For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Posts: 1964
Joined: November 8th, 2014, 8:48 pm
Location: Getting a snacker from R-Bee's

gmc_nxtman wrote:
BlinkerSpawn wrote:Is there a 3G synthesis of the two-pi spark (piehard?) that can make this synthesis work for 10G?...
Some tweaks down to 9G:

Code: Select all

x = 53, y = 24, rule = B3/S23
50bo$16bo33bobo$14b2o34b2o$2bo12b2o$obo$b2o2$31bo$25bo5bobo$24bo6b2o$24b3o$21b2o$20b2o$22bo2$31b2o$31bobo$31bo2$b2o$obo$2bo12b2o$14b2o$16bo
!
Neat!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

gmc_nxtman
Posts: 1149
Joined: May 26th, 2015, 7:20 pm

Is this from-the-front LWSS inserter known?

Code: Select all

x = 35, y = 26, rule = B3/S23
23bo$23bobo$23b2o5$11bo$11b3o$12bo9$30b4o$30bo3bo$30bo$31bo2bo2$3o$2bo$bo!

mniemiec
Posts: 1113
Joined: June 1st, 2013, 12:00 am

gmc_nxtman wrote:Is this from-the-front LWSS inserter known? ...
I was not aware of that one, but the standard 3-glider method works just as well. Both insert at the minimum possible separation. Here are the other LWSS, MWSS, and HWSS syntheses I know that can insert spaceships at minimum separation (14, 16, and 18 generations respectively). Two had to be slightly tweaked:

Code: Select all

x = 193, y = 138, rule = B3/S23
54bo$50boobo$50bobb3o$48bobo$48boo$$54bo53bo53b3o986bobo37bobo37bob o87boo38boo38boo10boo75bo39bo39bo10bobo151bo3bobo4bo151bobo4boo 22b3o37b3o17boo18b3o17boo18b3o12boo3boo18b3o4bo3bo19bobbo36bobbo15bob o18bobbo15bobo18bobbo17bo18bobbo8boo18bo39bo18boo19bo18boo19bo17b3o 19bo7bobo18bo39bo14boo23bo3bo35bo3bo13bo21bo3bo29bobo37bobo12boo22bo 15boo22bo39bo83bo25bobo13boo22bobo37bobo124bo8b3o17b3o17b3o17b3o7b obbo16bobbo16bobbo16bobbo17b3o17b3o17b3o17b3o17b3o17b3o10bo19bo19bo 19bo17bobbo16bobbo16bobbo16bobbo16bobbo16bobbo10bo19bo19bo19bo17bo19b o19bo19bo19bo19bo7bobo17bobo17bobo17bobo18bo3bo15bo3bo15bo3bo15bo3bo 15bo3bo15bo3bo88bo19bo19bo19bo19bo19bo89bobo17bobo17bobo17bobo17bobo 17bobo79bobo80boo80bo1192bo90bobo91boo$$88bo$88boo78bo10bo$87bob
o76bobo9bo$167boo9b3o$4bobo37bobo79bobo$5boo38boo53boo25boo40bo$bo3bo
39bo53boo26bo39boo$bbo98bo66boo$3o162boo$6boo18b3o12bobboboo18b3o39b3o 13bobo21b3o13bobo21b3o$3boobbo18bobbo9bobobboobo18bobbo38bobbo13boobb
oo17bobbo14bo21bobbo$3boboo19bo13boo24bo41bo16bo3bobo16bo26b3o10bo$26b
o3bo6boo27bo3bo37bo3bo16bo18bo3bo22bo12bo3bo$26bo9bobo27bo41bo39bo3bo 23bo11bo3bo$27bobo8bo28bobo39bobo36bo39bo$149bobo37bobo$$6b3o17b3o17b 3o17b3o19b3o17b3o6bobbo16bobbo16bobbo16bobbo18bobbo16bobbo16b3o17b3o 17b3o17b3o6bo19bo19bo19bo21bo19bo18bobbo16bobbo16bobbo16bobbo6bo3bo 15bo3bo15bo3bo15bo3bo17bo3bo15bo3bo17bo19bo19bo19bo6bo19bo19bo19bo21b o19bo17bo3bo15bo3bo15bo3bo15bo3bo7bobo17bobo17bobo17bobo19bobo17bobo 14bo3bo15bo3bo15bo3bo15bo3bo130bo19bo19bo19bo127bobo17bobo17bobo17bo bo5182bobo182boo183bo6149bo147bobo148boo4157boobboo158boobobo 157bo3bo3117bo116bobo116boo$$120bo$74bobo42boo$74boo43bobo$75bo$108bobo$109boo$109bo7boo$116bobo$115bobo$116bo$60bobo4boo$61boo3bobo$61bo3bobo$66bo$$103bo103boo55bo32b3o11bobo33b3o47b3o55boo31bobbo46b obbo46bobbo54bobo31bo49bo49bo88bo3bo45bo3bo45bo3bo88bo3bo45bo3bo45b o3bo88bo49bo49bo89bobo47bobo47bobo368b3o17b3o27b3o17b3o27b3o17b3o 67bobbo16bobbo26bobbo16bobbo26bobbo16bobbo70bo19bo29bo19bo29bo19bo 66bo3bo15bo3bo25bo3bo15bo3bo25bo3bo15bo3bo66bo3bo15bo3bo25bo3bo15bo3b o25bo3bo15bo3bo70bo19bo29bo19bo29bo19bo67bobo17bobo27bobo17bobo27bob o17bobo!  christoph r. Posts: 182 Joined: March 24th, 2016, 2:55 pm Location: Germany ### Re: Thread for your unsure discoveries A p138-glidergun made off a Bill Gosper bi-gun and a Bill Gosper's muzik's bi-gun combi Code: Select all x = 82, y = 61, rule = B3/S23 19b2o20bo20bobo21b2o38bo38b2o8b2o39b2o7b2o38b2o19b2o11bo47bo 10b2o45bobo9b2o46b2o10b2o26b2o39b2o38b2o38bo25bo10b2o51b2o2o7b 2o51b2o2o8b2o51b2o11bo363b2o53b2o7b2o16b2o53b2o8b2o15b2o64bo18 59bo60bo9b2o60bo9b2o55bo3b2o34bo21b3o33bo33bo22b3o33b2o3bo16bo 3b2o35b3o22bo60bo35b3o21bo33b2o3bo22b2o9bo22b2o9bo34bo49b2o 49bobo51bo51b2o!  BlinkerSpawn Posts: 1964 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Thread for your unsure discoveries christoph r. wrote:A p138-glidergun made off a Bill Gosper bi-gun and a Bill Gosper's muzik's bi-gun combi Code: Select all gun  A more compact p138, although it's still no record-breaker, I'm sure: Code: Select all x = 82, y = 41, rule = B3/S23 19b2o20bo20bobo21b2o38bo38b2o8b2o39b2o7b2o38b2o19b2o11bo47bo 10b2o45bobo9b2o46b2o10b2o26b2o39b2o38b2o38bo25bo10b2o51b2o2o7b 2o51b2o2o8b2o51b2o11bo363b2o53b2o7b2o16b2o53b2o8b2o15b2o64bo4 45bo46bo3bo41b2o8bo12b2o41bo5b2o2bo12b2o41bobo5b2o42b2o3b3o242b 2o3b3o41bobo5b2o37b2o2bo5b2o2bo12b2o37b2o2b2o8bo12b2o46bo3bo45bo!  On a related note, where can I find relatively-current versions of the gun collection? LifeWiki: Like Wikipedia but with more spaceships. [citation needed] dvgrn Moderator Posts: 6725 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: Thread for your unsure discoveries BlinkerSpawn wrote:On a related note, where can I find relatively-current versions of the gun collection? chris_c's collection on GitHub is pretty darn current, and fairly easy to go look things up in -- you don't have to download the whole collection to find a specific gun. (For the variable guns you might have to make some adjustments to get an actual gun pattern, though. That would be a good low-priority project if someone wanted to tackle it, building out actual RLE for each gun period up to 1000 where there isn't an entry in the fixed folder.) If you just want to see if a newly built gun is better than what's in the collection, just multiply the all-phases bounding box length times width and check that against the number for that period, in the README on the landing page. drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Thread for your unsure discoveries This is bugging me: Code: Select all x = 13, y = 8, rule = B3/S23 11bo12bo12bo22o8b2o2o7bo2bo9bobo10bo!  \100\97\110\105 M. I. Wright Posts: 372 Joined: June 13th, 2015, 12:04 pm ### Re: Thread for your unsure discoveries drc wrote:This is bugging me: Code: Select all x = 13, y = 8, rule = B3/S23 11bo12bo12bo22o8b2o2o7bo2bo9bobo10bo!  I swear I've seen this before. Wasn't it utilized in one of Guam's spark-to-G converters, or something along those lines? (Good work if you [re?]found it on your own, by the way ) EDIT: perhaps it was brought up in a discussion thread relating to said converters? Unfortunately I can't find anything with the forum search (partially due to "glider" being ignored as too common, lol), but if anyone else is curious I very clearly remember one post in said thread containing both of Guam's converters Last edited by M. I. Wright on August 28th, 2017, 4:15 am, edited 1 time in total. gamer54657 wrote:God save us all. God save humanity. hgkhjfgh nutshelltlifeDiscord 'Conwaylife Lounge' drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Thread for your unsure discoveries M. I. Wright wrote: drc wrote:This is bugging me: Code: Select all x = 13, y = 8, rule = B3/S23 11bo12bo12bo22o8b2o2o7bo2bo9bobo10bo!  I swear I've seen this before. Wasn't it utilized in one of Guam's spark-to-G converters, or something along those lines? (Good work if you [re?]found it on your own, by the way ) It's probably been found before, but I was just playing around and noticed this. I was particularly bugged because I couldn't clean the second beehive. \100\97\110\105 Saka Posts: 3413 Joined: June 19th, 2015, 8:50 pm Location: In the kingdom of Sultan Hamengkubuwono X Contact: ### Re: Thread for your unsure discoveries Playing around. If you know me, you know that I hate these things, but sometimes a Lifeenthusiast has to do what a Lifeenthusiast does. Code: Select all x = 79, y = 32, rule = B3/S23 11bo12bo12bo25bo39bo30bo2o8b2o27bo31bo2o7bo2bo58bo9bobo5b2o8b2o 8b2o38b2o10bo6b2o8b2o7bo2bo4b2o13b2o8b2o6b2o36bobo5b2o13b2o7bo2bo 37bo30bobo69bo1211bo12bo12bo5b2o25bo19bo26bo4b2o2o8b2o6bo27bo5bo 2o7bo2bo5b2o31bo9bobo22b2o8b2o5b2o10bo23b2o7bo2bo43bobo44bo!  Also, gen 20 and 24 could maybe be used for a synthesis: Code: Select all x = 19, y = 8, rule = B3/S23 11bo12bo4b2o12bo4b2o22o8b2o2o7bo2bo9bobo10bo! [[ T 20 PAUSE 2.0 "Weird bun thing" T 24 PAUSE 2.0 "...And a weird loop thing" T 118 "The End" ]]  Code: Select all o3b2ob2obo3b2o2b2obo3b2obob3o3bo2bo2bo2b3o5b3ob4o3o3bo2bo2b3o3b3o 4bo4bobo4bo2o2b2o2b4obo2bo3bo2ob4o3bo2bo2bo2bob2o3bobob2o3bobobo5b obobobo3bobobob2o3bo2bobo!  (Check gen 3) Add your computer to the Table of Lifeenthusiast Computers! gmc_nxtman Posts: 1149 Joined: May 26th, 2015, 7:20 pm ### Re: Thread for your unsure discoveries drc wrote: M. I. Wright wrote: drc wrote:This is bugging me: Code: Select all x = 13, y = 8, rule = B3/S23 11bo12bo12bo22o8b2o2o7bo2bo9bobo10bo!  I swear I've seen this before. Wasn't it utilized in one of Guam's spark-to-G converters, or something along those lines? (Good work if you [re?]found it on your own, by the way ) It's probably been found before, but I was just playing around and noticed this. I was particularly bugged because I couldn't clean the second beehive. It's not the same reaction. Compare: Code: Select all x = 55, y = 13, rule = B3/S23 2o10bobo11bobobo9bo37b2o2b2o47b2o11b2o29b2o10bo2bo27bo2bo10bobo 28bobo11bo30bo36b2o35bobo2b2o9b2o35bo15bobo34b2o17bo53b2o!  Although it does seem likely that some weird catalyst off to the right could release a glider.. Kazyan Posts: 959 Joined: February 6th, 2014, 11:02 pm ### Re: Thread for your unsure discoveries gmc_nxtman wrote:Although it does seem likely that some weird catalyst off to the right could release a glider.. Less weird than you'd think: Code: Select all x = 26, y = 8, rule = B3/S23 2o10bobo11bobobo9bo2b2o11b2o11bo10bo2bo9bobo10bobo11b2o11bo! Still, that's an unsatisfying answer because the other beehive still can't be cleaned up. Tanner Jacobi Coldlander, a novel, available in paperback and as an ebook. gmc_nxtman Posts: 1149 Joined: May 26th, 2015, 7:20 pm ### Re: Thread for your unsure discoveries A 4-glider collision, and two of the surely many ways to salvage it: Code: Select all x = 73, y = 16, rule = B3/S23 3bo31bo31bobobo29bobo29bobo2b2o30b2o30b2o24bo31bo31bo4bobo29bobo 29bobo4b2o30b2o30b2o3o29b3o29b3oo31bo31bobo31bo31bo7bo31bo31bo6b 2o30b2o19b2o9b2o6bobo14b3o12bobo19b2o8bobo25bo5b2o26bo24bo6bobo31b o! A for awesome Posts: 2043 Joined: September 13th, 2014, 5:36 pm Location: 0x-1 Contact: ### Re: Thread for your unsure discoveries gmc_nxtman wrote:A 4-glider collision, and two of the surely many ways to salvage it: Code: Select all x = 73, y = 16, rule = B3/S23 3bo31bo31bobobo29bobo29bobo2b2o30b2o30b2o24bo31bo31bo4bobo29bobo 29bobo4b2o30b2o30b2o3o29b3o29b3oo31bo31bobo31bo31bo7bo31bo31bo6b 2o30b2o19b2o9b2o6bobo14b3o12bobo19b2o8bobo25bo5b2o26bo24bo6bobo31b o! How about something like this? Code: Select all x = 12, y = 15, rule = B3/S23 5bo3bo5b4o6bo2bo3b2o2b2o3b2o7bo8bo5b4o4bo4b4obob2o3b2o2boo bo6b3o2bo6b2o11bo!  x₁=ηx V ⃰_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)$$x_1=\eta xV^*_\eta=c^2\sqrt{\Lambda\eta}K=\frac{\Lambda u^2}2P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

christoph r.
Posts: 182
Joined: March 24th, 2016, 2:55 pm
Location: Germany

I saw the topic Making switch-engines and took my breeder to make this.

Code: Select all

x = 36, y = 23, rule = B3/S23
25b2o$24bo2bo6b2o$25b2o7b2o12$18b3o5$3o27bo$2bo26bobo$bo27bobo$30bo!  This is surely known. One block more prevents the most waste. Code: Select all x = 36, y = 23, rule = B3/S23 25b2o$24bo2bo6b2o$25b2o7b2o12$18b3o3$13b2o$13b2o$3o27bo$2bo26bobo$bo 27bobo$30bo!


Code: Select all

x = 36, y = 24, rule = B3/S23
25b2o$24bo2bo6b2o$25b2o7b2o12$18b3o5$3o27bo$2bo26bobo$bo6bo20bobo$8bo 21bo$8bo!


Here the original pattern:

Code: Select all

x = 142, y = 232, rule = B3/S23
90b2o23b5o$89b5o20bo4bo$85b2obo4b2o24bo$79b2o7bo6bo10bo7bo3bo$83b2o4bo
5bo8bo5b2o4bo$77bo2b2ob2o3b3ob3o2b2o5bo3b2o2b3o$80bo2bo6bo2b3o3bobob2o
3bo2bo$76bo4bo3bob5obo2bo5b5o4bo3bo$76bo5bo5bo3b5o2bo2bo4bo2bo3b2o$76b o5bo5bo3b5o2bo2bo4bo2bo3b2o$76bo4bo3bob5obo2bo5b5o4bo3bo$80bo2bo6bo2b 3o3bobob2o3bo2bo$77bo2b2ob2o3b3ob3o2b2o5bo3b2o2b3o$83b2o4bo5bo8bo5b2o 4bo$79b2o7bo6bo10bo7bo3bo$85b2obo4b2o24bo$89b5o20bo4bo$90b2o23b5o160$
32bo$30bo3bo$35bo$30bo4bo$31b5o12$b3o7b2o$5o3b3ob2o$3ob2o2b5o$3b2o4b3o
12$87bo$86bobo$86bo2bo$87b2o$86bob3o29bo8b6o$82bo3bo2bobo11b3o12bo3bo
5bo5bo$82bo2bo3bobo11bo2bo16bo10bo$74bo15bo10bo16bo4bo4bo4bo$73b3o25b 3o3bo11b5o6b2o5bo2bo$72bo2bo26b3obo20bo13bo$72bo3bob3o24bo22bo8bo3bo$
72bo4bob2o45bobo9b4o$78b2o37b2o8bo5b3o$73bob2o40b2ob2o9b2ob2o$126b2o5b 3o$39b2o43b2o12b3obo17bobo4b2o9b4o$35b4ob2o43bo16bo18b2o14bo3bo$12b2o
21b6o60b2o18b2o18bo$9b3ob2o21b4o58b3o29bo6bo2bo$9b5o114bo3bo$10b3o66b 2o39b4o9bo$76b3ob2o37b6o3bo4bo$76b5o38b4ob2o3b5o$77b3o43b2o!


2718281828
Posts: 738
Joined: August 8th, 2017, 5:38 pm

Are these 3-glider synthesis for Acorn, Multum in parvo and Thunderbird known?

Code: Select all

x = 10, y = 9, rule = B3/S23
bo$2bo$3o2$9bo$7b2o$2b3o3b2o$4bo$3bo! Code: Select all x = 9, y = 10, rule = B3/S23 3bo$4b2o$3b2o2$7bo$7b2o$6bobo$bo$b2o$obo!  Code: Select all x = 5, y = 16, rule = B3/S23 4bo$2b2o$3b2o6$bo$2bo$3o3$b3o$3bo$2bo!  At least here they are listed as 4 glider synthesis in http://codercontest.com/mniemiec/glider-4.htm But here the switch engine is listed as 4Gsynthesis even though 3 is known (http://www.conwaylife.com/wiki/Switch_engine). Also the wiki states them as 4 glider synthesis (http://www.conwaylife.com/wiki/Thunderbird, http://www.conwaylife.com/wiki/Acorn) For Multum in parvo it is not stated (http://www.conwaylife.com/wiki/Multum_in_parvo) Additionally I found a 3 glider synthesis for 7468M: Code: Select all x = 12, y = 23, rule = B3/S23 bo$2bo$3o3$b3o$3bo$2bo13$9b3o$9bo$10bo!  and Thompson's 6-bit methuselah Code: Select all x = 12, y = 11, rule = B3/S23 bo$2bo$3o3$4b2o$3b2o$5bo$10bo$9b2o$9bobo!  For the 7468M no synthesis is reported, for the latter one only a 6G synthesis. Edit 10/25/2017: And 3 gliders for the mango-glider mess (with a natural pentadecathlon) Code: Select all x = 20, y = 11, rule = B3/S23 bo$2bo$3o$18bo$19bo$17b3o3$17b2o$18b2o$17bo!  Last edited by 2718281828 on October 25th, 2017, 4:39 pm, edited 1 time in total. BlinkerSpawn Posts: 1964 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Thread for your unsure discoveries 2718281828 wrote:Are these 3-glider synthesis for Acorn, Multum in parvo and Thunderbird known? I don't believe so, but the synthesis wiki hasn't been updated in quite some time (I think waiting for a robust way to handle new records semi-automatically) and the Methuselah section in particular hasn't really had much attention paid to it; most synthesis attempts are focused on still-lifes and oscillators. LifeWiki: Like Wikipedia but with more spaceships. [citation needed] mniemiec Posts: 1113 Joined: June 1st, 2013, 12:00 am ### Re: Thread for your unsure discoveries 2718281828 wrote:Are these 3-glider synthesis for Acorn, Multum in parvo and Thunderbird known? ... Additionally I found a 3 glider synthesis for 7468M: ... and Thompson's 6-bit methuselah ... I know of one different 3-glider synthesis for Thunderbird, found by Extrementhusiast on 2015-07-04. All the others are improvements. Very nice! I was not aware of 7468M; I will add it. I am trying to list all important methuselahs below 10 bits. (Unfortunately, I've been somewhat mind-bogglingly slow in updating my site, but things are starting to come together, it shouldn't be that much longer.) 2718281828 Posts: 738 Joined: August 8th, 2017, 5:38 pm ### Re: Thread for your unsure discoveries I know of one different 3-glider synthesis for Thunderbird, found by Extrementhusiast on 2015-07-04. I am working on the enumeration of all 3G reactions, and I got all the results by looking at the ashes. The mentioned reactions are only representatives, for some there are multiple options. For the Thunderbird I have e.g.: Code: Select all x = 334, y = 18, rule = B3/S23 71bo$69b2o$70b2o3$4bobo198bobo48b2o3b2o$5b2o198b2o48bobo2b2o70bo$5bo
200bo50bo4bo70bo$b2o65bo255bobo4b3o$obo66bo64bo190b2o$2bo64b3o62b2o62b obo58b2o66bo$8bo124b2o61b2o59bobo71bo$7b2o130bo57bo59bo72b2o$7bobo58b
3o66b2o191bobo$70bo62b3o2b2o$69bo63bo64b3o$134bo63bo$199bo!
The first one follows if a glider crashed into a honey farm reaction. The second one is the example I have shown which really creates the 6-bit Thunderbird.

mniemiec
Posts: 1113
Joined: June 1st, 2013, 12:00 am

2718281828 wrote:I am working on the enumeration of all 3G reactions
An exhaustive examination of all 3G reaction has, to the best of my knowledge, never been done. Dave Buckingham did a fairly comprehensive study of them back around the 1980s or so, but the fact that occasional new 3-glider syntheses have come up over the past few decades (e.g. pentadecathlon, bi-pond, infinite growth, and switch engine, plus the ones you posted here) show that he didn't find all of them.

There are three things I'm personally particularly interested in with regards to 3 glider collisions, which haven't really been studied in depth - syntheses of pseudo-still-lifes (because few people care about them, so they are frequently overlooked), constellations of 2 objects (because these are frequently used in larger syntheses, and making 2 at once can save a glider or two off the recipe), and 3-glider syntheses of certain useful sparks - hopefully with no additional debris, although in some cases, the sparks can be useful enough that an additional cleanup glider or two can be tolerated.

I have a few hundred sparks (mostly from Buckingham's research), and around a thousand constellations (mostly from mine), but those aren't very well organized, and come from haphazard, rather than systematic research.

Sokwe
Moderator
Posts: 1637
Joined: July 9th, 2009, 2:44 pm

2718281828 wrote:I am working on the enumeration of all 3G reactions.
There are a lot of people who will be interested in this. You should discuss your methods in this topic. Someone might be able to give some helpful suggestions. Personally, I'm curious how you plan to deal with the 2-glider collisions that release gliders (e.g., 2-glider mess and B-heptominoes).
-Matthias Merzenich

dvgrn
Moderator
Posts: 6725
Joined: May 17th, 2009, 11:00 pm
Contact:

Sokwe wrote:
2718281828 wrote:I am working on the enumeration of all 3G reactions.
There are a lot of people who will be interested in this.
Hear, hear! For example, do you happen to be able to confirm Extrementhusiast's result that there are 1,546 cases where the three gliders all interact for the first time on the same tick?
Sokwe wrote:Personally, I'm curious how you plan to deal with the 2-glider collisions that release gliders (e.g., 2-glider mess and B-heptominoes).
Luckily there are only a few collisions that do that -- a total of seven, including the three B-heptomino outputs and 2-glider mess that Sokwe mentions, plus the two kickback reactions and the TL+glider reaction. The kickback collisions are relatively easy to get a complete enumeration for, but the B-heptominoes and the others seem fairly painful.

Even an enumeration that excludes the toughest cases would be really useful. @2718281828, does your analysis start from two-glider collisions, or are you using some other method?

It looks like you've recorded a good large subset of three-glider collisions already, to find those methuselah syntheses. Does anything happen to have the ash signature of this part of a loafer recipe?

Code: Select all

x = 39, y = 31, rule = LifeHistory
38.C$36.2C$37.2C$14.C$15.C$4.C.C6.3C$5.2C$5.C5$29.D.D$30.2D$30.D2$32. D.D$32.2D$33.D$36.3D$36.D$37.D5$.C$.2C$C.C6.C$9.2C$8.C.C! Seems like sorting things out based on the ash will work really well in some cases, but not so well if someone is looking to replace, say, expensive sparks in a glider recipe with cheaper sparks. If you have to look through all reactions that end with zero population, that doesn't narrow the field very much... Given a good database of three-glider collisions, though, it should be possible to reprocess and re-index it in all kinds of different ways. Edit: I fixed your quotation formatting. -Sokwe 2718281828 Posts: 738 Joined: August 8th, 2017, 5:38 pm ### Re: Thread for your unsure discoveries Does anything happen to have the ash signature of this part of a loafer recipe? If I got it correctly the relevant part of the 5 glider reaction is Code: Select all x = 9, y = 4, rule = B3/S23 b2o4b2o$o2b2ob3o$bobo$2bo!

I looked for the resulting ash (including symmetries) in my 3G collision files, but the result is negative. And I should have almost all 3G collisions, only 'a couple' of late interacting 2glider mess+third glider (after more than 500 generations) are missing, but they very like won't produce this pattern.

Goldtiger997
Posts: 599
Joined: June 21st, 2016, 8:00 am

x = 111, y = 21, rule = B3/S23
53b2o3b2o$52bobo3bobo$51b2o7b2o45bo$2b2o48b2o5b2o45b3o$b4o48bo5bo45b2o