Sokwe wrote: ↑May 11th, 2022, 6:36 am
Here's a potential challenge at 2c/5. Can anyone complete a 2c/5 wickstretcher based on this wick:
Code: Select all
#C period-7 wick by Matthias Merzenich, 22 Feb 2013
#C Stationary fencepost by Matthias Merzenich, 15 Mar 2013
#C 2c/5 wickeater by Matthias Merzenich, 12 Aug 2020
x = 93, y = 65, rule = B3/S23
77bo3b2o$66b2ob3o2b4o3b2o$57b2o3b2o2bo3bobo2bobo3bo$3b2o5b2o5b2o5b2o5b
2o5b2o5b2o5b2o3b3obo3bo2bobobobo4b2o3bo$5b2obo3b2o5b2obo3b2o5b2obo3b2o
5b2obo3b2o2b4o6bobo14bo$b2ob3o2b2ob2ob2ob3o2b2ob2ob2ob3o2b2ob2ob2ob3o
2b2ob2obobobo2bobo2bo11bo$4bo5bo7bo5bo7bo5bo7bo5bo5bo2bob2ob2o14b3o$4o
2b5o2b5o2b5o2b5o2b5o2b5o2b5o2b4ob2obobobo$3bo7bo5bo7bo5bo7bo5bo7bo9bob
o2b4o$2b2ob2ob2ob3o2b2ob2ob2ob3o2b2ob2ob2ob3o2b2ob2ob2ob3o2b2o3bobobob
o$bo3b2o5b2obo3b2o5b2obo3b2o5b2obo3b2o5b2obo8bo4bo$3b2o5b2o5b2o5b2o5b
2o5b2o5b2o5b2o5b2o7b3o17$61bo$60bobo2bo2bo2b2o$59bo2b7o3bo12b2o$59bobo
7b3o13bo$58b2obo2bob2obo16b3o$57bo3bobobob2o8bobo3b3o3bo$3b2o5b2o5b2o
5b2o5b2o5b2o5b2o5b2o5b2o3bo7bob2o6bo3b4o$5b2obo3b2o5b2obo3b2o5b2obo3b
2o5b2obo3b2o2bob2o9b2obobo3bo2bobo4b2o$b2ob3o2b2ob2ob2ob3o2b2ob2ob2ob
3o2b2ob2ob2ob3o2b2ob2obo2bob7o3bobob3ob4obo3bo2bo$4bo5bo7bo5bo7bo5bo7b
o5bo14b2o3bo2bo3bo7bo2b3o$4o2b5o2b5o2b5o2b5o2b5o2b5o2b5o2b12o3bob2obob
2o2b5ob3o$3bo7bo5bo7bo5bo7bo5bo7bo9bo3b4o2bob2o2b2o5bo3bo$2b2ob2ob2ob
3o2b2ob2ob2ob3o2b2ob2ob2ob3o2b2ob2ob2ob3o2b2obo3b2o4bo6bo2bo2bobo2b2o$
bo3b2o5b2obo3b2o5b2obo3b2o5b2obo3b2o5b2obo3bo4bob3o8b2o3b2o$3b2o5b2o5b
2o5b2o5b2o5b2o5b2o5b2o5b2o5bobo$62bo4bo$61bobo$60bo2bo$55b2o3bo$55bo2b
ob2o$56b3obo$62bo2b2o$58b2ob3o2bo$57bobobob3o$57b2o$62bob2o$63bo2bo$
61bo3b2o$55b2o3bob3o$55bo2bobo4b2o$57b2obob3o2bo$58bobobo2b2o$57bo2b2o
b2o$58b2o4bo$59bob3o$59bobo$60bo!
I suspect this will be substantially more difficult than 2c/4 searches since there are comparatively few known short, wide 2c/5 ships.
The chasm between 2c/4 and 2c/5 has never been more apparent to me than now, at the end of an awful lot of searching. Indeed, the paucity of ending arms hurts greatly, but also the trick of reducing the period to c/2 and solving that is gone and the searches are just so much slower and fill memory and die so much faster. For all my work I do not have much to show...
My main attack was to search the wick back-to-front looking for a split. I wrote a new tool/hack to notice some splits automatically in a search since spotting them in random partials myself seems wasteful and poor. Many showed up and I tried quite a few side-to-side searches to turn them outwards. Several splits were vaguely viable, but ultimately nothing I could resolve.
The best looking split ("split A") I gave up at here:
All best partials stitched together in all generations, unsolved branches marked with exclamations:
Code: Select all
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| .................!!!!!!!!!!!....*.*.*..................... | .................!!!!!!!!!!!...**.*.*..................... | .................!!!!!!!!!!!...*..*....................... | .................!!!!!!!!!!!....**.*...................... | .................!!!!!!!!!!!...*.**....................... |
| ..................*.*..**.**...**...*..................... | .................**.*..*.*.*...**...**.................... | .................*..*..*****..*........................... | ..................*...**..*....**......................... | ...................****........*...*...................... |
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| .........................**.***...*....**................. | .........................*.....*....*..................... | ........................*.......******.................... | .........................*..*.....*..**................... | .........................*............**.................. |
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| .........................*.******.*.**.*.................. | ........................**.*....**...*.................... | ........................**..*..*...*...................... | .........................***....*..**..................... | ........................*..**....****.*................... |
| .........................*.....*....*..................... | ...........................*.*.*.*.**...*................. | ........................*..**.**....*.*................... | .........................*..**........*................... | ........................**..**.*.*.*...................... |
| ...........................*.....*...****................. | ........................*.*...*.**...**................... | .........................*.*..**.*....*................... | .........................*..*..***..**..*................. | .........................*****..**...****................. |
| ........................!!!!!!!!!!!!!!!!!................. | ........................!!!!!!!!!!!!!!!!!................. | ........................!!!!!!!!!!!!!!!!!................. | ........................!!!!!!!!!!!!!!!!!................. | ........................!!!!!!!!!!!!!!!!!................. |
First generation only, stripped of markings:
Code: Select all
x = 90, y = 53, rule = B3/S23
20bo$17b2ob2o$16bobobo$2bobo2b2ob2o3b2o3bo$3bo4bo7bobo2bo$3b3o2b3o6b2o
bo$5b2o$2bo4b2o12b2o$b3o4b2o9bo2bo$o5bobo9b5ob2o51bo10bo$b2ob2o2bo2bo
5bo51b3o3b2o6b2o2bo$7b4o7b2o30b2obo8b2o5bo4bo7b3o2bobo$bo2b5o10b3o27bo
2b3o6bobo5bo2b3ob6obobobo$o8bobo9bo27bo2b3o5b2ob2o9bobo2b4o2bobo$bob2o
3b2obo37b2o11b3o3b2obo2b4obo$2b2ob2ob3o7bobo29b3o8b2ob2o5bo5b2o2b2o3bo
$4b2o11bo3bo7bo20b3o2b2o8b2o2bo3b5o3bo2b2obobo$4bobo10bo3bo5b4obobo5b
3o6b2obo3b7o3bo7bo2bo11bo$3b5o9b2o7b4o5bo3bo4bo3bo2bobobo2b2o2bo4b5o3b
3o2b5o4bo$3bo3bo17bo4bo2bobob2obo3b2obo5bo4bo4bobo3b4o3b6o6b2o$3bobo3b
2o15b2o3bobo4bo5bo2b3o4bo3bo2b2obob2obobobo8bo3bobo$4b3o2b3o7b2o7bobob
o3bo3b4o3bo6bo4bobobo2bo4b2o6bo2bo5bo$9b2o6b2obo4bo3b4o4bo8bob2o2bob3o
3b2o2b6obo6bo3bob2o$8b3o6bo7bo6bo3bo2b3o5bob2obo2bo7bobob2o4b2o2bo3bo
4bob2o$8b3o6b2obo3bo5bo4b2ob3o6bob2o3bo7b2obo2bobo3bo2b3o8b2o$6bo3b2o
6bo7bob3obo3bo17b4o5bo4b2o8bo3b2o5bo$5b2ob2obo8b3ob3o10b3o15bo8b3ob3o
3b3o5b3o4bo$6b2o3b2o4bo3b2o43bo18bobo$11b2ob4o49b5obobo10b2o$11bo2bob
2obo49b2o3bo12bo$11bo3b2ob2o$17bo2bo$12b2obo2b4o4b2o5b2o5b2o$14b4o3b2o
5b2obo3b2o$15b2o2bob2ob2ob3o2b2ob2ob2obo$19bo7bo5bo7bo$22b5o2b5o2b5o$
20bo5bo7bo5bo$13bo2bo2b4o2b2ob2ob2ob3o2b2o$12bo3bo2b4obo3b2o5b2obo$12b
o3b2o3bo4b2o5b2o5b2o$12b2o3bob2o$13b2o3bobo$13b2o2b2o$10b3o5b2ob4o$9b
2ob3o3bo4b2o$10b6ob2o2b3o$14bobo5b2o$10bo10b2o$9b2ob2o2bo2b2o3bo$9bob
6obob2obo$9bo5bo4bo$11bo5bo3b4o!
I was only able to solve one branch at any point in all my work and it is that one side-to-side branch solved there. Even that required another tool/hack to look for completions from a database of known arm endings which itself was built from the collection of 2c/5 ships in jslife-moving. The other two side-to-side branches seemed generally viable in that the partials are always quite long, but just never seem to solve. The back-to-front also seems so live, but it just never ends. Shown is the last/deepest version of it I was looking at, having "single branch" moved the search forward several times when the connection looked very thin.
The second-best looking split ("split B") and turn pair was:
All generations:
Code: Select all
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First generation only, stripped of markings:
Code: Select all
x = 32, y = 35, rule = B3/S23
2bobobobobo3b2o$o5b3ob2o4bo$o2bobobo4b4obo$2o8b4ob3o$3bo2b2o2bo$3bo8bo
3b2o$5b2obo3bo2b3o$5b2o2b3o3b2o$bo3bo4bo$2ob2o3bo5b3o$b4ob3o5b2o$6b2ob
2obo$6bobo2b2o$4b2o2b3o2bo$4bobo6b2o$5b2obobo2b2o$5b2obo4b2obo5b2o5b2o
$11b2o2bob2o5b2obo3bo$8bo2bo2b2ob2ob2ob3o2b2obo$9b2o4bo7bo5bo$10b6o2b
5o2b5o$10b2o4bo5bo7bo$2bo2b2o6b2ob3o2b2ob2ob2ob2o$bo4b4obo5b2obo3b2o5b
o$bo2bo6bo3b2o5b2o5b2o$b3o$5bo3bo$3bob2ob5o$3b3o5b3o2bo$3b2o9bo$5b4obo
2bo2bo$3b3o3bobo2bobo$2bo4b2obobo2bo$bo8bo2b3o$ob2ob2o5b2o!
I searched a good bit here as well, but none of the branchings seemed as good as those found on split A and so I spent most of my time there.
I have one more dirty trick still in progress. It tries to split the center in a way that the two sides of the split are the same (but off-phase, similar to how the two sides of the wick are the same but off-phase). If it works it would mean only one "half" to solve instead of two, but it's not clear it will and given that I can't even solve one half of my own choosing from all the previous searching I'm not very optimistic even if it does work. If I post nothing further in the next few weeks you can probably assume it didn't work out.