b3o\$11b2o19bo\$12bo19b2o\$12bobo\$13b2o\$19b2ob2o7b2o\$6bo11b2o3b2o6b2o\$6b3o10b2ob2o\$9bo10b3o\$8b2o11bo\$2b2o\$3bo\$2bo\$2b2o\$26bo\$2b2o7bobo2bobo6bobo\$2bobo6bo2bo3bo\$3bo5b2o3bobobo\$3o7b3obo\$o6b2o5b2o\$7b2o4b2o10bobo\$7b2o3bo13bo\$7b2obobo\$7b2obobo2\$24b3o8b2o\$10b2o12bobo8b2o\$6b2o2b2o5b2o5bobo\$5bobo8bobo\$5bo10bo19b2o\$4b2o9b2o19bo\$37b3o\$25bo13bo\$19b2obobobo\$19bob2ob2obo\$27bo\$27b2o!`

Is this perhaps the first gun in CGOL to directly produce a spaceship other than the glider?
`x = 81, y = 96, rule = LifeHistory58.2A\$58.2A3\$59.2A17.2A\$59.2A17.2A3\$79.2A\$79.2A2\$57.A\$56.A\$56.3A4\$27.A\$27.A.A\$27.2A21\$3.2A\$3.2A2.2A\$7.2A18\$7.2A\$7.2A2.2A\$11.2A11\$2A\$2A2.2A\$4.2A18\$4.2A\$4.2A2.2A\$8.2A!`
Gamedziner

Posts: 775
Joined: May 30th, 2016, 8:47 pm
Location: Milky Way Galaxy: Planet Earth

### Re: Oscillator Discussion Thread

Nathaniel wrote:LWSS gun based on three copies of Tanner's p46: ...

Very nice!
Gamedziner wrote:Is this perhaps the first gun in CGOL to directly produce a spaceship other than the glider?

No. See: http://conwaylife.com/wiki/Gliderless
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

### Re: Oscillator Discussion Thread

mniemiec wrote:
Nathaniel wrote:LWSS gun based on three copies of Tanner's p46: ...

Very nice!

+1
Awesome! Congrats!

All possible Tanner's p46 pair constellations are evaluated?

Posts: 370
Joined: May 7th, 2016, 8:53 am

### Re: Oscillator Discussion Thread

Naszvadi wrote:All possible Tanner's p46 pair constellations are evaluated?

Nah. All 2-Tanner constellations are evaluated, but for 3-Tanner constellations I've just been looking for LWSS and HWSS guns. My search wouldn't catch a MWSS that is fundamentally different than the one already known. And the HWSS gun search is still going (and perhaps unrealistic given how long it took to even find the LWSS gun).

Nathaniel

Posts: 459
Joined: December 10th, 2008, 3:48 pm
Location: New Brunswick, Canada

### Re: Oscillator Discussion Thread

Nathaniel wrote:LWSS gun based on three copies of Tanner's p46

Very cool! Here is a cute stator reduction:
`x = 40, y = 42, rule = B3/S2323b2o\$23bo\$17b2ob2obo\$15bo2bobobo\$15b2o4bo13bo\$33b3o\$32bo\$32b2o2\$12b2o\$11bobo5b2ob2o7b2o\$10bo7b2o3b2o6b2o\$9bo9b2ob2o\$9b2o9b3o\$21bo\$3b2o\$4bo\$2bo\$2b2o2\$2b2o7bobo2bobo11bo2bo\$2bobo6bo2bo3bo15bo\$3bo5b2o3bobobo11bo3bo\$3o7b3obo16b4o\$o6b2o5b2o\$7b2o4b2o\$7b2o3bo\$7b2obobo\$7b2obobo2\$24b3o8b2o\$10b2o12bobo8b2o\$6b2o2b2o5b2o5bobo\$5bobo8bobo\$5bo10bo19b2o\$4b2o9b2o19bo\$37b3o\$19b2o4bo13bo\$19bo2bobobo\$21b2ob2obo\$27bo\$27b2o!`
-Matthias Merzenich
Sokwe
Moderator

Posts: 1479
Joined: July 9th, 2009, 2:44 pm

### Re: Oscillator Discussion Thread

Finally!
`x = 93, y = 93, rule = B3/S2316b2o57b2o\$15bo2bo55bo2bo\$15bob2o55b2obo\$14b2o61b2o\$13bo3b2o55b2o3bo\$8bo5b4obo53bob4o5bo\$7bobo3bo6bo51bo6bo3bobo\$6bobo5b7o51b7o5bobo\$5bobo6bo2bo3b2o47b2o3bo2bo6bobo\$6bo7bo5bo2bo45bo2bo5bo7bo\$14b3obo2bobo45bobo2bob3o\$14b3ob2obob2o43b2obob2ob3o\$15bobo3bobo45bobo3bobo\$4bobo11bo2bobo2b2o37b2o2bobo2bo11bobo\$3bobob5o7bo3bobo2bo35bo2bobo3bo7b5obobo\$b3obobo2b3o10bob2obo35bob2obo10b3o2bobob3o\$o4bobo2b2o9bo3bo2b2o33b2o2bo3bo9b2o2bobo4bo\$obob2ob2o3bo8b4o2bo2bo6b2o15b2o6bo2bo2b4o8bo3b2ob2obobo\$b2obo2bo2b2obo8bo5b2o2bo3bo2bob2o7b2obo2bo3bo2b2o5bo8bob2o2bo2bob2o\$5bobo3bo2bo7bo2b3o2b3o2bob2o3b3o3b3o3b2obo2b3o2b3o2bo7bo2bo3bobo\$6b2obo13bo3bobo5bo3b2o4bobo4b2o3bo5bobo3bo13bob2o\$8bob4o2b2o6b2o5b4obobo2b4o3b4o2bobob4o5b2o6b2o2b4obo\$8bo8b3o6bo3bo5bobobo2bo5bo2bobobo5bo3bo6b3o8bo\$9b7obo2bo9b4o2bo6bo5bo6bo2b4o9bo2bob7o\$11bo5bo3bo8bo5b2obo2b2o5b2o2bob2o5bo8bo3bo5bo\$14b3o2bobo14bo2bo4bo3bo4bo2bo14bobo2b3o\$13bobo3bo2bo11bobobob4obobob4obobobo11bo2bo3bobo\$13bo3bob2o12bob2obo5bo3bo5bob2obo12b2obo3bo\$14b3obo14bo5b5o5b5o5bo14bob3o\$16bobobo11b2o7bo9bo7b2o11bobobo\$17bobo2b3o43b3o2bobo\$19bobobo45bobobo\$18b2obobo5bo33bo5bobob2o\$21bobo3b3o33b3o3bobo\$21bo4bo39bo4bo\$19b2o6bo37bo6b2o\$18bo2b7o37b7o2bo\$17bobo4bo43bo4bobo\$17bobob2o3b2o37b2o3b2obobo\$18bobo3b2o2bo35bo2b2o3bobo\$20bobo3bobo35bobo3bobo\$18bo2bo4bob2o33b2obo4bo2bo\$18b2obo2bobobo35bobobo2bob2o\$19bob4obobo35bobob4obo\$19bobo3bobo37bobo3bobo\$20bo5bo39bo5bo2\$20bo5bo39bo5bo\$19bobo3bobo37bobo3bobo\$19bob4obobo35bobob4obo\$18b2obo2bobobo35bobobo2bob2o\$18bo2bo4bob2o33b2obo4bo2bo\$20bobo3bobo35bobo3bobo\$18bobo3b2o2bo35bo2b2o3bobo\$17bobob2o3b2o37b2o3b2obobo\$17bobo4bo43bo4bobo\$18bo2b7o37b7o2bo\$19b2o6bo37bo6b2o\$21bo4bo39bo4bo\$21bobo3b3o33b3o3bobo\$18b2obobo5bo33bo5bobob2o\$19bobobo45bobobo\$17bobo2b3o43b3o2bobo\$16bobobo11b2o7bo9bo7b2o11bobobo\$14b3obo14bo5b5o5b5o5bo14bob3o\$13bo3bob2o12bob2obo5bo3bo5bob2obo12b2obo3bo\$13bobo3bo2bo11bobobob4obobob4obobobo11bo2bo3bobo\$14b3o2bobo14bo2bo4bo3bo4bo2bo14bobo2b3o\$11bo5bo3bo8bo5b2obo2b2o5b2o2bob2o5bo8bo3bo5bo\$9b7obo2bo9b4o2bo6bo5bo6bo2b4o9bo2bob7o\$8bo8b3o6bo3bo5bobobo2bo5bo2bobobo5bo3bo6b3o8bo\$8bob4o2b2o6b2o5b4obobo2b4o3b4o2bobob4o5b2o6b2o2b4obo\$6b2obo13bo3bobo5bo3b2o4bobo4b2o3bo5bobo3bo13bob2o\$5bobo3bo2bo7bo2b3o2b3o2bob2o3b3o3b3o3b2obo2b3o2b3o2bo7bo2bo3bobo\$b2obo2bo2b2obo8bo5b2o2bo3bo2bob2o7b2obo2bo3bo2b2o5bo8bob2o2bo2bob2o\$obob2ob2o3bo8b4o2bo2bo6b2o15b2o6bo2bo2b4o8bo3b2ob2obobo\$o4bobo2b2o9bo3bo2b2o33b2o2bo3bo9b2o2bobo4bo\$b3obobo2b3o10bob2obo35bob2obo10b3o2bobob3o\$3bobob5o7bo3bobo2bo35bo2bobo3bo7b5obobo\$4bobo11bo2bobo2b2o37b2o2bobo2bo11bobo\$15bobo3bobo45bobo3bobo\$14b3ob2obob2o43b2obob2ob3o\$14b3obo2bobo45bobo2bob3o\$6bo7bo5bo2bo45bo2bo5bo7bo\$5bobo6bo2bo3b2o47b2o3bo2bo6bobo\$6bobo5b7o51b7o5bobo\$7bobo3bo6bo51bo6bo3bobo\$8bo5b4obo53bob4o5bo\$13bo3b2o55b2o3bo\$14b2o61b2o\$15bob2o55b2obo\$15bo2bo55bo2bo\$16b2o57b2o!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1785
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Oscillator Discussion Thread

I assume your goal was to find the smallest possible stabilisation for that p14 long barge-hassling reaction?

77topaz

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

### Re: Oscillator Discussion Thread

77topaz wrote:I assume your goal was to find the smallest possible stabilisation for that p14 long barge-hassling reaction?

More like any stabilization at all for that reaction, which I had actually found quite a while ago. (Said reaction can actually be of any even period > 13; it serves as a period doubler for whatever sparkers are driving it.)

The search for the sparker was actually quite annoying, as probably over a dozen times during the search, I had found a partial stabilization that required changing two or three cells to drive the rest of the oscillator, only to not find anything to drive those two or three cells. This was despite the fact that the search covered both P7 (the minimum allowable period for the reaction, and, as if to troll me, both a prime period and the minimum period not to feature a sparker with a small-enough footprint) and P8 (in the hopes of reducing it to P4, which would have been stabilized much more easily), and I even had a bit of P9 in there (in the hopes of reducing it to P3). At one point, I was even thinking about doing a drifter search, as demonstrated somewhat by the following P8 partial:
`x = 12, y = 17, rule = B3/S237b2o\$2b2o2bobo\$bobo2bobob2o\$bobob2obo2bo\$2obo2bobo2bo\$o2bo2bo2bobo\$b2o3bo4bo\$2bo\$2bob2ob2obo\$b3o3b2o\$o5bo2b3o\$b2obo2b2o\$2bob2obo3bo\$2bo2bo2b4o\$3bobo\$4bo3b2o\$8b2o!`

Speaking of smaller stabilizations, this chops off half of this new sparker:
`x = 38, y = 30, rule = B3/S2319b2o7bo\$20bo5b5o3b2o\$20bob2obo5bo2bo\$21bobobob4obobo\$23bo2bo4bo2b2o\$17bo5b2obo2b2o3bo2bo\$17b4o2bo6bo5b2o\$13bo3bo5bobobo2bo\$11b2o5b4obobo2b4o\$10bo3bobo5bo3b2o4bo\$9bo2b3o2b3o2bob2o3b3o\$9bo5b2o2bo3bo2bob2o\$8b4o2bo2bo6b2o\$8bo3bo2b2o\$10bob2obo\$6bo3bobo2bo\$5bo2bobo2b2o\$2bobo3bobo\$b3ob2obob2o\$b3obo2bobo\$bo5bo2bo\$bo2bo3b2o\$b7o\$o6bo\$b4obo\$o3b2o\$b2o\$2bob2o\$2bo2bo\$3b2o!`
I Like My Heisenburps! (and others)

Extrementhusiast

Posts: 1785
Joined: June 16th, 2009, 11:24 pm
Location: USA

### Re: Oscillator Discussion Thread

I was only able to shave off a single cell per sparker:
`x = 51, y = 51, rule = B3/S2323b2o\$23bo\$25bo\$24b4o\$28bo\$20bo5bo2bo\$19bobo3bob2o\$19bob4obo\$18b2obo2bobo\$18bo2bo4bob2o\$20bobo3bobo\$18bobo3b2o2bo\$17bobob2o3b2o\$17bobo4bo\$18bo2b7o\$19b2o6bo\$21bo4bo\$21bobo3b3o\$18b2obobo5bo\$19bobobo\$17bobo2b3o\$16bobobo11b2o7bo3bo\$14b3obo14bo5b3o2bobo\$13bo3bob2o12bob2obo5bo2bo\$13bobo3bo2bo11bobobob4obobo\$14b3o2bobo14bo2bo4bo2b2o\$11bo5bo3bo8bo5b2obo2b2o3bo2bo\$9b7obo2bo9b4o2bo6bo5b2o\$8bo8b3o6bo3bo5bobobo2bo\$8bob4o2b2o6b2o5b4obobo2b4o\$6b2obo13bo3bobo5bo3b2o4bo\$5bobo3bo2bo7bo2b3o2b3o2bob2o3b3o\$b2obo2bo2b2obo8bo5b2o2bo3bo2bob2o\$obob2ob2o3bo8b4o2bo2bo6b2o\$o4bobo2b2o9bo3bo2b2o\$b3obobo2b3o10bob2obo\$3bobob5o7bo3bobo2bo\$4bobo11bo2bobo2b2o\$15bobo3bobo\$14b3ob2obob2o\$14b3obo2bobo\$6bo7bo5bo2bo\$5bobo6bo2bo3b2o\$6bobo5b7o\$7bobo3bo6bo\$8bo5b4obo\$13bo3b2o\$14b2o\$15bob2o\$15bo2bo\$16b2o!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1883
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Oscillator Discussion Thread

This is really difficult to stabilize:
`x = 9, y = 12, rule = B3/S232o\$o2bob2obo\$b3obob2o2\$3b2o\$3bobo\$3bobo\$3b2o2\$b3obob2o\$o2bob2obo\$2o!`

EDIT: This may be of some use:
`x = 27, y = 27, rule = B3/S234bo2\$3b2o\$bo2bo\$b3o3\$bo\$o2bobo\$3o2b2o\$6b2o4b2o\$5b2o5b2o2\$15b2o\$15b2o5\$5b2o9bo\$5bobo7b3o\$6b2o7bob2o\$23b2obo\$18bo3bobo\$17bo4bo\$17bobo2b2o\$17b2o!`
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: 1219
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Oscillator Discussion Thread

Hdjensofjfnen wrote:This is really difficult to stabilize:
`x = 9, y = 12, rule = B3/S232o\$o2bob2obo\$b3obob2o2\$3b2o\$3bobo\$3bobo\$3b2o2\$b3obob2o\$o2bob2obo\$2o!`

`x = 6, y = 14, rule = B3/S232b2o\$2bo\$4bo\$5o\$o\$3b2o\$3bobo\$3bobo\$3b2o\$o\$5o\$4bo\$2bo\$2b2o!`
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

Posts: 1883
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Oscillator Discussion Thread

`x = 6, y = 14, rule = B3/S232b2o\$2bo\$4bo\$5o\$o\$3b2o\$3bobo\$3bobo\$3b2o\$o\$5o\$4bo\$2bo\$2b2o!`

Thanks. That component is really handy, isn't it?
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: 1219
Joined: March 15th, 2016, 6:41 pm
Location: r cis θ

### Re: Oscillator Discussion Thread

Well, found some intriguing (but pointless) interaction:

`x = 16, y = 19, rule = LifeHistory12.2A\$12.A\$14.A\$10.5A\$10.A\$12.B2A\$12.2A.A\$A2BA2B6.2A.A\$4BAB6.B2A\$A3BAB\$B4AB6.B2A\$.8B3.2A.A\$12.2A.A\$12.B2A\$10.A\$10.5A\$14.A\$12.A\$12.2A!`

note that the oscilator changes phase while eating the spaceship
Jormungant

Posts: 100
Joined: May 27th, 2016, 1:01 am

### Re: Oscillator Discussion Thread

Jormungant wrote:Well, found some intriguing (but pointless) interaction: ... note that the oscilator changes phase while eating the spaceship

This also works with a MWSS. If you just want to rephase the candelabras, a blinker works just as well, and it only takes two gliders.
`x = 169, y = 14, rule = B3/S23129bo\$128bo\$67bobo58b3o\$7bobo60bo55bo\$10bo55bo3bo53bobo\$10bo59bo54boo\$7bobbo56bobbo\$8b3o57b3o\$3boo9boo17boo9boo17boo9boo17boo9boo17boo9boo17boo9boo\$3bo11bo17bo11bo17bo11bo17bo11bo17bo11bo17bo11bo\$oobobobbobobboboboo11boobo11boboo11boobobobbobobboboboo11boobo11boboo11boobobobbobobboboboo11boobo11boboo\$obbobobbobobbobobbo11bobbob4ob4obobbo11bobbobobbobobbobobbo11bobbob4ob4obobbo11bobbobobbobobbobobbo11bobbob4ob4obobbo\$bboobobbobobboboo15boobobbobobboboo15boobobbobobboboo15boobobbobobboboo15boobobbobobboboo15boobobbobobboboo\$6boo3boo23boo3boo23boo3boo23boo3boo23boo3boo23boo3boo!`
mniemiec

Posts: 1038
Joined: June 1st, 2013, 12:00 am

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