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

I messed with lwss producing fireship-constructions and found this c10 lwss side rake, witch corresponds with a cordership (eating the lwss)
There are some non destroying interactions between lwss and cordership leaving some objekts behind, This combined with this c10 rake results in different forms of puffers.
x = 61, y = 66, rule = B3/S2314b2o$14b2o5$14b2o$13bobo$6b2o4b2o$6b2o6bo$14bobo$16b2o$15bo$19bo38b2o$19b2o36b3o$18bo2bo35b2obo$3bobo14b2o36b3o$3bo2bo11bobo38bo$2b2o2bo11b3o$2ob3o$o2bo$18bo$19bo2bo$bo2bo18bo$bobo17bo3bo$2bo19bo2bo$23b3o2$18b2o$18b2o$3b2o$3b3o19b2o$3b2o$2bo$2bo$2bo2$26bobo21bo$25bo2bo19bobo$25bo2bo14b3o3b2o$25bo16bo2b2o$24b3o19b2o$41bo2b3o$41bobo2b2o3$33bobo$33bo2bo$32b2o2bo9b3o$30b2ob3o10b3o$30bo2bo14b3o5b2o$48bo7b2o$49b2o$31bo2bo$31bobo$32bo3$48b2o$48b2o$33b2o$33b3o$33b2o$32bo$32bo$32bo! x = 67, y = 64, rule = B3/S2318b3o$17bo3bo$17b2o$18bo$21bo$19bobo$8b2o$8b2o12bo$21b3o$20bo2b2o$20b4o$23bobo$23bo2bo$6bo3bobo10bo2bo$4b2o9b3o6b2o$3bobob2o4b2o2bo$3b4o4b4ob2o$13b3o8bo$23bob2o$18bo8bo$17bo5bo3bo36b2o$18bo3bo3b2o36b3o$23b3o37bob2o$23bo39b3o$64bo2$20b2o$20b2o$6b4o$6b2ob2o$3o2bo3b2o$6b2ob2o$obo5bo$bo$30b2o$29bo2b2o$24bo3bo$24bo3bo5bo$23bobo3b2o2bo$24bo5b3o$24bo3$36bo3bobo$34b2o9b3o$33bobob2o4b2o2bo$33b4o4b4ob2o$43b3o$58b2o$58b2o7$50b2o$50b2o$36b4o$36b2ob2o$30b3o2bo3b2o$36b2ob2o$30bobo5bo$31bo! One step further: If you apply a c2-cordership-rake instead of a single cordership, the final product is a breeder. (Note: You can't use a cordership-lwss-side-rake, because its cycles are to short for the corresponding corderships => max. 2 c10 lwss rakes) It looks like the moscito (with a little bit more cells), x = 8799, y = 7859, rule = 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Now it gets funny (and accidental):
This breeder produces traffic lights using two c10-machines. Now the third rake comes into play. It is a 2c5r050 i think. I placed this rake a little distant off the breeder to give a headstart. What you get is a kind of shockwave moving through the grid of blinkers. The wavefront is slightly faster then the corderships. When the tsunami impacts the row of corderships most of them gets destroyed, all kind of switchengines arise. Now it looks like a swordfish, still a breeder. Diagonal shifting of the 2c5r050 leads to different scenarios. There is one position of the 2c5r050, that let the corderships intact. Only a few lwss get lost. The first two rows of the breeder are made of loafs to stop the leaving gliders.
x = 8909, y = 7958, rule = 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81bo3bo12bo2bo$1582b4o7180$8454b2o$8454bobo$8454bo11$8486b3o$8486bo$8487bo10$8519b2o$8519bobo$8519bo11$8551b3o$8551bo$8552bo10$8584b2o$8584bobo$8584bo11$8616b3o$8616bo$8617bo10$8649b2o$8649bobo$8649bo4$8802bo$8801bob2o$8743bob2o15bo41b3o$8742b3o2bo13bob2o39bo2bo$8741bob2o2bo16b3o41bo$8746b2o16bo2bo33bo2bo2bo$8744b3o21bo32bob4o44bo$8681b3o60b3obo12bo2bo2bo32b3obo39bo5b3o$8681bo63bob4o10bob4o33b3o35bobo3b2o4b4o$8682bo62bo2bo2bo8b3obo37b2o33b2ob2o3bo6b4o$8752bo7b3o34bob2o2bo31b2o5b4o10bo6bobobo35bob2o$8748bo2bo10b2o34b3o2bo31b2ob4o2b5o3b4ob2o4bo2b4o33bob3o$8748b3o6bob2o2bo35bob2o30b3o3bo2b2o6b2o3bo2bo5bo5bo19bo10bo6bo$8745bob2o9b3o2bo30b3o36b4o2bobo7bo3b6o9b3o17b3o2b2o5b2o2bob2o$8746bo12bob2o30bo2bo37b2o2bo3bo4b3obob2o11b2obobo14b5o2b2o3b2o2bob3o$8793b2obo45b2o5b2o10b2o8b5o3bo4b3ob2o4bo5bobobo$8857bo2bo4b2o3bo2b2obobobob4obobob2obo2b2obob2o$8818bo37bo4bobob2o3b2ob2obobo6bobo2bobo2b2o3bob2o$8798bo18b3o37bob3o2b2o4bo4b3obobo2bo2bob2o3bob2o$8714b2o83bo17b3o18bo22b4o13bobo4bobo13bo$8714bobo29bo25b3o24bo37bobo44b2obob2o$8714bo30bo27bo40b3o19bo2bo44b2obob2o$8744bo3bo22bobo43b2o16bo3bo6b2o13b4o13bobo4bobo13bo$8744bo5bo19b2o43bo2b2o14b5o4bo13bob3o2b2o4bo4b3obobo2bo2bob2o3bob2o$8743b2o3bo2bo19b2o42bo2b2o13bobo2bo4bo3bo8bo4bobob2o3b2ob2obobo6bobo2bobo2b2o3bob2o$8743b2obobobo24b2ob2o36b5o12b2o6bob2obo10bo2bo4b2o3bo2b2obobobob4obobob2obo2b2obob2o$8744bob2o27b3o41bo16bo24b2o8b5o3bo4b3ob2o4bo5bobobo$8744b5o25bo45bo15b2o4b2o22b2obobo14b5o2b2o3b2o2bob3o$8745bo2b2o23bo2bo62b2ob2o24b3o17b3o2b2o5b2o2bob2o$8746b3o25b3o18b3o41b4o14b2o5bo5bo19bo10bo6bo$8747bo107bo2bo4bo2b4o33bob3o$8854b2o3bo3bobobo35bob2o$8854b2o2b3o$8819bo38b2o$8819bo38bo$8727bo129b2o$8728b2o$8858bo2bo$8856b3o2b2o$8732bo126bo3bo$8727bo4bo123b7o$8727bo129b5o$8742bo$8740b4o113b3o$8740b2o2bo112b3o$8738bo5bo110b2o3bo$8739bo4bo105b5obob2o$8743bo106b2o6b2o$8740bobo108b4o$8741b2o108b2o2b2o$8742b2obo$8742bo3b2o$8740bo6bo$8741b7o2$8737bo$8735bo7bo$8742b3o$8735bo5bo3bo$8736bob2obob2o$8736bo2b2ob2o$8736b2o2b2o$8737bo3bo! christoph r. Posts: 144 Joined: March 24th, 2016, 2:55 pm Location: Germany ### Re: Thread For Your Accidental Discoveries christoph r. wrote:With the speed and the direction of the shockwave i am at a loss. If anyone could help? It ends up being 80c/914. christoph r. wrote:Other positions of the 2c5 get reverse wave-fragments or garlands. RLE RLE In the second pattern, once the garlands reach the bottom, they start climbing back up again! I Like My Heisenburps! (and others) Extrementhusiast Posts: 1785 Joined: June 16th, 2009, 11:24 pm Location: USA ### Re: Thread For Your Accidental Discoveries Hi! I am not sure if this is known already, but it seems that a glider can be reflected by a Herschel, which will then produce its first glider that is really close to the reflected glider. For example, a period 120 gun for glider pairs can be made: x = 50, y = 51, rule = B3/S2340b2o$40b2o3$37b2o$37b2o2$40b2o$40b2o$48b2o$48bo$46bobo$29b3o14b2o$30bo$30b3o10$29b2o$29b2o2$32b2o$32b2o2$2o5b2o$2o5b2o20b2o$29b2o$4b2o$4b2o4$16bo10b2o$14bo2bo9b2o$13bo3bo$13bo3bo6b2o5b2o$13bo3b2o5b2o5b2o$14bo2bo4$20b2o$20bo$21b3o$23bo! This can be handy for certain constructions. For example, with a little shift, it can be used to turn a glider: x = 140, y = 137, rule = B3/S233$15bo$15b3o$18bo$17b2o5$6b2o5b2o$6b2o5b2o$24b2o$10b2o12b3o$10b2o12bo4b2o$26b2o2bo$28b2o$28bo$33b2o$33b2o2$30b2o5b2o$30b2o5b2o2$94b3o$96bo$95bo7$32bobo$33b2o$33bo19$64b3o$66bo$65bo15$124b2o$124b2o3$121b2o$82b2o37b2o$60b8o14bobo$60bob4obo14bo41b2o$60b8o55bo2bo$123bobo6b2o$82bo39b2o8bo$81b2o39bo7bobo$73bo7bobo41b2o3b2o$72b3o50b2o$71b5o49b2o$70bobobobo45b2obo$70b2o3b2o46b3o$124bo2$73bo35bo$72bobo32b2o$74bo33b2o$70bo2bo$70bo$71bo41b2o$68b3o42b2o$68bo$116b2o$85bo2bo4bo22b2o$88bo4bo2b2o$84bo7bo5bo$84b2o7bobo2b2o13b2o$90bo2bo3b2o14b2o$87bo2bo4b3o$88b2o4$111b2o$111b2o2$108b2o5b2o$108b2o5b2o5$104b2o$104bo$105b3o$107bo!
Jormungant

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

These fuses are probably known.

x = 17, y = 87, rule = B3/S2312bo3bo$bo3bo6bo3bo$obobobo$bo3bo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o$bo3bo7bobo$2bobo7bo3bo$b2ob2o6b2ob2o!
twinb7

Posts: 175
Joined: February 11th, 2014, 8:08 pm
Location: Ames, Iowa

Final step for a synthesis of a p4:

x = 44, y = 59, rule = B3/S235$4bobo$5b2o$5bo14$31b2o$31bo$28b2obo$29bob2o$16bo12bo2bo$16b2o10b2obo3b2o$15bobo10bo2bobo2bo$19b3o7b2o2b2o$19bo10bobo$20bo9bobo$31bo16$41bo$40b2o$40bobo3$4bo$4b2o$3bobo!

There is definitely an easy way to do this with three, but I don't know the correct collision for that spark. It's from this (otherwise-unhelpful) Bellman result, which is one of the last ways I'd expect to find a synthesis:

x = 29, y = 20, rule = B3/S237b2o$7bo$5bobo$4bobo$2o3bo$2o4$23b2o$23bo$20b2obo$21bob2o$21bo2bo$20b2obo3b2o$8b3o9bo2bobo2bo$8bo2bo9b2o2b2o$9b3o10bobo$22bobo$23bo!
Tanner Jacobi

Kazyan

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

Kazyan wrote:Final step for a synthesis of a p4: ...

Nice. This is the spark that activates a quarter Jack in several different syntheses. The half Jack syntheses make two of these from a pulsar (5 gliders) or skewed pulsar (7 gliders). Two of each of those are used in the full Jack syntheses. I also have four quarter Jack syntheses, and for three of them the pulsar machanism reduces the current synthesis by 1 glider. The fourth one (below) doesn't currently work with either your or my mechanism, but it might work with a one-sided 3-glider one.

This spark is probably producable with 3 or 4 gliders, but I'm not currently aware of any way to do so. I do have 3- and 4- glider mechanisms that produce the spark, but with one additional nearby bit that is toxic to this converter. I couldn't find a way to rescue the 3-glider one with 1 glider, and if 2 additional gliders are needed, this is wouldn't be better than yours.
x = 77, y = 39, rule = B3/S2327bo$27bobo$27boo$$7bo25bo8boo23bobo7boo24boo7bbo33boobo34booboo33boo15boo3boo38bo14boo14bobbobbo39boo13boo15boo4bo14bo23boo20boo13boo24bo35bobo20b4o35b5o7bo11bo4bo32bo6bo6bobo10boobobo32bobbobobo6bobo11boboo34boboboo7bo12bo39bo19boo38boo47bo7booboo3boboobobbo$$21bo$20boo$20bobo!
mniemiec

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

Kazyan wrote:Final step for a synthesis of a p4

Reduced by one glider:

x = 22, y = 23, rule = B3/S236bo$7bo$5b3o$16b2o$16bo$13b2obo$4bo9bob2o$5bo8bo2bo$3b3o7b2obo3b2o$13bo2bobo2bo$4bo9b2o2b2o$4b2o9bobo$3bobo9bobo$16bo7$3o$2bo$bo!
chris_c

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

chris_c wrote:
Kazyan wrote:Final step for a synthesis of a p4

Reduced by one glider:

RLE

Here's a three-glider version, although it's a bit messy:
x = 26, y = 22, rule = B3/S23obo$b2o$bo9$20b2o$20bo$5bobo9b2obo$6b2o10bob2o$6bo11bo2bo$2b3o12b2obo3b2o$4bo12bo2bobo2bo$3bo14b2o2b2o$19bobo$19bobo$20bo! I Like My Heisenburps! (and others) Extrementhusiast Posts: 1785 Joined: June 16th, 2009, 11:24 pm Location: USA ### Re: Thread For Your Accidental Discoveries Also improves something from back when we were still pushing for 15-bit SLs, 15.939: x = 88, y = 51, rule = B3/S23bo$2bo$3o7$15bobo$16b2o$16bo6$51bo$34bobo13bo$35b2o13b3o31bo$35bo12bo34bobo$47b2o33bo2bo$34b2o11bobo31bo3bobo$33bobo44bo5b2o$35bo45b3o$83bo8$53bo$52b2o$52bobo4$19b3o$21bo$20bo4$54b2o$53b2o$55bo$17b2o$18b2o$17bo! LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1883 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Thread For Your Accidental Discoveries Is this known? x = 14, y = 8, rule = B3/S23obo$b2o$bo6bo$7bo$7b3o$11b2o$11bobo$11bo!
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

AbhpzTa wrote:Is this known?
x = 14, y = 8, rule = B3/S23obo$b2o$bo6bo$7bo$7b3o$11b2o$11bobo$11bo! Wow -- three gliders to make a switch engine? I don't think so. At least I don't remember it... I've been using the four-glider recipe for unstabilized switch engines, for the last decade and a half. Nice find! This would save about a fifth of the gliders in things like the old 7-in-a-row Cordership V-gun recipe, because it gives a four-glider recipe with well-separated gliders from just two directions: x = 17, y = 25, rule = B3/S23o$obo8bo$2o8bo$10b3o13$5bo$4b2o$4bobo4$14b2o$14bobo$14bo!

Time to finally build the V-shaped glider to 6-in-a-row Cordership converter, I guess...!

EDIT: Yup, Paul Tooke's 3-engine Cordership can be built with four fewer gliders now -- 11 instead of 15:

#C 11-glider recipe for Paul Tooke's 3-engine Cordershipx = 94, y = 102, rule = B3/S2353bobo$54b2o$54bo35$o$b2o$2o8$55bo31bo$56b2o30bo$55b2o29b3o2$89bo$89bobo$89b2o5$92b2o$91b2o$93bo10$49bo$47bobo$48b2o$59bo$59b2o$58bobo$89b2o$89bobo$89bo19$51b3o$53bo$52bo30bo$82b2o$82bobo!#C [[ TRACK 1/12 1/12 ]]

EDIT2: Here'a a 14-glider three-sided recipe suitable for making a smaller gun. Repeat time is 514 ticks for the moment. Maybe there's a way to improve the repeat time a little more, but I don't think there's anything trivial:

x = 435, y = 443, rule = LifeHistory55.A$53.A.A$54.2A35$.A$2.A$3A8$56.A$57.A28.A.A$55.3A29.2A$87.A$432.A$430.2A$65.A365.2A$66.2A$65.2A2$93.A$94.A$92.3A3$432.A.A$432.2A$433.A6$48.A$49.2A$48.2A10$65.A$63.A.A$64.2A44$183.C$184.C$182.3C36$130.C$128.C.C$129.2C8$185.C29.C$183.C.C30.2C$184.2C29.2C2$302.C.C$302.2C$193.C.C107.C$194.2C$194.C2$222.C$220.C.C$221.2C2$305.C$303.2C$304.2C7$176.C.C$177.2C$177.C9$193.C$194.C$192.3C75$187.3C$189.C8.2C$188.C8.C.C$199.C20$180.2C$181.2C14.C$180.C16.2C$196.C.C102$59.2A$58.A.A$60.A8.3A$71.A$70.A19$52.A$52.2A$51.A.A14.2A$69.2A$68.A!

EDIT3: To complete the series, here's a 15-glider two-sided recipe, good for building a small V-gun or V-converter. Offhand I didn't see how to do this one without adding a third cleanup glider, because the switch engine has to be built 48 ticks sooner if the recipe is coming from the other side, and then it needs a spark-suppression glider for that half-cycle. (Could maybe use two kickbacks instead, but it ends up the same number of gliders.)

Repeat time is 619 ticks, or 552 ticks if you want to live dangerously. Maybe someone can do better:

x = 465, y = 494, rule = LifeHistory55.A$56.A$54.3A31$270.A$271.2A$86.A183.2A$87.2A$86.2A$2.A$A.A$.2A8$57.A$55.A.A$56.2A4$65.A.A$66.2A$66.A$94.A.A$95.2A$95.A3$105.A$106.A$104.3A4$303.A$301.A.A$302.2A$48.A.A165.A.A$49.2A166.2A$49.A167.A8$271.A.A$65.A206.2A$66.A205.A$64.3A2$282.A$283.A$281.3A$311.A$312.A$310.3A4$320.A$321.2A$320.2A6$265.A$266.A$264.3A10$280.A$281.2A$280.2A38$209.C$210.2C$209.2C14$408.C$409.2C$408.2C17$242.C$240.C.C$241.2C$155.C.C$156.2C$156.C8$210.C.C$211.2C$211.C$441.C$439.C.C$221.C218.2C$222.C131.C.C$220.3C132.2C$250.C104.C$251.C$249.3C4$259.C$260.2C$259.2C148.C.C$410.2C$410.C3$420.C$204.C216.C$205.C213.3C$203.3C243.C$450.C$448.3C4$458.C$459.2C$458.2C2$219.C$220.2C$219.2C2$403.C$404.C$402.3C10$418.C$419.2C$418.2C18$253.2C$252.C.C$254.C8.3C$265.C$264.C12$452.2C$451.C.C$453.C8.3C$464.C$463.C19$214.2C$215.2C8.C$214.C10.2C$224.C.C13$413.2C$414.2C8.C$413.C10.2C$423.C.C4$207.2C$206.C.C$208.C14.3C$225.C$224.C12$406.2C$405.C.C$407.C14.3C$424.C$423.C72$314.2A$98.2A213.A.A$99.2A8.A205.A8.3A$98.A10.2A215.A$108.A.A214.A35$275.2A$59.3A214.2A8.A$61.A8.2A203.A10.2A$60.A8.A.A213.A.A$71.A19$268.2A$52.2A213.A.A$53.2A14.A199.A14.3A$52.A16.2A215.A$68.A.A214.A!

dvgrn
Moderator

Posts: 5750
Joined: May 17th, 2009, 11:00 pm

I just found a simple predecessor of the queen bee:
x = 0, y = 0, rule = B3/S23bo3bo$obobobo$bobobo$2bobo! I don't know if this is an original discovery or even useful in any way, but here it is. This orientation generates her majesty such that she is moving upward. "It's not easy having a good time. Even smiling makes my face ache." - Frank N. Furter Ethanagor Posts: 80 Joined: March 15th, 2017, 7:34 pm Location: the Milky Way galaxy ### Re: Thread For Your Accidental Discoveries 11-cell, 16779-gen methuselah: x = 10, y = 16, rule = B3/S238b2o$9bo8$3bo$3bo$b2o$o$o$o$o! Not a record-breaker, but I still think it's interesting. I wonder if it's the longest-lasting SE+blonk combo in that bounding box. Randomly found while messing around with ways to produce a glider-producing switch engine. I kept waiting, and waiting, and waiting, and waiting for it to stabilize. 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: 1862 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Thread For Your Accidental Discoveries While attempting to clean up another synthesis I discovered this 7G synthesis of 19.3128: x = 22, y = 37, rule = B3/S232bo$obo$b2o4$20bo$18b2o$19b2o$12bo$10bobo$11b2o2$8bo$9bo$7b3o10$16b2o$16bobo$16bo$8b2o$9b2o$8bo4$19b3o$19bo$20bo! LifeWiki: Like Wikipedia but with more spaceships. [citation needed] BlinkerSpawn Posts: 1883 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Thread For Your Accidental Discoveries I enjoy messing with meta-chaotic, self similar, self feeding systems. One of my favorites are puffers with afterburner. The puffer in this case has c/2 speed. The afterburner runs with c maximum. The head of the puffer is robust enough to survive the impact of the afterburner. You can see different forms of afterburner. One puffer alone burns not by itself, the afterburner needs an impulse. Putting 2 puffers at a right ankle keeps up the impulse two-way. The accidental find of this constellation is the emergence of switch engines. It starts ca. at generation 6e+18 and recur every e+5.something. So that thing has logarythmic growth with no end i think. Sorry for the vague details, but for exact maths my computer and my brain have not enough power. x = 418, y = 187, rule = B3/S23104bo13bo$103b3o11b3o$102b2obo5bo4b2obo$102b3o5b3o3b3o$103b2o4bo2b2o3b2o$109b3o4$110bo6b3o$110bo6bo2bo$110bo6bo6b3o$111bobo3bo5bo2bo5bo$111bobo4bobo2b2obo4b3o3b3o$111b3o16b2obo2bo2bo5bo$130b3o6bo4b3o$130b3o2bo3bo3b2obo$131b2o6bo3b3o$101b3o32bo2bo3b3o$100bo2bo21b3o10b2o3b3o$94b3o6bo21bobo16b2o$88bo5bo2bo5bo20b4o$81b3o3b3o4bob2o2bobo19b3o$75bo5bo2bo2bob2o32b2o13b3o$74b3o4bo6b3o14b2o17bo$74bob2o3bo3bo2b3o33b2o3b2o$75b3o3bo6b2o16bobo15b3o2b2o$75b3o3bo2bo23bo16b2o11b3o$75b3o3b2o10b3o30b4o$75b2o16bobo31b2o$93b4o31bo$96b3o$80b3o13b2o$96bo$90b2o3b2o9b2o18bo$90b2o2b3o8bo2bo16bobo$80b3o11b2o10bobo16bo2bo$91b4o12bo18b2o$92b2o$92bo$126bo$125bobo$125bo2bo$94bo31b2o$93bobo10b2o$92bo2bo9bo2bo$93b2o11bobo17bo$107bo17bobo$125bo2bo$94bo31b2o$93bobo$92bo2bo$93b2o3$94bo$93bobo$92bo2bo$93b2o3$24b2o$23b2ob4o$24b6o$25b4o3$32bo3bo$22b7o3bo3bo$22bo5bo3bo3bo$22bo$23bo3bo$25bo2$22b2o$21b2ob3o$22b5o$23b3o8b2o$34b2obo$37b3o5bo5bo5bo$28b3o6b2o5bobo3bobo3bobo$20b3o5bobo4b3o5bo2bo2bo2bo2bo2bo$20bo7b3o3b3o7b2o4b2o4b2o$20bobo7b6o$21b2o8b2o$31bo2$19bo2bo$18bo$2b2o14bo3bo$b4o13b4o$2ob2o$b2o21bo10bo9bo$24bobo7bobo7bobo$34bo2bo6bo2bo$26b2o7b2o8b2o$4b2o$3bobo3b3o$2b2obo6b3o$3b2o9bo$4bo7b3o3$2b2o$b4o4b4o$2ob2o4bo3bo$b2o6bo$10bo2bo2$22bo$12b2o8b2o$11bobo7b6o$11bo7b3o3b3o7b2o4b2o4b2o$11b3o5bobo4b3o5bo2bo2bo2bo2bo2bo$19b3o6b2o5bobo3bobo3bobo$28b3o5bo5bo5bo$25b2obo$14b3o8b2o$13b5o$12b2ob3o$13b2o2$16bo$14bo3bo$13bo$13bo5bo3bo3bo$13b7o3bo3bo$23bo3bo3$16b4o$15b6o$14b2ob4o$15b2o51$416b2o$415b2o$417bo!
christoph r.

Posts: 144
Joined: March 24th, 2016, 2:55 pm
Location: Germany

Perhaps one for unsure discoveries? Is that construct known?
Combining a c/2-0072-lwss-siderake with a c/2-0008-beehive-puffer makes a breeder. Every 1152th generation a block-laying switch engine appears. This breeder is kind of adjustable. You get the next level by increasing the space between the two spaceships by 40 cells. Then you need an additonal space of 32 cells to the next level. There is some inconstancy, i could not find a rule so far. There must one. You have this 72-cycle-siderake and there is a puffer producing afterburner of different sizes.

x = 289, y = 442, rule = B3/S2327b2o23b5o$26b5o20bo4bo$22b2obo4b2o24bo$16b2o7bo6bo10bo7bo3bo$20b2o4bo5bo8bo5b2o4bo$14bo2b2ob2o3b3ob3o2b2o5bo3b2o2b3o$17bo2bo6bo2b3o3bobob2o3bo2bo$bo3bo3bo3bo4bo3bob5obo2bo5b5o4bo3bo$obobobobobo2bo5bo5bo3b5o2bo2bo4bo2bo3b2o$obobobobobo2bo5bo5bo3b5o2bo2bo4bo2bo3b2o$bo3bo3bo3bo4bo3bob5obo2bo5b5o4bo3bo$17bo2bo6bo2b3o3bobob2o3bo2bo$14bo2b2ob2o3b3ob3o2b2o5bo3b2o2b3o$20b2o4bo5bo8bo5b2o4bo$16b2o7bo6bo10bo7bo3bo$22b2obo4b2o24bo$26b5o20bo4bo$27b2o23b5o352$125bo$123bo3bo$128bo$123bo4bo$124b5o30$128b3o7b2o$127b5o3b3ob2o$127b3ob2o2b5o$130b2o4b3o6$215b3o$214bo2bo$217bo$217bo$214bobo2$234bo$233bobo$233bo2bo$234b2o$233bob3o29bo8b6o$229bo3bo2bobo11b3o12bo3bo5bo5bo$229bo2bo3bobo11bo2bo16bo10bo$221bo15bo10bo16bo4bo4bo4bo$220b3o25b3o3bo11b5o6b2o5bo2bo$219bo2bo26b3obo20bo13bo$219bo3bob3o24bo22bo8bo3bo$219bo4bob2o45bobo9b4o$225b2o37b2o8bo5b3o$220bob2o40b2ob2o9b2ob2o$273b2o5b3o$186b2o43b2o12b3obo17bobo4b2o9b4o$182b4ob2o43bo16bo18b2o14bo3bo$89b2o91b6o60b2o18b2o18bo$86b3ob2o91b4o58b3o29bo6bo2bo$86b5o184bo3bo$87b3o136b2o39b4o9bo$223b3ob2o37b6o3bo4bo$223b5o38b4ob2o3b5o$224b3o43b2o! 40 cells more space x = 289, y = 482, rule = B3/S2327b2o23b5o$26b5o20bo4bo$22b2obo4b2o24bo$16b2o7bo6bo10bo7bo3bo$20b2o4bo5bo8bo5b2o4bo$14bo2b2ob2o3b3ob3o2b2o5bo3b2o2b3o$17bo2bo6bo2b3o3bobob2o3bo2bo$bo3bo3bo3bo4bo3bob5obo2bo5b5o4bo3bo$obobobobobo2bo5bo5bo3b5o2bo2bo4bo2bo3b2o$obobobobobo2bo5bo5bo3b5o2bo2bo4bo2bo3b2o$bo3bo3bo3bo4bo3bob5obo2bo5b5o4bo3bo$17bo2bo6bo2b3o3bobob2o3bo2bo$14bo2b2ob2o3b3ob3o2b2o5bo3b2o2b3o$20b2o4bo5bo8bo5b2o4bo$16b2o7bo6bo10bo7bo3bo$22b2obo4b2o24bo$26b5o20bo4bo$27b2o23b5o392$125bo$123bo3bo$128bo$123bo4bo$124b5o30$128b3o7b2o$127b5o3b3ob2o$127b3ob2o2b5o$130b2o4b3o6$215b3o$214bo2bo$217bo$217bo$214bobo2$234bo$233bobo$233bo2bo$234b2o$233bob3o29bo8b6o$229bo3bo2bobo11b3o12bo3bo5bo5bo$229bo2bo3bobo11bo2bo16bo10bo$221bo15bo10bo16bo4bo4bo4bo$220b3o25b3o3bo11b5o6b2o5bo2bo$219bo2bo26b3obo20bo13bo$219bo3bob3o24bo22bo8bo3bo$219bo4bob2o45bobo9b4o$225b2o37b2o8bo5b3o$220bob2o40b2ob2o9b2ob2o$273b2o5b3o$186b2o43b2o12b3obo17bobo4b2o9b4o$182b4ob2o43bo16bo18b2o14bo3bo$89b2o91b6o60b2o18b2o18bo$86b3ob2o91b4o58b3o29bo6bo2bo$86b5o184bo3bo$87b3o136b2o39b4o9bo$223b3ob2o37b6o3bo4bo$223b5o38b4ob2o3b5o$224b3o43b2o!

Another 32 cells

x = 289, y = 512, rule = B3/S2327b2o23b5o$26b5o20bo4bo$22b2obo4b2o24bo$16b2o7bo6bo10bo7bo3bo$20b2o4bo5bo8bo5b2o4bo$14bo2b2ob2o3b3ob3o2b2o5bo3b2o2b3o$17bo2bo6bo2b3o3bobob2o3bo2bo$bo3bo3bo3bo4bo3bob5obo2bo5b5o4bo3bo$obobobobobo2bo5bo5bo3b5o2bo2bo4bo2bo3b2o$obobobobobo2bo5bo5bo3b5o2bo2bo4bo2bo3b2o$bo3bo3bo3bo4bo3bob5obo2bo5b5o4bo3bo$17bo2bo6bo2b3o3bobob2o3bo2bo$14bo2b2ob2o3b3ob3o2b2o5bo3b2o2b3o$20b2o4bo5bo8bo5b2o4bo$16b2o7bo6bo10bo7bo3bo$22b2obo4b2o24bo$26b5o20bo4bo$27b2o23b5o422$125bo$123bo3bo$128bo$123bo4bo$124b5o30$128b3o7b2o$127b5o3b3ob2o$127b3ob2o2b5o$130b2o4b3o6$215b3o$214bo2bo$217bo$217bo$214bobo2$234bo$233bobo$233bo2bo$234b2o$233bob3o29bo8b6o$229bo3bo2bobo11b3o12bo3bo5bo5bo$229bo2bo3bobo11bo2bo16bo10bo$221bo15bo10bo16bo4bo4bo4bo$220b3o25b3o3bo11b5o6b2o5bo2bo$219bo2bo26b3obo20bo13bo$219bo3bob3o24bo22bo8bo3bo$219bo4bob2o45bobo9b4o$225b2o37b2o8bo5b3o$220bob2o40b2ob2o9b2ob2o$273b2o5b3o$186b2o43b2o12b3obo17bobo4b2o9b4o$182b4ob2o43bo16bo18b2o14bo3bo$89b2o91b6o60b2o18b2o18bo$86b3ob2o91b4o58b3o29bo6bo2bo$86b5o184bo3bo$87b3o136b2o39b4o9bo$223b3ob2o37b6o3bo4bo$223b5o38b4ob2o3b5o$224b3o43b2o! You can induce it to produce glider-making switch engines x = 1773, y = 442, rule = B3/S231511b2o23b5o$1510b5o20bo4bo$1506b2obo4b2o24bo$1500b2o7bo6bo10bo7bo3bo$1504b2o4bo5bo8bo5b2o4bo$1498bo2b2ob2o3b3ob3o2b2o5bo3b2o2b3o$1501bo2bo6bo2b3o3bobob2o3bo2bo$1485bo3bo3bo3bo4bo3bob5obo2bo5b5o4bo3bo$1484bobobobobobo2bo5bo5bo3b5o2bo2bo4bo2bo3b2o$1484bobobobobobo2bo5bo5bo3b5o2bo2bo4bo2bo3b2o$1485bo3bo3bo3bo4bo3bob5obo2bo5b5o4bo3bo$1501bo2bo6bo2b3o3bobob2o3bo2bo$1498bo2b2ob2o3b3ob3o2b2o5bo3b2o2b3o$1504b2o4bo5bo8bo5b2o4bo$1500b2o7bo6bo10bo7bo3bo$1506b2obo4b2o24bo$1510b5o20bo4bo$1511b2o23b5o352$1609bo$1607bo3bo$1612bo$1607bo4bo$1608b5o30$32bo1579b3o7b2o$30bo3bo1576b5o3b3ob2o$35bo1575b3ob2o2b5o$30bo4bo1578b2o4b3o$31b5o4$2bo$o3bo1694b3o$5bo1692bo2bo$o4bo1695bo$b5o1695bo$1698bobo2$1718bo$1717bobo$1717bo2bo$1718b2o$1717bob3o29bo8b6o$1713bo3bo2bobo11b3o12bo3bo5bo5bo$1713bo2bo3bobo11bo2bo16bo10bo$1705bo15bo10bo16bo4bo4bo4bo$1704b3o25b3o3bo11b5o6b2o5bo2bo$1703bo2bo26b3obo20bo13bo$1703bo3bob3o24bo22bo8bo3bo$1703bo4bob2o45bobo9b4o$1709b2o37b2o8bo5b3o$1704bob2o40b2ob2o9b2ob2o$1757b2o5b3o$1670b2o43b2o12b3obo17bobo4b2o9b4o$1666b4ob2o43bo16bo18b2o14bo3bo$1573b2o91b6o60b2o18b2o18bo$1570b3ob2o91b4o58b3o29bo6bo2bo$1570b5o184bo3bo$1571b3o136b2o39b4o9bo$1707b3ob2o37b6o3bo4bo$1707b5o38b4ob2o3b5o$1708b3o43b2o!
christoph r.

Posts: 144
Joined: March 24th, 2016, 2:55 pm
Location: Germany

christoph r. wrote:Perhaps one for unsure discoveries? Is that construct known?
Combining a c/2-0072-lwss-siderake with a c/2-0008-beehive-puffer makes a breeder. Every 1152th generation a block-laying switch engine appears. This breeder is kind of adjustable. You get the next level by increasing the space between the two spaceships by 40 cells. Then you need an additonal space of 32 cells to the next level. There is some inconstancy, i could not find a rule so far. There must one.

I don't think I've seen anything exactly like that. However, I think I've found at least a partial rule with a spatial "period" of 114:
  {180}  294   408  (522) (636) (750) (864) (978)   190  {304}  418   532   646   760   874   988   192                     648               990   196  {310}               428   542         770         998                                      (896)                                       910   232   346        {574}  688   802   916               462   576   690   804   918   238   352  [466]        694   808   922   242   356   470   584   698   812   926         358   472   586   700         928   250   364   478   592   706   820   934         366   256   370   484         712   826   940   262         380   494   608   722   836   950   268   382   496   610   724   838   952                                       954                                       958                           732         392   280   394   508   622   736   850   964   288   292         520   634   748   862   976

Numbers indicate the formation of at least one block-laying switch engine, (parenthesized) entries indicate the formation of only one BLSE, {braced} entries indicate that the switch engines are eventually destroyed, and the [bracketed] entry indicates that the BLSEs were turned into GPSEs.

I took the "minimum survival distance" to be the reference point when measuring distances:
x = 289, y = 250, rule = B3/S23224b3o43b2o$223b5o38b4ob2o3b5o$223b3ob2o37b6o3bo4bo$87b3o136b2o39b4o9bo$86b5o184bo3bo$86b3ob2o91b4o58b3o29bo6bo2bo$89b2o91b6o60b2o18b2o18bo$182b4ob2o43bo16bo18b2o14bo3bo$186b2o43b2o12b3obo17bobo4b2o9b4o$273b2o5b3o$220bob2o40b2ob2o9b2ob2o$225b2o37b2o8bo5b3o$219bo4bob2o45bobo9b4o$219bo3bob3o24bo22bo8bo3bo$219bo2bo26b3obo20bo13bo$220b3o25b3o3bo11b5o6b2o5bo2bo$221bo15bo10bo16bo4bo4bo4bo$229bo2bo3bobo11bo2bo16bo10bo$229bo3bo2bobo11b3o12bo3bo5bo5bo$233bob3o29bo8b6o$234b2o$233bo2bo$233bobo$234bo2$214bobo$217bo$217bo$214bo2bo$215b3o6$130b2o4b3o$127b3ob2o2b5o$127b5o3b3ob2o$128b3o7b2o30$124b5o$123bo4bo$128bo$123bo3bo$125bo160$27b2o23b5o$26b5o20bo4bo$22b2obo4b2o24bo$16b2o7bo6bo10bo7bo3bo$20b2o4bo5bo8bo5b2o4bo$14bo2b2ob2o3b3ob3o2b2o5bo3b2o2b3o$17bo2bo6bo2b3o3bobob2o3bo2bo$bo3bo3bo3bo4bo3bob5obo2bo5b5o4bo3bo$obobobobobo2bo5bo5bo3b5o2bo2bo4bo2bo3b2o$obobobobobo2bo5bo5bo3b5o2bo2bo4bo2bo3b2o$bo3bo3bo3bo4bo3bob5obo2bo5b5o4bo3bo$17bo2bo6bo2b3o3bobob2o3bo2bo$14bo2b2ob2o3b3ob3o2b2o5bo3b2o2b3o$20b2o4bo5bo8bo5b2o4bo$16b2o7bo6bo10bo7bo3bo$22b2obo4b2o24bo$26b5o20bo4bo$27b2o23b5o! I Like My Heisenburps! (and others) Extrementhusiast Posts: 1785 Joined: June 16th, 2009, 11:24 pm Location: USA ### Re: Thread For Your Accidental Discoveries Is this known? This must be known. x = 30, y = 235, rule = B3/S23obo$obo$3o3$4b2o$4b2o18$6b2o$6b2o18$8b2o$8b2o18$10b2o$10b2o18$12b2o$12b2o18$14b2o$14b2o18$16b2o$16b2o18$18b2o$18b2o18$20b2o$20b2o18$22b2o$22b2o18$24b2o$24b2o18$26b2o$26b2o18$28b2o$28b2o! Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! muzik Posts: 3412 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: Thread For Your Accidental Discoveries muzik wrote:Is this known? This must be known. x = 30, y = 235, rule = B3/S23obo$obo$3o3$4b2o$4b2o18$6b2o$6b2o18$8b2o$8b2o18$10b2o$10b2o18$12b2o$12b2o18$14b2o$14b2o18$16b2o$16b2o18$18b2o$18b2o18$20b2o$20b2o18$22b2o$22b2o18$24b2o$24b2o18$26b2o$26b2o18$28b2o$28b2o! I was very surprised to not find this reaction in Nicolay Beluchenko's article on the pi-heptomino which includes a section on non-orthogonal travel (English translation - by Google). Despite this, I suspect it probably has been found previously. 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: Thread For Your Accidental Discoveries P24 and P20 beehive hasslers: x = 76, y = 48, rule = B3/S2361bo2bob2obo2bo$5bo2bob2obo2bo44b4ob2ob4o$5b4ob2ob4o42b2o12b2o$3b2o12b2o39bo3b2ob4ob2o3bo$2bo3b2ob4ob2o3bo39b3obobo2bobob3o$3b3obobo2bobob3o44bobo2bobo$7bobo2bobo46bob2ob2ob2obo$5bob2ob2ob2obo$62b10o$6b10o42b2o14b2o$2b2o14b2o38bo6b4o6bo$2bo6b4o6bo39b3o3bo2bo3b3o$3b3o3bo2bo3b3o42bobo6bobo$5bobo6bobo42b3o10b3o$3b3o10b3o39bo4bo6bo4bo$2bo4bo6bo4bo38b2o2b2ob4ob2o2b2o$2b2o2b2ob4ob2o2b2o43bob4obo$7bob4obo48bo6bo$7bo6bo$66b2o$10b2o$66bo$10bo54bobo$9bobo53bobo$9bobo54bo$10bo3$8b2o$62b6o$5bo6bo47b2obo2bob2o$5bob4obo43b2o5bo2bo5b2o$2o2b2ob4ob2o2b2o38bo2bob8obo2bo$o4bo6bo4bo39b4o8b4o$b3o10b3o43bo8bo$3bobo6bobo42b3o2b2o2b2o2b3o$b3o3bo2bo3b3o39bo2b3ob4ob3o2bo$o6b4o6bo38b2o3bo6bo3b2o$2o14b2o43b8o$4b10o46bo8bo$60b2ob4ob2o$3bob2ob2ob2obo44bo10bo$5bobo2bobo44b3obobo2bobob3o$b3obobo2bobob3o39bo3b2ob4ob2o3bo$o3b2ob4ob2o3bo39b2o12b2o$b2o12b2o42b4ob2ob4o$3b4ob2ob4o44bo2bob2obo2bo$3bo2bob2obo2bo!

I would think they'd be known, but they're not in jslife, so I guess probably not. Probably reducible, also.
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: 1862
Joined: September 13th, 2014, 5:36 pm
Location: 0x-1

A for awesome wrote:P24 and P20 beehive hasslers:
code

I would think they'd be known, but they're not in jslife, so I guess probably not. Probably reducible, also.

Nice! Are they found by an automated search?
Possible reduction:
x = 26, y = 25, rule = B3/S234b2o4b2obo4b2o$3bobo4bob2o4bobo$3bo16bo$2obo16bob2o$2obobob10obobob2o$3bobo12bobo$3bobo12bobo$4bo3bo6bo3bo$11b2o3$13bo$12bobo$12bobo$13bo2$13b2o$6bo3bo6bo3bo$5bobo12bobo$5bobo12bobo$2b2obobob10obobob2o$2b2obo16bob2o$5bo16bo$5bobo4bob2o4bobo$6b2o4b2obo4b2o! Still drifting. Bullet51 Posts: 530 Joined: July 21st, 2014, 4:35 am ### Re: Thread For Your Accidental Discoveries Bullet51 wrote: A for awesome wrote:P24 and P20 beehive hasslers: code I would think they'd be known, but they're not in jslife, so I guess probably not. Probably reducible, also. Nice! Are they found by an automated search? No, just messing around with p4 sparkers and traffic lights, when one perturbed reaction happened to stick a beehive in the right place, and I found the core reaction. 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: 1862 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 ### Re: Thread For Your Accidental Discoveries Two MWSS + LWSS = Perpendicular LWSS: x = 38, y = 10, rule = B3/S2333b4o$33bo3bo$33bo$34bo2bo2$b5o9b3o$o4bo8b5o$5bo8b3ob2o$o3bo12b2o$2bo! gmc_nxtman Posts: 1147 Joined: May 26th, 2015, 7:20 pm ### Re: Thread For Your Accidental Discoveries Huh. x = 9, y = 13, rule = B3/S23b2o$2bo4b2o$bo5b2o$b2o2$b2o3bo$o2bob2o$b2o3bo2$b2o$bo$2bo\$b2o!
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drc

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