For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Ethanagor
Posts: 80
Joined: March 15th, 2017, 7:34 pm
Location: the Milky Way galaxy

Is this still life known? If so, what's it called?

Code: Select all

x = 0, y = 0, rule = Life
5b2o3b2o$5bobobobo$7bobo$7bobo$5bobobobo$2o2bobo3bobo2b2o$o4bo4b2o4bo$b4o7b4o2$b4o7b4o$o4bo5bo4bo$2o2bobo3bobo2b2o$5bobobobo$7bobo$7bobo$5bo
bobobo$5b2o3b2o!  "It's not easy having a good time. Even smiling makes my face ache." - Frank N. Furter drc Posts: 1664 Joined: December 3rd, 2015, 4:11 pm Location: creating useless things in OCA ### Re: Thread for your unsure discoveries Ethanagor wrote:Is this still life known? If so, what's it called? Code: Select all x = 0, y = 0, rule = Life 5b2o3b2o$5bobobobo$7bobo$7bobo$5bobobobo$2o2bobo3bobo2b2o$o4bo4b2o4bo$
b4o7b4o2$b4o7b4o$o4bo5bo4bo$2o2bobo3bobo2b2o$5bobobobo$7bobo$7bobo$5bo bobobo$5b2o3b2o!

That is not a still life and even if it was, still lifes are not interesting. (Unless they have special properties.)

A for awesome
Posts: 2315
Joined: September 13th, 2014, 5:36 pm
Location: Pembina University, Home of the Gliders
Contact:

A for awesome wrote:Can anyone find a way to complete this p120 pre-pulsar hassler without resorting to guns? The Karel's p15s shown here almost work, and p40 traffic jam oscillators work but don't fit:

Code: Select all

x = 45, y = 45, rule = B3/S23
11b3o$10bo3bo4bo$10bo3bo3bobo$11b3o4bob2o$17b2o3$17b2o$11b3o4bob2o$10b o3bo3bobo$10bo3bo4bo14b2o6b2o$11b3o19bo2bo4bo2bo$33bo2bo4bo2bo$33bo2bo 4bo2bo$34b2o6b2o3$37bo2bo$35b3o2b3o$34bo8bo$35b2o4b2o$36bo4bo2$3bo4bo$2b2o4b2o$bo8bo4b3o3b3o$2b3o2b3o6bo5bo$4bo2bo3$b2o6b2o$o2bo4bo2bo$o2bo 4bo2bo$o2bo4bo2bo19b3o$b2o6b2o14bo4bo3bo$24bobo3bo3bo$23b2obo4b3o$26b
2o3$26b2o$23b2obo4b3o$24bobo3bo3bo$25bo4bo3bo$31b3o!  Solved by using a different spark for the same effect, only to realize that it's actually in jslife: Code: Select all x = 33, y = 33, rule = B3/S23 10bo4bo$8b2ob4ob2o$10bo4bo6$31bo$31bo$30bobo$31bo$31bo$31bo$31bo$bo16b 3o9bobo$bo16bobo10bo$obo15b3o10bo$bo$bo$bo$bo16b3o$obo15bobo$bo16b3o$b
o6$17bo4bo$15b2ob4ob2o$17bo4bo! It looks evil if you set it at x15 Dangit, stupid glazed terracotta glitches. Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace! A for awesome Posts: 2315 Joined: September 13th, 2014, 5:36 pm Location: Pembina University, Home of the Gliders Contact: ### Re: Thread for your unsure discoveries Can this lead to a synthesis? Code: Select all x = 9, y = 8, rule = B3/S23 3b2o$3b2o3$7b2o$2o5b2o$b2o$bo!

praosylen#5847 (Discord)

x₁=ηx
V*_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

A for awesome
Posts: 2315
Joined: September 13th, 2014, 5:36 pm
Location: Pembina University, Home of the Gliders
Contact:

Code: Select all

x = 28, y = 36, rule = B3/S23
4b2o16b2o$4b2o16b2o3$5bo16bo$4b3o14b3o$3bo3bo12bo3bo$5bo16bo$2bo5bo10b
o5bo$2bo5bo10bo5bo$3bo3bo12bo3bo$4b3o14b3o5$7bo12bo$13b2o$13b2o$7bo12b o$5bobo12bobo$6b2o5b2o5b2o$13b2o3$2o3b2o14b2o3b2o2$bo3bo16bo3bo$2b3o 18b3o$2b3o18b3o5$3b2o18b2o$3b2o18b2o!

praosylen#5847 (Discord)

x₁=ηx
V*_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

muzik
Posts: 3949
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Is this gun known?

Code: Select all

x = 61, y = 21, rule = B3/S23
11bo$2o8b2o15b2o$2o7b2o16b2o$10b2o2b2o2$24bo$22b5o$10b2o2b2o5b2obo2bo$9b2o9bo7bo$10b2o9b2obo2bo8bo$11bo10b5o7b5o10bo$24bo8bo2bob2o9b2o$32bo 7bo9b2o$33bo2bob2o5b2o2b2o$34b5o$36bo2$45b2o2b2o$32b2o16b2o7b2o$32b2o 15b2o8b2o$49bo!

Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

dvgrn
Moderator
Posts: 7641
Joined: May 17th, 2009, 11:00 pm
Contact:

muzik wrote:Is this gun known?
Hmm, well, it's a different mechanism from Bill Gosper's bi-gun from the 1970s (top pattern below). Your variant needs a couple more blocks:

Code: Select all

x = 67, y = 63, rule = b3/s23
18bobo2b2o$3b2o12bo3bob3o$3b2o13bo6b2o$19b5obo$22b3o6b2o2bobo$3bobo3bo bo18b3obo3bo12b2o$5bo3bo12b3o4b2o6bo13b2o$bo11bo5b5obo4bob5o$o3bo5bo3b
o3bo6b2o4b3o$bo11bo3bo3bob3o18bobo3bobo$5bo3bo8bobo2b2o6b3o12bo3bo$3bo bo3bobo18bob5o5bo11bo$29b2o6bo3bo3bo5bo3bo$30b3obo3bo3bo11bo$31b2o2bob
o8bo3bo$44bobo3bobo27$18bobo2b2o$3b2o12bo3bob3o4b2o$3b2o13bo6b2o3b2o$19b5obo$22b3o$3bobo3bobo$5bo3bo12b3o$bo11bo5b5obo$o3bo5bo3bo3bo6b2o$bo 11bo3bo3bob3o29bobo3bobo$5bo3bo8bobo2b2o17b2o2bobo8bo3bo$3bobo3bobo29b 3obo3bo3bo11bo$40b2o6bo3bo3bo5bo3bo$41bob5o5bo11bo$42b3o12bo3bo$55bobo 3bobo$42b3o$41bob5o$35b2o3b2o6bo13b2o$35b2o4b3obo3bo12b2o$42b2o2bobo!
I can't say for sure, but your bi-gun variant was probably also found by Gosper during the original twin-bees shuttle testing, but discarded because there was another one with smaller population.

It has probably been re-found every decade or so since then; Brice Due very likely ran into it during the run-up to constructing the OTCA metapixel, for example. He used gencols to check all orientations of all relative locations of twin-bees shuttles up to three shuttles, if I remember right, and found quite a number of interesting reactions. Here are a couple of samples:

Natural p92 guns --

Code: Select all

#C Six "natural" p92 guns utilizing 2x or 3x p46 twin bees.
#C Middle row guns differ slightly by phasing. Top right gun contains
#C the previously posted smallest p92 gun -- one p46 is vestigial.
#C Brice Due, 18 January 2007
x = 185, y = 234, rule = B3/S23
o$3o$3bo$2b2o15$17b3o$17bo$18bo$44b2o5b2o83b2o5b2o$44b2o5b2o83b2o5b2o
3$45bo5bo85bo5bo$44b3o3b3o83b3o3b3o$44bob2ob2obo83bob2ob2obo$43b2o7b2o
81b2o7b2o$43b2o7b2o81b2o7b2o$43b3o5b3o81b3o5b3o$45b3ob3o85b3ob3o$47bob
o89bobo$44bo2bobo2bo83bo2bobo2bo$43bo2bo3bo2bo81bo2bo3bo2bo$44b2o5b2o 83b2o5b2o6$40b3o$40bo$41bo2$26b4o31b2o2bobo$10b2o14bo2b2o29b3obo3bo12b
2o$10b2o15bo2b2o10b2o15b2o6bo13b2o66bob2o$27bo2bo11b2o16bob5o76b2o3bo
2b2o2b3o12b2o$28b2o31b3o79b2o3bo6b2o13b2o$148b2o3b3o$28b2o31b3o86bo3bo$27bo2bo29bob5o$10b2o15bo2b2o5b2o15b2o3b2o6bo13b2o67bo3bo$10b2o14bo2b
2o6b2o15b2o4b3obo3bo12b2o65b2o3b3o$26b4o31b2o2bobo80bo6b2o13b2o$148bo
2b2o2b3o12b2o$131bo17bob2o$129bo2bo$117b2o10b5o$117b2o10b3ob2o$130b2ob o14b2o$131b2o15b2o2$131b2o$130b2obo$117b2o10b3ob2o9b2o$117b2o10b5o10b
2o$129bo2bo$131bo7$163bo$161bobo$162b2o12$44b2o5b2o83b2o5b2o$44b2o5b2o 83b2o5b2o$178b2o$178bobo$45bo5bo85bo5bo36bo$44b3o3b3o83b3o3b3o35b2o$
44bob2ob2obo83bob2ob2obo$43b2o7b2o81b2o7b2o$43b2o7b2o81b2o7b2o$43b3o5b 3o81b3o5b3o$45b3ob3o85b3ob3o$47bobo89bobo$44bo2bobo2bo83bo2bobo2bo$43b o2bo3bo2bo81bo2bo3bo2bo16bo$44b2o5b2o13bo3b2o64b2o5b2o13b2o2bo$58b2o4b 2obob3o13b2o63b2o5bo5bo13b2o$58b2o4bo4b3o13b2o63b2o4b2o2bobo14b2o$64bo 3bo88b2o3bo$65b3o90b3o2$49b2o14b3o73b2o15b3o$47bo3b2o11bo3bo70bo3b2o
12b2o3bo$51b2o11bo4b3o13b2o56b2o11b2o2bobo14b2o$46bo3b2o12b2obob3o13b
2o51bo3b2o13bo5bo13b2o$46bo19bo3b2o66bo19b2o2bo$47bo2bo88bo2bo19bo$48b ob2o88bob2o$54bo91bo$34b4o13bobo72b4o13bobo$18b2o14bo2b2o13bo57b2o14bo
2b2o13bo$18b2o15bo2b2o70b2o15bo2b2o$35bo2bo88bo2bo$36b2o90b2o2$36b2o
90b2o$35bo2bo88bo2bo$18b2o15bo2b2o5b2o63b2o15bo2b2o5b2o$18b2o14bo2b2o 6b2o63b2o14bo2b2o6b2o$34b4o88b4o2$66bo91bo$67b2o90b2o$66b2o90b2o15$83b
2o90b2o$83bobo89bobo$85bo91bo$85b2o90b2o9$44b2o5b2o106b2o5b2o$44b2o5b 2o106b2o5b2o3$45bo5bo108bo5bo$44b3o3b3o106b3o3b3o$44bob2ob2obo106bob2o
b2obo$43b2o7b2o104b2o7b2o$43b2o7b2o104b2o7b2o$43b3o5b3o104b3o5b3o$45b
3ob3o108b3ob3o$47bobo112bobo$44bo2bobo2bo106bo2bobo2bo$43bo2bo3bo2bo 104bo2bo3bo2bo$44b2o5b2o106b2o5b2o9$144b2o15b2o$143b5o12b2obo$127b2o 14bo4bo5b2o4b5o$127b2o14b3o2bo5b2o7b2o$51b2o9b2o14b2o64bo2b2o21b2o2bo 4b2o2b2o$51b2o8b2o15b2o65b2o23bob2o6b2ob2o$62b5o94bo9bo6bobo$45bo17b4o
78b2o15bo8b3o4b2o$43bo2bo97bo2b2o$43bobo17b4o60b2o14b3o2bo22b3o4b2o$43bobo16b5o60b2o14bo4bo22bo6bobo$61b2o15b2o63b5o22bob2o6b2ob2o$62b2o 14b2o64b2o24b2o2bo4b2o2b2o2$19b2o14b2o$19b2o15b2o$32b5o16bobo102b3o$32b4o18b2o$54bo$32b4o$32b5o$19b2o15b2o8b2o$19b2o14b2o9b2o7$144bo$142b
2o$143b2o8$76bobo$77b2o$77bo5$126b2o31b2o5b2o$125bobo31b2o5b2o$86b2o 37bo$86bobo35b2o$88bo$88b2o!
"Heisenburp" duplicator --

Code: Select all

x = 46, y = 51, rule = B3/S23
#C p92 Conway-Space "Heisenburp" Duplicator
#C Brice Due, 3 January 2007
23b4o5b6o$23bob2o7b4o$23bo7bob2o$24b2o5b2o2$24b2o5b2o$23bo7bob2o$9b2o
12bob2o7b4o$9b2o12b4o5b6o2$6bo$6bo4$4bo8$b2o5b2o$o2bo3bo2bo$bo2bobo2bo 11b2o$4bobo13b2o$2b3ob3o13bo$3o5b3o$2o7b2o$2o7b2o$bob2ob2obo$b3o3b3o$2bo5bo3$b2o5b2o$b2o5b2o11$44b2o$43b2o$45bo!

calcyman
Posts: 2365
Joined: June 1st, 2009, 4:32 pm

The bottom-left p92 gun in that collection contains, as a proper subset, muzik's bi-gun variant.

Case closed.
What do you do with ill crystallographers? Take them to the mono-clinic!

knightlife
Posts: 566
Joined: May 31st, 2009, 12:08 am

Can this be done with 4 gliders?

Code: Select all

x = 109, y = 95, rule = B3/S23
obo$b2o$bo44$106bo$106bobo$106b2o11$74bo$72bobo$73b2o$69b2o$68bobo$70b o28$53b2o$52bobo$54bo!


mniemiec
Posts: 1241
Joined: June 1st, 2013, 12:00 am

knightlife wrote:Can this be done with 4 gliders? ...
There are several 5-glider syntheses of 15.78 from 3 gliders into a pi. B. Shemyakin also found this fast 4-glider synthesis at some point:

Code: Select all

x = 28, y = 11, rule = B3/S23
25boo$6bo17bobbo$6bobobbo12bobo$oo4boobboo11booboo$boo7bobo10bobbo$o 23bobo$25bo$$8b3o10bo9bo!  wildmyron Posts: 1518 Joined: August 9th, 2013, 12:45 am Location: Western Australia ### Re: Thread for your unsure discoveries knightlife wrote:Can this be done with 4 gliders? Code: Select all x = 109, y = 95, rule = B3/S23 obob2obo44106bo106bobo106b2o1174bo72bobo73b2o69b2o68bobo70b o2853b2o52bobo54bo!  chris_c's glider_synth project contains this 4 glider synthesis. I don't know the origin though. Code: Select all x = 16, y = 20, rule = B3/S23 6bo7bo5b3o7obob2obo214b2o13b2o15bo26b2o5bobo7bo! The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki. A for awesome Posts: 2315 Joined: September 13th, 2014, 5:36 pm Location: Pembina University, Home of the Gliders Contact: ### Re: Thread for your unsure discoveries Can this (see gen. 19) be turned into a synthesis? Code: Select all x = 6, y = 6, rule = B3/S23 5bo5bo3b3o2bo2bo2o!  praosylen#5847 (Discord) x₁=ηx V*_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)$$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}$$PHPBB12345 Posts: 819 Joined: August 5th, 2015, 11:55 pm Contact: ### Re: Thread for your unsure discoveries Not synthesis: Code: Select all x = 10, y = 11, rule = B3/S23 2oobo2bo2b2ob2obobo4bo2b2ob3oboboboo2bobo3boo2bob4ob2o7b2o7b 2o!  A for awesome Posts: 2315 Joined: September 13th, 2014, 5:36 pm Location: Pembina University, Home of the Gliders Contact: ### Re: Thread for your unsure discoveries Is a synthesis possible here? Code: Select all x = 38, y = 26, rule = B3/S23 27b2o7b2o31b3o28b4ob4o27bo9bo27bo3bobo3bo31bobo31bobo28b2obobob 2o2bo27bo3bo2bo2bo13boobobo13booboboo3bo5bobobobobobooboboobob o13bo2bo13bo2bo2bo27bo3bo28b2obobob2o31bobo31bobo27bo3bobo3bo 27bo9bo28b4ob4o31b3o!  praosylen#5847 (Discord) x₁=ηx V*_η=c²√(Λη) K=(Λu²)/2 Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)$$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}

Jormungant
Posts: 296
Joined: May 27th, 2016, 1:01 am

I came across this H-to-G9 that is a relatively simple combination of known tracks, but it is not in a collection I downloaded a while back, is this known?

Code: Select all

x = 35, y = 59, rule = LifeHistory
.C$2CB$CBCB$.4B$2.4B$3.4B$4.4B$5.4B$6.4B14.2B$2B5.4B12.4B$3B5.4B11.4B
$4B5.4B9.6B2.B$.4B5.4B8.2B2A2B.B2A$2.4B5.4B3.B.3BA2BA3B2A$3.B3C.3B.4B
.7B2A2B.2B$4.C4BD18B$4.BC2B2D17B$4.3B2D18B$4.4BD18B$2.2A.4BD18B$2.A4.
4B.B2.13B.B$A.A5.AB5.12B.B2A$2A5.A.A.A3.9BD4B2A$5.3A.2A.A3.7B3DB.2B$
4.A7.A3.6B2D2BD$4.2A6.2A3.10B$21.7B$20.8B$21.8B$21.8B$18.AB.9B$17.A.A 11B$17.2A.11B$21.11B$11.2A8.4BD6B$12.A8.3B3D5B$12.A.AB5.3BD7B$13.2AB. 3B.10B$15.17B$15.17B$16.16B$15.19B$13.21B$11.22B2A$11.2BA17B.B2A$10. 3BABA4B.9B3.B$11.2B3A4B2.6B$10.5BA4B2.6B.2B$9.10B4.7B2A$8.4B10.6B.B2A$8.3B12.6B.B$6.4B13.6B$6.2A15.5B$7.A15.4B$4.3A14.5B$4.A16.2A$22.A$19. 3A$19.A!

I am trying to get some stable mechanisms to produce glider pairs that can be used to turn gliders, it there such a track already made? (among the combination below)

Code: Select all

x = 146, y = 80, rule = B3/S23
8bo$8bobo25bobo20bobo22bo$8b2o26b2o21b2o21b2o$37bo22bo22b2o53bo4bo$
110bo27bobo2bobo$90bo19bobo3bo21b2o3b2o$5bo82b2o20b2o4bobo$5bobo75b2o 4b2o25b2o$5b2o20b3o3bobo27bobo16bobo53b2o$29bo3b2o23b3o2b2o19bo25b2o 25bobo$28bo5bo25bo3bo44bobo27bo$59bo51bo$3b2o$4b2o$3bo20$12bo$11bo$11b 3o$39bo54bo$39bobo20bo3bobo23b2o$6bo27bo4b2o19b2o4b2o25b2o$6bobo19b3o 2bo27b2o4bo$6b2o22bo2b3o$29bo$89b2o$61b2o25bobo3bobo$b2o57bobo27bo3b2o
$obo59bo32bo$2bo19$121bo$119b2o21bo$4bo115b2o18b2o$3bo59bo29bo47b2o$3b 3o30bobo22b2o6bo21b2o$8bobo25b2o24b2o5bobo20b2o$8b2o27bo31b2o47bo$9bo
88bo19bobo20bo$34bo55b2o5bo20b2o21bobo$27b3o3bo28b2o25bobo5b3o41b2o$29bo3b3o25bobo27bo44b3o$3b3o22bo34bo51b3o20bo$5bo111bo19bo$4bo111bo!


chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am

Jormungant wrote: I am trying to get some stable mechanisms to produce glider pairs that can be used to turn gliders, it there such a track already made? (among the combination below)
I don't know if any of those pairs can be made easily. What is your use-case exactly? Would codeholic's glider stream merger be sufficient?

Code: Select all

x = 140, y = 142, rule = B3/S23
138bo$137bo$137b3o60$76bo$75bo$75b3o2$59b2o$59bobo$61bo$61b3o$64bo$61b 3o$61bo$59bobo$59b2o4$71b2o$71bo$72b3o$74bo9$35b2o$35bobo$37bo$37b3o$40bo$37b3o$37bo$35bobo$35b2o4$47b2o$47bo$48b3o$50bo20$14b2o$15b2o$14bo
27$2A$.2A$A!  Jormungant Posts: 296 Joined: May 27th, 2016, 1:01 am ### Re: Thread for your unsure discoveries @simeks Thanks you for sharing this solution. chris_c wrote:What is your use-case exactly? Would codeholic's glider stream merger be sufficient? I have been trying to make a gun for 30P5H2V0 (see viewtopic.php?f=2&t=1643&start=125#p42642) This imply creating +- 70 gliders that converge onto a single point, so I wondered if the construction could be simplified if a fraction of the gliders could be produced by re-using the same tracks. The idea is that turning gliders allows to initiate gliders in different position depending on the phase shift between two glider streams (see below). Still, this might not be practical as it may collide with other gliders most of the time, but could be used a few times none the less. Code: Select all x = 208, y = 181, rule = LifeHistory 33.A11.2A$32.A.A9.B2AB$24.A3.2A2.A.A9.3B$23.A.A2.A2.2A.2A9.B.B$23.A.A 3.A.A2.B8.5B$24.A.4A2.AB2A6.6B$26.A3.A.A.2A4.8B$8.2A15.A2.BA.A2.13B$9.A14.A.2BA.A5.13B$9.A.AB11.2A.2BA5.15B$10.2AB.2A12.3B4.5B2A8B$12.2B
2AB12.2B.B.6B2A9B$12.4B6.14B2A13B$12.6B3.14BA2BA13B$13.6B2.14BA2BA14B$13.7B.15BABA9B3.B2A$12.35B4.A2.A$5.B5.20B2.2B2.B3.6B5.2A.A$7.21B14. 6B7.A$.B.2B2A2BA16B14.9B6.2A$2AB.5A16B15.2A4.4B$2ABA22B15.A5.4B7.2A$. 2B.2A2BA3B3A11B12.3A7.4B5.B2AB$4.B2ABA4B2A4B2.3B.B2A10.A10.B3A5.3B$5. 2BA5B2A4B6.BA.A21.A3B3.B.B$5.B2.12B8.A22.A3B.6B$5.B3.12B7.2A22.10B8. 2A$12.10B22.2A7.12B3.2B2AB6.2A$12.6B.4B22.A8.6B2A4B2.4B7.A$14.B.B3.4B
21.A.AB6.5B2A12B2.BA.A$13.3B5.BABA10.A10.2AB.3B2.5B2A2B2A9B.B2A$13.B
2AB5.B2AB7.3A12.8B2A5B2AB2A9B$14.2A7.A3B5.A15.8B2A2B5A2BA9B$24.4B4.2A
15.7BA3B4A3BA9B$17.2A6.9B14.13BA2B3A10B$18.A7.6B14.21B2.9B$18.A.2A5. 6B3.B2.2B2.20B5.11B$19.A2.A4.35B6.BAB.B2.5B7.A$20.2AB3.27B.7B7.A.A.2A 2.5B6.3A$21.32B2.6B5.3A.ABA4.5B8.A$22.31B3.6B3.A3.A4.A3.5B6.A.A$23.8B
2A2BA16B6.4B4.A2.A.4A4.5B5.A.AB$23.10B4A3B.B.2B12.B2A2B5.A.A.A8.5B5.A 3B$24.9B2A2BAB4.3B12.2A.B2A4.A3.3A6.5B6.4B$24.13B2A5.A2B.2A11.BA.A9.A 8.4B5.6B$25.11B2A5.A.A2B.A14.A19.4B4.7B$27.10B2AB2.A.AB2.A15.2A19.4B 2.8B.4B.B$26.8B4.2A.A.A3.A38.17B.B2A$26.6B6.2ABA2.4A.A37.18B2A$26.5B
8.B2.A.A3.A.A36.16B.2B$26.B.B9.2A.2A2.A2.A.A36.16B$27.3B9.A.A2.2A3.A
37.5B3A7B$26.B2AB9.A.A43.2AB.3BA2BA5B$27.2A11.A43.A.AB2.11B$84.A5.A9B$83.2A5.A4BA4B$89.3B2A6B$90.10B$90.8B.B2A.A$89.7B3.B2AB3A$89.6B6.B4.A$90.6B4.2A.3A$90.4BA4.A2.2A$89.4BA3B.A.A$80.A8.9B.A.2A.A$80.3A6.6B.3A
B.A.2A$52.2A29.A4.2B3D2B2.2B2.A$53.A28.2A4.4BD2B3.B.2A$53.A.AB20.A4. 4B.4B3DB2.A.A2.2A$54.A.AB.B17.3A4.11B2.2A2.A2.A$55.A3B2A19.A2.12B7.2A$53.4B.B2A18.2A2.12B$48.2A2.4B3.B19.B3.11B$47.A.A2.6B19.3B4.2B2A3B$47.A2.9B16.6B3.2BA2BA2B44.2A$44.2A.A.12B11.10B2.3B2A4B43.A$44.2A.A.2A .12B2.2B3.23B39.BA.A$48.A.BA8BC15B2A3BD7B2A3B.B34.B.BA.A5.A$49.2A7BCB C15B2A2B2D4B2A2BA4B2A32.2A3BA5.A.A$51.7B3C18B2D5BA3BA4B2A32.2AB.3B4.A
.A$47.4A3.4BC21BD6B3A6B34.B3.2B3.2A.3A$46.A2.A5.26BD9B2.5B35.4B3.B4.A
$46.2A3.A7.7B.13B5.5B6.2A34.4B2.B2AB3A$50.2A8.7B4.B.7B3.3B.2B7.A34.4B
3.B2A.A$61.7B15.2A12.3A30.4B2.5B$62.7B15.A14.A29.4B2.4B8.A$63.7B11.3A 44.4B2.7B4.3A$64.7B10.A45.4B2.10B.A$65.7B5.B48.4B2.11BA.A$66.7B.5B46.
4B2.10B.2BAB$67.7B.5B44.4B2.10B3.2B$68.7B.5B42.4B2.6BA3B3.2B$69.7B.4B 41.4B2.7B2AB3.B2AB$70.7B.4B39.4B2.7BABA5.2A$71.7B.4B37.4B2.10B$72.7B.
4B35.4B2.10B$73.7B.4B33.4B2.10B$74.7B.4B31.4B2.10B$75.7B.4B29.4B2.10B$76.7B.4B27.4B2.10B$77.7B.4B25.4B2.10B$78.3BA3B.4B23.4B2.10B$79.ABA4B .4B21.4B2.10B$80.2A4BA.4B19.4B2.10B$81.6BA.3B18.4B2.10B$82.3B3AB.2B
17.4B2.10B$83.7B.B16.4B2.10B$84.7B16.4B2.10B$85.7B14.4B2.10B$86.7B12.
4B2.10B$87.7B10.4B2.10B$88.7B8.4B2.10B$89.7B6.4B2.10B$90.7B4.4B2.10B$91.7B2.4B2.10B$92.23B$93.21B$94.11B3A5B$95.12BA4B$96.10BA4B$97.13B$
98.13B$99.13B$100.12B$101.12B$102.7B.4B$105.3B3.4B$112.4B51.A11.2A$113.4B49.A.A9.B2AB$114.4B40.A3.2A2.A.A9.3B$115.4B38.A.A2.A2.2A.2A9.B. B$116.4B37.A.A3.A.A2.B8.5B$117.4B37.A.4A2.AB2A6.6B$118.4B38.A3.A.A.2A
4.8B$119.4B19.2A15.A2.BA.A2.13B$120.4B19.A14.A.2BA.A5.13B$121.B3A8.A 9.A.AB11.2A.2BA5.15B$122.A3B7.3A3.A4.2AB.2A12.3B4.15B$123.A3B9.A.A.A 5.2B2AB12.2B.B.17B$124.4B5.4A.A2.A4.4B6.16B4A9B$125.4B4.A4.A3.A3.6B3. 16BA3BA10B$126.4B5.ABA.3A5.B3A2B2.16BA4BA10B$127.4B3.2A.A.A7.BA2BA2B. 17B3A7B3.B2A$128.4B3.B.BAB6.2BA32B4.A2.A$129.11B5.2BA4BA12B2.2B2.B3. 6B5.2A.A$130.9B2.4B3A5BA8B14.6B7.A$131.15B2A6BA5B14.9B6.2A$131.16B3AB
4A4B15.2A4.4B$131.17BA3B2A6B15.A5.4B7.2A$131.29B12.3A7.4B5.B2AB$129. 2A22B2.3B.B2A10.A10.4B5.3B$128.A.A22B6.BA.A21.4B3.B.B$128.A3.8B2.12B 8.A22.4B.6B$127.2A3.4B2A2B3.12B7.2A22.10B$132.4B2A8.10B22.2A7.12B3.B$
146.6B.4B22.A8.12B2.B$148.B.B3.4B21.A.AB6.14B$147.3B5.4B10.A10.2AB.3B
2.15B$147.B2AB5.4B7.3A12.22B.2B$148.2A7.4B5.A15.3B3A18B2A$158.4B4.2A 15.2A19B.B2A$151.2A6.9B14.B2ABAB2A15B.B$152.A6.3B2A2B14.3B4A2BA11B$
152.A.2A5.6B3.B2.2B2.7BA4BA7B5.B$153.A2.A4.A3BABA17B4A7B$154.2AB3.5B
2A12BABA3B2A.7B$155.4BA4B2A13B2A6B2.6B$156.B3A3B2A15BA6B3.6B$157.2BA 4B2A20B6.4B$157.8B2A7B.B.2B12.B2A2B$158.3BA3BABA5B4.3B12.2A.B2A$158.
8B2A5B5.A2B.2A11.BA.A$159.3B2A2BA5B5.A.A2B.A14.A$161.2B3A8B2.A.AB2.A
15.2A$160.4BA3B4.2A.A.A3.A$160.6B6.2ABA2.4A.A$160.5B8.B2.A.A3.A.A$
160.B.B9.2A.2A2.A2.A.A$161.3B9.A.A2.2A3.A$160.B2AB9.A.A$161.2A11.A!  dvgrn Moderator Posts: 7641 Joined: May 17th, 2009, 11:00 pm Location: Madison, WI Contact: ### Re: Thread for your unsure discoveries Jormungant wrote:Still, this might not be practical as it may collide with other gliders most of the time, but could be used a few times none the less. As long as there's a little space in front of the recipe -- i.e., it isn't one of those annoying cases where the salvo period is pushed so low that one recipe follows hard on the heels of the previous one -- then it seems as if this method will be usable in quite a large number of cases. With that H-to-2G available, this insertion method is no more expensive than any of the other known "assisted edge shooters". And it can insert a glider only 15 ticks in front of another glider on the same lane, so it's just one tick away from the best it could be: Code: Select all x = 246, y = 254, rule = LifeHistory 71.A11.2A$70.A.A10.2A$62.A3.2A2.A.A$61.A.A2.A2.2A.2A$61.A.A3.A.A$62.A
.4A2.A.2A$64.A3.A.A.2A$46.2A15.A3.A.A$47.A14.A3.A.A$47.A.A12.2A3.A$48.2A2.2A23.A.A$52.2A21.A2.2A$74.3A3$90.2A$89.A2.A$90.2A.A$52.A40.A$
51.3A39.2A$38.2A10.5A23.2A$38.2A9.2A2.A25.A16.2A$46.2A2.A.2A22.3A17. 2A$46.2A2.2A.3A8.2A10.A$48.A.A13.A.A$53.2A11.A$55.A10.2A40.2A$52.A29.
2A24.2A7.2A$52.A30.A33.A$83.A.A29.A.A$73.A10.2A10.3A16.2A$52.2A17.3A
21.A3.A$52.2A16.A20.A3.2A3.A$70.2A19.A6.3A$55.2A41.A$56.A41.2A$56.A. 2A38.A$57.A2.A46.A17.A$58.2A35.A10.A.A.2A13.3A$73.3A18.A9.3A.A.A17.A$75.A18.A4.A3.A3.A4.A14.A.A$74.2A28.A2.A.4A14.A.A$70.2A24.A8.A.A.A18.A$70.A25.2A3.A4.A3.3A$82.A3.2A11.2A.A9.A$81.A.A3.A14.A$80.A.A3.A15.2A$
76.2A.A.A3.A57.2A$76.2A.A2.4A.A55.2A$80.A.A3.A.A$76.2A.2A2.A2.A.A39.A .A$77.A.A2.2A3.A41.2A$65.2A10.A.A43.2A4.A$65.2A11.A43.A.A$122.A$121.
2A7.2A$130.2A2$138.2A.A$138.2A.3A$144.A$138.2A.3A$137.A2.2A$136.A.A$
118.A10.A5.A.A.2A.A$118.3A7.3A5.A2.A.2A$90.2A29.A9.A7.A$91.A28.2A6.2A .2A5.2A$91.A.A21.A11.2A.2A3.A.A2.2A$92.A.A20.3A9.2A.2A3.2A2.A2.A$93.A
3.2A19.A9.A2.A8.2A$97.2A18.2A10.3A$86.2A41.2A$85.A.A$85.A88.2A$82.2A. A7.3A78.A$82.2A.A.2A4.A.A.2A73.A.A$86.A2.A3.A.A2.A15.2A55.A.A5.A$87.
2A9.3A13.2A17.2A32.2A3.A5.A.A$99.2A32.2A32.2A9.A.A$85.4A10.A77.2A.3A$84.A2.A95.A$84.2A3.A44.2A41.2A.3A$88.2A44.A42.2A.A$121.2A12.3A$122.A 14.A47.A$119.3A61.3A$119.A62.A$181.A.A$182.A2$109.A$107.A.A70.2A$108.
2A4.A65.2A$115.A50.A$113.3A50.2A$165.A.A21$141.3A$143.A$142.A8$205.A 11.2A$204.A.A10.2A$196.A3.2A2.A.A$195.A.A2.A2.2A.2A$195.A.A3.A.A$196.
A.4A2.A.2A$198.A3.A.A.2A$180.2A15.A3.A.A$181.A14.A3.A.A$171.A9.A.A12.
2A3.A$171.3A3.A4.2A2.2A$174.A.A.A7.2A$171.4A.A2.A$164.3A4.A4.A3.A13.A
.A2.2A8.2A$164.A8.A.A.3A14.A2.2A10.2A$165.A6.2A.A.A16.A2.2A2.A14.A7.
2A$176.A18.2A2.A.A13.2A6.A2.A$215.A.A6.2A.A$227.A$227.2A$212.2A$213.A
16.2A$210.3A17.2A$167.2A29.2A10.A$166.A.A29.A.A$166.A33.A$165.2A7.2A 24.2A$174.2A40.2A$217.A$217.A.A$207.A10.2A$186.2A17.3A$186.2A16.A18. 3A18.2A$204.2A15.2A21.2A$189.2A30.2A.A.2A$190.A30.4A2.A$190.A.2A28.A 4.A$191.A2.A28.4A$192.2A13.A9.A.A3.2A$203.2A12.2A$202.2A14.A$203.2A$230.2A$230.2A2.2A$216.A3.2A12.A.A$215.A.A3.A14.A$214.A.A3.A15.2A$210.
2A.A.A3.A$210.2A.A2.4A.A$214.A.A3.A.A$87.A122.2A.2A2.A2.A.A$87.2A122.
A.A2.2A3.A$86.A.A110.2A10.A.A$199.2A11.A23$57.3A$59.A$58.A20$33.2A$34.2A$33.A24$.2A$A.A$2.A! Do any of those other 2G+G collisions allow a 14-tick delta, either in front of or (not likely, I think) behind an existing glider on the same lane? (EDIT: a quick inspection says "no", and only a few of them even allow a follower as close as 15 ticks.) It's a trivial exercise with the glider-pair adjustment toolkit to build a shotgun for any of those glider combinations, but simeks' direct H-to-2G converter is obviously going to win the prize for compactness! Speaking of which, "someone" should maybe put together a modern no-glider-crossings version of the two shotguns required to do the universal clock-based insertion, since that's guaranteed to make any finite salvo buildable. Though of course in terms of sneaking gliders into continuous streams, it would have bigger problems than this new three-glider solution... If anyone wants assistance tackling this clock-inserter problem I'd be delighted to help in any way, because otherwise "someone" is probably going to end up being me. I wonder if it's actually provably impossible to build a wide periodic stream of gliders, if it's guarded on the edges by something like a solidly packed lane of p14-separated gliders? There isn't any known way to fill the last gap in a p14 stream, working from just one side instead of the usual two sides... is there? Jormungant Posts: 296 Joined: May 27th, 2016, 1:01 am ### Re: Thread for your unsure discoveries Hi! There is a p448 gun that already exist in the variable section (see https://github.com/ceebo/glider_guns/tr ... r/variable); however, it is possible to lower it to a p440 gun by further compressing the pattern: Code: Select all x = 257, y = 88, rule = LifeHistory 24.A8.A6.4A80.A8.A6.3A71.A6.3A6.4A$21.A2.A5.A2.A5.A2.A78.A2.A5.A2.A5.
A3.A67.A2.A5.A3.A4.A2.A$21.A2.A5.A2.A5.A3.A77.A2.A5.A2.A5.A71.A2.A5.A 8.A3.A$21.A2.A5.A2.A5.A3.A77.A2.A5.A2.A5.A3.A67.A2.A5.A3.A4.A3.A$21. 5A4.5A4.A3.A77.5A4.5A5.3A68.5A5.3A5.A3.A$24.A8.A5.A3.A80.A8.A5.A3.A
70.A5.A3.A4.A3.A$24.A8.A5.A3.A80.A8.A9.A70.A9.A4.A3.A$24.A8.A6.A2.A
80.A8.A5.A3.A70.A5.A3.A5.A2.A$24.A8.A5.4A81.A8.A6.3A71.A6.3A5.4A20$
27.A11.2A84.A11.2A76.A11.2A$26.A.A9.B2AB82.A.A9.B2AB74.A.A9.B2AB$9.2A
7.A3.2A2.A.A9.3B66.2A7.A3.2A2.A.A9.3B58.2A7.A3.2A2.A.A9.3B$8.B2AB5.A. A2.A2.2A.2A9.B.B64.B2AB5.A.A2.A2.2A.2A9.B.B56.B2AB5.A.A2.A2.2A.2A9.B. B$8.4B5.A.A3.A.A2.B8.5B64.3B6.A.A3.A.A2.B8.5B56.4B5.A.A3.A.A2.B8.5B$9.B.B6.A.4A2.AB2A6.6B65.B.B6.A.4A2.AB2A6.6B57.B.B6.A.4A2.AB2A6.6B$7.
5B8.A3.A.A.2A4.8B63.5B8.A3.A.A.2A4.8B55.5B8.A3.A.A.2A4.8B$7.5B7.A2.BA .A2.13B64.5B7.A2.BA.A2.13B56.5B7.A2.BA.A2.13B$6.6B6.A.2BA.A5.13B61.5B
7.A.2BA.A5.13B53.6B6.A.2BA.A5.13B$6.6B6.2A.2BA5.15B60.6B6.2A.2BA5.15B 52.6B6.2A.2BA5.15B$5.7B10.3B4.15B59.7B10.3B4.15B51.7B10.3B4.15B$5.7B 11.2B.B.17B58.7B11.2B.B.17B50.7B11.2B.B.17B$6.7B3.29B6.C.2C49.7B3.29B
51.7B3.29B$6.7B2.4BC11B2A13B5.2C.C49.7B2.4BC11B2A13B50.7B2.4BC11B2A 13B$6.7B2.4B3C9B2A14B7.C.C47.7B2.4B3C9B2A14B3.2A.A42.7B2.4B3C9B2A14B$6.8B.4BCBC20B3.B2A3.A2C.C.A46.8B.4BCBC20B3.B2A2.A.2A42.8B.4BCBC20B.3B 2A$3.B2.15BC19B4.A2.A2.A3.A2.A42.B2.15BC19B4.A2.A.A3.2A3.2A32.B2.15BC
19B2.2BA2.A$2.2AB.19B2.2B2.B3.6B5.2A.A.A.2A.A.A41.2AB.19B2.2B2.B3.6B 5.2A.A.2A3.A2.A32.2AB.19B2.2B2.B3.6B2.2B.2A.A$2.2A18B14.6B5.C.A2.A.A.
A.2A40.2A18B14.6B7.A2.A.2A.A.A32.2A18B14.6B7.A$3.2B.14B14.9B4.C.A3.2B 2A.A2.A39.2B.14B14.9B6.2A2.A.A.A.2A32.2B.14B14.9B6.2A10.A$6.13B15.2A
4.4B4.C5.4B2.2A42.13B15.2A4.4B10.2B2A.A2.A33.13B15.2A4.4B11.2A3.A.A$3.2B.14B15.A5.4B6.7B43.2B.14B15.A5.4B10.4B2.2A30.2B.14B15.A5.4B11.A3. A2.A$2.2A16B12.3A7.4B3.8B43.2A16B12.3A7.4B6.7B33.2A16B12.3A7.4B10.A.
2A.A.A$2.2A14B.B2A10.C5.2A2.5B.8B44.2A14B.B2A10.A10.4B3.8B34.2A14B.B 2A10.C10.4B10.A.A.A.2A$3.2B.11B2.BA.A16.A4.12B45.2B.11B2.BA.A16.2A3.
2B2A.8B36.2B.11B2.BA.A21.4B10.2B2A.A2.A$6.11BA4.A16.A.AB2.11B.2B45. 12B4.A17.A4.BABA8B39.11BA4.A22.4B10.4B2.2A$6.6B3.ABAD3.2A5.C10.2AB.
14B2A44.8B.4B3.2A16.A.AB2.A10B.2B36.9BABAD3.2A22.B3D6.7B$5.7B3.B2ABD 7.3A12.16B2A43.8B3.4B10.A10.2AB.14B2A34.11B2ABD27.DB2A11B$4.7B6.3DB5.
A15.14B.2B43.7B6.4B7.3A12.16B2A33.7B6.3DB22.2A3.DABA9B$2A2.4B5.C4.4B 4.2A15.13B42.2A2.4B10.4B5.A15.14B.2B30.2A2.4B10.4B22.A4.A11B$A2.A.2A
2B3.A.C4.9B14.14B.2B39.A2.A.2A2B10.4B4.2A15.13B33.A2.A.2A2B10.4B21.A.
AB2.11B.2B$2.2A.A.A.A2.A.C5.6B14.18B2A40.2A.A.A.A2.2A6.9B14.14B.2B32. 2A.A.A.A10.4B10.C10.2AB.14B2A$3.A.A.2A.A.A.2A5.6B3.B2.2B2.19B.B2A41.A
.A.2A.A2.A7.6B14.18B2A32.A.A.2A.A10.4B7.3A12.16B2A$3.A2.A3.A2.A2.A4. 19BC15B2.B42.A2.A3.2A.A.2A5.6B3.B2.2B2.19B.B2A32.A2.A3.A11.4B5.A15. 14B.2B$4.A.C.2CA3.2AB3.20BCBC4B.8B44.2A3.2A3.A.A2.A4.19BC15B2.B34.A.A
3.2A11.4B4.2A15.13B$5.C.C7.14B2A9B3C4B2.7B51.2A.A2.2AB3.20BCBC4B.8B 38.A10.CA6.9B14.14B.2B$7.C.2C5.13B2A11BC4B2.7B51.A.2A3.14B2A9B3C4B2.
7B50.A7.6B14.18B2A$7.2C.C6.29B3.7B59.13B2A11BC4B2.7B50.A.2A.2B2.6B3.B 2.2B2.19B.B2A$17.17B.B.2B11.6B.BA57.29B3.7B51.A2.A2B2.19BC15B2.B$18. 15B4.3B10.7BA.A56.17B.B.2B11.6B.BA49.2A3B.20BCBC4B.8B$18.15B5.A2B.2A
6.8BA58.15B4.3B10.7BA.A49.14B2A9B3C4B2.7B$19.13B5.A.A2B.A6.6B.B59.15B 5.A2B.2A6.8BA51.13B2A11BC4B2.7B$21.13B2.A.AB2.A7.5B63.13B5.A.A2B.A6.
6B.B53.29B3.7B$20.8B4.2A.A.A3.A8.6B64.13B2.A.AB2.A7.5B56.17B.B.2B11. 6B.BA$20.6B6.2ABA2.4A.A4.2AB.5B62.8B4.2A.A.A3.A8.6B56.15B4.3B10.7BA.A
$20.5B8.B2.A.A3.2A3.A.AB3.4B61.6B6.2ABA2.4A.A4.2AB.5B55.15B5.A2B.2A6. 8BA$20.B.B9.2A.2A.A.A6.A7.4B60.5B8.B2.A.A3.2A3.A.AB3.4B55.13B5.A.A2B.
A6.6B.B$21.3B9.A.A3.A.3A2.2A8.4B59.B.B9.2A.2A.A.A6.A7.4B56.13B2.A.AB 2.A7.5B$20.B2AB9.A.A4.A2.A13.4B59.3B9.A.A3.A.3A2.2A8.3BA54.8B4.2A.A.A
3.A8.6B$21.2A11.A6.2A15.4B57.B2AB9.A.A4.A2.A13.3BA53.6B6.2ABA2.4A.A4. 2AB.5B$59.4B57.2A11.A6.2A15.3A53.5B8.B2.A.A3.2A3.A.AB3.4B$60.3B150.B. B9.2A.2A.A.A6.A7.4B$214.3B9.A.A3.A.3A2.2A8.4B$213.B2AB9.A.A4.A2.A13. 3BA$214.2A11.A6.2A15.3BA$252.3AB$253.4B$254.3B$255.2B\$256.B!

it is not the smallest p440 gun, but up to 5 gliders with various phases can be produced every 440 generations.

chris_c
Posts: 966
Joined: June 28th, 2014, 7:15 am