Thread for your periodic conduits that do not necessarily involve Herschels

[Timelord Missionary]

Crossposting from the Oscillator discussion thread

A p32 by mvr can be p111 R hassler-ified into a p128:

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snip

Related to this, it's entirely possible to connect the p32 B hassler's periodic "L32" conduit to a standard Herschel conduit (L112) to create a p72 oscillator (easily adjustable to p96, p144 and p288):

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x = 54, y = 53, rule = B3/S23
17b2o$15b3obo$14bo4bo$14b2o3b3o$22bo23b2o$21b2o23bo$44bobo$40b2o2b2o$
2o38b2o$2obo$4bo12b2o11bo$bo15b2o9bob2o$2bob2o21b2obo$4b2o23bo6$46b2o$
28b2o16bobo$27bobo18bo$27bo13bo6b2o$26b2o4b2o4bo4bo$30bo2bo4bo5bo$11b
3o16b2o6bo$10bo2bo26bo2bo$15bo6b2o16b3o$9bo5bo4bo2bo$10bo4bo4b2o4b2o$
4b2o6bo13bo$5bo18bobo$5bobo16b2o$6b2o6$24bo23b2o$23bob2o21b2obo$22b2ob
o9b2o15bo$23bo11b2o12bo$50bob2o$12b2o38b2o$8b2o2b2o$7bobo$7bo23b2o$6b
2o23bo$32b3o3b2o$34bo4bo$34bob3o$35b2o!

[C28]

p2 U to Wing

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x = 40, y = 24, rule = B3/S23
2b2o24b3o$bobo24b3o$bo25bobo$2o25b2o9b2o$38b2o4$5bo$4b2o$4b2o$4bo2$32b
2o$12b2o17bo2bo$12bo2bo16b2o$13b3o21b2o$35bo2bo$9b2obob2o19b3o$9bob2o
bo17bo$14bo17b4o$14b2o19bo$34bo$34b2o!

(edit: reduced)

[confocaloid]

(edit: reduced)

I remember noticing that the version before reduction allowed replacing an eater 1 with an eater 2 so that the glider from the block-and-glider sequence would be harmlessly absorbed, but I no longer remember what it was. It doesn't seem to be possible to do the same in the reduced version anymore.

[C28]

I remember noticing that the version before reduction allowed replacing an eater 1 with an eater 2 so that the glider from the block-and-glider sequence would be harmlessly absorbed, but I no longer remember what it was. It doesn't seem to be possible to do the same in the reduced version anymore.

you mean this?

Code: Select all

x = 42, y = 24, rule = B3/S23
4b2o24b3o$3bobo24b3o$3bo25bobo$2b2o25b2o9b2o$40b2o3$3bob2o$b3ob2o$o$b
3ob2o$3bobo4bo$3bobo3b2o$4bo4b2o23b2o$9bo4b2o17bo2bo$14bo2bo16b2o$15b
3o21b2o$37bo2bo$11b2obob2o19b3o$11bob2obo17bo$16bo17b4o$16b2o19bo$36b
o$36b2o!

edit: p6 R-pentomino to U-turner

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x = 19, y = 13, rule = B3/S23
9bo$7b3o$6bo$6b2o2$13bobobo$2o7b2o4bo2bo$b2o6b2o2bo3b2o$bo7b2ob2o$10bobo$10b3o$8bob2o$7b2o!

edit 2: p16 U to glider

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x = 32, y = 21, rule = B3/S23
19b3o$19b3o$18bobo$18b2o$2o3bo$4bob2o19b2o$5b3o17bo2bo$bo6bo16b3o$obo
bobo2bo$b2obob3o16b2obo$26bob3o$b2obob3o16bo5bo$obobobo2bo16b5o$bo6bo
12bo6bo$5b3o12b3o$4bob2o11bob3o$2o3bo12bo3bo$17bo3bo$16b3obo$17b3o$18bo!

edit 3: it just deletes a block

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x = 30, y = 31, rule = B3/S23
18b3o$bo16b3o$obo4bo9bobo$bo4bobo8b2o$6bobo$7bo$27b2o$27bo$25bobo$25b
2o6$13bo12b2o$13bo12bobo$12b3o13bo$28b2o2$12b3o$13bo$13bo$13bo$13bo$12b
3o3$12b3o$13bo$13bo!

edit 4: p6 U to dove

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x = 21, y = 27, rule = B3/S23
18b2o$18bo$15b2obo$2b3o9bo2bo$2b3o9bo$bobo12bo$b2o12bo$12b2obobo$11bo
2b2ob3o$10b3obobo3bo$11bo2bobob2o$12b2obobo$15bobo$15b2o3$6b2o$5bo2bo
$6b2o$11b2o$2o7bo2bo$o8b3o$b3o2bo$3bo2b4o$9bo$8bo$8b2o!

[EvinZL]

p5 U-turner conduit

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x = 16, y = 15, rule = LifeHistory
2A4.2A$A.A2.A.A$2.A2.A$.A4.A$.6A$2.4A2$11.3C$11.3C$2.2A6.C.C$2.2A6.2C
$12.3D$12.3D$13.D.D$14.2D!

silk with parameters 10 10 13 finds this in a few seconds

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x = 24, y = 17, rule = LifeHistory
9.2A$10.A$8.A$6.4A$5.A4.2B5.B3C$6.4A3B.4B3CB$9.BA6BCBCB$8.ABA6B2C4B$
7.B2AB.7B3D2B$2A2.2B.4B2.6B3DB$A2.AB2A3B3.7BDBDB$.3ABABA5.8B2D$5.A.A
5.9B$.5A.3A4.7B$.A4.A3.A5.2B$4.A.A2.2A$4.2A!

[C28]

p5 U-turner conduit

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x = 16, y = 15, rule = LifeHistory
2A4.2A$A.A2.A.A$2.A2.A$.A4.A$.6A$2.4A2$11.3C$11.3C$2.2A6.C.C$2.2A6.2C
$12.3D$12.3D$13.D.D$14.2D!

silk with parameters 10 10 13 finds this in a few seconds

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x = 24, y = 17, rule = LifeHistory
9.2A$10.A$8.A$6.4A$5.A4.2B5.B3C$6.4A3B.4B3CB$9.BA6BCBCB$8.ABA6B2C4B$
7.B2AB.7B3D2B$2A2.2B.4B2.6B3DB$A2.AB2A3B3.7BDBDB$.3ABABA5.8B2D$5.A.A
5.9B$.5A.3A4.7B$.A4.A3.A5.2B$4.A.A2.2A$4.2A!

well now i just feel stupid.

[C28]

p2 U to G

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x = 25, y = 23, rule = B3/S23
23b2o$23bo$21bobo$21b2o$12b3o$12b3o$11bobo$11b2o4$20bo$2b2o15bo2bo$3bo15bo2bo$3o18bo$o8b2o$9b2o3b2o$14bobo$16bo$8bobo5b2o$8b2obo$11bo$11b2o!

the fishhook supresses a LoM that would otherwise destroy the toad

[ElijahKen]

P3 B to B:

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x = 20, y = 16, rule = LifeHistory
6.A$5.A.A2$5.A$5.2A$2.5A5.A2.A$2.2A.2A5.A2.A2.A$5.A3.A.2A2.3A.A$8.A.A
7.A$9.A2$7.A$.2D3.2A$2D3.2A$.2D3.2A$2.D!

[Entity Valkyrie 2]

P3 B to B:

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x = 20, y = 16, rule = LifeHistory
6.A$5.A.A2$5.A$5.2A$2.5A5.A2.A$2.2A.2A5.A2.A2.A$5.A3.A.2A2.3A.A$8.A.A
7.A$9.A2$7.A$.2D3.2A$2D3.2A$.2D3.2A$2.D!

Hmmm...

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x = 127, y = 27, rule = B3/S23
16bo9bo19bo9bo19bo9bo19bo9bo$5b3o8bo8bobo7b3o8bo8bobo7b3o8bo8bobo7b3o
8bo8bobo$5b2o9bo18b2o9bo18b2o9bo18b2o9bo$6b2o8b2o9bo8b2o8b2o9bo8b2o8b
2o9bo8b2o8b2o9bo$6bo12bo6b2o8bo12bo6b2o8bo12bo6b2o8bo12bo6b2o$9b2o4bo
4bo5b5o8b2o4bo4bo5b5o8b2o4bo4bo5b5o8b2o4bo4bo5b5o$6b2obo10bo5b2ob2o5b
2obo10bo5b2ob2o5b2obo10bo5b2ob2o5b2obo10bo5b2ob2o$7bo8b3o8bo9bo8b3o8bo
9bo8b3o8bo9bo8b3o8bo$7bo29bo29bo29bo3$119bo3bob2o$118b2o4b2o$117b2o5b
3o$118b2o4$22bo29bo29bo29bo$b3o8bo9bo8b3o8bo9bo8b3o8bo9bo8b3o8bo9bo$5b
o5b2ob2o5b2obo10bo5b2ob2o5b2obo10bo5b2ob2o5b2obo10bo5b2ob2o5b2obo$o4bo
5b5o8b2o4bo4bo5b5o8b2o4bo4bo5b5o8b2o4bo4bo5b5o8b2o$4bo6b2o8bo12bo6b2o
8bo12bo6b2o8bo12bo6b2o8bo$b2o9bo8b2o8b2o9bo8b2o8b2o9bo8b2o8b2o9bo8b2o$
bo18b2o9bo18b2o9bo18b2o9bo18b2o$bo8bobo7b3o8bo8bobo7b3o8bo8bobo7b3o8bo
8bobo7b3o$bo9bo19bo9bo19bo9bo19bo9bo!

[confocaloid]

Hmmm...

Looks like that could be used, with some difficulty, to carry p3-aligned signals orthogonally with unsimplified speed 10c/20, with signals carried by "B-heptomino and glider" pulses.

Unfortunately, the orthogonal standard spaceships (LWSS, MWSS, HWSS) can solve the same problem, with much less difficulty, and without restrictions on the timing other than repeat time of the circuit.

[Entity Valkyrie 2]

Hmmm...

Looks like that could be used, with some difficulty, to carry p3-aligned signals orthogonally with unsimplified speed 10c/20, with signals carried by "B-heptomino and glider" pulses.

As you could probably tell, this is just the sidewinder, but with the XWSSes at the front replaced with rows of P3 sparkers.

[confocaloid]

As you could probably tell, this is just the sidewinder, [...]

It seems to be much more interesting as a spaceship, in that context there is no expectation of immediate "utility" or "usefulness":

Code: Select all

#C https://conwaylife.com/wiki/Sidewinder
x = 12, y = 18, rule = B3/S23
8b4o$7bo3bo$11bo$7bo2bo3$2o5b2o$3bo3bobo$obo6bo$bo5b3o5$8b4o$7bo3bo$
11bo$7bo2bo!
#C [[ ZOOM 10 GRID TRACKLOOP 20 10/20 0/2 ]]

It might become an interesting extensible oscillator (with rows of sparkers) if there is a small periodic source of "B+glider"s and a small eater. With p3 sparkers, I think it could work at periods 27+3n (n >= 0).

[Gustone]

Has really no one before discovered that you can flip the output of the hotcrystal reflector?

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x = 25, y = 23, rule = DoubleB3S23
16.C$15.C$15.3C$24.A$22.3A$18.2B.A$17.B2.B2A$5.2C11.2B$5.2C$18.2A$2.
2C13.A2.A2B$.C.C14.2A.B$.C20.3B$2C22.B$5.2C$4.4C$3.C2.C.C$2.C.C2.2C$.
C.C$2C$3C$.C.C$2.2C!

[Jormungant]

eh??? that was is my face for some time, but this one I never saw before... Atop being a nice edgeshooter, this allows to have a shift by 2+2x, which with is also useful with the broad semi-snark family, for compacting stuff:

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x = 187, y = 93, rule = LifeHistory
11$130.2A2.A2.A$131.A2.6A$32.2A2.A2.A89.A2.2B6.A$33.A2.6A86.A.3A.7A$
31.A2.2B6.A86.A3.2A2.B.A$30.A.3A.6AB87.3A2.A3BA$31.A3.2A2.B.B90.A2.A
2BA$32.3A2.AB2AB94.AB$34.A2.A2BA94.2AB2.A$38.2B84.2A4.2B2.ABAB2.3A$
37.A2B2.A80.A2.A.B4A.2B7.A$26.2A4.2B2.2B2A2.3A78.3A2.6ABA6.2A9.A$25.A
2.A.5B.BA7.A80.9A7.5B4.A2BA$25.3A2.6B2A6.2A9.A69.A2.6B10.5B2.A2BA$28.
8AB7.5B4.A2BA68.2A.6B8.6BA2B.A$27.A2.6A10.5B2.A2BA73.3B3.3B2.2A4B3AB$
27.2A.B4AB8.9B.A74.3B3.6B3A2B2A2BAB$32.3B3.3B2.A6B2AB76.3B.B.6B3A3BAB
2A2B$31.3B3.7B2A3B2A3B64.2A8.15B2A2BA2BA2B3.A7.2B$31.3B.B.6BA7BABAB
62.B2AB6.16BABA4BAB3.A.A5.3A$20.2A8.17BA2BA4B3.A7.2B49.4B5.16BA2BA4BA
B2.2BAB5.3BAB$19.B2AB6.16B2A3BA3B3.A.A5.BAB50.2B5.A16BABA3B2AB2.B.2B
5.A3BAB$19.4B5.17B2A4BA2B2.B2AB5.ABA2B40.A7.4B2.A16B3A13B4.A.A2BA$20.
2B5.A22B2AB2.B.2A5.A3BAB39.A.A5.5B.B3A9BA4BA7B.2B2A3B2.A2BA.A$12.A7.
4B2.BABA5BABA6B2A10B2AB4.A.2BAB41.A.14B2.6B2A5B2A6B2.2BABA3BA3BA$11.A
.A5.5B.2B2A7B2A5BA4BA2B.3B2A2B2.BA2B.A44.14B5.11B2A5B4.2B2AB.BA3B$12.
A.14B2.6B2A5B3A5B2.3B2A3BA3BA45.14B6.5B.9B6.6B2.3A$13.14B5.18B4.3BAB.
2BABA46.4B2A2BD6B4.4B4.9B7.4B2.2B$13.14B6.5B.9B6.6B2.BAB45.5B2A2BDBD
5B4.4B3.9B6.B2A2B$13.4B2A2BD6B4.4B4.9B7.5B.2B46.9B2D7B3.2B2AB3.6B.B2A
5.2A20.2A$12.5B2A2BDBD5B4.4B3.9B6.B2A2B48.2AB.11B2.4B4.2A4.6B.BA.A17.
A8.A$12.9B2D7B3.2B2AB3.6B.B2A5.2A49.A.AB2.8B5.4B9.5B5.A15.3A5.BA.A$
10.2AB.11B2.4B4.2A4.6B.BA.A25.2A28.A5.10B4.4B9.3B6.2A13.A5.2A.B2A$9.A
.AB2.8B5.4B9.5B5.A16.A8.A28.2A5.B.B5.2A5.4B32.2A4.A.2B$9.A5.10B4.4B9.
3B6.2A13.3A5.BA.A36.3B4.A7.4B27.6B5.2AB$8.2A5.B.B5.2A5.4B31.A5.2A.3A
36.B2AB5.3A5.4B23.4B2AB5.B3A$16.3B4.A7.4B25.B4.2A4.A.2A39.2A8.A6.4B
20.6B2A3B3.2A$15.B2AB5.3A5.4B24.7B5.B2A57.4B18.13B.B2AB3.2A$16.2A8.A
6.4B20.5B2AB5.4B59.4B18.12B2.2B3.A2.A$34.4B18.6B2A3B3.2A62.4B17.13B2.
BAB2.3A$35.4B16.13B.B2AB3.2A57.4B5.B11.12B2.A.3A$36.4B14.14B2.2A3.A2.
A57.4B6.B10.10B4.A3.A$37.4B14.14B2.ABA2.3A58.4B5.3B2.A6.7B7.3A$38.4B
13.14B2.A.B2A62.4B6.B3A5.8B5.A.A$39.4B10.A2.12B4.A3.A62.4B4.BA.B5.10B
4.2A$40.4B7.3A3.9B7.3A64.4B4.2A5.11B$41.4B4.BA.B5.8B5.A.A67.9B4.10B$
42.4B4.2A5.10B4.2A68.7B5.7BA3B$43.9B4.11B75.8B2.BA5BABA2B$43.7B5.10B
75.13BA5BABA2B$44.4BD3B2.7BA3B74.21BA3B$42.7BD10BABA2B74.23B.B2A$41.
6B3D10BABA2B71.3B3.12BA6B2.BA.A$41.20BA3B70.3AB5.4BA2B.ABA4B7.A$38.2A
B3.19B.B2A68.3A.A3.4BABA2B.2A4B7.2A$37.B3A5.B2A3B.2BA6B2.BA.A67.BA.A.
A3.3BABA2B2.4B$37.B2A.A3.2B2A3B.3BA3B7.A69.A2.A3.4BAB5.4B$37.2B.A.A3.
4B4.3A3B7.2A69.2A5.5B5.5B$39.A2.A3.4B5.4B87.3B8.4B$40.2A6.2B.BA3.B88.
5B8.4B$47.B2ABA.A90.B2AB2A9.4B$46.BABABA.A87.2A2.2A.AB2.2A6.4B$44.A2.
A.A.A.2A86.A2.B3.A.A2.A7.4B$44.4A.2A2.A88.7A.2A10.4B$48.A4.A95.A13.4B
$44.2A2.A.3A91.4A.A14.4B$44.2A3.2A93.A2.2A16.4B$166.4B$167.4B$168.4B$
169.3B$170.2B$171.B!

[dvgrn]

Has really no one before discovered that you can flip the output of the hotcrystal reflector?

There _is_ prior art for that, but it probably hasn't been publicized enough on the forums. It came up in 2023 on Discord:

EvinZL — 6/19/23, 7:45 AM
I accidentally flipped the beehive and eater in the hotcrystal0 reflector:

Code: Select all

x = 25, y = 25, rule = B3/S23
15bo4bo2bo$13b3o4bo$12bo6bo4bo$12b2o4bobo2b2o$16b2obo$9b2o$9b2o$16bo2b
o$18b2o9$8bo$2o5bobo$b2o4bobo$o7bo$12b2o$12bobo$14bo$14b2o!

however, this has the same mod-8 timing as the snark, so it's probably not too useful. EDIT by dvgrn: it's actually +4 mod 8 relative to the Snark, so potentially very useful -- see below.

Anivec — 6/19/23, 9:08 AM
It’s still edgy enough to be useful

dvgrn — 6/19/23, 11:56 AM
It's only the same mod-4 timing as the Snark, anyway -- it works out to 4 mod 8.

Code: Select all

x = 39, y = 33, rule = DoubleB3S23
29.A4.A2.A$27.3A4.A$26.A6.A4.A$26.2A4.A.A2.2A$30.2A.A$23.2A$23.2A$30.
A2.A$32.2A$8.2B$8.B.B$10.B4.2B$6.4B.2B2.B2.B$6.B2.B.B.B.B.2B$9.B.B.B.
B$10.2B.B.B$14.B$22.A$2B19.A.A$.B7.2B10.A.A$.B.B5.2B11.A$2.2B22.2A$
26.A.A$28.A$28.2A4$12.2B$12.B$2.2C9.3B$3.2C10.B$2.C!

-- And yes, reflectors with no catalysts inside the turn are potentially very useful!

[Jormungant]

It's only the same mod-4 timing as the Snark, anyway -- it works out to 4 mod 8.

Eh, something is misleading to me, the mod-4 timing is indeed the same, but the mod-8 timing is different, snark is 4 and this is 0 (aka, -4 and -88)... so that's quite useful no? unless there is a delaying trick that am not considering, I mean, if you have a trombone like 2 snark 180 degree reflector, can shift it by 1, the delay is 8, am I missing something obvious?

Also, it is a transparent lane, so fun stuff happens (-203, -219, 5 mod 8 both, but CC):

Code: Select all

x = 110, y = 39, rule = LifeHistory
6$14.B8.8B40.B8.8B$13.4B5.9B39.4B5.9B$12.6B3.10B17.3B18.6B3.10B$11.8B
.11B2.B9.B2.BA3B17.8B.11B$11.20B2.2B7.3AB2A2B2A16.20B$11.20B2.3B6.4A
4B2A16.20B$9.15B2A3B4.4B6.3B2A2.B15.15B2A3B16.A$10.6BA6BA2BA2B4.5B5.
3B21.6BA6BA2BA2B15.A.A$10.B2A3BABA5B2A2B6.3B4.2B24.B2A3BABA5B2A2B15.
2BAB$10.B2A3B2A9B8.2B3.5B.B20.B2A3B2A9B17.2B$10.19B7.B4.B2A2B2A19.19B
8.B3.B.2B$8.2AB.10B5.2A8.B2.2B2A.B2A17.2AB.10B5.2A13.5B$7.A.AB.6B2.2B
5.A10.5B3.B17.A.AB.6B2.2B5.A14.3B2A$7.A5.5B10.3A4.B.6B21.A5.5B10.3A8.
B.3B.2A$6.2A7.2B13.A3.A5B.B21.2A7.2B13.A7.8B$13.B19.A.AB.B2AB28.B20.
2A2.2B2A2B$11.B3A19.AB2.B2A27.B3A18.BABAB.B2A$8.2A.B5A2.2A18.B25.2A.B
5A2.2A13.B3A.2B$8.A.2B.B.B.A2.A44.A.2B.B.B.A2.A13.2B2A2.2B$9.2AB3.AB.
2A46.2AB3.AB.2A13.2A2B2.B2AB$7.B3A5.A.A45.B3A5.A.A14.3AB3.2A$7.2A5.A.
A.A45.2A5.A.A.A13.4B$8.A4.A.A.A47.A4.A.A.A14.4B$5.3A5.A.A46.3A5.A.A
16.2B2AB$5.A8.2A46.A8.2A18.2A!

[dvgrn]

Eh, something is misleading to me, the mod-4 timing is indeed the same, but the mod-8 timing is different, snark is 4 and this is 0 (aka, -4 and -88)... so that's quite useful no?

Absolutely right. I've amended the Discord quote to make that clearer.

The original statement was that it had "the same mod-8 timing as the snark, so it's probably not too useful" ... which was why I posted that correction saying that it's 4 mod 8 (not 0 mod 8).

Having the option of getting +4 mod 8 by swapping in one of these reflectors for a Snark can potentially be very useful indeed. It would be nice if it was a stable reflector instead of a p4 one, of course, but we'll take what we can get!

[Period1GliderGun]

p4 HWSS-to-H converter, RT 88:

Code: Select all

x = 73, y = 34, rule = B3/S23
53b2ob2o$54bobo$49b2obo5bob2o$48bobob2o3b2obobo$47bo6bobo6bo$47b7o3b7o
2$49b3o7b3o$48bo2bo3bo3bo2bo$48b2o4bobo4b2o$54bobo$55bo3$55bo$54bobo$
54bobo$55bo2$2b2o42b2o$o4bo38bo4bo$6bo43bo$o5bo37bo5bo$b6o38b6o20b2o$
71b2o3$54b2o$49b2obo4bob2o$49bo10bo$50b2o6b2o8b2o$47b3o2b6o2b3o5bo$47b
o2bo8bo2bo6bo$48b2o10b2o6b2o!

EDIT: Here is a p8 90-degree HWSS reflector with the same RT:

Code: Select all

x = 90, y = 34, rule = B3/S23
53b2ob2o$54bobo$49b2obo5bob2o$48bobob2o3b2obobo$47bo6bobo6bo$47b7o3b7o
2$49b3o7b3o21bo2bo$48bo2bo3bo3bo2bo19bo$48b2o4bobo4b2o17b2o$54bobo20b
o6b2obo$55bo12bo11bo3bo2bo$68b3o9b3obo3bo$64bo6bo5bo11bo$55bo8b3o3b2o
6bo3bob3o$54bobo10bo11bo2bo3bo$54bobo9b2o5b2o4bob2o6bo$55bo17b2o10b2o
$84bo$2b2o42b2o32bo2bo$o4bo38bo4bo$6bo43bo33bo$o5bo37bo5bo32bobo$b6o38b
6o32b2o4$54b2o$49b2obo4bob2o$49bo10bo$50b2o6b2o$47b3o2b6o2b3o$47bo2bo
8bo2bo$48b2o10b2o!

[Period1GliderGun]

p15 HF-to-symmetric junk:

Code: Select all

x = 28, y = 19, rule = B3/S23
15b2o$16bo$16bobo$17b2o5$4bobo2bobo6b2o$2obo2bo2bo2bob2obo2bo3b3o$4bo
bo2bobo6b2o4bo2bo$25b2o4$17b2o$16bobo$16bo$15b2o!

[PK22]

Might be known, but p46 composite G-to-LWSS-to-B-to-H:

Code: Select all

x = 71, y = 59, rule = B3/S23
26b2o5b2o$26b2o5b2o6$o$b2o$2o8$25b2obo3bob2o$25bo2bo3bo2bo$26b3o3b3o8$
26b2o37bo3b2o$26b2o35b3o3b2o$46b2o15bo$23bo22b2o15bo$24b2o$23b2o4$43b
2o$43bo$44b3o$46bo7$26bo8b2o3b2o$22b2o2bo7bo2bobo2bo$14b2o5bo5bo5bo9bo
$14b2o4b2o2bobo5b2o9b2o$21b2o3bo6bo9bo$22b3o9bo2bobo2bo$35b2o3b2o$22b
3o$21b2o3bo$14b2o4b2o2bobo14b2o$14b2o5bo5bo13b2o$22b2o2bo$26bo!

I found the LWSS-to-B by trial and error.
Unfortunately, there are no known stable conduits that can accept a B-heptomino with a 46-tick repeat time, so RT 92 is the best possible.

[qqd]

Periodic R to glider, requiring a dot spark (based on the bumper):

Code: Select all

x = 29, y = 21, rule = B3/S23
24bo2bo$8bo15bo$8b3o12bo4bo$11bo10bobo2b2o$10b2o8b2obo2$15bo$14bobo3bo
2bo$14bo2bo4b2o$15b2o2$bo$b2o$2o4$12b2o$5bo6bo$4bobo6b3o$4b2o9bo!

I do remember a mention of this spark to glider bumper reaction before, but I forgot where.

[C28]

p4 Pi to MWSS

Code: Select all

x = 26, y = 21, rule = B3/S23
6b2o$6bo2b2o$3b2obo3bo$2bo2bob3o4b2o$o2bobobo6bo$2obobo9b3o$3bob2o10b
o$2obo$o2bob2o$2b2ob2o4$8b3o$8bobo$8bobo13bo$22b2obo$21bo$20bobo2bo$20b
o2bo$21b2o!

edit: kinda trash p2 pi to wing

Code: Select all

x = 27, y = 16, rule = B3/S23
6b2o$6bo2b2o$3b2obo3bo$2bo2bob3o4b2o$o2bobobo6bo11bo$2obobo9b3o7b2o$3b
ob2o10bo7b2o$2obo21bo$o2bob2o$2b2ob2o4$8b3o$8bobo$8bobo!

[MathAndCode]

pi to R with debatable usefulness

Code: Select all

x = 31, y = 16, rule = B3/S23
6b2o$6bo2b2o$3b2obo3bo$2bo2bob3o4b2o$o2bobobo6bo$2obobo9b3o11b2o$3bob
2o10bo11bo$2obo23bobo$o2bob2o20b2o$2b2ob2o4$8b3o$8bobo$8bobo!

The active region that creates the R-sequence almost becomes an MWSS earlier. A twin bees shuttle (or probably other sparkers) can salvage the MWSS.

Code: Select all

x = 49, y = 28, rule = B3/S23
6b2o$6bo2b2o$3b2obo3bo$2bo2bob3o4b2o$o2bobobo6bo$2obobo9b3o$3bob2o10b
o$2obo$o2bob2o$2b2ob2o4$8b3o$8bobo$8bobo2$35b2o7b4o$34bo2bo6bo3bo$33b
2o2bo10bo$34bo2bo4bob2obo$35bo6b3o2$35bo6b3o$34bo2bo4bob2obo$20b2o11b
2o2bo10bo$20b2o12bo2bo6bo3bo$35b2o7b4o!

Here is a demonstration of connectability.

Code: Select all

x = 65, y = 61, rule = B3/S23
10b2o$10bo2b2o$7b2obo3bo$6bo2bob3o4b2o$4bo2bobobo6bo$4b2obobo9b3o$7bo
b2o10bo$4b2obo$4bo2bob2o$6b2ob2o9$34b3o14b2o$34bo3bo12b2o$34bo4bo$35b
o3bo2$35bo3bo$34bo4bo$24b2o8bo3bo12b2o$24b2o8b3o14b2o4$21b2o$21bobo$23b
o$23b2o2$54b2o$54bo$55bo$54b2o$41bo$31b2o6b3o19b2o$2o4b2o23b2o5bo22bo
$2o3bo2bo29b2o22bo$6b2o53b2o2$47bo4bo8b2o$45b2o3b4o6bobo$47bo2bobo2bo
5bo$50bo2b2obo5b3o$49bo2b2ob3o6bo$b2o46b3o3bo2bo$b2o4bo30b2o12b2o4bo$
6b3o29bobo10b2o5bo$6bob2o30bo15b2o$33b2o5b2o$33b2o$53b2o$53b2o2b2o$57b
obo$59bo$59b2o!

Edit: A later spark in a more accessible place works, which makes other periods easier to find. The following examples also have demonstrations of connectability.
p4:

Code: Select all

x = 26, y = 21, rule = B3/S23
6b2o$6bo2b2o$3b2obo3bo$2bo2bob3o4b2o$o2bobobo6bo$2obobo9b3o$3bob2o10b
o$2obo$o2bob2o$2b2ob2o4$8b3o$8bobo$8bobo13bo$22b2obo$21bo$20bobo2bo$20b
o2bo$21b2o!

p5:

Code: Select all

x = 37, y = 28, rule = B3/S23
6b2o$6bo2b2o$3b2obo3bo$2bo2bob3o4b2o$o2bobobo6bo$2obobo9b3o$3bob2o10b
o$2obo$o2bob2o$2b2ob2o4$8b3o$8bobo$8bobo$22b4o$21bo4bo$21bo3bo6b2o$22b
o2b3o3bo2bo$26b2o4b3o$26b2o2b2o$27b3o3b4o$27bo3bobo2bo$28b2obo$29bob2o
$29bo2bo$30b2o!

p6:

Code: Select all

x = 30, y = 24, rule = B3/S23
6b2o$6bo2b2o$3b2obo3bo$2bo2bob3o4b2o$o2bobobo6bo$2obobo9b3o$3bob2o10b
o$2obo$o2bob2o$2b2ob2o4$8b3o$8bobo$8bobo11bo2bo$25bo$21bo4bo$21b2o2bo
bo$26bob2o3$26bo2bo$26b2o!

p22:

Code: Select all

x = 43, y = 26, rule = B3/S23
6b2o$6bo2b2o$3b2obo3bo$2bo2bob3o4b2o$o2bobobo6bo$2obobo9b3o$3bob2o10b
o$2obo$o2bob2o$2b2ob2o4$8b3o$8bobo$8bobo$26bobo3b3o6b2o$29bo2bobo6bo$
23b2o5b3o6bobo$23bo2bo6bo5b2o$23b2o7bobo$24bobo7b2o$18b2o5bo6bo2bo$17b
obo6b3o5b2o$17bo6bobo2bo$16b2o6b3o3bobo!

[Anivec]

Here's a periodic H-to-B that only works with one phase of the blinker (I hate blinkers).

Code: Select all

x = 34, y = 47, rule = B3/S23
21b2o$21bo2b2o$22b2ob3o$28bo$22b2ob3o$22b2obo3$17b3o$5b2o$6bo$6bobo$7b
2o5$32bo$31bobo$4b2o26bo$5bo$5bobo$6b2o2$27b2o$27b2o4$6bo$6bobo$6b3o$
8bo3$23b2o$23b2o$2o$2o7$17b2o$17b2o!

[ElijahKen]

This P3 from a recent oscillator of mine can sometimes replace chucklebait:

Code: Select all

x = 35, y = 22, rule = B3/S23
4b3o23b3o$3bo3bo21bo3bo$2bo5bo19bo5bo$2bo5bo19bo5bo$2bo5bo10b2o7bo5bo
$3bo3bo11b2o8bo3bo$4b3o23b3o2$2b2o25bo$3bo24bobo$bobob3o16b2obobo$obo
bob3o14bobobobobo$obo2b2ob3o12bo4bob2o$b2o8bo12b3obo$11bo14bobo$8b4ob
o13bo$12b2o$7bo4b3o$3b2o3b2o5bo$3bo2bobo5b2o$5b2o2bo$8b2o!

It uses a known eater + dot spark reaction, but I don’t think a P3 oscillator that supports the reaction has been found until then.

This implies a periodic snark64 variant that releases the glider in a different direction:

Code: Select all

x = 21, y = 33, rule = B3/S23
15b2o$15bo3b2o$2o9b2o4bo2bo$o5b2o3b2o3b4o$b3obobo$3bobo10b2o$4b2o10bob
o$17b2o6$5bo3b2o$4b2o2bo2bo$3b2o4b2o$3bo3$12b2o$9bo2bo$7bo2bobobo$11bo
bobo$5b3ob2o2bobo$4bobo6b2o$4bobo$2bob3o$5b3o$bobo3bo$o5b2o3b2o$2o5bob
o2bo$6bo2b2o$6b2o!

Unfortunately, it isn't compatible with the glider activated version at p3. Perhaps at p4?