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The Hunting of the Elementary Conduits

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

Re: The Hunting of the Elementary Conduits

Postby BlinkerSpawn » November 25th, 2017, 11:50 am

Two different reduced versions of the catalyst:
x = 50, y = 23, rule = LifeHistory
4.2A30.2A$2A.A2.A24.2A3.A$.A.2A.A23.A.3A.A$A4.A.2A21.A4.A.2A$.3A.A.A
2.A20.3A.A.A2.A$3.A.AB2.2A22.A.AB2.2A$4.2AB27.2AB$5.3B27.3B$5.4B9.2A
15.4B9.2A$3.7B.2B5.A14.7B.2B5.A$3.5B2.3B2.BA.A14.5B2.3B2.BA.A$3.2BC8B
.B2A15.2BC8B.B2A$3.2B2C9B17.2B2C9B$3.B2C10B17.B2C10B$3.13B17.13B$4.
11B19.11B$5.10B.BA17.10B.BA$7.5BD3BA.A18.5BD3BA.A$9.2BD2B.2BA21.2BD2B
.2BA$10.B3D2.B23.B3D2.B$9.4B26.4B$8.4B26.4B$7.4B26.4B!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: The Hunting of the Elementary Conduits

Postby dvgrn » November 25th, 2017, 1:30 pm

calcyman wrote:Updated with the last year's new elementary conduits (and semi-cenarks, which I think are elementary enough to be included as G0-to-Gs rather than as a G0-to-C)...

Thanks! Was this a manual edit, not using the conduit compiler? For now I've changed the first post in this thread to include links to thunk's April version of the collection with the conduit compiler, and your November version without all the separate conduit files. Do you have a list of the standard names for everything that was added, or should I start XORing old vs. new stamp collections to figure that out?

I'm hoping to get around to collecting recovery-time information for all of these conduits, and include that in the labels, similar to what gmc_nxtman has done for the new H-to-H collection checked in to Golly. Maybe it would make more sense to put that information in a single lookup table instead of in comments in all those separate files... but it seems like separate files are what we have at the moment, so I'll probably just make the minimal adjustments needed to the current system.
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Re: The Hunting of the Elementary Conduits

Postby dbell » November 27th, 2017, 8:49 pm

The demultiplexer is a good one-time memory cell with an output in either case, and a switch is a good long-term memory cell for disabling a signal indefinitely.

But I want a way to combine these, so that a memory cell can indefinitely produce outputs in either case.

One solution is to take a demultiplexer, and put its boat-turned output through a splitter, and then feed one of those gliders back into the demultiplexer to rebuild the boat.

Another solution is to modify the switch to provide an output in both cases. This is what I did here. The two gliders in the middle are the usual set and reset inputs for the switch. Remove the lower left one to see the different glider output.

EDIT 2: Restored the original pattern.

#C An indefinite memory cell with outputs in either case.
#C David I. Bell, 28 November 2017
x = 143, y = 79, rule = LifeHistory
76.2A3.2A$76.2A2.A.3A$80.A4.A$76.4A.2A2.A$76.A2.A.A.A.2A$78.BABABA.A$
79.B2ABA.A$80.2B.BA$79.3B$70.2A6.4B$71.A6.B2A3B$71.A.AB3.B2A3B$72.2AB
.10B$74.13B$74.14B$74.15B$76.8B2.4B$76.6B5.4B$75.9B4.4B$74.4B4.2A5.4B
$73.4B5.A7.4B$72.4B7.3A5.4B$71.4B10.A6.4B$70.4B19.4B$69.4B21.4B$68.4B
23.4B$67.4B25.4B$66.4B27.4B$65.4B29.4B$55.A8.4B31.4B$53.5A5.4B5.2A26.
4B$52.A5.A4.4B5.A28.4B$52.A2.3AB2.7B.BA.A29.4B$51.2A.A.2B3.7B.B2A31.
4B$10.2A11.A27.A2.4A12B34.4B$9.B2AB9.A.A27.2A2.BA3B2A7B35.4B$10.3B9.A
.A2.2A3.A21.3AB.2B2A7B36.4B$9.B.B9.2A.2A2.A2.A.A20.A.B3.10B37.4B$9.5B
8.B2.A.A3.A.A12.2A3.2A.A8.8B25.2A10.4B$9.6B6.2ABA2.4A.A13.A4.2A.2A7.
9B24.A12.4B$9.8B4.2A.A.A3.A12.BA.A17.3B2.4B20.BA.A13.4B$10.13B2.A.AB
2.A9.B.B2A16.5B3.4B17.B.B2A15.4B$8.13B5.A.A2B.A7.4B18.2A7.4B15.4B18.
4B$7.15B5.A2B.2A7.4B19.A8.4B14.4B19.4B$7.15B4.3B10.5B9.A6.3A10.4B12.
5B20.4B.3B$6.17B.B.2B11.6B8.3A4.A7.B.3B.4B11.6B20.9B$6.29B2.8B11.A10.
18B2.8B21.8B$5.13B2A26B9.2A3.B5.2B2A26B21.9B$4.14B2A25B10.8B3.2B2A25B
23.8B$3.2AB3.27B.7B13.8B.20B.7B18.B4.9B$2.A2.A4.35B12.38B16.3B3.11B$.
A.2A5.6B3.B2.2B2.19B11.15B.2B2.19B14.6B2.13B$.A7.6B14.17B8.17B8.17B7.
13B.C12B$2A6.9B14.15B.2B2.19B11.15B.2B2.16BCBC9B$7.4B4.2A15.38B12.35B
2C11B11.2A$6.4B5.A16.8B.20B.7B13.8B.39B11.A$5.4B7.3A11.8B3.2B2A25B10.
8B3.2B2A13B2A24B4.BA.A$4.4B10.A11.2A3.B5.2B2A26B9.2A3.B5.2B2A13B2A27B
.B2A$3.4B24.A10.18B2.8B11.A10.47B$2.4B22.3A12.B.3B.4B11.6B8.3A12.B.3B
.5B.34B$.4B23.A20.3B12.5B9.A20.4B4.B2.29B$3CB43.4B14.4B29.4B7.29B$2BC
44.2A16.4B28.4B7.24B.2B$.C46.A17.B.B2A25.2C2B7.25B$45.3A20.BA.A23.CBC
B7.4B.20B$45.A25.A24.BC7.4B2.18B$71.2A31.4B4.18B.B$103.4B6.18B2A$102.
4B7.18B2A$101.4B8.3B3.13B$100.4B10.B2.3B.11B$99.4B14.2A2.9B$98.4B16.A
3.7B$97.4B14.3A5.4B$96.4B15.A8.5B$95.4B28.2A$94.4B29.A$93.4B31.3A$92.
4B34.A!

Like the original switch, the only problem with this unit is that you can't force it to a known state. It would really be nice to be able to reset it without already knowing what state it was in.

Maybe some simple salvo could be able to safely reset the memory unit.

I'm sure I'm trying to reinvent the wheel here. Is there a smaller or better solution to an indefinite switch with dual outputs?

BCNU,
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Re: The Hunting of the Elementary Conduits

Postby calcyman » November 28th, 2017, 4:23 am

dbell wrote:Maybe some simple salvo could be able to safely reset the memory unit.

I'm sure I'm trying to reinvent the wheel here. Is there a smaller or better solution to an indefinite switch with dual outputs?


Have you seen Paul Callahan's bistable switch? You can wire the '01' and '10' outputs of the bistable switch to the glider inputs of your circuit. (The '00' and '11' outputs can be safely eaten with eaters.)

http://conwaylife.com/wiki/Bistable_switch
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Re: The Hunting of the Elementary Conduits

Postby dbell » November 28th, 2017, 5:16 am

Thanks for showing me that bistable switch, calcyman! It is probably just what I want, and so simple and fast too.

It is also nice that Paul thought ahead and designed it so that a snark can fit between the two input paths:)

Some of the outputs aren't quite so convenient, though, being on nearby paths. I don't need all of them, so hopefully I can easily extract the signals I need.

Ah well, at least I had some more practice at building things.

BCNU,
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Re: The Hunting of the Elementary Conduits

Postby dvgrn » November 28th, 2017, 7:32 am

dbell wrote:Like the original switch, the only problem with this unit is that you can't force it to a known state. It would really be nice to be able to reset it without already knowing what state it was in.

Mostly just so it doesn't get lost, here's a more recent effort -- a switch structure that M.I. Wright came up with on the ill-fated first incarnation of the ConwayLife Lounge a little while ago. The READ input functions as a boat-keeper, but there's also a RESET input and a TOGGLE input:

x = 120, y = 141, rule = B3/S23
55b2o$54bobo$48b2o4bo$46bo2bo2b2ob4o$46b2obobobobo2bo$49bobobobo$49bob
ob2o$50bo2$63b2o$54b2o7bo$54b2o5bobo$61b2o7$51b2o$52bo$49b3o$49bo$53bo
19bobo3bobo3bo3bobo$53b3o20bo$56bo16bo5bo4bobo2bo2bo$55bobo18bo4bo$56b
o16bobo3bo4bobo2bo2bo$40b2o$41bo31bo2bo2bobo2bobo2bobo$17bo20b3o16b2o$
17b3o18bo18b2o$20bo15b2o34bo$19b2o14bo36bobo$35bo14b2o8b2o11bo$34b2obo
12b2o8b2o$11b2o20bo2b2o54bobobo2bo5bo4bo2bo3bobo$11bo21b2o33b2o$8b2obo
56bobo23bo3bobo2bo4bo4bo3bo$8bo2b3o4b2o49bo15bobobo29bo$9b2o3bo3b2o12b
ob2o44b2o12bo3bobo2bobo2bobo2bo3bo$11b4o17b2obo44bobo$11bo15b2o51bo13b
o4bo5bo4bo2bobobobo$12b3o12bobo$15bo13bo$10b5o14b2o3b2o$10bo20bobobo
35b2o$12bo18bobo32b2obo2bo26bo3bobo2bobo$11b2o17b2ob2o30bobob3o$62bo2b
obo30bobo2bo4bo$62b4ob3o19bobobobo9bo4bo$66bo3bo15b2o10bobo2bo4bo$64bo
bo2b2o15bobo$64b2o20bo12bo3bo4bo22$19b2o16b2o$18bobo16b2o7b2o$18bo27bo
$17b2o25bobo$44b2o6$28b2o$28b2o42bo$72b3o$42b2o31bo$26b2o14bobo29bobo$
25bobo16bo29bobo$25bo18b2o29bo$24b2o3$19b2o$18bo2bo2b2o64b2o$19b2o2bob
o64b2o$9bo11b2o16b2o$8bo12bo17bo$7bo10b2obo2bo15b3o$6bo11bob2obobo16bo
27b2o$2o3bo3bobobo8bobo44bobo$2o2bo14b2o2bo45bo$2obo5bo3bo3b3ob2o45b2o
7b2o$2o14bo60b2o$6o3bo3bo3b3ob2o$6o13bob2o62b2obo$9bo3bo51bo19b2ob3o$
29b2o34b3o23bo$9bobobo15b2o7b2o28bo16b2ob3o$38bo2bo25b2o15bo2b2o$36bob
ob2o41bobo$36b2obo42bobob3o$39bo43bo2bo2bo$39b3o18b2o24bobobo$42bo16bo
2bo22b2o2bobo$16b2o23b2o17b2o20bobo2bobobo$16b2o64b2o2b2ob2o2$57b2o$
58bo30bo$55b3o29b3o$32bo22bo30bo10bo$31bobo17b2o33b2o$31bobo10b2o5bobo
41bobo$32bo11b2o7bo$33b3o17b2o42bo$35bo$40bo56bo$39bobob2o$39bobobobo
41bo7bobobo$36b2obobobobo2bo12b2o18bo6bo$36bo2bo2b2ob4o13bo10b2o5bobo
6bo$38b2o4bo14b3o11b2o6bo8bo$44bobo12bo31bo3b2o$45b2o45bo2b2o$93bob2o$
95b2o$91b6o$91b6o!
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Re: The Hunting of the Elementary Conduits

Postby dbell » November 28th, 2017, 7:50 am

I'm not so sure about using the bistable switch for my purpose after all, nifty as it is.

The purpose of my circuit is to set a state which can then be repeatedly tested, not just once.

This is not possible with the bistable switch unless you add some extra circuitry like splitters, edge shooters, and snarks to keep resetting it as necessary.

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Re: The Hunting of the Elementary Conduits

Postby chris_c » November 28th, 2017, 8:55 am

dbell wrote:I'm not so sure about using the bistable switch for my purpose after all, nifty as it is.

The purpose of my circuit is to set a state which can then be repeatedly tested, not just once.

This is not possible with the bistable switch unless you add some extra circuitry like splitters, edge shooters, and snarks to keep resetting it as necessary.

BCNU,
-dbell


This could be closer to what you want. I'm not sure. The disadvantage is that it requires a glider pair to test the block. A Herschel creates (or recreates) the block and I'm guessing there will be a simple way to destroy the block depending on how the rest of the circuitry is completed. The 2G->H mechanism was mentioned here.

x = 55, y = 59, rule = LifeHistory
23.4BA3B23.B$22.5BABA23.2B$21.6B2A23.3B$20.8B23.4B$19.8B23.4B$18.8B
23.4B$11.4B2.A7B23.4B$11.4B.A7B23.4B$3.2A5.6B3A4B23.4B$4.A4.13B9.B13.
4B$4.A.AB.12B9.3B11.4B$5.2AB.11B8.6B8.5B$7.11B4.4B2.7B3.8B$7.11B2.26B
$7.40B$7.40B.3B$7.5B2A13B2A22B$8.4B2A13B2A21B2A$10.38B.B2A$10.9B5.23B
3.B$10.8B8.B2.18B$9.10B10.17B$8.12B9.17B$8.13B8.18B$8.14B8.18B2.2A$8.
15B7.4B2.12B3.A$8.16B12.14B.A.2A$8.16B13.7B4.2A.2A.A$8.16B12.10B3.A$
9.14B4.2A8.5B.B2A.A.A$10.14B2.A.A9.4B.B2AB2A$9.18BA10.3B4.B$8.18B13.
2B3.2A.2A$9.17B19.A.A$10.17B18.A.A$6.2A3.18B17.A$5.B2AB2.23B.B$5.4B2.
22B.B2A$2.B2.3B.26B2A$.32B.2B$33B$34B$34B$29B4.B2A$30B3.BA.A$30B6.A$.
11B.14B2.B2A4.2A$2.2B.16B.4B3.BA.A$.4B4.12B11.A$.B2AB4.12B11.2A$2.2A
5.11B$9.B3D4B.4B$9.2BD4B4.2A$9.2B3D2B4.A$9.6B6.3A$8.7B8.A$7.4B.B$6.4B
$5.4B!
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Re: The Hunting of the Elementary Conduits

Postby dvgrn » November 28th, 2017, 9:15 am

chris_c wrote:This could be closer to what you want. I'm not sure. The disadvantage is that it requires a glider pair to test the block.

That's not a glider pair that we know how to create cheaply, if I remember right. (?)

Here's the same block-keeper tested by a single glider instead of a tandem G4. Would mostly just have to wire up a glider from the pi-catching output circuit back over to the block-keeper input, to make a set-once, read-many-times memory cell.

The RESET (removing the block) would have to be done with an edge shooter pointed at a TWIT or sidesnagger, it looks like, but that's not terribly expensive as these things go.
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Re: The Hunting of the Elementary Conduits

Postby chris_c » November 28th, 2017, 9:26 am

dvgrn wrote:That's not a glider pair that we know how to create cheaply, if I remember right. (?)


No I don't think we do. I suppose your version is simpler but my version would allow a shorter time between reads.
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Re: The Hunting of the Elementary Conduits

Postby dbell » November 28th, 2017, 1:30 pm

The first part of a syringe can be used to create a small glider to boat converter.

There is no room to turn a glider with the boat, but a passing glider can test for it, destroying them both. If the boat is not present the glider passes safely by.

The input and testing paths are separated enough so that a snark can be used to make the connections to the converter easy.

Here is the converter along with two test gliders.
#C A glider to boat converter based on part of a syringe.
#C The boat can be tested for by a passing glider.
#C David I. Bell, 29 November 2017
x = 69, y = 77, rule = LifeHistory
.C$2BC$3CB$.4B$2.4B$3.4B$4.4B$5.4B$6.4B$7.4B$8.4B$9.4B$10.4B$11.4B$
12.4B$13.4B$14.4B$15.3BC$16.3BC$17.3CB$18.4B$19.4B$20.4B$21.4B$22.4B$
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$36.4B$37.4B$38.4B$39.4B$40.4B$41.4B$42.4B$43.4B$44.4B$27.C
17.4B$26.2BC17.4B$26.3CB17.4B$27.4B17.4B$28.4B17.4B$29.4B17.4B$30.4B
10.A6.4B$31.4B7.3A7.4B$32.4B5.A11.5B$33.4B4.2A11.4B$26.2A6.9B8.8B$27.
A7.6B9.10B$27.A.2A5.6B3.B2.13B$28.A2.A4.20B2.4B$29.2AB3.21B3.4B$30.
14B2A10B4.4B$31.13B2A10B5.4B$32.21B2.B2A4.4B$32.17B.B4.BA.A4.4B$33.
15B10.A5.4B$33.15B10.2A5.4B$34.13B$36.13B$35.8B4.2A.A$35.6B6.2AB3A$
35.5B8.B4.A$35.B.B9.2A.3A$36.3B9.A.A$35.B2AB9.A.A$36.2A11.A!

Surely this is already known since it is rather simple.

At any rate, this will be useful as a way to safely RESET my indefinite switch circuit after it has been used.

Assume the switch has two states, A and B, and the switch starts off in the default A state and there is no boat in the converter.

If you want to set the switch to state B, just do so directly.

Alternatively, if you want to set the switch to state A, then use this converter to create a boat and don't touch the switch.

Later, in order to RESET the switch to its default A state, just test for the boat and send the result to the A input of the switch.

This all assumes that you only want to set the state of the switch once before it is RESET. But that is exactly what I want.

BCNU,
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Re: The Hunting of the Elementary Conduits

Postby chris_c » November 28th, 2017, 7:44 pm

For fun I completed my proposed glider pair block reading circuit. The repeat time of the read is 94 ticks. Here it is connected to some circuitry that allows the block to be set or reset based on an input Herschel:

x = 243, y = 179, rule = LifeHistory
135.2A$134.A.A$128.2A4.A$126.A2.A2.2A.4A$126.2A.A.A.A.A2.A$129.A.ABAB
AB$129.A.AB2AB$130.AB.2B$133.3B$133.4B6.2A$131.3B2AB6.A$131.3B2AB3.BA
.A$129.10B.B2A$128.13B$127.14B$126.15B$125.4B2.8B$124.4B5.6B$123.4B4.
9B$122.4B5.2A4.4B$121.4B7.A5.4B$120.4B5.3A7.4B$119.4B6.A10.4B$118.4B
19.4B$117.4B21.4B$116.4B23.4B$115.4B7.2A16.4B$114.4B7.B2AB16.4B$113.
4B2.B6.2B18.4B$112.4B2.3B4.2B20.4B$111.17B20.4B$110.18B21.4B$109.4B.
17B5.B13.4B$108.4B.25B13.4B$107.33B12.4B$106.34B.B11.4B$105.36B2A11.
4B$104.37B2A12.4B$103.8B3.28B14.4B$102.8B7.16B.B4.3B15.4B$101.8B9.2B.
10B27.4B$100.8B13.9B29.4B$99.8B15.11B27.4B$98.8B16.12B27.4B$97.8B17.
12B7.2A19.4B$96.8B19.11B2.2A2.A2.A19.4B$95.8B18.4B.8B2.A.A2.2A21.4B$
94.8B19.2A4.7B3.B.2A24.4B$93.8B21.A4.7B2.2B2.A25.4B$92.8B19.3A6.6B.2B
AB.A.2A23.4B$91.8B20.A8.8BA.A.2A.A24.4B$90.8B30.8B.A.A29.4B$89.8B32.
5B4.A2.2A27.4B$88.8B33.6B4.2A.3A26.4B43.2A7.A$87.8B33.6B6.B4.A26.4B
41.B2AB4.3A$86.8B34.7B3.B2AB3A28.4B40.3B4.A8.2A$85.8B36.8B.B2A.A31.4B
10.2A16.2A10.B.B3.2A7.A$84.8B37.10B36.4B9.A16.A2.A2.2A3.10B4.BA.A$83.
8B37.3B2A6B37.4B10.A15.2A2.A.A3.8B6.B2A$82.8B32.2A5.2B2A6B31.2A5.4B5.
5A17.2A.B3.8BA2B2.3B$81.8B34.A5.10B32.A5.4B4.A22.A2.2B.7B2ABA6B6.A$
80.8B35.A.AB2.11B7.2A22.A.AB.7B2.B3A16.2A.A.11BA2BA5B5.3A$79.8B37.2AB
.13B6.A24.2AB.7B3.2B.A15.A2.A.2A4BA4B3A5B5.A$78.8B40.16B2.BA.A26.12B
4A17.2A.2A3BA2BA10B4.B2A$77.8B41.17B.B2A27.7B2A3BAB2.2A19.2B.2B2A11B.
6B$76.8B42.19B29.7B2A2B.B3A2.A21.20B$75.8B8.2A33.19B29.10B3.B.A.2A19.
6B.15B.2B$74.8B9.A.A31.20B28.8B8.A22.2AB4.17B2A.2A$73.8B12.A4.2A24.4B
2.8B.5B11.A16.9B7.2A23.A5.17B2A.A2.A$72.8B9.4A.2A2.A2.A21.4B4.7B.2B5.
2A5.3A15.4B2.3B30.3A5.20B.A.2A$71.8B10.A2.A.A.A.A.2A20.4B5.6B8.B2AB3.
A17.4B3.5B28.A6.17B.2B2.A$70.8B13.BABABA.A10.2A10.4B6.4B11.2B4.2A15.
4B7.2A34.4B2.11B3.B.2A$69.8B4.A10.B2ABA.A11.A9.4B5.A3B14.7B14.4B8.A
34.4B5.8B3.A.A2.2A$68.8B3.3A11.2B.BA10.A10.4B5.A.AB14.6B15.4B10.3A30.
4B4.10B3.2A2.A2.A$67.10B.A13.3B13.5A5.4B5.A.BA14.8B13.4B13.A29.4B5.2A
3.B.B10.2A$66.11BA.A3.2A6.4B18.A4.4B5.A.A14.9B12.4B19.A23.A3B7.A4.3B$
65.10B.2BAB4.A6.B2A3B13.3AB2.7B.BA.A.A.A10.12B10.4B.3B.B12.3A22.A3B5.
3A4.B2AB$64.10B3.2B5.A.AB3.B2A3B12.A.2B3.7B.B2A3.2A9.12B4.18B10.A24.B
3A6.A7.2A$63.10B3.2B7.2AB.10B10.4A12B17.12B2.16B2A2B5.B3.2A11.A10.4B$
62.10B3.B2AB8.13B7.2A2.BA3B2A7B17.12B2.16B2A2B3.8B11.3A7.4B$55.4B2.
10B5.2A9.14B5.A2.3AB.2B2A7B5.A10.14B.20B.8B16.A5.4B$55.4B.10B17.15B4.
2A.A.B3.10B5.3A7.45B15.2A4.4B$47.2A5.15B20.8B2.4B6.A8.8B7.A5.4B2.21B
2.2B.15B14.9B6.2A$48.A4.15B7.B13.6B5.4B5.2A7.9B5.2A4.4B4.17B8.17B14.
6B7.A$48.A.AB.14B7.3B11.9B4.4B14.3B2.4B4.9B4.16B11.19B2.2B2.B3.6B5.2A
.A$49.2AB.13B6.6B8.5B4.2A5.4B11.5B3.4B5.6B5.15B12.35B4.A2.A$51.14B.4B
2.7B3.8B5.A7.4B10.2A7.4B2.8B4.17B12.7B.27B3.B2A$51.39B6.3A5.4B10.A8.
15B3.8B.7B11.25B2A14B$46.2A3.40B7.A6.4B6.3A10.14B4.6B4.3B.B2A8.26B2A
13B$45.B2AB2.40B.3B11.4B5.A13.13B5.4B9.BA.A8.8B2.29B$46.2B3.5B2D13B2A
22B12.4B19.10B.B2A3.6B10.A8.6B11.2B.B.17B$45.2B3.6B2D13B2A21B2A12.4B
20.3B2AB3.BA.A3.B.B2A.A8.2A8.5B10.3B4.15B$44.BA2B.43B.B2A13.4B19.3B2A
B6.A5.B2AB3A16.4B7.2A.2BA5.15B$44.A.A16B5.23B3.B15.4B20.4B6.2A6.B4.A
15.4B7.A.2BA.A5.13B$45.A.15B8.B2.18B20.4B19.3B14.2A.3A14.2AB.B9.A2.BA
.A2.13B$42.3A4.14B10.17B22.4B15.AB.2B16.A.A15.A.AB12.A3.A.A.2A4.8B$
42.A6.15B9.17B23.4B13.A.AB2AB15.A.A15.A13.A.4A2.AB2A6.6B$48.17B8.18B
23.4B12.A.ABABAB15.A15.2A12.A.A3.A.A2.B8.5B$47.19B8.18B2.2A19.4B8.2A.
A.A.A.A2.A43.A.A2.A2.2A.2A9.B.B$46.21B7.4B2.12B3.A20.4B7.A2.A2.2A.4A
44.A3.2A2.A.A9.3B$45.6B.16B12.14B.A.2A18.4B8.2A4.A56.A.A9.B2AB$44.6B
2.16B13.7B4.2A.2A.A19.4B13.A.A55.A11.2A$43.6B3.16B12.10B3.A25.4B13.2A
$42.6B5.14B4.2A8.5B.B2A.A.A26.4B$41.6B7.14B2.A.A9.4B.B2AB2A28.4B$40.
6B7.18BA10.3B4.B32.4B$39.6B7.18B13.2B3.2A.2A30.4B$38.6B9.17B19.A.A32.
4B$37.6B11.17B18.A.A33.4B$36.6B8.2A3.18B17.A35.4B$35.6B8.B2AB2.23B.B
47.4B$34.6B9.4B2.22B.B2A47.4B$33.6B7.B2.3B.26B2A48.4B$32.6B7.32B.2B
50.4B$31.6B7.33B54.4B$30.6B8.34B$29.6B9.34B$28.6B10.29B4.B2A$27.6B11.
30B3.BA.A$26.6B12.30B6.A$25.2B3AB14.11B.14B2.B2A4.2A$24.5BA16.2B.16B.
4B3.BA.A$23.5BA16.4B4.12B11.A$22.6B17.B2AB4.12B11.2A$21.6B19.2A5.11B$
20.6B27.B3C4B.4B$19.6B5.2A21.2BC4B4.2A$18.8B3.A2.A20.2B3C2B4.A$17.10B
.B.A.A20.6B6.3A$16.13B2A2.2A17.7B8.A$15.14B2.2A2.A15.4B.B$14.15B2A3.
2A14.4B$13.4B.10B2.A18.4B$12.4B2.9B2.A18.4B$11.16B3.3A14.4B$10.15B7.A
14.3B$9.17B19.2AB$8.18B18.A.AB$7.4B.13B19.A$6.4B3.11B19.2A$5.4B3.14B$
4.4B4.2B2A11B$3.4B6.B2A11B$2.4B7.14B$.4B8.4B.8B$4B10.2B.9B3.2A$3B14.
8B3.A.A$2B15.8B3.A$B16.9B.2A$16.11B$15.12B$15.12B$8.2A6.10B$9.A7.11B$
9.A.AB.14B$10.2AB.13B2A$12.15B2A$11.15B.B$12.14B$10.2AB.11B$9.A.AB3.
9B$9.A8.8B$8.2A9.7B$16.11B$15.12B$15.12B$15.11B$15.B3D4B.4B$15.2BD4B
4.2A$15.2B3D2B4.A$15.6B6.3A$14.7B8.A$13.4B.B$12.4B$12.3B$10.2AB$9.A.A
B$9.A$8.2A!


Or connected to a block toggling circuit. This shows 8 reads in the on position followed by 8 reads in the off position:

x = 214, y = 226, rule = LifeHistory
106.2A$105.A.A$99.2A4.A$97.A2.A2.2A.4A$97.2A.A.A.A.A2.A$100.A.ABABAB$
100.A.AB2AB$101.AB.2B$104.3B$104.4B6.2A$102.3B2AB6.A$102.3B2AB3.BA.A$
100.10B.B2A$99.13B$98.14B$97.15B$96.4B2.8B$95.4B5.6B$94.4B4.9B$93.4B
5.2A4.4B$92.4B7.A5.4B$91.4B5.3A7.4B$90.4B6.A10.4B$89.4B19.4B$88.4B21.
4B$87.4B23.4B$86.4B7.2A16.4B$85.4B7.B2AB16.4B$84.4B2.B6.2B18.4B$83.4B
2.3B4.2B20.4B$82.17B20.4B$81.18B21.4B$80.4B.17B5.B13.4B$79.4B.25B13.
4B$78.33B12.4B$77.34B.B11.4B$76.36B2A11.4B$75.37B2A12.4B$74.8B3.28B
14.4B$73.8B7.16B.B4.3B15.4B$72.8B9.2B.10B27.4B$71.8B13.9B29.4B$70.8B
15.11B27.4B$69.8B16.12B27.4B$68.8B17.12B7.2A19.4B$67.8B19.11B2.2A2.A
2.A19.4B$66.8B18.4B.8B2.A.A2.2A21.4B$65.8B19.2A4.7B3.B.2A24.4B$64.8B
21.A4.7B2.2B2.A25.4B$63.8B19.3A6.6B.2BAB.A.2A23.4B$62.8B20.A8.8BA.A.
2A.A24.4B$61.8B30.8B.A.A29.4B$60.8B32.5B4.A2.2A27.4B$59.8B33.6B4.2A.
3A26.4B43.2A7.A$58.8B33.6B6.B4.A26.4B41.B2AB4.3A$57.8B34.7B3.B2AB3A
28.4B40.3B4.A8.2A$56.8B36.8B.B2A.A31.4B10.2A16.2A10.B.B3.2A7.A$55.8B
37.10B36.4B9.A16.A2.A2.2A3.10B4.BA.A$54.8B37.3B2A6B37.4B10.A15.2A2.A.
A3.8B6.B2A$53.8B32.2A5.2B2A6B31.2A5.4B5.5A17.2A.B3.11B2.3B$52.8B34.A
5.10B32.A5.4B4.A22.A2.2B.17B6.A$51.8B35.A.AB2.11B7.2A22.A.AB.7B2.B3A
16.2A.A.20B5.3A$50.8B37.2AB.13B6.A24.2AB.7B3.2B.A15.A2.A.2A17B5.A$49.
8B40.16B2.BA.A26.12B4A17.2A.2A17B4.B2A$48.8B41.17B.B2A27.7B2A3BAB2.2A
19.2B.BA13B.6B$47.8B42.19B29.7B2A2B.B3A2.A21.2BA17B$46.8B8.2A33.19B
29.10B3.B.A.2A19.A3BAB.11BA3B.2B$45.8B9.A.A31.20B28.8B8.A22.A2B4.11B
2A4B2A.2A$44.8B12.A4.2A24.4B2.8B.5B11.A16.9B7.2A23.A5.5B2A10B2A.A2.A$
43.8B9.4A.2A2.A2.A21.4B4.7B.2B5.2A5.3A15.4B2.3B30.3A5.5BABA3B2A7B.A.
2A$42.8B10.A2.A.A.A.A.2A20.4B5.6B8.B2AB3.A17.4B3.5B28.A6.6BABA8B.2B2.
A$41.8B13.BABABA.A10.2A10.4B6.4B11.2B4.2A15.4B7.2A34.4B2.2BA8B3.B.2A$
40.8B15.B2ABA.A11.A9.4B5.A3B14.7B14.4B8.A34.4B5.8B3.A.A2.2A$39.8B17.
2B.BA10.A10.4B5.A.AB14.6B15.4B10.3A30.4B4.10B3.2A2.A2.A$38.8B17.3B13.
5A5.4B5.A.BA14.8B13.4B13.A29.4B5.2A3.B.B10.2A$37.8B9.2A6.4B18.A4.4B5.
A.A14.9B12.4B19.A23.4B7.A4.3B$36.8B11.A6.B2A3B13.3AB2.7B.BA.A.A.A10.
12B10.4B.3B.B12.3A22.4B5.3A4.B2AB$35.8B12.A.AB3.B2A3B12.A.2B3.7B.B2A
3.2A9.12B4.18B10.A24.4B6.A7.2A$34.8B14.2AB.10B10.4A12B17.12B2.16B2A2B
5.B3.2A11.A10.4B$33.8B17.13B7.2A2.BA3B2A7B17.12B2.16B2A2B3.8B11.3A7.
4B$32.8B18.14B5.A2.3AB.2B2A7B5.A10.14B.20B.8B16.A5.4B$31.8B19.15B4.2A
.A.B3.10B5.3A7.45B15.2A4.4B$30.8B22.8B2.4B6.A8.8B7.A5.4B2.21B2.2B.15B
14.9B6.2A$23.4B2.8B23.6B5.4B5.2A7.9B5.2A4.4B4.17B8.17B14.6B7.A$23.4B.
8B23.9B4.4B14.3B2.4B4.9B4.16B11.19B2.2B2.B3.6B5.2A.A$15.2A5.13B23.4B
4.2A5.4B11.5B3.4B5.6B5.15B12.35B4.A2.A$16.A4.13B9.B13.4B5.A7.4B10.2A
7.4B2.8B4.17B12.7B.27B3.B2A$16.A.AB.12B9.3B11.4B7.3A5.4B10.A8.15B3.8B
.7B11.25B2A14B$17.2AB.11B8.6B8.5B10.A6.4B6.3A10.14B4.6B4.3B.B2A8.26B
2A13B$19.12B3.4B2.7B3.8B19.4B5.A13.13B5.4B9.BA.A8.8B2.29B$19.11B2.26B
20.4B19.10B.B2A3.6B10.A8.6B11.2B.B.17B$14.2A3.40B20.4B20.3B2AB3.BA.A
3.B.B2A.A8.2A8.5B10.3B4.15B$13.B2AB2.40B.3B17.4B19.3B2AB6.A5.B2AB3A
16.4B7.2A.2BA5.15B$14.2B3.5B2A13B2A22B18.4B20.4B6.2A6.B4.A15.4B7.A.2B
A.A5.13B$13.2B3.6B2A13B2A21B2A18.4B19.3B14.2A.3A14.2AB.B9.A2.BA.A2.
13B$12.BA2B.43B.B2A19.4B15.AB.2B16.A.A15.A.AB12.A3.A.A.2A4.8B$12.A.A
14B.B5.23B3.B21.4B13.A.AB2AB15.A.A15.A13.A.4A2.AB2A6.6B$13.A.14B9.B2.
18B26.4B12.A.ABABAB15.A15.2A12.A.A3.A.A2.B8.5B$10.3A4.13B11.17B28.4B
8.2A.A.A.A.A2.A43.A.A2.A2.2A.2A9.B.B$10.A6.4B.8B11.17B23.2A4.4B7.A2.A
2.2A.4A44.A3.2A2.A.A9.3B$16.4B2.9B10.18B21.A.A5.4B8.2A4.A56.A.A9.B2AB
$15.4B3.10B10.18B2.2A10.2A4.A8.4B13.A.A55.A11.2A$14.4B4.6B.4B9.4B2.
12B3.A8.A2.A2.2A.4A5.4B13.2A$13.4B5.5B3.4B14.14B.A.2A5.2A.A.A.A.A2.A
6.4B$12.4B5.6B4.4B14.7B4.2A.2A.A8.A.ABABAB9.4B$11.4B7.6B4.4B12.10B3.A
13.A.AB2AB11.4B$10.4B7.7B5.4B12.5B.B2A.A.A14.AB.2B13.4B$9.4B8.6B7.4B
12.4B.B2AB2A18.3B13.4B$8.4B9.6B8.4B11.3B4.B21.4B6.2A5.4B$7.4B10.6B9.
4B11.2B3.2A.2A16.3B2AB6.A7.4B$6.4B10.8B9.4B16.A.A17.3B2AB3.BA.A8.4B$
5.4B12.8B9.4B15.A.A15.10B.B2A10.4B$4.4B12.9B10.4B15.A15.13B13.4B$3.4B
13.9B11.4B29.14B14.4B$2.4B14.10B11.4B27.15B15.4B$.4B15.5B2A3B12.4B25.
4B2.8B18.4B$4B16.5B2A4B12.4B23.4B5.6B19.4B$3B17.11B13.4B21.4B4.9B19.
4B$2B18.12BA.2A9.4B19.4B5.2A4.4B10.2A7.4B$B21.8B2.2A.A10.4B6.A10.4B7.
A5.4B9.A9.4B$22.7B18.4B5.3A7.4B5.3A7.4B10.A8.4B$22.5B21.4B7.A5.4B6.A
2.3A5.4B5.5A9.4B$14.2A5.6B22.4B5.2A4.4B9.A2.A5.4B4.A15.4B$15.A6.6B22.
4B4.9B9.2A2.A.AB.7B2.B3A13.4B$15.A.AB2.8B22.4B5.6B15.2AB.7B3.2B.A13.
4B$16.2AB2.9B22.4B2.8B17.12B4A14.4B$18.12B23.15B15.7B2A3BAB2.2A13.4B$
18.12B24.14B15.7B2A2B.B3A2.A13.4B$18.10B.B2A23.13B15.10B3.B.A.2A14.4B
$19.8B2.BA.A23.10B.B2A12.8B8.A13.A4.4B$18.8B6.A25.3B2AB3.BA.A10.9B7.
2A13.3A3.4B$19.8B5.2A24.3B2AB6.A9.4B2.3B26.A3.4B$20.7B33.4B6.2A7.4B3.
5B23.2A4.4B$17.11B32.3B15.4B7.2A14.A8.4B3.4B$16.12B29.AB.2B15.4B8.A
14.A.A9.3B3.4B$7.2A7.12B28.A.AB2AB13.4B10.3A3.A3.2A2.A.A8.5B3.4B$6.A
2.A2.2A2.11B29.A.ABABAB11.4B13.A2.A.A2.A2.2A.2A7.5B4.4B$7.2A2.A.A2.8B
.4B24.2A.A.A.A.A2.A8.4B17.A.A3.A.A2.B7.6B5.4B$9.2A.B3.7B4.2A24.A2.A2.
2A.4A7.4B19.A.4A2.AB2A5.8B5.4B$9.A2.2B2.7B4.A27.2A4.A10.4B22.A3.A.A.
2A4.9B6.4B$6.2A.A.BA2B.6B6.3A30.A.A7.4B22.A2.BA.A2.13B9.4B$6.A.2A.A.A
8B8.A31.2A6.4B22.A.2BA.A5.13B8.4B$10.A.A.8B30.A16.4B23.2A.2BA5.15B8.
4B$7.2A2.A4.5B22.2A5.3A15.4B10.A17.3B4.15B9.4B$5.3A.2A4.6B21.B2AB3.A
17.4B11.3A16.2B.B.17B9.4B$4.A4.B6.6B21.2B4.2A15.4B15.A8.29B10.4B$5.3A
B2AB3.7B22.7B14.4B15.2A7.16B2A13B10.4B$7.A.2AB.8B22.6B15.4B16.5B.B2.
16B2A14B10.4B$11.10B21.8B13.4B19.6B.27B3.B2A10.4B$11.6B2A3B19.9B12.4B
4.B.7B7.33B4.A2.A10.4B$11.6B2A2B5.2A11.12B10.4B.13B3.B.19B2.2B2.B3.6B
5.2A.A10.4B$11.10B5.A2.A8.12B4.46B14.6B7.A11.4B$10.11B2.BA.A.2A9.12B
2.45B14.9B6.2A11.4B$10.12B.B2A.A11.12B2.44B15.2A4.4B19.4B$9.15B3.A10.
14B.22B2A21B15.A5.4B19.4B$8.16B3.3A7.38B2A13B.7B12.3A7.4B19.4B$5.2B.
16B6.A5.4B2.21B2.2B3.11B2.6B4.3B.B2A10.A10.4B19.4B$4.2A18B5.2A4.4B4.
17B11.10B3.4B9.BA.A21.4B19.4B$4.2AB.17B4.9B4.16B16.6B5.5B10.A22.4B19.
4B$5.B.4B.8B2.4B5.6B5.15B19.3B9.2A10.2A22.4B19.4B$12.7B4.4B2.8B4.17B
20.B9.A36.4B19.4B$13.6B5.15B3.8B.7B20.2A9.3A34.4B19.4B$15.4B6.14B4.6B
4.3B.B2A19.A11.A35.4B19.4B$17.3BA5.13B5.4B9.BA.A17.A49.4B19.4B$18.BA.
A5.10B.B2A3.6B10.A17.2A49.4B19.4B$19.A.A7.3B2AB3.BA.A3.B.B2A.A8.2A68.
4B19.4B$20.A8.3B2AB6.A5.B2AB3A77.4B19.4B$21.3A7.4B6.2A6.B4.A77.4B19.
4B$23.A7.3B14.2A.3A79.4B19.4B$28.AB.2B16.A.A82.4B19.4B$27.A.AB2AB15.A
.A83.4B19.4B$27.A.ABABAB15.A85.4B19.4B$24.2A.A.A.A.A2.A100.6B17.4B$
24.A2.A2.2A.4A101.5B18.4B$26.2A4.A96.B5.B2.6B18.4B$32.A.A93.3B3.10B
19.4B$33.2A91.A3BA3.A3BA6B19.4B$125.BA2BA.A.A.A2BA7B19.4B$125.5B2A.2A
5B3.4B19.4B$125.7B.7B4.4B19.4B$125.2BA2B2A.2A2BA2B5.4B19.4B$125.BABA
3B.3BABAB6.4B19.4B$125.2B2AB2A.2AB2A2B7.4B19.4B$125.2B2A2BA.A2B2A2B8.
4B19.4B$125.4BA.A.A.A4B9.4B19.4B$126.4BA3.A4B11.4B10.2A7.4B$128.3B3.
3B14.4B9.A9.4B$129.B5.B9.2A5.4B.2B7.A8.4B$139.2A5.A5.7B6.2A9.4B$132.
2A4.A2.A4.A.AB.10B.BAB2.2A8.4B$132.A2.A3.A.A5.2AB.12B4A2.A8.4B$134.5A
.A8.15B2.A.2A9.4B$138.A10.7B2A5B2A.A.A11.4B$127.2A5.2AB2.A9.7B2A3B.B
2A.A.A12.4B$128.A4.B2A3B.A8.11B3.B.BA.2A12.4B$128.A.2A.5B.2A7.8B.B8.A
16.4B$129.ABA2.3B10.9B8.A.A$130.3A5B8.10B8.2A$131.2A5B7.4B3.4B.2A$
130.B2A6B5.4B5.4B.A$127.2B.10B3.4B5.B2A2B.A.2A$126.2A11B3.4B7.2A2B2A.
A2.A$126.2AB.15B11.3B.A.2A$127.B.15B5.2A2.2A5.A$130.14B5.A3.A5.2A$
130.15B.BA.A5.A$130.12B2AB.B2A5.2A$128.2AB.9BA2BA2B$127.A.AB.9B2ABA2B
$127.A5.14B$126.2A5.5BA9B.B$132.15B.B2A$131.4B3.A3BA6B2A$131.3B3.3B3A
4B.2B$129.4B5.2BA6B$129.2A8.7B$130.A8.8B$127.3A10.3B2.B2A$127.A8.2A.
5B.BA.A$136.A.3B2AB4.A$137.A2.B2A5.2A$138.A$136.A.5A$135.A.A4.A$135.A
.A2.A$136.A3.2A!
chris_c
 
Posts: 839
Joined: June 28th, 2014, 7:15 am

Re: The Hunting of the Elementary Conduits

Postby dbell » December 7th, 2017, 9:43 pm

Here is a circuit which can turn a glider from its path (if it is present), without having any components nearby or on the other side of the glider's path. This uses a guarded kick-back reaction where nothing escapes if the glider is not present.

Obviously the timing of the circuit must be synchronised with the other components that can produce the glider.

Remove the upper right glider to see how the circuit functions without having a glider to snatch.

#C A "glider snatcher" circuit which is an active highway robber.
#C It can extract a glider from a path without any apparatus near
#C the glider's path or above it.
#C David I. Bell, 8 December 2017
x = 337, y = 418, rule = LifeHistory
334.CB$333.BCBC$332.2B2C$331.4B$330.4B$329.4B$328.4B$327.4B$326.4B$
325.4B$324.4B$323.4B$322.4B$321.4B$320.4B$319.4B$318.4B$317.4B$316.4B
$315.4B$314.4B$313.4B$312.4B$311.4B$310.4B$309.4B$308.4B$307.4B$306.
4B$305.4B$304.4B$303.4B$302.4B$301.4B$300.4B$299.4B$298.4B$297.4B$
296.4B$295.4B$294.4B$293.4B$292.4B$291.4B$290.4B$289.4B$288.4B$287.4B
$286.4B$285.4B$284.4B$283.4B$282.4B$281.4B$280.4B$279.4B$278.4B$277.
4B$276.4B$275.4B$274.4B$273.4B$272.4B$271.4B$270.4B$269.4B$268.4B$
267.4B$266.4B$265.4B$264.4B$263.4B$262.4B$261.4B$260.4B$259.4B$258.4B
$257.4B$256.4B$255.4B$254.4B$253.4B$252.4B$251.4B$250.4B$249.4B$248.
4B$247.4B$246.4B$245.4B$244.4B$243.4B$242.4B$241.4B$240.4B$239.4B$
238.4B$237.4B$236.4B$235.4B$234.4B$233.4B$232.4B$231.4B$230.4B$229.4B
$228.4B$227.4B$226.4B$225.4B$224.4B$223.4B$222.4B$221.4B$220.4B$219.
4B$218.4B$217.4B$216.4B$215.4B$214.4B$213.4B$212.4B$211.4B$210.4B$
209.4B$208.4B$207.4B$206.4B$205.4B$204.4B$203.4B$202.4B$201.4B$200.4B
$199.4B$198.4B$197.4B$196.4B$195.4B$194.4B$193.4B$192.4B$191.4B$190.
4B$189.4B$188.4B$187.4B$186.4B$185.4B$184.4B$183.4B$182.4B$181.4B$
180.4B$179.4B$178.4B$177.4B$176.4B$175.4B$174.4B$173.4B$172.4B$171.4B
$170.4B$169.4B$168.4B$167.4B$166.4B$165.4B$164.4B$163.4B$162.4B$161.
4B$160.4B$159.4B$158.4B$157.4B$156.4B$155.4B$154.4B$153.4B$152.4B$
151.4B$150.4B$149.4B$148.4B$147.4B$146.4B$145.4B$144.4B$143.4B$142.4B
$141.4B$140.4B$139.4B$138.4B$137.4B$136.4B$135.4B$134.4B$133.4B$132.
4B$131.4B$130.4B$129.4B$128.4B$127.4B$126.4B$125.4B$124.4B$123.4B$
122.4B$121.4B$120.4B$119.4B$118.4B$117.4B$116.4B$115.4B$114.4B$113.4B
$112.4B$111.4B$110.4B$109.4B$108.4B$107.4B$106.4B$105.4B$104.4B$103.
4B$102.4B$101.4B$100.4B$99.4B$98.4B$97.4B$96.4B$95.4B$94.4B$93.4B$92.
4B$91.4B$90.4B$89.4B$88.4B$87.4B$86.4B$85.4B$84.4B$83.4B$82.4B$81.4B$
80.4B$79.4B$78.4B$77.4B$76.4B$75.4B$74.4B$73.4B$72.4B$71.4B$70.4B$69.
4B$68.4B$67.6B$65.9B$65.10B$63.6B2.5B$62.5B5.5B$61.4B8.5B$60.4B10.5B$
59.4B12.5B$58.4B14.5B$57.4B16.5B$56.4B18.5B$55.4B20.5B$54.4B22.5B$53.
4B24.5B$52.4B26.5B$51.4B28.5B$50.4B30.5B$49.4B32.5B$48.4B34.5B$47.4B
36.5B$46.4B38.5B$45.4B40.5B$44.4B42.5B$43.4B44.5B$42.4B46.5B$41.4B48.
5B$40.4B50.5B$39.4B52.5B$38.4B54.5B$37.4B39.A11.2A3.5B$36.4B39.A.A9.B
2AB3.5B$35.7B29.A3.2A2.A.A9.3B5.5B$35.9B26.A.A2.A2.2A.2A9.B.B5.5B$34.
11B11.2A12.A.A3.A.A2.B8.5B6.5B$31.13B13.A13.A.4A2.AB2A6.6B7.5B$30.14B
13.A.AB12.A3.A.A.2A4.8B8.5B$29.16B13.2AB.B9.A2.BA.A2.13B10.5B$29.17B
14.4B7.A.2BA.A5.13B9.5B$28.18B14.4B7.2A.2BA5.15B9.5B$28.19B13.5B10.3B
4.15B10.5B$27.20B12.6B11.2B.B.17B10.5B$26.20B13.8B2.29B11.5B$27.21B
10.26B2A13B11.5B$27.21B11.25B2A14B11.5B$29.19B12.7B.27B3.B2A11.5B$30.
17B12.35B4.A2.A11.5B$30.18B11.19B2.2B2.B3.6B5.2A.A11.5B$30.20B8.17B
14.6B7.A12.5B$31.22B2.2B.15B14.9B6.2A12.5B$31.41B15.2A4.4B20.5B$33.
30B.8B16.A5.4B20.5B$34.25B2A2B3.8B11.3A7.4B20.5B$34.25B2A2B5.B3.2A11.
A10.4B8.A11.5B$34.28B10.A17.2A5.4B5.5A10.5B$34.13B4.4B.3B.B12.3A15.A
5.4B4.A5.A10.5B$34.6B4.3B5.3B20.A15.A.AB.7B2.B3A2.A11.5B$33.7B5.4B4.
4B35.2AB.7B3.2B.A.2A11.5B$34.6B7.2A6.2A37.12B4A2.A12.5B$35.6B6.A7.A
38.7B2A3BAB2.2A14.5B$35.6B7.3A5.3A35.7B2A2B.B3A17.5B$34.8B8.A7.A35.
10B3.B.A18.5B$35.6B52.8B8.A.2A16.5B$34.7B51.9B7.2A.2A17.5B$32.11B48.
4B2.3B31.5B$30.9B2A2B.B45.4B3.5B30.5B$30.9B2A3B2A43.4B7.2A31.5B$30.
14B2A42.4B8.A33.5B$31.14B42.4B10.3A31.5B$31.3B.2B2.B2.5B39.4B13.A32.
5B$31.2A5.3B4.2A38.4B48.5B$32.A4.B2AB4.A38.4B50.5B$29.3A6.2A6.3A34.4B
52.5B$29.A18.A33.4B54.5B$81.4B56.5B$31.2A3.2A42.4B58.5B$31.2A2.A.3A
39.4B60.5B$35.A4.A37.4B62.5B$31.4A.2A2.A36.4B64.5B$31.A2.A.A.A.2A34.
4B66.5B$33.BABABA.A34.4B68.5B$34.B2ABA.A33.4B70.5B$35.2B.BA33.4B72.5B
$34.3B35.4B74.5B$25.2A6.4B34.4B76.5B$26.A6.B2A3B31.4B78.5B$26.A.AB3.B
2A3B30.4B80.5B$27.2AB.10B27.4B82.5B$29.13B25.4B32.2A11.A38.5B$29.14B
23.4B32.B2AB9.A.A38.5B$29.15B21.4B34.3B9.A.A2.2A3.A29.7B$31.8B2.4B19.
4B34.B.B9.2A.2A2.A2.A.A26.9B$31.6B5.4B10.A6.4B35.5B8.B2.A.A3.A.A12.2A
11.11B$30.9B4.4B7.3A5.4B36.6B6.2ABA2.4A.A13.A13.13B$29.4B4.2A5.4B5.A
7.4B37.8B4.2A.A.A3.A12.BA.A13.14B$28.4B5.A7.4B4.2A5.4B4.2A3.2A28.13B
2.A.AB2.A9.B.B2A13.16B$27.4B7.3A5.9B4.4B5.2A2.A.3A24.13B5.A.A2B.A7.4B
14.17B$17.A8.4B10.A6.6B5.4B10.A4.A22.15B5.A2B.2A7.4B14.18B$15.5A5.4B
5.2A11.8B2.4B7.4A.2A2.A22.15B4.3B10.5B13.19B$14.A5.A4.4B5.A10.15B8.A
2.A.A.A.2A20.17B.B.2B11.6B12.20B$14.A2.3AB2.7B.BA.A10.14B11.BABABA.A
21.29B2.8B13.20B$13.2A.A.2B3.7B.B2A11.13B13.B2ABA.A20.13B2A26B10.23B$
13.A2.4A12B11.2AB.10B15.2B.BA20.14B2A25B11.24B$14.2A2.BA3B2A7B10.A.AB
3.B2A3B16.3B22.2AB3.27B.7B12.19B2.4B$16.3AB.2B2A7B10.A6.B2A3B7.2A6.4B
21.A2.A4.35B12.17B4.4B$16.A.B3.10B9.2A6.4B10.A6.B2A3B18.A.2A5.6B3.B2.
2B2.19B11.18B5.4B$13.2A.A8.8B17.3B10.A.AB3.B2A3B18.A7.6B14.17B8.20B6.
4B$13.2A.2A7.9B17.2B.BA8.2AB.10B15.2A6.9B14.15B.2B2.22B8.4B$26.3B2.4B
15.B2ABA.A9.13B21.4B4.2A15.41B9.4B$24.5B3.4B13.BABABA.A9.14B19.4B5.A
16.8B.30B12.4B$24.2A7.4B10.A2.A.A.A.2A8.15B10.A6.4B7.3A11.8B3.2B2A25B
14.4B$25.A8.4B9.4A.2A2.A11.8B2.4B7.3A5.4B10.A11.2A3.B5.2B2A25B15.4B$
22.3A10.4B12.A4.A11.6B5.4B5.A7.4B24.A10.28B16.4B$22.A13.4B7.2A2.A.3A
11.9B4.4B4.2A5.4B22.3A12.B.3B.4B4.13B17.4B$37.4B6.2A3.2A12.4B4.2A5.9B
4.4B23.A20.3B5.3B4.6B18.4B$38.4B23.4B5.A7.6B5.4B43.4B4.4B5.7B18.4B$
39.4B13.2A6.4B7.3A4.8B2.4B44.2A6.2A7.6B20.4B$40.4B13.A5.4B10.A2.15B
46.A7.A6.6B22.4B$41.4B12.A.AB.6B12.14B44.3A5.3A7.6B23.4B$42.4B12.2AB.
7B11.13B45.A7.A8.8B23.4B$43.4B13.10B8.2AB.10B64.6B25.4B$44.4B12.9B8.A
.AB3.B2A3B66.7B25.4B$.C43.4B11.9B.2B5.A6.B2A3B64.11B24.4B$2BC43.4B12.
9B2A3.2A6.4B64.B.2B2A9B23.4B$3CB43.4B11.9B2A12.3B63.2A3B2A9B24.4B$.4B
23.A19.4B11.7B.B14.2B.BA60.2A14B25.4B$2.4B22.3A12.B.3B.4B9.8B15.B2ABA
.A60.14B27.4B$3.4B24.A10.18B2.8B14.BABABA.A58.5B2.B2.2B.3B28.4B$4.4B
10.A11.2A3.B5.2B2A16B.8B12.A2.A.A.A.2A57.2A4.3B5.2A29.4B$5.4B7.3A11.
8B3.2B2A16B2.7B12.4A.2A2.A59.A4.B2AB4.A31.4B$6.4B5.A16.8B.20B.8B16.A
4.A56.3A6.2A6.3A29.4B$7.4B4.2A15.38B12.2A2.A.3A57.A18.A30.3B$2A6.9B
14.15B.2B2.20B11.2A3.2A110.2B$.A7.6B14.17B8.17B129.B$.A.2A5.6B3.B2.2B
2.19B11.15B$2.A2.A4.35B12.15B$3.2AB3.27B.7B12.16B$4.14B2A25B11.7B.7B$
5.13B2A26B8.2AB.3B4.4B.2B$6.29B2.8B8.A.AB9.7B$6.17B.B.2B11.6B8.A15.2A
.A$7.15B4.3B10.5B8.2A16.A.3A$7.15B5.A2B.2A7.4B24.A.A4.A$8.13B5.A.A2B.
A7.4B24.2A2.2A.A$10.13B2.A.AB2.A9.B.B2A27.A.A.2A$9.8B4.2A.A.A3.A12.BA
.A26.A.A.2A$9.6B6.2ABA2.4A.A13.A27.A$9.5B8.B2.A.A3.A.A12.2A$9.B.B9.2A
.2A2.A2.A.A$10.3B9.A.A2.2A3.A$9.B2AB9.A.A$10.2A11.A!

A simpler type of glider snatcher (but with less clearance) could probably be made from a single Hershel conduit. All that is needed is for it to create some smoke at its edge which is able to turn a glider,
and to have that turned glider be able to escape.

A single Herschel on it own has a small amount of suitable smoke, but it also has its stable leftovers which are a pain to clean up, especially a block which is right on the turned path.

x = 16, y = 47
o$boo$oo41$15bo$13b3o$13bobo$13bo!

I tried modifying a few components by removing their catalysts to hopefully create some smoke, but didn't find anything.

Smoke producing components could have lots of uses, so it would be worth looking for them and collecting them.

BCNU,
-dbell
dbell
 
Posts: 45
Joined: June 27th, 2013, 12:47 am

Re: The Hunting of the Elementary Conduits

Postby dvgrn » December 8th, 2017, 12:22 am

dbell wrote:Here is a circuit which can turn a glider from its path (if it is present), without having any components nearby or on the other side of the glider's path. This uses a guarded kick-back reaction where nothing escapes if the glider is not present.

If enough people try building the two synchronized gliders in the guarded kickback reaction, I bet eventually someone will come up with a reasonably compact piece of circuitry. Here's my first attempt, in two parts -- neither one exactly a success:

x = 359, y = 212, rule = LifeHistory
84.3B163.3B$83.5B161.5B$83.6B160.6B$82.3B.4B158.3B.4B$83.8B158.8B$83.
9B157.9B$82.6B.4B155.6B.4B$81.4B5.4B153.4B5.4B$80.4B7.4B151.4B7.4B$
79.4B9.4B149.4B9.4B$78.4B11.4B147.4B11.4B$77.4B13.4B145.4B13.4B$76.4B
15.4B143.4B15.4B$75.4B17.4B141.4B17.4B$74.4B19.4B139.4B19.4B$73.4B21.
4B137.4B21.4B$72.4B23.4B135.4B23.4B$71.4B25.4B133.4B25.4B$70.4B27.4B
131.4B27.4B$69.4B29.4B129.4B29.4B$68.4B31.4B127.7B28.4B$67.4B33.4B
126.9B27.4B$66.4B35.4B124.11B27.4B$65.4B37.4B120.13B29.4B$64.4B39.4B
118.14B30.4B$63.4B41.4B116.16B30.4B$62.4B43.4B115.17B30.4B$61.4B45.4B
113.18B31.4B$60.4B47.4B112.19B31.4B$59.4B49.4B110.20B19.A12.4B$58.4B
51.4B108.20B20.3A11.4B$57.4B53.4B108.21B21.A11.4B$56.4B55.4B107.21B
20.2A12.4B$55.4B57.4B108.19B20.B8.A5.4B$54.4B59.4B108.17B19.3B6.3A6.
4B$53.4B61.4B107.18B16.6B4.A10.4B$52.4B63.4B106.20B8.B2.10B3.2A10.4B$
51.4B65.4B106.22B2.2B.B.16B11.4B$50.4B67.4B105.18BD15B2A3BD3B14.4B$
49.4B69.4B106.14BDBD15B2A2B2D5B13.4B$48.4B71.4B106.13B3D18B2D6B14.4B$
47.4B73.4B105.13BD21BD6B15.4B$46.4B75.4B104.36BD7B14.4B$45.4B77.4B
103.13B4.4B.13B.9B14.4B$44.4B79.4B102.6B4.3B5.3B5.B.19B13.4B$43.4B81.
4B100.7B5.4B4.4B12.14B12.4B$42.4B83.4B100.6B7.2A6.2A11.15B13.4B$41.4B
85.4B100.6B6.A7.A12.14B15.4B$40.4B87.4B99.6B7.3A5.3A9.13B17.4B$39.4B
89.4B97.8B8.A7.A6.15B19.4B$38.4B91.4B97.6B17.A.AB2.15B21.4B$37.4B93.
4B95.7B18.2AB.17B21.4B$36.4B95.4B92.11B18.19B22.4B$35.4B97.4B89.9B2A
2B.B15.19B24.4B$34.4B99.4B88.9B2A3B2A15.20B2.2A19.4B$33.4B101.4B87.
14B2A13.2AB.16B2A.A.A20.4B$32.4B103.4B87.14B13.A.AB2.13B.B2ABA23.4B$
31.4B105.4B86.3B.2B2.B2.5B11.A6.11B4.B2.A23.4B$30.4B106.5B85.2A5.3B4.
2A10.2A7.11B2.2A.2A24.4B$29.4B108.5B85.A4.B2AB4.A17.14B3.A.A26.4B$28.
4B110.5B81.3A6.2A6.3A13.16B2.A.A27.4B$27.4B112.5B80.A18.A4.2A7.13B.B
2A.2A29.4B$26.4B114.5B102.A2.A2.2A2.13B.BA.A32.4B$25.4B116.5B102.2A2.
A.A2.B3D4B.2B6.A33.4B$24.4B118.5B103.2A.B3.2BD4B10.2A33.4B$23.4B120.
5B102.A2.2B2.2B3D2B46.4B$22.4B122.5B98.2A.A.BA2B.6B48.4B$21.4B124.5B
97.A.2A.A.A8B49.4B$20.4B126.5B100.A.A.8B50.4B$19.4B128.5B96.2A2.A4.5B
52.4B$18.4B130.5B93.3A.2A4.6B52.5B$17.4B132.5B91.A4.B6.6B52.5B$16.4B
134.5B91.3AB2AB3.7B53.5B$15.4B136.5B92.A.2AB.8B55.5B$14.4B138.5B95.
10B56.5B$13.4B140.5B94.6B2A3B56.5B$12.4B142.5B93.6B2A2B5.2A51.5B$11.
4B144.5B92.10B5.A53.5B$10.4B146.5B90.11B2.BA.A54.5B$9.7B145.5B89.12B.
B2A56.5B$9.9B145.4B87.15B59.5B$8.11B145.4B85.16B60.5B$5.13B147.4B81.
2B.16B61.5B$4.14B148.4B79.2A18B62.5B$3.16B148.4B78.2AB.17B62.5B$3.17B
145.7B78.B.4B.8B2.4B62.5B$2.18B143.9B85.7B4.4B62.5B$2.19B141.11B85.6B
5.4B62.5B$.20B19.A122.13B84.4B6.4B62.5B$20B20.3A120.14B85.3BA5.4B62.
5B$.21B21.A118.16B85.BA.A5.4B8.A53.5B$.21B20.2A117.17B86.AB.A5.4B5.5A
52.5B$3.19B20.B8.A109.18B86.A.A5.4B4.A5.A53.4B$4.17B19.3B6.3A108.19B
84.A.A.A.AB.7B2.B3A2.A54.4B$4.18B16.6B4.A91.A19.20B83.2A3.2AB.7B3.2B.
A.2A54.4B$4.20B8.B2.10B3.2A88.3A20.20B89.12B4A2.A55.4B$5.22B2.2B.B.
16B87.A21.21B90.7B2A3BAB2.2A57.4B$5.18BD15B2A3BD3B89.2A20.21B90.7B2A
2B.B3A57.7B$7.14BDBD15B2A2B2D5B79.A8.B20.19B92.10B3.B.A55.9B$8.13B3D
18B2D6B79.3A6.3B19.17B92.8B8.A.2A51.11B$8.13BD21BD6B82.A4.6B16.18B91.
9B7.2A.2A52.13B$8.36BD7B79.2A3.10B2.B8.20B90.4B2.3B65.14B$8.13B4.4B.
13B.9B78.16B.B.2B2.22B90.4B3.5B62.16B$8.6B4.3B5.3B5.B.19B78.3BD3B2A
15BD18B89.4B7.2A61.17B$7.7B5.4B4.4B12.14B74.5B2D2B2A15BDBD14B81.A8.4B
8.A62.18B$8.6B7.2A6.2A11.15B74.6B2D18B3D13B80.5A5.4B5.2A3.3A58.19B$9.
6B6.A7.A12.14B75.6BD21BD13B79.A5.A4.4B5.A6.A38.A19.20B$9.6B7.3A5.3A9.
13B74.7BD36B79.A2.3AB2.7B.BA.A43.3A20.20B$8.8B8.A7.A6.15B74.9B.13B.4B
4.13B78.2A.A.2B3.7B.B2A43.A21.21B$9.6B17.A.AB2.15B73.19B.B5.3B5.3B4.
6B78.A2.4A12B45.2A20.21B$8.7B18.2AB.17B70.14B12.4B4.4B5.7B78.2A2.BA3B
2A7B37.A8.B20.19B$6.11B18.19B70.15B11.2A6.2A7.6B81.3AB.2B2A7B37.3A6.
3B19.17B$4.9B2A2B.B15.19B72.14B12.A7.A6.6B82.A.B3.10B40.A4.6B16.18B$
4.9B2A3B2A15.20B2.2A67.13B9.3A5.3A7.6B79.2A.A8.8B38.2A3.10B2.B8.20B$
4.14B2A13.2AB.16B2A.A.A68.15B6.A7.A8.8B78.2A.2A7.9B37.16B.B.2B2.22B$
5.14B13.A.AB2.13B.B2ABA71.15B2.BA.A17.6B92.3B2.4B38.3BD3B2A15BD18B$5.
3B.2B2.B2.5B11.A6.11B4.B2.A69.17B.B2A18.7B89.5B3.4B35.5B2D2B2A15BDBD
14B$5.2A5.3B4.2A10.2A7.11B2.2A.2A69.19B18.11B87.2A7.4B34.6B2D18B3D13B
$6.A4.B2AB4.A17.14B3.A.A71.19B15.B.2B2A9B86.A8.4B8.A24.6BD21BD13B$3.
3A6.2A6.3A13.16B2.A.A65.2A2.20B15.2A3B2A9B83.3A3.2A5.4B5.5A20.7BD36B$
3.A18.A4.2A7.13B.B2A.2A66.A.A.2A16B.B2A13.2A14B83.A6.A5.4B4.A5.A18.9B
.13B.4B4.13B$26.A2.A2.2A2.13B.BA.A13.2A3.2A50.AB2AB.13B2.BA.A13.14B
91.A.AB.7B2.B3A2.A16.19B.B5.3B5.3B4.6B$27.2A2.A.A2.B3D4B.2B6.A11.3A.A
2.2A49.A2.B4.11B6.A11.5B2.B2.2B.3B92.2AB.7B3.2B.A.2A13.14B12.4B4.4B5.
7B$29.2A.B3.2BD4B10.2A9.A4.A53.2A.2A2.11B7.2A10.2A4.3B5.2A94.12B4A2.A
13.15B11.2A6.2A7.6B$29.A2.2B2.2B3D2B21.A2.2A.4A50.A.A3.14B17.A4.B2AB
4.A95.7B2A3BAB2.2A15.14B12.A7.A6.6B$26.2A.A.BA2B.6B21.2A.A.A.A2.A50.A
.A2.16B13.3A6.2A6.3A92.7B2A2B.B3A18.13B9.3A5.3A7.6B$26.A.2A.A.A8B22.A
.ABABAB53.2A.2AB.13B7.2A4.A18.A92.10B3.B.A19.15B6.A7.A8.8B$30.A.A.8B
22.A.AB2AB56.A.AB.13B2.2A2.A2.A114.8B8.A.2A17.15B2.BA.A17.6B$27.2A2.A
4.5B24.AB.2B57.A6.2B.4B3DB2.A.A2.2A114.9B7.2A.2A16.17B.B2A18.7B$25.3A
.2A4.6B27.3B55.2A10.4BD2B3.B.2A115.4B2.3B29.19B18.11B$24.A4.B6.6B26.
4B6.2A30.2A3.2A21.2B3D2B2.2B2.A114.4B3.5B28.19B15.B.2B2A9B$25.3AB2AB
3.7B24.3B2AB6.A31.2A2.A.3A20.6B.2BAB.A.2A110.4B7.2A22.2A2.20B15.2A3B
2A9B$27.A.2AB.8B25.3B2AB3.BA.A35.A4.A19.8BA.A.2A.A100.A8.4B8.A23.A.A.
2A16B.B2A13.2A14B$31.10B23.10B.B2A32.4A.2A2.A19.8B.A.A102.5A5.4B5.2A
3.3A22.AB2AB.13B2.BA.A13.14B$31.6B2A3B21.13B34.A2.A.A.A.2A19.5B4.A2.
2A98.A5.A4.4B5.A6.A21.A2.B4.11B6.A11.5B2.B2.2B.3B$31.6B2A2B5.2A14.14B
36.BABABA.A20.6B4.2A.3A96.A2.3AB2.7B.BA.A28.2A.2A2.11B7.2A10.2A4.3B5.
2A$31.10B5.A2.A11.15B37.B2ABA.A19.6B6.B4.A94.2A.A.2B3.7B.B2A30.A.A3.
14B17.A4.B2AB4.A$30.11B2.BA.A.2A10.4B2.8B40.2B.BA20.7B3.B2AB3A95.A2.
4A12B32.A.A2.16B13.3A6.2A6.3A$30.12B.B2A.A11.4B5.6B39.3B24.8B.B2A.A
98.2A2.BA3B2A7B33.2A.2AB.13B7.2A4.A18.A$29.15B3.A10.4B4.9B29.2A6.4B
24.10B104.3AB.2B2A7B35.A.AB.13B2.2A2.A2.A$28.16B3.3A7.4B5.2A4.4B29.A
6.B2A3B21.3B2A6B104.A.B3.10B35.A6.2B.4B3DB2.A.A2.2A$25.2B.16B6.A5.4B
7.A5.4B28.A.AB3.B2A3B15.2A5.2B2A6B101.2A.A8.8B33.2A10.4BD2B3.B.2A$24.
2A18B5.2A4.4B5.3A7.4B28.2AB.10B11.A2.A5.10B101.2A.2A7.9B44.2B3D2B2.2B
2.A$24.2AB.17B4.9B6.A10.4B29.13B10.2A.A.AB2.11B113.3B2.4B44.6B.2BAB.A
.2A$25.B.4B.8B2.4B5.6B19.4B28.14B11.A.2AB.12B111.5B3.4B43.8BA.A.2A.A$
32.7B4.4B2.8B20.4B27.15B10.A3.15B110.2A7.4B42.8B.A.A$33.6B5.15B19.4B
28.8B2.4B7.3A3.16B110.A8.4B8.A33.5B4.A2.2A$35.4B6.14B20.4B27.6B5.4B5.
A6.16B.2B104.3A3.2A5.4B5.5A31.6B4.2A.3A$37.3BA5.13B21.4B25.9B4.4B4.2A
5.18B2A103.A6.A5.4B4.A5.A29.6B6.B4.A$38.BA.A5.10B.B2A20.4B23.4B4.2A5.
9B4.17B.B2A110.A.AB.7B2.B3A2.A29.7B3.B2AB3A$39.A.A6.4B2AB3.BA.A20.4B
13.2A6.4B5.A7.6B5.4B2.8B.4B.B112.2AB.7B3.2B.A.2A29.8B.B2A.A$40.A7.4B
2AB6.A21.4B13.A5.4B7.3A4.8B2.4B4.7B121.12B4A2.A29.10B$41.3A7.4B6.2A
21.4B12.A.AB.6B8.A2.15B5.6B122.7B2A3BAB2.2A29.3B2A6B$43.A7.3B31.4B12.
2A9B10.14B6.4B124.7B2A2B.B3A25.2A5.2B2A6B$48.AB.2B33.4B13.10B9.13B5.A
3B126.10B3.B.A26.A5.10B$47.A.AB2AB22.A10.4B11.10B8.2AB.10B5.A.AB126.
8B8.A.2A23.A.AB2.11B$47.A.ABABAB19.3A11.4B11.9B.2B4.A.AB3.B2A4B6.A.A
126.9B7.2A.2A24.2AB.12B$44.2A.A.A.A.A2.A.A14.A15.4B10.B.9B2A3.A6.B2A
4B7.A126.4B2.3B39.15B$44.A2.A2.2A.4A.3A12.2A15.4B11.9B2A2.2A6.4B7.3A
126.4B3.5B37.16B$46.2A4.A8.A7.2B.3B3.7B.B4.4B11.7B.B12.3B7.A127.4B7.
2A37.16B.2B$52.A.A5.2A6.5B5.13B.12B.8B15.2B.BA122.A8.4B8.A38.18B2A$
53.2A5.5B2.9BD27B.8B14.B2ABA.A119.5A5.4B5.2A3.3A34.17B.B2A$62.15BD21B
D4B.8B13.BABABA.A118.A5.A4.4B5.A6.A33.4B2.8B.4B.B$61.2A14B2D18B3D4B2.
7B11.A2.A.A.A.2A117.A2.3AB2.7B.BA.A39.4B4.7B$61.2A13B2D2B2A15BDBD4B.
8B11.4A.2A2.A117.2A.A.2B3.7B.B2A39.4B5.6B$62.B.12BD3B2A15BD15B15.A4.A
117.A2.4A12B40.4B6.4B$64.25B.2B.21B10.2A2.A.3A119.2A2.BA3B2A7B39.4B5.
A3B$65.9B2.10B7.21B10.2A3.2A123.3AB.2B2A7B38.4B5.A.AB$66.8B3.6B10.21B
140.A.B3.10B37.4B6.A.A$67.7B4.3B19.15B136.2A.A8.8B35.4B8.A$64.11B3.B
20.16B136.2A.2A7.9B33.4B6.3A$63.12B2.2A20.7B.7B150.3B2.4B31.4B7.A$54.
2A7.12B2.A19.2AB.3B4.4B.2B147.5B3.4B29.4B$53.A2.A2.2A2.11B4.3A15.A.AB
9.7B146.2A7.4B27.4B$54.2A2.A.A2.8B.4B4.A15.A15.2A.A147.A8.4B25.4B$56.
2A.B3.7B4.2A19.2A16.A.3A142.3A10.4B23.4B$56.A2.2B2.7B4.A36.A.A4.A141.
A13.4B13.2A6.4B$53.2A.A.BA2B.6B6.3A33.2A2.2A.A156.4B13.A5.4B$53.A.2A.
A.A8B8.A38.A.A.2A154.4B12.A.AB.6B$57.A.A.8B47.A.A.2A155.4B12.2A9B$54.
2A2.A4.5B49.A160.4B13.10B$52.3A.2A4.6B211.4B11.10B$51.A4.B6.6B167.C
43.4B11.9B.2B$52.3AB2AB3.7B166.2BC43.4B12.9B2A$54.A.2AB.8B167.3CB43.
4B11.9B2A$58.10B168.4B23.A19.4B11.7B.B$58.6B2A3B168.4B22.3A12.B.3B.
12B.8B$58.6B2A2B5.2A163.4B24.A10.19B.8B$58.10B5.A165.4B10.A11.2A3.B5.
2B2A16B.8B$57.11B2.BA.A166.4B7.3A11.8B3.2B2A16B2.7B$57.12B.B2A168.4B
5.A16.8B.20B.8B$56.15B171.4B4.2A15.38B$55.16B164.2A6.9B14.15B.2B.21B$
52.2B.16B165.A7.6B14.17B4.21B$51.2A18B165.A.2A5.6B3.B2.2B2.19B5.21B$
51.2AB.17B165.A2.A4.35B12.15B$52.B.4B.8B2.4B165.2AB3.27B.7B12.16B$59.
7B4.4B165.14B2A25B11.7B.7B$60.6B5.4B165.13B2A26B8.2AB.3B4.4B.2B$62.4B
6.4B165.29B2.8B8.A.AB9.7B$64.3BA5.4B164.17B.B.2B11.6B8.A15.2A.A$65.BA
.A5.4B164.15B4.3B10.5B8.2A16.A.3A$66.A.A6.4B163.15B5.A2B.2A7.4B24.A.A
4.A$67.A8.2B2C163.13B5.A.A2B.A7.4B24.2A2.2A.A$68.3A6.BCBC164.13B2.A.A
B2.A9.B.B2A27.A.A.2A$70.A7.CB164.8B4.2A.A.A3.A12.BA.A26.A.A.2A$244.6B
6.2ABA2.4A.A13.A27.A$244.5B8.B2.A.A3.A.A12.2A$244.B.B9.2A.2A2.A2.A.A$
245.3B9.A.A2.2A3.A$244.B2AB9.A.A$245.2A11.A!

It's really too bad that a Fx119 inserter can't follow a syringe directly.

EDIT: Here's a geometry that seems better for this kind of synchronization. It allows any +/-8N adjustment to be made -- no need to add extra Snarks on one side, or trombone slides on both sides, when the timings of the two branches are close together as in the above case:

x = 299, y = 372, rule = B3/S23
296bo$296bobo$296b2o275$89b2o$88bo2bo$89b2o13$44bo80b2o21b2o$42b3o81bo
21bo$41bo84bobo17bobo$41b2o84b2o17b2o$103bo28bo$101b3o27bobo$100bo30bo
bo$63bo20b2o14b2o30bo$63b3o18b2o$66bo$65b2o$80b2o$80bo$77b2obo$76bo2bo
$77b2o63b2o$62b2o58b2o18bo$62b2o57bobo16bobo$121bo18b2o$120b2o$83b2o$
49b2o3bo27bobo40bob2o$49bo3bobo26bo40b3ob2o$18b2o6b2o22bo3bobo24b2o39b
o$18bo7bo5b2o17bo3bobob2o62b3ob2o$19b3o5b3obobo15bob4o2bob2o64bobo$21b
o7bobo7b2o7bobo3bobo68bobo$30b2o7b2o7bobo2bo2b2ob2o65bo$49bo3b2o2bobo
89b2o$57bobo10b2o3bo68b2o2bo2bo$10b2o46bo11b2o3b3o51b2o13bobo2b2o$10b
2o3b2o61bo49bobo16b2o$15b2o60b2o14b2o33bo19bo$93b2o32b2o16bo2bob2o$
144bobob2obo$2b2o12b2o127bobo$3bo5b2o5bo129bo2b2o$3o6b2o6b3o127b2ob3o$
o18bo133bo$147b2ob3o$147b2obo2$139b2o$74b2o54b2o7b2o$73bo2bo2b2o47bo2b
o$74b2o2bobo13b2o32b2obobo$76b2o16bobo33bob2o$76bo19bo33bo$73b2obo2bo
16b2o30b3o$73bob2obobo46bo$77bobo47b2o23b2o$74b2o2bo73b2o$72b3ob2o$71b
o$72b3ob2o$74bob2o$137bo$84b2o31b2o17bobo$84b2o7b2o21bobo5b2o10bobo$
93bo22bo7b2o11bo$91bobo21b2o17b3o$91b2o41bo$129bo$125b2obobo$124bobobo
bo$71b2o48bo2bobobob2o$71b2o48b4ob2o2bo$125bo4bo$121b2o2bob3o$121b2o3b
2o2$87bo$86bobo$86bobo$87bo$88b3o$90bo$100b3o$100bo$101bo!

This basic idea works even better when high-clearance Fx119 inserters aren't needed on either branch:

x = 100, y = 141, rule = LifeHistory
34.D.D$34.2D$35.D$38.3D$38.D$39.D$27.2D$26.D.D$28.D7$27.2A$26.A2.A$
27.A.A$26.2A2.2A$28.2A2.A$26.2A3.2A$27.A$26.A$27.3A$29.A5$18.D$11.2A
4.3D$11.2A3.2D2.D3$26.2A$25.A.A$25.A$24.2A4$5.2A$6.A$6.A.A$7.2A15.2A$
24.2A3$7.2A62.2A21.2A$6.A.A42.2A19.A21.A$6.A43.A2.A18.A.A17.A.A$5.2A
44.2A20.2A17.2A$78.A$77.A.A$3.2A72.A.A$2.A2.A2.2A68.A$3.2A2.A.A$5.2A
16.2A$5.A17.A$2.2A.A2.A15.3A19.3D$2.A.2A.A.A16.A20.D$6.A.A38.3D$3.2A
2.A$.3A.2A81.2A$A67.2A18.A$.3A.2A60.A.A16.A.A$3.A.2A60.A18.2A$66.2A$
13.2A50.A$13.2A7.2A39.3A5.A.2A$22.A2.A36.A6.3A.2A$20.A.A.2A20.2A14.2A
4.A$20.2A.A22.2A21.3A.2A$23.A47.A.A$23.3A45.A.A$26.A45.A$2A23.2A68.2A
$2A88.2A2.A2.A$75.2A7.3D3.A.A2.2A$74.A.A8.D7.2A$74.A8.3D8.A$73.2A16.A
2.A.2A$16.A73.A.A.2A.A$15.A.A17.2A54.A.A$15.A.A10.2A5.A.A7.2A7.3D35.A
2.2A$16.A11.2A7.A6.A.A8.D37.2A.3A$17.3A17.2A5.A8.3D43.A$19.A23.2A48.
2A.3A$24.A68.2A.A$23.A.A.2A$23.A.A.A.A55.2A$22.2A.A.A.A2.A43.2A7.2A$
23.A2.2A.4A41.A2.A$23.A4.A8.A36.2A.A.A$24.3A.A2.2A4.3A36.A.2A$26.2A3.
2A7.A35.A$39.2A14.2A17.3A$55.2A16.A$73.2A23.2A$98.2A5$83.A$63.2A17.A.
A$62.A.A5.2A10.A.A$36.2A24.A7.2A11.A$35.A2.A2.2A18.2A17.3A$36.2A2.A.A
3.3D7.2A22.A$38.2A7.D8.A.A16.A$38.A8.3D8.A12.2A.A.A$35.2A.A2.A16.2A
10.A.A.A.A$35.A.2A.A.A24.A2.A.A.A.2A$39.A.A25.4A.2A2.A$36.2A2.A30.A4.
A$34.3A.2A27.2A2.A.3A$33.A33.2A3.2A$34.3A.2A$36.A.2A2$46.2A$46.2A7.2A
$55.A$53.A.A$53.2A4$33.2A$33.2A5$49.A6.3A$48.A.A5.A$48.A.A6.A$49.A$
50.3A$52.A!

It might be worth collecting H-to-2G splitters with this NW and SW output geometry, for all sixteen output classes. In cases where simple NW31 edge shooters are sufficient -- which in the above case they aren't -- the resulting synchronizer mechanism would be fairly compact. Here's a non-functional sample that could be easily adjusted to allow a Herschel input, but there's no point:

x = 126, y = 105, rule = LifeHistory
79.D.D$79.2D$80.D$83.3D$83.D$84.D$72.2D$71.D.D$73.D22$68.2A3.2A$68.2A
2.A.3A$72.A4.A$68.4A.2A2.A$68.A2.A.A.A.2A$71.A.A.A.A$72.2A.A.A$76.A2$
62.2A$63.A7.2A$63.A.A5.2A$64.2A$101.2A$102.A$102.A.A$92.A10.2A$62.A
27.3A$54.A6.A.A25.A$54.3A5.A11.2A13.2A$50.2A5.A16.A49.2A$51.A4.2A17.
3A46.2A$51.A.A24.A$52.2A21.2A2.A23.D$74.A2.2A24.D.D$74.2A16.2A9.3D$
92.2A11.D$48.2A$49.A22.2A$49.A.A20.A.A$50.2A22.A26.A3.2A$74.2A24.A.A
3.A$99.A.A3.A$63.2A30.2A.A.A3.A$63.A.A29.2A.A2.4A.A$65.A33.A.A3.A.A6.
2A$65.2A28.2A.2A2.A2.A.A6.2A$96.A.A2.2A3.A$84.2A10.A.A$84.2A11.A3$51.
3C7.2A$52.C8.A.A$52.3C8.A$63.2A3$23.2A$23.A$21.A.A$21.2A10.A$33.3A$
36.A$35.2A$2A48.2A$2A48.A$47.2A.A$22.D23.A2.A$20.D.D24.2A$20.3D9.2A$
20.D11.2A4$19.2A3.A$19.A3.A.A$20.A3.A.A$21.A3.A.A.2A$19.A.4A2.A.2A$
10.2A6.A.A3.A.A$10.2A6.A.A2.A2.2A.2A$19.A3.2A2.A.A$27.A.A10.2A$28.A
11.2A!
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Re: The Hunting of the Elementary Conduits

Postby simeks » December 22nd, 2017, 6:55 am

New H-to-R (HF73R). Allows for example this Fx160:

x = 65, y = 97, rule = LifeHistory
19.2C$19.2C$23.C$19.5C$18.C$19.C.3C$20.2C2.C$2C21.2C$.C13.2C$.C.C11.
2C2.2C$2.2C15.2C7$2.E$2.E.E$2.3E11.D$4.E11.2D$15.2D4$7.C2.C.2C$7.4C.C
$12.C.C$9.2C2.2C$9.C$10.C$9.2C33$19.2C$19.2C$23.C$19.5C$18.C$19.C.3C$
20.2C2.C$2C21.2C$.C13.2C$.C.C11.2C2.2C$2.2C15.2C7$2.E$2.E.E$2.3E11.D
10.D$4.E11.2D10.D21.D$15.2D11.2D18.3D$27.2D2.2A15.D.D12.A$27.D3.2A15.
D13.A.A$63.2A$7.C2.C.2C$7.4C.C7.A42.2A$12.C.C4.A.A40.A.A$9.2C2.2C4.2A
42.A$9.C18.2A$10.C17.A$9.2C19.A$29.2A!
Last edited by simeks on December 22nd, 2017, 8:49 am, edited 1 time in total.
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Re: The Hunting of the Elementary Conduits

Postby Kazyan » December 22nd, 2017, 8:45 am

A really small periodic Pi-to-G, shown with p4 through p7 variants. Given a sufficiently ambitious sparker, it looks like it could work at p3.

x = 23, y = 97, rule = B3/S23
3b2o7b2o$3bo2b2ob2o2bo$4b2obobob2o$5bo5bo$5bo5bo$6b5o$7b3o$7bobo$7b3o$
7b3o$3o5bo$2bo$3o$5b2o$5bobo$7bo$7b2o8$8bo2b2o$8b2o2bo$7b5o3$7b5o$3o5b
2o2bo$2bo5bo2b2o$3o$5b2o$5bobo$7bo$7b2o7$8b3o$8bob3o$7b2o4bo$10b4o$7b
2obo$7b2o2b3o$8b2obo2bo$11bob2o$10b2o$11bo$9b2o$8bo$8b3o$7bo3bob2o$7bo
bobob2o$7b2o2bo$10b2o$3o$2bo$3o$5b2o$5bobo$7bo$7b2o10$9b2o$10bo2bo2bo
4b2o$8bo4b6o2bo$4b2obob4o6bobo$5bobobo4b5o2b2o$5bobo2bobobobo2bobo$b2o
b2ob2obo5bob2obo$bo4b2o3b4obobo2b2o$2b3o3b3o4b2obobo$4bobobo2b3o3bo2bo
$5b3o3bo2b3o3b2o$6bo7bo3$3o$2bo$3o$5b2o$5bobo$7bo$7b2o!
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Re: The Hunting of the Elementary Conduits

Postby simeks » December 26th, 2017, 8:03 pm

Teardrop-to-LOM converter.
Hard to guess if it will ever be useful, but it's surprisingly unobtrusive, so who knows:

x = 13, y = 14, rule = LifeHistory
11.2C$11.C$9.C.C$5.C3.2C$4.C.C$2C3.C$2C4$6.3A$5.A2.A$5.A2.A$6.2A!
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Re: The Hunting of the Elementary Conduits

Postby Extrementhusiast » December 26th, 2017, 10:33 pm

simeks wrote:Teardrop-to-LOM converter.
Hard to guess if it will ever be useful, but it's surprisingly unobtrusive, so who knows:

RLE


Only real use that I can see for a teardrop by itself is to kill half of the resulting LOM with the pi reflector catalyst, leaving an R-mango:
x = 26, y = 19, rule = LifeHistory
20.2A$20.A$18.A.A$14.A3.2A$13.A.A$4.A4.2A3.A$3.A.A3.2A$3.A.A$2.2A.2A$
.A2.A2.A$A.A.A.A.A6.3C$.A.A.A.A6.CD.C$3.A.A8.CD.C$2.A2.A9.2CD4.2D$3.
2A16.D2.D$22.D2.D$23.3D$4.2A$4.2A!

However, with the tendency of the R-mango to head to the west (in this orientation), combined with the height of the pi reflector catalyst, the ideal direction for the teardrop to come in would be from the southeast, but that makes it very difficult to place many R-mango catalysts that don't interfere with the teardrop's entry. I feel that a more likely use of this would be as a catalysis within a larger reaction.
I Like My Heisenburps! (and others)
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Re: The Hunting of the Elementary Conduits

Postby simeks » December 30th, 2017, 5:40 pm

Inspired by Rhombic's question, i found this new H-to-C, and this C-to-G that must be known but isn't listed in the current collection. Neither seem to fit much else, but they work together for... yet another H-to-G7!

x = 41, y = 66, rule = LifeHistory
.3D2.D3.D.5D.5D3.D4.3D2.5D$D3.D.D3.D.D7.D4.2D3.D3.D.D$D5.D3.D.D7.D5.D
3.D2.2D.D$.3D2.D.D.D2.3D4.D5.D3.D.D.D2.3D$4.D.D.D.D5.D3.D5.D3.2D2.D5.
D$D3.D.2D.2D.D3.D3.D5.D3.D3.D.D3.D$.3D2.D3.D2.3D4.D4.3D3.3D3.3D4$.3D
2.D3.D8.3D2.5D2.3D4.D$D3.D.D3.D7.D3.D3.D3.D3.D2.2D$D5.D3.D11.D3.D7.D
3.D$.3D2.D.D.D.5D4.D4.D6.D4.D$4.D.D.D.D9.D5.D5.D5.D$D3.D.2D.2D8.D6.D
4.D6.D$.3D2.D3.D7.5D3.D3.5D2.3D16$24.2A$24.A2.2A$16.2A7.2A.3A$17.A8.B
4.A$8.A8.A.AB3.B2AB3A$8.3A7.2AB.B.B2A.A$11.A8.B3D2B$10.2A3.B3.2BDBDB$
10.8B.BD2BDB6.A$12.8B2D3B4.3A$12.15B.A$11.17B.A$9.19B2A$7.20BA$7.2BC
14B.2B5A$6.3BCBC12B.2B4.A$7.2B3C12B3.2A$6.5BC12B4.A$5.11B.3BA2B5.A.A$
4.4B3.4B2.2BABAB6.2A$3.4B3.4B5.2AB$2.4B3.4B7.4B$.4B3.4B10.2A$4B3.4B
11.A$3B3.4B13.3A$2B3.4B16.A$B3.4B$3.4B$2.4B$.4B$4B$3B$2B$B!
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Re: The Hunting of the Elementary Conduits

Postby simeks » January 21st, 2018, 9:26 am

I can't figure out why I haven't seen this version of Conduit 1 with a shillelagh before. It's sometimes more compact than the standard version:

x = 25, y = 13, rule = LifeHistory
2C$C2.2C$.2C.C6$.E3.2C15.D$.2E2.2C15.D.D$2.2E18.3D$2.E21.D$.E!
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Re: The Hunting of the Elementary Conduits

Postby M. I. Wright » January 21st, 2018, 12:42 pm

It's been known, just never commonly:
dvgrn wrote:[ . . . ] the above substitution is not too well known, I guess, but it has been around a while. Stephen Silver mentioned it back in 2000, for example, and very occasionally it allows a Herschel circuit to fit in very close quarters; the shillelagh doesn't stick out as far as a snake / aircraft carrier / reversed eater / hat or what have you.
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Re: The Hunting of the Elementary Conduits

Postby Scorbie » January 28th, 2018, 1:21 am

Kazyan wrote:A really small periodic Pi-to-G, shown with p4 through p7 variants. Given a sufficiently ambitious sparker, it looks like it could work at p3.

x = 23, y = 97, rule = B3/S23
3b2o7b2o$3bo2b2ob2o2bo$4b2obobob2o$5bo5bo$5bo5bo$6b5o$7b3o$7bobo$7b3o$
7b3o$3o5bo$2bo$3o$5b2o$5bobo$7bo$7b2o8$8bo2b2o$8b2o2bo$7b5o3$7b5o$3o5b
2o2bo$2bo5bo2b2o$3o$5b2o$5bobo$7bo$7b2o7$8b3o$8bob3o$7b2o4bo$10b4o$7b
2obo$7b2o2b3o$8b2obo2bo$11bob2o$10b2o$11bo$9b2o$8bo$8b3o$7bo3bob2o$7bo
bobob2o$7b2o2bo$10b2o$3o$2bo$3o$5b2o$5bobo$7bo$7b2o10$9b2o$10bo2bo2bo
4b2o$8bo4b6o2bo$4b2obob4o6bobo$5bobobo4b5o2b2o$5bobo2bobobobo2bobo$b2o
b2ob2obo5bob2obo$bo4b2o3b4obobo2b2o$2b3o3b3o4b2obobo$4bobobo2b3o3bo2bo
$5b3o3bo2b3o3b2o$6bo7bo3$3o$2bo$3o$5b2o$5bobo$7bo$7b2o!

There is another mechanism for this periodic Pi-to-G, which does work in p3. The sparker is ambitious indeed (source: jslife)
x = 78, y = 160, rule = B3/S23
6bo3$b3o$3bo$b3o$6b2o$6bobo$8bo$8b2o7$8b2ob2ob2o$3b2o2bobobob2obob2o$
2bob4obobo4bob2o$2bo6bo3b2obo$2ob2ob3o3bobo2b3o$bobobo8bo5bo$o2bobob2o
bobo2b3ob2o$ob4ob2o2b2o4bobo$bo4b3o3b3obo3bo$2b4obo5bo4b3o$4bobo2b2o3b
o$8bobo6b4o$6b4o2b3obo3bo$6b3o2b4obob2o$7b2obobo3bobo$11bob3o2bo$10b2o
bo2bob2o$b3o7bob4o2bo$3bo7bobo3b2o$b3o8bo2b2o$6b2o5b2obo$6bobo$8bo$8b
2o18$7bobo$6bo$7bo2bo$7bobobo$8bo2bo$9b2o$b3o$3bo$b3o$6b2o$6bobo$8bo$
8b2o14$8b2o$8bo$10bo$6b4obo$5bo4bo$5bo2b2o$9bo$6bo3b2o$8b2ob3o$9bo4bo$
b3o5bob3o$3bo6b2o$b3o$6b2o$6bobo$8bo$8b2o13$40b2o$40b2o$9b2o$11bob2o
26bo$7bo2bo2b2o25bobo$7bobo25b2o2bo2bo$8bo26b2obo$39b2o$8b2o$8b2o2$b3o
27b3o$3bo29bo$b3o27b3o$6b2o28b2o$6bobo27bobo$8bo29bo$8b2o28b2o9$9bo$8b
obo$b2o2b3obo$b2o3b2ob2o$8bo2bo53b2o$7b4o28bo25bo$38bobo25bo$7b4o21bob
2obo2bo22b4o$8bo2bo20b2obobobob2o19bo4b2o$b2o3b2ob2o25b2obobobo19b3obo
bob2o$b2o2b3obo27bobo3bo21b3obob2o$8bobo27bo2bob2o23b2o$9bo28b2obobo
26b3o$42bo2bo24bo2bo$39b2obob2o25b3o$b3o27b3o6bobo18b3o7bo2b2obo$3bo
29bo6bobo20bo7b2obob2o$b3o27b3o7bo19b3o8bobo$6b2o28b2o28b2o4bobo$6bobo
27bobo27bobo4bo$8bo29bo29bo$8b2o28b2o28b2o!

P.S.
x = 9, y = 13, rule = B3/S23
6bo$4b2o$6b2o$5bo3$3o$2bo$3o$5b2o$5bobo$7bo$7b2o!


Edit: Okay, drastically reduced the p3 version:
x = 14, y = 15, rule = B3/S23
4bobo$4bobo$4b3o2$11b2o$2b2o6bobo$3bo5b3o$3o6b2o$o4bo$4bob2obo2bo$4bo
3b5o$5bo2bo$2b3o5b2obo$2bo5bobob2o$8b2o!
Best wishes to you, Scorbie
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Re: The Hunting of the Elementary Conduits

Postby AbhpzTa » March 23rd, 2018, 5:13 pm

HNE15T22(90):
x = 35, y = 32, rule = LifeHistory
23.2A7.3B$23.A7.4B$20.2A.A6.4B$20.A.A6.4B$21.B6.4B$20.3B4.4B$18.5B3.
4B$12.B4.7B.4B$11.3B3.11B$9.6B2.10B$3.4B2.7B.10B$.A26B$2B2AD25B$3BACB
D25B$4BDCDB2A22B$5ABDB2A21B$3BA28B$5.26B$7.B2.18B$9.19B6.A$8.20B4.3A$
8.8B2.10B3.A$6.2EB2.5B2.11BA2.A$5.E.EB2.4B4.10B3A.A$5.E13.7B2.B4.A$4.
2E15.5B3.2A.A$24.3B3.A.2A$24.2A.A2.A$20.2A3.A.4A$20.A2.A.A$22.2A.A.2A
$26.A.A!



HF123B:
x = 35, y = 37, rule = LifeHistory
11.2A.A$11.A.2A2$12.5A$7.2A2.A4.A12.2A$7.A2.A.BAB14.A$8.A.A.2AB11.BA.
A$7.2A.A.4BA9.B2A$10.A3.BABA6.3B$10.2A2.A2BA3.6B$15.2A10B$17.8B$12.B
4.8B$11.3B3.10BD$9.6B2.11BD$3.4B2.7B.11B2D$.A25B2D$2B2AD22BD2B$3BACBD
25B$4BDCDB2A22B$5ABDB2A21B$3BA28B$5.26B$7.B2.18B$9.19B6.A$8.20B4.3A$
7.9B2.10B3.A$6.4B.5B2.11BA2.A$5.4B2.4B4.10B3A.A$4.4B11.7B2.B4.A$3.4B
14.5B3.2A.A$2.4B18.3B3.A.2A$.4B19.2A.A2.A$4B16.2A3.A.4A$3B17.A2.A.A$
2B20.2A.A.2A$B25.A.A!

This can be followed by BBx187H (recovery time 345)(also p180-198):
x = 62, y = 61, rule = LifeHistory
42.2B2.2B2.B$40.D11B$38.DBD12B2.B$37.B3D9B2EB.B2E$38.D11B2E3B2E$40.
14B.B$42.4B.7B$43.4B.7B$44.12B$45.11B$46.9B.3B$47.12B$44.2B.11B2E$43.
2E13B2E$43.2EB.10B.B$44.B2.10B$47.9B$46.10B$45.11B$44.11B$43.13B$42.
15B$41.19B$11.2A.A25.19B2E$11.A.2A24.4B.15B2E$38.4B.17B$12.5A20.19B$
7.2A2.A4.A12.2A5.19B$7.A2.A.BAB14.A5.20B$8.A.A.2AB11.BA.A4.20B$7.2A.A
.4BA9.B2A4.24B$10.A3.BABA6.3B5.4B.20B$10.2A2.A2BA3.6B4.4B3.20B$15.2A
10B3.4B3.22B$17.8B4.4B2.24B$12.B4.8B3.30B$11.3B3.10BD21B.10B$9.6B2.
11BD13B.7B2.2B4.2E$3.4B2.7B.11B2D12B2.3B.B4.B4.E$.A25B2D13B4.2B2E3.2E
4.3E$2B2AD22BD13B4.BE2.E4.E6.E$3BACBD27B12.3E4.E$4BDCDB2A23B20.2E$5AB
DB2A22B14.2E.E$3BA28B14.E.2E$5.26B$7.B2.19B$9.19B6.A$8.20B4.3A$7.9B2.
10B3.A$6.4B.5B2.11BA2.A$5.4B2.4B4.10B3A.A$4.4B11.7B2.B4.A$3.4B11.8B3.
2A.A$2.4B11.4B3.3B3.A.2A$.4B11.4B4.2A.A2.A$4B11.4B6.A.4A$3B11.4B5.A.A
$2B11.4B5.A.A2.2A$B11.4B6.A2.2A.A$11.4B6.2A!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: The Hunting of the Elementary Conduits

Postby calcyman » March 23rd, 2018, 6:16 pm

It can also be followed by a rectifier B-to-H, unless I'm mistaken.
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Re: The Hunting of the Elementary Conduits

Postby dvgrn » March 23rd, 2018, 7:01 pm

calcyman wrote:It can also be followed by a rectifier B-to-H, unless I'm mistaken.

Yup, that can be made to work, with the usual annoying TWIT slowing things down. Or a sidesnagger would work, but that would be even bigger.

x = 146, y = 76, rule = LifeHistory
125.A$123.3A$78.2A.A28.A11.A$78.A.2A28.3A9.2A$113.A9.B$79.5A16.2A10.
2A9.3B$74.2A2.A4.A12.2A3.A10.5B5.6B$74.A2.A.BAB14.A4.A.AB9.4B3.10B10.
4B$75.A.A.2AB11.BA.A5.2AB.3B4.6B2.11B3.2B2.7B$74.2A.A.4BA9.B2A8.7B.9B
D3B2A15BD3B$54.A22.A3.BABA6.3B10.17B2D2B2A15BDBDB$52.3A22.2A2.A2BA3.
6B11.17B2D18B3DB$4B35.A11.A30.2A10B10.18BD21BDB$.3BA34.3A9.2A31.8B10.
19BD24B$2.3BA36.A9.B26.B4.8B3.23B.B3.10B$3.3AB22.2A10.2A9.3B23.3B3.
10BD7BD13B7.7B.B$4.4B22.A10.5B5.6B19.6B2.11BD6BDBD4B.6B$5.4B21.A.AB9.
4B3.10B10.4B2.7B.11B2D5B3D4B2.B.5B$6.4B10.A10.2AB.3B4.6B2.11B3.2B2.
26B2D8BD4B7.2A$7.4B7.3A12.7B.9BD3B2A15BD22BD13B8.A$8.4B5.A15.17B2D2B
2A15BDBD27B16.3A$9.4B4.2A15.17B2D18B3DB2A23B19.A$2.2A6.9B14.18BD21BDB
2A22B$3.A7.6B14.19BD48B$3.A.2A5.6B3.B2.2B2.19B.B3.13B.B5.26B$4.A2.A4.
19BD13B7.7B15.B2.19B$5.2AB3.20BDBD4B.6B24.2A5.19B6.A$6.14B2A9B3D4B2.B
.5B21.B2AB3.20B4.3A$7.13B2A11BD4B7.2A22.2B3.10B.10B3.A$8.29B8.A22.2B
3.10B2.11BA2.A$8.17B.B.2B16.3A18.BA2B.10B4.10B3A.A$9.15B4.3B17.A18.A.
A11B5.7B2.B4.A$9.15B5.A2B.2A33.A.10B5.8B3.2A.A$10.13B5.A.A2B.A30.3A4.
5B14.3B3.A.2A$12.13B2.A.AB2.A31.A6.4B15.2A.A2.A$11.8B4.2A.A.A3.A28.A
5.4B2.4B5.4B6.A.4A$11.6B6.2ABA2.4A.A26.3A2.4B2.4B5.4B5.A.A$11.5B8.B2.
A.A3.A.A28.A4B2.4B5.4B5.A.A2.2A$11.B.B9.2A.2A2.A2.A.A27.2A3B2.4B5.4B
6.A2.2A.A$12.3B9.A.A2.2A3.A28.4B2.4B5.4B6.2A$11.B2AB9.A.A38.2B.4B5.4B
$12.2A11.A38.7B5.4B$64.6B5.4B$64.5B5.4B2.B$54.A7.8B3.4B2.6B$54.3A5.9B
.8B2A4B$57.A3.18BA2BA3B$56.2A.21B2A4B$56.29B$58.26B$57.26B$58.24B$57.
24B$56.25B$56.24B$56.10B2A9B$55.11B2A4B$55.17B$55.16B$56.14B$56.14B$
60.11B$60.10B$60.9B$60.7B$58.2A3B$53.2A2.A2BA$53.A3.BABA$50.2A.A.4BA$
51.A.A.2AB$50.A2.A.BAB$50.2A2.A4.A$55.5A2$54.A.2A$54.2A.A!

Much more reasonable, the same TWIT can create a transparent lane for the dependent H-to-G version, the HNE15T22:

x = 102, y = 39, rule = LifeHistory
90.2A7.3B$90.A7.4B$87.2A.A6.4B$54.A32.A.A6.4B$52.3A33.B6.4B$4B35.A11.
A35.3B4.4B$.3BA34.3A9.2A32.5B3.4B$2.3BA36.A9.B26.B4.7B.4B$3.3AB22.2A
10.2A9.3B23.3B3.11B$4.4B22.A10.5B5.6B19.6B2.10B$5.4B21.A.AB9.4B3.10B
10.4B2.7B.10B$6.4B10.A10.2AB.3B4.6B2.11B3.2B2.8B3.16B$7.4B7.3A12.7B.
9BD3B2A15BD25B$8.4B5.A15.17B2D2B2A15BDBD25B$9.4B4.2A15.17B2D18B3DB2A
22B$2.2A6.9B14.18BD21BDB2A21B$3.A7.6B14.19BD48B$3.A.2A5.6B3.B2.2B2.
19B.B3.13B.B5.26B$4.A2.A4.19BD13B7.7B.B13.B2.18B$5.2AB3.20BDBD4B.6B
24.2A5.19B6.A$6.14B2A9B3D4B2.B.5B21.B2AB3.5B2.13B4.3A$7.13B2A11BD4B7.
2A22.2B3.6B2.B2.10B3.A$8.29B8.A22.2B3.10B2.11BA2.A$8.17B.B.2B16.3A18.
BA2B.10B4.10B3A.A$9.15B4.3B17.A18.A.A9B7.7B2.B4.A$9.15B5.A2B.2A33.A.
8B10.5B3.2A.A$10.13B5.A.A2B.A30.3A4.5B14.3B3.A.2A$12.13B2.A.AB2.A31.A
6.4B15.2A.A2.A$11.8B4.2A.A.A3.A40.2B12.2A3.A.4A$11.6B6.2ABA2.4A.A35.
4B13.A2.A.A$11.5B8.B2.A.A3.A.A33.4B16.2A.A.2A$11.B.B9.2A.2A2.A2.A.A
32.4B21.A.A$12.3B9.A.A2.2A3.A32.4B$11.B2AB9.A.A39.4B$12.2A11.A39.4B$
64.4B$63.3AB$63.2BA$64.A!
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