Stable signal converters

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
Hunting
Posts: 4382
Joined: September 11th, 2017, 2:54 am

Re: Stable signal converters

Post by Hunting » December 9th, 2020, 12:41 am

MathAndCode wrote:
December 8th, 2020, 3:56 pm
Here are a couple of ways to turn a loafer into a pi-sequence.

Code: Select all

x = 15, y = 14, rule = B3/S23
7b2o2bob2o$2o4bo2bo2b2o$2o5bobo$8bo$14bo$12b3o$11bo$12bo$13b2o2$9b2o$
10bo$7b3o$7bo!
That's super known:
Scorbie wrote:
August 6th, 2015, 11:36 am
There's a small L-to-Pi but I'm not too sure if this is useful:

Code: Select all

x = 25, y = 18, rule = LifeHistory
9.3D$9.DBD$3.2B3.BDBD$.24B$.5B2C2BCB2C11B$2A3BC2BC2B2C12B$2AB.2BCBC
16B$.B2.3BC17B$5.8BC11B$5.4B.B3C11B$6.4BC14B$7.B2.BC13B$11.B2C11B$9.
5B$9.2A$10.A$7.3A$7.A!
Just showing that a near-spartan working conduit is possible: (L-to-R with repeat time 420...)

Code: Select all

x = 89, y = 30, rule = LifeHistory
21.2A13.4B$20.B2AB11.4B$20.3B11.4B$.2A17.2B11.4B$.A5.2A6.B3.70B$2.3A.
A.A5.2AB.B2C2BCB2C52B2A2BAB2A2B$4.A.A7.2A2BC2BC2B2C52BA2BA2B2A3B$4.B
2AB7.4BCBC57BABA7B$5.4B6.5BC59BA8B$6.5B3.12BC59BA2B$4.7B3.10B3C57B3A
2B$3.20BC59BA5B$3.21BC59BA4B$3.22B2C58B2A2B$4.31B$5.3BD26B4.B$7.2D28B
.B2A$7.B2D15B3D11B2A$8.3B2.12BD12B.B$2.2A9.12B3D9B$.A.A9.22B$.A11.20B
$2A12.17B$16.B3.10B$21.8B$22.7B$27.2A$27.A$28.3A$30.A!
Farewell.
AlephAlpha, privately wrote:What is textcensus? What is attribute?
goldenratio wrote:Ultiminum

Code: Select all

x = 4, y = 5, rule = B2n3/S23-q
2bo$2bo$bobo2$3o!
LeapLife/url] - [url=https://conwaylife.com/forums/viewtopic.php?f=11&t=4367]DirtyLife - LispLife

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EvinZL
Posts: 444
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Re: Stable signal converters

Post by EvinZL » December 9th, 2020, 2:30 pm

Code: Select all

x = 61, y = 112, rule = LifeHistory
4$36.4B$37.4B$38.4B$39.4B$40.4B.3B$30.A10.8B$30.3A7.B.7B$33.A5.10B$
32.2A5.12B$32.5B.14B$34.18B$31.22B$30.23B$29.22B.B2A$28.23B.BA.A$29.
22B4.A$30.20B5.2A$30.19B$30.20B$28.2AB2.15B.B2A$27.A.AB5.10B3.BA.A$
27.A8.10B6.A$26.2A6.13B5.2A$33.15B$33.16B$33.17B$33.16B$35.13B$34.4B.
2B2A5B$33.4B2.2B2A3B$32.4B2.8B$31.4B4.8B$30.4B5.8B$29.4B7.7B$28.4B8.
7B$27.4B9.6B$12.A13.4B10.6B$12.3A10.4B11.5B$15.A8.4B11.6B$14.2A7.4B
13.6B$14.5B3.4B13.7B$16.3B2.4B14.6B$6.2A7.9B15.6B$6.A8.8B11.2B2.7B$3.
2A.A.B3.10B10.13B$3.A2.3AB.2B2A7B9.16B$4.2A2.BA3B2A7B9.16B$6.4A12B9.
17B$6.A.2B3.7B.B2A7.17B$7.3AB2.7B.BA.A5.19B$10.A4.4B5.A6.19B$5.5A5.4B
5.2A5.19B$5.A10.4B11.20B$7.A9.4B10.20B$6.2A10.4B9.20B$19.4B8.7BA13B$
20.4B7.6BABA12B$21.4B9.2BA2BA13B$22.4B8.3B2A14B$23.4B11.17B$24.4B13.
15B$25.4B12.15B$26.4B10.17B.2B$27.4B8.20B2A$28.4B7.20B2A$29.4B5.15B.B
2A.2B$30.4B3.15B2.B2A$3.2A26.4B.5B2A10B$3.A.A16.2A8.9B2A10B$5.A15.B2A
B8.20B$5.2A2.4B8.3B10.20B$6.B.5B9.B.B9.20B$6.8B6.5B8.18B.B$5.2BA2B2A
4B3.6B5.B.20B$4.B3ABABABA3B2.7B3.2AB.18B$4.BA2B3A2B2A11B3.2A22B$2.B.A
2B6ABAB3A8B3.2B.17B.2A$.2AB.A2B3ABAB5A8B6.15B3.A$.2AB.5BABABABA11B5.
4B.9B5.3A$3.BABA3BABAB5A8B5.4B3.8B7.A$4.A2BABA2BAB2A3BA7B4.4B5.5B$4.
3BA2B2A7B3A5B3.4B5.6B$4.BA3B5AB3A2B2A6B.4B5.7B$4.4BA9BA13B5.4B.2B$2.
2AB.ABA9BA12B5.4B2.4B$.A.AB.2B2AB5A3BA10B.2B2.4B5.2A$.A5.3BAB3A2BA5B
2A4B.8B6.A$2A6.2BA2BA3BAB3AB2A12B8.3A$9.3B2A3B3ABA2BA3BA7B11.A$10.2B
2A4B2AB4A3B3A5B$10.13BABA2BA7B$11.6BABA5B2A2B2A6B$11.6BA2BA5BAB3A5BAB
$9.8BA3BA4B2A2BA3BA2BAB$9.10B3A5B2A8BA2B$8.BA9BABA2BA2BA5B2A2BA3B$8.A
BA10BA2B2AB2ABA2BA8B$8.ABA9BA7BABA12B$9.A8B.2BA3B4A15B$9.10B.2BA3BA
18B$10.36B$11.8B.7BA19B$11.7B2.6BABA19B$12.5B4.4B2A22B$14.2B6.3BABA
22B$23.2B2A24B$24.3BA24B$25.BA26B!

Code: Select all

x = 59, y = 12, rule = B2i3-kq4j/S2-i3
.2A7.2A35.2A7.2A$3A7.3A15.3A15.3A7.3A$.2A7.2A15.A3.A15.2A7.2A$26.A5.A
$26.A5.A$26.3A.3A2$26.3A.3A$26.A5.A$26.A5.A$27.A3.A$28.3A!

MathAndCode
Posts: 4489
Joined: August 31st, 2020, 5:58 pm

Re: Stable signal converters

Post by MathAndCode » January 1st, 2021, 1:47 am

I found a loafer-to-wing converter then realized that it's just barely invalid.

Code: Select all

x = 25, y = 17, rule = LifeHistory
7.2A$7.2A4$2A4.2A2.A.2A$2A3.A2.A2.2A$6.A.A$7.A$13.A$11.3A$10.A$11.A$9.
2D.2A$10.D.D$11.2D8.A.2A$21.2A.A!
Can the snake be replaced with a catalyst with better clearance?
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

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GUYTU6J
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Re: Stable signal converters

Post by GUYTU6J » January 12th, 2021, 1:11 am

MathAndCode wrote:
January 11th, 2021, 9:25 pm
Try synchronizing the glider and Herschel.

Code: Select all

x = 28, y = 40, rule = B3/S23
bo$2bo$3o14$27bo$25b3o$24bo$24b2o7$2b2o$bobo$bo$2o6$15b3o$6b2o8bo$7bo
6b3o$4b3o$4bo!
Referring to the glider pair adjustment toolkit and an example walkthrough, I learnt that the two signals come from an Oo2 glider pair and constructed this with recovery time 78:

Code: Select all

x = 162, y = 152, rule = LifeHistory
72.5B$72.5B$72.5B$72.5B$72.5B$72.5B$72.5B$72.5B$72.5B$35.2A3.2A30.5B$
35.2A2.A.3A28.5B$39.A4.A27.5B$35.4A.2A2.A27.5B$35.A2.A.A.A.2A26.5B61.
2A$37.BABABA.A27.5B60.A.A$38.B2ABA.A27.5B54.2A4.A$39.2B.BA28.5B52.A2.
A2.2A.4A$38.3B31.5B52.2A.A.A.A.A2.A$29.2A6.4B31.5B55.A.ABABAB$30.A6.B
2A3B17.2A6.9B55.A.AB2AB$30.A.AB3.B2A3B18.A5.10B56.AB.2B$31.2AB.10B16.
A.AB.11B13.A45.3B$33.13B16.2AB.11B11.3A45.4B6.2A$33.14B17.13B10.A46.
3B2AB6.A$33.15B10.A5.8B.2B12.2A45.3B2AB3.BA.A$35.8B2.4B7.3A5.8B13.4B
43.10B.B2A$35.6B5.4B5.A7.9B12.3B20.A23.13B$34.9B4.4B4.2A5.11B10.4B.3B
.B12.3A22.14B$33.4B4.2A5.9B4.4B.7B3.18B10.A24.15B$32.4B5.A7.6B5.4B2.
7B2.16B2A2B5.B3.2A11.A10.4B2.8B$31.4B7.3A4.8B2.4B3.7B2.16B2A2B3.8B11.
3A7.4B5.6B$30.4B10.A2.15B3.9B.20B.8B16.A5.4B4.9B$29.4B14.14B5.38B15.
2A4.4B5.2A4.4B$28.4B15.13B5.20B2.2B.15B14.9B7.A5.4B$27.4B14.2AB.10B6.
17B8.17B14.6B5.3A7.4B$17.A8.4B14.A.AB3.B2A3B8.15B11.19B2.2B2.B3.6B5.A
11.4B10.2A$15.5A5.4B5.2A8.A6.B2A3B7.15B12.35B4.A.B2A9.4B9.A$14.A5.A4.
4B5.A8.2A6.4B7.18B12.7B.27B3.B2A2.A9.4B10.A$14.A2.3AB2.7B.BA.A17.3B6.
19B11.25B2A14B2.2A3.2A5.4B5.5A$13.2A.A.2B3.7B.B2A19.2B.BA4.10B3.3B.B
2A8.26B2A13B9.A5.5B3.A$13.A2.4A12B20.B2ABA.A4.9B7.BA.A8.8B2.29B10.A.A
B.7B2.B3A$14.2A2.BA3B2A7B19.BABABA.A4.7B12.A8.6B11.2B.B.17B11.2AB.8B
2.2B.A$16.3AB.2B2A7B17.A2.A.A.A.2A4.8B10.2A8.5B10.3B4.15B14.12B4A$16.
A.B3.10B17.4A.2A2.A5.2B4.2A20.4B7.2A.2BA5.15B14.7B2A3BAB2.2A$13.2A.A
8.8B20.A4.A11.A21.4B7.A.2BA.A5.13B15.7B2A2B.B3A2.A$13.2A.2A7.9B15.2A
2.A.3A13.3A16.2AB.B9.A2.BA.A2.13B17.10B3.B.A.2A$26.3B2.4B14.2A3.2A17.
A15.A.AB12.A3.A.A.2A4.8B15.8B8.A$24.5B3.4B53.A13.A.4A2.AB2A6.6B14.9B
7.2A$24.2A7.4B51.2A12.A.A3.A.A2.B8.5B13.4B2.3B$25.A8.4B8.A55.A.A2.A2.
2A.2A9.B.B12.4B3.5B$22.3A3.2A5.4B5.5A54.A3.2A2.A.A9.3B12.4B7.2A$22.A
6.A5.4B4.A5.A61.A.A9.B2AB10.4B8.A$29.A.AB.7B2.B3A2.A62.A11.2A10.4B10.
3A$30.2AB.7B3.2B.A.2A84.4B13.A$32.12B4A2.A83.4B$32.7B2A3BAB2.2A83.4B$
32.7B2A2B.B3A84.4B$32.10B3.B.A83.4B$31.8B8.A.2A79.4B$30.9B7.2A.2A78.
4B$29.4B2.3B90.4B$28.4B3.5B87.4B$27.4B7.2A9.2A3.2A70.4B$26.4B8.A8.3A.
A2.2A69.4B$25.4B10.3A4.A4.A72.4B$24.4B13.A4.A2.2A.4A67.4B$23.4B18.2A.
A.A.A2.A66.4B$22.4B20.A.ABABAB67.4B$21.4B21.A.AB2AB67.4B$20.4B23.AB.
2B67.4B$19.4B27.3B65.4B$18.4B28.4B6.2A55.4B$17.4B27.3B2AB6.A55.4B$16.
4B28.3B2AB3.BA.A54.4B$3.2A10.4B27.10B.B2A54.4B$4.A9.4B27.13B55.4B$2.A
10.4B27.14B54.4B$2.5A5.4B5.2A20.15B53.4B$7.A4.4B5.A20.4B2.8B54.4B$4.
3AB2.7B.BA.A19.4B5.6B53.4B$3.A.2B3.7B.B2A19.4B4.9B51.4B$3.4A12B20.4B
5.2A4.4B49.4B$.2A2.BA3B2A7B19.4B7.A5.4B47.4B$A2.3AB.2B2A7B18.4B5.3A7.
4B45.4B$2A.A.B3.10B6.A10.4B6.A10.4B43.4B$3.A8.8B5.3A7.4B19.4B41.4B$3.
2A7.9B7.A5.4B21.4B39.4B$13.3B2.4B5.2A4.4B23.4B37.4B$11.5B3.4B4.9B25.
4B8.A26.4B$11.2A7.4B5.6B20.2A5.4B5.5A23.4B$12.A8.4B2.8B21.A5.4B4.A5.A
21.4B$9.3A10.15B19.A.AB.7B2.B3A2.A20.4B$9.A13.14B20.2AB.7B3.2B.A.2A
18.4B$24.13B22.12B4A2.A17.4B$25.10B.B2A20.7B2A3BAB2.2A17.4B$27.3B2AB
3.BA.A19.7B2A2B.B3A18.4B$27.3B2AB6.A19.10B3.B.A17.4B$29.4B6.2A17.8B8.
A.2A13.4B$29.3B25.9B7.2A.2A12.4B$26.AB.2B25.4B2.3B24.4B$25.A.AB2AB23.
4B3.5B21.4B$25.A.ABABAB21.4B7.2A20.4B$24.2A.A.A.A2.A18.4B8.A20.4B$25.
A2.2A.4A17.4B10.3A16.4B$25.A4.A20.4B13.A15.4B$26.3A.A2.2A15.4B29.4B$
28.2A3.2A14.4B29.4B$48.4B29.4B$47.4B29.4B$37.A8.4B29.4B$35.5A5.4B5.2A
22.4B$34.A5.A4.4B5.A22.4B$34.A2.3AB2.7B.BA.A21.4B$33.2A.A.2B3.7B.B2A
21.4B$33.A2.4A12B22.4B$.AB31.2A2.BA3B2A7B21.4B$.B2A32.3AB.2B2A7B12.2A
6.4B$.2A2B31.A.B3.10B13.A5.4B$2.4B27.2A.A8.8B12.A.AB.6B$3.4B26.2A.2A
7.9B12.2AB.7B$4.4B38.3B2.4B13.10B$5.4B35.5B3.4B12.9B$6.4B34.2A7.4B11.
9B.2B$7.4B34.A8.4B12.9B2A$8.4B30.3A10.4B11.9B2A$9.4B23.A5.A13.4B11.7B
.B$10.4B22.3A12.B.3B.4B9.8B$11.4B24.A10.18B2.8B$12.4B10.A11.2A3.B5.2B
2A16B.8B$13.4B7.3A11.8B3.2B2A16B2.7B$14.4B5.A16.8B.20B.8B$15.4B4.2A
15.38B$8.2A6.9B14.15B.2B2.20B$9.A7.6B14.17B8.17B$9.A.2A5.6B3.B2.2B2.
19B11.15B$10.A2.A4.2BABA30B12.15B$11.2AB3.4B2A21B.7B12.16B$12.9BA4B2A
25B11.7B.7B$13.13B2A26B8.2AB.3B4.4B.2B$14.29B2.8B8.A.AB9.7B$14.17B.B.
2B11.6B8.A15.2A.A$15.15B4.3B10.5B8.2A16.A.3A$15.15B5.A2B.2A7.4B24.A.A
4.A$16.13B5.A.A2B.A7.4B24.2A2.2A.A$18.13B2.A.AB2.A9.B.B2A27.A.A.2A$
17.8B4.2A.A.A3.A12.BA.A26.A.A.2A$17.6B6.2ABA2.4A.A13.A27.A$17.5B8.B2.
A.A3.A.A12.2A$17.B.B9.2A.2A2.A2.A.A$18.3B9.A.A2.2A3.A$17.B2AB9.A.A$
18.2A11.A!
There are too many Snarks and two trombone slides, though, rendering it useless. But giving a bad demonstration encourages others to optimize effectively, as is the case of my awkward HWSS-to-H.
Lifequote:
In the drama The Peony Pavilion, Tang Xianzu wrote: 原来姹紫嫣红开遍,似这般都付与断井颓垣。
(Here multiflorate splendour blooms forlorn
Midst broken fountains, mouldering walls.)
I'm afraid there's arrival but no departure.
Stop Japan from dumping nuclear waste!

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dvgrn
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Re: Stable signal converters

Post by dvgrn » January 12th, 2021, 8:28 am

GUYTU6J wrote:
January 12th, 2021, 1:11 am
Referring to the glider pair adjustment toolkit and an example walkthrough, I learnt that the two signals come from an Oo2 glider pair and constructed this with recovery time 78...
Nice work! It's good to see more people figuring out how to use that toolkit.
GUYTU6J wrote:
January 12th, 2021, 1:11 am
There are too many Snarks and two trombone slides, though, rendering it useless. But giving a bad demonstration encourages others to optimize effectively, as is the case of my awkward HWSS-to-H.
Heh, yes, let's take another quick run at this one.

Two trombone slides don't do anything that one trombone slide can't do, so we can just delete most of that snarl of Snarks.

In the circuit that feeds the Herschel into the LWSS-making reaction, you chose an Fx77 conduit to make enough space to prepend a syringe. But that puts the input way off in the NE, and coming from the wrong direction. It makes sense to go to the H-to-H collection and pick a different conduit that bends in the right direction, like for example an L112.

But adding an L112 instead of an Fx77 will change the timing of the input glider, so you have to set up the two new input glider signals

Code: Select all

x = 143, y = 87, rule = B3/S23
75b2o$76bo$76bobo26bo$77b2o24b3o11bo$102bo14b3o$102b2o16bo14bo$119b2o
12b3o$132bo$132b2o3$131b2o$112b2o17b2o$112b2o6$115b2o$95b2o19bo21b2o$
95bobo15b3o17b2o2bo2bo$97bo15bo19bobo2b2o$97b2o19b2o16b2o$85b2o32bo17b
o$85bo30b3o15bo2bob2o$86b3o27bo16bobob2obo$88bo45bobo$135bo2b2o$136b2o
b3o$142bo$136b2ob3o$136b2obo2$128b2o$119b2o7b2o$120bo$120bobo$121b2o4$
141b2o$141b2o5$117b3o6bo$119bo5bobo$118bo6bobo$126bo$123b3o$123bo31$bo
$b2o$obo!
and run them through the identifier script. Turns out it's now an Oe1/Oo3 pair.

Code: Select all

x = 120, y = 99, rule = LifeHistory
17.2A3.2A$17.2A2.A.3A$21.A4.A$17.4A.2A2.A$17.A2.A.A.A.2A$20.A.A.A.A$
21.2A.A.A$25.A2$11.2A$12.A7.2A$12.A.A5.2A$13.2A7$23.2A$23.A28.2A$4.A
19.3A26.A$2.5A14.3A2.A26.A.A26.A$.A5.A13.A2.A29.2A24.3A11.A$.A2.3A12.
A.A2.2A53.A14.3A$2A.A15.2A29.A28.2A16.A14.A$A2.4A41.3A45.2A12.3A$.2A
3.A3.2A35.A61.A$3.3A4.2A35.2A60.2A$3.A$2A.A$2A.2A103.2A$89.2A17.2A$
89.2A$11.2A$12.A24.2A$9.3A24.A.A5.2A$9.A26.A7.2A$35.2A$92.2A$49.A22.
2A19.A21.2A$45.2A.A.A21.A.A15.3A17.2A2.A2.A$44.A.A.A.A23.A15.A19.A.A
2.2A$41.A2.A.A.A.2A22.2A19.2A16.2A$41.4A.2A2.A11.2A32.A17.A$45.A4.A
11.A30.3A15.A2.A.2A$41.2A2.A.3A13.3A27.A16.A.A.2A.A$41.2A3.2A17.A45.A
.A$112.A2.2A$113.2A.3A$119.A$113.2A.3A$113.2A.A2$105.2A$96.2A7.2A$97.
A$97.A.A$98.2A4$3.A114.2A$4.2A112.2A$3.2A4$103.A$69.A11.A20.A.A$69.3A
7.3A20.A.A$72.A5.A24.A$38.A32.2A5.2A20.3A$38.3A59.A$41.A$28.A11.2A11.
2A$26.3A24.2A$25.A$25.2A$10.2A$11.A$11.A.2A$12.A2.A6.A.A$13.2A8.2A$
23.A4.2A$28.2A34.2A$63.A.A$63.A$62.2A$37.A3.2A36.2A$36.A.A3.A36.A$35.
A.A3.A12.2A24.3A$31.2A.A.A3.A13.A.A25.A$31.2A.A2.4A.A13.A$35.A.A3.A.A
12.2A$31.2A.2A2.A2.A.A$32.A.A2.2A3.A$20.2A10.A.A$20.2A11.A!

MathAndCode
Posts: 4489
Joined: August 31st, 2020, 5:58 pm

Re: Stable signal converters

Post by MathAndCode » January 12th, 2021, 9:50 am

There are other ways to hit the R-sequence with a glider to produce a LWSS that could potentially yield a smaller conduit. Here's one example that I haven't cleaned up completely:

Code: Select all

x = 45, y = 40, rule = B3/S23
42bo$42bobo$42b2o24$2b2o$bobo$bo$2o6$15b3o$6b2o8bo$7bo6b3o$4b3o$4bo!
I have historically worked on conduits, but recently, I've been working on glider syntheses and investigating SnakeLife.

User avatar
calcyman
Posts: 2412
Joined: June 1st, 2009, 4:32 pm

Re: Stable signal converters

Post by calcyman » April 3rd, 2021, 11:38 am

This (or a variation thereof) might potentially allow a faster-recovery post-elbow-2c/3-to-G:

Code: Select all

x = 151, y = 148, rule = LifeHistory
49.3B$49.5B$48.6B$48.8B$48.8B10.A$15.A26.B4.9B8.3A$15.3A5.2A16.3B3.
11B5.A$18.A3.B2AB13.6B2.13B3.2A$17.2A4.3B7.4B2.7B.13B4.B$17.5B2.B2.2B
2.28B5.3B$19.15BD25B3.6B$18.2A14BDBD23B2.10B$18.2A3B2A9B3DB2A21B.11B
3.2B2.2B$19.B.2B2A11BDB2A22BD3B2A15BD$21.41B2D2B2A15BD.D$10.3B10.7B5.
28B2D18B3DB$10.4B9.6B8.B2.23BD21BD$11.4B7.8B9.23BD21B$12.4B7.6B9.24B
2.13B.B$13.4B6.6B9.24B2.7B.B$14.4B6.6B6.2AB2.20B$15.4B5.7B4.A.AB2.18B
$16.4B4.6B5.A6.18B.B$17.13B4.2A7.18B2A$17.13B13.18B2A$17.13B13.3B3.
13B$6.2A6.B2.13B14.B2.3B.11B$7.A5.18B16.2A2.9B$5.A7.B2C17B15.A3.7B$5.
5A2.BC2BC16B12.3A5.4B$3.2A4.AB.BC2BC2B2C13B11.A8.5B$2.A2.ABA6B2C3B2C
13B23.2A$2.2A.A.2A2B2.3B.17B23.A$5.A.3B6.19B23.3A$5.4AB6.21B23.A$3.2A
2.BAB6.21B$2.A2.3A3BA6.20B$3.A.A.2B2.3A3.20B$2.2A.A2B6.A2.19B$A2.A.2A
6.2A3.18B$2A2.B.3B9.17B$5.3B2A9.16B$6.BA.A10.14B$6.BA.A.2A7.13B$5.A.A
.A.A.A5.11B$4.A.A2BA.A.A6.9B$4.A4.A.A.A.2A5.7B$5.4A2BA.A.A8.4B$11.A.A
.A7.4B$7.4A2BA.A.2A5.2B3.B$7.A5.A.A.A6.3B.B2A$10.3A2BA.A7.A3B2A$10.A
4.A.A.2A3.A.AB.B$11.4A2BA.A.A.A.AB$17.A.A.A.A$13.4A2BA.A.A$13.A5.A.A.
A.2A$16.3A2BA.A.A$16.A4.A.A.A$17.4A2BA.A.2A$23.A.A.A$19.4A2BA.A$19.A
5.A.A.2A$22.3A2BA.A.A$22.A4.A.A.A$23.4A2BA.A.2A$29.A.A.A$25.4A2BA.A$
25.A5.A.A.2A$28.3A2BA.A.A$28.A4.A.A.A$29.4A2BA.A.2A$35.A.A.A$31.4A2BA
.A$31.A5.A.A.2A$34.3A2BA.A.A$34.A4.A.A.A$35.4A2BA.A.2A$41.A.A.A$37.4A
2BA.A$37.A5.A.A.2A$40.3A2BA.A.A$40.A4.A.A.A$41.4A2BA.A.2A$47.A.A.A$
43.4A2BA.A$43.A5.A.A.2A$46.3A2BA.A.A$46.A4.A.A.A$47.4A2BA.A.2A$53.A.A
.A$49.4A2BA.A$49.A5.A.A.2A$52.3A2BA.A.A80.2A$52.A4.A.A.A80.A$53.4A2BA
.A.2A78.3A$59.A.A.A76.A5.A.2A$55.4A2BA.A76.5A.A.2A$55.A5.A.A.2A79.A$
58.3A2BA.A.A70.4A2BA.A.2A$58.A4.A.A.A69.A4.A.A.A.A$59.4A2BA.A.2A66.3A
2BA.A.A.A.A$65.A.A.A64.A5.A.A.2A3.2A$61.4A2BA.A64.4A2BA.A$61.A5.A.A.
2A65.A.A.A$64.3A2BA.A.A58.4A2BA.A.2A$64.A4.A.A.A57.A4.A.A.A$65.4A2BA.
A.2A54.3A2BA.A.A$71.A.A.A52.A5.A.A.2A$67.4A2BA.A52.4A2BA.A$67.A5.A.A.
2A53.A.A.A$70.3A2BA.A.A46.4A2BA.A.2A$70.A4.A.A.A45.A4.A.A.A$71.4A2BA.
A.2A42.3A2BA.A.A$77.A.A.A40.A5.A.A.2A$73.4A2BA.A40.4A2BA.A$73.A5.A.A.
2A41.A.A.A$76.3A2BA.A.A34.4A2BA.A.2A$76.A4.A.A.A33.A4.A.A.A$77.4A2BA.
A.2A30.3A2BA.A.A$83.A.A.A28.A5.A.A.2A$79.4A2BA.A28.4A2BA.A$79.A5.A.A.
2A29.A.A.A$82.3A2BA.A.A22.4A2BA.A.2A$82.A4.A.A.A21.A4.A.A.A$83.4A2BA.
A.2A18.3A2BA.A.A$89.A.A.A16.A5.A.A.2A$85.4A2BA.A16.4A2BA.A$85.A5.A.A.
2A17.A.A.A$88.3A2BA.A.A10.4A2BA.A.2A$88.A4.A.A.A6.2A.A4.A.A.A$89.4A2B
A.A.2A4.A.3A2BA.A.A$95.A.A.A.A3.A4.A.A.2A$91.4A2BA.A.A4.2A2BA.A$91.A
5.A.A.A.3A2.A.A.A$94.3A2BA.A.A2.ABA.A2.2A$94.A4.A.A.A.A2.A.2A.A.A$95.
4A2BA.A.AB2A.A2.A.A$101.A.A.A3.A2BA.A$97.4A2BAB4A2B2.A$97.A5.A2B2.B4A
$100.4AB3A$100.A2.BAB2.5A$101.2A3.A.A3.A$99.A.A.4A2.A$99.2A2.A3.2A$
103.A.2A$104.A.A!
What do you do with ill crystallographers? Take them to the mono-clinic!

User avatar
dvgrn
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Posts: 7859
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI
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Re: Stable signal converters

Post by dvgrn » April 3rd, 2021, 1:39 pm

calcyman wrote:
April 3rd, 2021, 11:38 am
This (or a variation thereof) might potentially allow a faster-recovery post-elbow-2c/3-to-G...
It certainly seems like there are a lot of variants to explore here. You can get a slightly dirty B-heptomino out at the cost of four gliders, or two gliders plus a Herschel-to-beehive, so it's a 3-signal synchronization problem:

Code: Select all

x = 33, y = 36, rule = LifeHistory
6.2A$7.A9.A.A$5.A11.2A$5.5A8.A9.A$3.2A4.A17.A$2.A2.A.A19.3A$2.2A.A.2A
$5.A$5.4A$3.2A3.A10.3A8.3A$2.A2.3A3.A7.A10.A$3.A.A5.3A6.A10.A$2.2A.A
8.A$A2.A.2A6.2A$2A$8.2A$7.A.A$7.A.A.2A$5.A.A.A.A.A$4.A.A2.A.A.A$4.A4.
A.A.A.2A$5.4A2.A.A.A$11.A.A.A$7.4A2.A.A.2A$7.A5.A.A.A$10.6A.A$10.A4.A
.A.2A$11.7A.A$17.A.A$13.4A2.A.2A$13.A5.A.2A$14.5A2$16.3A$16.A2.A$18.
2A!
Or a clean glider output is possible, but it's going to slow things down a lot to turn that into four input gliders synchronized in pairs so it's possible the messy B-heptomino output would allow a faster recovery:

Code: Select all

x = 29, y = 38, rule = LifeHistory
26.A$25.A$6.2A17.3A$7.A9.A.A$5.A11.2A$5.5A8.A$3.2A4.A$2.A2.A.A$2.2A.A
.2A$5.A21.A$5.4A17.2A$3.2A3.A10.3A4.A.A$2.A2.3A3.A7.A$3.A.A5.3A6.A$2.
2A.A8.A$A2.A.2A6.2A$2A$8.2A$7.A.A$7.A.A.2A8.2A$5.A.A.A.A.A7.2A$4.A.A
2.A.A.A$4.A4.A.A.A.2A$5.4A2.A.A.A$11.A.A.A$7.4A2.A.A.2A$7.A5.A.A.A$
10.6A.A$10.A4.A.A.2A$11.7A.A$17.A.A$13.4A2.A.2A$13.A5.A.2A$14.5A2$16.
3A$16.A2.A$18.2A!
Unless I've missed some new technology, the most recent 1061-tick recovery mechanism for 2c/3-to-X was also a 3-signal synch. It definitely seems like there ought to be some room for improvement with that device! We have several edgy H-to-beehives, so mostly what would be useful would be an equally edgy H-to-pond, that's compatible with one of the H-to-beehives. Then maybe this could be boiled down to a two-signal reconstruction problem, where the only synchronization needed was getting the two objects rebuilt in the correct order.

This seems like about as fast as we could expect to get a usable Herschel signal out, without any pieces that would get in the way of a glider-based rebuild at least:

Code: Select all

x = 50, y = 86, rule = LifeHistory
4.2A.A$4.A.2A2$5.5A$2A2.A4.A$A2.A2.A$.A.A.2A$2A.A5.A$3.A4.A.A$3.2A2.A
2.A$8.2A9$16.2A$16.2A8$6.2A22.2A$7.A21.A2.A$4.3A23.2A$4.A6$13.2A$14.A
$11.3A$11.A10$25.2A$26.A$24.A8.2C14.D$24.5A3.C2.C3.2C6.3D$22.2A4.A3.C
2.C2.C2.C5.D.D$21.A2.A.A6.2C4.2C6.D$21.2A.A.2A$24.A$24.4A$22.2A3.A$
21.A2.3A3.A$22.A.A5.3A$21.2A.A8.A$19.A2.A.2A6.2A$19.2A$27.2A$26.A.A$
26.A.A.2A$24.A.A.A.A.A$23.A.A2.A.A.A$23.A4.A.A.A.2A$24.4A2.A.A.A$30.A
.A.A$26.4A2.A.A.2A$26.A5.A.A.A$29.6A.A$29.A4.A.A.2A$30.7A.A$36.A.A$
32.4A2.A.2A$32.A5.A.2A$33.5A2$35.3A$35.A2.A$37.2A!
... Well, I suppose once you stick an F116 on that Herschel to get it a safe distance away, the beehive is in the wrong orientation for an easy 2-glider rebuild, and that ends up being more like four synchronized gliders anyway. Other options that I can find immediately seem similarly not-quite-good, but there's a lot of space left to hunt through:

Code: Select all

6.2A$7.A$5.A8.2A$5.5A3.A2.A$3.2A4.A3.A2.A$2.A2.A.A6.2A3.2A$
2.2A.A.2A9.A2.A$5.A13.A.A$5.4A11.A$3.2A3.A$2.A2.3A3.A$3.A.A
5.3A$2.2A.A8.A$A2.A.2A6.2A$2A$8.2A$7.A.A$7.A.A.2A$5.A.A.A.A.
A$4.A.A2.A.A.A$4.A4.A.A.A.2A$5.4A2.A.A.A$11.A.A.A$7.4A2.A.A.
2A$7.A5.A.A.A$10.6A.A$10.A4.A.A.2A$11.7A.A$17.A.A$13.4A2.A.
2A$13.A5.A.2A$14.5A2$16.3A$16.A2.A$18.2A!

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