Let's find a G-to-X (Done!)

[confocaloid]

[...] Are there any other known G-to-H converters with the same input glider lane and the same timing? Are there any other known G-to-H converters with the same input glider lane? [...]

There is another reasonably small and quick G-to-H converter with the same input glider lane. This converter delivers the output Herschel 48 ticks earlier, so the p653 gun I posted earlier will become a p605 gun if the G-to-H is replaced.

To assemble the converter, it suffices to connect the 8-lane stable glider shifter to the Speed Tunnel.
(Curiously, in both posts, the discoverers expressed doubt about usefulness of the devices. Maybe connecting the two components together is one of those "very niche uses"?)

Here are the two converters (first pattern below) and an oscillator made using both G-to-H and two copies of one H-to-G (second pattern below):

Code: Select all

#C [[ T 145 PAUSE 1 STOP 187 ]]
x = 68, y = 134, rule = LifeHistory
29.3D2.5D8.3D3.3D$28.D3.D.D11.D3.D.D3.D$28.D5.D15.D5.D$29.3D2.3D3.5D
3.2D4.2D$32.D.D15.D5.D$28.D3.D.D11.D3.D.D3.D$29.3D2.5D8.3D3.3D5$16.DB
$16.B2D$16.2D2B$17.4B$18.4B$19.4B32.D$20.4B31.D.D$21.4B30.3D$22.4B31.
D$23.4B$24.4B$25.4B$26.4B$27.4B$28.4B$29.4B$30.4B$31.4B$32.4B$33.4B$
34.4B$35.4B$36.4B23$60.2B$59.5B$32.2A24.7B$33.A6.2A15.8B$33.A.AB.2B2A
B14.9B$16.CB16.2AB.4B15.10B$16.B2C11.A4.8B15.8BA$16.2C2B4.A5.3A3.9B
12.8BABA$17.4B3.3A6.A2.9B10.10BABA$18.4B5.A4.2A.3B2D6B2.2B2.14BAB$19.
4B3.2A4.5BD2B2D13BD11B$20.4B2.4B4.4BD2BD13BDBD9B$21.4B3.2B2.7B3D2B2A
9B3D7B$22.22B2A11BD7B$23.38B2.B$24.18B.2B.3B.B.2B$25.16B11.3B$26.17B
10.A2B.2A$27.17B8.A.A2B.A$25.20B6.A.AB2.A$24.10B2A9B6.A4.A$24.10B2A7B
.B2A3.2A5.3A$24.17B3.BA.A11.A$22.2AB.16B5.A$21.A.AB3.13B6.2A$21.A4.
14B$20.2A4.2A4.8B$27.A4.9B$24.3A6.8B$24.A11.3B.B2A$34.5B.BA.A$34.2A7.
A$35.A7.2A$32.3A$32.A8$21.2A$4.CB15.2A$4.B2C8.2A$4.2C2B6.A.A2.4A$5.4B
5.A.A.A4.A5.2A$6.4B5.A.A.ABABA6.A4.2A.2A$7.4B6.A.A.2A4.3A6.A.A$8.4B4.
ABA4B4.A2.3A.A5.A.2A$9.4B.3BA2B4.BA.A.A2.A.2A3.2A.A.A15.2B$2.A7.8B3.
2B.B2A2.A2.B2.BA.AB2.B2.A13.5B$.A.A7.8B2.4B4.7AB.B7A12.7B$A2.A6.15B8.
3B.B.3B15.8B$2A.2AB3.16B6.3AB.3B.B3A13.9B$.A.B.BA19B4.A.BA3BA3BAB.A
12.10B$A2.4A5B2AB2A5B.4B3.2A3.BABAB3.2A13.8BA$.2A2.7B2AB2A5B2.4B7.BAB
AB17.8BABA$3.2A17B3.4B6.2BA2B.B13.10BABA$3.A.B.15B4.4B6.B.B.5B3.2B2.
14BAB$4.A4.13B5.4B2.22BD11B$.3A9.9B6.27BDBD9B$.A11.10B6.7B3D5B2A9B3D
7B$13.10B7.6BD2BD4B2A11BD7B$14.7B10.4BD2B2D21B2.B$12.9B11.3B2D2BDB2.B
2.3B.4B$8.2A2.6B15.9B9.2B3.B$8.A2.AB2A.2B8.2A5.9B9.3B.B2A$9.3ABABAB9.
A.A4.9B10.A3B2A$13.A.A2.A9.A4.2B2A3B.B2A7.A.AB.B$11.3A.4A9.3A.2BA2BA
2B.BA.A5.A.AB$10.A3.A11.2A2.BA3BABAB5.A5.A$10.2A2.A.A8.A2.4A4BA4B3.2A
3.2A$15.2A8.2A.A.4B5.2A$28.A.2A7.A$28.A.A9.3A$27.2A.A.A9.A$31.2A!

Code: Select all

#C [[ THEME LifeHistory ]]
x = 108, y = 68, rule = B3/S23
49bo$47b3o$37b2o7bo$38bo7b2o$38bobo$39b2o16bo$55b3o$54bo$54b2o4b2o$33b
o26bo$32bobo23bobo$32bobo23b2o$8b2o21b2obobo$9bo21bo3b2o9b2o$9bobo17bo
bo14b2o$10b2o16bobo$24b2o3bo$24b2o2$7bo$6bobo$7bo16bo11b2o$24b3o9b2o$
26bo$26bo27b2o$48b2o4bo$48bo6b3o$49b3o5bo$51bo$46b2o44b2o$40b2o4bobobo
42bo$40b2o6bob3o38bo$2b2o44bo4bo37b5o$bobo43b2o3b2o41bo$bo39b2o46b4o$
2o38bobo2b4o40bo2bo$40bobobo4bo5b2o$41bobobobobo6bo4b2ob2o$43bobob2o4b
3o6bobo$15bo2bo23bobo8bo2b3obo5bob2o36b2o$15b4o24bo7bobobo2bob2o3b2obo
bo35bo$12bo15bo22b2o2bo6bobo6bo32bobo$12b5o10bobo25b7o3b7o32b2o$16bo9b
o2bo$14bo11b2ob2o26b3o7b3o$14b2o11bo4bo23bo2bo3bo3bo2bo$26bo2b4o5b2ob
2o13b2o4bobo4b2o$27b2o9b2ob2o19bobo$29b2o32bo$29bo$30bo50bo$27b3o51bob
o$27bo42b2o9b3o$70b2o11bo16bo$99bobo$100bo$34b2o$34bo2bob2o11b2o28b2o$
35b3obobo10bobo23bo3b2o$39bobo2bo9bo6b2o5b2o7bobo16b2o$37b3ob4o9b3o3bo
2bo4bobo5bobo17bobo$36bo3bo11b2o3bo3bobo6bo5bo21bo$36b2o2bobo8bo2b4o4b
o7b2o3b2o21b2o$41b2o8b2obo10b2o$54bob2o7bo$54bobo9b3o$53b2obobo9bo$57b
2o!

[confocaloid]

Crosspost:

This has to be known (because of the octohash database), but I found a transparent beehive reaction while playing around in Golly:

Code: Select all

x = 11, y = 9, rule = B3/S23
$8b2o$2bo4bo2bo$obo4bo2bo$b2o5b2o2$3b2o$2bo2bo$3b2o!

Then I got insanely lucky and found a DOUBLE transparent beehive reaction:

Code: Select all

x = 14, y = 9, rule = B3/S23
$8b2o$2bo4bo2bob2o$obo4bo2bob2o$b2o5b2o2$3b2o$2bo2bo$3b2o!

The beehive is regenerated even if the other still life isn't technically a pond, it also works with a bipond. This might be used to create a reflector or a G-to-X.

Combining a variant of first reaction with a known pond factory gives a sparker with dubious usefulness:

Code: Select all

x = 73, y = 58, rule = B3/S23
12bo$12b3o$15bo$14b2o2$17b2o$16bobo$16b2o2$6b2o$7bo15b2o$7bobo13b2o4b
2o$8b2o18bo2bo$29b2o$2o$bo$bobo$2b2o7$2bo$2bobo$2b3o$4bo3$11b2o3b2o$
12bo3bo$9b3o5b3o$9bo9bo22$70b3o$70bo$71bo!

x = 78, y = 60, rule = LifeHistory
13.A$13.3A$16.A$15.2A$15.4B$17.B2A$16.BA.A$16.B2A$16.3B$7.2A5.5B$8.A
5.5B5.2A$8.A.AB.6B4.B2AB.2B2A$9.2AB.7B2.4B2.BA2BA$11.10B2.7B2AB$.2A8.
12B.10B$2.A8.14B2D7B$2.A.AB6.12BD2BD7B$3.2AB.3B3.11BD2BD2B2.4B$5.20B
2D2B4.4B$5.24B5.4B$6.18B.2BD7.4B$5.17B3.BDB8.4B$3.18B5.D10.4B$.19B18.
4B$.2BC16B19.4B$3BCBC4B.9B20.4B$.2B3C4B2.7B22.4B$.4BC4B3.5B24.4B$2.7B
5.4B25.4B$12.7B25.4B$12.2A.B.2A26.4B$13.A3.A28.4B$10.3A5.3A26.4B$10.A
9.A27.4B$49.4B$50.4B$51.4B$52.4B$53.4B$54.4B$55.4B$56.4B$57.4B$58.4B$
59.4B$60.4B$61.4B$62.4B$63.4B$64.4B$65.4B$66.4B$67.4B$68.4B$69.4B$70.
B3A$71.A3B$72.A3B$73.4B$74.4B!

[Anivec]

Here’s a failed reflector found by Adam P Goucher:

Code: Select all

x = 27, y = 25, rule = LifeHistory
22.A$20.3A$10.2A7.A$11.A7.2A$11.A.A$12.2A3$2A$.A$.A.A13.2C6.2A$2.2A
13.2C6.2A5$23.2A$23.A.A$25.A$4.2A19.2A$3.A.A$3.A$2.2A5.3A$11.A$10.A!

[Jormungant]

Not sure why did not remove the blinker in the back, it is kind of free, but remains to find a good catalyst for the hive, but there might be no useful solution:

Code: Select all

x = 26, y = 25, rule = LifeHistory
9.2A8.2A$10.A8.A.A$10.A.A7.2A$11.2A5$16.2C6.2A$16.2C6.2A5$22.2A$A21.A
.A$3A21.A$3.A20.2A$2.A2.A$2.4A$8.3A$4.2A4.A$4.A4.A$2.A.A$2.2A!

[Entity Valkyrie 2]

A little something:

Code: Select all

x = 35, y = 44, rule = B3/S23
19bo$17b3o$16bo$16b2o$28b2o$13b2o13bobo$13bobo13b2o$14b2o5$25b2o6b2o$
24bobo6b2o$25bo4$31b2o$31bobo$33bo$11b2o20b2o$10bobo$10bo7b2o$9b2o6bob
o$18bo5$11b2o$12b2o$11bo4$6b2o$7b2o$6bo3$2o$b2o$o!

EDIT by dvgrn, for the usual reason that interesting patterns with no labels are just horribly difficult to find a year later:

Paleo-Spartan near miss, an almost-3x-pulse-divider: input is a G1|-1 triplet, output is a perpendicular glider the same color as the middle glider.

[confocaloid]

mvr just discovered the new smallest Herschel duplicator! It is a stable, Spartan form of Lx65 with an additional R64 output.

Code: Select all

x = 28, y = 28, rule = B3/S23
14b2o$15bo$15b3o3$2o23bo$bo21b3o$bobo18bo$2b2o18b2o3$22bo$21bobo$20bo
2bo2b2o$21b2o3b2o$2bo$2bobo$2b3o15b2o$4bo15b2o7$14b3o$14bo$13b2o!

[...]

There are many known H-to-2G converters, but how about a Spartan G-to-2H that seems interesting enough to post?

A F166 conduit is used, to connect Thessalonic G-to-H [1] to the new Spartan Lx65&R64 (with output Herschels routed into two more instances of F166).

I think it can handle input gliders separated by 115 ticks.

Code: Select all

x = 110, y = 142, rule = B3/S23
98b2o$98b2o4$105b2o$105b2o2$93b2o$94bo$94b3o13$80b2o$79bobo$79bo$78b2o
15b2o$95b2o7b2o$104bo$102bobo$102b2o$85b2o$85b2o$75b2o$76bo$76bobo$77b
2o9$81b2o$80bobo$80bo$79b2o6$96b2o$96b2o2$87b2o7b2o$88bo8bo$85b3o9b3o$
85bo$12b2o$13bo6b2o60b2o23bo$13bobo4b2o45bo15bo21b3o$14b2o49b3o15bobo
18bo$10bo53bo19b2o18b2o$4bo5b3o51b2o$4b3o6bo$o6bo4b2o90bo$b2o3b2o27bo
67bobo$2o33bo66bo2bo2b2o$24b2o9b3ob2o62b2o3b2o$24b2o11bob2o26b2o15bo$
67b2o15bo$84b3o15b2o$86bo15b2o4$14b2o$14b2o9b2o9b2o$25bobo7bobo46bo$2b
2o23bo7bo26b2o20b3o9b3o$bobo23b2o5b2o26b2o23bo8bo$bo84b2o7b2o$2o4b2o$
7bo40b2o45b2o$4b3o42bo20b2o23b2o$4bo16b2o23b3o22bo$21bobo22bo21b3o$14b
2o7bo34b2o8bo$15bo7b2o33bo$12b3o44b3o$12bo48bo16b2o$79bo$79bobo$80b2o
9$76b2o$75bobo$75bo$74b2o$84b2o$84b2o$101b2o$101bobo$103bo$94b2o7b2o$
77b2o15b2o$78bo$78bobo$79b2o13$93b3o$93bo$92b2o2$104b2o$104b2o4$97b2o$
97b2o!

[1]: by the way, several patterns currently shown in the page don't show the output (which in the wiki is normally done using a ghost Herschel), I think someone should correct the pattern RLEs to show the ghost Herschels (related post188149).

[Entity Valkyrie 2]

I think it can handle input gliders separated by 115 ticks.

Code: Select all

x = 110, y = 142, rule = B3/S23
98b2o$98b2o4$105b2o$105b2o2$93b2o$94bo$94b3o13$80b2o$79bobo$79bo$78b2o
15b2o$95b2o7b2o$104bo$102bobo$102b2o$85b2o$85b2o$75b2o$76bo$76bobo$77b
2o9$81b2o$80bobo$80bo$79b2o6$96b2o$96b2o2$87b2o7b2o$88bo8bo$85b3o9b3o$
85bo$12b2o$13bo6b2o60b2o23bo$13bobo4b2o45bo15bo21b3o$14b2o49b3o15bobo
18bo$10bo53bo19b2o18b2o$4bo5b3o51b2o$4b3o6bo$o6bo4b2o90bo$b2o3b2o27bo
67bobo$2o33bo66bo2bo2b2o$24b2o9b3ob2o62b2o3b2o$24b2o11bob2o26b2o15bo$
67b2o15bo$84b3o15b2o$86bo15b2o4$14b2o$14b2o9b2o9b2o$25bobo7bobo46bo$2b
2o23bo7bo26b2o20b3o9b3o$bobo23b2o5b2o26b2o23bo8bo$bo84b2o7b2o$2o4b2o$
7bo40b2o45b2o$4b3o42bo20b2o23b2o$4bo16b2o23b3o22bo$21bobo22bo21b3o$14b
2o7bo34b2o8bo$15bo7b2o33bo$12b3o44b3o$12bo48bo16b2o$79bo$79bobo$80b2o
9$76b2o$75bobo$75bo$74b2o$84b2o$84b2o$101b2o$101bobo$103bo$94b2o7b2o$
77b2o15b2o$78bo$78bobo$79b2o13$93b3o$93bo$92b2o2$104b2o$104b2o4$97b2o$
97b2o!

Well... remember that Lx200 exists (repeat time 112):

Code: Select all

x = 116, y = 116, rule = B3/S23
103b2o$45b2o57bo$45bo58b3o$43b3o15$105b2o$43b2o60b2o7b2o$34b2o7b2o69bo
$35bo76bobo$35bobo74b2o$36b2o2$98b2o$50b2o45bobo$50bobo44bo$52bo43b2o$
52b2o20b2o$74b2o$82b2o$82bo$75b2o3bobo$74bo2bo2b2o$70b2o2bobo$70b2o3bo
3$86bo$63bo22bo$63bo22b3ob2o$58b2ob3o24bob2o$58b2obo4$114b2o$34b2o78b
2o$34b2o$87b2o$61b2o23bobo$61bobo6b2o14bo27b2o$34b2o27bo7bo8b2o3b2o27b
2o$34b2o27b2o6b3o6bo19b2o$48b2o31b3o15bobo$48bobo32bo15bo$50bo47b2o8b
2o$40b2o8b2o56bo$41bo67b3o$38b3o23b2o45bo$38bo24bobo$63bo$62b2o7$72b2o
$72b2o7b2o$o80bo$b2o76bobo$2o77b2o3$65b2o$64bobo$64bo$63b2o3$30b2o$31b
o6b2o$31bobo4b2o$32b2o$28bo$22bo5b3o$22b3o6bo$25bo4b2o$24b2o27bo$53bo$
42b2o9b3ob2o$42b2o11bob2o5$81b2o$28bo52b2o$29b2ob2o$28b2o2b2o9b2o9b2o$
43bobo7bobo$20b2o23bo7bo27b2o$19bobo23b2o5b2o27b2o$19bo47b2o$18b2o4b2o
40bobo$25bo40bo$22b3o40b2o8b2o$22bo16b2o34bo$39bobo34b3o$32b2o7bo36bo$
33bo7b2o$30b3o$30bo!

[Period1GliderGun]

A version of the high-clearance G-to-block that doesn't require a big catalyst:

Code: Select all

x = 25, y = 24, rule = B3/S23
15b2o$15b2o$19b2o$18bobo$18bo$17b2o2$20b2o$21bo$7bobo8b3o$8b2o8bo$8bo
10b2o$20bo2bo$9b2o5b2o2bobobo$8bo2bo4bobobo2bo$4b2o3bobo6bobo$2obobo4b
o7b2o$bobo9b2o$o2b2o8bo$b2o11b3o$3b2o11bo$3bo$4bo$3b2o!

[dvgrn]

A version of the high-clearance G-to-block that doesn't require a big catalyst...

Nice find!

I suppose the optional extra 3fd of clearance on the southwest side doesn't really matter, since NE or SW gliders can't make it past the block catalyst anyway if they're that close. But here's a LifeHistory pattern showing the location of the big catalyst in the previous high-clearance G-to-block.

Code: Select all

x = 27, y = 27, rule = LifeHistory
25.2D$24.D.D$24.D$15.2A6.2D.D$15.2A4.D3.2D$19.2A3D$18.A.A3.3D$18.A2.3D
2.D$17.2A.D2.D.D$21.2D2.2D$20.2AD.D$21.AD.D$7.A.A8.3A2.D$8.2A8.A$8.A10.
2A$20.A2.A$9.2A5.2A2.A.A.A$8.A2.A4.A.A.A2.A$4.2A3.A.A6.A.A$3.A.A4.A7.
2A$3.A9.2A$.A.2A8.A$A.A11.3A$A2.2A11.A$.A.A$2A2.A$3.2A!

Looks like an improvement according to every metric that I can think of!

[C28]

A version of the high-clearance G-to-block that doesn't require a big catalyst:

Code: Select all

x = 25, y = 24, rule = B3/S23
15b2o$15b2o$19b2o$18bobo$18bo$17b2o2$20b2o$21bo$7bobo8b3o$8b2o8bo$8bo
10b2o$20bo2bo$9b2o5b2o2bobobo$8bo2bo4bobobo2bo$4b2o3bobo6bobo$2obobo4b
o7b2o$bobo9b2o$o2b2o8bo$b2o11b3o$3b2o11bo$3bo$4bo$3b2o!

wait i thought that was already known. it's certainly simple enough

[Period1GliderGun]

Not sure if periodic G-Xs belong in this thread, but here is a p7 G-H based on the start of the Silver reflector:

Code: Select all

x = 47, y = 34, rule = B3/S23
27bo2bo$26bo$25bo5bo$25bo4b2o$26bo$27bo$23bob4o$24bo3bo$26bo3bo$26b4o
bo$11bo15bo$12bo4bo10bo$10b3o4b3o3b2o4bo$20bo2bo5bo$19b2o7bo$24bo2bo5$
44bo$44bo$33b2o9b3o$6bo5b2o19b2o11bo$7bo4bo2bo5b2o$2b2o2bo13bo2bo$bo2b
obob2o11b2o$o4b2o2b2o4bo$6b2obobo2bo$9bo2b2o$o2bo4bo14b2o$2b2o5bo13bo
$24b3o$26bo!

It only works at p7 or p13; no p13 sparkers exist with the same frontend as 34P7 (66P13 and friends don't fit). The 34P7 in the bottom left can be replaced with a meatball or a 41P7 to minimize bounding box.

[affamatodidio]

Found another galumpher-based 180 degree reflector.

Code: Select all

x = 41, y = 45, rule = B3/S23
4bo$4b3o$7bo$6b2o4$3b2o$3b2o10bo7b2o$14bobo6bobo$14bobo8bo$15bo9b2o2$
bo20b2o$2bo19b2o$3o27b2o$29bobo3bo$29bo4bobo$28b2o4bobo$33b2ob3o$39bo
$33b2ob3o$33b2obo2$2b2o$3bo$3bobo$4b2o2$39b2o$39b2o8$21b2o$21b2o4$18b
2o$18b2o!

EDIT by dvgrn: It's a color-changing reflector, 26hd separation between opposing lanes I believe; only 11 neo-Spartan catalysts, just one more catalyst than the old boojum reflector had, so it's just about equally glider-constructible. But this new reflector is much more useful, because unlike in the boojum reflector, the lanes are plenty far enough apart to allow inputs and outputs to be guided in and out by Snarks from a safe distance.

Repeat time is 141, though it looks like it ought to be higher; it's a period doubler at p138 and p140.

[Entity Valkyrie 2]

Not sure if periodic G-Xs belong in this thread, but here is a p7 G-H based on the start of the Silver reflector:

Code: Select all

x = 47, y = 34, rule = B3/S23
27bo2bo$26bo$25bo5bo$25bo4b2o$26bo$27bo$23bob4o$24bo3bo$26bo3bo$26b4o
bo$11bo15bo$12bo4bo10bo$10b3o4b3o3b2o4bo$20bo2bo5bo$19b2o7bo$24bo2bo5$
44bo$44bo$33b2o9b3o$6bo5b2o19b2o11bo$7bo4bo2bo5b2o$2b2o2bo13bo2bo$bo2b
obob2o11b2o$o4b2o2b2o4bo$6b2obobo2bo$9bo2b2o$o2bo4bo14b2o$2b2o5bo13bo
$24b3o$26bo!

It only works at p7 or p13; no p13 sparkers exist with the same frontend as 34P7 (66P13 and friends don't fit). The 34P7 in the bottom left can be replaced with a meatball or a 41P7 to minimize bounding box.

I found a catalyst that can replace the bottom left sparker. The reaction consumes the boat which is restored by a boat-bit.

Code: Select all

x = 42, y = 34, rule = B3/S23
22bo2bo$21bo$20bo5bo$20bo4b2o$21bo$o21bo$b2o15bob4o$2o17bo3bo$21bo3bo$
21b4obo$22bo$12bo10bo$12b3o3b2o4bo$15bo2bo5bo$14b2o7bo$19bo2bo5$39bo$
39bo$28b2o9b3o$6b2o2bo17b2o11bo$6bo2bobo4b2o$7bob2o4bo2bo$5bobo8b2o$4b
ob2ob2o$4bo4bo$5b3obo$7b2o9b2o$18bo$19b3o$21bo!