Thread for your unsure discoveries

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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BlinkerSpawn
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Re: Thread for your unsure discoveries

Post by BlinkerSpawn » August 14th, 2017, 9:17 pm

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!
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gmc_nxtman
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Re: Thread for your unsure discoveries

Post by gmc_nxtman » August 19th, 2017, 1:25 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
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Re: Thread for your unsure discoveries

Post by mniemiec » August 19th, 2017, 5:39 pm

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$$54bo$53bo$53b3o9$86bobo37bobo37bob
o$87boo38boo38boo$10boo75bo39bo39bo$10bobo151bo$3bobo4bo151bobo$4boo
22b3o37b3o17boo18b3o17boo18b3o12boo3boo18b3o$4bo3bo19bobbo36bobbo15bob
o18bobbo15bobo18bobbo17bo18bobbo$8boo18bo39bo18boo19bo18boo19bo17b3o
19bo$7bobo18bo39bo14boo23bo3bo35bo3bo13bo21bo3bo$29bobo37bobo12boo22bo
15boo22bo39bo$83bo25bobo13boo22bobo37bobo$124bo$8b3o17b3o17b3o17b3o$7b
obbo16bobbo16bobbo16bobbo17b3o17b3o17b3o17b3o17b3o17b3o$10bo19bo19bo
19bo17bobbo16bobbo16bobbo16bobbo16bobbo16bobbo$10bo19bo19bo19bo17bo19b
o19bo19bo19bo19bo$7bobo17bobo17bobo17bobo18bo3bo15bo3bo15bo3bo15bo3bo
15bo3bo15bo3bo$88bo19bo19bo19bo19bo19bo$89bobo17bobo17bobo17bobo17bobo
17bobo$79bobo$80boo$80bo11$92bo$90bobo$91boo$$88bo$88boo78bo10bo$87bob
o76bobo9bo$167boo9b3o$4bobo37bobo79bobo$5boo38boo53boo25boo40bo$bo3bo
39bo53boo26bo39boo$bbo98bo66boo$3o162boo$6boo18b3o12bobboboo18b3o39b3o
13bobo21b3o13bobo21b3o$3boobbo18bobbo9bobobboobo18bobbo38bobbo13boobb
oo17bobbo14bo21bobbo$3boboo19bo13boo24bo41bo16bo3bobo16bo26b3o10bo$26b
o3bo6boo27bo3bo37bo3bo16bo18bo3bo22bo12bo3bo$26bo9bobo27bo41bo39bo3bo
23bo11bo3bo$27bobo8bo28bobo39bobo36bo39bo$149bobo37bobo$$6b3o17b3o17b
3o17b3o19b3o17b3o$6bobbo16bobbo16bobbo16bobbo18bobbo16bobbo16b3o17b3o
17b3o17b3o$6bo19bo19bo19bo21bo19bo18bobbo16bobbo16bobbo16bobbo$6bo3bo
15bo3bo15bo3bo15bo3bo17bo3bo15bo3bo17bo19bo19bo19bo$6bo19bo19bo19bo21b
o19bo17bo3bo15bo3bo15bo3bo15bo3bo$7bobo17bobo17bobo17bobo19bobo17bobo
14bo3bo15bo3bo15bo3bo15bo3bo$130bo19bo19bo19bo$127bobo17bobo17bobo17bo
bo5$182bobo$182boo$183bo6$149bo$147bobo$148boo4$157boobboo$158boobobo$
157bo3bo3$117bo$116bobo$116boo$$120bo$74bobo42boo$74boo43bobo$75bo$
108bobo$109boo$109bo7boo$116bobo$115bobo$116bo$60bobo4boo$61boo3bobo$
61bo3bobo$66bo$$103bo$103boo$55bo32b3o11bobo33b3o47b3o$55boo31bobbo46b
obbo46bobbo$54bobo31bo49bo49bo$88bo3bo45bo3bo45bo3bo$88bo3bo45bo3bo45b
o3bo$88bo49bo49bo$89bobo47bobo47bobo3$68b3o17b3o27b3o17b3o27b3o17b3o$
67bobbo16bobbo26bobbo16bobbo26bobbo16bobbo$70bo19bo29bo19bo29bo19bo$
66bo3bo15bo3bo25bo3bo15bo3bo25bo3bo15bo3bo$66bo3bo15bo3bo25bo3bo15bo3b
o25bo3bo15bo3bo$70bo19bo29bo19bo29bo19bo$67bobo17bobo27bobo17bobo27bob
o17bobo!

christoph r.
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Re: Thread for your unsure discoveries

Post by christoph r. » August 24th, 2017, 1:15 pm

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
19b2o$20bo$20bobo$21b2o$38bo$38b2o8b2o$39b2o7b2o$38b2o19b2o$11bo47bo$
10b2o45bobo$9b2o46b2o$10b2o26b2o$39b2o$38b2o$38bo25bo$10b2o51b2o$2o7b
2o51b2o$2o8b2o51b2o$11bo3$63b2o$53b2o7b2o16b2o$53b2o8b2o15b2o$64bo18$
59bo$60bo9b2o$60bo9b2o$55bo3b2o$34bo21b3o$33bo$33bo22b3o$33b2o3bo16bo
3b2o$35b3o22bo$60bo$35b3o21bo$33b2o3bo$22b2o9bo$22b2o9bo$34bo$49b2o$
49bobo$51bo$51b2o!

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BlinkerSpawn
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Re: Thread for your unsure discoveries

Post by BlinkerSpawn » August 24th, 2017, 3:08 pm

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
19b2o$20bo$20bobo$21b2o$38bo$38b2o8b2o$39b2o7b2o$38b2o19b2o$11bo47bo$
10b2o45bobo$9b2o46b2o$10b2o26b2o$39b2o$38b2o$38bo25bo$10b2o51b2o$2o7b
2o51b2o$2o8b2o51b2o$11bo3$63b2o$53b2o7b2o16b2o$53b2o8b2o15b2o$64bo4$
45bo$46bo3bo$41b2o8bo12b2o$41bo5b2o2bo12b2o$41bobo5b2o$42b2o3b3o2$42b
2o3b3o$41bobo5b2o$37b2o2bo5b2o2bo12b2o$37b2o2b2o8bo12b2o$46bo3bo$45bo!
On a related note, where can I find relatively-current versions of the gun collection?
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dvgrn
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Re: Thread for your unsure discoveries

Post by dvgrn » August 24th, 2017, 3:53 pm

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.

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drc
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Re: Thread for your unsure discoveries

Post by drc » August 26th, 2017, 4:12 pm

This is bugging me:

Code: Select all

x = 13, y = 8, rule = B3/S23
11bo$12bo$12bo2$2o8b2o$2o7bo2bo$9bobo$10bo!
\100\97\110\105

M. I. Wright
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Re: Thread for your unsure discoveries

Post by M. I. Wright » August 27th, 2017, 7:31 pm

drc wrote:This is bugging me:

Code: Select all

x = 13, y = 8, rule = B3/S23
11bo$12bo$12bo2$2o8b2o$2o7bo2bo$9bobo$10bo!
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 :D)

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.
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drc
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Re: Thread for your unsure discoveries

Post by drc » August 27th, 2017, 7:49 pm

M. I. Wright wrote:
drc wrote:This is bugging me:

Code: Select all

x = 13, y = 8, rule = B3/S23
11bo$12bo$12bo2$2o8b2o$2o7bo2bo$9bobo$10bo!
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 :D)
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

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Re: Thread for your unsure discoveries

Post by Saka » August 28th, 2017, 7:35 am

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
11bo$12bo$12bo25bo$39bo30bo$2o8b2o27bo31bo$2o7bo2bo58bo$9bobo5b2o8b2o
8b2o38b2o$10bo6b2o8b2o7bo2bo4b2o13b2o8b2o6b2o$36bobo5b2o13b2o7bo2bo$
37bo30bobo$69bo12$11bo$12bo$12bo5b2o25bo$19bo26bo4b2o$2o8b2o6bo27bo5bo
$2o7bo2bo5b2o31bo$9bobo22b2o8b2o5b2o$10bo23b2o7bo2bo$43bobo$44bo!
Also, gen 20 and 24 could maybe be used for a synthesis:

Code: Select all

x = 19, y = 8, rule = B3/S23
11bo$12bo4b2o$12bo4b2o2$2o8b2o$2o7bo2bo$9bobo$10bo!
[[ 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

o3b2ob2obo3b2o2b2o$bo3b2obob3o3bo2bo$2bo2b3o5b3ob4o$3o3bo2bo2b3o3b3o$
4bo4bobo4bo$2o2b2o2b4obo2bo3bo$2ob4o3bo2bo2bo2bo$b2o3bobob2o$3bobobo5b
obobobo$3bobobob2o3bo2bobo!
(Check gen 3)
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gmc_nxtman
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Re: Thread for your unsure discoveries

Post by gmc_nxtman » August 28th, 2017, 10:03 am

drc wrote:
M. I. Wright wrote:
drc wrote:This is bugging me:

Code: Select all

x = 13, y = 8, rule = B3/S23
11bo$12bo$12bo2$2o8b2o$2o7bo2bo$9bobo$10bo!
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 :D)
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
2o10bo$bo11bo$bobo9bo37b2o$2b2o47b2o$11b2o29b2o$10bo2bo27bo2bo$10bobo
28bobo$11bo30bo$36b2o$35bobo2b2o9b2o$35bo15bobo$34b2o17bo$53b2o!
Although it does seem likely that some weird catalyst off to the right could release a glider..

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Kazyan
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Re: Thread for your unsure discoveries

Post by Kazyan » September 3rd, 2017, 2:21 am

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
2o10bo$bo11bo$bobo9bo$2b2o$11b2o11bo$10bo2bo9bobo$10bobo11b2o$11bo!
Still, that's an unsatisfying answer because the other beehive still can't be cleaned up.
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gmc_nxtman
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Re: Thread for your unsure discoveries

Post by gmc_nxtman » September 13th, 2017, 9:20 pm

A 4-glider collision, and two of the surely many ways to salvage it:

Code: Select all

x = 73, y = 16, rule = B3/S23
3bo31bo31bo$bobo29bobo29bobo$2b2o30b2o30b2o2$4bo31bo31bo$4bobo29bobo
29bobo$4b2o30b2o30b2o$3o29b3o29b3o$o31bo31bo$bo31bo31bo$7bo31bo31bo$6b
2o30b2o19b2o9b2o$6bobo14b3o12bobo19b2o8bobo$25bo5b2o26bo$24bo6bobo$31b
o!

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Re: Thread for your unsure discoveries

Post by A for awesome » September 13th, 2017, 9:58 pm

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
3bo31bo31bo$bobo29bobo29bobo$2b2o30b2o30b2o2$4bo31bo31bo$4bobo29bobo
29bobo$4b2o30b2o30b2o$3o29b3o29b3o$o31bo31bo$bo31bo31bo$7bo31bo31bo$6b
2o30b2o19b2o9b2o$6bobo14b3o12bobo19b2o8bobo$25bo5b2o26bo$24bo6bobo$31b
o!
How about something like this?

Code: Select all

x = 12, y = 15, rule = B3/S23
5bo3bo$5b4o$6bo$2bo$3b2o$2b2o3b2o$7bo$8bo$5b4o$4bo$4b4obo$b2o3b2o2bo$o
bo6b3o$2bo6b2o$11bo!
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

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christoph r.
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Re: Thread for your unsure discoveries

Post by christoph r. » October 7th, 2017, 4:38 pm

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!
One blinker more instead you get a glider-making switch-engine.

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!

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2718281828
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Re: Thread for your unsure discoveries

Post by 2718281828 » October 18th, 2017, 5:43 am

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.

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BlinkerSpawn
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Re: Thread for your unsure discoveries

Post by BlinkerSpawn » October 18th, 2017, 12:42 pm

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.
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mniemiec
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Re: Thread for your unsure discoveries

Post by mniemiec » October 18th, 2017, 1:42 pm

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.)

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Re: Thread for your unsure discoveries

Post by 2718281828 » October 19th, 2017, 2:21 am

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.

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Re: Thread for your unsure discoveries

Post by mniemiec » October 19th, 2017, 2:36 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.

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Re: Thread for your unsure discoveries

Post by Sokwe » October 19th, 2017, 2:52 am

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

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Re: Thread for your unsure discoveries

Post by dvgrn » October 19th, 2017, 7:41 am

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?

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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

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2718281828
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Re: Thread for your unsure discoveries

Post by 2718281828 » October 19th, 2017, 4:51 pm

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

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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.

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Re: Thread for your unsure discoveries

Post by Goldtiger997 » October 20th, 2017, 9:26 am

2718281828 wrote:I am working on the enumeration of all 3G reactions.
Nice work, this is very interesting!
Instead of reducing the loafer synthesis, perhaps we could try reducing the [url=chttp://www.conwaylife.com/forums/viewtopic.php ... 325#p46308]copperhead synthesis[/url]. I tried and failed to reduce it using 3 glider collisions, but I'm wondering if we can with a more complete set. So do you have any collisions that creates these patterns?:

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x = 111, y = 21, rule = B3/S23
53b2o3b2o$52bobo3bobo$51b2o7b2o45bo$2b2o48b2o5b2o45b3o$b4o48bo5bo45b2o
b2o$o4bo48b5o45b2o3b2o$6o49b3o47b2ob2o$b4o51bo7$107b2o$107b2o4$55b2o$
55b2o!
Note: The first two should give a reduced synthesis, but the third will not definitely (I have actually already found some collisions for the third, but none of them are compatible with the copperhead synthesis).

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Re: Thread for your unsure discoveries

Post by 2718281828 » October 20th, 2017, 10:17 am

the third will not definitely (I have actually already found some collisions for the third, but none of them are compatible with the copperhead synthesis).
For this I have found these four different options:

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x = 10, y = 9, rule = B3/S23
7bo$8bo$6b3o3$8bo$3o4b2o$2bo4bobo$bo!

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x = 7, y = 14, rule = B3/S23
o$b2o$2o2$4bobo$4b2o$5bo5$5b2o$4b2o$6bo!

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x = 7, y = 17, rule = B3/S23
bo$2bo$3o3$3bobo$3b2o$4bo7$5b2o$4b2o$6bo!

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x = 8, y = 8, rule = B3/S23
bo$2bo4bo$3o2b2o$6b2o2$b2o$2b2o$bo!

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