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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 Discoveries Thread

is there any way to add generations instead of multiplying them?
x = 8, y = 10, rule = B3/S233b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo! No football of any dui mauris said that. 83bismuth38 Posts: 453 Joined: March 2nd, 2017, 4:23 pm Location: Still sitting around in Sagittarius A... ### Re: Oscillator Discoveries Thread new period 3 oscillator, I think. it wasn't on the wiki, and it has a constant population of 22: x = 9, y = 7, rule = B3/S235bobo$o4bo2bo$ob2obo2bo$o$2bo2b2obo$b2o4bo$b3o3bo! x = 8, y = 10, rule = B3/S233b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!

No football of any dui mauris said that.

83bismuth38

Posts: 453
Joined: March 2nd, 2017, 4:23 pm
Location: Still sitting around in Sagittarius A...

### Re: Oscillator Discoveries Thread

83bismuth38 wrote:is there any way to add generations instead of multiplying them?

Not exactly, but some oscillators are able to be combined in ways such that the resulting new oscillator's period is less than the two oscillators' least common multiple. This occurs when the two interfere with one another and they end up in different phases than they would have been separately. This is one of the routes that is promising for creating new periods, but it's problematic in that most oscillators cannot be phase shifted, and even if they can, the combinations you can produce might not allow for the period you were hoping for.

There's been at least some efforts along these lines to try and find oscillators this way, but I'm not sure on the details of where the best set of unexplored territory is to do this; someone involved in those searches can probably explain the situation in more detail.

Also, about the p3 osc: It's unfortunate that the Wiki doesn't have any clear references to pattern collections that are useful for verifying if a discovery is new. Unfortunately, it is already known - it's contained in the o0003.lif file of the jslife pattern collection. The wiki itself has very few patterns with pages relative to how many patterns are actually known, so it's not very helpful in this regard.
Sphenocorona

Posts: 477
Joined: April 9th, 2013, 11:03 pm

### Re: Oscillator Discoveries Thread

Oh, well I just found a bunch more and I wanna share them anyways:
x = 59, y = 26, rule = B3/S23$48bo3b2o$47bobobo2bo$7bobo14b2o7b2o17b3o$2bo4bo2bo13bo10bo13bobo$2bob2obo2bo8bob2obo7bo12b5ob4o$2bo14bo5bo7bo4bo11bo5bo$4bo2b2obo6bo3bo10b2obobo12bob2o$3b2o4bo7bo3b2o8bobob3o12bobo$3b3o3bo12b2o8bo3b2o10bobo2bo$22b2o7b2o3b3o9b2o2b2o$22bobo6b3o$23bo2$9bo41b3o$9bo12b2ob2o9b2o14b2o$9bo9b2o2bobo10bo3bo10b2o$5bo2b2o10bobo3bo10b4o6b3o2bo$5bo12bo3b4o6bob3o12bo$5bo4bo7bo2bo9bo3b4o11b2obo$7b2o9bo3bob2o6bo6bo11b5o$8b2obo9b2o2bo10bo12bobob3o$6bo4b2o9bobo8bo4bo10b2o$6b2o12bobob2o8b2o2bobo$20b2o17b2o! x = 8, y = 10, rule = B3/S233b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!

No football of any dui mauris said that.

83bismuth38

Posts: 453
Joined: March 2nd, 2017, 4:23 pm
Location: Still sitting around in Sagittarius A...

### Re: Oscillator Discoveries Thread

83bismuth38 wrote:Oh, well I just found a bunch more and I wanna share them anyways:

Nice! It is usually a good idea to post oscillators in the phase with the smallest population, if possible. If you do that, you would see that #5 and #8 are the same. #5 and #8 are already known - the Bowed Caterer. #2 is also known, and is one of the three remaining 20-bit P3s without a known synthesis. I have never seen #3 before, so it's a new 21-bit P3 that I can add to the list. Congratulations! (Unfortunately, it also doesn't appear to have an obvious synthesis either). I haven't been tracking P3s larger than 21 bits, so I couldn't tell you if any of the larger ones has been seen before or not. If you find any other 21-bit ones (that aren't obvious stator variants of smaller ones, e.g. two eaters, candelfrobra, etc.), please post them!
mniemiec

Posts: 974
Joined: June 1st, 2013, 12:00 am

### Re: Oscillator Discoveries Thread

mniemiec wrote:#2 is also known, and is one of the three remaining 20-bit P3s without a known synthesis.

Final step for #2:

x = 59, y = 53, rule = B3/S23o$b2o$2o17$43bo$44bo$42b3o5bo4bo$31bo6bo9b2o4bo$21bo10b2o5b2o8b2o3b3o$19bobo9b2o5b2o$20b2o4$31b2o14bobo$19b4o8bobo5bo7b2o$18bo3bo10bo4bobo7bo6b2o$22bo10b2o3bobo13b2ob2o$18bo2bo14b2obo15b4o$33b3obo18b2o$33bo4bo$27b3o9bo$40bo$37b3o$33b2o2bo$19b3o10bobo17b3o$21bo11bo14bo3bo$20bo17b2o7b2o4bo$37bo2bo6bobo$25b2o10bo2bo13bo$26b2o10b2o13b2o$25bo27bobo$34b2o11b2o$34bobo10bobo$34bo12bo5bo$23b3o26b2o$25bo26bobo$24bo! This is one of those "okay, sure, but how do you make that obnoxious still life?" kinds of syntheses. Tanner Jacobi Kazyan Posts: 777 Joined: February 6th, 2014, 11:02 pm ### Re: Oscillator Discoveries Thread mniemiec wrote: I have never seen #3 before, so it's a new 21-bit P3 that I can add to the list. Congratulations! (Unfortunately, it also doesn't appear to have an obvious synthesis either). I actually discovered something! edit: BTW, I want to name it runny nose. x = 8, y = 10, rule = B3/S233b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!

No football of any dui mauris said that.

83bismuth38

Posts: 453
Joined: March 2nd, 2017, 4:23 pm
Location: Still sitting around in Sagittarius A...

### Re: Oscillator Discoveries Thread

ok, so I changed the symmetry, and i got a bunch more:
x = 65, y = 97, rule = B3/S236$12b2o2b2ob2o9b2o2b2ob2ob2o$12bobo2bobo2bo7bobo2bobo3bo$14bobo2bob2o9bobo4b2o$14bo2b3o12bo2b3obo$12b3obo4b4o5b3obo6bo$11bo3bob4o3bo4bo3bob6obo$11b3obo5bo7b3obo8bo$12b2o5b3o8b2o5b3obo$12bo2bobo4b2o6bo2bobo3bob2o$14bo4b2o3bo7bo4b2o2bo$12bo2b3obob3o6bo2b3obo3bo$11bob2o3bo10bob2o3bo2bob2o$11bo3bo2bob2o7bo3bo2bob2o2bo$11b3ob2obob2o7b3ob2obobo2bo$11bo5bo11bo5bo3b2o4$27bo$26bobo16b3ob3o$11b2obo10bobobo16b2ob2o$10bobob3o8bo3bo16b2ob2o$10bobo4bo5b2o2bo2b2o10bo3bo3bo3bo$9b2o2bob3o4bo4bo4bo9b4o5b4o$12bobo6bobob2ob2obobo8b3o7b3o$9b3obo2b2o4bo4bo4bo$9bo4bobo6b2o2bo2b2o10b3o7b3o$10b3obobo8bo3bo12b4o5b4o$12bob2o9bobobo12bo3bo3bo3bo$26bobo17b2ob2o$27bo18b2ob2o$45b3ob3o2$9b2o3b2o$8bo2bobo2bo$8bob2ob2obo$6b3o7b3o11bo9bo$5bo3bobobobo3bo10b3o5b3o$5bobo3bobo3bobo8b2o3bo3bo3b2o$6b2ob2o3b2ob2o10bobobo3bobobo11bo2bobo2bo$29bo11bo11b4ob4o$6b2ob2o3b2ob2o11b2o2bobo2b2o$5bobo3bobo3bobo13b2ob2o15b3obob3o$5bo3bobobobo3bo32bo2bo3bo2bo$6b3o7b3o14b2ob2o14b2o3bo3b2o$8bob2ob2obo13b2o2bobo2b2o13b3ob3o$8bo2bobo2bo12bo11bo10b2o3bo3b2o$9b2o3b2o13bobobo3bobobo10bo2bo3bo2bo$28b2o3bo3bo3b2o10b3obob3o$30b3o5b3o$30bo9bo12b4ob4o$9b2o3b2o37bo2bobo2bo$9bobobobo$11bobo$9bobobobo$8bo2bobo2bo32bo2bo2bo$8b2obobob2o12bo3bo15b7o$11bobo14bobobobo$8b2obobob2o12bo3bo17b3o$8bo2bobo2bo11bo5bo15bo3bo$9bobobobo12bo5bo12bo2b5o2bo$11bobo13bo3bo3bo11b3o2bo2b3o$9bobobobo12b7o15b2ob2o$9b2o3b2o31b3o2bo2b3o$28b7o12bo2b5o2bo$27bo3bo3bo14bo3bo$28bo5bo16b3o$28bo5bo$5b2o5b2o15bo3bo15b7o$5bo2bobo2bo14bobobobo14bo2bo2bo$6b3ob3o16bo3bo2$6b2obob2o31b2obo3bob2o$4bo2bo3bo2bo29bob2o3b2obo$4b2o3bo3b2o12bo3bo$6b3ob3o14bo3bo13b3o3b3o$4b2o3bo3b2o12bo3bo12bo3bobo3bo$4bo2bo3bo2bo10b2obobob2o10bobobobobobo$6b2obob2o11bob2o3b2obo8b2obo2bo2bob2o$24bo9bo11b2obob2o$6b3ob3o12b9o9b2obo2bo2bob2o$5bo2bobo2bo30bobobobobobo$5b2o5b2o11b9o10bo3bobo3bo$24bo9bo10b3o3b3o$24bob2o3b2obo$25b2obobob2o10bob2o3b2obo$27bo3bo12b2obo3bob2o$27bo3bo$27bo3bo!
x = 8, y = 10, rule = B3/S233b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo! No football of any dui mauris said that. 83bismuth38 Posts: 453 Joined: March 2nd, 2017, 4:23 pm Location: Still sitting around in Sagittarius A... ### Re: Oscillator Discoveries Thread four p4 oscillators I found: x = 57, y = 13, rule = B3/S235bobo17b2o12b2o4b2o7b2o$3b3ob3o5b2o5bobobo2b2o2bob2obobo3bob3o3bo3bo$2bo7bo4bo2b2obob2o4bo3b2obobo5bo4bo2bo2b2o$bob5obobo4b2obobo3bo4b3o5bo12bo3bo$bo3bo3bobo5bo4bob2o8b2o3b2o4b2o3b2o3bo$2obo4b2ob2o3bo2b2obo7b2o3bobobo7b2obo3bo$3bo5bo7b2o5b2o4bo2b2ob2o2bo7b2ob2o$2ob2o4bob2o7bob2o2bo4bobobo3b2o5bo3bob2o$bobo3bo3bo5b2obo4bo4b2o3b2o8bo3b2o3b2o$bobob5obo5bo3bobob2o5bo5b3o4bo3bo$2bo7bo7b2obob2o2bo4bobob2o3bo2b2o2bo2bo4bo$3b3ob3o6bobobo5b2o2bobob2obo2b2o2bo3bo3b3obo$5bobo8b2o12b2o13b2o7b2o! Sure hope some are new x = 8, y = 10, rule = B3/S233b2o$3b2o$2b3o$4bobo$2obobobo$3bo2bo$2bobo2bo$2bo4bo$2bo4bo$2bo!

No football of any dui mauris said that.

83bismuth38

Posts: 453
Joined: March 2nd, 2017, 4:23 pm
Location: Still sitting around in Sagittarius A...

### Re: Oscillator Discoveries Thread

83bismuth38 wrote:four p4 oscillators I found:
x = 57, y = 13, rule = B3/S235bobo17b2o12b2o4b2o7b2o$3b3ob3o5b2o5bobobo2b2o2bob2obobo3bob3o3bo3bo$2bo7bo4bo2b2obob2o4bo3b2obobo5bo4bo2bo2b2o$bob5obobo4b2obobo3bo4b3o5bo12bo3bo$bo3bo3bobo5bo4bob2o8b2o3b2o4b2o3b2o3bo$2obo4b2ob2o3bo2b2obo7b2o3bobobo7b2obo3bo$3bo5bo7b2o5b2o4bo2b2ob2o2bo7b2ob2o$2ob2o4bob2o7bob2o2bo4bobobo3b2o5bo3bob2o$bobo3bo3bo5b2obo4bo4b2o3b2o8bo3b2o3b2o$bobob5obo5bo3bobob2o5bo5b3o4bo3bo$2bo7bo7b2obob2o2bo4bobob2o3bo2b2o2bo2bo4bo$3b3ob3o6bobobo5b2o2bobob2obo2b2o2bo3bo3b3obo$5bobo8b2o12b2o13b2o7b2o!

Sure hope some are new

download jslife, and look through the collection. if it's not there, then it might be worth posting. (I think jslife should be included with golly) Some might have improved stabilisation too.
This post was brought to you by the letter D, for dishes that Andrew J. Wade won't do. (Also Daniel, which happens to be me.)
Current rule interest: B2ce3-ir4a5y/S2-c3-y

drc

Posts: 1664
Joined: December 3rd, 2015, 4:11 pm
Location: creating useless things in OCA

### Re: Oscillator Discoveries Thread

mniemiec wrote:#2 is also known, and is one of the three remaining 20-bit P3s without a known synthesis.

Kazyan wrote:Final step for #2: ... This is one of those "okay, sure, but how do you make that obnoxious still life?" kinds of syntheses.

The good news is, it is doable. Here is a 56-glider synthesis (the "add boat" step can probably be
improved). The bad news is that I misremembered. This USED to be one of the 5 remaining ones that had no syntheses, but Extrementhusiast created a 25-glider synthesis for it on 2015-08-06, and I found a 1-glider improvement on 2016-11-09.
x = 305, y = 155, rule = B3/S23265bo$263boo$236bo27boo$234bobo31bo6bo$235boo31bobo4bobo$268boo5boo3$279bo$279bobo$279boo5$235bobbobo$199bo33bobo3boo$183bo14bo35boo3bo$184bo13b3o$182b3o$$199bo200bo16bo39bo37boo198b3o15bobo37bobo37bo192b3o21bobo37bobo37bobo194bo22boboo36boboo36boboobo193bo3b3o19bo39bo9bo3bo25bobb3o197bo19bobo37bobo10boobobo21bobo198bo18boo38boo10boobboo186boo108bobbo187boo107bobo186bo110bo9230bo230boo229bobo274boo274bobo274bo5boo248b3o29bobo250bo29bo249bo$$240bo$240boo$239bobo$274bo$273boo$273bobo$242boo35bo$241bobo7bo26boo$243bo7boo25bobo$250bobo18$28bo$26boo$bbo24boo$3bo$b3o4$191bo$190bo$190b3o55bo$183bo63bo$66bobo115bo62b3o$67boo113b3o56bobo$44boo21bo6boo28boo28boo28boo28boo28boo16boo10boo28boo$43bobo27bobo27bobo27bobo27bobo27bobo21bo5bobo16bo4bo5bobo21bo5bobo$43bo21boo6bo29bo29bo29bo14bo14bo22bobo4bo22bobo4bo22bobo4bo$42boo22boo4boo28boo28boo28boo9bobbobo13boo23boo3boo23boo3boo22bobo3boo$65bo33boo28boo28boo12boobboo10boo28boo28boo26boboo$bbo37b4o26b4o25bob3o25bob3o25bob3o8bobo14bob3o25bob3o21bo3bob3o25bob3o$3bo4bo30bo3bo25bo3bo29bo29bo29bo29bo29bo19bobo7bo24bo4bo$b3o3bo31boo28boo27bo29bo53bo61boo31bo$7b3o87bobo27bobo52boo93boo$3o94bobo27bobo51bobo$o97bo29bo118bo$bo67boo54boo63boo56bo$69bobo52bobo63bobo53b3o$69bo56bo63bo$248b3o$248bo$249bo14$193bo$192bo$181bo4bo5b3o$182bo4boo9bo6bo$180b3o3boo8boo5boo10bo$197boo5boo9bobo68bo$215boo68bo$285b3o$251b3o27b3o$$14boo28boo28boo28boo28boo28boo21bobo14boo7bo5bobo21bo5bobo21bo5bobo21bo5bobo21bo5bobo21bo5bobo22boo7bo5bobo8b4o17boo28boo28boo6bobo4bo22bobo4bo22bobo4bo22bobo4bo22bobo4bo8bo13bobo4bo16boo6bo7bobo4bo10bo3bo17bo29bo29bo6bobo3boo22bobo3boo22bobo3boo22bobo3boo22bobo3boo7bo14bobo3boo14booboo13bobo3boo10bo21bobo27bobo27bobo7boboo26boboo26boboo26boboo26boboo10b3o13boboo17b4o15boboo14bobbo18boboobo24boboobo24boboobo9bob3o25bob3o25bob3o25bob3o25bob3o25bob3o15boo18bob3o35bobb3o24bobb3o24bobb3o8bo4bo24bo4bo24bo4bo24bo4bo24bo4bo10boo12bo4bo34bo4bo33bobo27bobo27bobo7bo29bo29bo29bo29bo16bobo10bo9b3o27bo9b3o7boo7bo19bo29bo29bo29bo17bo11bo39bo39bobbo26bobbo26bobbo16bobo18b3o27b3o15bo11b3o27b3o27b3o37b3o36bobo27bobo27bobo16boo21bo29bo14bo14bobboo25bobboo25bobboo35bobboo33bo29bo29bo13boo63bobo3b3o15bobo27bobo27bobo17b3o17bobo10b3o12boo60boobboo23bo29bo29bo20bo3bo14bo11bo4b3o7bo59bobobbo103bo4boo7boo17bo6bo67bo112bobo6bobbo5bo74b3o99bo13bobbo10boo68b3o9bo101boo13boo10boo7boo61bo5boo3bo99bobo27bo6boo61bo5boo111boo11boo8bo68bo109bobo10bobobboo179bo5bo12bo3boo178boo26b3obbo179bobo26bo212bo! mniemiec Posts: 974 Joined: June 1st, 2013, 12:00 am ### Re: Oscillator Discoveries Thread If there are oscillators I do want to have found, it's something to extend this series: x = 67, y = 20, rule = LifeHistory10.A2.B12.B11.B10.B14.E8.3A.B7.3A2.B6.3A2.B5.3A2.B14.E.A7.A3.B8.3A.E5.A5.B10.B14.E2.A7.2A.B10.A.E.A4.A4.E5.A4.E14.E3.2A9.B12.E2.A5.A2.E.A4.A3.E.A12.E4.3A.B12.B.2A8.E2.A4.A2.E2.A13.3A7.E12.B11.B.2A7.E3.2A14.A2.A3.E.A22.B10.B.3A.A.2AB.2A21.B10.B4.A.A2.B35.B2A.B2.B.BB23D17.3D17.D.D17.3D2.D19.D17.D.D17.D3D17.3D17.3D17.3DD21.D19.D19.D3D17.3D19.D17.3D! Basically supported by a diagonal string of length N, and no oscillating part is allowed to intrude past that blue line. Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3217 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: Oscillator Discoveries Thread mniemiec wrote:The good news is, it is doable. Here is a 56-glider synthesis (the "add boat" step can probably be improved). The bad news is that I misremembered. This USED to be one of the 5 remaining ones that had no syntheses, but Extrementhusiast created a 25-glider synthesis for it on 2015-08-06, and I found a 1-glider improvement on 2016-11-09. x = 305, y = 155, rule = B3/S23265bo263boo236bo27boo234bobo31bo6bo235boo31bobo4bobo268boo5boo3279bo279bobo279boo5235bobbobo199bo33bobo3boo183bo14bo35boo3bo184bo13b3o182b3o$$199bo$200bo16bo39bo37boo$198b3o15bobo37bobo37bo$192b3o21bobo37bobo37bobo$194bo22boboo36boboo36boboobo$193bo3b3o19bo39bo9bo3bo25bobb3o$197bo19bobo37bobo10boobobo21bobo$198bo18boo38boo10boobboo$186boo108bobbo$187boo107bobo$186bo110bo9$230bo$230boo$229bobo$274boo$274bobo$274bo5boo$248b3o29bobo$250bo29bo$249bo$$240bo240boo239bobo274bo273boo273bobo242boo35bo241bobo7bo26boo243bo7boo25bobo250bobo1828bo26boobbo24boo3bob3o4191bo190bo190b3o55bo183bo63bo66bobo115bo62b3o67boo113b3o56bobo44boo21bo6boo28boo28boo28boo28boo28boo16boo10boo28boo43bobo27bobo27bobo27bobo27bobo27bobo21bo5bobo16bo4bo5bobo21bo5bobo43bo21boo6bo29bo29bo29bo14bo14bo22bobo4bo22bobo4bo22bobo4bo42boo22boo4boo28boo28boo28boo9bobbobo13boo23boo3boo23boo3boo22bobo3boo65bo33boo28boo28boo12boobboo10boo28boo28boo26boboobbo37b4o26b4o25bob3o25bob3o25bob3o8bobo14bob3o25bob3o21bo3bob3o25bob3o3bo4bo30bo3bo25bo3bo29bo29bo29bo29bo29bo19bobo7bo24bo4bob3o3bo31boo28boo27bo29bo53bo61boo31bo7b3o87bobo27bobo52boo93boo3o94bobo27bobo51boboo97bo29bo118bobo67boo54boo63boo56bo69bobo52bobo63bobo53b3o69bo56bo63bo248b3o248bo249bo14193bo192bo181bo4bo5b3o182bo4boo9bo6bo180b3o3boo8boo5boo10bo197boo5boo9bobo68bo215boo68bo285b3o251b3o27b3o$$14boo28boo28boo28boo28boo28boo21bobo14boo$7bo5bobo21bo5bobo21bo5bobo21bo5bobo21bo5bobo21bo5bobo22boo7bo5bobo8b4o17boo28boo28boo$6bobo4bo22bobo4bo22bobo4bo22bobo4bo22bobo4bo8bo13bobo4bo16boo6bo7bobo4bo10bo3bo17bo29bo29bo$6bobo3boo22bobo3boo22bobo3boo22bobo3boo22bobo3boo7bo14bobo3boo14booboo13bobo3boo10bo21bobo27bobo27bobo$7boboo26boboo26boboo26boboo26boboo10b3o13boboo17b4o15boboo14bobbo18boboobo24boboobo24boboobo$9bob3o25bob3o25bob3o25bob3o25bob3o25bob3o15boo18bob3o35bobb3o24bobb3o24bobb3o$8bo4bo24bo4bo24bo4bo24bo4bo24bo4bo10boo12bo4bo34bo4bo33bobo27bobo27bobo$7bo29bo29bo29bo29bo16bobo10bo9b3o27bo9b3o$7boo7bo19bo29bo29bo29bo17bo11bo39bo39bobbo26bobbo26bobbo$16bobo18b3o27b3o15bo11b3o27b3o27b3o37b3o36bobo27bobo27bobo$16boo21bo29bo14bo14bobboo25bobboo25bobboo35bobboo33bo29bo29bo$13boo63bobo3b3o15bobo27bobo27bobo17b3o17bobo10b3o$12boo60boobboo23bo29bo29bo20bo3bo14bo11bo$4b3o7bo59bobobbo103bo4boo7boo17bo$6bo67bo112bobo6bobbo$5bo74b3o99bo13bobbo10boo$68b3o9bo101boo13boo10boo$7boo61bo5boo3bo99bobo27bo$6boo61bo5boo111boo11boo$8bo68bo109bobo10bobo$bboo179bo5bo12bo$3boo178boo26b3o$bbo179bobo26bo$212bo! Much better! If nothing else, it demonstrates the difference between Extrementhusiast's "sensible black magic" and my own "this cell has a fever and the only cure is more scaffolding" styles. Tanner Jacobi Kazyan Posts: 777 Joined: February 6th, 2014, 11:02 pm ### Re: Oscillator Discoveries Thread Kazyan wrote: mniemiec wrote:The good news is, it is doable. Here is a 56-glider synthesis (the "add boat" step can probably be improved). The bad news is that I misremembered. This USED to be one of the 5 remaining ones that had no syntheses, but Extrementhusiast created a 25-glider synthesis for it on 2015-08-06, and I found a 1-glider improvement on 2016-11-09. RLE Much better! If nothing else, it demonstrates the difference between Extrementhusiast's "sensible black magic" and my own "this cell has a fever and the only cure is more scaffolding" styles. Not always: x = 366, y = 43, rule = B3/S23193bo$192bo91bo$192b3o71bo16bo$267bo15b3o$260bo4b3o$261b2o$260b2o6bo18bo60bo$268b2o16bo59bobo$267bobo16b3o58b2o3bo$88bo262bo$82bobo4b2o164bo95b3o$83b2o3b2o10bobo4bobo60bo85b2o$83bo19bo3b2o59b2o10bo74b2o$103bo4bo60b2o7b2o158b2ob2o3b2o$88bo11bo2bo75b2o72bo85bobobo2b2o$86bobo12b3o79bo70bo84bo3bo$87b2o5b2o12bo74bobo66b3o17b2o66b3o3b2o$2bobo25bobo61b2o11bo75b2o86bobo64bobo5bo10bo$3b2o5b2o3bobobo3b2o5b2o51bo23b3o60b2o99bo66b2o7bo9bobo$3bo6bobobob3obobobo6bo44bobo4b2o74b3o4b2o2bo15bo83b2o76bo8b2o$5bo6bobo5bobo6bo47b2o3bobo8b2o66bo4b2o3b3o12bobo80bo4bo74bo$5b2o4b2obob3obob2o4b2o47bo14bo2bo2b2o4bo55bo12bo4bo7b2o82b5o75bo$4bobo5bo2bo3bo2bo5bobo62bo2bo2bo3bobo70b3o105bo66bobo$10bobo3b3o3bobo69b2ob2o5bo62b2ob2o3bo94b2ob2o8bobo46bo12b3o4b2o$bo8b2o11b2o8bo56b2o3bobo3b3o8bo44b3o8bobobo3bo6b3o85bobo2b2o5bo2bo45b2o11bo$b2o13b3o13b2o55bo2bo2bo2bo2bo9bo47bo8bo2bobo3bo4b3o86bo2bobo7b2o45bobo12bo$obo12bo3bo12bobo54b2obo3bob3o10b3o44bo10bobobo4bo93bobobo$14bobobobo62b2o7b2o3bo9b2o61b2ob2o4bo89b3obobo73b3o$15b2ob2o64b2o6bo5b3o6bobo70bo87bo2bo2bo74bo13b3o$83bo9b3o5bo5bo73bo86bo2bo78bo12bo$15b2ob2o75bo4bo72b2o7bo7bo78b2o93bo$9bo5b2ob2o5bo60b2o12bobo70b2o8bo6bobo155b2o$9b2o13b2o61b2o12b2o13b2o66bo5b2o157b2o$8bobo13bobo59bo29bobo54b2o8b2o163bo4bo$13bo7bo73b2o19bo56b2o119bo57b2o$13b2o5b2o74b2o90b2o3bo56b2o41b2o57bobo$12bobo5bobo72bo3b2o78bo9b2obo58b2o40bobo$98b2o68bo10b2o7bo3b3o55bo$100bo67b2o8bobo$167bobo$bo31bo60b2o$b2o29b2o61b2o$obo29bobo59bo! I Like My Heisenburps! (and others) Extrementhusiast Posts: 1735 Joined: June 16th, 2009, 11:24 pm Location: USA ### Re: Oscillator Discoveries Thread drc wrote:I think jslife should be included with golly It is, in the Online Archives. Actually packaging all the files with Golly would be too much, in my opinion. gameoflifeboy Posts: 474 Joined: January 15th, 2015, 2:08 am ### Re: Oscillator Discoveries Thread Perhaps slightly more glider-constructible variant of a one-side-open-emulator: x = 70, y = 36, rule = B3/S2322bo$20b2o$21b2o3$b2o$2bo$2bobo$3b2o50b2o4bo$13bo41b2o3bobo$11b2o48bo$7b2o3b2o$6bo2bo$7bobo38b2o2b2o$8bo39b2o2b2o3$7bo44bo$2b2obo3bo37b2obo3bo$2bo44bo$3b2o43b2o$3o2b7o33b3o2b7o$o2bo6b2o33bo2bo6b2o$b2o8b2o33b2o8b2o$12bo44bo10bo$67b2o$11bobo42bobo8bobo$11bo2bo41bo2bo$14bo44bo2$10b2o2b4o2b2o33b2o2b4o2b2o$10bo2b6o2bo33bo2b6o2bo$11b10o35b10o$8b3o10b3o29b3o10b3o$8bo2bo8bo2bo29bo2bo8bo2bo$9b2o10b2o31b2o10b2o! Of course, the best part is that they're extensible. EDIT: I cut down 3 rows from David Eppstein's short and wide p4 HW emulator(A6 on jslife/o0004-spark2) (but made 3 rows wider in both directions) Left: the original, Right: optimized x = 26, y = 16, rule = B3/S2310b2o$8bo4bo$2b2o$2b2o3bo6bo3bo2bo$6bob6obo2b4o$8o6b4o4b2o$o6bobo2bobo4b3o2bo$2bo3bo2b4o2bo2b2obobo$b2o4bo6bobo3bo2b2o$4b2obob4obob4o2bo2bo$b4obobo4bobo4b2o2bo$o2bobo2bob2obo3bobo2b2o$2o6bobob2o2b2ob2o$8bo$6bobo$6b2o!
Here's the new oscillator by itself:
x = 30, y = 13, rule = B3/S2314b2o$12bo4bo2$4bo2bo3bo6bo3bo2bo$4b4o2bob6obo2b4o$2b2o4b4o6b4o4b2o$bo2b3o4bobo2bobo4b3o2bo$2bobob2o2bo2b4o2bo2b2obobo$b2o2bo3bobo6bobo3bo2b2o$o2bo2b4obob4obob4o2bo2bo$bo2b2o4bobo4bobo4b2o2bo$2b2o2bobobobob2obobobobo2b2o$5b2ob2o3bob2o3b2ob2o! EDIT2: Started micro-optimizing small oscillators with ofind. Here's a slightly reduced p16 in jslife: x = 73, y = 42, rule = B3/S2322bo39bo$22b2o38b2o$21b2obo36b2obo$20bo2b3o34bo2b3o$19bobobo35bobobo$18bobobo35bobobo$16b3o2bo34b3o2bo$17bob2o36bob2o$18b2o11b2o25b2o11b2o$19bo10bobo26bo10bobo$28b3o37b3o$17bo6b2obo3bo25bo6b2obo3bo$16bobo3bo5bob2o24bobo3bo5bob2o$9b3o3b2ob2o2bo5bo20b3o3b2ob2o2bo5bo$8bob3o3bobo3bo5bob2o16bob3o3bobo3bo5bob2o$8b2ob2o4bo6b2obo3bo16b2ob2o4bo6b2obo3bo$28b3o37b3o$30bobo37bobo$31b2o38b2o2$16bo39bo$10b2o3bobo32b2o3bobo$9b3o2b2ob2o30b3o2b2ob2o$6b2o2b2o3bobo28b2o2b2o3bobo$9b2o5bo32b2o5bo$6bo2bo36bo2bo$5bo2b2o35bo2b2o$2b2o2b3o10b3o20b2o2b3o10b3o$2bob2o2bo8bob3o20bob2o2bo8bob3o$obobo7b2o2bobobo23bo11bobobo$2obob2o3bo2bo2bo2bo20b4ob2o3bo5bo2bo$3bo4b2ob2o4b2o21bo2bo4b2obo5b2o$3bobob3obo31bobob3obo$2b2ob2o4bo29bobob2o4bob2o$bo2bo3b2obob2o26b2obo3b2obobo$b2obobo5bobo29bobo4bobo$2bobobobob2o32bobob2obob2o$2bob2ob3o35b2obo2bo$3bo7b3o36b2o$4b7o2bo$2bobo2bo2bo$2b2o! EDIT3: I never realized that these two oscillators shared the same component! (A7(that half-open HWSS emuator) and B5 in jslife/p0004-spark2) x = 19, y = 35, rule = B3/S234b2o$4bobo$b2obobo$bobobo$3bo$bo2bo$4bo10b2o$o3bo5b2o2bo2bo$o3bo5bobo2b3o$4bo6b4o$bo2bo10bo$4b2o3b2o2b3o$4b3o2b2obo$6b2obo3b2obo$10b2obob2o$12bo$9bobo$9b2o4$b3o$2bob2o$4b3o3bo$6b2obobo$9b3o$9b2o$10bo$9bobobo$8bo2bo2bo$8b4o3bob2o$12b2ob2obo$10bo3bo$10b2obo2b2o$14b2obo!
Of course, the maybe-more-constructible HWSS emulator hack also works here, although it doesn't bring any optimizations. (Perhaps this would help building that seemingly-glider-friendly p4 on the beginning of the post?)
x = 16, y = 18, rule = B3/S2314bo$13b2o$14bo$12b2o$12b2o$11b2o$11bo2$10bobo$9bo2bo$9bo2$2b2o2b4o2b2o$2bo2b6o2bo$3b10o$3o10b3o$o2bo8bo2bo$b2o10b2o! Edit4: which optimizes this variant of the p40 shuttle. (Which isn't much, as using figure-8s is much smaller...) x = 41, y = 31, rule = B3/S237b2o7b2o11b2o7b2o$7bo2b2ob2o2bo2b2o3b2o2bo2b2ob2o2bo$8b2obobob2o3bobobobo3b2obobob2o$9bobobobo6bobo6bobobobo$9bo5bo5b2ob2o5bo5bo$10bo3bo17bo3bo$11b3o19b3o2$12bo6b3o3b3o6bo$11b3o5bobo3bobo5b3o$19b3o3b3o3$13bo19bo$12b2o19b2o$13bo19bo$11b2o21b2o$11b2o21b2o$10b2o23b2o$10bo10b2ob2o10bo$4b2o16bobo$4bobob3o9bobobobo7b3o2b2o$b2obo2b3obo8b2o3b2o3b2o2b2obo2bo$bo2b3o2b2o19bobo4bobo$3bo27b2o2bo2bo$bobo2bo25bobob2o$obo2bo24bobobobo$o2b2o24bobob2o2bo$bobo25bobo4b2o$2o2bo25b2o$3b2o!
Best wishes to you, Scorbie

Scorbie

Posts: 1368
Joined: December 7th, 2013, 1:05 am

### Re: Oscillator Discoveries Thread

Sorry for serial posting... I guess this deserves its own post. Here's the p20 gun cut down by 3(EDIT: 4) rows.
x = 70, y = 40, rule = B3/S2335bobo$35b2obob2o$38b2obo$35b2o$35bob4o$37bo3bo$37bob2obob2o$28b2o7bo4bob2o$27bo2bo6b2o3bo8b2obo$26bo2bo11bob3o4bobob3o11b2o$23bo2b3ob2o5b2o3bo2bo3bo2bo4bo9bobo$15bob2o4b3o3b3o5bo2bo3bo5b3o3bo3bo2b2o2bo$2o11b3obobo6b2o2b2o5bobob3o11bob6o3b2o$obo9bo4bo2bo2b4o10bo3bo6b8o4b3o$2bo3bo4bobo3b3o3bo3bo7b2o3bo7bo7b3o2bo2bob2o$2b2ob2o5bobo9b2o2bo6b2obo11bo2b2o2b2o3b5obo$5bob4o3b8o4b2o2bo5bo2bo9b2o4bo5bo6bo$2b2o4b6o3bo3bo4b3obo6b3o9bo4b2o6b6o$bob2obo7bobob2o10b2o3b3o12bo3bobo6bo$bo6bo3bo3b2ob2o14bo10b2o2b2obo2bobo2bo4b2o$2b6o8bo4bo8b2o7bo5bo4bob2o4bo2b2o3b2o$6bo5bobo4b4o14bo2bo4bo3bobo2b4o$2b2o4bo2bo2bobob2ob2o7b3o2b3ob3o3bo3bo3bo$2b2o3b2o2bo4b2ob2obo13bobobo4bo3bobo2b4o$12b4o2bo3bo3b3o5b6o5bo4bob2o4bo2b2o3b2o$16b2o2bobo4b2o5bo3bo7b2o2b2obo2bobo2bo4b2o$12b4o2bo3bo3b3o5bo15bo3bobo6bo$2b2o3b2o2bo4b2ob2obo15bo10bo4b2o6b6o$2b2o4bo2bo2bobob2ob2o8b2o6bo9b2o4bo5bo6bo$6bo5bobo4b4o14b3o10bo2b2o2b2o3b5obo$2b6o8bo4bo26bo7b3o2bo2bob2o$bo6bo3bo3b2ob2o8bo2bo15b8o4b3o$bob2obo7bobob2o7bo2b2o2bo8bo11bob6o3b2o$2b2o4b6o3bo3bo5bo2b2o2bo9bo5b3o3bo3bo2b2o2bo$5bob4o3b8o7b4o9b3o4bo2bo4bo9bobo$2b2ob2o5bobo12bobo2bobo15bobob3o11b2o$2bo3bo4bobo3b3o7b2o4b2o16b2obo$obo9bo4bo2bo27bo$2o11b3obobo29bo$15bob2o28b3o! The left taller p4 is really hard to optimize... Perhaps there is a p5 with a similar functionality. EDIT Actually, now I think there's still a LOT of room for optimization (Look at the drastic reduction of the oscillator on the left... ) WLS/JLS wizards might wanna optimize the p4s over there. Best wishes to you, Scorbie Scorbie Posts: 1368 Joined: December 7th, 2013, 1:05 am ### Re: Oscillator Discoveries Thread Nice work, there! We see these large P3s, p4s, and p5s all over the place, but I always assumed that they indeed had to be that big. But now there are better options. The glider-friendly emulator variants still look tricky to construct at first glance, simply because the emulator's own spark gets in the way of the attachment. So the attachments might have to be synthesized at the same time as the emulator...hmm. Tanner Jacobi Kazyan Posts: 777 Joined: February 6th, 2014, 11:02 pm ### Re: Oscillator Discoveries Thread Kazyan wrote:Nice work, there! We see these large P3s, p4s, and p5s all over the place, but I always assumed that they indeed had to be that big. But now there are better options. Ah, thanks! I also assumed that they are optimized out till the last cell, but no, there are some low-hanging roughly optimized fruits there in the collection. I was surprised to find out that some of the harder-looking ones had a lot of room for optimization, and the easy-looking ones were quite hard and needed bulky stabilizations. You never know until you actually do a search... I think ofind is quite a useful tool for optimizing known oscillators, as it prints out the shortest oscillator if it exists. (But typically a search can only be vertical, so the search space is limited.) Kazyan wrote:The glider-friendly emulator variants still look tricky to construct at first glance, simply because the emulator's own spark gets in the way of the attachment. So the attachments might have to be synthesized at the same time as the emulator...hmm. I was thinking about making the emulator first, and then synthesize some junk that "evolves" into the p4 part "with the help of" the domino spark of the HW emulator. But I haven't looked into glider syntheses before, so... yeah. Best wishes to you, Scorbie Scorbie Posts: 1368 Joined: December 7th, 2013, 1:05 am ### Re: Oscillator Discoveries Thread Scorbie wrote:]I was thinking about making the emulator first, and then synthesize some junk that "evolves" into the p4 part "with the help of" the domino spark of the HW emulator. But I haven't looked into glider syntheses before, so... yeah. The emulator's spark does allow for the activation of some key cells here, though I would normally try to reduce the active part of the oscillator to something that looks easier to build: x = 48, y = 39, rule = LifeHistory13.2A$13.3A$12.A.A$12.ABA$12.2B$11.ABA$11.2A$11.A$10.BAB$9.3AB26.2A$8.2D28.2D$7.A.A27.2A$2.2A.A4BA.2A18.2A.A3B.A.2A$2.A2.6B2.A18.A2.5B3.A$3.2A6B2A20.2A6B2A$3A2.6A2.3A14.3A2.6A2.3A$A2.A8.A2.A14.A2.A8.A2.A$.2A10.2A16.2A10.2A10$47.A$5.ABA17.ABA17.A$4.A2BA16.A2BA17.A$4.A.B17.A.B18.A$4.3B17.3B18.2B$4.2A18.2A18.2A$3.A2B17.A2B17.A2B$2.2AB17.2AB17.2AB$2.2A18.2A18.2A$2.B2A17.B2A17.B2A$.B2AB15.4AB15.4AB$2C!

The issue for me is that the spark is in the way and I can't tell it to hold its horses until necessary, and it would be helpful if I could put a lot of baits and such where I need to build that tilted totem pole of cells. (This is one of the kinds of synthesis problems I do not know how to approach yet.)
Tanner Jacobi

Kazyan

Posts: 777
Joined: February 6th, 2014, 11:02 pm

### Re: Oscillator Discoveries Thread

Kazyan wrote:The issue for me is that the spark is in the way and I can't tell it to hold its horses until necessary, and it would be helpful if I could put a lot of baits and such where I need to build that tilted totem pole of cells. (This is one of the kinds of synthesis problems I do not know how to approach yet.)
Aha, I see... I guess we would have to wait a little to see p4 bumpers constructed... (That seemed to be what dvgrn was hoping for...)

Here's a less clear but smaller p7 pipsquirter.
x = 17, y = 16, rule = B3/S238bo$2b2o4bo4b2o$bo2bo7bo2bo$bobo2bo3bo2bobo$2bob3o3b3obo$obo4b3o4bobo$2obobo5bobob2o$3bo3bobo3bo$3bo3bobo3bo$bobobo5bobobo$obo3b5o3bobo$o2b2o3bo3b2o2bo$b2o2b3ob3o2b2o$3bobobobobobo$3bo2bo3bo2bo$4b2o5b2o! Best wishes to you, Scorbie Scorbie Posts: 1368 Joined: December 7th, 2013, 1:05 am ### Re: Oscillator Discoveries Thread Scorbie wrote:Here's a slightly reduced p16 in jslife: rle ... x = 32, y = 34, rule = B3/S2321bo2$19b3obo$18bob2o$18b2obo$16bob3o2$18bo11b2o$29bobo$27b3o$26bo3bo$15bo6bo2bo2b3o$11b2ob3o5b2obo$11bo5bo4bo2bo2b3o$12b3o11bo3bo$13b2o12b3o$2o27bobo$obo27b2o$2b3o12b2o$bo3bo11b3o$b3o2bo2bo4bo5bo$6bob2o5b3ob2o$b3o2bo2bo6bo$bo3bo$2b3o$obo$2o11bo2$11b3obo$10bob2o$10b2obo$8bob3o2$10bo!

Is it one of those oscs that combines two different stabilizations to showcase both of them?
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

BlinkerSpawn

Posts: 1823
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

### Re: Oscillator Discoveries Thread

BlinkerSpawn wrote:Is it one of those oscs that combines two different stabilizations to showcase both of them?
Whoops, yeah! So another not very meaningful optimization, but still, it's better than nothing!

EDIT: Here's the oscillator in jslife/p00010 optimized:
x = 61, y = 61, rule = B3/S2327bo2bo2bo$27b7o2$27b7o$26bo7bo$26b2ob3ob2o$29bobo$26b4ob4o$26bo7bo$27bobobobo2$22b2o3b2obob2o3b2o$21bo2bo4bobo4bo2bo$20bobobo11bobobo$20bobob2o9b2obobo$21b2o4bo5bo4b2o$23b3obobobobob3o$23bo6bo6bo$24bobobobobobobo$25b2obobobob2o$13b2o31b2o$12bo2bo13b3o13bo2bo$11bob3o13bobo13b3obo$11bo4b2o10bo3bo10b2o4bo$12b3obobo10bobo10bobob3o$14bobo2bo7bo5bo7bo2bobo$4b2ob2o9b2o7b7o7b2o9b2ob2o$2obobobobobo3b2o8b2o7b2o8b2o3bobobobobob2o$bobo3bo3bo6b2o3bo2bo2b3o2bo2bo3b2o6bo3bo3bobo$bobob3obo2bo3bo4b2obobobobobobobob2o4bo3bo2bob3obobo$2obobo5bo5b3obo4bob2ob2obo4bob3o5bo5bobob2o$bobob3obo2bo3bo4b2obobobobobobobob2o4bo3bo2bob3obobo$bobo3bo3bo6b2o3bo2bo2b3o2bo2bo3b2o6bo3bo3bobo$2obobobobobo3b2o8b2o7b2o8b2o3bobobobobob2o$4b2ob2o9b2o7b7o7b2o9b2ob2o$14bobo2bo7bo5bo7bo2bobo$12b3obobo10bobo10bobob3o$11bo4b2o10bo3bo10b2o4bo$11bob3o13bobo13b3obo$12bo2bo13b3o13bo2bo$13b2o31b2o$25b2obobobob2o$24bobobobobobobo$23bo6bo6bo$23b3obobobobob3o$21b2o4bo5bo4b2o$20bobob2o9b2obobo$20bobobo11bobobo$21bo2bo4bobo4bo2bo$22b2o3b2obob2o3b2o2$27bobobobo$26bo7bo$26b4ob4o$29bobo$26b2ob3ob2o$26bo7bo$27b7o2$27b7o$27bo2bo2bo!
cf) I assume it was found in an agar; Here's the agar version:
x = 81, y = 81, rule = B3/S2327bo2bo2bo13bo2bo2bo$27b7o13b7o2$27b7o13b7o$26bo7bo11bo7bo$26b2ob3ob2o11b2ob3ob2o$29bobo17bobo$26b4ob4o11b4ob4o$26bo7bo11bo7bo$27bobobobo6bo6bobobobo$38b5o$22b2o3b2obob2o3bo5bo3b2obob2o3b2o$21bo2bo4bobo4bob2ob2obo4bobo4bo2bo$20bobobo11bobo3bobo11bobobo$20bobob2o9b2obo3bob2o9b2obobo$21b2o4bo5bo4b2ob2o4bo5bo4b2o$23b3obobobobob3o5b3obobobobob3o$23bo6bo6bo5bo6bo6bo$24bobobobobobobo7bobobobobobobo$25b2obobobob2o9b2obobobob2o$13b2o51b2o$12bo2bo13b3o17b3o13bo2bo$11bob3o13bobo17bobo13b3obo$11bo4b2o10bo3bo15bo3bo10b2o4bo$12b3obobo10bobo17bobo10bobob3o$14bobo2bo7bo5bo13bo5bo7bo2bobo$4b2ob2o9b2o7b7o13b7o7b2o9b2ob2o$2obobobobobo3b2o8b2o7b2o9b2o7b2o8b2o3bobobobobob2o$bobo3bo3bo6b2o3bo2bo2b3o2bo2bo5bo2bo2b3o2bo2bo3b2o6bo3bo3bobo$bobob3obo2bo3bo4b2obobobobobobobob2ob2obobobobobobobob2o4bo3bo2bob3obobo$2obobo5bo5b3obo4bob2ob2obo4bobo4bob2ob2obo4bob3o5bo5bobob2o$bobob3obo2bo3bo4b2obobobobobobobob2ob2obobobobobobobob2o4bo3bo2bob3obobo$bobo3bo3bo6b2o3bo2bo2b3o2bo2bo5bo2bo2b3o2bo2bo3b2o6bo3bo3bobo$2obobobobobo3b2o8b2o7b2o9b2o7b2o8b2o3bobobobobob2o$4b2ob2o9b2o7b7o13b7o7b2o9b2ob2o$14bobo2bo7bo5bo13bo5bo7bo2bobo$12b3obobo10bobo17bobo10bobob3o$11bo4b2o10bo3bo15bo3bo10b2o4bo$10bob4o13bobo17bobo13b4obo$10bobo2bo13b3o17b3o13bo2bobo$9b2o59b2o$10bobo2bo13b3o17b3o13bo2bobo$10bob4o13bobo17bobo13b4obo$11bo4b2o10bo3bo15bo3bo10b2o4bo$12b3obobo10bobo17bobo10bobob3o$14bobo2bo7bo5bo13bo5bo7bo2bobo$4b2ob2o9b2o7b7o13b7o7b2o9b2ob2o$2obobobobobo3b2o8b2o7b2o9b2o7b2o8b2o3bobobobobob2o$bobo3bo3bo6b2o3bo2bo2b3o2bo2bo5bo2bo2b3o2bo2bo3b2o6bo3bo3bobo$bobob3obo2bo3bo4b2obobobobobobobob2ob2obobobobobobobob2o4bo3bo2bob3obobo$2obobo5bo5b3obo4bob2ob2obo4bobo4bob2ob2obo4bob3o5bo5bobob2o$bobob3obo2bo3bo4b2obobobobobobobob2ob2obobobobobobobob2o4bo3bo2bob3obobo$bobo3bo3bo6b2o3bo2bo2b3o2bo2bo5bo2bo2b3o2bo2bo3b2o6bo3bo3bobo$2obobobobobo3b2o8b2o7b2o9b2o7b2o8b2o3bobobobobob2o$4b2ob2o9b2o7b7o13b7o7b2o9b2ob2o$14bobo2bo7bo5bo13bo5bo7bo2bobo$12b3obobo10bobo17bobo10bobob3o$11bo4b2o10bo3bo15bo3bo10b2o4bo$11bob3o13bobo17bobo13b3obo$12bo2bo13b3o17b3o13bo2bo$13b2o51b2o$25b2obobobob2o9b2obobobob2o$24bobobobobobobo7bobobobobobobo$23bo6bo6bo5bo6bo6bo$23b3obobobobob3o5b3obobobobob3o$21b2o4bo5bo4b2ob2o4bo5bo4b2o$20bobob2o9b2obo3bob2o9b2obobo$20bobobo11bobo3bobo11bobobo$21bo2bo4bobo4bob2ob2obo4bobo4bo2bo$22b2o3b2obob2o3bo5bo3b2obob2o3b2o$38b5o$27bobobobo6bo6bobobobo$26bo7bo11bo7bo$26b4ob4o11b4ob4o$29bobo17bobo$26b2ob3ob2o11b2ob3ob2o$26bo7bo11bo7bo$27b7o13b7o2$27b7o13b7o$27bo2bo2bo13bo2bo2bo!

EDIT2: Here's the optimizations using the new pipsquirter... there are some more to optimize on p21 and up...
x = 134, y = 34, rule = B3/S23109b2o$107b3o5b2o$106bo4bo2bo2bo$102b2obob4obo2bobo$103bobobo4b3o2b2o$103bobo2bob2o5bo$99b2ob2ob2obo2bob3obo3bo$99bo4b2o3b2o3bob2ob3o$2o3b2o3b2o12b2o3b2o24b2o3b2o17b2o3b2o14b3o3b3o2b2obo3bo$bo3b2o3b2o11bo2bo2bo2b2o18b2o2bo2bo2bo15bo2bo2bo2b2o13bobobo2bo2bob2obo2b4o4b2o$o22bobo4b2o2bo16bo2b2o4bobo15bobo4b2o2bo13b3o3b2o7b2o4bo2bo2bo$2o3b2o3b2o9b2obob4o2bobo16bobo2b4obob2o11b2obob4o2bobo14bo14bo2b2o4bobo$5bobobobo8bo3bo6bobo18bobo6bo3bo9bo3bo6bobo30bobo2b4obob2o$2o5bobo10bob2o2bo2bobo22bobo2bo2b2obo9bob2o2bo2bobo33bobo6bo3bo$bo4b2obo11bobobo5b2o5b2o6b2o5b2o5bobobo11bobobo5b2o5b2o6b2o19bobo2bo2b2obo$o9b2o10b2obob2obo6bo2bo4bo2bo6bob2obob2o13b2obob2obo6bo2bo4bo2bo2b2o6b2o5b2o5bobobo$2o9bo12b2o4bo3b2obo2bo4bo2bob2o3bo4b2o17b2o4bo3b2obo2bo4bo2bobo2bo4bo2bo6bob2obob2o$10bo11b2obob2obo6bo2bo4bo2bo6bob2obob2o13b2obob2obo6bo2bo4bo2bobo2bo4bo2bob2o3bo4b2o$2o8b2o9bobobo5b2o5b2o6b2o5b2o5bobobo11bobobo5b2o5b2o6b2o2bo2bo4bo2bo6bob2obob2o$bo9bo8bob2o2bo2bobo22bobo2bo2b2obo9bob2o2bo2bobo19b2o6b2o5b2o5bobobo$o9bo9bo3bo6bobo18bobo6bo3bo9bo3bo6bobo33bobo2bo2b2obo$2o8b2o9b2obob4o2bobo16bobo2b4obob2o11b2obob4o2bobo30bobo6bo3bo$23bobo4b2o2bo16bo2b2o4bobo15bobo4b2o2bo14bo14bobo2b4obob2o$23bo2bo2bo2b2o18b2o2bo2bo2bo15bo2bo2bo4b2o7b2o3b3o13bo2b2o4bobo$24b2o3b2o24b2o3b2o17b2o4b4o2bob2obo2bo2bobobo13b2o2bo2bo2bo$90bo3bob2o2b3o3b3o14b2o3b2o$87b3ob2obo3b2o3b2o4bo$87bo3bob3obo2bob2ob2ob2o$91bo5b2obo2bobo$90b2o2b3o4bobobo$91bobo2bob4obob2o$91bo2bo2bo4bo$92b2o5b3o$98b2o! Best wishes to you, Scorbie Scorbie Posts: 1368 Joined: December 7th, 2013, 1:05 am ### Re: Oscillator Discoveries Thread Further reduction to the HW emulator: x = 28, y = 13, rule = B3/S2313b2o$11bo4bo$4b2o16b2o$3bo2bo3bo6bo3bo2bo$2bob3o2bob6obo2b3obo$2bo4b4o6b4o4bo$2ob3o4bobo2bobo4b3ob2o$bobob2o2bo2b4o2bo2b2obobo$o3bo3bobo6bobo3bo3bo$b2o2b4obob4obob4o2b2o$3b2o4bo2bo2bo2bo4b2o$3bo2bo2bobo4bobo2bo2bo$5b2o3bo6bo3b2o! LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1823 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Oscillator Discoveries Thread A few p4s and p6s that may or may not be new: x = 35, y = 111, rule = B3/S236bo$4b2obo$2bobo2bo$2b3o2bob2o$3b2ob2ob2o$4bo$3bo2b2ob2o$b3o3bob2o$2bobo2bo$3b3obo$5b2o5$4bo3b2o$4b2obobo$2b2o$3o3bob4o$3bo2bobo2bo$2obo2bo$2obo2bobo2bo$8b4o$2b2o2b2o$7bobo$4b2o2b2o5$20bo$3bo4bo4bo6bo2b3o$2ob2o3b2o4b2o6b3o$o7bobo4bobobob2o2bob2o$bob5o2bo2bobo2bo2b5obo$2obo2b2obobobo4bobo7bo$4b3o6b2o4b2o3b2ob2o$3b3o2bo6bo4bo4bo$8bo5$21b2o$4bo4bo4bo5bo2bo$b2ob2o3b2o4b2o4bobo$bo7bobo4bob2obob2o$2bob5o2bo2bobo2bobo$b2obo2b2obobobo6bob2o$5b3o6b2o5bobo$4b3o2bo6bo3bo2bo$9bo11b2o3$3b2o11b2o$2bo2bo3bo5bo2bo$2bobo5b2o4bobo$b2obo6bob2obob2o$4bobo2bobo2bobo$b2obob2obo6bob2o$2bobo4b2o5bobo$2bo2bo5bo3bo2bo$3b2o11b2o4$3bo10bo$3b2o7b5o$2bo2bo6bo3bo$2b3obo3bob4o$6b6o$2b4obo3bob3o$bo3bo6bo2bo$b5o7b2o$3bo10bo3$3bo26b2o$4bo2b3o5b3ob2o2bo5bobo$o3b2o9b4obobob2o2bo$o5bobobob2o6bob3o3b6o$bob3obo2bo3b4o4bo11bo$2obo6bo6b3o2bob10o$b3o4b2o6bo$3bo3bo6bobo2b2ob3o4bobo$15bo3b2ob2o6b2o4$11bo13b2o$b2o7bo3b3ob2o4bobo$bo7b2o2bobobo2bo2bo$2b3o3bo4b2o2bob2o2b6o$5b2ob5obo2bo3bo7bo$2b2obo7bo4bob9o$bo2b2o4b2o3b3o3b2o$b2o8bo2b2obobo6bo$10bo3b2obobo5b2o5$11b2ob2o6bo$b2o7bo6b2o2bo8b2o$bo7b2o4bob2obobo4b2o2bo$2b3o3bo10bobo5bob2o$5b2ob3ob9ob3ob2o$2b2obo5bobo10bo3b3o$bo2b2o4bobob2obo4b2o7bo$b2o8bo2b2o6bo7b2o\$10bo6b2ob2o!
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

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Aidan F. Pierce

A for awesome

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