The Hunting of the Periodic Herschel Conduits

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » October 30th, 2020, 9:18 am

wwei23 wrote:
October 30th, 2020, 8:56 am
I think MathAndCode meant he found another known V-sparker that could support the conduit.
Yes, that's what I meant. I'm sorry for the confusion.



Edit: I found a diehard that makes a compatible spark (the ghost Herschel's great-grandchild).

Code: Select all

x = 3, y = 7, rule = B3/S23
3o$o$o$b2o2$bo$bo!

Code: Select all

x = 3, y = 9, rule = B3/S23
3o$o$o$b2o2$bo$obo$o$bo!
Unfortunately, the clearance doesn't work out. At the same generation, there's something else that looks like a V spark, but unfortunately, attempting to use it creates a domino spark that disrupts the Herschel.

Code: Select all

x = 17, y = 16, rule = B3/S23
6b3o$6bo$6bo$7b2o2$7bo$6bobo$9bo$9b2o$6b3ob2o$bo7b6o$obo4bob2o4bo$o6bo2bo2bo$bo6b2o6bo$14bo$11b2o!


Another edit: It turns out that a two-glider collision can create a V-spark that works in the conduit, so now the BFxH1 can be used for arbitrarily large periods, and the preceding conduit does not need to be intentionally messy.

Code: Select all

x = 20, y = 27, rule = B3/S23
18b2o$18bo$16bobo$16b2o4$o6b2o$3o4b2o$bo3$15bo$14bo$14b3o10$12bo$11b2o$11bobo!
Here is a demonstration with other conduits attached.

Code: Select all

x = 89, y = 126, rule = LifeHistory
84.A$82.2A$83.2A26$55.A$55.A.A$55.2A6$7.3D$7.BDB$6.2B3D$6.5B$6.6B$6.6B$6.5B$5.6B$6.6B$5.7B$5.6B15.2A$5.8B4.B8.A$6.B2A6B.4B3.BA.A$5.2B2A13B.B2A$6.18B$7.17B$10.13B$9.12B$9.10B$8.11B$8.7B.2B9.A.A$7.11B9.2A$8.11B9.A$8.11B$8.11B$6.2AB2.4B3DB$5.A.AB3.3B3D2B$5.A6.2B3DBDB$4.2A7.7B$13.7B$12.8B$13.7B$13.7B10.3A$10.A2.7B10.A$9.A.A10B.B7.A$9.2A10B.2B$10.13B$11.6BC4B4.2A$12.4B3C3B4.A.A$13.3BC5B6.A$13.8B7.2A$12.9B$10.11B$10.10B$9.12B$8.14B$8.17B$9.15B2A$9.15B2A$8.17B$5.16B$4.16B$4.16B$3.16B$2.20B$2.20B$3.20B$2.22B$24B$23B36.A$C13B.10B33.2A$CBC4B.7B2.2B4.2A33.A.A$3C4B2.3B.B4.B4.A$2BC4B4.2B2A3.2A4.3A$6B4.BA2.A4.A6.A$11.3A5.A.A$20.2A$11.3A$11.A2.A$13.2A18$86.2A$86.A.A$86.A!
I am tentatively considering myself back.

Jormungant
Posts: 605
Joined: May 27th, 2016, 1:01 am

Re: The Hunting of the Periodic Herschel Conduits

Post by Jormungant » November 3rd, 2020, 2:48 pm

Dug a periodic H-to-H used in a p360 gun:

Code: Select all

x = 206, y = 220, rule = LifeHistory
13$110.2A$110.A$107.BA.A$107.B2A$105.3B$104.4B$104.4B$100.B2.5B$99.2A
B.6B$91.B2AB4.2A8B$91.4AB4.2B.6B$90.ABA2BA7.7B$90.2AB.A.AB5.8B$91.B3.
ABAB4.8B8.2A$96.B2A3.8B9.A$95.B3A3.10B4.BA.A$94.BABAB.15B.B2A$95.2A2.
18B$100.17B$101.15B20.3B$101.16B17.6B$101.18B9.B.2B.8B$102.20B2.2B.BA
13B$103.15BC8B3A11B$102.9B.4BCBC8B2ABA10B$95.2A6.7B2.4B3C10B3A10B$93.
2B2AB4.8B2.4BC12B2A10B$93.4B6.8B2.26B$93.4B6.8B9.18B$94.2ABA5.9B9.16B
$94.BABA4.10B10.15B2.2A$95.BA2B4.10B9.13B2.2B2AB$95.2A2B2.13B8.13B2.
4B$94.B2A2B2.13B9.4BA5B4.4B$95.2A2.15B10.2BABA5B4.2ABA$99.16B9.2B2A5B
5.BABA$98.18B9.8B6.BA2B$97.26B2.8B6.2A2B$95.24BD4B2.8B4.B2A2B$94.23B
3D4B2.7B6.2A$95.22BDBD4B.9B$95.22BD15B$94.15B.2B2.20B$95.8B.2B.B9.18B
$96.6B17.16B$97.3B20.15B$119.17B$64.2A53.18B2.2A$63.BABAB49.2AB.15B.B
ABAB$64.B3A48.A.AB4.10B3.3AB$48.2AB14.B2A48.A9.8B3.2AB$34.B2.B5.B2.2B
3A9.B3.ABAB47.2A8.8B4.BABA3.B$33.6B3.2A2BA2BABA7.2AB.A.AB58.8B5.BA.A.
B2A$32.7B3.2A2B2A2B2A7.ABA2BA61.7B7.A2BABA$31.9B3.3B2A2.B9.4AB62.6B.
2B4.B4A$31.10B2.3B14.B2AB63.8B2A4.B2AB$31.12B16.B7.2A58.6B.B2A$32.11B
15.3B5.B2AB58.5B2.B$32.13B10.6B5.3B59.4B$33.12B.B3.B.B.9B4.B60.4B$34.
36B57.4B$33.39B54.4B$33.40B52.4B$34.40B50.4B$33.42B48.4B$34.35B3.4B
46.4B$35.31B7.4B44.4B$34.16B2.10B.2B9.4B42.4B$34.14B5.9B13.4B40.4B$
35.11B4.11B15.4B38.4B$35.10B4.12B16.4B36.4B$34.8B7.12B17.4B34.4B$25.A
8.7B8.11B19.4B32.4B$25.3A6.6B9.8B.4B18.4B30.4B$28.A4.7B9.7B4.2A19.4B
22.A5.4B$27.2A4.7B9.7B4.A21.4B19.3A4.4B$27.4B.8B9.6B6.3A19.4B17.A6.4B
$29.11B8.7B8.A20.4B16.2A4.4B$28.12B7.8B30.4B12.5B3.4B67.2A$28.12B4.
10B32.4B8.6B4.4B67.BABAB$28.11B4.11B33.4B7.7B2.4B69.B3A$12.A14.9B5.
14B33.4B4.14B54.2AB14.B2A$12.3A9.2B.10B2.16B34.4B3.13B41.B2.B5.B2.2B
3A9.B3.ABAB$15.A7.19BABA9B36.4B.13B.B39.6B3.2A2BA2BABA7.2AB.A.AB$14.
2A4.22BABA10B36.4B.6B2A8B36.7B3.2A2B2A2B2A7.ABA2BA$14.28BA13B30.2A4.
10BABC7B35.9B3.3B2A2.B9.4AB$16.16B2A9B4A8B32.A5.10BDBC8B33.10B2.3B14.
B2AB$16.18BA7BA3B2A8B31.A.AB2.5B2D3BDBCA7B33.12B16.B7.2A$17.24B2A4BA
8B32.2AB.5BD2BD3BD3A6B34.11B15.3B5.B2AB$19.23BA3BA8B35.8B2D5BA9B33.
13B10.6B5.3B$21.B4.9B.B.B3.B.2BA9B34.25B34.12B.B3.B.B.9B4.B$20.3B5.6B
10.13B33.15B2D8B35.36B$19.B2AB5.3B15.11B34.9BD3BD2BD5B.B2A32.39B$20.
2A7.B16.12B33.8BDBD3B2D5B2.BA.A31.40B$25.B2AB14.2AB2.10B33.8BDBD10B5.
A32.39B$24.B4A9.B2.2B3A3.9B35.7BD12B4.2A30.42B$24.A2BABA7.2A2BA2BABA
3.7B36.16B.4B36.35B4.2A$22.BA.A.B2A7.2A2B2A2B2A3.6B39.B.13B.4B36.31B
7.A$21.BABA3.B9.3B2A2.B5.B2.B41.13B3.4B34.16B2.10B.2B9.3A$21.2AB14.3B
54.14B4.4B33.14B5.9B14.A$21.3AB69.4B2.7B7.4B33.11B4.11B$21.BABAB67.4B
4.6B8.4B32.10B4.12B$23.2A67.4B3.5B12.4B30.8B7.12B$91.4B4.2A16.4B20.A
8.7B8.11B$90.4B6.A17.4B19.3A6.6B9.8B.4B$89.4B4.3A19.4B21.A4.7B9.7B4.
2A$88.4B5.A22.4B19.2A4.7B9.7B4.A$87.4B30.4B18.4B.8B9.6B6.3A$86.4B32.
4B19.11B8.7B8.A$85.4B34.4B17.12B7.8B$84.4B36.4B16.12B4.10B$83.4B38.4B
15.11B4.11B$82.4B40.4B13.9B5.14B$81.4B42.B3A9.2B.10B2.16B$80.4B44.A3B
7.19BABA9B$79.4B46.A3B3.22BABA10B$78.4B48.28BA13B$77.4B50.17B2A9B4A8B
$76.4B52.18BA7BA3B2A8B$75.4B54.24B2A4BA8B$74.4B57.23BA3BA8B$73.4B60.B
4.9B.B.B3.B.2BA9B$73.4B59.3B5.6B10.13B$69.B2.5B58.B2AB5.3B15.11B$68.
2AB.6B58.2A7.B16.12B$60.B2AB4.2A8B63.B2AB14.2AB2.10B$60.4AB4.2B.6B62.
B4A9.B2.2B3A3.9B$59.ABA2BA7.7B61.A2BABA7.2A2BA2BABA3.7B$59.2AB.A.AB5.
8B58.BA.A.B2A7.2A2B2A2B2A3.6B$60.B3.ABAB4.8B8.2A47.BABA3.B9.3B2A2.B5.
B2.B$65.B2A3.8B9.A48.2AB14.3B$64.B3A3.10B4.BA.A48.3AB$63.BABAB.15B.B
2A49.BABAB$64.2A2.18B53.2A$69.17B$70.15B20.3B$70.16B17.6B$70.18B9.B.
2B.8B$71.20B2.2B.BA13B$72.15BA8B3A11B$71.9B.4BABA8B2ABA10B$64.2A6.7B
2.4B3A10B3A10B$62.2B2AB4.8B2.4BA12B2A10B$62.4B6.8B2.26B$62.4B6.8B9.
18B$63.2ABA5.9B9.16B$63.BABA4.10B10.15B2.2A$64.BA2B4.10B9.13B2.2B2AB$
64.2A2B2.13B8.13B2.4B$63.B2A2B2.13B9.4BA5B4.4B$64.2A2.15B10.2BABA5B4.
2ABA$68.16B9.2B2A5B5.BABA$67.18B9.8B6.BA2B$66.26B2.8B6.2A2B$64.29B2.
8B4.B2A2B$63.30B2.7B6.2A$64.29B.9B$64.38B$63.15B.2B2.20B$64.8B.2B.B9.
18B$65.6B17.16B$66.3B20.15B$88.17B$88.18B2.2A$86.2AB.15B.BABAB$85.A.A
B4.10B3.3AB$85.A9.8B3.2AB$84.2A8.8B4.BABA3.B$94.8B5.BA.A.B2A$95.7B7.A
2BABA$96.6B.2B4.B4A$96.8B2A4.B2AB$96.6B.B2A$97.5B2.B$97.4B$97.4B$97.
3B$95.2AB$94.A.AB$94.A$93.2A!

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » November 3rd, 2020, 5:49 pm

Jormungant wrote:
November 3rd, 2020, 2:48 pm
Dug a periodic H-to-H used in a p360 gun
The reaction at the center reminds me of when I was trying to make a G→H or G→B that took advantage of the fact that a beehive is a one-glider seed for an R-pentomino. (There's a third way to hit a beehive with a glider that produces a B-heptomino and other junk, but that looks less promising to me.) Here's a way to create two beehives, but neither is put back with the correct orientation.

Code: Select all

x = 16, y = 22, rule = LifeHistory
8.A$7.A$7.3A6$2.A3.2D$.A.A.D2.D$.A.A2.2D$2.A10.D$.D11.2D$3D11.2D$2.2D9.2D4$5.2D3.2A$4.D2.D2.A$5.2D4.3A$13.A!
There's also a century, would could be hassled back into a beehive, possibly along with one or both of the beehives (as well as removing any beehives not necessary for restoring the original beehive with eaters), but by then, the repeat time would probably be longer than that of the syringe. (The other way to make an R-pentomino by hitting a beehive with a glider is quicker, but that still doesn't leave much time to hassle the century.)
Also, I saw the Herschel's grandchild in the ash.

Code: Select all

x = 13, y = 9, rule = B3/S23
2o$b2o$bo3$9b2o$9bo$10b3o$12bo!
#C [[ PASTEMODE COPY ]]
#C [[ PASTET 29 PASTE b! 6 -2 ]]
Here is the Herschel isolated.

Code: Select all

x = 17, y = 11, rule = B3/S23
15b2o$2o13b2o$b2o$bo3$9b2o$9b2o2$6b2o$6b2o!
#C [[ PASTEMODE COPY ]]
#C [[ PASTET 29 PASTE b! 6 -1 ]]
I am tentatively considering myself back.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » November 5th, 2020, 7:25 pm

Let's give these completed periodic conduits their own post instead of lumping them in with highly speculative conduits that don't even belong here since we're hoping for a stable G→H convertor.

Code: Select all

x = 23, y = 26, rule = TripleB3S23
15.3A$16.2A$15.2A$16.A$8.B3.2A$4.4B.B3.A.2A$4.3B.B.B4.A$3.4D2.B.B3.A$2.6D2.B9.2G$.8D2B8.G2.G$2D6.DFB7.G2.G$.8D2B7.3G$2.6D$3.4D4$11.B.AC$11.B2.A4.2G$10.B3A.B3.2G$9.B.C2.2B$7.2B.B3$7.B2.B$9.2B!
Other sparkers work as well. The block makes getting the R out seems tricky, but I've put in a couple of ways to turn it into a B, which will hopefully be more useful.
Also, here's a periodic W→H based on a partial that I found.
Extrementhusiast wrote:
November 4th, 2020, 6:27 pm
Although they use a different spark, P4 and P6 oscillators that suffice are in jslife:

Code: Select all

x = 36, y = 78, rule = B3/S23
11bo$4bo5bob2o$3bobo4bob2o$3bobo2b2o2bo3bo15b2o$2obobobo5b2o2bo13bo2bo
$obobob2ob2o2bo3bo6b2o4bo2bo$2bobo4b2o3b6o4b2o4b3o$bob2o2b2o6bo3bo$o2b
3obobo2bob3o3b2o$2o5bob2obo3bo$3b2o2b2obobob2ob3ob2o$4obobo2b2obobobo
6bo$o2bobobobo3bo4b3obo$bobo2bo2b2ob2o6b3o$2ob2obobo13bo3bo$bobo2bo2b
2ob2o6b3o$o2bobobobo3bo4b3obo$4obobo2b2obobobo6bo$3b2o2b2obobob2ob3ob
2o$2o5bob2obo3bo$o2b3obobo2bob3o3b2o$bob2o2b2o6bo3bo$2bobo4b2o3b6o$obo
bob2ob2o2bo3bo$2obobobo5b2o2bo$3bobo2b2o2bo3bo$3bobo4bob2o$4bo5bob2o$
11bo28$33b2o$14b2o2bo13bo2bo$14bo2bobo5b2o4bo2bo$15bobobo5b2o4b3o$14b
2obob2o$17bo$7b2o8b6o$6bo2bo5b2o3b5o$5bobobo4bo3bo6bo$5bobob2o3b5o$3b
2obo4bo11bo$3bo2bobob2o11bo3bo$2obo2b2o3bo11bo$o2b2obo2b2o3b5o$b2o2bob
obo4bo3bo6bo$3b5obo5b2o3b5o$3bo4bo8b6o$4b4o9bo$5bo8b2obob2o$3bo11bobob
o$3b2o9bo2bobo$14b2o2bo!
P5 didn't have any working examples, so I found something myself:

Code: Select all

x = 38, y = 20, rule = B3/S23
35b2o$34bo2bo$27b2o4bo2bo$27b2o4b3o$23b2o$22bo2bo$21bobobo$3bo6b2o2bo
2bo2bobo2b2o$2bobo4bob10obobo$bo2bo2b3o11bobob2o$bob2obo3b2o2bob3o2bob
o2b2o$2o2bob4o2bobo4bobobob2o$2bo3bo2b3o6bob2o3bo$2b2ob2obo2bob2o3bo2b
2o2b3o$2o4bob3o4b2obobo2bo2b2o$bob3o5b3o3b2ob4obo3bo$bobo6bo3b2o8b2ob
3o$2bo7b2o2bob3ob3o3bo$18bobo2b2o2bo$23bob2o!
Should I keep trying to find periodic conduits or focus on finding stable conduits?
I am tentatively considering myself back.

wwei23

Re: The Hunting of the Periodic Herschel Conduits

Post by wwei23 » November 5th, 2020, 11:31 pm

MathAndCode wrote:
November 5th, 2020, 7:25 pm
Should I keep trying to find periodic conduits or focus on finding stable conduits?
Usually, I just try to perturb a reaction with stable catalysts, and if I run out of options and it still doesn't work, then I use sparkers to complete the conduit. :P

MathAndCode
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Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » November 5th, 2020, 11:34 pm

wwei23 wrote:
November 5th, 2020, 11:31 pm
Usually, I just try to perturb a reaction with stable catalysts, and if I run out of options and it still doesn't work, then I use sparkers to complete the conduit. :P
I only use sparkers if I already see a partial and can't complete it with only stable catalysts, but I'm wondering whether or not I should even do that because periodic conduits are not as useful as stable conduits.
I am tentatively considering myself back.

wwei23

Re: The Hunting of the Periodic Herschel Conduits

Post by wwei23 » November 5th, 2020, 11:42 pm

MathAndCode wrote:
November 5th, 2020, 11:34 pm
I only use sparkers if I already see a partial and can't complete it with only stable catalysts, but I'm wondering whether or not I should even do that because periodic conduits are not as useful as stable conduits.
Well, once again, a periodic stabilization is still better than nothing at all.
There are also special uses for some periodic conduits. If I remember correctly, there's an R64 variant that uses a figure-8 and a Kok's galaxy, such a variant can be used instead of a regular R64 to make a statorless P256 gun. I also have a feeling that periodic conduits might have some uses in self-constructing circuitry-if you can still get a universal set of components with the limited timing options you have, you get the benefit of easier synthesis. Which is easier to synthesize? That crazy weld in the syringe, or an Eater 2 and a blocker? A snark, or a P8 bumper? All I'm saying is that periodic conduits can be useful in their own way.

An added note by me: It can also be satisfying to watch the periodic conduits oscillate as well. :P

MathAndCode
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Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » November 5th, 2020, 11:58 pm

wwei23 wrote:
November 5th, 2020, 11:42 pm
There are also special uses for some periodic conduits. If I remember correctly, there's an R64 variant that uses a figure-8 and a Kok's galaxy, such a variant can be used instead of a regular R64 to make a statorless P256 gun. I also have a feeling that periodic conduits might have some uses in self-constructing circuitry-if you can still get a universal set of components with the limited timing options you have, you get the benefit of easier synthesis. Which is easier to synthesize? That crazy weld in the syringe, or an Eater 2 and a blocker? A snark, or a P8 bumper? All I'm saying is that periodic conduits can be useful in their own way.

An added note by me: It can also be satisfying to watch the periodic conduits oscillate as well. :P
I guess that you have a point, although periodic conduits do make one's options more limited.
I am tentatively considering myself back.

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dvgrn
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Re: The Hunting of the Periodic Herschel Conduits

Post by dvgrn » November 6th, 2020, 7:43 am

wwei23 wrote:
November 5th, 2020, 11:42 pm
I also have a feeling that periodic conduits might have some uses in self-constructing circuitry-if you can still get a universal set of components with the limited timing options you have, you get the benefit of easier synthesis.
This part remains to be proven, I'd say. Things like simsim314's Remini are certainly interesting, but the gains from "easier synthesis" are questionable.

It's ultimately just not that easy to build circuit structures when they have to be precisely synchronized with each other. You might end up building a lot of one-time turners so that the whole structure can be initialized from one input signal, or you might come up with N different recipes for a glider on each construction-arm output lane, to build a period-N structure. Either way you end up with a lot of complexity in the toolkit, that isn't necessary with stable conduits.
MathAndCode wrote:
November 5th, 2020, 11:58 pm
I guess that you have a point, although periodic conduits do make one's options more limited.
There have definitely been a few cases where periodic conduits were eventually replaced by stable ones. Usually the stable versions have some big hard-to-construct Bellman catalyst in them, though, so for the particular goal of self-constructing circuitry I don't know if periodic circuitry has ever contributed very much.

There's certainly a lot of periodic stuff in the minimum-bounding-box gun collection, but it's mostly just glider reflectors these days. There's not enough room in those bounding boxes to fit in very many Herschel/pi/B/R conduits of any kind, and periodic ones are usually bigger than stable ones.

MathAndCode
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Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » November 6th, 2020, 11:06 am

dvgrn wrote:
November 6th, 2020, 7:43 am
There have definitely been a few cases where periodic conduits were eventually replaced by stable ones. Usually the stable versions have some big hard-to-construct Bellman catalyst in them, though, so for the particular goal of self-constructing circuitry I don't know if periodic circuitry has ever contributed very much.

There's certainly a lot of periodic stuff in the minimum-bounding-box gun collection, but it's mostly just glider reflectors these days. There's not enough room in those bounding boxes to fit in very many Herschel/pi/B/R conduits of any kind, and periodic ones are usually bigger than stable ones.
Okay. In the future, I'll post my partial reactions instead of trying to complete them with sparkers.
I am tentatively considering myself back.

wwei23

Re: The Hunting of the Periodic Herschel Conduits

Post by wwei23 » November 6th, 2020, 11:32 am

MathAndCode wrote:
November 6th, 2020, 11:06 am
Okay. In the future, I'll post my partial reactions instead of trying to complete them with sparkers.
Well, that's another thing that sparkers are useful for. They can be used to help make a working "preview" of what a completed conduit would do. :P

The periodic R conduit's pentadecathalon exists solely for the purpose of clearing ash. I couldn't find any stable catalysts for the ash cleanup, but I can see what it would do if it was completed with a stable catalyst.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » November 6th, 2020, 12:07 pm

wwei23 wrote:
November 6th, 2020, 11:32 am
Well, that's another thing that sparkers are useful for. They can be used to help make a working "preview" of what a completed conduit would do. :P

The periodic R conduit's pentadecathalon exists solely for the purpose of clearing ash. I couldn't find any stable catalysts for the ash cleanup, but I can see what it would do if it was completed with a stable catalyst.
Yes, but one can also use the PASTE function to demonstrate that a partial is close.
I am tentatively considering myself back.

wwei23

Re: The Hunting of the Periodic Herschel Conduits

Post by wwei23 » November 6th, 2020, 12:23 pm

MathAndCode wrote:
November 6th, 2020, 12:07 pm
Yes, but one can also use the PASTE function to demonstrate that a partial is close.
But I personally find it harder to see where it goes wrong then. :P

MathAndCode
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Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » November 6th, 2020, 12:46 pm

wwei23 wrote:
November 6th, 2020, 12:23 pm
MathAndCode wrote:
November 6th, 2020, 12:07 pm
Yes, but one can also use the PASTE function to demonstrate that a partial is close.
But I personally find it harder to see where it goes wrong then. :P
I find it relatively easy to figure it out by looking at the code.
I am tentatively considering myself back.

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bubblegum
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Re: The Hunting of the Periodic Herschel Conduits

Post by bubblegum » November 6th, 2020, 4:12 pm

MathAndCode wrote:
November 6th, 2020, 12:46 pm
wwei23 wrote:
November 6th, 2020, 12:23 pm
MathAndCode wrote:
November 6th, 2020, 12:07 pm
Yes, but one can also use the PASTE function to demonstrate that a partial is close.
But I personally find it harder to see where it goes wrong then. :P
I find it relatively easy to figure it out by looking at the code.
Some people don't think like that. Some people (as per bprentice) think visually.

Also please include whitespace in your posts even when it's redundant. I'm getting sick of trying to pick out the BBCode from the actual text.
Each day is a hidden opportunity, a frozen waterfall that's waiting to be realised, and one that I'll probably be ignoring
sonata wrote:
July 2nd, 2020, 8:33 pm
conwaylife signatures are amazing[citation needed]
anything

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » November 6th, 2020, 6:40 pm

bubblegum wrote:
November 6th, 2020, 4:12 pm
Also please include whitespace in your posts even when it's redundant. I'm getting sick of trying to pick out the BBCode from the actual text.
I'm sorry about that. I'll try to remember to include more whitespace in the future (including in this post).
I am tentatively considering myself back.

MathAndCode
Posts: 5141
Joined: August 31st, 2020, 5:58 pm

Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » November 11th, 2020, 6:57 pm

Here's a BF5 if someone knows of a better dot sparker.

Code: Select all

x = 14, y = 16, rule = LifeHistory
.AC.D$3.C.D$3.C3D$.A2C2D$2.D.D2$2.3A4.3A$6A2.6A$2.3A4.3A5$4.A4.A$2.2A.4A.2A$4.A4.A!
It can also be viewed as a 2c/5 partial.
I am tentatively considering myself back.

Jormungant
Posts: 605
Joined: May 27th, 2016, 1:01 am

Re: The Hunting of the Periodic Herschel Conduits

Post by Jormungant » November 25th, 2020, 5:52 am

Just added mathandcode/wwei2 periodic h-to-g, if one come accross more of these, try to fit the all the lower period possible (that have no common factor), and post it here.

Code: Select all

x = 4632, y = 125, rule = LifeHistory
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B$207.D1703.2A23.4B1547.D2.A5.A2.A.A2.A5.A1012.D2.D72.12BD2B$207.D
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3A2BA1679.9B3C5B5.4B1566.2AB2A$218.A7BA1680.16B6.4B1566.3B$219.A5BA
1681.18B5.4B1565.3B$221.3B1684.8B2A9B4.4B1565.D$222.D1684.8BA2BA8B5.
4B$1906.10BABA9B5.4B$1906.11BA9B7.3B$1907.20B.BA5.2B$1902.2A3.19B2.2A
B5.B$1902.A3.17B3.DAB2A$1904.A.2AB.14B2.3A2BA$1903.2AB2AB5.B2.B2.B2AB
3.BABA.A$1906.B6.3B5.2A6.A.ABAB$1903.2A.2A5.B2AB13.A2B3A$1904.A.A7.2A
15.2ABAB$1904.A.A24.B2A$1905.A26.AB!
This is far from complete ^^', but it is a start.

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Re: The Hunting of the Periodic Herschel Conduits

Post by Entity Valkyrie 2 » November 25th, 2020, 10:49 pm

Smaller p7 H-to-G:

Code: Select all

x = 23, y = 40, rule = B3/S23
11bo$5b2o3bobo$6bo3bo2bo$6bob2obobo$7bobob2o2$8bob3o$8bo3bo$10b2o3b2o$
11bobo2bo$5b2ob2obob2o$5bobo3bo$2b2obobo4b3o$2bob2ob5o2bo$6bo4bo$3b2ob
ob3o$bo2b2ob2o4b2o$b2o10b2o9$19b2o$19bo$o19b3o$obo19bo$3o$2bo14b2o$17b
2o5$7b2o$7b2o2b2o$11b2o!
Periodic syringes:

Code: Select all

x = 431, y = 45, rule = B3/S23
222bobo$219bo2b2obo$219b3o3bo$223b2ob2obo$221b2o3bob2o$o28bo36bo65bo
65bo22bo2bo39bo65bo65bo28bo$b2o25bobo36b2o64b2o64b2o21b4o39b2o64b2o28b
o9bo25b2o25b3o$2o25bobo3b2o31b2o24b2o3b2o33b2o64b2o19b3o42b2o64b2o29b
3o5b3o24b2o$26bob2o4bo57b2o3b2o120bo2b2o140bo3bo$26b2ob3o188bobob4o65b
ob2ob2o63b2o3b2o54b3o$32b5o182b2obob3obob2o60b2ob2o2b2o$15bo8b4o2b2o4b
o44bo6b2o2b3ob3o2b2o44bo17b2o46bo5bo2b3o3bob2o47bo12bo52bo65bo12bobo$
15b3o5bo4bobob2o47b3o4bo2bo7bo2bo44b3o15bo2bo44b3o4b2o4bobo50b3o17b2o
44b3o18bo44b3o10bobo$18bo5b3obo5bo49bo4bobo7bobo48bo65bo5bobobob4o50bo
9b2o5b2o47bo16b3o46bo$17bobo6bobo4bobo47bobo4bo4bo4bo48bobo63bobo4bo4b
o4bo48bobo8b2o53bobo14b5o44bobo8b3o$17bobo7b2obo4bo47bobo5b3o3b3o49bob
o13bob2o46bobo5b3o3b3o49bobo16bo46bobo8b2o3b2o3b2o3b2o38bobo$18bo9b3ob
2ob2o47bo8bobobo52bo9b2o2bobo49bo8bobobo52bo9b2o2b2ob2o47bo9bob2obo5bo
b2obo39bo$34bo59b3o63bo4bo60b3o64b2ob2obo64bo3bo55b3o$28bo3bobo129bo
194bo4bo3bo4bo51bo$29bo3bo127bo2bo194bo13bo$34b3o325bo7bo$36bo5$13b2o
64b2o64b2o64b2o64b2o64b2o64b2o$12bobo63bobo63bobo63bobo63bobo63bobo63b
obo$12bo65bo65bo65bo65bo65bo65bo$11b2o7b2o55b2o7b2o55b2o7b2o55b2o7b2o
55b2o7b2o55b2o7b2o55b2o7b2o$20b2o64b2o64b2o64b2o64b2o64b2o64b2o2$28b2o
bo62b2obo62b2obo62b2obo62b2obo62b2obo62b2obo$28b2ob3o60b2ob3o60b2ob3o
60b2ob3o60b2ob3o60b2ob3o60b2ob3o$34bo65bo65bo65bo65bo65bo65bo$28b2ob3o
60b2ob3o60b2ob3o60b2ob3o60b2ob3o60b2ob3o60b2ob3o$27bo2b2o61bo2b2o61bo
2b2o61bo2b2o61bo2b2o61bo2b2o61bo2b2o$26bobo63bobo63bobo63bobo63bobo63b
obo63bobo$25bobob2obo58bobob2obo58bobob2obo58bobob2obo58bobob2obo58bob
ob2obo58bobob2obo$26bo2bob2o59bo2bob2o59bo2bob2o59bo2bob2o59bo2bob2o
59bo2bob2o59bo2bob2o$18b3o8bo54b3o8bo54b3o8bo54b3o8bo54b3o8bo54b3o8bo
54b3o8bo$20bo7b2o56bo7b2o56bo7b2o56bo7b2o56bo7b2o56bo7b2o56bo7b2o$20b
2o3bobo2b2o54b2o3bobo2b2o54b2o3bobo2b2o54b2o3bobo2b2o54b2o3bobo2b2o54b
2o3bobo2b2o54b2o3bobo2b2o$25b2o2bo2bo58b2o2bo2bo58b2o2bo2bo58b2o2bo2bo
58b2o2bo2bo58b2o2bo2bo58b2o2bo2bo$30b2o64b2o64b2o64b2o64b2o64b2o64b2o!
Bx222 IS MY WORST ENEMY.

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Re: The Hunting of the Periodic Herschel Conduits

Post by Entity Valkyrie 2 » November 28th, 2020, 8:31 pm

MathAndCode wrote:
October 29th, 2020, 4:05 pm

Code: Select all

x = 55, y = 53, rule = LifeHistory
19.2A8.2A$20.A8.2A$20.A.A$21.2A2$28.C15.2A$28.3C13.A$29.C15.A$44.2A2$51.2A$11.3D37.A$12.D39.A$10.3D38.2A2$.A36.A2.A9.2A$.3A32.2A4.2A6.A.A$4.A21.3D.D7.A2.A9.A$3.A.A21.3D11.2A.2A6.3A$4.A22.3D13.2A.2A6.A$41.A2.A$2.A36.3A3.3A$.A.A.A35.A$.A2.2A35.2A.A$2A40.A2.A$45.A$42.A2.A$43.2A2.2A$47.A.A$10.2A19.2A16.A$10.2A19.2A16.2A2$.2A.A7.D$.A.2A6.3D18.2A$10.2D.D18.A$33.3A$35.A2$7.2A$6.A.A$6.A13.D.D6.2A.A$5.2A13.D.D6.A.2A$20.3D4$8.A.2A$6.3A.2A$5.A$6.3A.2A6.2A$8.A.A8.A$8.A.A5.3A$9.A6.A!
OH NO! THAT RLE HAS Bx222!
Bx222 IS MY WORST ENEMY.

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My recent rules:
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Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » November 28th, 2020, 8:49 pm

Entity Valkyrie 2 wrote:
November 28th, 2020, 8:31 pm
OH NO! THAT RLE HAS Bx222!
Don't worry. Further research has allowed BFx1H to be followed by other conduits.
I am tentatively considering myself back.

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Re: The Hunting of the Periodic Herschel Conduits

Post by bubblegum » November 28th, 2020, 11:15 pm

Entity Valkyrie 2 wrote:
November 28th, 2020, 8:31 pm
MathAndCode wrote:
October 29th, 2020, 4:05 pm

Code: Select all

x = 55, y = 53, rule = LifeHistory
19.2A8.2A$20.A8.2A$20.A.A$21.2A2$28.C15.2A$28.3C13.A$29.C15.A$44.2A2$51.2A$11.3D37.A$12.D39.A$10.3D38.2A2$.A36.A2.A9.2A$.3A32.2A4.2A6.A.A$4.A21.3D.D7.A2.A9.A$3.A.A21.3D11.2A.2A6.3A$4.A22.3D13.2A.2A6.A$41.A2.A$2.A36.3A3.3A$.A.A.A35.A$.A2.2A35.2A.A$2A40.A2.A$45.A$42.A2.A$43.2A2.2A$47.A.A$10.2A19.2A16.A$10.2A19.2A16.2A2$.2A.A7.D$.A.2A6.3D18.2A$10.2D.D18.A$33.3A$35.A2$7.2A$6.A.A$6.A13.D.D6.2A.A$5.2A13.D.D6.A.2A$20.3D4$8.A.2A$6.3A.2A$5.A$6.3A.2A6.2A$8.A.A8.A$8.A.A5.3A$9.A6.A!
OH NO! THAT RLE HAS Bx222!
Just because you had a terrible time trying to remove a TWIT from Bx222 doesn't mean we all have something against it, but here's it attached to L112 instead:

Code: Select all

x = 61, y = 53, rule = LifeHistory
25.2A8.2A$26.A8.2A$26.A.A$27.2A2$34.C15.2A$34.3C13.A$35.C15.A$50.2A2$
57.2A$57.A$58.A$57.2A2$22.A21.A2.A9.2A$22.3A17.2A4.2A6.A.A$25.A6.3D.D
7.A2.A9.A$24.2A7.3D11.2A.2A6.3A$19.A13.3D13.2A.2A6.A$19.3A25.A2.A$22.
A22.3A3.3A$21.2A24.A$47.2A.A$48.A2.A$51.A$48.A2.A$49.2A2.2A$2.D15.2A3.
D29.A.A$D.D15.2A2.2D13.2A16.A$3D18.2D14.2A16.2A$D21.D$23.D$38.2A$38.A
$25.2A12.3A$26.A14.A$23.3A$23.A!
Also @MathAndCode could you please use line breaks in your RLEs?
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Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » December 28th, 2020, 7:00 pm

MathAndCode wrote:
November 29th, 2020, 12:39 am
Can Fx158 be made less non-Spartan by using a glider eater that leaves an object that annihilates the output Herschel's first glider (like the following example except that the glider-beehive collision should create nothing instead of a block)?

Code: Select all

x = 30, y = 32, rule = LifeHistory
17.2A$18.A$18.A.A$8.A10.A.A$7.A.A10.A3.2A$7.A.A14.2A$5.3A.2A$4.A$.A2.
4A.2A$.3A3.A.2A$4.A$3.2A7$29.D$27.3D$27.D.D$27.D$C$C.C$3C$2.C2$15.2A$
9.2A4.A.A$10.A6.A$7.3A7.2A$7.A!
I found a periodic solution.

Code: Select all

x = 29, y = 40, rule = B3/S23
20b2o$20bobo$22bo$18b4ob2o$18bo2bobobob2o$16b2o2bo4bob2o$15bo2b2o2b2o
bo$14bob2o2b2obobo$14bo3bo5bo$15b3obob3o$17bobobo$8bo$7bobo8b3o$7bobo
$5b3ob2o$4bo$bo2b4ob2o$b3o3bob2o$4bo$3b2o11$o$obo$3o$2bo2$15b2o$9b2o4b
obo$10bo6bo$7b3o7b2o$7bo!
The pipsquirter can also be moved one cell to the left. Using it probably makes the conduit harder to construct instead of easier, but I suspect that there are other periodic solutions (and hopefully at least one stable solution).
I am tentatively considering myself back.

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Re: The Hunting of the Periodic Herschel Conduits

Post by Hdjensofjfnen » December 28th, 2020, 7:15 pm

MathAndCode wrote:
December 28th, 2020, 7:00 pm
MathAndCode wrote:
November 29th, 2020, 12:39 am
Can Fx158 be made less non-Spartan by using a glider eater that leaves an object that annihilates the output Herschel's first glider (like the following example except that the glider-beehive collision should create nothing instead of a block)?

Code: Select all

x = 30, y = 32, rule = LifeHistory
17.2A$18.A$18.A.A$8.A10.A.A$7.A.A10.A3.2A$7.A.A14.2A$5.3A.2A$4.A$.A2.
4A.2A$.3A3.A.2A$4.A$3.2A7$29.D$27.3D$27.D.D$27.D$C$C.C$3C$2.C2$15.2A$
9.2A4.A.A$10.A6.A$7.3A7.2A$7.A!
I found a periodic solution.

Code: Select all

x = 29, y = 40, rule = B3/S23
20b2o$20bobo$22bo$18b4ob2o$18bo2bobobob2o$16b2o2bo4bob2o$15bo2b2o2b2o
bo$14bob2o2b2obobo$14bo3bo5bo$15b3obob3o$17bobobo$8bo$7bobo8b3o$7bobo
$5b3ob2o$4bo$bo2b4ob2o$b3o3bob2o$4bo$3b2o11$o$obo$3o$2bo2$15b2o$9b2o4b
obo$10bo6bo$7b3o7b2o$7bo!
The pipsquirter can also be moved one cell to the left. Using it probably makes the conduit harder to construct instead of easier, but I suspect that there are other periodic solutions (and hopefully at least one stable solution).
But why not this?

Code: Select all

x = 26, y = 31, rule = B3/S23
25bo$23b3o$8bo13bo$7bobo12b2o$7bobo$5b3ob2o$4bo$bo2b4ob2o$b3o3bob2o$4b
o$3b2o11$o$obo$3o$2bo2$15b2o$9b2o4bobo$10bo6bo$7b3o7b2o$7bo!
EDIT: Oh, never mind, there's no room for the FNG.

Code: Select all

x = 5, y = 9, rule = B3-jqr/S01c2-in3
3bo$4bo$o2bo$2o2$2o$o2bo$4bo$3bo!

Code: Select all

x = 7, y = 5, rule = B3/S2-i3-y4i
4b3o$6bo$o3b3o$2o$bo!

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Re: The Hunting of the Periodic Herschel Conduits

Post by MathAndCode » December 28th, 2020, 7:55 pm

Hdjensofjfnen wrote:
December 28th, 2020, 7:15 pm
Oh, never mind, there's no room for the FNG.
Yes; that's the problem. It's possible to eat it with an unruly weld, but I'm wondering whether there's a way to drop a bait object for the first natural glider to annihilate.
I am tentatively considering myself back.

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