The Hunting of the Periodic Herschel Conduits

[Entity Valkyrie 2]

For those who may have chosen to go sandless, a while ago I posted an "extroduction" in the Sandbox. It was written in-the-moment and looking back on it I think it is a bit over-the-top but the gist is the same: I will be tamping down my activity on this forum. I have been suffering from a bad case of LWTDS and I think 4 years and almost 1100 posts is enough for now.

The reason this is in the oscillator discussion is that I have a partials collection that I have been keeping since about 2024. I also have a collection of oscillators (and a couple of periodic conduits) that I completed from that collection. The headers at the top should explain everything. There may be some oscs in the "completed" file that already got posted by me - I wasn't that discriminating and was just dumping everything I had tagged as complete into one file.

There was a p4 G-to-H in your partials based on a reaction that was only previously known for p5−8. Here is it completed in three forms — acute G-to-H (perpendicular FNG orientation), acute G-to-H (parallel FNG orientation), G-to-2G:

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x = 216, y = 52, rule = B3/S23
36bo79bo79bo$34b3o77b3o77b3o$33bo79bo79bo$33b2o78b2o78b2o5$31b2o78b2o
78b2o$25bo4bobo72bo4bobo72bo4bobo$26b2o3bo74b2o3bo74b2o3bo$25b2o78b2o
78b2o2$50b2o78b2o78b2o$51bo79bo79bo$42b2o7bobo68b2o7bobo68b2o7bobo$42b
o6b2obobo40bo26bo6b2obobo67bo6b2obobo$o39bobo5bobobo2bo39bo24bobo5bobo
bo2bo64bobo5bobobo2bo$3o37b2o6bob2ob3o37b3o9b2o13b2o6bob2ob3o39b2o23b
2o6bob2ob3o$2bo15b2o29b2o42bo11b2o22b2o45bo32b2o$2bo15b2o32bob2o76bob
2o40bob2o32bob2o$52bo2bo76bo2bo37b3o2bobo31bo2bo$49b2obobo74b2obobo39b
2o4bo28b2obobo$34b2o6b2o5bo2b2o60b2o6b2o5bo2b2o41b5o3bo10b2o6b2o5bo2b
2o$34b2o6b2o4bo2bo50bo11b2o6b2o4bo2bo41bo6b4o10b2o6b2o4bo2bo$48bo3b4o
45bo26bo3b4o37bo2b4o28bo3b4o$21b2o25bob2o3bo46b3o23bob2o3bo38bobobo2bo
26bob2o3bo$22bo29bo51bo27bo43bo3b2o30bo$22bobo17b2o8b2o68b2o8b2o41b2o
25b2o8b2o$23b2o4b2o10b3o3bobob3o55b2o10b3o3bobob3o55b2o10b3o3bobob3o$
28bobo11bobobob2o58bobo11bobobob2o58bobo11bobobob2o$28bo10b2obo5b2o58b
o10b2obo5b2o58bo10b2obo5b2o$27b2o5b3o2b2o4bo61b2o5b3o2b2o4bo61b2o5b3o
2b2o4bo$40b2o3bob5o68b2o3bob5o68b2o3bob5o$33bo3bo4b2obobob3o61bo3bo4b
2obobob3o61bo3bo4b2obobob3o$33bo3bo7bobo3bo61bo3bo7bobo3bo61bo3bo7bobo
3bo$34bobo5bo4bobo64bobo5bo4bobo64bobo5bo4bobo$44b3obo2bob2o69b3obo2bo
b2o69b3obo2bob2o$35bo4bobo3bobob2obo61bo4bobo3bobob2obo61bo4bobo3bobob
2obo$34b2o4bo3b2o2bo2bobobo58b2o4bo3b2o2bo2bobobo58b2o4bo3b2o2bo2bobob
o$33b2o6b3o4b2o4b2o57b2o6b3o4b2o4b2o57b2o6b3o4b2o4b2o$33bo9bo69bo9bo
69bo9bo$32b2o78b2o78b2o$29b4o2b2o72b4o2b2o72b4o2b2o$29b2obobo74b2obobo
74b2obobo$31bo2bob2o73bo2bob2o73bo2bob2o$31bo2bo76bo2bo76bo2bo$33b2obo
76b2obo76b2obo$29bob2o2bo73bob2o2bo73bob2o2bo$29bo3b2o74bo3b2o74bo3b2o
$30b3o77b3o77b3o$32bo79bo79bo!

[Period1GliderGun]

partial periodic r129 that needs junk cleaned up

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x = 25, y = 40, rule = B3/S23
13b2o7bo$12bo2bo2bob2obo$13b2obo2bo2bo$16b2obobo$17bob2o$14b2obo$14bo
2bob2o$15b2obo2bo$18bob2o$18bo$2bo14b2o$3o$obo$o3$21b2o$22bo$21bo$22b
3o$24bo17$2b3o$4bo$4b2o!