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

77topaz wrote:from testing in Golly I see that the FNGs would also interfere with the converting reaction when that is in process.

Eating the FNG at p52 is very difficult. It seemingly can't be done at p4, and we don't have sufficient sparkers at periods 13, 26, or 54. The large p4 oscillators shuttling a glider are a clever workaround, but their size limits their use.

77topaz wrote:However, now that I think about it, isn't there a complete database of all three-glider collisions? Shouldn't we already know whether or not a 3G->4G reaction exists? (Then again, I suppose this gun wouldn't require it to be a "pure" 3G->4G reaction, just something that converts 3G to 4G.)

I'm definitely not asking for a "pure" 3G->4G that works at p52. I doubt such a thing exists. What I'm looking for is a way to use the apparatus posted earlier to turn 3 gliders into 4. The resulting gun would be similar in structure to the p54 and p55 guns found in jslife.
-Matthias Merzenich
Sokwe
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77topaz wrote:However, now that I think about it, isn't there a complete database of all three-glider collisions? Shouldn't we already know whether or not a 3G->4G reaction exists? (Then again, I suppose this gun wouldn't require it to be a "pure" 3G->4G reaction, just something that converts 3G to 4G.)

It's probably better to advertise it as an almost complete 3G collision database, until proven otherwise, by someone else doing an independent enumeration. But yes, you've answered your own question: the 3G-to-4G can have any kind of assisting mechanism that works at p52 -- e.g., a conduit of some kind using p4 oscillators.

Might even be something that's specific to p52, where three gliders crash into sparks made by a previous collision, and somehow four gliders come out... Seems like a likely mechanism might be something extensible, where active object X is catalyzed to produce a glider plus another active object X, so you can get as many gliders out as you need.

It takes a fairly unusual glider production mechanism to be fast enough that the glider gets out of the way in time for the next X to come along in only 52 ticks, though. Maybe I should be wishing for an X -> MWSS+X instead, given that Sokwe's 135-degree MWSS-to-G is plenty fast enough to work at p52.

dvgrn
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Posts: 5742
Joined: May 17th, 2009, 11:00 pm

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!
Last edited by chris_c on April 3rd, 2018, 11:12 am, edited 1 time in total.
chris_c

Posts: 895
Joined: June 28th, 2014, 7:15 am

These ideas can be used to create a p52 emu (oscillator), but currently we lack an over-unity component:

x = 827, y = 827, rule = 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What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman

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

calcyman wrote:These ideas can be used to create a p52 emu (oscillator), but currently we lack an over-unity component...

What is the shortest repeat time G-to-2G?
I and wildmyron manage the 5S project, which collects all known spaceship speeds in Isotropic Non-totalistic rules.

Things to work on:
- Find a (7,1)c/8 ship in a Non-totalistic rule
- Finish a rule with ships with period >= f_e_0(n) (in progress)
AforAmpere

Posts: 1041
Joined: July 1st, 2016, 3:58 pm

AforAmpere wrote:
calcyman wrote:These ideas can be used to create a p52 emu (oscillator), but currently we lack an over-unity component...

What is the shortest repeat time G-to-2G?

74 ticks, isn't it? We don't have anything direct that skips the Herschel stage, except calcyman's modification of the bistable switch I suppose but that recovers pretty slowly. So the limiting factor is the syringe, which has a safe recovery time of 78 but can be overclocked down to 75 or 74:

x = 57, y = 35, rule = B3/S2315b2o11bo6b2o$15b2o10bobo4bo2bo$27bobo3bob3o3bo$26b2ob2obobo6b3o$30bobo3b2o6bo$26b2obo2b4obo5b2o$26b2obobo3bo$30bobo3bo$31bobo3bo$32bo3b2o4$19b2o2b2o$18bobo2b2o$8b2o10bo$7bo2bo$6bob2o$6bo48b2o$5b2o48b2o$20b2o$20bo$21b3o$23bo10b2o$33bobo$33bo$32b2o6$3o$2bo$bo!

It's kind of a long way from there down to 52 ticks. If we could get something with a repeat time closer to a Snark's (43 ticks) then we could also do some really interesting new stuff with single-channel construction arms -- would basically have to re-do all the searches, and we'd end up with much more efficient recipes for everything.

dvgrn
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dvgrn wrote:
AforAmpere wrote:
calcyman wrote:These ideas can be used to create a p52 emu (oscillator), but currently we lack an over-unity component...

What is the shortest repeat time G-to-2G?

74 ticks, isn't it?

I suppose it would depend on how you define the problem. The syringe + H-to-2G is the fastest stable G->2G. It has a repeat time of 78, but can be over-clocked to p74 and p75, as you've shown.

However, there is a general method for duplicating gliders that works for all periods 58 and greater. It can be seen in the p58 gun:
x = 436, y = 279, rule = 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There are also trivial "duplicators" for any period with a gun: x = 114, y = 129, rule = B3/S23111b3o$113bo$112bo3$106b3o$108bo$107bo3$101b3o$103bo$102bo3$96b3o$98bo$97bo3$59bob2o28b3o$44b2o11b3obobo29bo$44bobo9bo4bo2bo27bo$46bo3bo4bobo3b3o7b2o4b2o16b2obo$46b2ob2o5bobo12bobo2bobo15bobob3o11b2o$49bob4o3b8o7b4o9b3o4bo2bo4bo9bobo$46b2o4b6o3bo3bo5bo2b2o2bo9bo5b3o3bo3bo2b2o2bo$45bob2obo7bobob2o7bo2b2o2bo8bo11bob6o3b2o$45bo6bo3bo3b2ob2o8bo2bo15b8o4b3o$46b6o8bo4bo26bo7b3o2bo2bob2o$50bo5bobo4b4o14b3o10bo2b2o2b2o3b5obo$46b2o4bo2bo2bobob2ob2o8b2o6bo9b2o4bo5bo6bo$46b2o3b2o2bo4b2ob2obo15bo10bo4b2o6b6o$56b4o2bo3bo3b3o5bo15bo3bobo6bo$60b2o2bobo4b2o5bo3bo7b2o2b2obo2bobo2bo4b2o$56b4o2bo3bo3b3o5b6o5bo4bob2o4bo2b2o3b2o$46b2o3b2o2bo4b2ob2obo13bobobo4bo3bobo2b4o$46b2o4bo2bo2bobob2ob2o7b3o2b3ob3o3bo3bo3bo$50bo5bobo4b4o14bo2bo4bo3bobo2b4o$46b6o8bo4bo8b2o7bo5bo4bob2o4bo2b2o3b2o$45bo6bo3bo3b2ob2o14bo10b2o2b2obo2bobo2bo4b2o$45bob2obo7bobob2o7bo2b2o3b3o12bo3bobo6bo$46b2o4b6o3bo3bo4bobobo6b3o9bo4b2o6b6o$49bob4o3b8o4b2o2bo5bo2bo9b2o4bo5bo6bo$46b2ob2o5bobo9b2ob2o6b2obo11bo2b2o2b2o3b5obo$46bo3bo4bobo3b3o3bob2o8b2o3bo7bo7b3o2bo2bob2o$44bobo9bo4bo2bo2bo4b3o6bo3bo6b8o4b3o$44b2o11b3obobo2b2o5b2o6bobob3o11bob6o3b2o$59bob2o8b2o11bo3bo5b3o3bo3bo2b2o2bo$70bob2o6bobob4obo3bo2bo4bo9bobo$68b2o2b2o6b2o2bo2bobo4bobob3o11b2o$69b3o12bo3bob2o3b2obo$65bo2bobo14b2obo2bo$63b3o2bobo13b3ob2o$62bo4bo14bo$62bob2obo3bo10bobo$61b2obo2bo3bo6b2o2bo2b3ob2o$64bo2bo10bo2b3o3bobobo$64b2obo2bo8b3o3bobobobo$62b2o2bobo14bobobo2bo$63bob2obobo8b3o3bobo$41b2o20bo2bo2b2o7bo2bobobob2o$41bo22bobo12bobob2o$39bobo23bo14bo$39b2o$65bo14bo$35b3o26bobo12bobob2o$37bo25bo2bo2b2o7bo2bobobob2o$36bo26bob2obobo8b3o3bobo$62b2o2bobo14bobobo2bo$64b2obo2bo8b3o3bobobobo$30b3o31bo2bo10bo2b3o3bobobo$32bo28b2obo2bo3bo6b2o2bo2b3ob2o$31bo30bob2obo3bo10bobo$62bo4bo14bo$63b3o2bobo13b3ob2o$25b3o37bo2bobo14b2obo2bo$27bo41b3o12bo3bob2o3b2obo$26bo41b2o2b2o6b2o2bo2bobo4bobob3o11b2o$70bob2o6bobob4obo3bo2bo4bo9bobo$59bob2o8b2o11bo3bo5b3o3bo3bo2b2o2bo$20b3o21b2o11b3obobo2b2o5b2o6bobob3o11bob6o3b2o$22bo21bobo9bo4bo2bo2bo4b3o6bo3bo6b8o4b3o$21bo24bo3bo4bobo3b3o3bob2o8b2o3bo7bo7b3o2bo2bob2o$46b2ob2o5bobo9b2ob2o6b2obo11bo2b2o2b2o3b5obo$49bob4o3b8o4b2o2bo5bo2bo9b2o4bo5bo6bo$15b3o28b2o4b6o3bo3bo4bobobo6b3o9bo4b2o6b6o$17bo27bob2obo7bobob2o7bo2b2o3b3o12bo3bobo6bo$16bo28bo6bo3bo3b2ob2o14bo10b2o2b2obo2bobo2bo4b2o$46b6o8bo4bo8b2o7bo5bo4bob2o4bo2b2o3b2o$50bo5bobo4b4o14bo2bo4bo3bobo2b4o$10b3o33b2o4bo2bo2bobob2ob2o7b3o2b3ob3o3bo3bo3bo$12bo33b2o3b2o2bo4b2ob2obo13bobobo4bo3bobo2b4o$11bo44b4o2bo3bo3b3o5b6o5bo4bob2o4bo2b2o3b2o$60b2o2bobo4b2o5bo3bo7b2o2b2obo2bobo2bo4b2o$56b4o2bo3bo3b3o5bo15bo3bobo6bo$5b3o38b2o3b2o2bo4b2ob2obo15bo10bo4b2o6b6o$7bo38b2o4bo2bo2bobob2ob2o8b2o6bo9b2o4bo5bo6bo$6bo43bo5bobo4b4o14b3o10bo2b2o2b2o3b5obo$46b6o8bo4bo26bo7b3o2bo2bob2o$45bo6bo3bo3b2ob2o8bo2bo15b8o4b3o$3o42bob2obo7bobob2o7bo2b2o2bo8bo11bob6o3b2o$2bo43b2o4b6o3bo3bo5bo2b2o2bo9bo5b3o3bo3bo2b2o2bo$bo47bob4o3b8o7b4o9b3o4bo2bo4bo9bobo$46b2ob2o5bobo12bobo2bobo15bobob3o11b2o$46bo3bo4bobo3b3o7b2o4b2o16b2obo$44bobo9bo4bo2bo27bo$44b2o11b3obobo29bo$59bob2o28b3o3$97bo$98bo$96b3o3$102bo$103bo$101b3o3$107bo$108bo$106b3o3$112bo$113bo$111b3o! -Matthias Merzenich Sokwe Moderator Posts: 1479 Joined: July 9th, 2009, 2:44 pm ### Re: Oscillator Discussion Thread I made this p39 using the p3 bumper I posted earlier. x = 47, y = 47, rule = B3/S2330b2o$30bo2bo$32b2o$28b4o$28bo4b3o$24b2o3b2ob2o2bo$16bo7bo3bo6bo$16b3o6b3o4b3o$19bo$18b2o7b4o$5bo22b3ob3o$4bobo16bo$4bo2bo2bo11bobo3b3o$b2ob2obo2bo3bo7bo2bo4bobo$2bo2bobo2bo2bobo7b2o6bobo$o2bo10bo17bo$2obobo3b2ob2o25b2o$3bobo3b2obo7b2o17bo$3b2obo2b2obo6bobo15bobo$7bobo11bo6bo8b2o$7bo21bo$5bobo5bo13b3o$5b2o5bobo18b2o$11bo2bo17bo2bo$12b2o18bobo5b2o$17b3o13bo5bobo$17bo21bo$8b2o8bo6bo11bobo$7bobo15bobo6bob2o2bob2o$7bo17b2o7bob2o3bobo$6b2o25b2ob2o3bobob2o$14bo17bo10bo2bo$13bobo6b2o7bobo2bo2bobo2bo$14bobo4bo2bo7bo3bo2bob2ob2o$16b3o3bobo11bo2bo2bo$23bo16bobo$12b3ob3o22bo$16b4o7b2o$27bo$12b3o4b3o6b3o$11bo6bo3bo7bo$10bo2b2ob2o3b2o$11b3o4bo$15b4o$13b2o$13bo2bo$15b2o! I was hoping for p36 because the reaction supports p36 streams, but that doesn't work out. I can't quite figure out the math behind what period loops can be made with this kind of interaction. If I understand correctly there's no way to enlarge the loop in order to make it work at p36 - it requires another reflector with a different delay. How do I work out what's required to make it work? The latest version of the 5S Project contains over 196,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki. wildmyron Posts: 1209 Joined: August 9th, 2013, 12:45 am ### Re: Oscillator Discussion Thread wildmyron wrote:I made this p39 using the p3 bumper I posted earlier...I was hoping for p36 because the reaction supports p36 streams, but that doesn't work out. I can't quite figure out the math behind what period loops can be made with this kind of interaction. If I understand correctly there's no way to enlarge the loop in order to make it work at p36 - it requires another reflector with a different delay. How do I work out what's required to make it work? Actually period 36 is perfectly doable. Good thing, too, because we have a critical shortage of alternate color-preserving reflectors that work at p36. A CP semi-cenark can be overclocked to p36, but we'd run out of gliders in the loop after a while. To figure this kind of thing out, first work out the total period of the loop -- 39*4 = 156 in this case. Then start adding 8N until you get a multiple of the period you want. In this case, +3fd, stretching the loop three cells diagonally to get to 180 ticks, is the minimum. You have to add one more glider to the loop to get p36: x = 50, y = 50, rule = B3/S2333b2o$33bo2bo$35b2o$31b4o$31bo4b3o$27b2o3b2ob2o2bo$19bo7bo3bo6bo$19b3o6b3o4b3o$22bo$21b2o7b4o$31b3ob3o2$26bobobob2o$5bo18bo8bobo$4bobo17bo5b2o2bobo$4bo2bo2bo14bo9bo$b2ob2obo2bo3bo11bobo13b2o$2bo2bobo2bo2bobo11bo14bo$o2bo10bo25bobo$2obobo3b2ob2o26b2o$3bobo3b2obo$3b2obo2b2obo$7bobo8b3o14b2o$7bo12bo13bob2o$5bobo11bo14bob2o5b2o$5b2o5b3o19bo2bo4bobo$35b2o5bo$10b2o28bobo$15bo3bo17bob2o2bob2o$18b2o17bob2o3bobo$8bo5bo3bobo4bo10b2ob2o3bobob2o$7bob2o2bo11bobo7bo10bo2bo$7bo17b2o7bobo2bo2bobo2bo$6b2o27bo3bo2bob2ob2o$14bo24bo2bo2bo$13bobo6b2o19bobo$14bobo5bobo19bo$16b3o3b3o2$12b3ob3o$16b4o7b2o$27bo$12b3o4b3o6b3o$11bo6bo3bo7bo$10bo2b2ob2o3b2o$11b3o4bo$15b4o$13b2o$13bo2bo$15b2o!

The next loop of the right size is +12fd. So there you could make the bumper mechanisms 90-degree rotationally symmetrical, but you have to have seven gliders in the loop so the whole thing is only C4 symmetric with a time shift (or however you say that):

x = 59, y = 59, rule = B3/S2336b2o$36bo2bo$38b2o$34b4o$34bo4b3o$30b2o3b2ob2o2bo$22bo7bo3bo6bo$22b3o6b3o4b3o$25bo$24b2o7b4o$34b3ob3o2$29bobobob2o$27bo8bobo$27bo5b2o2bobo$28bo9bo$5bo23bobo$4bobo23bo$4bo2bo2bo$b2ob2obo2bo3bo$2bo2bobo2bo2bobo$o2bo10bo$2obobo3b2ob2o7b3o27b2o$3bobo3b2obo10bo13bo13bo$3b2obo2b2obo9bo15b2o9bobo$7bobo27b2o10b2o$7bo37b2o$5bobo5bo30b3o$5b2o4b2o2bo28bo2bo$14b2o29b2o$40bo11b2o$40bobo8bobo$40b2o9bo$8b2o39bobo$7bobo36bob2o2bob2o$7bo38bob2o3bobo$6b2o37b2ob2o3bobob2o$25bo18bo10bo2bo$24b2o17bobo2bo2bobo2bo$24bobo4bo12bo3bo2bob2ob2o$31bobo14bo2bo2bo$31b2o19bobo$53bo$20bo$19bobo6b2o$20bobo5bobo$22b3o3b3o2$18b3ob3o$22b4o7b2o$33bo$18b3o4b3o6b3o$17bo6bo3bo7bo$16bo2b2ob2o3b2o$17b3o4bo$21b4o$19b2o$19bo2bo$21b2o!

Every time you add 9fd -- 9*8=72 ticks -- you have to add two more gliders to the loop to fill it up at p36.

There's a weird optical illusion in both of these, where it looks like the gliders couldn't possibly be evenly spaced... but oscar reports them both as p36 oscillators.

The cases where enlarging the loop doesn't help are situations where you want some number like 8N, but what you have is 8N+k for nonzero k. No matter how many eights you add it never seems to help.

dvgrn
Moderator

Posts: 5742
Joined: May 17th, 2009, 11:00 pm

Ah, thanks for the explanation. I tried to go for a loop with 4 gliders initially which blew up because the p3s were out of phase and then when I tried going bigger i went in steps of 36, which of course didn't solve the problem.
The latest version of the 5S Project contains over 196,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1209
Joined: August 9th, 2013, 12:45 am

wildmyron wrote:I made this p39 using the p3 bumper I posted earlier.

Congratulations! This is the first p39 that has more than 2 connected p39 cells, as well as the first p39 with no p13 cells. Of course, it is also the first p39 reflector. I've updated the Life status page accordingly. For documentation purposes, here is the link to your original post.

Edit: How did you find the p3 sparker? The interaction is non-trivial.

If you are unsure about whether an interesting oscillator or oscillator component is new, you should still post it here. Far too many interesting patterns are ending up in the threads for your accidental/unsure/useless discoveries. This will make them hard to find when people are trying to build pattern collections.

With that in mind, here two oscillators (p6 and p7) found by Bullet51:
x = 37, y = 14, rule = B3/S2333bo$31b3o$30bo$4b2o22b3ob4o$4bo4bo3b2o12bo3bobo2bo$5bo3bobo2bo11bo2bobo3b2o$2obobo3bob3o12bob2o$ob2obobo17b2o4b2o$6b8o12bob2o$13bo11bo2bo$8b4o13b2o5b2o$8bo2b2o19bo$33b3o$35bo! See here and here. -Matthias Merzenich Sokwe Moderator Posts: 1479 Joined: July 9th, 2009, 2:44 pm ### Re: Oscillator Discussion Thread Sokwe wrote: wildmyron wrote:I made this p39 using the p3 bumper I posted earlier. Congratulations! This is the first p39 that has more than 2 connected p39 cells, as well as the first p39 with no p13 cells. Of course, it is also the first p39 reflector. I've updated the Life status page accordingly. For documentation purposes, here is the link to your original post. Thank you. Lucky I went for the p39 instead of p36 then . It didn't occur to me that it would be significant as an oscillator or that there was no reflector at that period. Sokwe wrote:How did you find the p3 sparker? The interaction is non-trivial. I used JLS and a method similar to what you showed for finding a sparker to support a smaller p52 gun. In this case I started from the p6 bumper in a grid with 36 gen, and kept it periodic (using unknown cells to insert and remove the glider). Then I accepted the state, removed the sparker, cleared the spark interaction area and a few cells around it, cleared a channel to the south of the interaction area, made most of the cleared area p3 except for a 1-2 cell boundary around the interaction area and then removed a few extra off cells during generations at and after the interaction. I set most of the p3 area to Don't Care initially until I found a spark that would work. This took a few goes, and I had to adjust the empty area slightly before finding a solution. I tried this after unsuccessfully searching for a p2 bumper. This would be very useful as it would allow true p34 and p38 reflectors and oscillators. None of the searches I tried were successful and the search space eventually got to a point where it was taking hours to run. I only found one p2 spark from the initial search results and it was impossible to support with p2 as soon as I removed the Don't Care cells around it. Edit: I forgot to mention the most important setting for completing this search in a reasonable time: Set the overall search order to "Process all cells in a generation first...". This is much faster because the number of unset cells in gen 0 + gen 1 is much less than number of generations * number of unconstrained cells. The p2 border ensures the whole grid is determined after gen 0 and gen 1 are complete. Edit 2: oops, I wrote that edit thinking about p2, but the same argument applies to p3 Last edited by wildmyron on April 5th, 2018, 8:16 am, edited 1 time in total. The latest version of the 5S Project contains over 196,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki. wildmyron Posts: 1209 Joined: August 9th, 2013, 12:45 am ### Re: Oscillator Discussion Thread Do you have a partial result for the p2 bumper? I could try bashing it with SAT solvers. 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 calcyman wrote:Do you have a partial result for the p2 bumper? I could try bashing it with SAT solvers. No, the p2 result I mentioned came from a search with only 1 layer of p2 cells, and required non p2 cells to support the p2 layer. None of my subsequent searches with two layers of p2 cells yielded any results. I have thought about passing the problem to a SAT solver but I think it will need to be defined in its entirety. This would have the advantage of being able to define periodic cells which momentarily become non-periodic, which JLS can't do (except for manually set phases which aren't required to obey the periodicity constraint). Are there any other good prospects for finding a fast p2 reflector? The latest version of the 5S Project contains over 196,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki. wildmyron Posts: 1209 Joined: August 9th, 2013, 12:45 am ### Re: Oscillator Discussion Thread wildmyron wrote:Are there any other good prospects for finding a fast p2 reflector? Or a stable one, for that matter? A color-changing Snark that recovers in 34 ticks would solve the p34 and p38 oscillator cases, and a whole lot of other problems besides. But I guess I don't have any immediate suggestions for a likely mechanism, except maybe a fresh look at getting the half-blockade back directly from the surplus R output in Guam's G4-to-R converter: x = 93, y = 76, rule = LifeHistory6$30.3D9.3D3.3D8.5D.D11.4D$29.D3.D7.D3.D.D3.D7.D5.D11.D3.D$29.D11.D3.D.D11.D5.D5.D3.D.D3.D$29.D2.2D.5D2.4D.D2.2D.5D2.3D2.D6.D.D2.4D$29.D3.D11.D.D3.D11.D.D7.D3.D2.D$29.D3.D11.D.D3.D7.D3.D.D6.D.D2.D3.D$30.3D9.3D3.3D9.3D2.5D.D3.D.D3.D8$33.C$34.C$32.3CB$33.4B$34.4B$35.4B$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B$42.4B$43.4B$44.4B$45.4B$46.4B$.C45.4B$2.C45.4B3.C$3C46.4B3.C$50.4B3CB$51.8B26.B$52.8B24.2B$53.8B22.3B$2C52.8B20.4B$2C2.2C49.8B18.4B$4.2C50.8B16.4B$57.8B7.2A5.4B$58.8B5.B2AB3.4B$59.8B4.3B3.4B$60.8B4.B2.5B$61.8B.9B$62.16B.3B$63.19B$64.21B3.B$65.21B.B2A$66.22B2A$67.20B.B$65.12B2A7B$64.2B2D9B2A4B.B$64.B2D14B$65.BD11B3.A$66.10B5.3A$68.8B8.A$69.5B9.2A$69.2B2AB$71.2A! But unless the spark at the lower right can be used to trigger the rebuild, and the R can be suppressed impressively quickly, that reaction probably won't recover soon enough to work at p34. Fast-recovery candidates are hard to find. A stable bumper would make another color-changing Snark -- not that I'd turn up my nose at that, but the required spark just doesn't seem likely to have a stable equivalent. dvgrn Moderator Posts: 5742 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI ### Re: Oscillator Discussion Thread Well done on the p3 bumper result! I see that it's already in use in the gun collection, too. The description of attempts to find a p2 bumper are, essentially, calling for a version of Bellman that can handle p2 catalysts. That can be arranged with LLS. I should really get proficient and familiar with it, at this point...as for a stable bumper, that's not likely. The reaction isn't very picky about how the spark is shaped, thus allowing wildmyron to unearth a p3 version, but it's quite firm about the first tick of the interaction occurring on, well, the generation that it does in every version so far. On that tick, there's nothing new at the edge of the reaction envelope--so a bumper simply will not work with a stable object; stable objects would start reacting at least one tick sooner and ruin the whole thing. Tanner Jacobi Kazyan Posts: 843 Joined: February 6th, 2014, 11:02 pm ### Re: Oscillator Discussion Thread @Kazyan, thanks for pointing that out. I have no experience with Bellman yet, but maybe I should give it a whirl. This is the smallest (by population) p3 I could find which supports the bumper - 24 cells. x = 12, y = 13, rule = B3/S2311bo$9b3o$8bo$8b2o2$4bob2o$2bo4bo$2bo2b2o$2bo3bo$5bo$ob2obo$bo$bo!
The latest version of the 5S Project contains over 196,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.
wildmyron

Posts: 1209
Joined: August 9th, 2013, 12:45 am

Were any of the following p7 bumper variants previously known?
x = 142, y = 16, rule = B3/S236bo39bo39bo39bo$4bobo13bo2bo20bobo37bobo37bobo10bo$5b2o11b6o21b2o38b2o38b2o9bobo$17bo6b2o110bobo$7b2o4b2o2bo2b4o2bo20b2o4b2o5bo26b2o4b2o5b2o25b2o6b2obob2o$6bo2bo3bobo3bobobob2o19bo2bo3b2o3b3o25bo2bo3b2o5b2o24bo2bo8bo2bo$6bobo6bo2bobobo2bo20bobo8bo28bobo37bobo6b3obo$7bo7bo3bo3bobo21bo10bo28bo39bo6b2obob2o$13bobobobobobob2o26bo3b2o2bo31b2o5b2o33bo3bo$2b2o9b2obobobobo19b2o8bob2o3b3o20b2o8bo2bo3bo2bo19b2o8b2obobobo$3bo12bo3bo22bo13b2o24bo8bo3bobo3bo20bo4b2obobobob2o$3o13b2o2b2o18b3o9bob2o3bo20b3o9bo3bobo3bo17b3o5bob2obo2bo$o39bo11bo2bob2o21bo10bo2bobobobo2bo16bo13bobo$53bobobo34bobobobobobo32bo$54b2o2bo36bo3bo$57b2o! A p4 bumper can replace to of the p8 bumpers in AbhpzTa's p40 gun to save a row at the top and bottom: x = 165, y = 134, rule = B3/S2392b2o$83bo9bo7bo$83b3o7bob2o2b3o15bo$86bo7bo3bo17b3o$85b2o12bo15bob3o$96b3o6bo8bo3bo$105b3o5bo3bo$90bobo15bo3b3obo$88b3ob3ob2o9b2o4b3o$89bobob2ob2o16bo$90b3o17bo$90b3o16bobo$105b2o2b2o$67b2o36b2o$67b2obo$71bo$68bo38bo$69bob2o34b2o$71b2o8b2o23bobo$82b2o16bo$75bo5bo16bobo$74bobo22b2o16bo$75b2o41bo$71b2o43b3o$70bobo29b2o$70bo5b2o23bo2bo4b2o$69b2o5b2o23bobo5b2o$102bo$85b3o$65b2o18bo11b2o9b2obo32b3o$65bobo3b2o3bo9bo11bo10bobo6bo24bo$67bo3bo3bobobo15b3o12bo16bo5b2o8bo3bo$63b4ob2obo3bo2b2o15bo13b2o5bob3o7bo4b2o8bo2bobo$63bo2bo3bob2obo33b2o7b2obo4b3o16bobo2bo$68bobobobob4o29b2o7bob2o24bo3bo$66b2o2b2o2bo5bo38b3obo26bo$68b2obo2bo2bobo4bo21bo6b2o13b2o17b3o$69bobobo5b2ob2obo19b3o6bo6bo8bo24bobo$69bobob8o2bobo2bo6b3o6b3obo5bobo11b2o24bo$70bobo4bo5bo2b3o6bo9bo3bo5b2o21b2o15bo2bo$71bo2b3o12b2o5bo9bo3bo27b2o10bo4bobobo$72b2obo4bo3b5o2bo15bob3o38bo5bo2bo$77bo5bo5bo2bo15b3o39bo6b2o$76b2o2bob2ob4ob2obo15bo13b3o35b2o$81bo2bo3bob2obo28bob4o3b2o13b3o3b3o6bo2bo$84b3o6b2o27bobob3o2b3o$86b3obo3b2o10b2o2bo11b2o15bo10bo10bo2bo$87bob4obob2o8b2o2bo11b2o8b2o4b2o10bo9bo2bo$82bo9b2o12bo31bobo9bo9bobo$81b3o4bobo6bo7bo25bo2bo16bo9bo$7b3o70b3obo5bo5bo8bo7b2o19bo16bo$10bo70bo3bo4bo22b2o18bo17bo9b2o$6bo3bo71bo3bo21b3obobo19b3o24b2o$5bobo2bo72bob3o21b4obo14b2o5bo10b3o3b3o$3bo2bobo16b2o43bo6b2o5b3o24b3o15bo$3bo3bo16bobo51bo6bo13b3o28b3o18bo5bo$3bo19b3o14bo27bob3o5bobo17bob4o28bo18bo5bo$4b3o16b2o13b3o29b2obo5b3o16bobob3o35b2o9bo5bo$11bobo12b2o9bo32bob2o7b3o2bo11b2o23bo17b2o$10bo14b3o9b2o32b3obo6b2o2bo11b2o7bo16bo15bo12b3o3b3o$11bo2bo43bo6b2o15bo24bo7bo6b3o21b2o$6bo4bobobo41b3o6bo6bo7bo24bo39b2o9bo$6bo5bo2bo9b2o2bobobo22b3obo5bobo12bo7b2o11bo2b2o6bob3o39bo$6bo6b2o10b2o8bo21bo3bo5b2o20b2o11bo2b3o7b2obo28bo9bo$17b2o10bo5bo22bo3bo21b3obobo16b3o5bob2o27bobo9bo$2b3o3b3o6bo2bo13bo24bob3o21b4obo17bobo5b3obo24bo2bo9bo$31bobo12bo6b2o5b3o24b3o13bo6bo21bo11bo2bo10bo$6bo10bo2bo11bo21bo6bo13b3o24b3o5b2o6bo12bobo$6bo9bo2bo24bob3o5bobo17bob4o21b3obo24bo13bo2bo6b3o3b3o$6bo9bobo27b2obo5b3o16bobob3o21bo3bo22bo5bo10b2o$7bo9bo28bob2o7b3o2bo11b2o22bo4bo3bo21bo8b2o10b2o6bo$7bo39b3obo6b2o2bo11b2o7bo8bo5bo5bob3o22bobobo2b2o9bo2bo5bo$7bo9b2o39bo24bo7bo6bobo4b3o41bobobo4bo$17b2o21b3o6bo7bo24bo12b2o9bo43bo2bo$3b3o3b3o12bo15bo16bo7b2o11bo2b2o8b2obob4obo24b2o9b3o14bo$22b2o17bo23b2o11bo2b2o10b2o3bob3o24bo9b2o12bobo$7bo5bo9b2o35b3obobo27b2o6b3o19b3o13b2o16b3o$7bo5bo18bo28b4obo28bob2obo3bo2bo16bo14b3o19bo$7bo5bo18b3o28b3o13bo15bob2ob4ob2obo2b2o25bobo16bo3bo$35bo15b3o24b3o15bo2bo5bo5bo26b2o16bobo2bo$9b3o3b3o10bo5b2o14bob4o21b3obo15bo2b5o3bo4bob2o37bo2bobo$2b2o24b3o19bobob3o21bo3bo9bo5b2o12b3o2bo36bo3bo$2b2o9bo17bo18b2o22bo4bo3bo9bo6b3o2bo5bo4bobo35bo$13bo16bo19b2o7bo8bo5bo5bob3o6b3o6bo2bobo2b8obobo35b3o$3bo9bo16bo2bo25bo7bo6bobo4b3o19bob2ob2o5bobobo$2bobo9bo9bobo31bo12b2o9bo21bo4bobo2bo2bob2o$bo2bo9bo10b2o4b2o8b2o11bo2b2o8b2obob4obo30bo5bo2b2o2b2o$o2bo10bo10bo15b2o11bo2b2o10b2o3bob3o30b4obobobobo$31b3o2b3obobo27b2o6b3o32bob2obo3bo2bo$o2bo6b3o3b3o13b2o3b4obo28bob2obo3bo2bo25b2o2bo3bob2ob4o$2b2o35b3o13bo15bob2ob4ob2obo2b2o20bobobo3bo3bo$6b2o6bo39b3o15bo2bo5bo5bo14bo9bo3b2o3bobo$5bo2bo5bo38b3obo15bo2b5o3bo4bob2o10bo18b2o$5bobobo4bo10b2o27bo3bo9bo5b2o12b3o2bo7b3o$6bo2bo15b2o21b2o5bo3bo9bo6b3o2bo5bo4bobo$10bo24b2o11bobo5bob3o6b3o6bo2bobo2b8obobo$7bobo24bo8bo6bo6b3o19bob2ob2o5bobobo$15b3o17b2o13b2o6bo21bo4bobo2bo2bob2o$14bo26bob3o38bo5bo2b2o2b2o$14bo3bo24b2obo7b2o29b4obobobobo$14bo2bobo16b3o4bob2o7b2o33bob2obo3bo2bo$16bobo2bo8b2o4bo7b3obo5b2o13bo15b2o2bo3bob2ob4o10bo$17bo3bo8b2o5bo16bo12b3o15bobobo3bo3bo15bo$21bo24bo6bobo10bo11bo9bo3b2o3bobo11b3o$18b3o32bob2o9b2o11bo18b2o$77b3o$62bo$54b2o5bobo23b2o5b2o$54b2o4bo2bo23b2o5bo$61b2o29bobo$46b3o43b2o$46bo41b2o32bo$47bo16b2o22bobo32bo$64bobo16bo5bo31b3o$64bo16b2o$56bobo23b2o8b2o$56b2o34b2obo$57bo38bo$93bo$94bob2o$58b2o36b2o$54b2o2b2o72bo$53bobo16b3o58bo$54bo17b3o56b3o$50bo16b2ob2obobo$49b3o4b2o9b2ob3ob3o$48bob3o3bo15bobo$47bo3bo5b3o$46bo3bo8bo6b3o$45b3obo15bo12b2o$46b3o17bo3bo7bo$47bo15b3o2b2obo7b3o60bo$63bo7bo9bo61bo$71b2o68b3o!

There's probably a variant that can save another row.
-Matthias Merzenich
Sokwe
Moderator

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

Sokwe wrote:Were any of the following p7 bumper variants previously known?

Only the variant on the right appears in the gun collection at the moment. The variant on the left will definitely reduce some bounding boxes.

Sokwe wrote:A p4 bumper can replace to of the p8 bumpers in AbhpzTa's p40 gun to save a row at the top and bottom:

I'm pretty sure that is also new. The bounding box on the far side of the reflection is the same as the old p4 bumper but overall it is much much smaller.
chris_c

Posts: 895
Joined: June 28th, 2014, 7:15 am

Expanding on the nice p4 frob bumper, this saves another row on its left. Search is still in progress for a less sprawling one:

x = 13, y = 27, rule = LifeHistory2A$.A$.A.AB2.B$2.2AB.3B3.B$4.6B.AB$4.6BA2B$2A2.2B2A2B3A$.A3.A2BA3B$A5.ABA4B$2A4.BA.4B$2.A4.2B2.2B$2A.A3.2B3.B$.A.A3.A$.A.2A.2BA$2A2.4BA$2.2A2B.A$2.2ABA$2A.2AB$A2.2AB$.3A.AB$3.B.2AB$.2AB.A.2A$A2.A.A.2A$2A2.2A$5.A.2A$3.A.A.2A$3.2A!

EDIT: A quick check of that that can trim found p56, p68, p76, and p128:

#56x = 118, y = 63, rule = LifeHistory77.2A$14.2A61.3B$12.2B2AB58.A3BA$12.4B13.A45.A4BA$12.4B11.3A46.BABA.A8.A$13.2A2B9.A25.2A24.A.ABAB4.3A$13.2ABA9.2A23.A.A25.A4BA2.A$14.2BAB5.5B17.2A4.A28.A3BA2.2A$14.2BAB3.BA3B17.A2.A2.2A.4A24.3B2.4B$13.A2BA4BABA3B16.2A.A.A.A.A2.A25.2A.BAB$14.2A2.2BA2BA4B18.A.ABABAB28.B.ABAB$18.3B2A4B19.A.AB2AB30.2B2AB.2A$20.2B2A2B21.AB.2B30.7B2A$20.3B2A25.3B30.7B$19.3B2A2B24.4B6.2A9.2A5.2A3.7B$18.4B.BA2B21.6B6.A11.A5.2A2B.6B$17.4B3.4B20.6B3.BA.A11.A.AB3.11B$16.4B5.4B17.4B3A3B.B2A13.2AB.8B2.4B$2A13.4B7.4B15.4BA3BA4B17.2B2A5B4.4B$.A12.4B9.4B13.4BA5BA3B17.BABA5B5.4B$.A.AB2.B5.4B11.4B11.6BA3BA4B15.2B.BA7B5.4B$2.2AB.3B3.4B13.4B9.4B2.2B3A3B16.BAB3.8B5.4B19.AB$4.6B.4B15.4B7.4B5.6B16.3A3B.B3.4B5.4B17.B2A$4.10B17.4B5.4B4.9B14.AB3AB7.4B5.4B16.2ABAB$2A2.2B2A5B19.4B3.4B5.2A4.4B12.A.2BAB9.4B5.4B14.A2B3A$.A3.A2BA3B21.4B.4B7.A5.4B9.BA2B.A12.3BA5.4B12.A.ABAB$A4.BABA4B21.7B5.3A7.4B7.B3ABA14.ABAB5.4B9.BABA.A$2A4.BA6B21.5B6.A10.4B6.2B3A16.2A2B5.4B7.3A2BA$2.A4.2B2.4B20.6B17.4B7.BAB17.4B5.4B3.B.2BAB2A$2A.A3.2B3.4B17.3B2A4B17.4B6.2B19.4B5.B3A4B3.2AB$.A.A3.B5.4B12.2A2.2BA2BA4B17.4B27.4B5.A6BAB.BA$.A.2A.B2A5.4B10.B2A5BABA3B19.4B27.4B5.A4BABAB$2A2.BAB2A6.4B10.4B3.BA3B21.4B27.4B4.5B2A2B$2.B2AB.B8.4B9.4B5.5B20.4B27.4B2.8B.B2A$2.2BAB11.BABA7.B3A9.2A21.4B27.11B3.BA.A$2A.3B12.B2AB6.2B2A9.A23.4B27.6B.2B2A5.A$A2.2BA13.A3B4.2A2B11.3A.A19.4B19.A7.4B4.2A5.2A$.3A.AB13.4B3.3AB13.A.3A12.B.3B.4B16.3A6.6B$3.A.ABA13.4B2.BABAB17.A10.13BA4B8.A8.5B2AB$.3A.A.BA13.4B3.2A5.A11.2A3.B5.2B2A9B6AB7.2A6.4BA4BA$A2.B.A.2A14.4B7.3A11.8B3.2B2A8BA2B2AB2A2.B.5B5.4B.A4BAB$2A2.BA18.4B5.A16.8B.11B2ABA3B2A.6B6.4B.2B2AB2A2B$5.A.2A16.4B4.2A15.21BAB4A10B4.4B3.9B$3.A.A.2A9.2A6.9B14.15B.2B2.5B2A18B4.10B$3.2A14.A7.6B14.17B8.21B4.12B$19.A.2A5.6B3.B2.2B2.19B11.19B3.9B.4B$20.A2.A4.35B12.23B2A3B4.4B$21.2AB3.9BABA15B.7B13.23B2A3B5.4B$22.14BA2BA23B10.8B2.15B2A2B7.4B$23.13BA2BA24B9.2A3.B5.17B9.4B$24.13B2A14B2.8B11.A7.21B8.4B$24.9B2A6B.B.2B11.6B8.3A6.A.2AB2.6B.2B5.2A9.4B$25.8B2A5B4.3B10.5B9.A6.3AB2AB2.6B8.A11.4B$25.15B5.A2B.2A7.4B15.A4.B5.5B9.3A9.3BA$26.13B5.A.A2B.A7.4B16.3A.2A5.4B11.A10.ABA$28.13B2.A.AB2.A9.B.B2A16.A.A4.5B24.2A$27.8B4.2A.A.A3.A12.BA.A15.A.A4.2A28.B$27.6B6.2ABA2.4A.A13.A16.A6.A$27.5B8.B2.A.A3.A.A12.2A19.3A$27.B.B9.2A.2A2.A2.A.A33.A$28.3B9.A.A2.2A3.A$27.B2AB9.A.A$28.2A11.A!

#68x = 118, y = 57, rule = LifeHistory73.2A14.A5.A.2A.A2.A2.2A3.2A$64.A9.A7.A6.3A3.2A.A.4A2.A.A.A.A$64.3A7.A.2A2.3A9.A6.A4.2A2.A.A$67.A7.A2B.A11.2A7.3A.5A2BA2.2A$66.2A9.2B.A10.5B6.A3B2A4.A2.A$66.5B6.3AB12.3BAB5.2BA2B7A$19.2A47.3BAB5.2B12.3BABA2B2.2B4.BA$11.A7.A9.A37.3BABAB3.2B12.4BA2BA2BA2BA4.B2A.2A$11.3A2.BA.A7.3A36.4BA2BA3B2AB12.4B2A3B.2A6.2A.2A$14.A.3A7.A40.4B2A3B.2A14.6B$13.A.2A9.2A40.6B20.5B$13.A2BA6.5B41.5B19.7B$14.2B5.BA3B42.7B10.A6.4B.4B$15.2B3.BABA3B40.4B.4B7.3A5.2A2B3.4B$14.A2BA2BA2BA4B38.4B3.4B5.A7.ABAB5.4B13.2A$15.2A.3B2A4B38.4B5.4B4.2A5.3BA7.4B12.A$20.6B38.4B7.9B4.4B9.4B5.B2.BA.A$20.5B38.4B9.6B5.4B11.4B3.3B.B2A$19.7B36.4B10.8B2.4B13.4B.6B$18.4B.4B34.4B9.15B15.10B$17.4B3.4B32.2A2B10.14B17.5B2A2B2.2A$16.4B5.4B30.2B2A11.13B19.3BA2BA3.A$2A13.4B7.4B10.A17.2BAB10.2AB.10B19.4BABAB4.A$.A12.4B9.2B2A7.3A16.4B10.A.AB3.B2A3B20.6BAB4.2A$.A.AB2.B5.4B11.BABA5.A18.4B11.A6.B2A3B19.4B2.2B4.A$2.2AB.3B3.4B13.A6B.2A16.4B11.2A6.4B20.4B3.2B3.A.2A$4.6B.4B15.9B15.4B21.3B19.4B5.B3.A.A$4.10B17.6B16.4B23.2B.BA15.4B5.2AB.2A.A$2A2.2B2A5B19.5B15.4B23.B2ABA.A13.4B6.2A2BA2.2A$.A3.A2BA3B19.7B13.4B23.BABABA.A2.2A8.4B8.B.B2AB$A4.BABA4B19.6B12.4B19.A2.A2.A.A.A.A.A.A7.4B11.4B$2A4.BA6B18.7B10.4B.3B.B12.3A2.4A.2A2.A.A8.4B12.A2B.2A$2.A4.2B2.4B17.6B4.18B10.A9.A4.A.2A6.4B13.A2B2.A$2A.A3.2B3.4B16.7B2.16B2A2B5.B3.2A6.A.A3.2A2.A5.A3B13.2A.3A$.A.A3.B5.4B15.7B2.16B2A2B3.8B6.2A6.A6.A3B13.ABA.A$.A.2A.B2A5.4B13.9B.20B.8B16.2A4.B3A13.AB.A.B2A$2A2.A2B2A6.4B12.36B2AB17.2B2.4B14.2A.A.A2.A$2.B2AB.B8.3BA6.A4.3BA16B2.2B.10BA2BAB15.8B6.2A10.AB2.2A$2.4B11.3BA4.A2B.2A2B3A12B8.9B2A6B13.7B7.A8.2A.A$2A.2BA12.3AB3.A6BAB2A10B11.9B2A3BA4B2.2B2.B2.7B5.2A.A8.2A.A.A$A2.2BA13.4B3.A.4B2AB2A8B12.10BA4BA19B4.A2.A13.2A$.3A.2A13.4B5.BABA13B12.7B.4B3A20B3.B2A$3.A.ABA13.4B4.BABA13B11.25B2A14B$.2AB.A.BA13.4B3.B2A12B.B2A8.26B2A13B$A2.A.A.2A14.4B2.12B4.BA.A8.8B2.29B$2A2.BA18.15B9.A8.6B11.2B.B.17B$5.A.2A16.15B8.2A8.5B10.3B4.15B$3.A.A.2A17.6B2ABA4B18.4B7.2A.2BA5.15B$3.2A22.3B2ABABA3B19.4B7.A.2BA.A5.13B$28.5B3A2B18.2AB.B9.A2.BA.A2.13B$29.B3A5B17.A.AB12.A3.A.A.2A4.8B$29.9B17.A13.A.4A2.AB2A6.6B$31.6B17.2A12.A.A3.A.A2.B8.5B$32.5B31.A.A2.A2.2A.2A9.B.B$33.3BA32.A3.2A2.A.A9.3B$34.3BA39.A.A9.B2AB$35.3AB39.A11.2A!

#76x = 121, y = 65, rule = LifeHistory19.2A64.A11.2A$11.A7.A9.A54.A.A9.B2AB$11.3A2.BA.A7.3A46.A3.2A2.A.A9.3B$14.A.3A7.A48.A.A2.A2.2A.2A9.B.B$13.A.2A9.2A47.A.A3.A.A2.B8.5B$13.A2BA6.5B48.A.4A2.AB2A6.6B$14.2B5.5B52.A3.A.A.2A4.8B$15.2B3.ABA4B50.A2.BA.A2.13B$14.A2BA2BABA5B36.BA6.A3.A.2BA.A5.13B$15.2A.2BA2BA3B36.A.AB3.3A3.2A.2BA5.15B$20.B2A3B37.BA.A2.A10.3B4.15B$20.5B39.AB3.2A10.2B.A.17B$19.7B41.4B3.11BA3BA13B$18.4B.4B39.3B4.7B2A3BA4BA13B$17.4B3.4B37.6B2.7BA3BA2BA2BA14B$16.4B5.4B36.7B.7BABA3B4A10B3.B2A$2A13.4B7.4B34.17B2A3B2A11B4.A2.A$.A12.4B9.4B32.20B2.2B2.B3.6B5.2A.A$.A.AB2.B5.4B11.4B31.17B14.6B7.A$2.2AB.3B3.4B13.4B10.A18.16B14.9B6.2A$4.6B.4B15.4B7.3A18.15B15.2A4.4B$4.10B17.4B5.A14.2A5.15B16.A5.4B$2A2.2B2A5B19.7B.2A13.A3.11B.8B11.3A7.4B$.A3.A2BA3B21.9B10.BA.A3.11B3.B3.2A11.A10.4B$A4.BABA4B21.6B9.B.BA.A3.12B7.A24.4B10.2A$2A4.BA6B21.5B8.2A3BA3.13B8.3A22.4B9.A$2.A4.2B2.4B19.7B7.2AB.3B2.13B10.A23.4B10.A$2A.A3.2B3.4B19.6B8.B3.2B2.15B26.2A5.4B5.5A$.A.A3.B5.4B18.7B10.4B.17B25.A5.4B4.A$.A.2A.B2A5.4B17.6B4.17BA10B2A24.A.AB.7B2.B3A$2A2.A2B2A6.4B16.7B2.17B2A8B.BA.A24.2AB.7B3.2B.A$2.B2AB.B8.4B15.7B2.16B2A5BA3B4.A26.3B2A7B4A$2.4B11.4B13.9B.17BA4B2A4B3.2A25.2BABA2B2A3BAB2.2A$2A.2BA12.4B12.28BAB2ABA5B29.4BA2B2A2B.B3A2.A$A2.2BA13.4B6.B4.20B2.2B2.4B2A8B28.10B3.B.A.2A$.3A.2A13.4B4.2AB.19B10.5BA2B2.4B26.8B8.A$3.A.ABA13.4B3.2A19B12.7B4.4B24.9B7.2A$.2AB.A.BA13.4B3.B.17B14.5B6.4B22.4B2.3B$A2.A.A.2A14.4B5.17B14.6B5.4B20.4B3.5B$2A2.BA18.4B4.17B18.2A6.4B18.4B7.2A$5.A.2A16.4B3.15B.B2A16.A8.4B16.4B8.A$3.A.A.2A17.4B2.12B4.BA.A16.3A6.4B14.4B10.3A$3.2A22.15B9.A18.A7.4B12.4B13.A$28.3BA11B8.2A26.4B10.4B$29.3BA10B37.4B8.4B$30.3A9B39.4B6.4B$31.10B41.4B4.4B$32.9B42.4B2.4B$32.9B43.8B$34.6B45.6B$35.5B44.7B$36.4B44.7B$37.4B42.2A7B$38.4B41.2A.B2A2B$39.4B43.BABA.B$40.4B43.BAB.BA$41.4B40.4B2.2AB$42.4B39.2A2.BAB2A$43.4B39.A2.3A2BA$44.4B35.3A4.BABA.A$45.4B34.A8.A.ABAB$46.4B43.A2B3A$47.3BA43.2ABAB$48.3BA42.B2A$49.3AB42.AB!

#128x = 60, y = 59, rule = LifeHistory19.2A3.2A2.A2.A.2A.A5.A$19.A.A.A.A2.4A.A.2A3.3A$21.A.A2.2A4.A6.A$16.2A2.A2B5A.3A7.2A$16.A2.A4.2A3BA6.5B$17.7A2BA2B5.BA3B$22.AB4.2B3.BABA3B$17.2A.2AB4.A2BA2BA2BA4B$17.2A.2A6.2A.3B2A4B$33.6B$33.5B$32.7B$31.4B.4B$30.4B3.4B$29.4B5.4B$28.4B7.4B$27.4B9.4B$26.4B11.4B$25.4B13.2B2A$24.4B15.BABA$9.A13.4B17.A3B$9.3A10.4B19.4B$12.A8.4B21.4B$11.2A7.4B23.4B$11.5B3.4B25.4B$13.3B2.4B26.4B$3.2A7.9B27.2BA2B$3.A8.8B27.2BABA4B$2A.A.B3.10B28.2BA2BA3B$A2.3AB.2B2A7B28.4BA4B$.2A2.BA3B2A7B27.10B$3.4A12B26.10B2A$3.A.2B3.7B.B2A14.2A8.9BA2BA$4.3AB2.7B.BA.A2.2A10.A9.8BABA$7.A4.4B5.A2.A11.A.AB4.11BA$2.5A5.4B5.3A2.A10.2AB.10B3A2B$2.A10.4B7.3A12.12B2A3B$4.A9.4B5.A15.17B$3.2A10.4B4.2A15.17B.B$8.2A6.9B14.19B2A$9.A7.6B14.19B.B2A$9.A.2A5.6B3.B2.2B2.20B4.B$10.A2.A4.36B$11.2AB3.27B.9B$12.14B2A16B2.7B$13.13B2A16B2.7B$14.29B4.6B$14.17B.B.2B10.7B$15.15B4.3B10.6B$15.15B5.A2B.2A6.7B$16.13B5.A.A2B.A7.5B$18.13B2.A.AB2.A8.6B$17.8B4.2A.A.A3.A7.9B$17.6B6.2ABA2.4A.A5.2A.7B$17.5B8.B2.A.A3.A.A5.A5.4B$17.B.B9.2A.2A2.A2.A.A2.3A7.4B$18.3B9.A.A2.2A3.A3.A10.3BA$17.B2AB9.A.A23.3BA$18.2A11.A25.3A!
Tanner Jacobi

Kazyan

Posts: 843
Joined: February 6th, 2014, 11:02 pm

A p6 sparker with exactly 7 p6 rotor cells, from JLS:
x = 21, y = 12, rule = B3/S238bo$7bobo$8bo8b2o$2b2obo2bo9bo$2bobo3b3o3b2obo$3ob4o3b2o$2bo3bobo2bobobo2bo$6bobobob2ob4o$2bob4o2bobo2bo$2bo7bobob2ob2o$3b3ob3o2bo2bob2o$5bobo4b2o! Useful at all? It seems to be a slightly stronger spark than the normal T-nosed p6, and slightly less obtrusive. x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1861 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Oscillator Discussion Thread Here is a modification to my previous attempts at a p52 gun: x = 159, y = 131, rule = B3/S23111b2obo$111bob2o$17bo$15bobo91b6o$16b2o91bo5bo4bo$111bobobo2b3o$110b4obobo$100b2o7bo5bobob2o$99bo2bo5bo2b3obo2bobo$99bobobo3bob2obobob2o$100bobobo2bo2bobobo3b2o$102bo2bob2obo4b2o3bo36b2o$101bo2b2o4b2obobob2obo35bobo$101bo4b2obo5bobobo38bo$bo96b2obob2o3b2ob3o3bo$2bo27bo65b3obob2ob2o4bo4bobo$3o25bobo64bo4bobo2bob3obob2obobo$29b2o65b4o4bo4bobobo2bobob2obo$94bobo2bobobo7bo6bobob2o$93bobo5bob2o5bobo2bo2bo$92bobo5b2obo6bobo3bobo2b3o$92bo10b2o2b2ob4ob2obobo2bo$91b2o7b2o6bobo7bo2bo$84b2ob2o10bobob2o2bo3b4o4bob2o$85bobo2bo8bo2bo5b3o5b4o3bo20b2o$85bobo2bobo3b2obo2b3o6bo4bo4b2o20bobo$83b2o2b3o2bo2bo2bob2o6b2o2bobob2ob2o24bo$14bo69bobo4b2o3bobobo8bobob4obobo$15bo27bo39bo2b2o3bob4obobo2b2o3bo2b3o3b3o$13b3o25bobo40b2o3b2ob2o4bob2o3bobob2o7bo$42b2o41bob2o6b2obo3b2obobo3bo3b2o5b2o$85bo2bobo2bobobob2o5bobobob3o5bo2bo$84b2obo2bo2bo3bo2b2ob3o2bob2obo4b3obo$85bob2ob2obobo2bo3b2o4bo5bo2bo4b2o$84bo7bo2b2ob6o5b8o2b2o$83bob5o3bo3bo5bob2o5bo3bobobob2o$83bo3bob4ob2obo2b2o4b5o3bo5bobo$81b3o7bo2bob2obo4bo5bo2bo4bobo2bo7b2o$80bo6bob2o2bo5b2o2bob2ob2o3bo7b2o7bobo$80b2o4bo2b2o8bo7b2o2b3o3b4o11bo$27bo54bo6bobo8b6o4bob2o6bo$28bo27bo23b2o2bobobobo5b2o3bobo2b5obo3b2o$26b3o25bobo24bob2obo5bo3b2o3bo2bo12b2o$55b2o24bobo2bob3obo8b2obob4obob3ob2o$80b2obobo6bo8bo2bobo11bo$80bo3bob2ob2o5b2o4bo3bobo4b3obo$81b2obo2bob2o5b2o4bo3bobobo4bo$82bob2o3b2o11bo3b2o4bo3bo$82bobobobobo12b2obo2b2o5bo$81b2obobo2b2o13bobobo3b2obo$84bo4bo14bobo2bo8b2o$84bo4bo15b2o3bo6bobo$85b2o32bo$40bo45bo$41bo27bo4bo8b3o16bo$39b3o25bobo4b3o6bo16bobo$68b2o7bo23b2o$60b2o14b2o11bo10b2o$60bo26b2ob2o7b3o$52b2o3b2obo27bo2bo7bo29bo$52bo4bobo29b2o9bo3b4o20bobo$53b3obo49b2o20bo$55bob2o44bo2bob2o$103b2obobo$71bob2o11b2o16bob2o17bo$60b2o9bo3bobo6bobobo16b2o18bobo$53bo5bobo2b2o11bo6bo5bo23b2o9b3o$54bo6bo2b2o9bobo6b2obo3bo9b2o11b2o11bo$52b3o16bobo11bo3b2o11bo$85bo13b3o$86bobo10bo6b2o$87bo18bo$104bobo$79b2o23b2o$78bobo$59b2obo8b2ob2o3bo4b3o12bo$59b2ob3o7bobobob3o2bo3bo10b3o$65bo5bo2bobo2b2o16bo$47b2o10b2ob3o6bob2o5b2o2b3o9b2o$46bobo11bobo5b2obobob2obo5b2o22bo$48bo11bobo5b2ob2o8bobo2bo13bo5b3o$61bo9bo9bo23bo$71bobo10b2o19b2o$72b2o7b2o16b3o$99b6o$102b2obo$104bobo$106bo$106b2o$84bo$84bobo$34b2o48b2o$33bobo$35bo9$71bo$71bobo$21b2o48b2o$20bobo$22bo9$58bo$58bobo$8b2o48b2o$7bobo$9bo9$45bo$45bobo$45b2o! This gives more room around the output herschel for sparkers. I'm hoping we can use p4 sparkers to get two gliders from the herschel. An unrelated idea that I don't think has been explored much is to get a usable signal out of Tanner Jacobi's sparky glider eater. Replacing the eaters with sparkers might yield something interesting. -Matthias Merzenich Sokwe Moderator Posts: 1479 Joined: July 9th, 2009, 2:44 pm ### Re: Oscillator Discussion Thread A for awesome wrote:A p6 sparker with exactly 7 p6 rotor cells, from JLS: x = 21, y = 12, rule = B3/S238bo$7bobo$8bo8b2o$2b2obo2bo9bo$2bobo3b3o3b2obo$3ob4o3b2o$2bo3bobo2bobobo2bo$6bobobob2ob4o$2bob4o2bobo2bo$2bo7bobob2ob2o$3b3ob3o2bo2bob2o$5bobo4b2o!

Useful at all? It seems to be a slightly stronger spark than the normal T-nosed p6, and slightly less obtrusive.

Reduced in one dimension, starting from the same two rows. With ofind.
x = 15, y = 12, rule = B3/S237bo$7bo$3b2ob4o$2bo6bo$2bobo2b2o$b2obo2b2o$o2bob2ob2o$2obobobobo$3bo2b3o2b2o$3bo7bobo$4b3o6bo$6bo6b2o! I am curious if there is a much less intrusive variant. What was your starting configuration for your p6? EDIT: Actually, I think the t-nosed p6 has a stronger spark in most situations, with some exceptions. compare: x = 32, y = 19, rule = B3/S235bo18bo$5bo18bo$4b3o13b2ob4o$19bo6bo$4b3o12bobo2b2o$18b2obo2b2o$2o2b3o2b2o6bo2bob2ob2o$obo2bo2bobo6b2obobobobo$bo7bo10bo2b3o2b2o$20bo7bobo$bo7bo11b3o6bo$obo2bo2bobo12bo6b2o$2o2b3o2b2o2$4b3o2$4b3o$5bo$5bo! Best wishes to you, Scorbie Scorbie Posts: 1380 Joined: December 7th, 2013, 1:05 am ### Re: Oscillator Discussion Thread Scorbie wrote:I am curious if there is a much less intrusive variant. What was your starting configuration for your p6? I think I had JLS at height 12, with the top two and bottom two rows set to period 1 and a 4x4 box on the left edge set to full period (everything else at p3), a single p6 cell in the second column set on in gen 0 and off in gens 2-3, and progressively smaller widths until there were no solutions that matched that spark. (The original discovery was very much an accident — I was mostly just looking for a p6, any p6, as a proof of concept.) Scorbie wrote:EDIT: Actually, I think the t-nosed p6 has a stronger spark in most situations, with some exceptions. compare: x = 32, y = 19, rule = B3/S235bo18bo$5bo18bo$4b3o13b2ob4o$19bo6bo$4b3o12bobo2b2o$18b2obo2b2o$2o2b3o2b2o6bo2bob2ob2o$obo2bo2bobo6b2obobobobo$bo7bo10bo2b3o2b2o$20bo7bobo$bo7bo11b3o6bo$obo2bo2bobo12bo6b2o$2o2b3o2b2o2$4b3o2$4b3o$5bo$5bo! You're right, I definitely agree. I was more considering how far and for how long the oscillator retreated after sparking, instead of how quickly it advanced before sparking. x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt) $$x_1=\eta x$$ $$V^*_\eta=c^2\sqrt{\Lambda\eta}$$ $$K=\frac{\Lambda u^2}2$$ $$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$ http://conwaylife.com/wiki/A_for_all Aidan F. Pierce A for awesome Posts: 1861 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Oscillator Discussion Thread Found a funky looking P4 oscillator with Randcat: x = 11, y = 10, rule = B3/S232ob5o2bo$2obo3b2obo$b2obob2o$2ob3o$3b3o4bo$o4b3o$5b3ob2o$3b2obob2o$ob2o3bob2o$o2b5ob2o!

Not sure if it's known, but thought it was worth sharing.
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Billabob

Posts: 143
Joined: April 2nd, 2015, 5:28 pm

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