Pattern of The Year 2024 Nominations - Page 2 - ConwayLife.com

Pattern of The Year 2024 Nominations

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Hippo.69: Posts: 674; Joined: July 14th, 2020, 7:35 pm; Contact:
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Re: Pattern of The Year 2024 Nominations

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Post by Hippo.69 » October 30th, 2025, 11:19 am

I use 11/12 objects in latest RCT15 seeds for corderships (in ECCA cleanup part).
It is definitely based on the listed discovery.
(I have used the parallel glider pair to at most 4 objects seed tool to get them from the skeletton of the mentioned post).

11 for perpendicullar (cleanup on closer side)

Code: Select all

x = 155, y = 125, rule = B3/S23
154bo$152b2o$153b2o77$34b2o$34b2o13$32bo$31bobo$31b2o3$32b2o$33bo14b2o
$21b2o7b3o15bobo$21b2o7bo18b2o4$2o$2o52bo$53bobo$52bobo$52b2o$28b2o$
22b2o4bo$21bobo2bobo$8b2o12bo3b2o$8b2o7$28bo$27bobo$26bobo$26b2o!

Code: Select all

x = 69, y = 99, rule = B3/S23
66bo$66bobo$66b2o41$17bo$16bobo$15bobo$15b2o2$23b2o$23bobo$24b2o14$43b
2o$25b2o3bo12b2o$24bobo2bobo$24bo4b2o$23b2o$2bo11bo$bobo8b3o$obo8bo$2o
9b2o3$12b2o$11bobo9b2o$12bo10b2o12$10b2o$10b2o7$18b2o$18b2o!

But 12 from behind

Code: Select all

x = 76, y = 59, rule = B3/S23
75bo$73b2o$74b2o5$16b2o$16b2o7$8b2o$8b2o12$10bo10b2o$9bobo9b2o$10b2o3$
9b2o$2o7bo$2o8b3o$12bo$21b2o$b2o19bo4b2o$bobo18bobo2bobo$2bo20b2o3bo$
42b2o$42b2o3$22bo$21bobo$21bo2bo$22b2o6$20b2o$21bo$18b3o$17bo$17b2o!

Wow, there is a bug in last RCT15 ... last cordership directed SW uses the old seed.

Code: Select all

x = 106, y = 106, rule = B3/S23
105bo$103b2o$104b2o49$18bo$17bobo$17b2o10$6b2o$6b2o$30bo$29bobo$30bo3$
37b2o$19b2o15bobo$19b2o16bo3$bo$obo$b2o2$7b2o3b2o$6bobo2bobo$7bo4bo2$
22b2o$22b2o$46bo$45bobo$45b2o2$40b2o$40b2o2$17b2o$16bobo$17bo3$17b2o
13b2o$16bobo13b2o$17bo4$20b2o$20bobo$21bo!

And cordership perpendicullar to clean from behind again 12

Code: Select all

x = 57, y = 65, rule = B3/S23
37bo$35b2o$36b2o18$27b2o$27bobo$28b2o2$3bo$2bobo$bo2bo22bo$2b2o23bo$
27bo$47b2o$29b2o3bo12b2o$28bobo2bobo$28bo4b2o$bo25b2o$obo$bo2$55b2o$
55b2o4$26bo7b2o$24b3o7b2o$23bo$23b2o3$24b2o$23bobo$24bo13$21b2o$21b2o!

Edit by Sokwe: this is in addition to these 12-object seeds.

WhiteHawk: Posts: 1376; Joined: July 10th, 2024, 5:34 pm

Re: Pattern of The Year 2024 Nominations

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Post by WhiteHawk » November 1st, 2025, 1:32 am

It's already November in some parts of the world, so are we good to go for voting? If not, what steps are missing?

Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 1st, 2025, 2:14 am

WhiteHawk wrote: November 1st, 2025, 1:32 am It's already November in some parts of the world, so are we good to go for voting? If not, what steps are missing?

We do not have a finalized list of nominees, nor proper descriptions and links for those patterns already nominated. I've been doing my best to try to keep this going, but some help completing the nominee list would be nice. I think most of the nominations have already been made; they're all either in this table or are mentioned somewhere earlier in this thread. Each nominee needs a name, a link to the pattern or collection of patterns, a list of discoverers, and a brief description (1 to 3 sentences) that ideally makes clear why the pattern or collection is significant. I tried to do this as best I could for the large list of new nominations I made here, but some of these are not quite complete.

If you want to help, you can add nominees to the wiki table here. I'll go add the nominees in my previous post right now and report back on which ones need more work.

Edit: I have added the nominees from my previous post, merging some of them with WhiteHawk's recent edits. Some of them still need a link or a description. For some nominees consisting of multiple parts where there is no single link that adequately captures the full entry, it would be nice if someone could make a post in this thread with a brief overview of the discoveries, similar to some of the posts I made earlier in this thread.

-Matthias Merzenich

WhiteHawk: Posts: 1376; Joined: July 10th, 2024, 5:34 pm

Re: Pattern of The Year 2024 Nominations

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Post by WhiteHawk » November 1st, 2025, 4:50 pm

Sokwe wrote: November 1st, 2025, 2:14 am

Would it be better to lump some of the new spaceship synthesis or split them?
EDIT: same question with some of the standard new conduits (minus the duplicator and H-to-LWSS)

Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis

WhiteHawk: Posts: 1376; Joined: July 10th, 2024, 5:34 pm

Re: Pattern of The Year 2024 Nominations

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Post by WhiteHawk » November 1st, 2025, 8:41 pm

Sokwe wrote: November 1st, 2025, 2:14 am

I think I got the remaining ones. Feel free to check on it. Oddly no promotion of long boat spin as an option was made, so I linked it with the oscillator collection.

Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 13th, 2025, 4:02 am

WhiteHawk wrote: November 1st, 2025, 8:41 pm I think I got the remaining ones. Feel free to check on it. Oddly no promotion of long boat spin as an option was made, so I linked it with the oscillator collection.

Thanks! I propose the following mergers:

Merge "Lx65 duplicator", "L141", and "Spartan G-to-W-to-H" into "New spartan technology".
Merge "86P118" and "Honey Ring" into "New Oscillator Discoveries"
Merge "p89 loafer gun", "p61 crab gun", "p84 B29 gun", into a new entry called "fast synthesizable spaceship guns"

Are there any objections to these mergers?

-Matthias Merzenich

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 14th, 2025, 6:27 am

New wickstretchers and greystretchers
(by Keith Amling)

On February 23, 2024, Keith Amling found p6 c/2 wickstretchers for both types of symmetric coiled snakes:

Code: Select all

x = 208, y = 94, rule = B3/S23
108b3o87b3o$107bo2b5o79b5o2bo$106bo3bobob2ob2o71b2ob2obobo3bo$106bo6bo
3bob2o67b2obo3bo6bo$108bo6bo4b5o59b5o4bo6bo$105bobo6bo3bobobob2ob2o51b
2ob2obobobo3bo6bobo$104b2obob2o8bo3bo3bob2o47b2obo3bo3bo8b2obob2o$103b
obobob2o14bo4b5o39b5o4bo14b2obobobo$102b2o3bo2bo13bo3bobobob2o37b2obob
obo3bo13bo2bo3b2o$101bo3bobo2b2o17bo3bo41bo3bo17b2o2bobo3bo$104bo30bob
2o31b2obo30bo$101b2o15b3o13b2obob2o27b2obob2o13b3o15b2o$117bo3bo12b2ob
o3bo25bo3bob2o12bo3bo$116b2o4bo16bob2o23b2obo16bo4b2o$115bobob2ob2o3b
3o8bo2bobo21bobo2bo8b3o3b2ob2obobo$114b2obo4bob2ob3ob3o3bobobob2o19b2o
bobobo3b3ob3ob2obo4bob2o$113bo4bo3bo4bobo3bo2bo2bobo3bo17bo3bobo2bo2bo
3bobo4bo3bo4bo$125bo5bo2b3o35b3o2bo5bo$113b2o7b2o8bobobob2ob2ob2o17b2o
b2ob2obobobo8b2o7b2o$134bobo35bobo$140bo3bob2o13b2obo3bo$140bo2bo2b2o
2bo7bo2b2o2bo2bo$145bobob3o5b3obobo$149bob2o3b2obo$148bo3b2ob2o3bo$
152bo3bo$146b2o4b5o4b2o$145bobo2bobo3bobo2bobo$144b2obob2o7b2obob2o$
143bobobo3bo5bo3bobobo$142b2obobobo9bobobob2o$10b3o71b3o54bo3bobo2bo7b
o2bobo3bo$9bo2b5o63b5o2bo62bo2b3o2bo$8bo3bobob2ob2o55b2ob2obobo3bo52b
2ob2ob2ob2ob3ob2ob2ob2ob2o$8bo6bo3bob2o51b2obo3bo6bo61b4ob4o$10bo6bo4b
5o43b5o4bo6bo55bo3bo15bo3bo$7bobo6bo3bobobob2ob2o35b2ob2obobobo3bo6bob
o58b3o2bobo2b3o$6b2obob2o8bo3bo3bob2o31b2obo3bo3bo8b2obob2o52b3o6b2ob
2o6b3o$5bobobob2o14bo4b5o23b5o4bo14b2obobobo57b3obobob3o$4b2o3bo2bo13b
o3bobobob2o21b2obobobo3bo13bo2bo3b2o60bobo$3bo3bobo2b2o17bo3bo25bo3bo
17b2o2bobo3bo50b2o3b2obo3bob2o3b2o$6bo30bob2o15b2obo30bo53bo2b2o11b2o
2bo$3b2o15b3o13b2obob2o11b2obob2o13b3o15b2o53bob2o7b2obo$19bo3bo12b2ob
o3bo9bo3bob2o12bo3bo65b2o19b2o$18b2o4bo16bob2o7b2obo16bo4b2o67b2obob2o
3b2obob2o$17bobob2ob2o3b3o8bo2bobo5bobo2bo8b3o3b2ob2obobo69bob2o3b2obo
$16b2obo4bob2ob3ob3o3bobobob2o3b2obobobo3b3ob3ob2obo4bob2o66bob2obo3bo
b2obo$15bo4bo3bo4bobo3bo2bo2bobo3bobo3bobo2bo2bo3bobo4bo3bo4bo68bob2ob
2obo$27bo5bo2b3o19b3o2bo5bo78bo11bo$15b2o7b2o8bobobob2ob2ob2ob2ob2ob2o
bobobo8b2o7b2o69b3ob3o$36bobo19bobo85b2o13b2o$42bo3bo3bo3bo91b2o5b3o5b
2o$146bo7bo7bo$5b3o15b3o17b3o5b3o17b3o15b3o53b2o2bo3bobo3bo2b2o$4bo3bo
13bo3bo43bo3bo13bo3bo54b2ob2o5b2ob2o$3b2o4bo11bo4b2o16bob2ob2obo16b2o
4bo11bo4b2o51b2obo3b5o3bob2o$2bobob2ob2o3b3o3b2ob2obob2o15bobobobo15b
2obob2ob2o3b3o3b2ob2obobo53bobo2bobo2bobo$b2obo4bob2ob3ob2obo4bobo13b
2obobobobob2o13bobo4bob2ob3ob2obo4bob2o52bo11bo$o4bo3bo4bobo4bo3bo2bob
2o10bo4bobo4bo10b2obo2bo3bo4bobo4bo3bo4bo19b3o15b3o10bob3o2bo2b3obo$
12bo5bo9bob2o12bo7bo12b2obo9bo5bo30bo3bo13bo3bo9bobob2o3b2obobo$2o7b2o
9b2o7bobo9b2obob2ob2obob2o9bobo7b2o9b2o7b2o17b2o4bo11bo4b2o10bobob3obo
bo$28b2ob2o11bo7bo11b2ob2o44bobob2ob2o3b3o3b2ob2obobo$42bobobo3bobobo
57b2obo4bob2ob3ob2obo4bob2o11bo3bo$26b3ob2obo7bo6bo6bo7bob2ob3o40bo4bo
3bo4bobo4bo3bo4bo4bo4bo$25b2o5b3o8b2ob2ob2ob2o8b3o5b2o51bo5bo15b3ob2ob
2ob2o$25bo5bo3bo10b2ob2o10bo3bo5bo39b2o7b2o9b2o7b2o2b2o3bobobo3bob3o$
24b2o18bo2bobo2bo18b2o70b2o2bo3bo3bobobo2bo$31b2o2b2o23b2o2b2o75bo2bo
6bo5bobo3bo$34bo12bobo12bo79bo5bo5bo2bo5bo$35bo3bo3b4o3b4o3bo3bo88bobo
8bo$37b2ob2ob3obobob3ob2ob2o89b2ob2o8bobo$43b2o2bobo2b2o96bobo6b2obob
2o$35b2obo2bo5bobo5bo2bob2o97b2obobobo$35b2obo8bobo8bob2o88b3o6bo2bo3b
2o$35b3ob2ob2o9b2ob2ob3o96b2o2bobo3bo$34b2o3b2ob2o2b2ob2o2b2ob2o3b2o
87b3o12bo$39b2obob3o3b3obob2o91bo3bo13b2o$48bo101bobo$46b2ob2o98b2ob2o
$47bobo99bo3bo$46bo3bo99bobo$46b2ob2o98b2ob2o$47bobo99bo3bo$46bo3bo99b
obo$46b2ob2o98b2ob2o$47bobo99bo3bo$46bo3bo99bobo$46b2ob2o98b2ob2o$47bo
bo99bo3bo$46bo3bo99bobo$46b2ob2o98b2ob2o$47bobo99bo3bo$46bo3bo99bobo$
46b2ob2o98b2ob2o!

Three days later, Amling found a c/2 coiled snake-supported greystretcher and adapted this to a new type of quartermax:

Code: Select all

x = 312, y = 128, rule = B3/S23
65b3o101b3o$64bo2b5o93b5o2bo$63bo3bobob2o34b3o17b3o34b2obobo3bo$63bo6b
o35bo3bo15bo3bo35bo6bo$65bo6bobo30bo4b2o13b2o4bo30bobo6bo$62bobo6b2ob
2o17b3o2b3o3b2ob2obobo11bobob2ob2o3b3o2b3o17b2ob2o6bobo$61b2obob2o3b2o
bobo15bo3bob3ob2obo4bob2o9b2obo4bob2ob3obo3bo15bobob2o3b2obob2o$5b3o
15b3o34bobobob2o6bob2o13bo6bobo4bo3bo4bo7bo4bo3bo4bobo6bo13b2obo6b2obo
bobo34b3o15b3o$4bo3bo13bo3bo32b2o3bo2bo3b2obo3bo12bo3b2o5bo31bo5b2o3bo
12bo3bob2o3bo2bo3b2o32bo3bo13bo3bo$3b2o4bo11bo4b2o20bo9bo3bobo2b2o4b2o
18bo10b2o7b2o7b2o7b2o10bo18b2o4b2o2bobo3bo9bo20b2o4bo11bo4b2o$2bobob2o
b2o3b3o3b2ob2obobo18b3o11bo11bobob2o11bobo51bobo11b2obobo11bo11b3o18bo
bob2ob2o3b3o3b2ob2obobo$b2obo4bob2ob3ob2obo4bob2o6b3o2b3o5b2o7b2o14b2o
13b2obob3o43b3obob2o13b2o14b2o7b2o5b3o2b3o6b2obo4bob2ob3ob2obo4bob2o$o
4bo3bo4bobo4bo3bo4bo4bo3bob3ob2o2bob2o19b4o2bo9bobobo3bo43bo3bobobo9bo
2b4o19b2obo2b2ob3obo3bo4bo4bo3bo4bobo4bo3bo4bo$12bo5bo15b2o5bob4o2bobo
24bobo8b2obo55bob2o8bobo24bobo2b4obo5b2o15bo5bo37bo$2o7b2o9b2o7b2o2b4o
b2o7bobobob2o17b2o2bo9bo3bo5b2o41b2o5bo3bo9bo2b2o17b2obobobo7b2ob4o2b
2o7b2o9b2o7b2o24b3o$32b2o8b2o3bobobob2o17b2o89b2o17b2obobobo3b2o8b2o
50b3o2b3ob2o$30bo2bo10b2obobobobob2o15bobo2bo8b2ob2o55b2ob2o8bo2bobo
15b2obobobobob2o10bo2bo47bo2b3obo2bobo$31bo4bo5b3o2bobobo4b2ob2o10b2ob
ob2o81b2obob2o10b2ob2o4bobobo2b3o5bo4bo47bo3bobo4bob2o17b3o$36b2o3b2o
2bobobobo2b2o3bob2o2bo7b2ob2o5b3o3bo57bo3b3o5b2ob2o7bo2b2obo3b2o2bobob
obo2b2o3b2o52bo5bo2bobobobo11bo3bo3bo$36b3o2bo7bo2bo4bo4b3ob2o3b2ob2ob
2o4bo5bo57bo5bo4b2ob2ob2o3b2ob3o4bo4bo2bo7bo2b3o54bo2bo7bob2o9b3obo4b
2o$35b2ob2obo4b3o4b3o4bobobo2bo101bo2bobobo4b3o4b3o4bob2ob2o50bobo11bo
3bo7b2o3bob2obobo$38bo6b2obob2obobob2obo2bobo6b3ob3o3b2o5b2o55b2o5b2o
3b3ob3o6bobo2bob2obobob2obob2o6bo52b2obob2o19b2o2bobo4bob2o$35b2obo2b
3o4bo4bo2b3obobob2ob2o22bo53bo22b2ob2obobob3o2bo4bo4b3o2bob2o47b2obobo
bobo7b2ob2o7bo4bo3bo4bo$37b2o5bobo2bo2bo2b2o2bo2bo11b3o6bo2b3o59b3o2bo
6b3o11bo2bo2b2o2bo2bo2bobo5b2o50bobo2bobo7bo5bo5b2o$37bobo19b2obobo2bo
7bo8b3o3b2o53b2o3b3o8bo7bo2bobob2o19bobo47b2obobob2ob2o7bo3bo4b2obob2o
9b2o$42b2o18bobo3bo5bo2bo7bobo61bobo7bo2bo5bo3bobo18b2o52b2o4bo14bo7bo
bobo2b3o7bo$57b3obo4bo9b3ob2obobo65bobob2ob3o9bo4bob3o67b3ob2obob3o3bo
bobo6b2obobo4bob2o5bo8bo$56b2o8bobo5bobo3b2o73b2o3bobo5bobo8b2o65b2o
12b2obo2bobo4b2obo4bobo2bo2b2o5b3ob3o$56bo5bob6o3b2obobo3bo71bo3bobob
2o3b6obo5bo77bobo2bob5o2bobobob2o3b2obob2o5b2obo3b2o$55b2o4b2o9bo3bo
83bo3bo9b2o4b2o75b2obo2bo8bo3bo5bobobo3bo2b2obobobo2b2o$61bob2obo9bo3b
o75bo3bo9bob2obo81b3o4bobo9bo4b2obo4b3o2bo3bo4bo$60b2o5b3obob2o4b2o75b
2o4b2obob3o5b2o82b2o6b3obob2o5bobobob2o3bo2bobobo4b2o$62bo4b2ob2o6bo
11bo7bo7bo7bo7bo7bo7bo7bo11bo6b2ob2o4bo92b2ob2o7b2o3bo16bobob2o$58b3o
4b2o4bobob2o2bob3o5b3o5b3o5b3o5b3o5b3o5b3o5b3o5b3o5b3obo2b2obobo4b2o4b
3o86b2o4bobob2obo3bobo5b2o8b2obobo$57b2o7bo3b2obo2bob4ob2o3b5o3b5o3b5o
3b5o3b5o3b5o3b5o3b5o3b2ob4obo2bob2o3bo7b2o86bo3b2obo2bobo2bo17bo3bobob
2o$57bo7bobo3bobo2bo5bobo2b2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob2o3b2ob
2o3b2ob2o3b2o2bobo5bo2bobo3bobo7bo85bobo3bobo2bobo24bo3b2o$56b2o12b2ob
ob2o3bo2bobobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo2bo2bobo
2bo2bobobo2bo3b2obob2o12b2o89b2obob2o3bo7b2o9b2o3bob3o$71bobobobob3obo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
b3obobobobo105bobobobobo6b2ob2o17b2o$70bo2bobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo2bo
103bo2bobobobob2o3b4o$70b2obobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobob2o103b2obobobobobo5b
2o$71bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobo105bobobobobobob2o$70bo2bobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobo2bo103bo2bobobobobo2bo$70b2obobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobob2o103b2obobo
bobo2b2o$71bobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobo105bobobobobobo2bo$70bo2bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobo2bo103bo2bobobobobob2o$70b2obobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob2o103b
2obobobobobobob2o$71bobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobo105bobobobobobobobo$70bo
2bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobo2bo103bo2bobobobobobobob2o$70b2obobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobob2o103b2obobobobobob3o2bo$71bobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo105bobobo
bobobobo4bo$70bo2bobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobo2bo103bo2bobobobobo2b4o$70b2obo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobob2o103b2obobobobobobo$71bobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
105bobobobobobob5o$70bo2bobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobo2bo103bo2bobobobobobo4bo
$70b2obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobob2o103b2obobobobobobobo2bo6b4o$71bobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobo105bobobobobobobobob2o5bo3bo$70bo2bobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obo2bo103bo2bobobobobobob2o11bo$70b2obobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobob2o103b2obo
bobobobobobo8bo2bo$73bobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobobobobobobobo109bobobobobobobo3bobo8bo2b
o$73bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobo109bobobobobob3o2bo4b2o9bo$74bo3bo3bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo111bo3bo3bo5bo4b
2o5bo3bo$283bo4bo2bo2bo6b4o$291bo3bobo$288bobo3bo3bo$294bo3bo$282b6obo
3bob3o$282b8o3bobob7o$283b2o4bo2bo2bo7bo$285b2ob2o4b2o7bo$289bo3b2o7bo
$289b3o4b3obo$285bob2o2bo3bo3bo$288bo2b2o4b2o$285bob2o7b3o$284bo2bo8bo
$288bo5bo$288b2o3b2o2b3o$287b3ob2o4b2ob3o$287b2o2bo10bo$288b2o4bobo5bo
$289b4ob2ob2o2bo$293bo$290bob3obo3bo$286b3o3bob4o3b2o$285b3o2bo5b2obo
2bo$285b2o2bo2bo2bo2bo3bo$291bo2bob2ob3o$293bo2bo2bo$287b7ob2obo$270bo
6bo2b3obob3o6b5o$270bo9b2obo3b5o4b2obo$260b3o5bo3bo7b2obo2bo2bobobobo
3bo$259b5o6b4o6b3o2bo3bob2obo3b2obo$259b3ob2o5b2o2bo2bo2bo5bo4b2o6b2ob
2o$262b2o9b2obo3b2o17b2o2bo$274bobo4bo5b2o9bo4bo$268b2o10b2o3bo2b2o7b
3o2bo5b2o$264b2ob3o4bo2b4o4b2o2b2o5bob3o5b2ob2o$265b4obobob2ob3o4b3ob
2o6bobob2o4b4o$267b4o2bo11b2o13bobo4b2o$268b2o2bo23bo5bo$298b2o3b6o$
297b3o3b7o$297bo5bob3ob2o$298bo3bo5b2o$300bobobo$302b2ob2o$298bob2obob
2o$299b3o2bob4o$298b2o4b3o2bo$296b3o4bo5bo$287bobo5bo2bo2b2ob2ob2o$
287bo2bo4bo2bo2b2o$290bo3bobo4bo2b2o$283bo7bo3b3o3bobo2bo$290b2o3bo2b
4obo3bo$283bo5bobo7bo8b3o$284b5ob4o16bo$290b5o13bobo$290b3ob2o10bob2o$
293b2o10bo2bo2$307bo2$309b2o$306b3ob2o$306b5o$307b3o!

Finally, on March 19, 2024, Amling found an alternative c/2 greystretcher with lines bounded by extended tables and again adapted this to create another new quartermax:

Code: Select all

x = 269, y = 142, rule = B3/S23
39bo115bo$38b3ob2o107b2ob3o$37b2o3bob2o103b2obo3b2o$36b2o2bo4bo103bo4b
o2b2o$37bo5bob2o101b2obo5bo$36b2o7bob2o97b2obo7b2o$34b2obobo7bo99bo7bo
bob2o$35bobob2o3b2obob2o93b2obob2o3b2obobo$32b2obobo3bo5bob2o93b2obo5b
o3bobob2o$32b2o3bo7bobo2bo93bo2bobo7bo3b2o$32b3obo3b2o6bob2o91b2obo6b
2o3bob3o$31b2o13bob2o95b2obo13b2o$45bo4b2o91b2o4bo$46bo2b2o93b2o2bo$
49bo95bo$45b2o3bo93bo3b2o$44bo2bo99bo2bo$47b4o93b4o$44b2obo3bo91bo3bob
2o2$45bob2ob2o91b2ob2obo$44bo105bo$46bo3bo93bo3bo$47bobo95bobo98bo$46b
2ob2o93b2ob2o96b3o$47bobo95bobo96b3ob2o$44b2obobob2o89b2obobob2o81bo4b
o4b2obo2bo$44b2obobob2o89b2obobob2o80b3ob2ob2obobo4bob2o$44bobo3bobo
89bobo3bobo79b4o7bobo2bobob2o$8bo34b2ob2ob2ob2o87b2ob2ob2ob2o34bo42b2o
2b2obobob3o8bo$7b3ob2o11bo7bo129bo7bo11b2ob3o42bo11b2o7b2o$6b2o3bob2o
8b3o5b3o9b3ob3ob3o87b3ob3ob3o9b3o5b3o8b2obo3b2o40b2o$5b2o2bo4b5o3b5o3b
3ob2o123b2ob3o3b5o3b5o4bo2b2o37b2obob2o$6bo5bobobob2ob2o3b2ob2o3bo13b
5o89b5o13bo3b2ob2o3b2ob2obobobo5bo39bobo2b2o$5b2o6bo3bo3bo2bo2bobo2bob
ob2o5b2o5bo10bo2b3o61b3o2bo10bo5b2o5b2obobo2bobo2bo2bo3bo3bo6b2o35b2ob
o2bo2bo$3b2obobo10bobobobobo3bo4b2o5bo6bo8b2ob3o2bo59bo2b3ob2o8bo6bo5b
2o4bo3bobobobobo10bobob2o33b2obo5b2o$4bobob2o8bo2bobobobobobo2b2obo5b
4o11bo3bobo3bo3bo49bo3bo3bobo3bo11b4o5bob2o2bobobobobobo2bo8b2obobo34b
obo$b2obobo3bo10bo12b2ob2o3b2o2b2o3b2o3b2o2bobo5bo2b3o5bo35bo5b3o2bo5b
obo2b2o3b2o3b2o2b2o3b2ob2o12bo10bo3bobob2o30b2ob2o$b2o3bo9b2o14b2o13bo
3b2o3bo3bobo2b5o3b2o3b3o33b3o3b2o3b5o2bobo3bo3b2o3bo13b2o14b2o9bo3b2o$
b3obo3b2o5b2o11b2obob2ob2o8b2o3bo3b3obobo2b2o2bo2bob2o2bob2o31b2obo2b
2obo2bo2b2o2bobob3o3bo3b2o8b2ob2obob2o11b2o5b2o3bob3o30b3ob3o$2o14bo
10b2obobo2b2o15b2ob2o3bobobo4bo2b2obobob2ob2o3bo19bo3b2ob2obobob2o2bo
4bobobo3b2ob2o15b2o2bobob2o10bo14b2o16bo18b2o$15b2o9bo3bo6bob2o21bo2bo
9bobo4bobob3o17b3obobo4bobo9bo2bo21b2obo6bo3bo9b2o30b3ob3o14bo$15bo9bo
4bo2bobobo3b2ob9ob3o4b2o9bo4bob2obobo3b2o15b2o3bobob2obo4bo9b2o4b3ob9o
b2o3bobobo2bo4bo9bo29b2o3bob2o6b2o5b2o$15b6o3b2ob2o8bobo4bobob3o10bobo
10b2o10bo2b2o13b2o2bo10b2o10bobo10b3obobo4bobo8b2ob2o3b6o28b2o2bobobob
2o5bo$14b2o2b3ob2obo11bo3bobobo18bobo3bo18bo15bo18bo3bobo18bobobo3bo
11bob2ob3o2b2o28bo4bo3bo5bobo$20bo4bo14bo3bo9b2o10b2ob3o7bo9b2o13b2o9b
o7b3ob2o10b2o9bo3bo14bo4bo33b2o4bobobob2o3b3o$22bo16bo7b2o6bo9bobobob
2o5b3o5b2obob2o9b2obob2o5b3o5b2obobobo9bo6b2o7bo16bo33b2obobo8bo6b2o4b
o$24b2o17b2ob2o6bobo9bo5b2o3b3ob2o2b2o2bobo11bobo2b2o2b2ob3o3b2o5bo9bo
bo6b2ob2o17b2o36bobob2o7bob2o3bo4b3o$32b3o2b5o6bo14b2ob3o3bo3b2o4bo2bo
2bo2bob2o5b2obo2bo2bo2bo4b2o3bo3b3ob2o14bo6b5o2b3o41b2obobo3bo8bo4b4o
3b2o$31bo2b3o5bo7b3obobo6b2o2bobobobo2bo3bobob2o5bob2o5b2obo5b2obobo3b
o2bobobobo2b2o6bobob3o7bo5b3o2bo40b2o3bo12bob2obobo2bo2b2o$20bo9bo3bo
10b2o3b3obo2b2o5bo3bo2bobobobo4bo9bobo5bobo9bo4bobobobo2bo3bo5b2o2bob
3o3b2o10bo3bo9bo29b3obo3b2o7b5obo7bo8b2o$19b3ob2o5bo5b2ob2o2b2obo2b3o
7bob2o10bobobob2obo8b2ob2o3b2ob2o8bob2obobobo10b2obo7b3o2bob2o2b2ob2o
5bo5b2ob3o27b2o30b2o6b4o$18b2o3bob2o5bo13bobo7bo3b2o2bo5b2o3bobob3o31b
3obobo3b2o5bo2b2o3bo7bobo13bo5b2obo3b2o38bo7b3ob2o4bobob2o4b2ob2o$17b
2o2bo4bo2bobo6b5obo4b2o6bobobobo5bo9b2o8b3ob3o3b3ob3o8b2o9bo5bobobobo
6b2o4bob5o6bobo2bo4bo2b2o36b3ob5ob2o6b2obobo7b2o$18bo5bo2b3o7bo6b3o5b
2o9bob2o3bo17b2o15b2o17bo3b2obo9b2o5b3o6bo7b3o2bo5bo36b2o3b4obo3bo3bob
obobob2o$17b2o6bobo3b3o8bob4o5b2o8bob2o21bo17bo21b2obo8b2o5b4obo8b3o3b
obo6b2o34b2o2bo2bo2bo2bo4b2obobobob3o$15b2obobo6bobo4b2ob2obobo4b2o3bo
4b3o4bobo20b2o17b2o20bobo4b3o4bo3b2o4bobob2ob2o4bobo6bobob2o33bo9bobob
2o4bobobo3bo$16bobob2o5bobobo9b2obo2bo4bo2b3o2bo2b2ob2o59b2ob2o2bo2b3o
2bo4bo2bob2o9bobobo5b2obobo33b2o8b2o2b3o2bobobobo2b2o$13b2obobo3bo3bo
6bobo8bobobo2b2o2bobo3bo5bo59bo5bo3bobo2b2o2bobobo8bobo6bo3bo3bobob2o
28b2obobo9bobo3bobobobo2bo$13b2o3bo9bo5bo9bobob2ob2obobo4b4obobo57bobo
b4o4bobob2ob2obobo9bo5bo9bo3b2o29bobob2o8bo4b2obobobobobo$13b3obo3b2o
3bo14b2obobobobo3bo5bobo69bobo5bo3bobobobob2o14bo3b2o3bob3o26b2obobo3b
o4b2obobo3bobobobobob2o$12b2o13bobo12bobobobo3bo2bo83bo2bo3bobobobo12b
obo13b2o25b2o3bo9bobo2b2obobobobobobob2o$24b2obob2o11bobobobo2bo91bo2b
obobobo11b2obob2o37b3obo3b2o5bobobobobobobobobobo3bo$24b2obobobo9b2obo
bob2o95b2obobob2o9bobobob2o36b2o13b2obobobobobobobobob2o2bo$24bo2bo3b
2o9bobobobob2o91b2obobobobo9b2o3bo2bo52bobobobobobobobobo4b2o$23b2o2bo
bo3bo8bobobobobobo3b3o5b3o5b3o5b3o5b3o5b3o5b3o5b3o5b3o5b3o5b3o3bobobob
obobo8bo3bobo2b2o51bobobobobobobobobob3o$30bo10b2obobobobobo2bo3bo3bo
3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo2bobobobobob
2o10bo57b2obobobobobobobobo$32b2o8bobobobobobobo5bobo5bobo5bobo5bobo5b
obo5bobo5bobo5bobo5bobo5bobo5bobobobobobobo8b2o60bobobobobobobobobo2b
2o$42bobobobobobobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo5bobo
5bobobobobobobo70bobobobobobobobobobo2b2o5bo2bo$41b2obobobobobobob3obo
bob3obobob3obobob3obobob3obobob3obobob3obobob3obobob3obobob3obobob3obo
bobobobobob2o68b2obobobobobobobobo2bo2bo9bo$42bobobobobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobo70bobobobobobobobobobo3bo5bo3bo$42bobobobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobo70bobobobobobobobobobob2o7b4o$41b2obobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobob2o68b2obobobobobobobobobo$42bobobobobobobo
bobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobo
bobobobobobobobobobobobobobo70bobobobobobobobobob2o5bobo$42bobobobobob
obobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobobob
obobobobobobobobobobobobobobobo70bobobobobobobobobobo3bo2bo2bo6b4o$43b
o3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo3bo
3bo3bo3bo3bo72bo3bo3bo3bo3bo2bobobo3bo5bo3bo$248bo3bo8bo$246b3o8bo2bo$
240b4o9b2o$239b7o3bo2bob2obo$239b5o7bo7bo$245b5obobo6bo$244bo3b2obobo
6bo$245b2o2bobob8o$244bo2b3o$244bo3bobo4bo$244b2o3bob3ob2o$242bo2bo8b
2o$242bobo6b3o$245bo8bo$242b4o2bo4b4o$244b3o4bobobo2bo$246bo3bob2obo3b
o$250bo2b2obo2bo$244b2o4bo3bo2b3o$244b5obo3bo$245bo3bo4bo$245b5ob2obob
3o$244b2o4b2obo2bo2bo$242bo2bobob3o7bo$246b2o3b2o3bob2o$244b9ob4o$244b
2o8b2o$237b2o4b8o$236b4o2bo7bo4b2o$225bob2o6b2o6bo4bo3bo2b2o$224bo3b2o
4b3obo4bo4bo3b2obobo$219b2o7b2o4b3obob4o3bo4b3o2b3o$216b3ob2o3b2o4b2ob
2o2bo3bo4b3o5b2o3bo$216b5o11bo3b3o4bob4o6b2o3bo$217b3o9bo4bobobo3b4o
10bob3o3b2o$233b2o2b2o5bobo10bo5b4o$220b3o2b3obo6b2o8b2o15b2ob2o$220b
2o3b2o7bo6bob4o6b3o9b2o$225b2ob3ob2o7bob3o9b2ob2obo$227bobo25bo2bo2bo$
255bo2bo$255b4o6b2o$256bo3b5ob2o$257bo4b5o$256bobobo3b2o$259b3o$256b2o
bo3b3o$263b2obo$257bo2bo2bo2bo$258bo2bobob2o$244bo5bo3b6o3b2o$244bob2o
2bob3o3b2o$247bob2o6bobo$249b5o3bobob4o$241b4ob3o3bo5bo3b2o2bo$240bo4b
o7bob2o10bo$245bo21bo$240bo3bo5b2o11b2ob2o$242bo4b3ob2o$247b5o11b3o$
248b3o13bo2$264b3o$263b5o$263b3ob2o$266b2o!

-Matthias Merzenich

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 14th, 2025, 6:54 am

Fast synthesizable spaceship guns
(by Entity Valkyrie, Louis-François Handfield, Evin, iNoMed, Goldtiger997, Tanner Jacobi, DroneBetter)

In 2024 Entity Valkyrie constructed very fast guns for loafer, crab, and B29 based on new syntheses by various users.

Code: Select all

#C Period-89 loafer gun by Entity Valkyrie, June 28, 2024
#C Based on a synthesis by Louis-François Handfield
x = 344, y = 351, rule = B3/S23
157b2o3bo$155b3obobobo$154bo4bobobo$154bobobobobo$149b2o4b2obobo15bo$
150bo8bobo13bobo$150bobo7bo14bobo$151b2o21b2ob3o$180bo$168bo5b2ob3o$
168b2o4b2obo$153bo7bo6b3o78bo$151b2o6bob2obo83bobo$152b2o4bo4bo2bo81bo
b3o$159bo2b2o2bo78b2obo4bo$160b3o82bobobobobo$164bo66bo15bobob2o4b2o$
158b2o5bobo62bobo13bobo8bo$158b2o6bo17bo45bobo14bo7bobo$182b3o43b3ob2o
21b2o$135bo45bo45bo$133b3o25b2o18b2o45b3ob2o4b2o$132bo28b2o2b2o63bob2o
3bo2bo$131bobo31bobo17b2o50bo2b2o$131bobo33bo16bo2bo50b3o$132bo34b2o
15b2obo51bo2bobo$187b2o52bo2bo12bo$90b2o92b2o3bo51bo16b2o$89bobo91bo2b
3o52b2o14b2o$83b2o4bo92bob2o$81bo2bo2b2ob4o22b2o48b2o3bo2b3o6bo2bo36bo
$81b2obobobobo2bo22b2o48b2o2bo2bob2o8b2o36b3o$84bobobobo79b2o54bo45bo$
84bobob2o40bo8b2o33b2o49b2o18b2o25b3o$85bo43bo7bo2bo24b2o7b3o16bo47b2o
2b2o28bo$129b3o5b2o27bo7b3o15bobo26b2o17bobo31bobo$98b2o63b3o3b2o19b3o
bo25bo2bo16bo33bobo$89b2o7bo64bo5bo19bo4bob2o22bob2o15b2o34bo$89b2o5bo
bo30b2o58bobobobobo21b2o98b2o$96b2o31b2o53b2o4b2obobo15bo6bo3b2o94bobo
$115b2ob2o65bo8bobo13bobo6b3o2bo87b2o4bo$68bo46b2obo2b2o62bobo7bo14bob
o9b2obo5bo78bo2bo2b2ob4o$68b3o48bob2o63b2o21b2ob3o6bo2bo5bobo7b2o48b2o
18b2obobo3bo2bo$71bo18b3o20b5obo58b2obo33bo5b2o7b2o3bobo2b2o35b3o10b2o
21bobob2o$70b2o18bo21bo3bo2bob2o55b2ob3o19b2o4b2ob3o22bo39b3o33bobob2o
$91bo14b2o3bobo4bobo2bo60bo17bo2bo3b2obo20bo33b2o7bo3bo33bo$86b2o19bo
3bo2bo2b2obobobo53b2ob3o18b2obo27bobo5b2o24bo2bo5b2ob2o28bo$62b2o9bo
13bo19bob2obobo5bo2bo55bobo21b2o25bo4b3o3bo27b2o36b3o17b2o$62bo9b3o9b
3o21bobobob2o4bo10bo9b2o36bobo16b2o30b3o3bobo3b3o47b2o12bo11bobo6bo$
59b2obo8b5o8bo26b2obo2b2ob2o7b2ob2o7bo38bo3bobo10bo2bo32bo2bobo5bo47bo
12bobo10b2o5bobo$59bo2b3o5b2o3b2o39b2obo2bobo3b2ob3o5bobo42b2o15bo29bo
bo59bo11bobo17b2o$60b2o3bo3b3o3b3o42bo2b2o3b5o6b2o44bo11bo2bo30b3o58b
2o12bo6bo$62b4o4b2o3b3o38b4o9b3o67bo88b2obo19b2o$62bo8b5ob3o2b2o10b2o
20bo13bo26b2o60bo65b2o2bobo20b2o$63b3o6b3o3bobo2bo11bo21b3o36bobo58b3o
65b2obo2bobo$66bo6bo6b2o13bobo11bo9bo38bo11bo45bo6bo2bob2o58bobob2o$
61b5o14bo15b2o10b3o3b2o52b3o25b2o18b2o5b4ob2o55b2obobo$61bo20bo24bo2bo
3b2o51bo28b2o2b2o82bo2bo2bo24b2o$63bo17b2o24bo58bobo31bobo17b2o3b2ob2o
53bobobobo26bo$62b2o43bo58bobo33bo16bo2bo3bobo48bo6bo2bob2o22b3o$67b2o
42bo55bo34b2o15b2obo3bobo36b2o8bo11bo23bo2bo23b2o$68bo39bo2bo2b2o106b
2o3bo38bo8bo10b2o12b2o9b2o3bo21bo$68bob2o37b2o3b2o103b2o3bo21b2o18bobo
4b2o8bobo2b2o11bo13b2o23bo$69bo2bo65b2o78bo2b3o22bobo18b2o4bobo7b2o2bo
2bo29b2o14b5o$70b2o34b2o14b2o14b2o70bo6bob2o25bo25b3o13b2o14bo16bo13bo
$106bob2o13bo77b2o8b2o5bo2bo50bo29bobo16bobo12b3o$106bo3bo9b3o78b2o2b
2o4b2o7b2o51b2o27b3o17b2o4b2o9bo$85b2o19b2o2bo9bo42b3o39b2o25bo40b2o
18bob2o30b3o6b4o$82b5o20b3o4bo35b2o10bo3bo7b2o32b2o21bobo57b3ob2o31bo
2b2o3bo3b2o$87b2o19bo4bobo14b2o17bobo10b2ob2o5bo2bo24b2o6bo5bo14b3obo
56bo40b2o4b3o2bo$88bo5bo3b2o14bo11b2obobo17bo22b2o27bo5bo2bo17bo4bob2o
54b3ob2o42bob2o$87bo5bobo3bo27bobo18b2o48b3o3b2o6b2o14bobobobobo56b2o
2bo41bo$92bobo3bo28bob2o7bo59bo5b2o2bo2bo11b2o4b2obobo15bo45bobo39b2o$
88b2obobo3bo26b2obo8bo72b3o12bo8bobo13bobo41b3obobo16bo$90b2o2b4obo4b
2o18bo2b4o5bo87bobo7bo14bobo40bo2bo2bo15b3o$92bobo3b2o3bobo19b2o3bo3b
2o89b2o21b2ob3o14b2o21bobobo17bo16b2o$75b2o11b2ob2obobo6bo23b3o4bobo
17bob2o96bo13b2o14b2o4bobo2b2o16b2o15bo$72bo3bo12bobo3bob3o2b2o23bo5b
3o16b3ob2o71b2o17b2ob3o30bo5bobobo2bobo31b3o$55b2o11bo3b4o13bobo4bo2bo
25bobo5bo17bo61b2obo11b2o10b3o5b2obo33b3o3b2ob2o2b2o33bo$55b2o10bobo
20bo6b2o26b2o7b2o16b3ob2o55b2ob3o11bob3o4b5o43bo$67bobo2b2o3bo56b2o18b
2o2bo60bo13b2o3b2o2b2o$66b2ob2o2bo2bobo78bobo53b2ob3o18b2o37b2o14bo$
70bobo3bobo12b2o60bob2obobo4b2o47bobo21b4o34bobob2o10b3o$66b2obo2b4obo
13bo61b2obo2bo4b3o9b2o36bobo22b3o36bobo14bo9bobo$66b2obobo3bo13bobo49b
2o13bo9b3o7bo38bo17b2o5bo28bo7b2obo13b2o9bobo5b2o$70bobo3bo12b2o51bo
13b2o10bo5bobo56bo34b2o10bob2o17b4o3bo4bob2o7bo$71bobo3bo20b2o39b3o12b
2o2bobo13b2o18b3o36b2ob2o9b2o9bo9bobo6b4o2bo14b8obo4bo5bo3b3o$72bo3b2o
20bobo2b2o34bo13bo2bo2b2o6b3o26bo37bo2bo8b2o8b3o18bo3b2o13bo6bo3bo4bo
3bobo2bo$60b2o23b3o7bo4bo3bo21bo13b2o12b2o13bo25bo13bo27bo10bo6bo22b3o
14bo5bobob2o3bobo3bo5bo$60b2o23b2o8b5ob3o20bobo14bo25b3o37b3o24bo2bo
17b2o18bo4bo15bo4b4o6bob3o5b2o$61b5o21bo11bobo23b2o14bob2o61bo28b2o2b
2o30bo3b2o3bobo17bo2bo6bo9bo2b2o$62bo3bo28b3obobo36b2ob2obo60bobo31bob
o17b2o15bo4b2o16bo20b3o2bo$66bo27bo2bob2o37bobo64bobo33bo16bo2bo10b3ob
2o22bo23bo$48b2o12b2ob2o27b2o44bo65bo34b2o15b2obo14bo22bobo5b2o3b2o6b
4o$47bo2bo13bo75b2o119b2o8bo3bo24bo6b2o3b2o7bo$46bob2o208b2o2bo9bo2bo
43bo$46bo210bo2b2o3b2o5b3o42b7o$45b2o45b2o114bo47bob2o5bo46bo3bo5bo2bo
$52b2o41bo77b2o15b2o15bo32b2o15bo2b2o4b3o42bobobob3o4b2o$53b2o4b2o29b
2o4b2o59b2o14b2o15b2o15b3o30b2o4bobo10bo2bo5bo42bobobo4bo$52bo7bo28b2o
6bo18b2o6bo33bo90bo10b2o4b2o44bobobobobo$58bo16b2o11b3o2b2o2bo13b2o3bo
8bo29b3o55b2o30bo3bo16bo31bo15bobob2o4b2o$58b2o16bo16b2obo14bobo3b3o3b
3o29bo55bo2bo24b2o5bobo14b2obo30bobo13bobo8bo$73b3o33bobob4o2bo91b2o
27bo6bo15bob2ob2o27bobo14bo7bobo$73bo35b2o5bo48b2o70b3o11b2o14bobo25b
3ob2o21b2o$115bo29bobo13b2obobo70bo12b2obo13bo26bo40bo$115b2o29b2o14bo
bo38bo46bo2bo12b2o9bo17b3ob2o33bobo$146bo15bob2o36bobo46b2o23bo20bob2o
4b3o4bo21bobo$159b2obo9b2o31bo70b3o26b2o6bo6bobo10b2ob3o$159bo2b4o7b2o
18bob2o5bo2bo99bob3o4bo6b2o16bo$147bo12b2o3bo6bo18b3ob2o6bob2o100b2o5b
2o5bo11b2ob3o$29bo118b2o12b3o25bo14b3o44b2obo50bobob3obo18b2obo$29b3o
53bobo6bo52b2o13bo4b3o21b3ob2o5b2ob2o45b2ob3o55bo$32bo52b2o5b3o65bobo
4b4o22b2o2bo4b2o2bo51bo48b2o3bo$31b2o53bo4bo68b2o4bo2bob2o23bobo4b3o
46b2ob3o50bobo4b2o$91b2o8bo64bob2ob2o19bob2obobo4bo48bobo59b2o$27b2o
71bobo63bo4bo20b2obo2bo16b2o36bobo$26bo2bo58b3o9bobo2b2o3bo57bo2bo23bo
19bo38bo63bo13bo$26bob3o5b2o50bobo8b2ob2o2bo2bobo56b3o24b2o16bobo96b2o
4b3o10b3o$25b2o3bo4b3o49bo3bo11bobo3bobo12b2o50b2o15b2o2bobo13b2o93b2o
2b2o7bo8bobobo$24bo3b4o4bobo48bo3bo7b2obo2b4obo13bo52bo14bo2bo2b2o57bo
bo47bobo10b2o8bo2b2o$25b3o3bo3b4o48bo3bo2bo4b2obobo3bo13bobo49b3o16b2o
62b2o48bo20b2o3b3o$28b3ob6ob2o47bo4bobo7bobo3bo12b2o50bo83bo47b2o19bo
4b3ob2o3b2o$27bo2bo6bobo2bo3b2o46b3o7bobo3bo20b2o12bobo27b2o144b2o3b3o
2bobob2o3bo2bo$27b2o8bo2bobo3b2o48b2o7bo3b2o20bobo2b2o8b2o28bo144b2o4b
o4b2ob2obo2b2o$31bo7bo2bo18b2o28bo3b2o31bo4bo3bo8bo29bob2o47b2o99b2o2b
2o2bob3o$32bo6b2o20bo30bo35b5ob3o36b2ob2obo46bobo101bo6bo3b2o$36b3o8b
2o10bobo29b2o39bobo34bo3bobo52bo101bo2bo4b3o2bo$34bo3bo8bo7b2o2b2o30bo
27bo8b3obobo32bobo5bo155b2o5bo3b2o$48b3o4b2o61b3o6bo2bob2o34b2o5b2o77b
obo75bo6b2obo$35b3o12bo30b2o34bo2b2o5b2o125b2o83bo2bo$80bo2bo33b5o29bo
60b2o41bo84b2o$52b2o25bob2o36b3o30bo17bo25b2o14b2o$52b2o5b3o17bo40b2o
28b3o18bo25bo138b2o$59b3o16b2o39bobobo45b3o22b3o36b2o46b3o52bo$55bo3b
2o53b2o3bob2o71bo39bo48bo53b3o$32bob2o17b2ob2ob2o31b2o26b2o112bobo45bo
56bo$30b3ob2o10b2o5b2o2b2o34bo55b2o84b2o$29bo16bobo4b3o3bo3bo27bo16b2o
34b2o3bo$30b3ob2o10bo8bo8bo26b2o16bo34bobo3b3o$32bobo26bobo4b2obo34b3o
33bobob4o2bo$32bobo27bo5b2ob3o5b2o25bo35b2o5bo50b2o$33bo40bo5b2o66bo
34bo17bo8b3o22bo$45b2o21b2ob3o5bo44bobo21b2o34b2o15bobo8bo22bobo14bo
42bo$44bobo7bo14bobo52b2o57b2o17b2o7b3o21b2o15b3o38b3o$44bo8bobo13bobo
53bo43bo85bo17b2o2bobo12bo16b2o$43b2o4b2obobo15bo96bobo77bo6b2o16b3obo
3bo11b2o16bo$48bobobobobo111b2o76b2o23b2o6bo28bo6bo$48bo4bob2o5bo183bo
bo23bob5o29b2o5bobo$49b3obo8b3o125bo82b4o38b2o$51bobo11bo125b2o6b2o74b
o46b2o$52bo11b2o124b2o8bo31bo89bo$200bobo16bo12bobo84b2obo$60b2o61bo
77b2o14b3o12b2o8b2o7bo66bo2bo$59bo2bo58b3o48bobo41bo24bo2bo4b5o49b3o
13b2o$59bob2o57bo52b2o16bobo22b2o24b2o4b3ob2o48b2ob2o$58b2o60b2o8bo42b
o18b2o19bo35bo2b2o13b2o33bo2b2o$57bo3b2o54bo11bobo60bo19bobo13bo21b3o
14bo13bo21b2o$58b3o2bo53bo11bobo2b2o3bo71bo2bo11b2o11b2o10bo6b2obo6b3o
9bobo24b2o$61b2obo5bo57b2ob2o2bo2bobo71b2o13b2o11bo17b2ob3o6bo11b2o23b
2o$60bo2bo5bobo7b2o51bobo3bobo12b2o82b3o24bo26b2o3bo$60b2o7b2o3bobo2b
2o35bobob3o5b2obo2b4obo13bo83bo20b2ob3o27bo3bobo$76bo17b2o20bobob2o6b
2obobo3bo13bobo105bobo16b2o12bo3bobo$72bo21bo26bo10bobo3bo12b2o16bo89b
obo15bobo13bo3bobob2o$72bobo5b2o10bobo31b2o5bobo3bo29b3o76b2o10bo16bo
13bob4o2bob2o$69bo4b3o3bo7b2o2b2o8bo19bo4bo6bo3b2o32bo76bo26b2o12bobo
3bobo$69b3o3bobo3b3o4b2o12bobo19bo2bo31b2o10b2o73b3o41bobo2bo2b2ob2o$
72bo2bobo5bo18b2o17bo2b3o33bo29bo55bo44bo3b2o2bobo$70bobo49bo24b3o10bo
bo28b2o106bobo10b2o$70b3o48bo24bo2bo11b2o27b2o108bo11b2o$149bo34b2o12b
o$88bobo19b2o34b3o30b3o2b2o12bo$87bobobo17bo2bo63bo4bo$65bob2o17b2o20b
ob2o69bo19b2o$63b3ob2o15bo2bo5bo14bo67bo3bo$62bo21bo6b2obo12b2o69bo$
63b3ob2o14b2o9bo55bo$65bobo19b2o5bo6b2obo16b2o27b2o$65bobo18bo2bo11b2o
b3o15bo26b2o$66bo19bo20bo12bo16b2o36b2o$78b2o21b2ob3o13b2o16bo36bo$77b
obo6bobo13bobo4b2o24b3o38b3o$77bo6bo2b2o13bobo3bobo24bo42bo$76b2o5bo3b
o15bo6bo$82bob2obobo63bo$81bo4bob2o62bo33b3o$82b3obo65b3o33bo11bo$84bo
bo100bo4b3o5b2o$62bo22bo108bo4bobo$61bobo27bo101bo$59b3obo27b3o86b2o$
58bo4bob2o27bo84bobo$58bobobobobo26b2o86bo$53b2o4b2obobo15bo134b2o$54b
o8bobo13bobo7b2o124bo$54bobo7bo14bobo6bo2bo121bobo$55b2o21b2ob3o4bob2o
106b2o13b2ob2obo$43bo40bo2b2o108bobo16bob2o$42bobo27b2o4b2ob3o2bo3b2o
107bo16bo15b2o$42bobo26bo2bo3b2obo5b3o2bo122b2o14b2o$40b3ob2o20b3obobo
bo15b2obo5bo114bo18bo$39bo25b6o2bo15bo2bo5bobo7b2o104b3o$40b3ob2o8bo
10b6o18b2o7b2o8b2o107bo$42bob2o8bobo9bo2bo53b2o91b2o$54b2o11bo35bo19bo
$67bo2bo29b2o7b2o10bobo$97b2obo3bo4bo7b2o2b2o86bo$69b2o26b2obo9b3o4b2o
11bobo31b2o42b3o$103bo8bo17b2o33b2o33b2o5bo2b2o$46b3o11bo37b2o3bo27bo
32bo5b2o5b3o20bobo4bo$45bo2b2o8b3o4b2o31b2o2bo68b2o6bo22bo5bo$46bo3bo
6bo7b2o2b2o29b2o15b2o51bo7bo23b3o7bo$47b3o7b2o10bobo44b2obo38bo41b2o3b
o4bobo$48bo22bo44bobo39b2o39bo2b4o5b2o$71b2o21bob2o59bobo39b2obo$37b2o
13b2o2b2o34b3ob2o23b3o78bob2o$37bo2bo3b2o7bo2b2o33bo20bobo6bo2bo77bobo
$38b2obo4bo3bo2bo38b3ob2o14b2o8bobo76b2obobo$35b3o2bo3b2o5b2o41bobo16b
o2b2o5bo6b2obo42bo28b2o$34bo3b2o6bo47bobo20bo12b2ob3o40b2o$35b2o8bo49b
o40bo38bobo17bo58b2o$36bob2o5bobo59b2o21b2ob3o59b3o56bobo$36bo2bo5b2o
59bobo7bo14bobo64bo55bo$37b2o55bo11bo8bobo13bobo63b2o14b2o$27bo65b2o
10b2o4b2obobo15bo80b2o$26bobo12b2o50bobo14bobobobobo57b2o$24b3obo13bo
67bo4bob2o57bo113b2o$23bo4bob2o7b3o69b3obo58bobo113bo$23bobobobobo7bo
73bobo58b2ob2obo90bo6b2o3b2o7bo$18b2o4b2obobo15bo68bo27b2o33bob2o89bob
o5b2o3b2o6b4o$19bo8bobo13bobo94bobo33bo93bo23bo$19bobo7bo14bobo96bo4b
2o5b2o19b2o113b3o2bo$20b2o21b2ob3o98bobo6b2o17bo29b2o84bo2b2o$8bo40bo
75b2o22bo5bo19b3o26b3o26bo58b2o$7bobo33b2ob3o76bo52bo15b2o8bo2bo26b2o
43bo13bo$7bobo12bo8bob4o6b2obo36bo35b2o5bo8b3o39b2o14bo2bo2b2o3b2ob2o
24b2o42b2ob2o10bo$5b3ob2o11bobo5bo7bo44b3o33bobob4o2bo7bo56b2o2bobo3b
2ob2o5b2o61b2o14b3o$4bo17b2o5bob3o3bobo28b2o16bo18b2o14bobo3b3o6bo59b
2o5b2ob2o6bobo59bobo3bo12bo$5b3ob2o18bo3b2obob2o28bo16b2o11b2o5b3ob2o
10b2o3bo69bo7bo11bo38bo9b2o$7bob2o19b2obobo2b2obo28bo27b2o6b2ob3o14b2o
65b2obo2bo5b3o8b2o36bobo9bo14bo$31b3obobo3bo27b2o34b3ob2o50b2o30bob2ob
obo5bo47bobo6b3o12b3o$34bo2b2obo23bo41b2o53bobo33bobo53b2ob3o4bo14b2o$
27b2o10bo15b2o8b2o96bo30b2o2bo60bo23b2o$16bo10b2o27bo7b2o97b3o26b3ob2o
55b2ob3o6bo$16bo39bob2o101b2o3bo24bo61b2obo7bobo2b2o33bo$17bo7bo31bo2b
o16b2o81bo2b4o7bo17b3ob2o62b2obobo2bobo11bo2bo16b3o$23b3o4b2o26b2o16bo
2b2o23b2o54b2obo9b3o18bob2o63bobo2b2o17bo15bo$10b3o9bo7b2o2b2o39b3o2bo
23bo2bob2o52bob2o5bo2bo84bo2b2obo17bo8bo7b2o$9bo3bo8b2o10bobo38bo4bo
24b3obobo51bobo6b2o30b2o54b3o3bo2bo4bo10b3o6bo$8bo5bo21bo38b5o29bobo
50b2obobo5bo28bo4bo55b4obobob2o13bo4b3o$b2o4bo3bo3bo20b2o38b2o27b5ob3o
52b2o7b2o30bo30bo5b2o16bo4bobo3b2o34b2o$o2bo2bo3bobo2bo5b2o82bo4bo3bo
5bo52b4o61b3o3b2o3b2o10bo2b2o2bo41bo$b2o2bo5bo3bo5b2o59bo3b2o20bobo2b
2o5b2o34bo15bo2bo26bo2bo6b2o27bo6bob2o10b3ob2o42bob2o$3b2ob2o6bo66bobo
3bo20b2o9bobo4bo6b2o21b3o15bo28b3o6bo2bo24b2o6bo2bo50b2o4b3o2bo$b2o2bo
3bo3bo66bobo3bo12b2o25b2o4bobo24bo54b2o33b3o10b3ob2o34b2o3bo3b2o$o2b2o
5b3o63b2obobo3bo13bobo23bobo6bo23b2o13bobo69b2o14bo2bob2o39b4o$2o74b2o
bo2b4obo13bo35b2o35b2o15b2o48b2o2b2o2b2o9bobo30b2o15bo$bob2o75bobo3bob
o12b2o34bo53b2o48b2o6bo2bo5bo2bo30bobo12b3o$bo2bo71b2ob2o2bo2bobo46bob
o24bo25bo61b2o5bob2o9bo21bo13bo$2b2o73bobo2b2o3bo47b2ob2obo20bo23bobo
69bo2b3o7bo19b2o14b5o$65b2o10bobo58bob2o45b2o70b2o3bo2bo3b2o13b2o23bo$
6b2o57b2o11bo59bo123b2o7bobo8b2o3bo21bo$7bo54bo74b2o68bo34b2o15b2obo3b
o2bo2bo9bo2bo23b2o$4b3o54b2o73bo69bobo33bo16bo2bo8b2obo9b3o$4bo56bobo
72b3o67bobo31bobo17b2o5b2o2bob3o11bo$139bo67bo28b2o2b2o24b5o3bo11b2o$
138b2o15b2o51b3o25b2o18b2o9bob2ob3o$154bo2bo2b2o48bo45bo6b2o5b2o$155b
2o2bobo13b2o80b3o2bobo$90b2o65b2o16bobo62b2o17bo2bo10bobo12bobo$90bo
66bo19bo38bo23b2o17bob2o11bo13b2o$48bo35b2o5bo30b2o30b2obo2bo16b2o36bo
bo42bo13b4o11bo$48b3o15b2o16bobob4o2bo27bobo29bob2obobo53bobo20b2o18bo
bo15bobo17b2o$33b2o16bo13b5o16bobo3b3o29bo33bobo53b2ob3o5b3o10b2o18b2o
16bobo10b2o5bobo$26bo6bo16b2o13bo4bo15b2o3bo5b3o24b3o28b2o2bo60bo4bo
12bobo36bo11b2o7bo$27b2o6bo29b3o2bo20b2o6bo22b2o3bo25b3ob2o55b2ob3o6bo
11b3o3bo33b3o17b2o$26b2o6b2o30bo2b2o27bo4b3o15bo2b4o24bo13bo47b2obo19b
obo3bobo34bo$67b2o36bo15b2obo28b3ob2o6b3o70bo3bo2bo3b2obo32bo$20b2o82b
o19bob2o27bob2o5b2obo75b2o4b2ob3o29bobob2o$21bo102bobo128bo28bobobobo$
21bob2o98b2obobo84b2o11b2o21b2ob3o26b2obobobobo2bo$22bo2bo101b2o83bo2b
o9bobo7bo14bobo28bo2bo2b2ob4o$23b2o14b2o28b2o91b2obo33bo13bobo9bo8bobo
13bobo30b2o4bo$38b3o28bo2bob2o41bo31b2o11b2obo33b3o12bo9b2o4b2obobo15b
o37bobo$38bo2bo28b3obobo40b3o14b3o13bo12bobo7b2o27bo3b2o21bobobobobo
52b2o$39b2o19bobo11bobo43bo13bo2bo6bo5bobo20bo2bo24b2o3b2o21bo4bob2o$
35b2o26bo6b5ob3o40b2o3bobo5bo12b2o4b2o22b2o33b3o17b3obo$35b2o23bo2bo6b
o4bo3bo43bo3bo4bo5bo5b2o64bob2o18bobo$47bo3b2o7bobo10bobo2b2o42bo3b2ob
o2bo4bo64b2o4b2o11b2o10bo$46bobo3bo20b2o46b2obobobobo4bo66b2o10bo4bo2b
o$45bobo3bo12b2o56bobo6bo39b3o39bo4bob2o$41b2obobo3bo13bobo59b2o2bo40b
o34bo12bo2b3o$41b2obo2b4obo13bo59bo45bo33bobob2o8b2o3bo$45b2o4bobo12b
2o58bobo94b2o$40bob3o3bo2bobo73bo40bo34b2o15b2obo$40b2o4b3o3bo114bobo
33bo16bo2bo$30b2o11b3o15b2obob2o99bobo31bobo17b2o$30b2o7bob2o3bo7bob2o
bo2bob2o2bo3b2o42b2o50bo28b2o2b2o9bo$39b2obo2b2o7b2obob2obo4bobo3bo7b
2o32bo2bo2b2o46b3o25b2o11b2o5b2o$62b5obo4bobo6b2o32b2o2bobo13b2o33bo
39b2o4bo$58b2obo4bo7b2o5bo36b2o16bobo79b3o$58b2obobo3bo50bo19bo38bo42b
o$62bobo3bo46b2obo2bo16b2o36bobo$63bo3b2o46bob2obobo53bobo18b3o$84bo
34bobo53b2ob3o14b2ob2o$83bobo30b2o2bo60bo13b2o$84bo29b3ob2o55b2ob3o13b
3o4b2o$59bobo51bo53bo7b2obo14b2o6bobo$55b2o7b3o47b3ob2o48bo23b2o9b2o$
55bobo4b2o2bo49bob2o46b3o27b2o12b2obo$40b2o18b4ob2o57bo70bobo12b2ob3o$
39bo2bo5b2o12b3o60b2o89bo$38bob2o7b2o33b2o38bo47bo14b2o7bo13b2ob3o$38b
o9bo35b2o74bo9bo2bo12bobo8bo13bobo$37b2o83bobo35b3o6b2o2bo12bo8bobo13b
obo$32b2o89b2o9b2o27bo4bo16b2o5bobobo15bo$33bo17b2o21bobo57bo2bo24b2o
8b2o17b4obobo$31bo20bo21b2o8b2o50b2o28bob2o4bo15bo4bob2o$31b5o14bo15b
2o7bo8b2o84bo3bo16b3obo$36bo13b2o13bobo45b2o48b2o6b3o8b2o9bobo$33b3o
12bobo2bo11bo47b2o48b2o15bo2bo10bo$32bo15b2o2b2o10b2o113bob2o$32b4o
131bobo5bo4bo2b3o$30b2o3bo3b2o126b2o7bo4b2o3bo$29bo2b3o4b2o45b2o49bo
36bobo7b2o$29b2obo21bo26b2obo2bo41bo6b2o26b2o10b2o3b2obo$32bo21b3o21bo
bobob2o42bobo5bobo25bo12bo3bo2bo$32b2o23bo19bob2obobo43bobo31bobo10b3o
4b2o$56b2o19bo3bo2bo44bo28b2o2b2o$76b2o3bobo46b3o25b2o18b2o$40b2o40bo
49bo45bo$41bo137b3o$38b3o12b2o110b3o13bo$38bo14bobo109b3o$53bo109b2obo
$66b2o95b3o$59b2o5bobo95b2o2b3o$59bobo6bo99b3o$61bo6b2o88bo2bo6b2o$59b
o98b2obo4bo$55bo102b3o5bo7bo$54bobobo112b6o$54bob4o112bo4bo$51b2obobo
3bo2bo84b2o21b2ob3o$51bo2bo2b2ob4o83bobo7bo14bobo$53b2o4bo87bo8bobo13b
obo$59bobo84b2o4b2obobo15bo$60b2o89bobobobobo$151bo4bobobo$152b3obobob
o$154b2o3bo!

Code: Select all

#C Period-61 crab gun by Entity Valkyrie, July 1, 2024
#C Based on a synthesis by Evin, iNoMed, and Goldtiger997
x = 326, y = 265, rule = B3/S23
121bob2o$121b2obo2$119b5o4b2o$118bo4bo5bo$117bo2bo8bob2ob2o$114bo2bob
2o9bobobo2bo$72bo40bobobo5bo7bo4b2o81bo$71bobo40bo2bo4bobo93bobo$72bo
44b2o2bo2bo14b2o78bo$122b2o15bo8bo$70b5o62bobo7bobo61b2o4b5o$69bo4bo
12b2o48b2o8bob3o59bo5bo4bo$68bo2bo15b2o55b2obo4bo52b2ob2obo8bo2bo$65bo
2bob2o72bobobobobo50bo2bobobo9b2obo2bo$64bobobo5bo53b3o15bobob2o4b2o
45b2o4bo7bo5bobobo$65bo2bo4bobo18b2o32bo2bo13bobo8bo59bobo4bo2bo$68b2o
2bo2bo17bo2bo31bobo15bo7bobo43b2o14bo2bo2b2o$73b2o18b2obo37b2o18b2o36b
o8bo10b2ob4o$83b2o11b2o35bobo55bobo7bobo5b2obob3o$82bob2o7b2o3bo25bo8b
o3bo7b2o42b3obo8b2o5bo2bo$82bob2o6bo2b3o26bobo7b4obo5b2o2b2o37bo4bob2o
15bo3bo$68bo14bo7bob2o23b2o4b2o2b2o5bob4o7bobo37bobobobobo9b2obo$68b3o
21bo2bo22b2o8b2o7bo3bo8bo32b2o4b2obobo12bo7bo$71bo14bo7b2o43bobo42bo8b
obo11b3o2bo2bo$70bobo12bobo51b2o43bobo7bo12bo2b2ob3o$70b2o11b2obo41bo
15bobo38b2o19b2ob2o$84b2o41bobo13bo2bo59bo$70b2o11bo15bo23b2obobo15b3o
52b2o8bo$70bo26b3o22bobobobobo57bo9bo2bo7bo$72bo23bo25bo4bob2o55b2o9bo
7bo2bo12b2o$71b2o3b2o18b2o3b2o20b3obo8b2o49b2o8bo8b2o13b2o$15bo61bo23b
o23bobo7bobo25bo36bo$14bobo57b3o26bo22bo8bo15b2o11b2o30b2ob2o$15bo58bo
15bo11b2o30b2o14bo2bo2b2o5b2o26b3ob2o2bo12bo$88b2o60bobo4bo2bo30bo2bo
2b3o11bobo$13b5o4b2o63bob2o11b2o33b2o4bo7bo5bobobo29bo7bo12bobob2o$12b
o4bo5bo62bobo12bobo33bo2bobobo9b2obo2bo36bob2o9bobobobobo$11bo2bo8bob
2ob2o48b2o7bo14bo36b2ob2obo8bo2bo32bo3bo15b2obo4bo$8bo2bob2o9bobobo2bo
46bo2bo21b3o39bo5bo4bo37bo2bo5b2o8bob3o$7bobobo5bo7bo4b2o47b2obo7bo14b
o39b2o4b5o3bob2o27b3obob2o5bobo7bobo$8bo2bo4bobo57b3o2bo6b2obo64b4ob2o
25b4ob2o10bo8bo$11b2o2bo2bo14b2o40bo3b2o7b2obo61b2obo26b2o2bo2bo14b2o$
16b2o3b3o9bo8bo33b2o11b2o63bobobob5o15bo2bo4bobo$21b3o7bobo7bobo33bob
2o18b2o53bo2b2obo4bo13bobobo5bo7bo4b2o$19b2o2b2o6b2o8bob3o31bo2bo17bo
2bo2b2o42b2ob2obo8b2obo13bo2bob2o9bobobo2bo$18bo2bo3b2o11b2obo4bo31b2o
18bobo4bo2bo37bo2bobobo9b2obo2bo13bo2bo8bob2ob2o$18bo6b2o11bobobobobo
52bo5bobobo36b2o4bo7bo5bobobo13bo4bo5bo$18bo6b2o13bobob2o4b2o30b2o18b
2obo2bo50bobo4bo2bo15b5o4b2o$20b5o14bobo8bo9b2ob2o18bo18bo2bo37b2o14bo
2bo2b2o$20b2obo16bo7bobo10bobo13b2ob3o16bo4bo30bo8bo8b2obo3b2o25bo$26b
2o20b2o6b2obo5bob2o9bobo2b3o5bobo5b5o30bobo7bobo4b2obobo16bobo10bobo$
26b2o27bobob2o3b2obobo7bo3bo3bo6b2o38b3obo8b2o4bob3o20bo10bo$45bo8bo6b
obo6bo7b3ob3o7bo8bo29bo4bob2o12bo19bo3bo$16bobo8b2o4b2o11b2o6b7o3b7o9b
obo17bobo28bobobobobo36bo$12b2o4bo9b2o4b2o9b2o29b3obobo18bo30b2obobo
11b6o18bo2bo$12b2o42b3o7b3o6bo2bob2o54bobo11bo2bo4b2o14b3o$35b2o18bo2b
o3bo3bo2bo5b2o60bo13b2o4bobo$35b2o18b2o4bobo4b2o88bo4b2o$22bo16bob2o
18bobo98bobo$21bobo14b5o19bo38bo25b2o23bo11bo$17b2obobo13b2o6bo57bo24b
2o11bo10bobo$16bobobobobo11b2o6bo36bo18b3o36bobo10bo$16bo4bob2o11b2o3b
o2bo34b2obo57bo$17b3obo8b2o6b2o2b2o25b2o9bob2o13b2o$19bobo7bobo7b3o27b
2o11bo9b2o3bo36bo28b2o$20bo8bo9b3o3b2o45bobo3b3o7bo24bobo4b2o13bo7bobo
$28b2o14bo2bo2b2o7bo30bobob4o2bo5bobo24b2o4bo2bo11bobo8bo$44bobo4bo2bo
3bobo29b2o5bo9b2o29b6o11bobob2o4b2o$31b2o4bo7bo5bobobo2bobo20b2o13bo
56bobobobobo$31bo2bobobo9b2obo2bo5bo16bo3b2o13b2o42bo12b2obo4bo$33b2ob
2obo8bo2bo8bo6b2o7bobo58b3obo4b2o8bob3o$39bo5bo4bo6b2o8bobo5bobo58bobo
b2o4bobo7bobo$39b2o4b5o5bo3bo2bo6bo5bo55b2o3bob2o8bo8bo$54bob2o2b2o7b
2o3b2o50b2o2bo2bo14b2o$44bob2o6bo9b2o57bo2bo4bobo$44b2obo4bob2o8bo50bo
bo4bobobo5bo7bo4b2o$51bobo11b3o48b2o5bo2bob2o9bobobo2bo$51bo2b2o5b2o4b
o48bo9bob2o8bob2ob2o$48b2ob2obo3b2o2bo64bo4bo5bo$48bobo3bo4bobo66b5o4b
2o$51b3o4bo2b2o11bo47bo$58bobo11b3o48b2o5bo44b2o$51b2obo4bob2o8bo50b2o
5bobo43b3o$51bob2o6bo9b2o57bo44b3o$61bob2o2b2o7b2o3b2o21b2o68bob2o$46b
2o4b5o5bo3bo2bo6bo5bo21bo69b3o$46bo5bo4bo6b2o8bobo5bobo17bobo70bo124bo
$40b2ob2obo8bo2bo8bo6b2o7bobo16b2o195bobo$38bo2bobobo9b2obo2bo5bo16bo
3b2o21b2o187bo$38b2o4bo7bo5bobobo2bobo20b2o8bobo10bobo2b2o$51bobo4bo2b
o3bobo30bo2bo6bo4bo3bo14bo165b5o$35b2o14bo2bo2b2o7bo34bo6b5ob3o13bobo
151b2o12bo4bo$27bo8bo9b3o3b2o44bobo11bobo16b2o151b2o15bo2bo$26bobo7bob
o7b3o27b2o11bo18b3obobo186b2obo2bo$24b3obo8b2o6b2o2b2o25b2o9bob2o16bo
2bob2o10bo2bo170bo5bobobo$23bo4bob2o11b2o3bo2bo34b2obo17b2o15bo2bo10bo
138b2o18bobo4bo2bo$23bobobobobo11b2o6bo36bo34b4ob2o9bo136bo2bo13b2o2bo
2bo2b2o$24b2obobo13b2o6bo75bo2bo6b3o136bob2o18b2o$28bobo14b5o19bo58bob
o144b2o13b2o3bo$29bo16bob2o18bobo58bo144bo3b2o10bo3b3o$42b2o18b2o4bobo
4b2o28b2o168b3o2bo11b2o$42b2o18bo2bo3bo3bo2bo27bo2b2o169b2obo10b2o2b3o
5bo$19b2o42b3o7b3o27b3o2bo20b2o146bo2bo9bo2b2obo5b3o$19b2o4bo9b2o4b2o
9b2o34b2o13bo4bo15b2o3bo147b2o16bo5bo$23bobo8b2o4b2o11b2o6b7o3b7o11bo
13b5o16bobo3b3o155b2obobobo4bobo$52bo8bo6bobo6bo8b3o15b2o16bobob4o2bo
13bo139b2ob2ob3o6b2o$33b2o27bobob2o3b2obobo9bo35b2o5bo17b2o136bo3bo3bo
$33b2o20b2o6b2obo5bob2o37b2o13bo17b2o125bo10bo3bo12b2o$27b2obo16bo7bob
o10bobo38bo3b2o13b2o143b3o9bobo14bo$27b5o14bobo8bo9b2ob2o36bobo165bo
23bo$25bo6b2o13bobob2o4b2o48bobo33bobo124b2o3b2o18b2o3b2o$25bo6b2o11bo
bobobobo53bo36b2o6bobo20bobo93bo23bo$25bo2bo3b2o10bobobo4bo52b2o36bo8b
2o19bo94bo14bobo9b3o$26b2o2b2o6b2o4bobobob3o100bo20bo3bo90b2o12bo3bo
10bo$28b3o7bobo4bo3bo6b2o116bo103bo3bo3bo$23b2o3b3o9bo9b5o2bo116bo2bo
91b2o6b3ob2ob2o$18b2o2bo2bo14b2o13b2o117b3o92bobo4bobobob2o$15bo2bo4bo
bo24b5o4b2o209bo5bo16b2o$14bobobo5bo7bo4b2o10bo4bo5bo206b3o5bob2o2bo9b
o2bo$15bo2bob2o9bobobo2bo9bo2bo8bob2ob2o200bo5b3o2b2o10bob2o$18bo2bo8b
ob2ob2o8bo2bob2o9bobobo2bo93bo115b2o11bo2b3o$19bo4bo5bo13bobobo5bo7bo
4b2o94bo111b3o3bo10b2o3bo$20b5o4b2o14bo2bo4bobo105b3o112bo3b2o13b2o$
48b2o2bo2bo14b2o200b2o18b2obo$22bo30b2o15bo8bo187b2o2bo2bo2b2o7bo5bo2b
o$21bobo44bobo7bobo79bo103bo2bo4bobo9b2o7b2o$22bo45b2o8bob3o75bobo8bo
93bobobo5bo11b2o$75b2obo4bo52b2o21b2o6bobo94bo2bob2o18b2o$75bobobobobo
53bo30b2o97bo2bo18bo$77bobob2o4b2o48bobo128bo4bo16b3o$76bobo8bo9b2ob2o
36bobo128b5o18bo$57b2o18bo7bobo10bobo38bo3b2o13b2o$56bo2bo3bo21b2o6b2o
bo5bob2o37b2o13bo112bo14bo$56bo2bo2bo2bo26bobob2o3b2obobo9bo35b2o5bo
110bobo12bobo$56bobo3bobo26bo6bobo6bo8b3o33bobob4o2bo108bo14bo$61bobo
10bo16b7o3b7o11bo22b2ob2o7bobo3b3o100bo$49b2o11bo10bobo42b2o11b2o9bo4b
2o5b2o3bo5bo10bobo82bo3bo18b5o4b2o$49b2o21bobo3bobo12b3o7b3o25b2o7b2o
17b2o4b2o5b3o2b2o20b5o26b2o28bo22bo4bo5bo$71bo2bo2bo2bo11bo2bo3bo3bo2b
o15b3o15b2obo4bo15bobo7bo2bo21bo4bo24b2ob3o25bo4bo16bo2bo8bob2ob2o$73b
o3bo2bo11b2o4bobo4b2o13b2o18b2obo2b2o25bo25bo30b5o25b5o14bo2bob2o9bobo
bo2bo$59bo18b2o9bo7b2ob2o18b2obob2o16bo2bo53bo3bo26b3o44bobobo5bo7bo4b
2o$32bo25bobo29bo6b2ob2o18b4o2bo75bo76bo2bo4bobo$31bobo20b2obobo28b3o
7bobo20bo4bo155b2o2bo2bo14b2o$32bo20bobobobobo35b2ob2o20b4o142bo18b2o
5bo9bo8bo$53bo4bob2o34bo5bo13bobo3b2o13b2o33b2o13b2o78bobo24bo7bobo7bo
bo$30b5o4b2o13b3obo8b2o26b2o5bo3b2o8b2o19bo2bob2o27bobo13bobo78bo33b2o
8bob3o$29bo4bo5bo15bobo7bobo25bo8bo2b2o9bo20b3obobo28bo13bo109bo11b2ob
o4bo$28bo2bo8bob2ob2o10bo8bo15b2o11bo2bobo2bo38bobo21b3o7bo70bo18b5o
26bo11bobobobobo$25bo2bob2o9bobobo2bo16b2o14bo2bo2b2o7b2o3b2o35b5ob3o
21bo7b2o69b3o16bo4bo23b3obo11bobob2o$24bobobo5bo7bo4b2o32bobo4bo2bo46b
o4bo3bo19bo7bobo72bo4b2o11b2o2bo9b2o10b5obo9bobo$25bo2bo4bobo32b2o4bo
7bo5bobobo25b2o21bobo2b2o101b2o3bobo13bobo2bo5b2o6bobo2b2ob3o11bo$28b
2o2bo2bo5b2o7b2o16bo2bobobo9b2obo2bo22bo3b2o21b2o113bo9bo3bobobobo6bo
6b2o6bo$33b2o6b2o7bo8bo10b2ob2obo8bo2bo8b2o5b2o7bobo16b2o23b2o7b3o14bo
61b2o18bo6bo2bo15bo$40b2obo4bobo7bobo15bo5bo4bo8bo2bo4bobo5bobo17bobo
23b2o8bo13b2o60bo2bo18bobo2b2o23bo23b2o$39bo3b2o3b2o8bob3o13b2o4b5o5b
2o3bobo6bo5bo21bo22bo9bo14bobo59bob2o10b2o7bo27bobo10bo11b2o$39bob3o
11b2obo4bo23b3obobo4bo7b2o3b2o13bo7b2o107b2o12bobo36bo10bobo$39bo5bo9b
obobobobo18b4o3bobo9b2o14b2o5b3o115bo3b2o10bo6bo42bo$40b4ob2o10bobob2o
4b2o13bo2b2obo2b2o8bo16bo4bo119b3o2bo16bo47bo$35b2o3bobobo11bobo8bo9b
2ob2o7b2o11b3o13bobo3bo121b2obo14bo7bo11b2o20bo6b2o$35bobo19bo7bobo10b
obo10b2o11bo14bobo3bo12b2o17bo45bo41bo2bo15b2o4b3o10bobo7bo11b3ob2o2bo
bo$36bo28b2o6b2obo5bob2o5bo28bo3b2o12bo18b2o43b2o41b2o7bo14bo13bo8bobo
9bob5o$72bobob2o3b2obobo5bo3bo35b2o5bo16bobo43bobo48bobo2b5ob2o2bobo
11b2o4b2obobo11bob3o$42bo28bo6bobo6bo3b2o3b3o33bobob4o2bo8b2o101bo3b2o
b3o5b2o16bobobobobo11bo$41bobo10bo16b7o3b7o11bo34bobo3b3o9b2o6b3o4b2o
91b2o25bo4bob2o11bo$29b2o11bo10bobo42b2o11b2o10bo10b2o3bo11bo10bo4bo
73bo27b2o17b3obo8b2o$29b2o23bo18b3o7b3o25b2o11b2o13b2o20bo3bobo73b3o
26bo19bobo7bobo7bo$65bobo4bo2bo3bo3bo2bo32bobobo41b2ob2obo72bo23bo22bo
8bo9bo5b2o6b2o$60bo5b2o4b2o4bobo4b2o32bobo20b2o7b2o15bob2o66b2o3b2o18b
2o3b2o29b2o14bo2bo2b2o2bo$39bo19bobo4bo11bobo20bo39bobo8b2o14bo28b3o
39bo23bo51bobo4bobo$38bobo11bobobo3b2o17bo19b2obo40bo7bo15b2o28bo39bo
26b3o35b2o4bo7bo5bob2o$7bo26b2obobo10b2ob4o40b2obob2o62bo31bo38b2o27bo
35bo2bobobo9b2obo$6bobo24bobobobobo9bo5bo41bo66b3o77b2o56b2ob2obo8bo2b
o$7bo25bo4bob2o11b3obo37bobo19b2o50bo67b2o5b3ob2o3bo56bo5bo4bo$34b3obo
8b2o3b2o3bo28b2o29bo2bob2o44b2o67bobo2b2ob5o2bobo55b2o4b5o$5b5o4b2o20b
obo7bobo4bob2o29b2o7b2o21b3obobo113bo14bo7b2o$4bo4bo5bo21bo8bo7b2o6b2o
14b3o41bobo16b3o73b3o15b3o4b2o15bo2bo55bo$3bo2bo8bob2ob2o23b2o7b2o5bo
2bo2b2o9bo2bo36b5ob3o16bo73bo17bo7bo14bob2o55bobo$3bob2o9bobobo2bo37bo
bo4bo2bo6bo3bo35bo4bo3bo8b2o4bo75bo23bo16bo2b3o20b2o31bo$2obo5bo7bo4b
2o24b2o4bo7bo5bobobo9bo12bo3b2o20bobo2b2o7bobo14b2o88bo6bo10b2o3bo19bo
$bobo4bobo37bo2bobobo9b2obo2bo6bo3bo11bobo3bo20b2o14bo14bobo93bobo12b
2o21bo$o2b2o2bo2bo14b2o23b2ob2obo8bo2bo9bo2bo2b2o7bobo3bo12b2o40bo85bo
7b2o10b2obo9bo11b2o$2o6b2o15bo8bo21bo5bo4bo10b3o3bobo6bo4bo13bobo39b3o
13b2o63b2o2bobo18bo2bo9b3o11b2o$23bobo7bobo20b2o4b5o5b2o12bo5b2o5b3o
12bo21b2o14b2o3bo7bo4b2o60bo2bo6bo18b2o13bo8b2o2bo$23b2o8bob3o33bobo
12b2o13bo12b2o19bobo13bo2b4o5b2ob2o45b2o16bobobobo3bo33b2o9bobo$30b2ob
o4bo25bo6bo9b2o18bob2o32bo13b2obo8b2ob2o44b2o18bo2bobo27b2o3b2o7bo4bob
ob2o$30bobobobobo24bobo3bob2o8bo10b2o5b3ob2o49bob2o4b3obo5bo41bo20bo2b
2o14b2o9bo5bo6bobo3b2o$32bobob2o4b2o20bo3bobo11b3o8bo4bo55bobo8b3o3bob
o62bo4bo12b2o7bobo5bobo4bo2bo$12bo18bobo8bo9b2ob2o11bo2b2o11bo8bobo3bo
53b2obobo13bo17b2o45b5o2b2o16bobo7b2o5b2o$11b2o19bo7bobo10bobo13bobo
22bobo3bo12b2o42b2o14b3o14bo2b2o50bo12b2o3bo$11b2o27b2o6b2obo5bob2o7b
2obo23bo3b2o12bo61bo15bobo45bo4bo13b2o$10b2o5bo29bobob2o3b2obobo5bo2bo
36b2o5bo11b2o50bo11b2o2bo38b2o3bobo2bo5b2o$11b2o3bobo27bo6bobo6bo4b2o
2b3o33bobob4o2bo9b2o5b2o42b3o11bobo3bo33b2o5bo3b4obobo24b2o3bo$11b2o3b
obo10b2o15b7o3b7o11bo34bobo3b3o3bo4bo7bo46bo8b2obo3bobo34bo5b3o3bobo
26b2o2bobo$4b2o10b2o10bobo3b2o16bo3bo16b2o11b2o8bo12b2o3bo6b2o9bobo45b
2o9bo6bo44bo3b2o21b2o3b2o2bob2o$4b2o22bobo3b2o12b2o3b3o3b2o13b2ob2obo
5b2o7b2o17b2o4bobo9b2ob2obo36b2o7bo4bobo50b2o15b2o9b2o7bobo$29bo5b2o
10bo13bo13b2obo2bo13b3o37bob2o37bo6bobo3b2o5b5o4b2o53b2o14bo2bo$34b2o
11b2o11b2o13bo5bo15bo2bobo32bo40bobo4bo2bo8bo4bo5bo47b2o3bo17b3o$14bo
19b2o17b3o21bobo2b2o13b2obobo31b2o41b2o5b2o8bo2bo8bob2ob2o39b2ob2o20bo
bo8b2o$13bobo18bo10bo30b2obo3bo16b3o30bo57bo2bob2o9bobobo2bo13b2o22bo
2b2o21bo9bobo$9b2obobo31bo30bobobobo49b3o27b2o25bobobo5bo7bo4b2o13bobo
21bo3bo20bobo8bo$8bobobobobo27b3o4bo4b2o22b3o45bo7bo26b2o26bo2bo4bobo
26bo24b2obo14b2o4bobo4b2o$8bo4bob2o32b2o5bobo2bo30b2o33b3o5b2o17b2o38b
2o2bo2bo14b2o37bo8b2o5bo2bo3bo3bo2bo$9b3obo8b2o25b3o7b2obo7bobo19bo2bo
b2o27bo2b2o23bo2bo14b2o14b2o9b2o15bo8bo33b2obo2bo6b3o7b3o$11bobo7bobo
36bobo7b2o21b3obobo25b2o29b2o12b2ob2o13bobo23bobo7bobo31bobob3o$12bo8b
o15b2o22bo9bo25bobo24b2ob3o40bo2bo14bo25b2o8bob3o29bobo9b7o3b7ob2o$20b
2o14bo2bo2b2o11b3o35b5ob3o9b2o11b2o2bo41bo2bo47b2obo4bo26b3ob5o5bo6bob
o6bobobo$36bobo4bo2bo46bo4bo3bo7bobo6b2o6b3o41b2o34bo13bobobobobo25bo
3bo4bo6bobob2o3b2obobo3bo$23b2o4bo7bo5bobobo25b2o21bobo2b2o9bo6bobo3b
2o80bo15bobo29b2o2bobo10b2obo5bob2o$23bo2bobobo9b2obo2bo22bo3b2o21b2o
23bo3b2o56bo38b2o3b2o31b2o15bobo7b5o18bo$25b2ob2obo8bo2bo8b2o5b2o7bobo
50b3o13b2o26b2o15bobo20bobobo12bo2bo50b2ob2o5bo4bo16b3o$31bo5bo4bo8bo
2bo4bobo5bobo16b2o31b2o3bo12b2o20b2o3bo2bobo6b2o4bobo4b2o14b5o13bo61bo
2bo18bo$31b2o4b5o5b2o3bobo6bo5bo18bo31bo2b4o8bo22bo2bo4b2obob3o4bo2bo
3bo3bo2bo11b2o4bob2o10b3o57bo2bob2o18b2o$46bobo4bo7b2o3b2o15bo3b3o28b
2obo9bobo21bobobo7bo4bo4b3o7b3o11bo4bo2b2obobo7b2o8b2o47bobobo5bo12bo$
39bo6bo9b2o25b4o3bo30bob2o7b2o5bo16bo2bob2o4bob3o40b2o2bo5bo3b2o4b2o
10bo37bo2bo4bobo10b2o6b2o$38bobo3bob2o8bo31b3o30bobo14bobo18bo2bo5b2o
5b7o3b7o9b2o3bo5bo2b2o26b2o40b2o2bo2bo10bobo4bo2bo$39bo3bobo11b3o17b2o
4b5o32b2obobo13bo15bo4b2o13bo6bobo6bo13b2o7bobob2o2bo4bo15bobo44b2o3b
3o12b2obo$43bo2b2o11bo17bo5bo4bo35b2o14b3o12b3o18bobob2o3b2obobo13b3o
10b2obo4b2o13bo53bo18b2o$44bobo24b2ob2obo8bo2bo52bo15bo18b2obo5bob2o6b
2o7bo13b5o15bobo52bo3b2o10b2o3bo$43b2o2bo21bo2bobobo9b2obo2bo52bo11b2o
23bobo10bobo5bo2bo12bobobo16bo51b2obo2b2o9bo2b3o$46b2o21b2o4bo7bo5bobo
bo51b3o11b2o20b2ob2o9bo4b2o3b2o78bo6b2o4bo9bob2o$82bobo4bo2bo3bo51bo8b
2o2bob2o2bo26b2o7bobo15bo11b2o3b5o18bo23b3o4b3o3b2o9bo2bo$66b2o14bo2bo
2b2o6b2o49b2o9bobo3b4o31bobobobobo13bo12bo2bo4bo16b3o26bo5bo3bo12b2o$
58bo8bo15b2o10bobo44b2o12bobob3o36bo4bob2o26bobo2bo18bo28bobo5b3o$57bo
bo7bobo62bo10bo5b3o4b2o5b5o4b2o26b3obo8b2o18b2obob2o18b2o27b2o6b3o2b2o
$55b3obo8b2o61b3o9bob2obo3bo9bo4bo5bo28bobo7bobo19bobo5bo57b2obo$54bo
4bob2o67bo2b2o9bo6b2o8bo2bo8bob2ob2o23bo8bo15b2o4bobo4bobo19bo23b2o14b
2o11bo$54bobobobobo13b3o55bo23bo2bob2o9bobobo2bo29b2o14bo2bo2b2ob2o2bo
2bo18bobo22bo16bo9b3o$55b2obobo15bo2bo52b3o14bo7bobobo5bo8bo3b2o45bobo
4bobo4b2o11bo6bo2bo24bo23bo$59bobo17bo50b2ob2o11bo11bo2bo4bobo7bo37b2o
4bo7bo5bobo15b3o5bobob2o22b2o3b2o18b2o3b2o$60bo17bo42b2o5b2obo15bo3b2o
8b2o2bo2bo5bobo6b2o29bo2bobobo9b2obob2o24bo3bo27bo23bo$70b3o48bo2bo3bo
2b2o15bo3bo13b2o5bo2b2o5bo8bo23b2ob2obo8bo2bobo14bo4b2obo3b3o25b3o9bo
16bo$69b3obo49b2o4b2o11b2o5b3o21bob3o3bobo7bobo28bo5bo4bo2bo13b3o2bo4b
3o28bo11b2o14b2o$50b2o7bobo5b3o3bo8bo59b2o27b2obo2bo3b2o8bob3o26b2o4b
5o3b3o10bo5bo3b2o2bo40bob2o$50b2o3b3obobo4bo3b2obo4bobo2bo87b3o2b3o9b
2obo4bo42bo10bo5bo5b2o42b2o2b3o6b2o$55bo2bobo4bob2o3bo4bobob3o90bo3b2o
8bobobobobo30bob2o7bobo8bo60b3o5bobo$56bo8bo3b3o5bobo92b2ob2o13bobob2o
31b2obo7b2o10bo2bo41b2o12bo3bo5bo$65bob3o80bo17b2o2b2obob3o9bobo61bo
41bo2bo9b2o3b3o4b3o$66b3o17b2o44b2o15bobo10b2o4bobo19bo47b2o12bo14bo
28b2obo9bo4b2o6bo$60bo17bo7bobo42bo2bobo6b2o4bobo4b2o3b2o6bo68bo14b3o
9b3o25b3o2bo9b2o2bob2o$59bo17bobo8bo42b2obob3o4bo2bo3bo3bo2bo5bo76bo
23bo27bo3b2o10b2o3bo$59bo2bo15bobob2o4b2o44bo4bo4b3o7b3o18bo23b2o38b2o
3b2o8b2o8b2o3b2o22b2o18bo$60b3o13bobobobobo43b2o4bob3o35bobo10bo11b2o
44bo23bo24bob2o5b2o5b3o3b2o6b2o$76b2obo4bo44bo5b2o5b7o3b7o16bo10bobo
53b3o9b3o14bo22bo2bo17bo2bo2b2o2bo$69b2o8bob3o42b3o13bo6bobo6bo28bo54b
o14bo12b2o23b2o7bo10bobo4bobo$69bobo7bobo44bo16bobob2o3b2obobo98bo59bo
5bob2o$54b2o15bo8bo63b2obo5bob2o6b2o28bo62bo2bo10b2o47b2obo$49b2o2bo2b
o14b2o76bobo10bobo7bo19bobo65bo8bobo30b2o15bo2bo$46bo2bo4bobo91b2ob2o
9bo8bobo9b3obob2o2b2o51b2o5bo5bo10bo31b2o12bo4bo$45bobobo5bo7bo4b2o91b
2o4b2obobo13b2ob2o55bo2b2o3bo5bo10b3o42b5o$46bo2bob2o9bobobo2bo96bobob
obobo8b2o3bo58b3o4bo2b3o13bo$49bo2bo8bob2ob2o98bo4bob2o9b3o2b3o52b3o3b
ob2o4bo59bo$50bo4bo5bo105b3obo8b2o3bo2bob2o51bo3bo69bobo$51b5o4b2o107b
obo7bobo3b3obo54b2obobo5b3o60bo$170bo8bo5b2o2bo5b2o48bo2bo6bo11b2o$53b
o124b2o6bobo5bo2bo2b2o43bobo18bo2bo2b2o$52bobo131bo7bobo4bo2bo41bo19bo
bo4bo2bo$53bo127b2o3bo8bo5bobobo61bo5bobobo$181bo2bobobo9b2obo2bo65b2o
bo2bo$183b2ob2obo8bo2bo51b2o15bo2bo$189bo5bo4bo52b2o12bo4bo$189b2o4b5o
67b5o2$194bob2o68bob2o$194b2obo68b2obo!

Code: Select all

#C Period-84 B29 gun by Entity Valkyrie, October 10, 2024
#C Based on a synthesis by Tanner Jacobi and DroneBetter
x = 258, y = 205, rule = B3/S23
84b3o$76b2o5bo2bo2b2o$76b2o4b2ob2o2b2o47bo$82bobo46b2o5b3o$124b2o6b3o
6bo$124bo5bo4bo4b2o$125b3obob4o$82bobo42bobo4bo$76b2o4b2ob2o2b2o37bobo
bo9b3o$76b2o5bo2bo2b2o39b2o2b2o5bo3bo5b2o2bobo$84b3o39bo3b2o2b3o3bo5bo
3bobo2bo2bo$93bo6bo24bobob3o2b3o3bo9bo3bob2o$92bo7b2o3b2o18bobob3o2b3o
3bo5bo2b2ob2o$92b2o5bobo3b2o19bo3b2o2b3o4bo7bo2b2o$96bob3o29b2o2b2o6b
3o4b3o3b3o$96b3o29bobobo20b2o2bo$127bobo4bo18b2ob2o$96b3o26b3obob4o14b
2obo3bo$96bob3o23bo5bo4bo12bo2bo2bobo$87bo4b2o5bobo3b2o3b2o5b2o5b2o6b
3o14bobo2b2o$88bo3bo7b2o3b2o3b2o5b2o12b2o$86b3o4bo6bo57b2o$137b3o14b2o
2bo$95b2o42bo13bo2bobo$51b2o41b3o16bobo22bo13bob2obo$50bo2bo41b2o52b4o
2bo$49bobobo11b2o27bo15b3o3b3o29b5obo$48b3obo11bobo42bo9bo7bo21b3o3bo
71bo$48b3o15bo42b3o5b3o6b3o13bo11b3o68b3o$56b2o52bo7bo6bob2o14bo10b3o
67bo$56b2o66b2o2b2o5b2o6bo67b2o12bo$42b2o27b2o52b4o6bo76bo8b2o2bo$43bo
26bo2bo36b2o5b2o7b3o7b3o73bobo5bo$43bobo22bo2bobo36b2o5b2o19bo74b2o11b
o$44b2o26bo48bo98bo6bo$68bob2o48bob2o97bo3bob2o$69bo6b2o42bob2ob2o95b
2o2bo$76b2o40b2o2b2ob2o73bob2o11b3o$62b2o55bobo73b2o3b2o2bo10bobo$63bo
28bo26bob6o68bo2b2o3bobo16bo$63bobo5bo18b3o15bo11bo5bo69b2o3b2obo18bo$
47b3o14b2o4b3o16bo5bo13bo11b3o74b3obo12b4o2bo2bo$47bo2bo18bobob2o13bob
6o11b3o13bo72b2o2bo3bo14bo$47b2obo18bobobobo12bobo104bo2bo3b2obo10bo4b
o3bo$49bo20b6o11b2o3bob2o19bobo77b3o2bo4bo$71bo17bo4b2o20b2o80b3ob3o
11bo3bo4bo$54bo34bo2b2o22bo80bo4bo19bo$53bob2o33b2o51b2o52b2o8b2o8bo2b
o2b4o$53bo2bo16bo69b3o58b2o2bo9bo$54b3o10bo6bo9b2o18bo37bob2o49b4o2b2o
3b2o11bo$66b2o6bo10bo17b3o36b3o50bo2bobo3bobo17bobo$65bobo2b2o2bo2b3o
5bobo14bo2b2o36bo54bobo5bo17b3o$64b2o2b3o2b3o2b2o6b2o14b2o94b6obo9bo2b
2o$64b3o2bo2b2o2bobo107bo3b2o6bob5o8b2obo3bo$69bo6b2o11b2o10bobo81bobo
2bo9b4o3b2o5b3o3bo$69bo6bo12b2o11bo82bobo4bo4bo3b2o5bo8bo3bo5b2o$58b2o
10bo34b2o79bob5o3bobo6b3o10b2obo5bobo$58bobo44bo82bo6bo2bobo2bobo13b2o
8bo$60bo45b3o78bo3b2o2b2o2b6o24b2o$47b2o11b2o10bo35bo77bo3bobo7b4o11b
2o$48bo19b6o18bo29bo63b2o3bo23b2o$45b3o20bobobobo16bo21b2o8b2o4bo42bo
49b3o$45bo23b2obobo16bo21bo8b2o6bo41b3o45bob3o$71b3o4b2o35bo12b3o44bo
16bob2o23bobobo$72bo5bobo14b2o14b5o58b2o15bo2b2o2b3o18bo2bo$80bo15bo
13bo25bobo52bo6b2o20b2o$67b2o11b2o14bobo4bo7b3o23b2o10bo41b2o4b2o$68bo
28b2o3b3o9bo22bo10b2o43bo17b2o$65b3o33b2ob2o5b4o33bobo44b2o14bobo$65bo
34b3ob3o4bo3b2o96bo$101b2ob2o6b3o2bo49bobo43b2o$102b3o9bob2o24b3o10bo
10bo2bo$103bo10bo29bo9b2o10bo2bo$113b2o28bo10bobo10b2o36bo2bo$70bo10bo
106b2o15b4o$41bo28b3o7bobo105bobo$41b3o29bo6bobo22b2o83bo16b2o$44bo27b
2o7bo2bobo18bo13b2o57b2o10b2o15b2o$43b2o11b2o26bo14b2o5b3o9bobo3b2o29b
o22bo$56bo19b2o6b3o12b2o7bo11bo2bobo28b2o12b2o9b3o$54bobo18bo2bo2bo43b
o28bobo12bo11bo$54b2o19b2obo3bo86bobo$76bo5bo20b2o35b3o27b2o$77bo12bo
11bo2bo26b2o8bo$78bo12bo8bo2bobo25bobo7bo$86bo5bo11bo28bo$86bo3bob2o6b
ob2o$51bo17b2o16bo2bo2bo7bo27bo17b2o21bo$52bo15bobo11b3o6b2o36b2o16bob
o19b2o$50b2o16bo15bo43bobo16bo21bobo41bo20bo$51bo15b2o13bobo2bo7b2o
114b3o11bo7bobo$49b2o35bobo6bo114bo14b3o6bo$86bobo7b3o22b3o52bo10b2o
21b2o16bo16bo$45b2o40bo10bo24bo51b2o11bo38b2o14b3o$44bo77bo52bobo9bo5b
2o41bo5bo$44b2o138bo2b4obobo41bo5b2o$43bo140b3o3bobo41b3o$44bo142bo3b
2o6bobo2b2o27b2o$98b2o86b2o11bo2b2o28b2o$66bo30bobo3b2o71bo22bo2b2o2bo
13b2o11b2o12b2o$34bo29b3o32bo2bobo70b2o23b2o2bobo13b2o25bo$32b3o28bo
40bo40b2o28bobo67bobo$31bo31b2o80bobo97b2o$18b2o11b2o7b2o77b3o25bo4b2o
$19bo19bobo69b2o8bo21b4ob2o2bo2bo$19bobo17bo31b2o37bobo7bo22bo2bobobob
ob2o52b2o22b2o$20b2o16b2o32bo39bo33bobobobo50b2obo2bo13b2o6bobo$52b2o
18bob2o71b2obobo49bobob3o15bo6bo$52b2o7bo2b2o4b3o2bo32bo42bo16b2o21bo
10bobo4b3o9b3o6b2o$44b3o12bobo2b2o3bo3b2o33b2o58bobo19b2o8b3ob5o2bo9bo
$44b3obo11b2o7b4o34bobo27b2o18b2o9bo21bobo6bo3bo5bo$45bobobo5b2o15bo
65bo7b2o10bo40b2o2bob3ob2o$23b3o20bo2bo4bobo12b3o66bobo5b2o10bobo20b2o
21b2o2bo2bo45bo$23b3o21b2o5bo13bo31b3o29b2o5b2o18b2o21bo25bobobo42b3o$
22bo3bo26b2o14b5o28bo28bo2bo29bo17bobo24bo2bo21b2o14b2o2bo$23b2obo46bo
27bo28bobobo28bobo12bob2ob2o28bo19bobo8bo5bobo2bo$23b3o45bo57b3obo29bo
bo12b2obo22b2o4bobo20bo8b2ob2o6b2obo$7b3o61b2o56b3o32bo16bo22b2o26b2o
8b2ob2o7bo2bo$7b2o21b3o17b3o84b2o18bo23b2o35b2o21b3obo5bo2bob2o$5bob2o
20bob2o33bo10b2o58b2o16bobo25bo34bo25b3o3bobobo$b2o5bo20bo3bo15bobobo
10b3o9bobo3b2o39b2o24b2o5b2o23b3o32bobo32bo2b4o$ob3o2bo10bo11b3o16b2ob
2o9bo14bo2bobo40bo24bo30bo35b2o34b2o3bo$o5bo9b3o11b3o14b2o5b2o7b2o18bo
40bobo6b3o14b3o28bo29b3o41bo$b4o10bo31b2o2bo2bo2bo67b2o6b2o17bo18b2ob
2o2bo2bo29b3o38b2ob2o$4b2o8bobo33bobo2bobo40b3o32b2o3bo32b2obo3bo31bo
3bo37b2o$4b2o8bobo34bo2bo2bo2b2o28b2o8bo34bo2bo35bo4bo8bo66b2o$b3o11bo
28b2o8b2o3bo2bo26bobo7bo35bo2bo31b3obob3o8b3o7b2o45b2o10bo$43bobo3bo3b
o6b2o29bo19b2o23b2o32b3obobo9b2o2bo5bo2bo35b2o7b2o9bo$o33b2o7bo5bo2b2o
56bobo15bo32b2o6bo3b2o15bo4bob2o18b2o10b2o5bo18b2o$obo31bobo5b2o43bo
16b2o4bo16b3o31b2o7b2o3bo2b2o9bo5bobo17b2o2bo8bo2bo4bobo$b2o33bo50b2o
13bo2bo2b2ob4o12bobob3o38b3o2bobo5bo7b3o2bo4b3o8bo4bo9bobo5b2o$36b2o
10bo37bobo13b2obobobobo2bo13bo3bobo2bo26b2o6bo2b2o8bobo4bo3bobo3bo3bo
6bo13b2obo11b3o$22b2o23bob2o54bobobobo16bo5bobo27bo8bobo9b2o5b4obo3bo
4bo6bo4bo8b3o14bo$22b2o5b2o16bob2ob2o51bobob2o21bobob2o2bo20bo3b3o2b3o
2bo2bo16bo10bo6bo3bo9b2o5b2o7bo$13bo14b3o14b2o2b2ob2o25b3o24bo21bo2b4o
2bo21b3o5bo2bo2b3obobo12b2obo4bo4bo8b3o17b2o$12bo14bob2o15bobo32bo43bo
2b2obobo24bo12bo4bobo14bob2o3bo2b2o15b2o$12b3o4b2o5bobo17bob6o26bo18b
2o18b2o8bobo5bo7b2o11b2o10b2ob2o2bo13bobobo5b2o18bo33b2o$19bobo4bo2bo
17bo5bo45bo10b2o7bo8bo2bobo3bo8bo22bo2b2ob2o14b2o2bo25bobo31bobo$b2o
18bo5b2o19b3o46bobo10b2o5bobo12b3obobo7bobo21bo24b2o25b2o33bo$2bo9b2o
7b2o27bo46b2o18b2o17b3o8b2o22b3ob2o79bo$bo10b2o31bo47bo43bo35bob2o28bo
3bo32bo10bo$b2o41bobo14b2o29bobo14b3o16b2o76b3o32bobo9bob2o$4b2o34b2o
3bobo2b2o8bobo29bobo14bo17bo2bo19b3o53b3o32bobo9bo$b2ob2o34bo2bo2bo4bo
10bo30bo16bo16bo2bo18bo3bo38b2o8b2o38bo10b4o$2bo44bo79bo3b2o16bo3bo38b
o8bobo35b3o15bo$o3b2o41bo2bo43b3o34b2o6b2o6b2o5b2o23b2o5bo3bobo8bo23bo
bo11bo10b6obo$4o2bo33bob2o25b2o36b2o21b3o6bobo4bo4bo4bo21b2obo3bo4b2o
8b2o11b2o10bo2bo20bob2o2b2o$3bobobo6b2o19b2o2bobo26bobo22bobobo10bo32b
o4bo3bobo4bo19bo2b3ob3o26bo11bo2bo21bobo$2obo2bo28bo4bo10bo18bo22b2ob
2o7b3o20b2o11b2o3bo4bo6b2o16b2o4b3o29b3o10bo21bo$o2bo10b2o8b2o13bo10bo
bo29b2ob2o4b2o5b2o5bo23bo17b2o11bo16b2o4bo4bo14b2o11bo32bo$bob2o19bobo
9bo2bo9bo2bo13bo16bob2o4bo3bo2bo2bo24b3o20bo10bo9b2o6bo9bo13bo2bo26bo
16bo$2bo2bobo4bobo7bobo2bo4b2o16b2o14b2o15bo10bobo2bobo24bo22bo11b2o7b
2o8bo5bo15bobobo24bo2bo$3bo2b2o5bo8b2obob3o2bo32bobo12b2obob3o7bo2bo2b
o48b2o6bo4bo39bob3o23bo2bo$3o10bo11bo4bobo48bobob3o3b2o5b2o52bo4bobo3b
o18b3o20b3o24bobo$o24b5obo14b2o33bob2o3bo7b2o55bo4bo4bo19bo14b2o$29bo
15bobo10b3o21bo3b2o8b2o56b2o5b2o20bo14b2o$25b2o3bo14bo14bo22b3o70bo3bo
25bo25b2o$25bobo3bo12b2o13bo25bo6b2o62bo3bo24bobo24bo$26bo3b2o12bo48bo
63b3o25bobo13b3o6bobo$38b2o5bo44b3o25bob2o64bo15b2o6b2o$38bobob4o2bo
15b2o22b3o22b2o3b2o2bo64b3o8bo3b2o32b2o$40bobo3b3o14b2o22bo25bo2b2o3bo
bo37b2o26bo8bo2bo34bobo$40b2o3bo19bo21b2o25b2o3b2obo7b3o28bobo34bo2bo
36bo$45b2o13b2o5b2o47b3obo9bo32bo35b2o24b2o11b2o$11b2o15b2o30b2o4b2o
46b2o2bobobo8bo31b2o43bo17bo$6b2o2bo2bo14b3o34bo2bo44bo2b2obobobo25b2o
56b3o13b3o$3bo2bo4bobo14bo4b2o33bo8b2ob2o31b3o2bo4bo25b2o6bo45b3obobo
13bo$2bobobo5bo17b2o2bo13b2o6b2o5b2ob2o9bo3bo34b3ob3o32b2obo40bo2bobo
3bo$3bo2bob2o9bo12b2o13bobo5bo2bo5bo7b3o3b3o34bo3b2o33bo45bobo5bo$6bo
2bo8bobo11bo16bo5bobo2bo4b3o4b3o3b3o3b2o29b2o8b2o12bo13bobo2bo37bo2b2o
bobo$7bo4bo10b2o31bo8b3o3bo3bo8b2o37bo2bo10b2o14bo2bo42bo2b4o2bo$8b5o
5bo4bo2bob2o27b2obo10b2ob2o37b5obob2ob2o12b2o14b2o47bobob2o2bo$18b2o4b
3obobo15b2o11bo30b2o21bo2bobo5bo74bo5bobo$10bo4b5o8bobo14b2obo41bobo
22b2o3b3obo44bo29bo3bobo2bo$9bobo3b2ob2o4b5ob3o11b2o3bo42bo22b2o6bo43b
3o28bobob3o$10bo7bo5bo4bo3bo9bobob2o15b2o26b2o10bo3b2o6bo36b2o11bo31b
3o$27bobo2b2o10b3o18bo37bobo2bo8bo4bo2b2o24bo2bo11b2o31bo$27b2o15b3o
15b3o38bobo4bo4bo2bo2bo4bo12b2o10bobo10b3o40b2o$62bo17b2o8bo9bo3bob5o
3bob2ob2ob4o13b2o10b3o2b2o5b3o40bo2bo$60b2o18bo9b3o5b3o5bo6bo2bobo2bob
o31bob2o3b5o39bo2bo$60bo15bo4b3o9bo3bo7bo3b2o2b2o39bo2bo3b2o3b2o36b2o
3bo$58bobo15b3o4bo8b2o3b2o5bo3bobo6bo4bo12b2o18b2o5b5o29b2o6b2o$50bobo
5b2o19bo24b2o3bo8bo2bo12bo2bo8bo16b3o29bobo6b3o$44bobo4bo26b2o54bobo8b
3o16bo30bo$42b2obo89bob2o5b5o5b2o38b2o11b2o$4bo39b3o46bo30bo11b3o4b2o
3b2o3bo2bo50bo$4b3o30b2o5bobo3bo42bobo25bo2b2o11b2o5b5o3b2obo13b2o37b
3o$7bo19b2o8b2o5bobo3bo41b3o21b3obobob3o18b3o5b2o2b3o9bobo38bo$6b2o18b
ob2o15b2o3bo21b2ob2o40b2o2bo2b2o18b3o10bobo11bo$11bo3bo10bo2bo3b2o11b
2o17b2o5b2ob2o41bo5bo4b2o12b2o11bo2bo11b2o$10bo3bobo9bo3bo2b2o12b2o14b
2o2bo7b2o14bo4bo22b5o5bobo12bo11b2o$11bobo13bo19b2o14bo2b3o3b3o15b2obo
26b3o8bo9b3o$14b3o10bo3bo31bo4bo5bo3bo12bobo3bo23bo9b2o8bo$15b2o10bo4b
o4b2o25b5o3b3o3bo13bo3bo$27bo3bo4bo2bo26b2o10bo$9b2o16b4o4bobobo83bo2b
o$9b2o9b2o7bo4b3obo67b2o15b4o$20b3o11b3o28b2o19bo6b2o11bobo$3b2o18bobo
39bo18b3o6b2o13bo16b2o$2bobo15bobo3bo39b3o14bo24b2o15b2o$2bo7bo10bo3bo
42bo14b2o$b2o5bobo18b2o16b2o$8bobo18bo17b2o$30b3o$32bo!

-Matthias Merzenich

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 20th, 2025, 7:54 am

New spartan technology
(by Mitchell Riley, Adam P. Goucher, Lucy D'Agostino, Anivec, Evin, Dave Greene)

2024 saw the discovery of an unusual amount of new elementary spartan technology, thanks in large part to new search programs Lightcone and Silk.

On April 30, 2024 Lucy D'Agostino completed a new spartan L141 Herschel conduit based on a partial result by Anivec. Despite an output glider near the output Herschel, Dave Greene noticed that this conduit can be followed by many other Herschel conduits by removing an eater (shown in red) and using the Herschel's first natural block (shown in yellow) as a transparent catalyst:

Code: Select all

#C Left: L141 by Lucy D'Agostino shown without a following conduit
#C Right: L141 followed by a modified Fx153 conduit by Dave Greene
x = 80, y = 83, rule = LifeHistory
63.B$62.3D$62.BDB$61.3D2B$61.5B$60.6B$60.6B$61.5B$61.6B$60.6B$60.7B$
61.6B$61.6B$61.6B$60.8B$59.8B$59.9B$59.9B$58.10B$58.3B2A5B$57.4B2A5B$
57.11B$55.A12B$53.3A2.8B$52.A6.7B$52.2A7.5B$61.6B5.2A$60.6B6.A$59.8B
2.BA.A$58.9B2.B2A$58.12B$58.12B$56.2AB.10B$55.A.AB2.8B$55.A6.8B$54.2A
5.8B$61.7B$60.11B$60.12B$60.12B$10.4B5.B40.B2E9B$11.4B3.3D40.2E9B$12.
4B2.BDB38.2D2.9B$13.4B3D2B38.D2.9B$14.8B35.3D4.8B$15.7B35.D7.8B$16.6B
44.8B$16.6B44.9B$16.7B43.10B$15.9B41.11B$15.9B2.2A37.9B.B2A$4.A10.9B
2.A.A25.A10.9B.BA.A$4.3A7.10B4.A25.3A7.10B4.A$7.A5.12B3.2A27.A5.12B3.
2A$6.2A5.13B30.2A5.13B$6.7B.12B30.7B.12B$8.19B.2A28.19B.2A$6.21BA.A
26.21BA.A$6.20B.BA27.20B.BA$6.19B31.19B$6.19B.B29.19B.B$6.20B2A28.20B
2A$5.19B.B2A27.19B.B2A$3.20B3.B26.20B3.B$3.2BC18B29.2BC18B$2.3BCBC17B
27.3BCBC17B$3.2B3C13B.4B27.2B3C13B.4B$2.5BC13B2.4B25.5BC13B2.4B$.20B
3.4B23.20B3.4B$4B8.9B4.4B21.4B8.9B4.4B$3B9.9B5.4B20.3B9.9B5.4B$2B8.B.
10B5.3B20.2B8.B.10B5.3B$B8.A11B7.2B20.B8.A11B7.2B$8.A.A11B7.B28.A.A
11B7.B$9.AB.10B37.AB.10B$12.10B40.10B$12.8B42.8B$14.5B45.5B$12.4B46.
4B$12.2A48.2A$13.A49.A$10.3A47.3A$10.A49.A!

On June 10, 2024 Adam P. Goucher uses the new search program Silk to discover compact spartan Glider-to-wing (G-to-W) converter. This can be combined with a known small wing-to-Herschel converter, although the first natural glider (FNG) of the output Herschel collides with the G-to-W, so it must be followed by a dependent conduit, as shown in this composite G-to-H converter (new G-to-W shown in yellow):

Code: Select all

#C Spartan G-to-W-to-H-to-B-to-H using a new G-to-W by Adam P. Goucher
x = 88, y = 35, rule = LifeHistory
50.3B$50.5B$12.2A35.6B$13.A6.2A27.8B$13.A.AB.2B2AB26.8B5.2A$14.2AB.4B
21.B4.9B5.A.A$10.E4.8B19.3B3.11B5.A$4.E5.3E3.9B15.6B2.13B3.2A$4.3E6.E
2.9B9.4B2.7B.13B4.B$7.E4.2E.3BD7B2.2B2.28B5.3B$.BC3.2E4.6B2D15BD25B3.
6B$CBCB2.4B4.6BD14BDBD23B2.10B$.2C2B3.2B2.7B2D3B2A9B3DB2A21B.11B3.2B
2.2B$2.22B2A11BDB2A22BD3B2A15BD$3.60B2D2B2A15BDBD$4.18B.2B.3B.4B2.28B
2D18B3DB$5.16B10.2B5.B2.23BD21BD$6.17B17.23BD21B$7.17B15.24B2.13B.B$
5.20B13.25B2.7B.B$4.10B2E9B13.3B.20B$4.10B2E7B.B2E9.2AB3.18B$4.17B3.B
E.E7.A.AB4.18B.B$2.2EB.16B5.E7.A8.18B2A$.E.EB3.13B6.2E5.2A8.18B2A$.E
4.14B24.3B3.13B$2E4.2E4.8B25.B2.3B.11B$7.E4.9B27.2A2.9B$4.3E6.8B28.A
3.7B$4.E11.3B.B2E23.3A5.4B$14.5B.BE.E22.A8.5B$14.2E7.E34.2A$15.E7.2E
33.A$12.3E44.3A$12.E48.A!

Mitchell Riley developed a new search program, Lightcone, and used it in the latter part of the year to discover many new spartan conduits and converters.

On September 13, 2024 Riley found an extremely compact spartan Herschel splitter which has output Herschels matching those in R64 and Lx65. Luckily, the first natural gliders of each Herschel collide and delete each other without the need for additional catalysts. This also allows the construction of completely stable (and spartan) Lx65 conduits which were previously only possible using periodic catalysts:

Code: Select all

#C Left: compact Herschel splitter by Mitchell Riley
#C Right: stable Lx65 Herschel conduit including FNG suppression:
x = 71, y = 39, rule = LifeHistory
18.B39.B$17.3D37.3D$17.BDB37.BDB$16.2B3D35.2B3D$16.5B35.5B$16.6B33.7B
$3.2A11.6B6.A14.2A9.8B6.A$4.A11.5B5.3A15.A8.8B5.3A$4.A.AB7.6B4.A18.A.
AB4.9B4.A$5.2AB.3B4.6B3.2A18.2AB.6B.6B3.2A$7.7B.8B.3B20.7B.8B.3B$7.
18B22.18B$8.17BAB20.18BAB$7.17BABAB.B16.18BABAB.B$5.18BA2BA2B2A14.18B
A2BA2B2A$3.18B.2B2AB.B2A12.18B.2B2AB.B2A$3.2BC15B2.3B3.B13.2BC15B2.3B
3.B$2.3BCBC4B.7B2.3B17.3BCBC4B.7B2.3B$3.2B3C4B2.6B2.B2AB17.2B3C4B2.6B
2.B2AB$2.5BC4B2.7B2.2A17.5BC5B.7B2.2A$.10B4.6B20.13B.6B$4B10.6B20.4B
7.9B$3B12.5B20.3B9.8B$2B13.6B19.2B11.8B$B14.6B19.B13.7B$15.5B35.6B$
15.2B3D35.7B$16.BDB36.7B$16.3D36.8B.3B$17.B37.13B$55.14B$55.15B$56.
14B$56.13B$55.14B$56.12B$58.3B2A3B$58.2BA2BAB$60.B2A!

Two days later, Riley found a spartan F130 Herschel conduit in which the FNG of the output Herschel travels safely back through the conduit, with an additional variant with a lower repeat time that suppresses the backward FNG with a convenient forward glider:

Code: Select all

#C Left: ordinary F130 Herschel conduit by Mitchell Riley
#C Right: F130 with FNG suppression by Mitchell Riley
x = 90, y = 45, rule = LifeHistory
13.A49.A$13.3A47.3A$16.A49.A$9.2A4.2A42.2A4.2A$10.A4.4B41.A4.4B$10.A.
AB3.3B40.A.AB3.3B$11.2AB.5B41.2AB.5B$13.9B8.A32.9B8.A$13.10B5.3A32.
10B5.3A$13.9B2A3.A35.9B2A3.A$15.7B2A2B.2A36.7B2A2B.2A$16.13B37.13B$
15.12B38.12B$15.13B37.13B$15.13B37.13B$14.14B.2B2.2B29.14B.2B2.2B$13.
23BD26.23BD$3.2A8.23BDBD14.2A8.23BDBD$4.A9.22B3DB14.A9.22B3DB$4.A.AB
4.26BD15.A.AB4.26BD$5.2AB.28B18.2AB.28B$7.23B.B25.23B.4B$7.22B28.22B.
4B$8.21B29.21B2.2B$7.20B30.20B2.3B$5.23B27.28B$3.24B26.24B.4B$3.2BC
20B27.2BC20B.4B$2.3BCBC4B.10B29.3BCBC4B.10B3.4B$3.2B3C4B2.7B32.2B3C4B
2.7B4.4B$2.5BC4B2.8B30.5BC4B2.8B2.4B$.10B2.11B27.10B2.14B$4B9.11B26.
4B9.13B$3B11.11B25.3B11.12B2.B$2B11.B.10B25.2B11.B.11B.B2A$B11.2B.9B
26.B11.2B.13B2A$9.2B.12B35.2B.14B.2B$8.2A13B35.2A16B$8.2A13B35.2A15B$
9.2B.13B34.2B.14B$13.6B4.2A38.13B$23.A45.7B$24.3A43.5B$26.A43.5B$72.
2B!

In October and November 2024 Riley found several new spartan Herschel-to-glider (H-to-G) converters:

Code: Select all

#C Top row: found by Mitchell Riley in October 2024
#C Bottom row: found by Mitchell Riley in November 2024
x = 433, y = 198, rule = LifeHistory
380.D3.D.D3.D2.3D3.3D2.5D2.3D3.3D3.3D$380.2D2.D.D3.D.D3.D.D3.D3.D3.D
3.D.D3.D.D3.D$380.D.D.D.D3.D5.D5.D3.D7.D.D2.2D.D2.2D$380.D2.2D.D.D.D
4.D5.D4.D6.D2.D.D.D.D.D.D$380.D3.D.D.D.D3.D5.D5.D5.D3.2D2.D.2D2.D$
380.D3.D.2D.2D2.D5.D6.D4.D4.D3.D.D3.D$380.D3.D.D3.D.5D.5D3.D3.5D2.3D
3.3D4$380.D3.D.D3.D2.3D2.5D.5D2.3D3.3D4.D$380.2D2.D.D3.D.D3.D5.D3.D3.
D3.D.D3.D2.2D$380.D.D.D.D3.D5.D4.D4.D7.D5.D3.D$380.D2.2D.D.D.D4.D4.D
5.D6.D4.2D4.D$380.D3.D.D.D.D3.D4.D6.D5.D7.D3.D$380.D3.D.2D.2D2.D4.D7.
D4.D4.D3.D3.D$380.D3.D.D3.D.5D.D7.D3.5D2.3D3.3D4$49.D3.D.D3.D3.D6.D2.
5D3.D4.3D3.3D224.D3.D.5D2.3D2.5D2.3D2.5D26.D3.D.5D3.D4.3D2.5D.5D2.3D$
49.2D2.D.D3.D2.2D5.2D4.D4.2D3.D3.D.D3.D223.2D2.D.D5.D3.D3.D3.D3.D.D
30.2D2.D.D6.2D3.D7.D3.D5.D3.D$49.D.D.D.D3.D3.D4.D.D4.D5.D3.D3.D.D3.D
223.D.D.D.D9.D3.D3.D3.D.D30.D.D.D.D7.D3.D7.D3.D5.D3.D$49.D2.2D.D.D.D
3.D3.D2.D4.D5.D4.3D3.3D224.D2.2D.3D5.2D4.D4.4D2.3D27.D2.2D.3D5.D3.4D
4.D4.3D3.3D$49.D3.D.D.D.D3.D3.5D3.D5.D3.D3.D.D3.D223.D3.D.D9.D3.D7.D
5.D26.D3.D.D7.D3.D3.D3.D7.D.D3.D$49.D3.D.2D.2D3.D6.D4.D5.D3.D3.D.D3.D
223.D3.D.D5.D3.D3.D7.D.D3.D26.D3.D.D7.D3.D3.D3.D3.D3.D.D3.D$49.D3.D.D
3.D2.3D5.D4.D4.3D3.3D3.3D224.D3.D.5D2.3D4.D4.3D3.3D27.D3.D.5D2.3D3.3D
4.D4.3D3.3D4$D3.D.5D2.3D3.3D2.5D2.3D3.3D10.3D2.5D2.3D2.5D2.3D3.3D24.D
3.D.5D2.3D3.3D2.5D3.D3.5D13.D3.D.5D3.D4.3D2.5D2.3D2.5D10.D3.D.5D2.3D
2.5D3.D4.3D3.3D15.D3.D.5D2.3D2.5D3.D4.3D$2D2.D.D5.D3.D.D3.D3.D3.D3.D.
D3.D8.D3.D.D5.D3.D3.D3.D5.D3.D23.2D2.D.D5.D3.D.D3.D3.D4.2D7.D13.2D2.D
.D6.2D3.D3.D3.D3.D3.D.D14.2D2.D.D5.D3.D3.D4.2D3.D3.D.D3.D14.2D2.D.D5.
D3.D3.D4.2D3.D3.D$D.D.D.D9.D5.D3.D7.D.D3.D8.D5.D5.D3.D3.D3.D5.D2.2D
23.D.D.D.D9.D.D2.2D3.D5.D6.D14.D.D.D.D7.D7.D3.D7.D.D14.D.D.D.D5.D3.D
3.D5.D7.D5.D14.D.D.D.D5.D3.D3.D5.D7.D$D2.2D.3D6.D5.D4.D6.D3.3D10.3D2.
3D4.3D4.D3.4D2.D.D.D23.D2.2D.3D5.2D2.D.D.D3.D5.D5.D15.D2.2D.3D5.D6.D
4.D6.D3.3D11.D2.2D.3D4.4D3.D5.D6.D4.2D15.D2.2D.3D4.4D3.D5.D6.D71.4B.
4B48.4B$D3.D.D7.D5.D5.D5.D3.D3.D12.D.D5.D3.D3.D3.D3.D.2D2.D23.D3.D.D
9.D.2D2.D3.D5.D4.D16.D3.D.D7.D5.D5.D5.D7.D10.D3.D.D9.D3.D5.D5.D7.D14.
D3.D.D9.D3.D5.D5.D73.4B.4B46.4B$D3.D.D6.D5.D6.D4.D4.D3.D8.D3.D.D5.D3.
D3.D3.D3.D.D3.D23.D3.D.D5.D3.D.D3.D3.D5.D3.D17.D3.D.D7.D4.D6.D4.D4.D
3.D10.D3.D.D9.D3.D5.D4.D4.D3.D14.D3.D.D9.D3.D5.D4.D75.4B.4B17.A26.4B$
D3.D.5D.5D.5D3.D3.5D2.3D10.3D2.5D2.3D4.D4.3D3.3D24.D3.D.5D2.3D3.3D4.D
4.3D2.D17.D3.D.5D2.3D2.5D3.D3.5D2.3D11.D3.D.5D2.3D4.D4.3D2.5D2.3D15.D
3.D.5D2.3D4.D4.3D2.5D73.4B.4B16.3A8.2A13.4B$353.4B19.4B.4B18.A6.B2AB
11.4B$352.4B21.4B.4B16.2AB6.3B10.4B$351.4B23.4B.4B15.5B5.B10.4B$350.
4B25.4B.4B16.3B3.5B7.4B$254.B94.4B27.4B.4B15.3B2.7B5.4B$253.2B80.2A
11.4B29.4B.4B4.2A7.5B.7B4.4B$252.3B80.A.A5.B3.4B31.4B.4B3.A.A5.6B2.7B
2.4B$55.4B192.4B81.AB3.4B.4B5.2A26.4B.4B3.AB5.8B.11B$56.4B190.4B46.4B
31.2B4.9B5.A28.4B.4B.2B5.20B$57.4B188.4B46.4B30.5B3.10B.BA.A29.4B.7B
4.19B$58.4B162.2A22.4B46.4B29.8B.11B.B2A31.33B$59.4B137.B22.B2AB20.4B
46.4B30.22B34.30B$60.4B135.2B22.3B13.A6.4B46.4B31.21B36.29B$61.4B65.A
67.3B23.B.B10.3A5.4B46.4B34.19B37.23B.2B$62.4B62.3A60.2A4.4B21.5B9.A
7.4B38.2B6.4B34.20B38.22B3.A$14.2B17.2A28.4B16.2A42.A63.A4.4B22.5B9.
2A5.4B37.5B4.4B34.21B38.22B3.3A$12.4B9.2A6.A28.6B7.2A6.A26.2A15.2A41.
2A16.BA.A3.4B23.6B5.5B4.4B25.A11.7B2.4B25.2A8.20B29.2A8.21B7.A$7.B.8B
7.B2A2B.BA.A23.B.10B5.B2A2B.BA.A27.A12.5B3.2A37.A13.2A.B2A3.4B24.7B2.
5B5.4B26.3A9.12B27.A9.20B29.A8.19B8.2A$6.2AB.B2A5B7.4B.B2A23.2AB.B2A
7B5.4B.B2A28.A.AB7.5B5.A18.B19.A.AB9.B2A2B4.4B25.15B3.4B30.A6.13B28.A
.AB4.21B30.A.AB4.20B$6.2A3B2A7B4.7B11.B13.2A3B2A8B3.7B31.2AB.3B3.6B.B
A.A17.2B20.2AB.3B6.5B2.4B25.2B2A13B.4B30.2A3.B2.12B30.2AB.23B3.2A27.
2AB.24B3.2A$7.2B.11B2.8B10.2B14.2B.12B.8B33.14B.B2A17.3B22.7B2.6B2.4B
26.2B2A17B31.8B.10B33.25B3.A30.26B3.A$10.19B11.3B17.19B35.16B18.4B22.
14B2.4B28.20B33.16B34.26BA.A30.27BA.A$11.19B9.4B18.19B35.14B18.4B24.
18B29.21B32.15B36.23B2.2A32.24B2.2A$11.19B8.4B19.19B34.16B16.4B24.18B
30.21B31.17B.B32.24B35.25B$12.19B6.4B21.19B31.18B15.4B23.20B30.21B29.
20B2A29.24B35.21B.5B$10.20B6.4B20.20B30.19B15.4B22.21B29.23B27.20B.B
2A27.21B.B36.21B3.5B$10.2BC17B5.4B21.2BC17B30.2BC15B15.4B23.2BC17B30.
2BC18B.B2A25.2BC15B4.B28.2BC18B38.2BC18B3.5B$9.3BCBC4B.11B3.4B21.3BCB
C4B.11B28.3BCBC15B2.3B7.4B23.3BCBC4B.9B30.3BCBC15B2.BA.A23.3BCBC15B5.
2A23.3BCBC4B.10B38.3BCBC4B.9B6.4B$10.2B3C4B2.16B23.2B3C4B2.13B26.2B3C
4B.10B2.4B5.4B25.2B3C4B2.7B32.2B3C14B6.A24.2B3C15B5.A25.2B3C4B2.8B40.
2B3C4B2.7B6.4B$9.5BC4B3.14B23.5BC4B3.12B25.5BC4B2.16B3.4B25.5BC4B2.6B
.2B29.5BC14B6.2A22.5BC4B2.10B.BA.A24.5BC4B.9B39.5BC4B2.7B5.B2A2B$8.
10B5.12B23.10B5.11B24.10B4.21B25.10B4.7B2A27.22B28.10B3.10B.B2A24.10B
.9B39.10B2.8B6.2A$7.4B10.13B23.4B10.13B23.4B11.20B25.4B10.8B2A26.4B3.
16B27.4B11.11B25.4B8.9B38.4B9.8B$6.4B11.2A2.8B23.4B11.2A2.9B22.4B12.
19B25.4B11.9B26.4B3.18B25.4B13.4B2A4B24.4B9.9B37.4B9.9B$5.4B13.A3.7B
22.4B13.A3.8B21.4B13.18B25.4B12.6B28.4B4.17B25.4B16.BA2BA3B23.4B10.
10B35.4B10.10B$5.3B11.3A6.4B23.3B11.3A4.8B21.3B14.17B26.3B13.5B29.3B
4.18B25.3B18.B2A3B24.3B8.14B34.3B9.11B$5.2B12.A8.3B24.2B12.A6.6B.B2A
19.2B16.B2A14B25.2B11.9B28.2B5.18B25.2B20.4B25.2B9.16B32.2B9.13B$5.B
23.2B24.B21.4B2.BA.A18.B17.B2A6B3.3B.B2A23.B11.11B27.B5.19B25.B19.5B
26.B10.17B31.B10.14B$28.2B48.4B4.A39.8B5.BA.A34.8B2AB32.2AB2.11B49.2A
41.16B42.13B2A$27.B2AB48.4B3.2A44.2A8.A34.8B2AB31.A.AB2.11B50.A39.16B
.B2A38.2AB.9B.B2A$28.2A50.4B48.A9.2A31.2AB.8B32.A6.10B47.3A40.2A4.5B.
3B2.BA.A36.A.AB4.5B3.B$81.4B48.3A38.A.AB4.7B29.2A7.2B2.3B.B2A45.A43.A
2.4B.2B9.A36.A5.4B$82.4B49.A38.A12.2A37.4B2.B2.BA.A85.3A3.2A14.2A34.
2A5.2A$83.4B86.2A12.A38.B2AB8.A85.A6.A58.A$84.4B100.3A36.2A9.2A88.3A
56.3A$85.4B101.A137.A58.A$86.4B$87.4B27$68.D3.D.D3.D3.D4.3D2.5D3.D4.
3D3.3D153.D3.D.D3.D2.3D4.D3.5D3.D4.3D3.3D$68.2D2.D.D3.D2.2D3.D3.D3.D
4.2D3.D3.D.D3.D152.2D2.D.D3.D.D3.D2.2D5.D4.2D3.D3.D.D3.D$68.D.D.D.D3.
D3.D3.D3.D3.D5.D3.D2.2D5.D152.D.D.D.D3.D5.D3.D5.D5.D7.D.D2.2D$68.D2.
2D.D.D.D3.D4.4D3.D5.D3.D.D.D4.D153.D2.2D.D.D.D3.2D4.D5.D5.D6.D2.D.D.D
$68.D3.D.D.D.D3.D7.D3.D5.D3.2D2.D3.D154.D3.D.D.D.D5.D3.D5.D5.D5.D3.2D
2.D$68.D3.D.2D.2D3.D7.D3.D5.D3.D3.D2.D155.D3.D.2D.2D.D3.D3.D5.D5.D4.D
4.D3.D$68.D3.D.D3.D2.3D3.3D4.D4.3D3.3D2.5D152.D3.D.D3.D2.3D3.3D4.D4.
3D2.5D2.3D4$6.3D2.5D2.3D2.5D.5D2.3D3.3D24.3D2.5D4.D2.5D.5D9.D3.3D27.
3D2.5D2.3D3.3D2.5D.5D.5D20.3D2.D3.D8.3D2.5D3.D6.D3.3D22.D3.D.5D8.3D2.
5D.5D3.D19.3D2.D3.D2.3D3.3D2.5D2.3D3.3D3.3D$5.D3.D.D5.D3.D5.D3.D3.D3.
D.D26.D3.D.D7.2D2.D7.D10.2D2.D3.D25.D3.D.D5.D3.D.D3.D3.D7.D.D23.D3.D.
D3.D7.D3.D3.D4.2D5.2D2.D3.D21.2D2.D.D11.D3.D3.D3.D6.2D18.D3.D.D3.D.D
3.D.D3.D3.D3.D3.D.D3.D.D3.D$5.D5.D9.D4.D4.D7.D.D26.D5.D6.D.D2.D7.D11.
D6.D25.D5.D9.D5.D3.D6.D2.D23.D5.D3.D11.D3.D5.D4.D.D2.D3.D21.D.D.D.D
15.D3.D3.D7.D18.D5.D3.D5.D5.D3.D7.D5.D.D3.D$6.3D2.3D5.2D4.D5.D6.D2.4D
24.3D2.3D3.D2.D3.3D4.D3.5D3.D4.2D27.3D2.3D5.2D4.2D4.D5.D4.3D21.3D2.D.
D.D.5D3.2D4.D5.D3.D2.D3.3D22.D2.2D.3D3.5D4.D4.D4.3D4.D19.3D2.D.D.D3.
2D4.2D4.D6.D4.2D3.3D$9.D.D9.D2.D6.D5.D3.D3.D26.D.D5.5D5.D3.D11.D6.D
29.D.D9.D5.D3.D4.D8.D23.D.D.D.D11.D3.D5.D3.5D.D3.D21.D3.D.D13.D5.D7.D
3.D22.D.D.D.D5.D5.D3.D5.D7.D.D3.D$5.D3.D.D5.D3.D.D7.D4.D4.D3.D22.D3.D
.D8.D2.D3.D3.D11.D2.D3.D25.D3.D.D5.D3.D.D3.D3.D3.D5.D3.D19.D3.D.2D.2D
7.D3.D3.D5.D6.D2.D3.D21.D3.D.D12.D6.D3.D3.D3.D18.D3.D.2D.2D.D3.D.D3.D
3.D4.D4.D3.D.D3.D$6.3D2.5D2.3D2.D7.D3.5D2.3D24.3D2.5D4.D3.3D4.D10.3D
2.3D27.3D2.5D2.3D3.3D4.D3.D6.3D21.3D2.D3.D8.3D4.D4.3D5.D3.3D22.D3.D.
5D7.5D3.D4.3D3.3D18.3D2.D3.D2.3D3.3D4.D3.5D2.3D3.3D9$273.4B22.4B$274.
4B20.4B$275.4B18.4B$64.4B208.4B9.A6.4B$65.4B208.4B6.3A5.4B$24.2A40.4B
208.4B4.A7.4B$25.A41.4B90.2A111.2A3.4B3.2A5.4B$25.A.AB39.4B88.B2AB
111.A4.8B4.4B48.2A$26.2AB.2A37.4B19.2A59.2A6.3B6.A104.A.AB.6B5.4B49.A
.A$28.2B2AB37.4B19.A5.2B51.B2AB6.B6.A.A104.2AB.8B2.4B51.AB$28.4B7.2A
30.4B18.A.AB.4B5.2A44.2B5.6B3.BA2B47.A9.A47.15B51.2B$28.5B6.A32.4B18.
2AB.4B5.A46.2B.10B3.2B48.3A5.3A47.14B50.5B$27.6B3.BA.A33.4B7.2A10.6B
2.BA.A45.18B52.A3.A50.13B50.7B$27.8B.B2A35.4B5.B2AB9.6B2.B2A39.2A4.
21B43.2A4.2A.B.2A51.13B47.8B3.BA$19.2A6.10B38.4B5.3B7.11B42.A4.21B44.
A4.7B50.14B48.8B.BA.A$20.A5.11B39.4B3.B.B7.12B6.A35.A.AB.22B43.A.AB3.
3B51.14B2A48.10BA$20.A.AB2.12B39.4B.6B6.11B4.3A36.2AB.23B43.2AB.6B51.
13B2A47.9B.B$21.2AB.14B39.10B4.13B3.A41.25B45.8B52.11B.B47.9B8.2A$10.
2A11.17B30.2A7.26B3.2A30.2A8.25B35.2A8.8B42.2A8.11B39.2A8.9B8.A$11.A
12.17B30.A8.24B.5B31.A8.23B.B2A34.A8.9B4.2A36.A9.9B3.B37.A8.10B4.BA.A
$11.A.AB6.13B.7B29.A.AB6.27B33.A.AB6.22B.BA.A33.A.AB4.10B.2BA.AB35.A.
AB5.11B.B2A36.A.AB4.14B.B2A$12.2AB.3B.14B.8B29.2AB.3B2.29B32.2AB.3B3.
20B5.A34.2AB.16B2A2B36.2AB.3B.13B2A37.2AB.19B5.2A$14.24B2.4B30.21B3D
14B32.26B7.2A35.20B.B2A36.20B40.21B5.A$14.25B2.4B29.23BD15B31.27B43.
17B4.BA.A35.22B38.21B2.BA.A$15.24B3.4B29.20B3D16B31.27B43.15B8.A36.
18B.2A39.21B.B2A$14.25B4.4B27.41B29.29B41.15B9.2A34.18B2.A39.24B$12.
26B6.4B24.37B3.4B26.32B38.17B43.19B4.3A34.26B$10.18B.B.7B7.4B21.19B3.
15B6.4B23.19B2.B9.4B35.20B40.20B7.A32.28B$10.2BC13B5.6B9.4B20.2BC15B
5.9B.2B2AB6.4B22.2BC15B2.3B9.4B34.2BC17B40.2BC17B.BA37.2BC24B.3B$9.3B
CBC4B.6B6.2B13.3B19.3BCBC4B.7B7.7B4.2A8.4B20.3BCBC4B.7B3.B2AB9.4B32.
3BCBC16B38.3BCBC4B.11BA.A35.3BCBC26B$10.2B3C4B2.B.5B5.2B13.2B20.2B3C
4B2.6B7.6B16.4B20.2B3C4B2.6B4.2A11.4B31.3B3C15B40.2B3C4B2.10B.2A36.2B
3C32B$9.5BC4B7.2A4.B2AB13.B19.5BC4B3.6B6.6B17.4B18.5BC4B3.6B17.4B29.
6BC13B41.5BC4B2.8B40.5BC32B$8.10B8.A6.2A33.10B6.4B7.7B16.3B17.10B6.4B
18.4B27.21B40.10B4.6B40.38B2A$7.4B16.3A37.4B12.B2A2B7.3B2.2A17.2B16.
4B12.B2A2B19.4B25.5B5.12B39.4B11.5B40.4B7.28B2A$6.4B19.A36.4B14.2A.B
2A5.2AB2.A19.B15.4B14.2A.B2A18.4B23.5B7.9B40.4B13.5B38.4B7.28B.B$5.4B
56.4B18.BA.A3.A.AB3.3A31.4B18.BA.A18.4B21.5B10.9B37.4B12.5B.B2A35.4B
8.27B$5.3B57.3B22.A3.2AB6.A31.3B22.A19.4B19.5B11.5B2.2A37.3B13.2A4.BA
.A34.3B9.27B$5.2B58.2B23.2A3.4B36.2B23.2A19.4B17.5B12.B.B4.A38.2B15.A
7.A34.2B9.21B4.B$5.B59.B31.2A36.B46.3B17.4B14.3B4.3A35.B13.3A8.2A33.B
10.21B$97.A85.2B17.3B14.B2AB6.A49.A56.19B.B2A$98.3A83.B17.2B16.2A112.
2AB.16B2.BA.A$100.A101.B130.A.AB4.13B5.A$333.A5.15B5.2A$332.2A5.2A4.
9B$340.A4.8B$337.3A4.8B$337.A6.9BA$344.7B.A.A$345.5B3.2A$345.5B$345.
5B$344.5B$343.8B$342.4B3.2A$341.4B4.A$340.4B6.3A$339.4B9.A$338.4B$
337.4B$336.4B$335.4B$334.4B$333.4B!

On October 10, 2024 Anivec modified one of the above H-to-G converters to get a new spartan H-to-B converter, which Lucy D'Agostino noted was in fact an H-to-E followed by an E-to-B. This allowed the construction of new spartan Rx155 and R194 Herschel conduits using previously known E-to-H and B-to-H converters:

Code: Select all

#C Left: H-to-E by Mitchell Riley (noted by Lucy D'Agostino)
#C Center: H-to-E-to-H (Rx155)
#C Right: H-to-E-to-B-to-H (R194) by Anivec
x = 138, y = 51, rule = LifeHistory
8.2B17.2A29.2B17.2A29.2B17.2A$6.4B9.2A6.A28.4B9.2A6.A28.4B9.2A6.A$.B.
8B7.B2A2B.BA.A23.B.8B7.B2A2B.BA.A23.B.8B7.B2A2B.BA.A$2AB.B2A5B7.4B.B
2A23.2AB.B2A5B7.4B.B2A23.2AB.B2A5B7.4B.B2A$2A3B2A7B4.7B25.2A3B2A7B4.
7B25.2A3B2A7B4.7B$.2B.11B2.8B26.2B.11B2.8B26.2B.11B2.8B$4.19B31.19B
10.2A19.19B10.2A$5.19B31.19B9.A21.19B9.A$5.19B31.19B6.BA.A21.19B6.BA.
A$6.19B31.19B3.B.B2A23.19B3.B.B2A$4.20B30.20B3.4B23.20B3.4B$4.2BC17B
30.2BC17B2.5B23.2BC17B2.5B$3.3BCBC4B.11B28.3BCBC4B.17B22.3BCBC4B.17B$
4.2B3C4B2.13B26.2B3C4B2.18B21.2B3C4B2.18B$3.5BC4B3.12B25.5BC4B3.18B
19.5BC4B3.18B$2.10B5.11B24.10B5.17B18.10B5.17B$.4B10.8BD3B24.4B10.8BD
9B18.4B10.8BD9B$4B11.2A2.4BDBDB23.4B11.2A2.4BDBD8B16.4B11.2A2.4BDBD8B
$3B13.A3.3B3DB22.4B13.A3.3B3D9B15.3B13.A3.3B3D9B$2B11.3A6.2BDB23.3B
11.3A5.3BD9B16.2B11.3A5.3BD9B$B12.A8.3B24.2B12.A8.10B18.B12.A8.10B$
22.3B24.B22.8B42.8B$23.B49.7B43.7B$73.3B2AB44.6B$74.2B2AB45.5B$74.6B
44.5B7.2A$74.6B44.BDB2D2B6.A$73.7B44.B3D4B2.3A$73.6B43.4BD7BA$74.6B
42.11B$74.5B43.5B2A4B$73.6B43.5B2A3B$73.6B43.10B$74.5B43.9B$74.3D2B
43.9B$75.BDB45.8B$75.3D44.8B$76.B46.6B$123.6B$123.6B$123.7B$124.6B$
123.6B$124.5B$124.6B$124.6B$124.5B$124.2B3D$125.BDB$125.3D$126.B!

Evin subsequently noticed that the H-to-E could connect to a previously unusable spartan E-to-G, and Lucy D'Agostino adapted this into a spartan E-to-R-to-H, giving a spartan R314 Herschel conduit:

Code: Select all

#C Left: H-to-E-to-G constructed by Evin
#C Right: H-to-E-to-R-to-H (R314) by Lucy D'Agostino
x = 131, y = 45, rule = LifeHistory
25.4B92.2A$26.4B84.B5.B2AB$27.4B73.A8.3B4.3B$28.4B72.3A6.3B5.B$29.4B
74.A3.13B$30.4B72.2A.16B$31.4B71.14BD5B$32.4B65.2A5.12B3D3B$33.4B65.A
4.14BD4B.BA$9.2B17.2A4.4B41.2B17.2A2.A.AB.20BA.A$7.4B9.2A6.A6.4B38.4B
9.2A6.A4.2AB.18B.2BA$2.B.8B7.B2A2B.BA.A7.4B7.2A23.B.8B7.B2A2B.BA.A6.
20B2.B$.2AB.B2A5B7.4B.B2A9.4B6.A23.2AB.B2A5B7.4B.B2A7.22B$.2A3B2A7B4.
7B4.2A6.4B2.BA.A23.2A3B2A7B4.7B4.2A4.21B$2.2B.11B2.8B3.B2AB6.4B.B2A
25.2B.11B2.8B3.B2AB4.20B$5.19B6.3B7.5B30.19B6.3B5.17B.B2A$6.19B6.B.B
6.6B30.19B6.B.B5.16B.BA.A$6.19B5.5B5.8B28.19B5.5B5.15B4.A$7.19B3.20B
28.19B3.26B4.2A$5.20B3.21B26.20B3.26B$5.2BC17B2.21B27.2BC17B2.27B$4.
3BCBC4B.32B27.3BCBC4B.38B$5.2B3C4B2.31B28.2B3C4B2.37B$4.5BC4B3.29B28.
5BC4B3.37B$3.10B5.16B3.8B28.10B5.16B3.8B2.7B$2.4B10.8BD8B4.7B28.4B10.
8BD8B4.7B4.5B$.4B11.2A2.4BDBD8B3.6B27.4B11.2A2.4BDBD8B3.6B4.2B3D$4B
13.A3.3B3D9B5.2B27.4B13.A3.3B3D9B5.2B6.BDB$3B11.3A5.3BD9B7.2B26.3B11.
3A5.3BD9B7.2B5.3D$2B12.A8.10B8.B2AB25.2B12.A8.10B8.B2AB5.B$B22.8B11.
2A26.B22.8B11.2A$23.8B62.8B$24.7B63.7B$24.8B62.8B$24.7B63.7B$24.7B63.
7B$24.7B63.7B$24.6B64.6B$24.7B63.7B$26.4B66.4B$24.5B65.5B$24.2A68.2A$
25.A69.A$22.3A67.3A$22.A69.A!

-Matthias Merzenich

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

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Post by Sokwe » November 20th, 2025, 9:35 am

New c/3 orthogonal technology
(by Keith Amling, Dmitry Maitak, Evin, David Bell, Matthias Merzenich)

On January 9, 2024, Keith Amling discovered a period-9 c/3 orthogonal backrake using LLSSS (reduced to the form shown below by Matthias Merzenich on January 12, 2024):

Code: Select all

#C p9 c/3 backrake by Keith Amling with reductions by Matthias Merzenich
x = 82, y = 114, rule = B3/S23
49b3o$29b2o13b2ob2obo$27b3ob2o11b2o4bob2o$24b2o5bob3o7bo2bo3bobobo$24b
2o5b2o17bobob3o$23bo4b3o2b2ob2obo8bo3bo3bob3o$24b3o2bob2obobo2b2o7bo8b
obobo$25b2o5b2o2bo4bo9bo3b2o3bo$13b2o5b3o2b2o7bobob2o2bo4b2o3b2ob2o$7b
2o3bo2bo4b3o7bo2b3ob3o2bo12bo8bo$4b2ob2o2b2o3bo2bo3bo8bobobobo7bo16b2o
4b3ob2o$b4o2bobo2b2o25bo2bo4b2o13bobo2b2o4b2o$o4bo8b5o4bo15bob3o2bobo
11bobo3b2o2bobo2bo$b2o9bobobobobo2b2o19bo14b2obo3b2ob2obo$9b2obo2bo2bo
b2o3bo6b3o9b2o12bo3bob3ob2o2bo$6b4o2b2o3bo6bobo4bo3b2obo4b2o14bo2b2o2b
o5bob2o$5bo4bo2bo9bo3bo3b3o3b3o3bobo11b2obobo4bobob2ob2o$6b2o15b2ob2o
2b2o4bo3bo5bo7b3o4bo2bo3b2o$22b4ob2obo8bo4bo2bo2b2ob4ob3o3bobobob2obo$
21bo3bo2bo2bo5bo11bobo8bo7bobo2bo$20bo5bobobobo5bo7b2obobob2o5bo9bo$
26bobo5bo3b2o5bo3bo3b3o$20bobo5bo5b3o8bobobo3b3o$19b2ob2ob2ob2o2bo2b2o
2b2o11bo$13bob2o2b3o2b2obob2o2bob2o4bo4b3o3bo3bo$9b3ob2obob2o5bo3bobob
o4bo12b2o2bo$8bo6b2o14bo5bo3bo12bo$9b2o3bo3b2o2b4o3bo5b4obo5b2ob2o$20b
o3bob2o3b2o3b3o3b2ob2ob4o6bo9b2o$22b2o6bo7bo5b3o3b2o5b4o6bo2bo$34b2o2b
o2bo3bobo8bo3b2o4b2o3bo$9b3o23bo2b2o2bo4b2obo5bobo3bo3b5o$7b2obobo21bo
bo9b3o8b4ob2o$11bo23b4obo2b2o3bo9b2obobob3o3b2o$b3o2bo30b2o2b2obob2o4b
2ob5o3b4o4b2o$obob6o32bo8bob2o12bo4b4o$bo4bobo24bo7b2obo4b2o4bo6bobobo
bo3bo3b2obo$4b2o6b2obo3bo11b4o4b2o2bo4bo10bo4bo4bob2obo3b3o$8bob2obo2b
2ob3o3bo5bo3bo4bo2b2obobobob2o2b2obo6bob3o6bo3bo$10bo2bo4bo4b4o3bo3bo
8bo6bob2o2b3o8bobo10bo$9b2obob3obo4bo3bobobo8b3obob2obo5bo14b2o$13b3o
2b2o5bobo3b2o9bobobobo2bob4o$12bo3b3o2b2ob2o5b2o12b5o3bo2b2ob2o3bo$17b
2o3bo3b2o3bo10bo3bo2b2o2bo5bob2obob3ob2o$15bo2bo2bo4bo4b2o9bob2o3bo6b
2o5bobo4b2o$18bo9b2obob4ob3obob2o2bo3bo10bo3bobo2bo$36bobobob2ob2o5b2o
8b2o2bo$20bob2o6bo4b2obo4bo3bo6b2o6bobo$19b2ob2ob2ob3o4bo2b2o3b3obobo
2bo$18bo2bobob2ob5obo3bo9b3o$19bo6bo9bobob2o4bobo2b2obo$27bo6b2o2bobo
3bo3bo5bo$35b2obob4o6bo$32b2o5b4o3b2obobob2o$34bo3bo4b2ob5o$34b2o13bo$
34b2o8b4obo$33b2o4b2o2b2o4bo$38b3o3b2o2b2o$32bo2b3o2bo3bob2o$31b7obo4b
4ob2o$31b2ob2o6bo4bo$36bob3o6b2o2bo$34bo2bob2obo3bobobo$34bo7bobobobo$
38bo7bo$38bobo2bo$39bo2$41bo$39bobo$40b2o3$42bo$43b2o$42b2o3$45bo$46bo
$44b3o4$46bobo$47b2o$47bo3$50bo$48bobo$49b2o3$51bo$52b2o$51b2o3$54bo$
55bo$53b3o4$55bobo$56b2o$56bo3$59bo$57bobo$58b2o!

Merzenich noted that the glider stream could be filtered by a p6 ship, while Dmitry Maitak noted that a p21 could remove 2 out of every 7 gliders, giving rakes of the previously unsloved periods 18, 63, and 126:

Code: Select all

#C p126 c/3 orthogonal rake using p6 and p21 filters
#C Periods 18 and 63 can be achieved similarly
x = 132, y = 248, rule = B3/S23
50b2o$30bo14bob2ob2o$28b2obobo10b3obo3b2o$25bob2o2bo2bo8bo3b2obobo$24b
5o2bo2b2o8bo3b3obob2o$23bo5b2o2b2obob2o8b2o2bobob2ob2o$23bo2bo9bo3bo9b
ob3o4b2o$25b2o2bob2obobo4bo6bo3b2obobo3bo$21bo8b3o3bobo3bo10b3o$7bo4b
4o4b3o3bo4b3obobob4o4b2o$5b4ob3ob2o3bo3bo11bo4b2o13bo7b3o4b2obo$b2ob2o
9bo3b4o16b4o3b3o6bo6bo5bob2ob2o$b2o2bo4b2o2b2ob2ob4o15bo3bo4bo11b3o4b
2obobo2bo$o2bo10bo3bob2o2bo19bo2bo11bo2bob2obobo2bobo$10b3obobobo6bo6b
2o8bobo13bo3bo7bobo$6b2ob2obo4bo2bo5bo5b2ob2o6b2o13bobobo2bo2bo3bobo$
6b2o2bo11b2ob2o5b2o2b4o22bo2bobo4bob2o$5bo2bo3bobo9b3o3bo4bo4bo2bob2o
9b2ob2obob3ob2o2bo$28b3o7b2o4b3o4bob3o8bobobo5b2o$21b3o4bo18bo2b2obo5b
o4bobo2b2obo$21b6obob2o5b3o6b4obob2obo2bobo6bobobo$21bo2b3obob3o12bo3b
o$20b3obo3b2o2b4o4bo4bobobo4bo$20bo2bob2o2bo2bo2b2o3bo5b3o4b3o$16bo3bo
4bo7bo6b2o5bo3b2ob2o$9b2ob3ob3o2bo5b3obobobo3b2o14bo$9b2o4bo2bo6b4ob2o
b2o2bob2o9bo2b2o$8bo2bob2o3b2o3bo3bobo2b2ob2obobo6bo2bo$20bob2o2bo3bob
o7bobo3b2o2b2o$20bob2o2bo7b2o2b4ob2obobo8b3o7b4o$30b2o6b2o2b2o7bo4bobo
b2o5bob2o$10b2o22bo8b2o2bo3bo4bobobo5bo4bo$8bob2o22bobo2bo4b4obo7bob2o
b2obo2bo$7b2o3bo22b2o3bo2b2o16bob5o4bo$b2o4b2o29b2obo4b2o8bo2bobo9b2o$
b2ob2o2b2o28b2obo3b2o4b4ob2ob4o10b2o$o3b2o33bo3b4o2b3obobob3o2b3ob3o5b
ob2o$4bo2bo4b2o18b3o4b3o4bobo3bo5bo5bob3o3b3o2b4o$11bob4ob3o9b2obobo8b
ob3ob4obobo6bob3o2b2o3bo4bo$8b2obo3b2o3b2o2b3o7bo8b3o4bo5bob2o10b2o7b
2o$13bo2bobob4obo3bo9b2o3bobo3bo3b2o14b2o$10bo2bo3b2o2bo3bob6o8b2o3bob
o$14bob2o3bo3bo2b2obo9b2ob2ob2obob2o2b2ob2o$12b4o4b2o3bob3o12bo8b3o2b
2obobob3ob2obo$14b2o2b4o6b4o2bo7bob2o4bo6bobobo5b2ob2o$18b2o6bo2bobobo
2bo2bob2ob2o3b3o11bobobobo2bo$31bobo2b3obobo5b2ob2obo7b2obo5bo$23bo5bo
8bo7b3o2bo2bo7bo$19b3ob3o4bo3bobobo4b2o4bob2obo8bo$18bo6bobobo4bo3bo4b
2o4b2obo$19b2o3bo3bo2b3o2bobob2ob2obobo3b2o$27b9ob2ob2o2b5o4b2o$29b2ob
o3bobo3bo4bo3bobo$33bo5bo3bobobobobob2o$33bo6b2o6b3o$35b2ob6o2bo$34bo
5b2o$33bo8b2ob2ob3o10bo11bo$33bo4b2o2b2o15b4o9b4o$36b3ob3o3b2o7b2ob2o
3bo7bo3b2ob2o$32b4o3bo2b3o2b3o5b2o2bo3bo7bo3bo2b2o$31b2o6bo3b2o4b2o3bo
2bo7bo3bo7bo2bo$36bo7b2o2b3o14bo3bo$34b5ob2o2bobobobo9b2obo7bob2o$34b
2o4b3ob3obo11b2o11b2o$38b3o2bo4bo11bobo9bobo$38bobobobobo16b2o5b2o$40b
o20b3o7b3o$38bobo18b2o2bo7bo2b2o$39b2o19b2o11b2o$60bobo9bobo2$41bo18b
2o5bo5b2o$42b2o22b3o$41b2o17bo4bo3bo4bo$60bo5b3o5bo$59bobo3b5o3bobo$
44bo16bo2b2o3b2o2bo$45bo21bo$43b3o14bo6bo6bo$58b2ob2o2bobobo2b2ob2o$
62b3obobob3o$63bo7bo$45bobo18bobo$46b2o12b3obo5bob3o$46bo13b4o2bobo2b
4o$60b2o5bo5b2o$61bob2o2bo2b2obo$49bo9b2o3bo5bo3b2o$47bobo10b3o3b3o3b
3o$48b2o10b2obo7bob2o$61bo3b2ob2o3bo$60bo5bobo5bo$50bo9bob2o7b2obo$51b
2o6b2o6bo6b2o$50b2o7bo2b2o2bobo2b2o2bo$61bobo2b3o2bobo$64b3ob3o$53bo5b
o2bobo2bo2bobo2bo$54bo4b2obobo5bobob2o$52b3o3bobobo2bo3bo2bobobo$59bo
2b2o2bobo2b2o2bo$60bo4b2ob2o4bo$59b2o5bobo5b2o$54bobo2b6obobob6o$55b2o
4b2obobobobob2o$55bo10bobo13bo11bo$80b4o9b4o$76b2ob2o3bo7bo3b2ob2o$58b
o17b2o2bo3bo7bo3bo2b2o$56bobo16bo2bo7bo3bo7bo2bo$57b2o6bo3bo16bo3bo$
81b2obo7bob2o$81b2o11b2o$59bo21bobo9bobo$60b2o22b2o5b2o$59b2o21b3o7b3o
$80b2o2bo7bo2b2o$81b2o11b2o$62bo18bobo9bobo$63bo$61b3o17b2o5bo5b2o$87b
3o$81bo4bo3bo4bo$81bo5b3o5bo$80bobo3b5o3bobo$82bo2b2o3b2o2bo$88bo$81bo
6bo6bo$79b2ob2o2bobobo2b2ob2o$83b3obobob3o$84bo7bo$87bobo$81b3obo5bob
3o$81b4o2bobo2b4o$68bo12b2o5bo5b2o$69b2o11bob2o2bo2b2obo$68b2o10b2o3bo
5bo3b2o$81b3o3b3o3b3o$81b2obo7bob2o$71bo10bo3b2ob2o3bo$72bo8bo5bobo5bo
$70b3o8bob2o7b2obo$80b2o6bo6b2o$80bo2b2o2bobo2b2o2bo$82bobo2b3o2bobo$
72bobo10b3ob3o$73b2o5bo2bobo2bo2bobo2bo$73bo6b2obobo5bobob2o$79bobobo
2bo3bo2bobobo$80bo2b2o2bobo2b2o2bo$76bo4bo4b2ob2o4bo$74bobo3b2o5bobo5b
2o$75b2o3b6obobob6o$82b2obobobobob2o$85bobobobo11bo11bo$77bo8bo3bo10b
4o9b4o$78b2o17b2ob2o3bo7bo3b2ob2o$77b2o18b2o2bo3bo7bo3bo2b2o$96bo2bo7b
o3bo7bo2bo$107bo3bo$102b2obo7bob2o$102b2o11b2o$102bobo9bobo$105b2o5b2o
$103b3o7b3o$101b2o2bo7bo2b2o$102b2o11b2o$102bobo9bobo2$102b2o5bo5b2o$
108b3o$85bo16bo4bo3bo4bo$83bobo16bo5b3o5bo$84b2o15bobo3b5o3bobo$103bo
2b2o3b2o2bo$109bo$86bo15bo6bo6bo$87b2o11b2ob2o2bobobo2b2ob2o$86b2o16b
3obobob3o$105bo7bo$108bobo$89bo12b3obo5bob3o$90bo11b4o2bobo2b4o$88b3o
11b2o5bo5b2o$103bob2o2bo2b2obo$101b2o3bo5bo3b2o$102b3o3b3o3b3o$102b2ob
o7bob2o$103bo3b2ob2o3bo$102bo5bobo5bo$102bob2o7b2obo$101b2o6bo6b2o$
101bo2b2o2bobo2b2o2bo$103bobo2b3o2bobo$106b3ob3o$101bo2bobo2bo2bobo2bo
$101b2obobo5bobob2o$100bobobo2bo3bo2bobobo$101bo2b2o2bobo2b2o2bo$102bo
4b2ob2o4bo$101b2o5bobo5b2o$101b6obobob6o$103b2obobobobob2o$106bobobobo
$105bo2bobo2bo$105b3o3b3o3$99bobo$100b2o$100bo$118b2o3b2o$115b2ob2o3b
2ob2o$112b4o2bobobobo2b4o$111bo4bo2b2ob2o2bo4bo$112b2o6bobo6b2o$119bo
3bo$119bobobo$120b3o$121bo$119bo3bo$119bo3bo$118bo5bo$117bo2bobo2bo$
117b3o3b3o$116b3obobob3o$114bobob3ob3obobo$114bo5bobo5bo$120bobo$116bo
9bo$119bo3bo$117b2o5b2o$118b2o3b2o$119bo3bo$117bo7bo$117bo2bobo2bo$
117bo2bobo2bo$118b2o3b2o7$116bo$117bo$115b3o!

Amling and David Bell collided the output of two p9 rakes to get p99 puffers, the former of which Matthias Merzenich used to construct a crude p99 rake:

Code: Select all

#C Highly unoptimized p99 c/3 orthogonal rake by Matthias Merzenich
#C using a p99 puffer by Keith Amling
x = 514, y = 1158, rule = B3/S23
80b3o$60b2o13b2ob2obo$58b3ob2o11b2o4bob2o$55b2o5bob3o7bo2bo3bobobo$55b
2o5b2o17bobob3o$54bo4b3o2b2ob2obo8bo3bo3bob3o$55b3o2bob2obobo2b2o7bo8b
obobo87bo$56b2o5b2o2bo4bo9bo3b2o3bo87b4o$44b2o5b3o2b2o7bobob2o2bo4b2o
3b2ob2o90bo3bob3o12b3o$38b2o3bo2bo4b3o7bo2b3ob3o2bo12bo8bo81b2obo2bo3b
o8b4ob2o$35b2ob2o2b2o3bo2bo3bo8bobobobo7bo16b2o4b3ob2o70bobob2o3b2o9b
2o4bob3o$32b4o2bobo2b2o25bo2bo4b2o13bobo2b2o4b2o65bob2obobo2bo12bo4bob
o3bobo$31bo4bo8b5o4bo15bob3o2bobo11bobo3b2o2bobo2bo63b3obo2bobobo8b5ob
o4b2obo2bo$32b2o9bobobobobo2b2o19bo14b2obo3b2ob2obo65bo3bobo14b3obobo
2bob4obo$40b2obo2bo2bob2o3bo6b3o9b2o12bo3bob3ob2o2bo66bo2bob2obo3b2o5b
o2bobobob2o3bo5bo$37b4o2b2o3bo6bobo4bo3b2obo4b2o14bo2b2o2bo5bob2o71bo
9b4o2bo3bo5b2o2bobo5b2o$36bo4bo2bo9bo3bo3b3o3b3o3bobo11b2obobo4bobob2o
b2o53bo5b2o6b3o6bo23bo3bo3b2ob2o2b3o$37b2o15b2ob2o2b2o4bo3bo5bo7b3o4bo
2bo3b2o55b3ob3o2b2o16bo10bobo11b3o8bobo3b2obo$53b4ob2obo8bo4bo2bo2b2ob
4ob3o3bobobob2obo50bo6b5ob2o12bobo2b6o19bo3b4o3bo3b3o$52bo3bo2bo2bo5bo
11bobo8bo7bobo2bo51bobobo4bo2bob2o10bo4b4o15b2o3b2obobobo7bo3bo$51bo5b
obobobo5bo7b2obobob2o5bo9bo55b2obo7bob2o14bobo8bo8b5obo3bo2bo9bo$57bob
o5bo3b2o5bo3bo3b3o71bob3o3bobobobo12bo9b4o6bobob2obob3obob2obo$51bobo
5bo5b3o8bobobo3b3o68b2obob2o2bobobo2bobo13bo3b2ob2o3bo4b3o9b3o3b3o$50b
2ob2ob2ob2o2bo2b2o2b2o11bo71b2ob4obo4bob6o9bobo3b2o2bo7bo3bo9b2o2bo3bo
$44bob2o2b3o2b2obob2o2bob2o4bo4b3o3bo3bo68b2o7bobobo7bo6b3o3bo2bo6b2o
22bo$40b3ob2obob2o5bo3bobobo4bo12b2o2bo71b3obo2bo3b3ob2o2b4o19bobo5bo$
39bo6b2o14bo5bo3bo12bo72bobo2bo5b2o8bobob2o7bo6b2obo2bob3o$40b2o3bo3b
2o2b4o3bo5b4obo5b2ob2o79bo13bobo3bo2bo6b3o5bo2bob2o$51bo3bob2o3b2o3b3o
3b2ob2ob4o6bo9b2o80bobobo5b3o2b2o4bo6bo$53b2o6bo7bo5b3o3b2o5b4o6bo2bo
73bo2bo3bobo5bob3ob2o4bob2ob2ob2o$65b2o2bo2bo3bobo8bo3b2o4b2o3bo72b2ob
o11bo2bo3bo2bo3b2ob2o$40b3o23bo2b2o2bo4b2obo5bobo3bo3b5o75b2o4bo6b2ob
3obobo3bo3b3o3b3ob2obo$38b2obobo21bobo9b3o8b4ob2o80bob3o3bo9b2obo2bob
2ob3o4b2o4b2ob2o$42bo23b4obo2b2o3bo9b2obobob3o3b2o75b2o10bo6bo6bobo6bo
2bobo2bo$32b3o2bo30b2o2b2obob2o4b2ob5o3b4o4b2o75bo3b3o2b2obo3bo2b3o3b
4o3bo3bo5bo$31bobob6o32bo8bob2o12bo4b4o54b2o9b2o8bo4bo7bo3b2o3bo4bobo$
32bo4bobo24bo7b2obo4b2o4bo6bobobobo3bo3b2obo49b2ob2o4b2ob2o5bo2bo4b2o
2b2ob2o3bo7bo$35b2o6b2obo3bo11b4o4b2o2bo4bo10bo4bo4bob2obo3b3o47bo9b2o
3bo4b5ob2o5b2ob2o23bo$39bob2obo2b2ob3o3bo5bo3bo4bo2b2obobobob2o2b2obo
6bob3o6bo3bo47b3obo2b2o3bobo6bo9b4o24b4o$41bo2bo4bo4b4o3bo3bo8bo6bob2o
2b3o8bobo10bo47b3o3b3o2bo13bo2bo8bo21bo3bo$40b2obob3obo4bo3bobobo8b3ob
ob2obo5bo14b2o55b2o3bo5bo12bo3b4ob2o2bo23bo3bo4bo$44b3o2b2o5bobo3b2o9b
obobobo2bob4o68bo10b2ob2ob3ob2o4bob2ob2ob2o29bobob4o$43bo3b3o2b2ob2o5b
2o12b5o3bo2b2ob2o3bo58b3o6bo8b2o3bob2o4bo35b2o3bo3bo$48b2o3bo3b2o3bo
10bo3bo2b2o2bo5bob2obob3ob2o47b2ob2o7b2obobo8bo3b2o6b3o5b2o23b2o4bobo$
46bo2bo2bo4bo4b2o9bob2o3bo6b2o5bobo4b2o47b2o2bo2b3o7bo4bobo4b2ob2obo4b
2o4b2obo11b2obob4obobobo$49bo9b2obob4ob3obob2o2bo3bo10bo3bobo2bo45bo2b
o6bo3bo7bo2bo2b2o4bo2b3ob2o3bo3b2o3b2o4b2ob2o2bob3o$67bobobob2ob2o5b2o
8b2o2bo61bo3bo8bo2b4obobobo5bo8b2o3b2ob2obobo4bo$51bob2o6bo4b2obo4bo3b
o6b2o6bobo64bo18b6obob2o8b2o2b2o3bo4bobo3b4o$50b2ob2ob2ob3o4bo2b2o3b3o
bobo2bo89bo3b2obo5bobo13bo2bob2o2bo6b2o$49bo2bobob2ob5obo3bo9b3o81bobo
bob6o2bo9bo12bo2bob5o4b4o$50bo6bo9bobob2o4bobo2b2obo73b3ob2obob2obo8bo
5b2o12bo2b2o2b2o2bo$58bo6b2o2bobo3bo3bo5bo72bo6bobo12b3obobobo2bo3b3ob
o2bobo6b2o$66b2obob4o6bo77b2o3bo2bo9b2o9bobobob4ob2o$63b2o5b4o3b2obobo
b2o80bobo7b3o4b3o2bobobo7b2o$65bo3bo4b2ob5o86bo7bobo3b2o8bob2o4bo5b3ob
2o$65b2o13bo99b2ob2ob2o3b2ob3o5bob2o4b2o$65b2o8b4obo96b2obo3b3o3bobo2b
o3bo2bo4bobo2bo$64b2o4b2o2b2o4bo96bob2obo6b2obo3b2ob4ob2o$69b3o3b2o2b
2o96bobobobo3bo4bo3bo$63bo2b3o2bo3bob2o97b2o2b4o3bo4b4obo$62b7obo4b4ob
2o97bo4b3o5b2ob3o$62b2ob2o6bo4bo105b2ob5o3b2o$67bob3o6b2o2bo104bo9bo$
65bo2bob2obo3bobobo98b2o2b4o$65bo7bobobobo100b2obo3bo2bobo2b3o$69bo7bo
103b4o4bo2b6o$71bo2bo105bo6bo2bo7b2o$69b3o114b2o4b2o$180b2o3bo4bo8bo$
181b2obo5bob3ob2o$182bob2obo2bo2bobo$71bobo107bo2bo2bobob2o$72b2o109bo
bobo3bo$72bo119bo$191bo2$75bo114bo$73bobo112b2o$74b2o113b2o3$76bo110bo
$77b2o107bo$76b2o108b3o3$79bo$80bo103bobo$78b3o103b2o$185bo3$80bobo99b
o$81b2o99bobo$81bo100b2o3$84bo96bo$82bobo94b2o$83b2o95b2o3$85bo92bo$
86b2o89bo$85b2o90b3o3$88bo$89bo85bobo$87b3o85b2o$176bo3$89bobo81bo$90b
2o81bobo$90bo82b2o3$93bo78bo$91bobo76b2o$92b2o77b2o3$94bo74bo$95b2o71b
o$94b2o72b3o3$97bo$98bo67bobo$96b3o67b2o$167bo3$98bobo63bo$99b2o63bobo
$99bo64b2o3$102bo60bo$100bobo58b2o$101b2o59b2o3$103bo56bo$104b2o53bo$
103b2o54b3o3$106bo$107bo49bobo$105b3o49b2o$158bo3$107bobo45bo$108b2o
45bobo$108bo46b2o3$111bo42bo$109bobo40b2o$110b2o41b2o3$112bo38bo$113b
2o35bo$112b2o36b3o3$115bo$116bo31bobo$114b3o31b2o$149bo3$116bobo27bo$
117b2o27bobo$117bo28b2o3$120bo24bo$118bobo22b2o$119b2o23b2o3$121bo20bo
$122b2o17bo$121b2o18b3o3$124bo$125bo13bobo$123b3o13b2o$140bo3$125bobo
9bo$50bo75b2o9bobo$48b4o74bo10b2o$29b3o12b3obo3bo$28b2ob4o8bo3bo2bob2o
$24b3obo4b2o9b2o3b2obobo74bo6bo$23bobo3bobo4bo12bo2bobob2obo67bobo4b2o
$23bo2bob2o4bob5o8bobobo2bob3o67b2o5b2o$24bob4obo2bobob3o14bobo3bo$21b
o5bo3b2obobobo2bo5b2o3bob2obo2bo$13b2o5bobo2b2o5bo3bo2b4o9bo76b3o$6b3o
2b2ob2o3bo3bo23bo6b3o6b2o5bo58bo$2bob2o3bobo8b3o11bobo10bo16b2o2b3ob3o
54bobo$b3o3bo3b4o3bo19b6o2bobo12b2ob5o6bo54b2o$o3bo7bobobob2o3b2o15b4o
4bo10b2obo2bo4bobobo$bo9bo2bo3bob5o8bo8bobo14b2obo7bob2o$7bob2obob3obo
b2obobo6b4o9bo12bobobobo3b3obo57bobo$6b3o3b3o9b3o4bo3b2ob2o3bo13bobo2b
obobo2b2obob2o54b2o$5bo3bo2b2o9bo3bo7bo2b2o3bobo9b6obo4bob4ob2o55bo$6b
o22b2o6bo2bo3b3o6bo7bobobo7b2o59b2o$22bo5bobo19b4o2b2ob3o3bo2bob3o61b
2o$21b3obo2bob2o6bo7b2obobo8b2o5bo2bobo58bo$25b2obo2bo5b3o6bo2bo3bobo
13bo59b6o$21bo6bo4b2o2b3o5bobobo84b2o$19b2ob2ob2obo4b2ob3obo5bobo3bo2b
o73b2o5bo$22b2ob2o3bo2bo3bo2bo11bob2o74bo4bo$10bob2ob3o3b3o3bo3bobob3o
b2o6bo4b2o76b2ob2o$9b2ob2o4b2o4b3ob2obo2bob2o9bo3b3obo75bob2o$8bo2bobo
2bo6bobo6bo6bo10b2o80bo$9bo5bo3bo3b4o3b3o2bo3bob2o2b3o3bo$19bobo4bo3b
2o3bo7bo4bo8b2o9b2o$23bo7bo3b2ob2o2b2o4bo2bo5b2ob2o4b2ob2o$10bo23b2ob
2o5b2ob5o4bo3b2o9bo$8b4o24b4o9bo6bobo3b2o2bob3o$8bo3bo21bo8bo2bo13bo2b
3o3b3o$2bo4bo3bo23bo2b2ob4o3bo12bo5bo3b2o$b4obobo29b2ob2ob2obo4b2ob3ob
2ob2o10bo$o3bo3b2o35bo4b2obo3b2o8bo6b3o$bobo4b2o23b2o5b3o6b2o3bo8bobob
2o7b2ob2o$5bobobob4obob2o11bob2o4b2o4bob2ob2o4bobo4bo7b3o2bo2b2o$9b3ob
o2b2ob2o4b2o3b2o3bo3b2ob3o2bo4b2o2bo2bo7bo3bo6bo2bo$13bo4bobob2ob2o3b
2o8bo5bobobob4o2bo8bo3bo$9b4o3bobo4bo3b2o2b2o8b2obob6o18bo$11b2o6bo2b
2obo2bo13bobo5bob2o3bo$13b4o4b5obo2bo12bo9bo2b6obobobo$19bo2b2o2b2o2bo
12b2o5bo8bob2obob2ob3o$18b2o6bobo2bob3o3bo2bobobob3o12bobo6bo$30b2ob4o
bobobo9b2o9bo2bo3b2o$29b2o7bobobo2b3o4b3o7bobo$19b2ob3o5bo4b2obo8b2o3b
obo7bo$19b2o4b2obo5b3ob2o3b2ob2ob2o$18bo2bobo4bo2bo3bo2bobo3b3o3bob2o$
25b2ob4ob2o3bob2o6bob2obo$34bo3bo4bo3bobobobo72b2o$33bob4o4bo3b4o2b2o
70bo2bo$33b3ob2o5b3o4bo74b2o$34b2o3b5ob2o$33bo9bo$43b4o2b2o$33b3o2bobo
2bo3bob2o$33b6o2bo4b4o79b2o$31b2o7bo2bo6bo78b2o$37b2o4b2o$31bo8bo4bo3b
2o$33b2ob3obo5bob2o$35bobo2bo2bob2obo$38b2obobo2bo2bo$39bo3bobobo$38bo
$39bo2$40bo$41b2o$40b2o3$43bo$44bo$42b3o4$44bobo$45b2o$45bo2$126b2o$
48bo76bo2bo$46bobo77b2o$47b2o3$49bo$50b2o77b2o$49b2o78b2o3$52bo$53bo$
51b3o4$53bobo$54b2o$54bo3$57bo$55bobo$56b2o3$58bo$59b2o$58b2o3$61bo$
62bo63b2o$60b3o62bo2bo$126b2o3$62bobo$63b2o$63bo65b2o$129b2o2$66bo$64b
obo$65b2o3$67bo$68b2o$67b2o3$70bo$71bo$69b3o4$71bobo$72b2o$72bo3$75bo$
73bobo$74b2o50b2o$125bo2bo$126b2o$76bo$77b2o$76b2o2$129b2o$79bo49b2o$
80bo$78b3o4$80bobo$81b2o$81bo3$84bo$82bobo$83b2o3$85bo$86b2o$85b2o116b
3o$183b2o13b2ob2obo$181b3ob2o11b2o4bob2o$88bo89b2o5bob3o7bo2bo3bobobo$
89bo88b2o5b2o17bobob3o$87b3o87bo4b3o2b2ob2obo8bo3bo3bob3o$178b3o2bob2o
bobo2b2o7bo8bobobo87bo$126b2o51b2o5b2o2bo4bo9bo3b2o3bo87b4o$125bo2bo
38b2o5b3o2b2o7bobob2o2bo4b2o3b2ob2o90bo3bob3o12b3o$89bobo34b2o33b2o3bo
2bo4b3o7bo2b3ob3o2bo12bo8bo81b2obo2bo3bo8b4ob2o$90b2o66b2ob2o2b2o3bo2b
o3bo8bobobobo7bo16b2o4b3ob2o70bobob2o3b2o9b2o4bob3o$90bo64b4o2bobo2b2o
25bo2bo4b2o13bobo2b2o4b2o65bob2obobo2bo12bo4bobo3bobo$154bo4bo8b5o4bo
15bob3o2bobo11bobo3b2o2bobo2bo63b3obo2bobobo8b5obo4b2obo2bo$155b2o9bob
obobobo2b2o19bo14b2obo3b2ob2obo65bo3bobo14b3obobo2bob4obo$93bo35b2o32b
2obo2bo2bob2o3bo6b3o9b2o12bo3bob3ob2o2bo66bo2bob2obo3b2o5bo2bobobob2o
3bo5bo$91bobo35b2o29b4o2b2o3bo6bobo4bo3b2obo4b2o14bo2b2o2bo5bob2o71bo
9b4o2bo3bo5b2o2bobo5b2o$92b2o65bo4bo2bo9bo3bo3b3o3b3o3bobo11b2obobo4bo
bob2ob2o53bo5b2o6b3o6bo23bo3bo3b2ob2o2b3o$160b2o15b2ob2o2b2o4bo3bo5bo
7b3o4bo2bo3b2o55b3ob3o2b2o16bo10bobo11b3o8bobo3b2obo$176b4ob2obo8bo4bo
2bo2b2ob4ob3o3bobobob2obo50bo6b5ob2o12bobo2b6o19bo3b4o3bo3b3o$94bo80bo
3bo2bo2bo5bo11bobo8bo7bobo2bo51bobobo4bo2bob2o10bo4b4o15b2o3b2obobobo
7bo3bo$95b2o77bo5bobobobo5bo7b2obobob2o5bo9bo55b2obo7bob2o14bobo8bo8b
5obo3bo2bo9bo$94b2o84bobo5bo3b2o5bo3bo3b3o71bob3o3bobobobo12bo9b4o6bob
ob2obob3obob2obo$174bobo5bo5b3o8bobobo3b3o68b2obob2o2bobobo2bobo13bo3b
2ob2o3bo4b3o9b3o3b3o$173b2ob2ob2ob2o2bo2b2o2b2o11bo71b2ob4obo4bob6o9bo
bo3b2o2bo7bo3bo9b2o2bo3bo$97bo69bob2o2b3o2b2obob2o2bob2o4bo4b3o3bo3bo
68b2o7bobobo7bo6b3o3bo2bo6b2o22bo$98bo64b3ob2obob2o5bo3bobobo4bo12b2o
2bo71b3obo2bo3b3ob2o2b4o19bobo5bo$96b3o63bo6b2o14bo5bo3bo12bo72bobo2bo
5b2o8bobob2o7bo6b2obo2bob3o$163b2o3bo3b2o2b4o3bo5b4obo5b2ob2o79bo13bob
o3bo2bo6b3o5bo2bob2o$174bo3bob2o3b2o3b3o3b2ob2ob4o6bo9b2o80bobobo5b3o
2b2o4bo6bo$176b2o6bo7bo5b3o3b2o5b4o6bo2bo73bo2bo3bobo5bob3ob2o4bob2ob
2ob2o$98bobo87b2o2bo2bo3bobo8bo3b2o4b2o3bo72b2obo11bo2bo3bo2bo3b2ob2o$
99b2o62b3o23bo2b2o2bo4b2obo5bobo3bo3b5o75b2o4bo6b2ob3obobo3bo3b3o3b3ob
2obo$99bo61b2obobo21bobo9b3o8b4ob2o80bob3o3bo9b2obo2bob2ob3o4b2o4b2ob
2o$165bo23b4obo2b2o3bo9b2obobob3o3b2o75b2o10bo6bo6bobo6bo2bobo2bo$155b
3o2bo30b2o2b2obob2o4b2ob5o3b4o4b2o75bo3b3o2b2obo3bo2b3o3b4o3bo3bo5bo$
102bo51bobob6o32bo8bob2o12bo4b4o54b2o9b2o8bo4bo7bo3b2o3bo4bobo$100bobo
52bo4bobo24bo7b2obo4b2o4bo6bobobobo3bo3b2obo49b2ob2o4b2ob2o5bo2bo4b2o
2b2ob2o3bo7bo$101b2o55b2o6b2obo3bo11b4o4b2o2bo4bo10bo4bo4bob2obo3b3o
47bo9b2o3bo4b5ob2o5b2ob2o23bo$162bob2obo2b2ob3o3bo5bo3bo4bo2b2obobobob
2o2b2obo6bob3o6bo3bo47b3obo2b2o3bobo6bo9b4o24b4o$164bo2bo4bo4b4o3bo3bo
8bo6bob2o2b3o8bobo10bo47b3o3b3o2bo13bo2bo8bo21bo3bo$103bo22b2o35b2obob
3obo4bo3bobobo8b3obob2obo5bo14b2o55b2o3bo5bo12bo3b4ob2o2bo23bo3bo4bo$
104b2o19bo2bo38b3o2b2o5bobo3b2o9bobobobo2bob4o68bo10b2ob2ob3ob2o4bob2o
b2ob2o29bobob4o$103b2o21b2o38bo3b3o2b2ob2o5b2o12b5o3bo2b2ob2o3bo58b3o
6bo8b2o3bob2o4bo35b2o3bo3bo$171b2o3bo3b2o3bo10bo3bo2b2o2bo5bob2obob3ob
2o47b2ob2o7b2obobo8bo3b2o6b3o5b2o23b2o4bobo$169bo2bo2bo4bo4b2o9bob2o3b
o6b2o5bobo4b2o47b2o2bo2b3o7bo4bobo4b2ob2obo4b2o4b2obo11b2obob4obobobo$
106bo65bo9b2obob4ob3obob2o2bo3bo10bo3bobo2bo45bo2bo6bo3bo7bo2bo2b2o4bo
2b3ob2o3bo3b2o3b2o4b2ob2o2bob3o$107bo82bobobob2ob2o5b2o8b2o2bo61bo3bo
8bo2b4obobobo5bo8b2o3b2ob2obobo4bo$105b3o21b2o43bob2o6bo4b2obo4bo3bo6b
2o6bobo64bo18b6obob2o8b2o2b2o3bo4bobo3b4o$129b2o42b2ob2ob2ob3o4bo2b2o
3b3obobo2bo89bo3b2obo5bobo13bo2bob2o2bo6b2o$172bo2bobob2ob5obo3bo9b3o
81bobobob6o2bo9bo12bo2bob5o4b4o$173bo6bo9bobob2o4bobo2b2obo73b3ob2obob
2obo8bo5b2o12bo2b2o2b2o2bo$107bobo71bo6b2o2bobo3bo3bo5bo72bo6bobo12b3o
bobobo2bo3b3obo2bobo6b2o$108b2o79b2obob4o6bo77b2o3bo2bo9b2o9bobobob4ob
2o$108bo77b2o5b4o3b2obobob2o80bobo7b3o4b3o2bobobo7b2o$188bo3bo4b2ob5o
86bo7bobo3b2o8bob2o4bo5b3ob2o$188b2o13bo99b2ob2ob2o3b2ob3o5bob2o4b2o$
111bo76b2o8b4obo96b2obo3b3o3bobo2bo3bo2bo4bobo2bo$109bobo75b2o4b2o2b2o
4bo96bob2obo6b2obo3b2ob4ob2o$110b2o80b3o3b2o2b2o96bobobobo3bo4bo3bo$
186bo2b3o2bo3bob2o97b2o2b4o3bo4b4obo$185b7obo4b4ob2o97bo4b3o5b2ob3o$
112bo72b2ob2o6bo4bo105b2ob5o3b2o$113b2o75bob3o6b2o2bo104bo9bo$112b2o
74bo2bob2obo3bobobo98b2o2b4o$188bo7bobobobo100b2obo3bo2bobo2b3o$192bo
7bo103b4o4bo2b6o$115bo78bo2bo105bo6bo2bo7b2o$116bo75b3o114b2o4b2o$114b
3o186b2o3bo4bo8bo$304b2obo5bob3ob2o$305bob2obo2bo2bobo$194bobo107bo2bo
2bobob2o$116bobo76b2o109bobobo3bo$117b2o7b2o67bo119bo$117bo7bo2bo185bo
$126b2o$198bo114bo$120bo75bobo112b2o$118bobo76b2o113b2o$119b2o$129b2o$
129b2o68bo110bo$121bo78b2o107bo$122b2o75b2o108b3o$121b2o2$202bo$124bo
78bo103bobo$125bo75b3o103b2o$123b3o182bo3$203bobo99bo$125bobo76b2o99bo
bo$126b2o76bo100b2o$126bo2$207bo96bo$129bo75bobo94b2o$127bobo76b2o95b
2o$128b2o2$208bo92bo$130bo78b2o89bo$131b2o75b2o90b3o$130b2o2$211bo$
133bo78bo85bobo$134bo75b3o85b2o$132b3o164bo3$212bobo81bo$213b2o81bobo$
213bo82b2o3$216bo78bo$214bobo76b2o$215b2o77b2o3$217bo74bo$218b2o71bo$
217b2o72b3o3$220bo$221bo67bobo$219b3o67b2o$290bo3$221bobo63bo$143bobo
76b2o63bobo$144b2o76bo64b2o$144bo2$225bo60bo$147bo75bobo58b2o$145bobo
76b2o59b2o$146b2o2$226bo56bo$148bo78b2o53bo$149b2o75b2o54b3o$148b2o2$
229bo$151bo78bo49bobo$152bo75b3o49b2o$150b3o128bo3$230bobo45bo$152bobo
76b2o45bobo$153b2o76bo46b2o$153bo2$234bo42bo$156bo75bobo40b2o$154bobo
76b2o41b2o$155b2o2$235bo38bo$157bo78b2o35bo$158b2o75b2o36b3o$157b2o2$
238bo$239bo31bobo$237b3o31b2o$272bo3$239bobo27bo$240b2o27bobo$240bo28b
2o$462b3o$463bob2ob2o13b2o$243bo24bo191b2obo4b2o11b2ob3o$241bobo22b2o
191bobobo3bo2bo7b3obo5b2o$242b2o23b2o188b3obobo17b2o5b2o$453b3obo3bo3b
o8bob2ob2o2b3o4bo$364bo87bobobo8bo7b2o2bobob2obo2b3o$244bo20bo96b4o87b
o3b2o3bo9bo4bo2b2o5b2o$245b2o17bo78b3o12b3obo3bo90b2ob2o3b2o4bo2b2obob
o7b2o2b3o5b2o$244b2o18b3o75b2ob4o8bo3bo2bob2o81bo8bo12bo2b3ob3o2bo7b3o
4bo2bo3b2o$338b3obo4b2o9b2o3b2obobo70b2ob3o4b2o16bo7bobobobo8bo3bo2bo
3b2o2b2ob2o$337bobo3bobo4bo12bo2bobob2obo65b2o4b2o2bobo13b2o4bo2bo25b
2o2bobo2b4o$247bo89bo2bob2o4bob5o8bobobo2bob3o63bo2bobo2b2o3bobo11bobo
2b3obo15bo4b5o8bo4bo$169bo78bo13bobo73bob4obo2bobob3o14bobo3bo65bob2ob
2o3bob2o14bo19b2o2bobobobobo9b2o$170bo75b3o13b2o71bo5bo3b2obobobo2bo5b
2o3bob2obo2bo66bo2b2ob3obo3bo12b2o9b3o6bo3b2obo2bo2bob2o$168b3o92bo63b
2o5bobo2b2o5bo3bo2b4o9bo71b2obo5bo2b2o2bo14b2o4bob2o3bo4bobo6bo3b2o2b
4o$320b3o2b2ob2o3bo3bo23bo6b3o6b2o5bo53b2ob2obobo4bobob2o11bobo3b3o3b
3o3bo3bo9bo2bo4bo$316bob2o3bobo8b3o11bobo10bo16b2o2b3ob3o55b2o3bo2bo4b
3o7bo5bo3bo4b2o2b2ob2o15b2o$248bobo9bo54b3o3bo3b4o3bo19b6o2bobo12b2ob
5o6bo50bob2obobobo3b3ob4ob2o2bo2bo4bo8bob2ob4o$170bobo76b2o9bobo51bo3b
o7bobobob2o3b2o15b4o4bo10b2obo2bo4bobobo51bo2bobo7bo8bobo11bo5bo2bo2bo
3bo$171b2o76bo10b2o53bo9bo2bo3bob5o8bo8bobo14b2obo7bob2o55bo9bo5b2obob
ob2o7bo5bobobobo5bo$171bo149bob2obob3obob2obobo6b4o9bo12bobobobo3b3obo
71b3o3bo3bo5b2o3bo5bobo$320b3o3b3o9b3o4bo3b2ob2o3bo13bobo2bobobo2b2obo
b2o68b3o3bobobo8b3o5bo5bobo$252bo6bo59bo3bo2b2o9bo3bo7bo2b2o3bobo9b6ob
o4bob4ob2o71bo11b2o2b2o2bo2b2ob2ob2ob2o$174bo75bobo4b2o61bo22b2o6bo2bo
3b3o6bo7bobobo7b2o68bo3bo3b3o4bo4b2obo2b2obob2o2b3o2b2obo$172bobo76b2o
5b2o76bo5bobo19b4o2b2ob3o3bo2bob3o71bo2b2o12bo4bobobo3bo5b2obob2ob3o$
173b2o160b3obo2bob2o6bo7b2obobo8b2o5bo2bobo72bo12bo3bo5bo14b2o6bo$339b
2obo2bo5b3o6bo2bo3bobo13bo79b2ob2o5bob4o5bo3b4o2b2o3bo3b2o$252b3o80bo
6bo4b2o2b3o5bobobo80b2o9bo6b4ob2ob2o3b3o3b2o3b2obo3bo$175bo76bo80b2ob
2ob2obo4b2ob3obo5bobo3bo2bo73bo2bo6b4o5b2o3b3o5bo7bo6b2o$176b2o74bobo
81b2ob2o3bo2bo3bo2bo11bob2o72bo3b2o4b2o3bo8bobo3bo2bo2b2o$175b2o76b2o
69bob2ob3o3b3o3bo3bobob3ob2o6bo4b2o75b5o3bo3bobo5bob2o4bo2b2o2bo23b3o$
323b2ob2o4b2o4b3ob2obo2bob2o9bo3b3obo80b2ob4o8b3o9bobo21bobob2o$322bo
2bobo2bo6bobo6bo6bo10b2o75b2o3b3obobob2o9bo3b2o2bob4o23bo$178bo74bobo
67bo5bo3bo3b4o3b3o2bo3bob2o2b3o3bo75b2o4b4o3b5ob2o4b2obob2o2b2o30bo2b
3o$179bo73b2o78bobo4bo3b2o3bo7bo4bo8b2o9b2o54b4o4bo12b2obo8bo32b6obobo
$177b3o74bo82bo7bo3b2ob2o2b2o4bo2bo5b2ob2o4b2ob2o49bob2o3bo3bobobobo6b
o4b2o4bob2o7bo24bobo4bo$257b2o65bo23b2ob2o5b2ob5o4bo3b2o9bo47b3o3bob2o
bo4bo4bo10bo4bo2b2o4b4o11bo3bob2o6b2o$257b2o63b4o24b4o9bo6bobo3b2o2bob
3o47bo3bo6b3obo6bob2o2b2obobobob2o2bo4bo3bo5bo3b3ob2o2bob2obo$254bo67b
o3bo21bo8bo2bo13bo2b3o3b3o47bo10bobo8b3o2b2obo6bo8bo3bo3b4o4bo4bo2bo$
179bobo70b6o58bo4bo3bo23bo2b2ob4o3bo12bo5bo3b2o55b2o14bo5bob2obob3o8bo
bobo3bo4bob3obob2o$180b2o75b2o56b4obobo29b2ob2ob2obo4b2ob3ob2ob2o10bo
68b4obo2bobobobo9b2o3bobo5b2o2b3o$180bo71b2o5bo54bo3bo3b2o35bo4b2obo3b
2o8bo6b3o58bo3b2ob2o2bo3b5o12b2o5b2ob2o2b3o3bo$253bo4bo56bobo4b2o23b2o
5b3o6b2o3bo8bobob2o7b2ob2o47b2ob3obob2obo5bo2b2o2bo3bo10bo3b2o3bo3b2o$
253b2ob2o61bobobob4obob2o11bob2o4b2o4bob2ob2o4bobo4bo7b3o2bo2b2o47b2o
4bobo5b2o6bo3b2obo9b2o4bo4bo2bo2bo$183bo70bob2o65b3obo2b2ob2o4b2o3b2o
3bo3b2ob3o2bo4b2o2bo2bo7bo3bo6bo2bo45bo2bobo3bo10bo3bo2b2obob3ob4obob
2o9bo$181bobo71bo71bo4bobob2ob2o3b2o8bo5bobobob4o2bo8bo3bo61bo2b2o8b2o
5b2ob2obobobo$182b2o139b4o3bobo4bo3b2o2b2o8b2obob6o18bo64bobo6b2o6bo3b
o4bob2o4bo6b2obo$325b2o6bo2b2obo2bo13bobo5bob2o3bo89bo2bobob3o3b2o2bo
4b3ob2ob2ob2o$327b4o4b5obo2bo12bo9bo2b6obobobo81b3o9bo3bob5ob2obobo2bo
$333bo2b2o2b2o2bo12b2o5bo8bob2obob2ob3o73bob2o2bobo4b2obobo9bo6bo$332b
2o6bobo2bob3o3bo2bobobob3o12bobo6bo72bo5bo3bo3bobo2b2o6bo$344b2ob4obob
obo9b2o9bo2bo3b2o77bo6b4obob2o$343b2o7bobobo2b3o4b3o7bobo80b2obobob2o
3b4o5b2o$333b2ob3o5bo4b2obo8b2o3bobo7bo86b5ob2o4bo3bo$333b2o4b2obo5b3o
b2o3b2ob2ob2o99bo13b2o$332bo2bobo4bo2bo3bo2bobo3b3o3bob2o96bob4o8b2o$
339b2ob4ob2o3bob2o6bob2obo96bo4b2o2b2o4b2o$348bo3bo4bo3bobobobo96b2o2b
2o3b3o$347bob4o4bo3b4o2b2o97b2obo3bo2b3o2bo$347b3ob2o5b3o4bo97b2ob4o4b
ob7o$348b2o3b5ob2o105bo4bo6b2ob2o$347bo9bo104bo2b2o6b3obo$357b4o2b2o
98bobobo3bob2obo2bo$347b3o2bobo2bo3bob2o100bobobobo7bo$347b6o2bo4b4o
103bo7bo$345b2o7bo2bo6bo105bo2bo$351b2o4b2o114b3o$345bo8bo4bo3b2o$347b
2ob3obo5bob2o$349bobo2bo2bob2obo$193bo55b2o101b2obobo2bo2bo107bobo$
194b2o52bo2bo101bo3bobobo109b2o$193b2o54b2o101bo119bo$353bo2$196bo157b
o114bo$197bo157b2o112bobo$195b3o54b2o100b2o113b2o$252b2o2$357bo110bo$
197bobo158bo107b2o$198b2o156b3o108b2o$198bo2$465bo$201bo156bobo103bo$
199bobo157b2o103b3o$200b2o157bo3$202bo159bo99bobo$203b2o155bobo99b2o$
202b2o157b2o100bo3$205bo157bo96bo$206bo157b2o94bobo$204b3o156b2o95b2o
3$366bo92bo$206bobo158bo89b2o$207b2o40b2o114b3o90b2o$207bo40bo2bo$249b
2o$456bo$367bobo85bo$368b2o85b3o$368bo$252b2o$252b2o$371bo81bobo$369bo
bo81b2o$370b2o82bo3$372bo78bo$373b2o76bobo$372b2o77b2o3$375bo74bo$376b
o71b2o$374b3o72b2o3$447bo$219bo156bobo67bo$217bobo157b2o67b3o$218b2o
157bo3$220bo159bo63bobo$221b2o155bobo63b2o$220b2o157b2o64bo$249b2o$
248bo2bo$223bo25b2o130bo60bo$224bo157b2o58bobo$222b3o156b2o59b2o3$252b
2o130bo56bo$224bobo25b2o131bo53b2o$225b2o156b3o54b2o$225bo2$438bo$228b
o156bobo49bo$226bobo157b2o49b3o$227b2o157bo3$229bo159bo45bobo$230b2o
155bobo45b2o$229b2o157b2o46bo3$232bo157bo42bo$233bo157b2o40bobo$231b3o
156b2o41b2o3$393bo38bo$394bo35b2o$392b3o36b2o3$249b2o178bo$248bo2bo
142bobo31bo$249b2o144b2o31b3o$395bo3$398bo27bobo$252b2o142bobo27b2o$
252b2o143b2o28bo3$399bo24bo$400b2o22bobo$399b2o23b2o3$402bo20bo$242bob
o158bo17b2o$243b2o156b3o18b2o$243bo2$420bo$246bo156bobo13bo$244bobo
157b2o13b3o$245b2o157bo3$247bo159bo9bobo$248b2o155bobo9b2o$247b2o157b
2o10bo3$408bo6bo$409b2o4bobo$408b2o5b2o3$242b2o169b3o$241bobo171bo$
242bo170bobo$247b3o4bo158b2o$247b3o3bobo$246bobob5o$247bo4bo159bobo$
248bo2bo161b2o$251bo161bo$409b2o$247bo2bo158b2o$249bo163bo$410b6o$409b
2o$408bo5b2o$409bo4bo$410b2ob2o$410b2obo$412bo19$268bo$269bo$267b3o4$
269bobo145b2o$270b2o144bo2bo$270bo146b2o3$273bo$271bobo$272b2o140b2o$
414b2o25$417b2o$416bo2bo$417b2o5$414b2o$414b2o11$292bo$293b2o$292b2o3$
295bo$296bo$294b3o4$296bobo$297b2o$297bo$417b2o$416bo2bo$417b2o5$414b
2o$414b2o25$417b2o$416bo2bo$417b2o5$414b2o$414b2o3$318bo$316bobo$317b
2o3$319bo$320b2o$319b2o3$322bo$323bo$321b3o10$417b2o$416bo2bo$417b2o5$
414b2o$414b2o25$417b2o$416bo2bo$417b2o$341bobo$342b2o$342bo2$414b2o$
345bo68b2o$343bobo$344b2o3$346bo$347b2o$346b2o18$417b2o$416bo2bo$417b
2o5$414b2o$414b2o19$367bo$368bo$366b3o4$368bobo46b2o$369b2o45bo2bo$
369bo47b2o3$372bo$370bobo$371b2o41b2o$414b2o25$417b2o$416bo2bo$417b2o
5$414b2o$414b2o11$391bo$392b2o$391b2o3$394bo$395bo$393b3o4$395bobo$
396b2o$396bo$417b2o$416bo2bo$417b2o5$414b2o$414b2o46$421bo$422bo$420b
3o!

Code: Select all

#C A c/3 period 99 block puffer and spaceship.
#C This uses two backward period 9 rakes whose interactions are
#C perturbed by a period 3 spaceship.
#C David I. Bell, 12 January 2024
x = 132, y = 280, rule = B3/S23
49b3o$29b2o13b2ob2obo$27b3ob2o11b2o4bob2o$24b2o5bob3o7bo2bo3bobobo$24b
2o5b2o17bobob3o$23bo4b3o2b2ob2obo8bo3bo3bob3o$24b3o2bob2obobo2b2o7bo8b
obobo$25b2o5b2o2bo4bo9bo3b2o3bo$13b2o5b3o2b2o7bobob2o2bo4b2o3b2ob2o$7b
2o3bo2bo4b3o7bo2b3ob3o2bo12bo8bo$4b2ob2o2b2o3bo2bo3bo8bobobobo7bo16b2o
4b3ob2o$b4o2bobo2b2o25bo2bo4b2o13bobo2b2o4b2o$o4bo8b5o4bo15bob3o2bobo
11bobo3b2o2bobo2bo$b2o9bobobobobo2b2o19bo14b2obo3b2ob2obo$9b2obo2bo2bo
b2o3bo6b3o9b2o12bo3bob3ob2o2bo$6b4o2b2o3bo6bobo4bo3b2obo4b2o14bo2b2o2b
o5bob2o$5bo4bo2bo9bo3bo3b3o3b3o3bobo11b2obobo4bobob2ob2o$6b2o15b2ob2o
2b2o4bo3bo5bo7b3o4bo2bo3b2o$22b4ob2obo8bo4bo2bo2b2ob4ob3o3bobobob2obo$
21bo3bo2bo2bo5bo11bobo8bo7bobo2bo$20bo5bobobobo5bo7b2obobob2o5bo9bo$
26bobo5bo3b2o5bo3bo3b3o$20bobo5bo5b3o8bobobo3b3o$19b2ob2ob2ob2o2bo2b2o
2b2o11bo$13bob2o2b3o2b2obob2o2bob2o4bo4b3o3bo3bo$9b3ob2obob2o5bo3bobob
o4bo12b2o2bo$8bo6b2o14bo5bo3bo12bo$9b2o3bo3b2o2b4o3bo5b4obo5b2ob2o$20b
o3bob2o3b2o3b3o3b2ob2ob4o6bo9b2o$22b2o6bo7bo5b3o3b2o5b4o6bo2bo$34b2o2b
o2bo3bobo8bo3b2o4b2o3bo$9b3o23bo2b2o2bo4b2obo5bobo3bo3b5o$7b2obobo21bo
bo9b3o8b4ob2o$11bo23b4obo2b2o3bo9b2obobob3o3b2o$b3o2bo30b2o2b2obob2o4b
2ob5o3b4o4b2o$obob6o32bo8bob2o12bo4b4o$bo4bobo24bo7b2obo4b2o4bo6bobobo
bo3bo3b2obo$4b2o6b2obo3bo11b4o4b2o2bo4bo10bo4bo4bob2obo3b3o$8bob2obo2b
2ob3o3bo5bo3bo4bo2b2obobobob2o2b2obo6bob3o6bo3bo$10bo2bo4bo4b4o3bo3bo
8bo6bob2o2b3o8bobo10bo$9b2obob3obo4bo3bobobo8b3obob2obo5bo14b2o$13b3o
2b2o5bobo3b2o9bobobobo2bob4o$12bo3b3o2b2ob2o5b2o12b5o3bo2b2ob2o3bo$17b
2o3bo3b2o3bo10bo3bo2b2o2bo5bob2obob3ob2o$15bo2bo2bo4bo4b2o9bob2o3bo6b
2o5bobo4b2o9bo$18bo9b2obob4ob3obob2o2bo3bo10bo3bobo2bo7b4o$36bobobob2o
b2o5b2o8b2o2bo12bo3bob3o12b3o$20bob2o6bo4b2obo4bo3bo6b2o6bobo13b2obo2b
o3bo8b4ob2o$19b2ob2ob2ob3o4bo2b2o3b3obobo2bo24bobob2o3b2o9b2o4bob3o$
18bo2bobob2ob5obo3bo9b3o21bob2obobo2bo12bo4bobo3bobo$19bo6bo9bobob2o4b
obo2b2obo16b3obo2bobobo8b5obo4b2obo2bo$27bo6b2o2bobo3bo3bo5bo15bo3bobo
14b3obobo2bob4obo$35b2obob4o6bo20bo2bob2obo3b2o5bo2bobobob2o3bo5bo$32b
2o5b4o3b2obobob2o24bo9b4o2bo3bo5b2o2bobo5b2o$34bo3bo4b2ob5o10bo5b2o6b
3o6bo23bo3bo3b2ob2o2b3o$34b2o13bo7b3ob3o2b2o16bo10bobo11b3o8bobo3b2obo
$34b2o8b4obo6bo6b5ob2o12bobo2b6o19bo3b4o3bo3b3o$33b2o4b2o2b2o4bo7bobob
o4bo2bob2o10bo4b4o15b2o3b2obobobo7bo3bo$38b3o3b2o2b2o8b2obo7bob2o14bob
o8bo8b5obo3bo2bo9bo$32bo2b3o2bo3bob2o11bob3o3bobobobo12bo9b4o6bobob2ob
ob3obob2obo$31b7obo4b4ob2o5b2obob2o2bobobo2bobo13bo3b2ob2o3bo4b3o9b3o
3b3o$31b2ob2o6bo4bo8b2ob4obo4bob6o9bobo3b2o2bo7bo3bo9b2o2bo3bo$36bob3o
6b2o2bo5b2o7bobobo7bo6b3o3bo2bo6b2o22bo$34bo2bob2obo3bobobo8b3obo2bo3b
3ob2o2b4o19bobo5bo$34bo7bobobobo10bobo2bo5b2o8bobob2o7bo6b2obo2bob3o$
38bo7bo15bo13bobo3bo2bo6b3o5bo2bob2o$38bobo2bo38bobobo5b3o2b2o4bo6bo$
39bo36bo2bo3bobo5bob3ob2o4bob2ob2ob2o$76b2obo11bo2bo3bo2bo3b2ob2o$41bo
36b2o4bo6b2ob3obobo3bo3b3o3b3ob2obo$39bobo34bob3o3bo9b2obo2bob2ob3o4b
2o4b2ob2o$40b2o38b2o10bo6bo6bobo6bo2bobo2bo$80bo3b3o2b2obo3bo2b3o3b4o
3bo3bo5bo$62b2o9b2o8bo4bo7bo3b2o3bo4bobo$42bo18b2ob2o4b2ob2o5bo2bo4b2o
2b2ob2o3bo7bo$43b2o15bo9b2o3bo4b5ob2o5b2ob2o23bo$42b2o17b3obo2b2o3bobo
6bo9b4o24b4o$60b3o3b3o2bo13bo2bo8bo21bo3bo$59b2o3bo5bo12bo3b4ob2o2bo
23bo3bo4bo$45bo11bo10b2ob2ob3ob2o4bob2ob2ob2o29bobob4o$46bo8b3o6bo8b2o
3bob2o4bo35b2o3bo3bo$44b3o4b2ob2o7b2obobo8bo3b2o6b3o5b2o23b2o4bobo$51b
2o2bo2b3o7bo4bobo4b2ob2obo4b2o4b2obo11b2obob4obobobo$50bo2bo6bo3bo7bo
2bo2b2o4bo2b3ob2o3bo3b2o3b2o4b2ob2o2bob3o$60bo3bo8bo2b4obobobo5bo8b2o
3b2ob2obobo4bo$46bobo12bo18b6obob2o8b2o2b2o3bo4bobo3b4o$47b2o25bo3b2ob
o5bobo13bo2bob2o2bo6b2o$47bo16bobobob6o2bo9bo12bo2bob5o4b4o$60b3ob2obo
b2obo8bo5b2o12bo2b2o2b2o2bo$59bo6bobo12b3obobobo2bo3b3obo2bobo6b2o$50b
o9b2o3bo2bo9b2o9bobobob4ob2o$48bobo16bobo7b3o4b3o2bobobo7b2o$49b2o18bo
7bobo3b2o8bob2o4bo5b3ob2o$81b2ob2ob2o3b2ob3o5bob2o4b2o$78b2obo3b3o3bob
o2bo3bo2bo4bobo2bo$51bo26bob2obo6b2obo3b2ob4ob2o$52b2o24bobobobo3bo4bo
3bo$51b2o24b2o2b4o3bo4b4obo$80bo4b3o5b2ob3o$85b2ob5o3b2o$54bo33bo9bo$
55bo25b2o2b4o$53b3o25b2obo3bo2bobo2b3o$82b4o4bo2b6o$81bo6bo2bo7b2o$87b
2o4b2o$55bobo23b2o3bo4bo8bo$56b2o24b2obo5bob3ob2o$56bo26bob2obo2bo2bob
o$82bo2bo2bobob2o$84bobobo$59bo31bobo$57bobo31b2o$58b2o32bo3$60bo28bo$
61b2o26bobo$60b2o27b2o3$63bo24bo$64bo21b2o$62b3o22b2o3$85bo$64bobo17bo
$65b2o17b3o$65bo3$68bo13bobo$66bobo13b2o$67b2o14bo3$69bo10bo$70b2o8bob
o$69b2o9b2o3$72bo$73bo$71bo2bo$71bo2b2o$72bob2o$71b2o$71bo2b3o$72b3o2b
o18b3o$73bobo19bo$75b2o17b2o$76b3o9bob2o2b2o2b3o$76b2o9b2ob2ob2o5bo4b
2o$78bo7bo2b2o3bob2o4b2ob2o$92b4o6b2o3bo$88bobob2o8b2o$90bo$87b2o$86b
2o2bo$88b3ob2o$84bo2bo5b3o$85bob4obo3bo$92b2o4bo6bo$93bo4b2o4b2ob3o$
92bo3bo2b2o2b2o5bo$94bo2bobo2bo5b2o$95bob3o4bo$96b3o2b3obo$95b2o3b3o$
102bo2bo$103bo$83b2o$83b2o32$83b2o$83b2o32$83b2o$83b2o32$83b2o$83b2o2$
74b2o16b2o$71b2ob2o16b2ob2o$68b4o2b2o4b2o4b2o4b2o2b4o$67bo4bo4b2ob2o4b
2ob2o4bo4bo$68b2o7b2o3bo2bo3b2o7b2o$77b2o10b2o!

Finally, Evin constructed a p117 rake using three p9 rakes:

Code: Select all

#C p117 c/3 orthogonal rake by Evin, 10 January 2024
#C with reductions by Matthias Merzenich, 12 January 2024
x = 153, y = 388, rule = B3/S23
70b3o$50b2o13b2ob2obo$48b3ob2o11b2o4bob2o$45b2o5bob3o7bo2bo3bobobo$45b
2o5b2o17bobob3o$44bo4b3o2b2ob2obo8bo3bo3bob3o$45b3o2bob2obobo2b2o7bo8b
obobo$46b2o5b2o2bo4bo9bo3b2o3bo$34b2o5b3o2b2o7bobob2o2bo4b2o3b2ob2o$
28b2o3bo2bo4b3o7bo2b3ob3o2bo12bo8bo$25b2ob2o2b2o3bo2bo3bo8bobobobo7bo
16b2o4b3ob2o$22b4o2bobo2b2o25bo2bo4b2o13bobo2b2o4b2o$21bo4bo8b5o4bo15b
ob3o2bobo11bobo3b2o2bobo2bo$22b2o9bobobobobo2b2o19bo14b2obo3b2ob2obo$
30b2obo2bo2bob2o3bo6b3o9b2o12bo3bob3ob2o2bo$27b4o2b2o3bo6bobo4bo3b2obo
4b2o14bo2b2o2bo5bob2o$26bo4bo2bo9bo3bo3b3o3b3o3bobo11b2obobo4bobob2ob
2o$27b2o15b2ob2o2b2o4bo3bo5bo7b3o4bo2bo3b2o$43b4ob2obo8bo4bo2bo2b2ob4o
b3o3bobobob2obo$42bo3bo2bo2bo5bo11bobo8bo7bobo2bo$41bo5bobobobo5bo7b2o
bobob2o5bo9bo$47bobo5bo3b2o5bo3bo3b3o$41bobo5bo5b3o8bobobo3b3o$40b2ob
2ob2ob2o2bo2b2o2b2o11bo$34bob2o2b3o2b2obob2o2bob2o4bo4b3o3bo3bo$30b3ob
2obob2o5bo3bobobo4bo12b2o2bo$29bo6b2o14bo5bo3bo12bo$30b2o3bo3b2o2b4o3b
o5b4obo5b2ob2o$41bo3bob2o3b2o3b3o3b2ob2ob4o6bo9b2o$43b2o6bo7bo5b3o3b2o
5b4o6bo2bo$55b2o2bo2bo3bobo8bo3b2o4b2o3bo$30b3o23bo2b2o2bo4b2obo5bobo
3bo3b5o$28b2obobo21bobo9b3o8b4ob2o$32bo23b4obo2b2o3bo9b2obobob3o3b2o$
22b3o2bo30b2o2b2obob2o4b2ob5o3b4o4b2o$21bobob6o32bo8bob2o12bo4b4o$22bo
4bobo24bo7b2obo4b2o4bo6bobobobo3bo3b2obo$25b2o6b2obo3bo11b4o4b2o2bo4bo
10bo4bo4bob2obo3b3o$29bob2obo2b2ob3o3bo5bo3bo4bo2b2obobobob2o2b2obo6bo
b3o6bo3bo$31bo2bo4bo4b4o3bo3bo8bo6bob2o2b3o8bobo10bo$30b2obob3obo4bo3b
obobo8b3obob2obo5bo14b2o$34b3o2b2o5bobo3b2o9bobobobo2bob4o$33bo3b3o2b
2ob2o5b2o12b5o3bo2b2ob2o3bo$38b2o3bo3b2o3bo10bo3bo2b2o2bo5bob2obob3ob
2o$36bo2bo2bo4bo4b2o9bob2o3bo6b2o5bobo4b2o9bo$39bo9b2obob4ob3obob2o2bo
3bo10bo3bobo2bo7b4o$57bobobob2ob2o5b2o8b2o2bo12bo3bob3o12b3o$41bob2o6b
o4b2obo4bo3bo6b2o6bobo13b2obo2bo3bo8b4ob2o$40b2ob2ob2ob3o4bo2b2o3b3obo
bo2bo24bobob2o3b2o9b2o4bob3o$39bo2bobob2ob5obo3bo9b3o21bob2obobo2bo12b
o4bobo3bobo$40bo6bo9bobob2o4bobo2b2obo16b3obo2bobobo8b5obo4b2obo2bo$
48bo6b2o2bobo3bo3bo5bo15bo3bobo14b3obobo2bob4obo$56b2obob4o6bo20bo2bob
2obo3b2o5bo2bobobob2o3bo5bo$53b2o5b4o3b2obobob2o24bo9b4o2bo3bo5b2o2bob
o5b2o$55bo3bo4b2ob5o10bo5b2o6b3o6bo23bo3bo3b2ob2o2b3o$55b2o13bo7b3ob3o
2b2o16bo10bobo11b3o8bobo3b2obo$55b2o8b4obo6bo6b5ob2o12bobo2b6o19bo3b4o
3bo3b3o$54b2o4b2o2b2o4bo7bobobo4bo2bob2o10bo4b4o15b2o3b2obobobo7bo3bo$
59b3o3b2o2b2o8b2obo7bob2o14bobo8bo8b5obo3bo2bo9bo$53bo2b3o2bo3bob2o11b
ob3o3bobobobo12bo9b4o6bobob2obob3obob2obo$52b7obo4b4ob2o5b2obob2o2bobo
bo2bobo13bo3b2ob2o3bo4b3o9b3o3b3o$52b2ob2o6bo4bo8b2ob4obo4bob6o9bobo3b
2o2bo7bo3bo9b2o2bo3bo$57bob3o6b2o2bo5b2o7bobobo7bo6b3o3bo2bo6b2o22bo$
55bo2bob2obo3bobobo8b3obo2bo3b3ob2o2b4o19bobo5bo$55bo7bobobobo10bobo2b
o5b2o8bobob2o7bo6b2obo2bob3o$59bo7bo15bo13bobo3bo2bo6b3o5bo2bob2o$61bo
2bo38bobobo5b3o2b2o4bo6bo$59b3o35bo2bo3bobo5bob3ob2o4bob2ob2ob2o$97b2o
bo11bo2bo3bo2bo3b2ob2o$99b2o4bo6b2ob3obobo3bo3b3o3b3ob2obo$97bob3o3bo
9b2obo2bob2ob3o4b2o4b2ob2o$61bobo37b2o10bo6bo6bobo6bo2bobo2bo$62b2o37b
o3b3o2b2obo3bo2b3o3b4o3bo3bo5bo$62bo20b2o9b2o8bo4bo7bo3b2o3bo4bobo$82b
2ob2o4b2ob2o5bo2bo4b2o2b2ob2o3bo7bo$81bo9b2o3bo4b5ob2o5b2ob2o23bo$65bo
16b3obo2b2o3bobo6bo9b4o24b4o$63bobo15b3o3b3o2bo13bo2bo8bo21bo3bo$64b2o
14b2o3bo5bo12bo3b4ob2o2bo23bo3bo4bo$78bo10b2ob2ob3ob2o4bob2ob2ob2o29bo
bob4o$76b3o6bo8b2o3bob2o4bo35b2o3bo3bo$66bo5b2ob2o7b2obobo8bo3b2o6b3o
5b2o23b2o4bobo$67b2o3b2o2bo2b3o7bo4bobo4b2ob2obo4b2o4b2obo11b2obob4obo
bobo$66b2o3bo2bo6bo3bo7bo2bo2b2o4bo2b3ob2o3bo3b2o3b2o4b2ob2o2bob3o$81b
o3bo8bo2b4obobobo5bo8b2o3b2ob2obobo4bo$82bo18b6obob2o8b2o2b2o3bo4bobo
3b4o$69bo25bo3b2obo5bobo13bo2bob2o2bo6b2o$70bo14bobobob6o2bo9bo12bo2bo
b5o4b4o$68b3o10b3ob2obob2obo8bo5b2o12bo2b2o2b2o2bo$80bo6bobo12b3obobob
o2bo3b3obo2bobo6b2o$81b2o3bo2bo9b2o9bobobob4ob2o$88bobo7b3o4b3o2bobobo
7b2o$70bobo17bo7bobo3b2o8bob2o4bo5b3ob2o$71b2o29b2ob2ob2o3b2ob3o5bob2o
4b2o$71bo27b2obo3b3o3bobo2bo3bo2bo4bobo2bo$99bob2obo6b2obo3b2ob4ob2o$
99bobobobo3bo4bo3bo$74bo23b2o2b4o3bo4b4obo$72bobo26bo4b3o5b2ob3o$73b2o
31b2ob5o3b2o$109bo9bo$102b2o2b4o$75bo26b2obo3bo2bobo2b3o$76b2o25b4o4bo
2b6o$75b2o25bo6bo2bo7b2o$108b2o4b2o$102b2o3bo4bo8bo$78bo24b2obo5bob3ob
2o$79bo24bob2obo2bo2bobo$77b3o23bo2bo2bobob2o$105bobobo3bo2$112bo$79bo
bo29bo$80b2o29b3o$80bo3$83bo25bobo$81bobo25b2o$82b2o26bo3$84bo22bo$85b
2o20bobo$84b2o21b2o3$87bo18bo$88bo15b2o$86b3o16b2o3$103bo$88bobo11bo$
89b2o11b3o$89bo3$92bo7bobo$90bobo7b2o$91b2o8bo2$76bob2o$75b2ob2ob2o10b
o4bo$74bo2bobo2bo11b2o2bobo$75bo5b2o4b2o4b2o3b2o$84b2ob2o5b2o$84b2o3bo
4b3o$84b2o8b4o$93bo3b2o$97bo$96bo$50b2o$30bo14bob2ob2o$28b2obobo10b3ob
o3b2o$25bob2o2bo2bo8bo3b2obobo$24b5o2bo2b2o8bo3b3obob2o$23bo5b2o2b2obo
b2o8b2o2bobob2ob2o41b2o$23bo2bo9bo3bo9bob3o4b2o41b2o$25b2o2bob2obobo4b
o6bo3b2obobo3bo$21bo8b3o3bobo3bo10b3o$7bo4b4o4b3o3bo4b3obobob4o4b2o53b
o$5b4ob3ob2o3bo3bo11bo4b2o13bo7b3o4b2obo28bo$b2ob2o9bo3b4o16b4o3b3o6bo
6bo5bob2ob2o27bo$b2o2bo4b2o2b2ob2ob4o15bo3bo4bo11b3o4b2obobo2bo15b2o$o
2bo10bo3bob2o2bo19bo2bo11bo2bob2obobo2bobo16b2o$10b3obobobo6bo6b2o8bob
o13bo3bo7bobo$6b2ob2obo4bo2bo5bo5b2ob2o6b2o13bobobo2bo2bo3bobo$6b2o2bo
11b2ob2o5b2o2b4o22bo2bobo4bob2o15b2o$5bo2bo3bobo9b3o3bo4bo4bo2bob2o9b
2ob2obob3ob2o2bo17bo2bo$28b3o7b2o4b3o4bob3o8bobobo5b2o15b2o$21b3o4bo
18bo2b2obo5bo4bobo2b2obo$21b6obob2o5b3o6b4obob2obo2bobo6bobobo$21bo2b
3obob3o12bo3bo$20b3obo3b2o2b4o4bo4bobobo4bo$20bo2bob2o2bo2bo2b2o3bo5b
3o4b3o$16bo3bo4bo7bo6b2o5bo3b2ob2o$9b2ob3ob3o2bo5b3obobobo3b2o14bo$9b
2o4bo2bo6b4ob2ob2o2bob2o9bo2b2o$8bo2bob2o3b2o3bo3bobo2b2ob2obobo6bo2bo
$20bob2o2bo3bobo7bobo3b2o2b2o$20bob2o2bo7b2o2b4ob2obobo8b3o7b4o$30b2o
6b2o2b2o7bo4bobob2o5bob2o$10b2o22bo8b2o2bo3bo4bobobo5bo4bo$8bob2o22bob
o2bo4b4obo7bob2ob2obo2bo22bo$7b2o3bo22b2o3bo2b2o16bob5o4bo17b2o$b2o4b
2o29b2obo4b2o8bo2bobo9b2o16b3o26b3ob2o$b2ob2o2b2o28b2obo3b2o4b4ob2ob4o
10b2o15b2obo9b2o11b2o4b2o$o3b2o33bo3b4o2b3obobob3o2b3ob3o5bob2o13b2ob
2o7b2o10bo3bobo2bo$4bo2bo4b2o18b3o4b3o4bobo3bo5bo5bob3o3b3o2b4o10b2obo
15b3o2b3o$11bob4ob3o9b2obobo8bob3ob4obobo6bob3o2b2o3bo4bo11bo15bobob3o
$8b2obo3b2o3b2o2b3o7bo8b3o4bo5bob2o10b2o7b2o29bo4bo$13bo2bobob4obo3bo
9b2o3bobo3bo3b2o14b2o41b2o$10bo2bo3b2o2bo3bob6o8b2o3bobo$14bob2o3bo3bo
2b2obo9b2ob2ob2obob2o2b2ob2o52b2o$12b4o4b2o3bob3o12bo8b3o2b2obobob3ob
2obo41bo2bo$14b2o2b4o6b4o2bo7bob2o4bo6bobobo5b2ob2o23b2o15bo2bo$18b2o
6bo2bobobo2bo2bob2ob2o3b3o11bobobobo2bo18b5obo15bob2o$31bobo2b3obobo5b
2ob2obo7b2obo5bo20b2o16b2obobo$23bo5bo8bo7b3o2bo2bo7bo29bo20bobob2o$
19b3ob3o4bo3bobobo4b2o4bob2obo8bo31bo15bobobob2o$18bo6bobobo4bo3bo4b2o
4b2obo36bo5bo14bo2bobobo$19b2o3bo3bo2b3o2bobob2ob2obobo3b2o35b3o16b2o
3bo2bo$27b9ob2ob2o2b5o4b2o35bobo15b3o2b5o$29b2obo3bobo3bo4bo3bobo36bo
3bo14b2obob3o$33bo5bo3bobobobobob2o34b2o3bo17bo$33bo6b2o6b3o37b2o22bo$
35b2ob6o2bo45bo$34bo5b2o47b3o$33bo8b2ob2ob3o39bo$33bo4b2o2b2o$36b3ob3o
3b2o$32b4o3bo2b3o2b3o$31b2o6bo3b2o4b2o$36bo7b2o2b3o$34b5ob2o2bobobobo$
34b2o4b3ob3obo$38b2o3bo4bo$39b2obobobo$38b2o3$41bo$42bo$40b3o2$103b2o$
103b2o$42bobo$43b2o$43bo3$46bo$44bobo$45b2o$81bo$80bobo$47bo32bobo$48b
2o31bo$47b2o53bobo$102bobo$81bo20bo$50bo29bobo$51bo29bo$49b3o2$86bo$
85bobo$51bobo31bobo2b2o$52b2o32bo3b2o$52bo3$55bo$53bobo$54b2o3$56bo$
57b2o$56b2o3$59bo$60bo42b2o$58b3o42b2o4$60bobo$61b2o$61bo3$64bo16bo$
62bobo15bobo$63b2o15bobo$81bo2$65bo$66b2o13bo$65b2o13bobo$81bo2$68bo$
69bo16bo$67b3o15bobo$85bobo2b2o$86bo3b2o2$69bobo$70b2o$70bo3$73bo$71bo
bo$72b2o3$74bo$75b2o$74b2o$103b2o$103b2o$77bo$78bo$76b3o14$82b2o$81bo
2bo$82b2o2$76b3o$75bo2bo11b2o$80bo9b2o$74bo5bo$75bo4bo$77bo7$91bo$89bo
bo$90b2o$48b2o$47b2o$49bo42bo10b2o$93b2o8b2o$92b2o$59b2o$56b2ob2o$53b
4o2bobo33bo$52bo4bo4bo33bo$53b2o7bo12bo18b3o$18b3o41bo11b3o$18bo39b3o
13b3o$19bo37bo$58bob2o34bobo$62bo13bo20b2o$58b2o12bo3bo20bo$52b3o2bo3b
o9bo4bo$52b3o5bo9b3ob2o$51bo3bo2bo11bo2b3o24bo$55bo2bo10bo5bo22bobo$
58b2o14b2o23b2o9b3o$57b3o16bob3o28bo3b2obo$58b2o10bo5bo3b4o25bobo3b3o$
71b2o4b2ob4o17bo6b2o4bo3bo$73b2obob2o22b2o3b3o7bo$75b3o23b2o6bobo$111b
2o$84bo24bo3bo$83bobo18bo4bo$82bo2bo19bo3b2obo$83b2o18b3o6bo4bo$110b3o
3bobo$115bo3bo$111bo3bob2o$105bobo4b2o$106b2o$106bo3bo2bo$111bobo2$88b
2ob3o$88b2o4b2o16b3o$87bo2bobo3bo14bo3b2obo$94b3o2b3o4b3o2b3o3b3o$96b
3o3bo2bo3b3o4bo3bo$96bo3b2o4b2o3bo7bo$97b2o10b2o!

Given previously known results, this means that c/3 orthogonal rakes can be constructed for all periods that are a multiple of 9.

In addition to the new rake periods, Amling found p3 c/3 orthogonal eaters for blinkers and blocks with perfect clearance:

Code: Select all

#C Perfect clearance c/3 orthogonal blinker and block eaters
#C By Keith Amling with reductions by David Bell and Matthias Merzenich
x = 112, y = 32, rule = B3/S23
57b2o29bo$bo13bo10bo30b2o27b3ob3o$bo12b2ob3o5b2ob3o51b3obo6bo$bo11b2o
5bo3bo6bo49bo5bo3b2o$14bo3b3o3b2obobobo26b2o9b2o10bob2o17bo$14bo2bo6b
4ob2o27b2o8bob3o9bo17b4o5bo$3o11bob2o3bob2o3b2o37b2o3bo2b3o3b4o14b2o3b
o3bobo$7b2ob3obobob4o3b3o36b5obobo5bob2obo2bo6b3o2bo4bo3bo3bo$7b2o3bob
obo3b2obobo4bo27b2o4bo3b3o2bo4bo7bo6b3o5bo5bob2o$2bo4bo2bo3bobo3bo2bob
o32b2o3bo4b2o2b3ob2ob3obo3bo4bo2bo2bo4bobo$2bo6b2obo2b3obobobo39bo4bob
4o4b2ob5ob3obo5b2o4bo$2bo7b4o7bobo43bobo3bob3obobo2b2o2bo2bo9bo$10bo4b
o47b3obobobo8bo6bobobo10bo$9b2ob2o49bobobobo2bob2o$b3o3bo18b4obo3b3o
24b2obobob2obobo$6bo2bobob2o9b3obo2b2obo3b2obo19bo3bobo3b2ob2o$6bo7b2o
7b2o3bo4b4o3b3o19b2obob2o4b2o2b2o$8bo3bo6bo2bo3b2o6bo4bo3bo21bobo2bobo
2b4ob3o$8bobobo2bo2bobo11b2o8bo22bo3bo2bobo7b2o$5bo2b2o4bo2bo4bob3o2bo
34bo2bo6bobobobob5obo$5bo2b3ob3o3bobobobobobo34b2ob2o3bob2o3bob2o3bo2b
2o$8bo2bob2ob2obo2bo3bobob2o3b2o24b2obob2obo6bobo3bo2bo4bo$7bo3bo2bobo
bo3b2obo2bob2ob3ob2o22b4obo3bo4bobob6o5bo$9b2o2bo2bobo6b2o2bobo6b2obo
21bo2bob2o3bo6bo7bobob2ob3o$10b3obobobobob2o9b2o3b5o21bo8b3o5b2o2b2o2b
o3bo4b2ob2o$8b2obo24b2obo3bo18b2o9b3o4bobo4bobobob3o5b2o$12bo21bo4bo2b
o27b6o2bob2o3bobobo2bo2b4obo2bo$12bobo4b3o17bo30b2o5b2ob2ob2o2bobo3bob
o$15b2obo3b2obo15bo35b2o5b2obo3bo$17b2obo3b3o12b2o38bobo5b2o$15bobobo
3bo3bo57bo2bo$26bo60bo!

On February 6, 2024, Maitak discovered a potential p120 puffer engine, which Amling used to complete the first p120 c/3 orthogonal rake the next day:

Code: Select all

#C p120 c/3 orthogonal rake by Keith Amling, 7 February 2024
#C based on a potential p120 puffer engine by Dmitry Maitak
x = 971, y = 693, rule = B3/S23
74b11o$73b13o$76b7o$72b2o11b2o$71bobo11bobo$70bo2bo2b2o3b2o2bo2bo$70bo
bo2bo7bo2bobo$69b2o4bobo3bobo4b2o$68b3o6b2ob2o6b3o$70bobo13bobo$72b2o
3b2ob2o3b2o$71bo2bobobobobobo2bo$72bobob2o3b2obobo$70bo5bo5bo5bo$69bo
7b5o7bo$68b2o3b13o3b2o$70bobo4bobobo4bobo$66b3o4b2o9b2o4b3o$68bobo4bo
7bo4bobo$69bo3b2o9b2o3bo$69b2o3bo9bo3b2o$69b3o15b3o$66bo2bo19bo2bo$66b
o2bobobo11bobobo2bo$68b4ob2o9b2ob4o$73bo11bo$68bo21bo$67bo4bo13bo4bo$
72b3o9b3o$66bob6o11b6obo$69b2o17b2o$66b2obo2bo13bo2bob2o$69bo2bo13bo2b
o$68b2o3b2o9b2o3b2o$72bo13bo$75bo7bo$74bo9bo$68b3o17b3o$69b2ob2o11b2ob
2o$68b5o13b5o$67bo4bo3b3ob3o3bo4bo$72bo3bo2bo2bo3bo$76b2obob2o$70b2ob
3obo3bob3ob2o$69b2o4bob2ob2obo4b2o$69b4obo2bo3bo2bob4o$72bo2bobo3bobo
2bo$74b2o2bobo2b2o$72bobo3bobo3bobo$70b2obo5bo5bob2o2$69bo4bo9bo4bo$
70bo2bo11bo2bo$74bo9bo$74bo9bo$74b2o7b2o$74b2o7b2o$73b3o7b3o$71bo15bo$
71b2o2bo7bo2b2o$70bo4bo7bo4bo$72b2o11b2o$73b2o9b2o$74bo9bo$72b4o7b4o$
72bo3bo5bo3bo$73bo11bo$73bo2bo5bo2bo18bob2o10b2obo$73bo2bo5bo2bo17b2ob
2ob2ob2ob2ob2ob2o$76b2o3b2o19bo2bobob2ob2ob2obobo2bo$73b2o9b2o17bo6bo
4bo6bo$74bo3bobo3bo7b3obo14bo2bo$51bo11bo11bobo3bobo7bob2ob2o$49b4o9b
4o11bo3bo9bo2bo3bob4o6b2o2b2ob3o$48b2o3bo7bo3b2o6bo3bo3bo3bo8bobobobob
2o7b3o6bo$45bobo4bo9bo4bobo3bo3bo3bo3bo4bo3bo8bo3b3o6bo2bo$44b2o3bo7bo
7bo3b2o3b3o5b3o3b4ob3ob4o4bo3b2o4bo$45bo3b2o5b3o5b2o3bo18bo2bo2bo4b4ob
2o3b2o5b2o$47bob2o4bo3bo4b2obo19bo4b2ob2obo2bob3o$45b2o2bo6b3o6bo2b2o
18bo3bobo3b2o4bo$49bo5b5o5bo6b2o14bo3b3obo2b2o2bob2o18b3o12bo3bo3bo$
45bo3bob2ob2o3b2ob2obo3bo17bo3bobo9b2o2bo6bo3bob2o6bo9b2ob2obob2ob2o$
47b2o3bo9bo3b2o6bo14bo4bo2b2obob3o2bobo2b3ob2o2bob2o4b2ob3ob2o4bobobob
obob2o$51bo2b2o3b2o2bo10bobo14bo12bobobobo4bo4bo2b2o3b4obob2o2b3obobob
3o3bo$74b3o11b3o4b6o3bobobobo4bob3obobo3bobo3bob2obob4ob3o3b3o2b3o$73b
obobo9b2o5b2o8bobo2bo4b2o2b3o10bo9bo4b2o5b3obobo$73b2ob2o24bo3bo4b2o2b
3o3bo21bobo7bo4bo$74b3o26bobo5bo3b2o37b2o$75bo31b3o2bo2bo2bo$32b2ob3o
69b2o6bo$32b2o4b2o43b3o$31bo2bobo3bo44bo$38b3o5bo37bo$40b4obobo$40bo2b
o4bo25b2o$41bobobo27b2ob2o$48bo24bo2b2o$47b3o25b2o2b3o$50b2o23b3obo2bo
$50b2o23b3ob5o$45bo2bo32bob2o28b3o$7bo37b2ob2o25bo5bobo31bo$5b4o36b2ob
ob2o23bo5b2o31bo$4b2o3bo37b2o2bo23bo$bobo4bo38bo3b2o2b3o$2o3bo7bo34bo
2b4obo2bo$bo3b2o5b3o7bo6bo6bo19bob2ob3o11b2o$3bob2o4bo3bo5b3o3b3o4b4o
11b7o2bobo3bo10bo2bo$b2o2bo6b3o12bo3bob2o3bo9b2o2b2o2bo3bo2bo7bob2o4bo
$5bo5b5o6bo3bo3bo5bobo3b2o11b2obo2bo9bo2bo3bo105b3o19b2obo$bo3bob2ob2o
3b2ob8obo6b3o3b2obo11b4o12bo3bo2bo64b3o38b3o16b2ob2ob2o$3b2o3bo9bob4ob
4ob2o4bob4o14bo16b2obo68bo37bo3bo15bo2bobo2bo$7bo2b2o3b2o9b5o3bobob3o
4bo13b3o11b2o69bo52b2o4b2o5bo$25bo5b2obo2bo3b2ob3obo7bo2bob2o119bo5bo
8b2ob2o$24bobo2b2o3b2o4bo5b4o5b3o5b2o35b2o80b2o3b2o7bo3b2o$27bo5bobo4b
o2bo2bo3bo4b2obo4bo9b2o25bobo77b2o4bo13b2o$25b4o4b2o9b2obo2b2o3b3obobo
bo10bob3o21bo82b2obobob2o$25b3o3b2o9b2o3b2obobo4bobo2b2o15b2o99bo3bobo
bob2o8b2o$26bo14bo3bo3bo2b2ob2obo4bo11b3o106b4ob3o8b2o$30b4o6b2o3b4o2b
2obo3b3o2bo7bo4b2o106b2o3b3o7bo2bo$16bobobob3o4bo3b4o2bo5b2obo2bo2bo4b
o2b2o5b2ob2o5bo93b3o10bo5b2o4bobobo$12b3ob2obob2obo2b2o3bo3b4o7bo3b2ob
obo2bob2o9b2o2b2ob2o94bo24bobo$11bo6bobo7bo4b2o3bo6b2ob2o2bobob2o3bo6b
o8bobo24bo2bo66bo14b2o2bo3b2obobob2o$12b2o3bo2bo18b2o10bo3bob2o3bo5bo
4bo4bo25bo2b2o91bobob2o$19bobo23bo11bo3bo7bo34bo5bo85bobobobo$21bo28bo
6b3o9b2o3bo28b2o6bo84bo3bo2bo$48b4o3bobo14bobo26b2obo6bo84b2o2b2ob3o$
44b2ob2o3bob2o47b2o3bo3bo83bo$44b2o2bo6bo55b2o86b2o2bo$43bo2bo4bob2o
55bo87bo15b3ob2o$73b2o137b2o4b2o$73b2o38b2o96bo3bobo2bo$95b2o15b2o92b
3o2b3o$95b2o15bo92bobob3o$206bo4bo$209b2o$104bobo88bobo$107bob3o82bo2b
o11b2o$103bo2bo4bo82bo3bo9bo2bo$103b3o4bo83bo2bo10bo2bo$108bo86b3o11bo
b2o$91b2o14b2o97b2obobo$91b2o14bo101bobob2o$79b2o126bobobob2o$79b2o27b
o97bo2bobobo$108bo95b2o3bo2bo$108bo95b3o2b5o$104bo100b2obob3o$71b3o30b
o103bo$208bo$107b3o3$72b2o$71bo2bo$72b2o5$82b2o$81bo2bo$82b2o$87b3o$
177b2o$53b3o2bo117b2o$51bo6bo119bo$52bo5bo$53bo49b2o$55b2obo44b2o$55b
2obo$57bo$95b2o$95b2o$147b2o$146b2o30bo$148bo25b3ob3o$114b2o57bo6b2o$
64b3o46bobo58b2o3bo2bo3bo$113b2o69b4o$184bo3bo$91b2o89bo2bobo$91b2o90b
o$79b2o90b2ob3o31b3o$79b2o36b2o52b2o4b2o31bo$116b2o52bo2bobo3bo29bo$
118bo58b3o2b3o11b2o$179b3obobo10b2o$71b3o105bo4bo$180b2o$27bob2o10b2ob
o$26b2ob2ob2ob2ob2ob2ob2o$25bo2bobob2ob2ob2obobo2bo$26bo6bo4bo6bo26b2o
164b3o$34bo2bo14bob3o14bo2bo165bo$51b2ob2obo14b2o165bo$29b3ob2o2b2o6b
4obo3bo2bo123b2ob3o20b3ob2o$28bo6b3o7b2obobobobo126b2o4b2o16b2o4b2o$
29bo2bo6b3o3bo8bo3bo121bo2bobo3bo14bo3bobo2bo$33bo4b2o3bo4b4ob3ob4o
126b3o2b3o4b3o2b3o$31b2o5b2o3b2ob4o4bo2bo2bo21b2o105b3obobo2bobob3o$
43b3obo2bob2ob2o4bo19bo2bo104bo4bo4bo4bo$44bo4b2o3bobo3bo21b2o106b2o
10b2o$42b2obo2b2o2bob3o3bo26b3o178b3o$41bo2b2o9bobo3bo208bo$38b2obo2b
3obob2o2bo4bo209bo$32b2o4bobobobo12bo$32b2ob2o5bobo3b6o4b3o$31bo3b2o5b
obo8b2o5b2o41b2o$35b2o3bobo3bo56b2o$45bo$39bobo$38b3obobo50b2o$44bob3o
46b2o201b3o$40b2obobobobo250bo$40b2ob2o3bo250bo$39bo3b2o$43bo$39bo3b2o
$39bo2bobob3o67b2o$38bobobo6bo66b2o$40bobobo3bo42b2o$42bo3bo44b2o$44b
2obo31b2o65bo181b3o$41bo2bo3b2o29b2o63b3ob3o179bo$41bo2b2o94b3obo6bo
177bo$39bob2obobo92bo5bo3b2o$38b4o2bob2o79b2o10bob2o$37bo4bo2bo2bo22b
3o52bob3o9bo16b3obo13bo$37bo2bobo82b2o3bo2b3o3b4o14b2ob2o11b3ob3o$39b
2ob2ob2obo73b5obobo5bob2obo2bo6b3o2bo4bo7b3obo6bo$41b2ob6o72bo3b3o2bo
4bo7bo6b3o5bo2bob2o2bo5bo3b2o$37b2o3bo2b2ob2o71bo4b2o2b3ob2ob3obo3bo4b
o2bo2bo2b4o2bo2bob2o$37b2o33b2o47bo4bob4o4b2ob5ob3obo5b2o4b2o2bo2b2o
188b3o$38b4o2bo26bo2bo50bobo3bob3obobo2b2o2bo2bo18b2o190bo$40bo31b2o
47b3obobobo8bo6bobobo209bo$40bo80bobobobo2bob2o$120b2obobob2obobo$119b
o3bobo3b2ob2o$120b2obob2o4b2o2b2o$82b2o39bobo2bobo2b4ob3o$81bo2bo38bo
3bo2bobo7b2o$82b2o38bo2bo6bobobobob5obo$87b3o31b2ob2o3bob2o3bob2o3bo2b
2o240b3o$119b2obob2obo6bobo3bo2bo4bo241bo$119b4obo3bo4bobob6o5bo240bo$
121bo2bob2o3bo6bo7bobob2ob3o$122bo8b3o5b2o2b2o2bo3bo4b2ob2o$103b2o15b
2o9b3o4bobo4bobobob3o5b2o$103b2o23b6o2bob2o3bobobo2bo2b4obo2bo$128b2o
5b2ob2ob2o2bobo3bobo$135b2o5b2obo3bo$95b2o40bobo5b2o$95b2o46bo2bo271b
3o$145bo274bo$419bo6$91b2o$91b2o$79b2o367b3o$79b2o369bo$449bo3$71b3o5$
72b2o404b3o$71bo2bo405bo$72b2o405bo5$82b2o$81bo2bo$82b2o$87b3o418b3o$
510bo$509bo2$133b2obo$103b2o23bob2ob2ob2o$103b2o22b2ob2obobo2bo$126bo
3bo6bo$114b2o10bobo16bo$95b2o15b2obobo3bo22bobobo13b2obo$95b2o13bo4bob
2o2b2o2bo3bo9bo3bo4b2o7bob2ob2ob2o371b3o$109b3o3bob2o2bob4ob3o7bobo3b
3ob2o6b2ob2obobo2bo372bo$108b2obo3bo3bo3bo7b2o4bo3bo4bo2b4o2bo3bo6bo
372bo$108b2o2bo6bo2bo3bobobobo4b2ob4o2bo5b4obo$112bo2b2o13bobob4o4b2o
5bo4bo$108bo2b2obo3b2ob2obobo3bo5b2o17b2o$108bobobobo2b2o6bo7bobo$110b
obobo2bob2o$91b2o14b2obobob2obo$91b2o13bo3bobob4o2bo$79b2o26bo2bob2o9b
2obo441b3o$79b2o29bobobob2o2b2ob2ob3o441bo$109b2o2bo2bo2bo3bobo4bo438b
o$108b2o2b2o3bobo2bo2bo4b5o$107bobo8b2o3bobo6b3o$71b3o32bo6bobo3b3obo
6bo4bo$106bo2bobo3bo5b5ob3o5bo5bo$112bobo3bob2o2bo4b2o4b5ob3o$107bobo
7bo2bo4bobo3b2obobo5b2ob3o$108bo7bo4bo2b2obo2bobobo3bobo7bo$72b2o41bo
4b4o4b2o2bobo2bo4bo3b2o450b3o$71bo2bo40bo2b2obo3b4o3bo2bobob2obo457bo$
72b2o48bo3b5obo466bo$123bo5b2ob2o$131bobo3$82b2o$81bo2bo$82b2o$87b3o
538b3o$630bo$629bo$684bo$683bobo18b3ob2o$682bo3bo15b2o4b2o$683b3o15bo
3bobo2bo$696b3o2b3o$681b2o3b2o7bobob3o$95b2o584b2o3b2o8bo4bo$95b2o561b
3o19bo2b3ob2o10b2o$660bo18b2ob2obo3b2o$659bo27bo3bo7b2o$682bo3bo4bo6bo
2bo$683bo2b3o9bo2bo$684bo4b3o7bob2o$691b2o3b2obobo$699bobob2o$91b2o
604bobobob2o$91b2o603bo2bobobo$79b2o604b5o4b2o3bo2bo$79b2o603b4o2bo3b
3o2b5o$684bo4bo5b2obob3o$685b4o9bo15bo$687b2o9bo13b3ob3o$71b3o637b2o6b
o$706bo3bo2bo3b2o$705b4o$704bo3bo$705bobo2bo$72b2o635bo$71bo2bo$72b2o
634b2o$707bo2bo$707b2obo$706bobob2o$708bobobo$82b2o621b2obobob2o$81bo
2bo623bobo$82b2o620b2o2bobob2o$87b3o613bo3b2o$706b2o4bo$703bobobo4bo$
707bo2bo6$95b2o602bo$95b2o3$125bo568bobo6b2o$123b3ob3o559b3o4bo$119b3o
bo6bo558b3o2b3o$118bo5bo3b2o558bobo$106b2o10bob2o580bo$91b2o12bob3o9bo
16b3obo13bo540b2o3b2o$91b2o11b2o3bo2b3o3b4o14b2ob2o11b3ob3o536bo$79b2o
20b5obobo5bob2obo2bo6b3o2bo4bo7b3obo6bo$79b2o20bo3b3o2bo4bo7bo6b3o5bo
2bob2o2bo5bo3b2o$100bo4b2o2b3ob2ob3obo3bo4bo2bo2bo2b4o2bo2bob2o544b2o$
100bo4bob4o4b2ob5ob3obo5b2o4b2o2bo2b2o546b2o$104bobo3bob3obobo2b2o2bo
2bo18b2o511b2o$71b3o26b3obobobo8bo6bobobo530b2o$100bobobobo2bob2o548bo
$99b2obobob2obobo$98bo3bobo3b2ob2o$99b2obob2o4b2o2b2o$72b2o28bobo2bobo
2b4ob3o554bob2o$71bo2bo27bo3bo2bobo7b2o552b2ob2ob2o$72b2o27bo2bo6bobob
obob5obo546bo2bobo2bo$100b2ob2o3bob2o3bob2o3bo2b2o546bo5b2o4b2o6b3o$
98b2obob2obo6bobo3bo2bo4bo502b2o50b2ob2o8bo$98b4obo3bo4bobob6o5bo501b
2o51b2o2bo7bo$100bo2bob2o3bo6bo7bobob2ob3o496bo50b2o$82b2o17bo8b3o5b2o
2b2o2bo3bo4b2ob2o534bo$81bo2bo14b2o9b3o4bobo4bobobob3o5b2o530b3ob3o12b
o2b2o$82b2o23b6o2bob2o3bobobo2bo2b4obo2bo528bo6b2o11b2o2bo64bo$87b3o
17b2o5b2ob2ob2o2bobo3bobo537b2o3bo2bo3bo6b4o64bobo18b3ob2o$114b2o5b2ob
o3bo551b4o7bo64bo3bo15b2o4b2o$116bobo5b2o554bo3bo72b3o15bo3bobo2bo$
122bo2bo552bo2bobo39b3o44b3o2b3o$124bo475b2o77bo45bo29b2o3b2o7bobob3o$
599b2o123bo30b2o3b2o8bo4bo$601bo152bo2b3ob2o10b2o$753b2ob2obo3b2o$761b
o3bo7b2o$756bo3bo4bo6bo2bo$684bo22bo49bo2b3o9bo2bo$680b3ob3o18b3ob3o
46bo4b3o7bob2o$679bo6b2o16b2o6bo52b2o3b2obobo$680b2o3bo2bo3bo6bo3bo2bo
3b2o41b3o17bobob2o$570b2o118b4o4b4o53bo15bobobob2o$569b2o119bo3bo2bo3b
o52bo15bo2bobobo$571bo116bo2bobo4bobo2bo64b2o3bo2bo$689bo12bo65b3o2b5o
$91b2o676b2obob3o$91b2o679bo15bo$79b2o691bo13b3ob3o$79b2o704b2o6bo$
780bo3bo2bo3b2o$779b4o$540b2o236bo3bo$71b3o465b2o238bobo2bo$541bo241bo
2$782b2o$781bo2bo$72b2o707b2obo$71bo2bo705bobob2o$72b2o708bobobo$779b
2obobob2o$510b2o270bobo$509b2o267b2o2bobob2o$511bo257bo2bo4bo3b2o$82b
2o684bo3bo7b2o4bo$81bo2bo687bo4bobobo4bo$82b2o683bo2bo10bo2bo$87b3o
678b2o$121b2obo643bo$116bob2ob2ob2o$115b2ob2obobo2bo$114bo3bo6bo354b2o
$102b2o10bobo16bo345b2o$100b2obobo3bo22bobobo13b2obo327bo$98bo4bob2o2b
2o2bo3bo9bo3bo4b2o7bob2ob2ob2o614b3o$97b3o3bob2o2bob4ob3o7bobo3b3ob2o
6b2ob2obobo2bo613b3o$96b2obo3bo3bo3bo7b2o4bo3bo4bo2b4o2bo3bo6bo614b2o$
96b2o2bo6bo2bo3bobobobo4b2ob4o2bo5b4obo622bo$100bo2b2o13bobob4o4b2o5bo
4bo623b2o2bo$96bo2b2obo3b2ob2obobo3bo5b2o17b2o622bo3bo$96bobobobo2b2o
6bo7bobo643bo2bo$98bobobo2bob2o341b2o316b3o$95b2obobob2obo343b2o$94bo
3bobob4o2bo342bo$95bo2bob2o9b2obo628b2o$98bobobob2o2b2ob2ob3o625b2o$
97b2o2bo2bo2bo3bobo4bo625bo$79b2o15b2o2b2o3bobo2bo2bo4b5o$79b2o14bobo
8b2o3bobo6b3o$94bo6bobo3b3obo6bo4bo$94bo2bobo3bo5b5ob3o5bo5bo$100bobo
3bob2o2bo4b2o4b5ob3o288b2o$71b3o21bobo7bo2bo4bobo3b2obobo5b2ob3o283b2o
$96bo7bo4bo2b2obo2bobobo3bobo7bo284bo326bob2o$103bo4b4o4b2o2bobo2bo4bo
3b2o577b2o32b2ob2ob2o$103bo2b2obo3b4o3bo2bobob2obo581b2o32bo2bobo2bo$
110bo3b5obo593bo32bo5b2o4b2o$72b2o37bo5b2ob2o634b2ob2o$71bo2bo44bobo
634b2o3bo$72b2o682b2o$748bo$390b2o352b3ob3o$389b2o352bo6b2o$391bo352b
2o3bo2bo3bo31b3o$82b2o599b2o69b4o32bo$81bo2bo597b2o70bo3bo30bo$82b2o
600bo67bo2bobo$87b3o663bo4$360b2o$359b2o$361bo396bo10b2o10bo36b3o$653b
2o99b3ob3o8b2o8b3ob3o34bo$652b2o99bo6b2o16b2o6bo32bo$654bo99b2o3bo2bo
3bo6bo3bo2bo3b2o$764b4o4b4o$764bo3bo2bo3bo$109bob2o10b2obo635bo2bobo4b
obo2bo$108b2ob2ob2ob2ob2ob2ob2o635bo12bo$107bo2bobob2ob2ob2obobo2bo
201b2o$108bo6bo4bo6bo201b2o$97b3obo14bo2bo211bo516b3o$96bob2ob2o520b2o
225bo$96bo2bo3bob4o6b2o2b2ob3o497b2o225bo$99bobobobob2o7b3o6bo498bo$
79b2o14bo3bo8bo3b3o6bo2bo$79b2o12b4ob3ob4o4bo3b2o4bo$93bo2bo2bo4b4ob2o
3b2o5b2o$92bo4b2ob2obo2bob3o$93bo3bobo3b2o4bo190b2o$71b3o19bo3b3obo2b
2o2bob2o187b2o$92bo3bobo9b2o2bo188bo576b3o$94bo4bo2b2obob3o2bob2o477b
2o285bo$96bo12bobobobo4b2o470b2o285bo$93b3o4b6o3bobo5b2ob2o472bo$72b2o
18b2o5b2o8bobo5b2o3bo$71bo2bo32bo3bobo3b2o$72b2o34bo$112bobo$109bobob
3o154b2o$105b3obo159b2o$104bobobobob2o157bo636b3o$82b2o21bo3b2ob2o449b
2o345bo$81bo2bo24b2o3bo447b2o345bo$82b2o26bo453bo$109b2o3bo$105b3obobo
2bo$104bo6bobobo$105bo3bobobo$107bo3bo128b2o$106bob2o129b2o$104b2o3bo
2bo128bo696b3o$108b2o2bo420b2o405bo$107bobob2obo417b2o405bo$106b2obo2b
4o418bo$105bo2bo2bo4bo$111bobo2bo$105bob2ob2ob2o$104b6ob2o$104b2ob2o2b
o3b2o93b2o$115b2o92b2o$109bo2b4o95bo756b3o$113bo389b2o465bo$113bo388b
2o465bo$504bo$79b2o$79b2o3$180b2o$71b3o105b2o$181bo$473b2o$472b2o$474b
o$72b2o$71bo2bo$72b2o2$150b2o$149b2o$151bo$82b2o359b2o$81bo2bo357b2o$
82b2o360bo5$120b2o$119b2o$121bo$413b2o$412b2o$414bo5$90b2o$89b2o$91bo$
383b2o$382b2o$384bo$79b2o$79b2o4$71b3o2$353b2o$352b2o$354bo8$82b2o239b
2o$81bo2bo237b2o$82b2o240bo$37bo10bo$33b3ob3o6b3ob3o$32bo6bob4obo6bo$
33b2o3bo8bo3b2o$41b4o17bo$39bo2b2o2bo11b3ob2o$36b2o2b6o7b2o2bo5b2o$36b
2o14b2ob3obobobo229b2o$36b5o6bo3bo3bo2b2ob4o227b2o$38bo5bob3o6b2ob3o3b
2o228bo$39bo4bo2b4o15b3o$39bo9b2ob3o2b3ob2o2b2o$53b2o2b3o3b4o2bo$49b2o
2b3o3bobo2b3o2bo$49b2o2bobo4b2o4bo$46b2o2bo2b3ob5o2bob3o$40bo3b2o3b2o
2bo2bo2bo6bo$39b4o4bobobob6ob2o2b2ob2o194b2o$38bo3bo6bob3o208b2o$39bob
o2bo3b2o2b2o2bo4bo6bo195bo$43bo3b2o2bo5bo21b2o$46bobo30b2o$45bo$45bo2b
ob3ob2o$54b2o$47b2obobo3bo$46bob2obo$47b2o184b2o$48bobo181b2o$46b2obob
2ob2o178bo$46b2obo4b2o$45bo3bob3obo$47bob2ob2o$49bobo3bo$49b2o4bo$49b
2o2bobo$49bobobo$45b3o3bob2o27b2o119b2o$44bobo2bobo3bo25bo2bo117b2o$
44bo2b3o5bo26b2o120bo$45bobobobo$52b4o$44bo4b2o4b2o$44b2o3b3o$50b2o$
46b3o2$173b2o$172b2o$174bo8$143b2o$142b2o$47bob2o93bo$46b2ob2ob2obo23b
2o$45bo2bobob2ob2o22b2o$46bo6bo3bo$38bo16bobo10b2o$18bob2o13bobobo22bo
3bobob2o$17b2ob2ob2obo7b2o4bo3bo9bo3bo2b2o2b2obo4bo$16bo2bobob2ob2o6b
2ob3o3bobo7b3ob4obo2b2obo3b3o$17bo6bo3bo2b4o2bo4bo3bo4b2o7bo3bo3bo3bob
2o37b2o$26bob4o5bo2b4ob2o4bobobobo3bo2bo6bo2b2o36b2o$29bo4bo5b2o4b4obo
bo13b2o2bo42bo$27b2o17b2o5bo3bobob2ob2o3bob2o2bo$48bobo7bo6b2o2bobobob
o$63b2obo2bobobo$66bob2obobob2o$63bo2b4obobo3bo$57bob2o9b2obo2bo$55b3o
b2ob2o2b2obobobo$53bo4bobo3bo2bo2bo2b2o$49b5o4bo2bo2bobo3b2o2b2o$49b3o
6bobo3b2o8bobo$48bo4bo6bob3o3bobo6bo$42bo5bo5b3ob5o5bo3bobo2bo$40b3ob
5o4b2o4bo2b2obo3bobo$36b3ob2o5bobob2o3bobo4bo2bo7bobo$35bo7bobo3bobobo
2bob2o2bo4bo7bo$36b2o3bo4bo2bobo2b2o4b4o4bo$41bob2obobo2bo3b4o3bob2o2b
o$51bob5o3bo$50b2ob2o5bo$50bobo!

Evin subsequently used the same p120 puffer engine to construct a much smaller rake, with further reductions given by Bell and Merzenich:

Code: Select all

#C smaller p120 c/3 orthogonal rake by Evin, 7 February 2024
#C with reductions by David Bell and Matthias Merzenich
x = 104, y = 210, rule = B3/S23
58b3o$57b5o$57b5o$55b2o5b2o$52b3o9b3o$51bob2o9b2obo2$51b2o3b2o3b2o3b2o
$50bo2bo2bo5bo2bo2bo$50bo6bo3bo6bo$48bo6b2o5b2o6bo$48bo9bobo9bo$50bob
2o4bobo4b2obo$52b2o4bobo4b2o$52bobobobobobobobo$50b2o3bob2ob2obo3b2o$
49bobo4bob3obo4bobo$49bo3bob3o3b3obo3bo$47b2ob4o11b4ob2o$47b3o2b2ob2o
5b2ob2o2b3o$46b2obo19bob2o$50b2o2b3o5b3o2b2o$50b4o11b4o$50bob2ob2o5b2o
b2obo$51bobo11bobo$45b3o2bo2bo11bo2bo2b3o$45b3o2bo2b2o9b2o2bo2b3o$46b
3o21b3o$46b2o4b2obo7bob2o4b2o$47bobo19bobo$51b3o11b3o$47bobob2obo9bob
2obobo$46b2o2bobobo9bobobo2b2o$47bobo19bobo$47bob3o15b3obo$51bobo11bob
o$50b4o11b4o$49b3obo11bob3o$49b3o2bo9bo2b3o$49bob3o11b3obo$52bo13bo$
48bobobo13bobobo$47b3o2bo13bo2b3o$47b2o7b3ob3o7b2o$47b2o3bo2bobo3bobo
2bo3b2o$48bob4o5bo5b4obo$48b2o2bob11obo2b2o$52bo6bo6bo$52b3o4bo4b3o$
53b2o3b3o3b2o$59bo$51b3o11b3o$51bobo11bobo$50bo3bo9bo3bo$51bo2bo9bo2bo
$51bo15bo$54bo9bo$52bob2o7b2obo$52bob2o7b2obo$54b2o7b2o2$51b5o7b5o$50b
o3bo9bo3bo$50bobo13bobo$53bo11bo$51b2o13b2o$51b4o9b4o$55bo7bo$49b3obo
2bo5bo2bob3o$50b4o2bo5bo2b4o$50b2o3bo7bo3b2o14b2ob3o8b3ob2o$51bo15bo
15b2o4b2ob2ob2o4b2o$54b3o5b3o17bo2bobo4b2o4bobo2bo$51bo2b3obobob3o2bo
5bo15b2ob2ob2o$72bobob2o$31b2o9b2o8bo5bobo5bo4bo4b2o3b2o7b2o2b2o2bo$
28b2ob2o9b2ob2o6bo3bo3bo3bo6bobobobobo2bo6b2ob2o3b2o$28b2o3bo7bo3b2o7b
3o5b3o8b2o2bo2bo3bo3b2ob7o2bo$24b3o2bo15bo2b3o19b2o4bo3b5o3b2ob2o$24b
2o2b3o5b3o5b3o2b2o17bo2b3obo2bo3b2ob2o8bobo$24b3o9b3o9b3o16b2o2bo10bo
3bo2b2o5bo$25bo9bo3bo9bo5bo6b2o3b2o2b2o2bob2o2bo$26bo2bo15bo2bo5bobo7b
o2b2o2bo4bobo3bo3bo$25b2ob2o4bo5bo4b2ob2o4bobo10b2o2bo2b2o2b3o2bob2o$
29b7obob7o9bo12bo6bob2ob2o5b2obo$28bobobo9bobobo23bobo9bo3b2ob2ob3o$
68bo6bo4b2o2bobobo6bo$67b4o3b6o3b2obo5bo2bo$56b3o8b2o5b2ob3o3bo2bo2bo
5b2o$55bo3bo24bobo2b2ob2ob2o$54bo5bo21bob2o10bo$55bo3bo22bo4bo5bo$56b
3o24b2o2b2o4bo3bo$97b2obo$93b2obob2obo$72b2o19b2ob3o3bo$71bobo20bo3bob
2o$73bo22bo5$55bo$55bo$55bo$102b2o$101bobo$103bo$52b2o36b3ob2o$51bo2bo
33b2o4b2o$50b2o2bo32bo3bobo2bo$51b2o2bo26b3o2b3o$24b2ob3o22b4o16bob4o
3bobob3o$24b2o4b2o40b2o4bo3bo4bo$23bo2bobo3bo39bo3bob2o5b2o$30b3o2b3o
35b3obo$32b3obobo$32bo4bo25bo$33b2o27b2o$57b2o4bo$55b4obobo$54bo3bobo
3bo$54bob9o$55b2o8bo$56bobo3bobo$57b2o5bo$59b4o$59b2o4$63b3o$62bo3bo$
53bo7bo5bo$44b2o7bo7b2o4bo$44b2o7bo6b3o4bo$66bo$60bob2obo$60bo$60bo3$
60bob2o$61b2o$11b2ob3o36b2o$11b2o4b2ob2o31b2o$10bo2bobo4b2o$17b2obobo$
21bo10b4o$26b2o2b2obobo$5bob2o9b3ob2obob2o4bo2bob2o16b2o$b3ob2obob2o5b
4ob2obob3obob2o2bo2bo15b2o$o6b2o2bo4bo3bobo2bo2b2o2bo3b2o$b2o3bo3bobo
3bob2o12b2o2b5o$13b2obobo2bobob6o2bo2bo2b2o$13bo2bo6bo5b2obobobo2bo$
13bo2bo6bo3bo3bob2obobo$10bo4bo13bobo2bobobob2o$9b5o14b2obo4bobo2bo$3b
3o2b2o21bo4bobobobo11b3o17bo$2bobob3o13bob5o7bob2o14bo2bo12b3ob2o$3bo
4bo12b2o5bo2b4obobo30bo5b3o$6b2o7b2ob2obobobobobo2b3o3bobo14bo2bo11b2o
7b2o$14bo3bo3b2ob2ob2obo3b2o18b6o13bo4b2o$13bo4bo6bobo6b3o2bobo31bo4b
3o$13bobo3b2ob2o3bob2o3bo3bob3o29b2o3b2o5b3o5bo$7b2ob2ob2o5bo2bo9bob2o
33b2o2b2o2b3o2bo6b3ob3o$2bob2ob2ob2o2bo2b3obo6b2o8bobo29b3ob2o6b2o5b2o
6bo$b2ob2o2bo3bobobo2b2o2bo4b2obo8bo30b2ob2o2b2o3b4obo2bo3b2o$o2bob3o
3bo2bobob2obob3o6bo7bo$bo6bo2b4obo2bo5bo3bo2b2o34b2o16bo$7bo2bobo3bobo
4bobo3bo34b2o4bo15bobo$16bobo4bo2bo41b2o$15bo5bo46bo$15bob2o40b2o$24bo
39b3o$20b3ob3o33b4o2bo$19bo6bob3o31b2o2bo$20b2o3bo5bo31b3o$28b2obo10b
2o$30bo9b3obo$28b4o3b3o2bo3b2o$11bob2ob3o7bo2bob2obo5bobob5o$10b2ob2o
4b2o5bo7bo4bo2b3o3bo$9bo2bobo2bo3bo3bo3bob3ob2ob3o2b2o4bo3b2o$10bo5bo
3b3o2bob5ob2o4b4obo4bo3b2o$21b3obob2o2bobob3obo3bobo$21b2o2bo6bo8bobob
ob3o$23b3o11b2obo2bobobobo$18b2o2b2o14bobob2obobob2o$13bo3bo2b2o15b2ob
2o3bobo3bo4b2o$12b4o4b2o12b2o2b2o4b2obob2o5b2o$11bo3bo14b3ob4o2bobo2bo
bo$12bobo2bo11b2o7bobo2bo3bo$16bo7bob5obobobobo6bo2bo$23b2o2bo3b2obo3b
2obo3b2ob2o$22bo4bo2bo3bobo6bob2obob2o$22bo5b6obobo4bo3bob4o$15b3ob2ob
obo7bo6bo3b2obo2bo$10b2ob2o4bo3bo2b2o2b2o5b3o8bo$10b2o5b3obobobo4bobo
4b3o9b2o$9bo2bob4o2bo2bobobo3b2obo2b6o$17bobo3bobo2b2ob2ob2o5b2o25bo$
21bo3bob2o5b2o11bo18b3ob3o$24b2o5bobo11b4o16b2o6bo$24bo2bo13b2ob2o3bo
3bo6bo3bo2bo3b2o$25bo15b2o2bo5b4o4b4o$40bo2bo7bo3bo2bo3bo$49bo2bobo4bo
bo2bo$50bo12bo!

Dmitry Maitak also found the first period-42 c/3 orthogonal puffer:

Code: Select all

#C p42 c/3 orthogonal puffer by Dmitry Maitak, 6 February 2024
x = 53, y = 116, rule = B3/S23
25b3o$24b5o$24b5o$22b2o5b2o$19b3o9b3o$18bob2o9b2obo2$18b2o3b2o3b2o3b2o
$17bo2bo2bo5bo2bo2bo$17bo6bo3bo6bo$15bo6b2o5b2o6bo$15bo9bobo9bo$17bob
2o4bobo4b2obo$19b2o4bobo4b2o$19bobobobobobobobo$17b2o3bob2ob2obo3b2o$
16bobo4bob3obo4bobo$16bo3bob3o3b3obo3bo$14b2ob4o11b4ob2o$14b3o2b2ob2o
5b2ob2o2b3o$13b2obo19bob2o$17b2o2b3o5b3o2b2o$17b4o11b4o$17bob2ob2o5b2o
b2obo$18bobo11bobo$12b3o2bo2bo11bo2bo2b3o$12b3o2bo2b2o9b2o2bo2b3o$13b
3o21b3o$13b2o4b2obo7bob2o4b2o$14bobo19bobo$18b3o11b3o$14bobob2obo9bob
2obobo$13b2o2bobobo9bobobo2b2o$14bobo19bobo$14bob3o15b3obo$18bobo11bob
o$17b4o11b4o$16b3obo11bob3o$16b3o2bo9bo2b3o$16bob3o11b3obo$19bo13bo$
15bobobo13bobobo$14b3o2bo13bo2b3o$14b2o7b3ob3o7b2o$14b2o3bo2bobo3bobo
2bo3b2o$15bob4o5bo5b4obo$15b2o2bob11obo2b2o$19bo6bo6bo$19b3o4bo4b3o$
20b2o3b3o3b2o$26bo$18b3o11b3o$18bobo11bobo$17bo3bo9bo3bo$18bo2bo9bo2bo
$18bo15bo$21bo9bo$19bob2o7b2obo$19bob2o7b2obo$21b2o7b2o2$18b5o7b5o$17b
o3bo9bo3bo$17bobo13bobo$20bo11bo$18b2o13b2o$18b4o9b4o$22bo7bo$16b3obo
2bo5bo2bob3o$17b4o2bo5bo2b4o$17b2o3bo7bo3b2o$18bo15bo$21b3o5b3o$18bo2b
3obobob3o2bo2$19bo5bobo5bo$20bo3bo3bo3bo$21b3o5b3o2$b3o9b3o21b3o9b3o$b
obo9bobo21bobo9bobo$o3b2o5b2o3bo19bo3b2o5b2o3bo$o15bo4b2ob2ob2ob2o4bo
15bo$o5bo3bo5bo19bo5bo3bo5bo$bob3ob3ob3obo21bob3ob3ob3obo$b2o11b2o7bo
5bo7b2o11b2o$2b2o9b2o6b2obo3bob2o6b2o9b2o$22b2o5b2o$3bobo5bobo9bo5bo9b
obo5bobo$3bobo5bobo25bobo5bobo$3bo4bo4bo25bo4bo4bo$5bobobobo29bobobobo
$4b2obobob2o27b2obobob2o$4bo2bobo2bo27bo2bobo2bo$3bob2o3b2obo25bob2o3b
2obo$4b3o3b3o27b3o3b3o$3b2o7b2o25b2o7b2o$3b2obo3bob2o25b2obo3bob2o$bo
4b2ob2o4bo21bo4b2ob2o4bo$bo4b2ob2o4bo21bo4b2ob2o4bo$bo2bo7bo2bo4b2o9b
2o4bo2bo7bo2bo$3b5ob5o6b2o9b2o6b5ob5o$4bo7bo27bo7bo$2b3o2bobo2b3o23b3o
2bobo2b3o$bo5bobo5bo21bo5bobo5bo$bo13bo21bo13bo$2bob2o5b2obo23bob2o5b
2obo$2b2o9b2o23b2o9b2o$2bo11bo23bo11bo$bobo9bobo21bobo9bobo2$b2o11b2o
21b2o11b2o3$20b2o9b2o$20b2o9b2o!

-Matthias Merzenich

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 20th, 2025, 11:07 am

New 2c/7 tagalongs
(by Caleb R. Hilton, Matthias Merzenich, Dmitry Maitak)

In March 2024, Caleb R. Hilton and Matthias Merzenich found new 2c/7 tagalongs that could be combined in a variety of ways, with additional combinations being found by Dmitry Maitak:

Code: Select all

#C A single 2c/7 spaceship showing a variety of new components and connections
#C By Caleb R. Hilton, Matthias Merzenich, and Dmitry Maitak, March 2024
x = 130, y = 232, rule = B3/S23
46bo17bo$45bobo15bobo$44bo3bo13bo3bo$45bobo15bobo$45b3o15b3o2$3bo12bo
27b2ob3o11b3ob2o$2b3o10b3o28b2o2bo9bo2b2o$2b3o10b3o28b2o3bo7bo3b2o$47b
2ob3o5b3ob2o$49b2ob2o3b2ob2o$5bo3b2o3bo10bo28bobo28bo15bo$3bob4o2b4obo
7bobo23bo3bobo3bo23bobo13bobo$3bob4o2b4obo6bo3bo23bobo3bobo23bo3bo2b3o
b3o2bo3bo$24bobo25bo5bo25bobo2bo2bobo2bo2bobo3b2o$3o4b6o7b3o2bo2b3o17b
3o9b3o17b3o2bo2bo9bo2bo2b2o2bo$6b2o4b2o74bobo5bobo4bo3bo$6b2o4b2o75bo
7bo5bo2b2o$3o17b3o5b3o17b3o9b3o17b3o6b3o3b3o5bo2b2o$bo19bo7bo19bo11bo
19bo7bo2bobo2bo5b2o2bo$2bo17bo9bo17bo13bo17bo6bobob2ob2obobo6bo$4b2o
11b2o13b2o11b2o17b2o11b2o26b2obo$5b2o9b2o15b2o9b2o19b2o9b2o$b2o3bo9bo
3b2o7b2o3bo9bo3b2o11b2o3bo9bo3b2o$b3o2b3o5b3o2b3o7b3o2b3o5b3o2b3o11b3o
2b3o5b3o2b3o22b3o$3bo2b3o5b3o2bo11bo2b3o5b3o2bo15bo2b3o5b3o2bo$4bo2b2o
5b2o2bo13bo2b2o5b2o2bo17bo2b2o5b2o2bo24b2o$5b3o7b3o15b3o7b3o19b3o7b3o
25b2o$3bob3o7b3obo11bob3o7b3obo15bob3o7b3obo24b2o$6b2o7b2o17b2o7b2o21b
2o7b2o26bo2b2o$4bobo9bobo13bobo9bobo17bobo9bobo25bobobo$4b3o9b3o13b3o
9b3o17b3o9b3o24b3o2bo$4bobo9bobo13bobo9bobo17bobo9bobo24b2o2b3o$6b2o7b
2o17b2o7b2o21b2o7b2o26b2o2b2o$3b2o13b2o11b2o13b2o15b2o13b2o22bo$4b2o
11b2o13b2o11b2o17b2o11b2o22bo$4b2o11b2o13b2o11b2o17b2o11b2o22bo2bo$5bo
bo7bobo15bobo7bobo19bobo7bobo23bo2bo$8bo5bo21bo5bo25bo5bo27b3o$103bobo
$6b2o7b2o17b2o7b2o21b2o7b2o26b2obo$5bo11bo15bo11bo19bo11bo24bobo$4bobo
9bobo13bobo9bobo17bobo9bobo21bobob2o$4bob2o7b2obo13bob2o7b2obo17bob2o
7b2obo21bob2o$3b2obo9bob2o11b2obo9bob2o15b2obo9bob2o20b2o$3bo15bo11bo
15bo15bo15bo$4bobo9bobo13bobo9bobo17bobo9bobo$4bo13bo13bo13bo17bo13bo$
4b3ob2o3b2ob3o13b3ob2o3b2ob3o17b3ob2o3b2ob3o$3bo4b2o3b2o4bo11bo4b2o3b
2o4bo15bo4b2o3b2o4bo$2bo6bo3bo6bo9bo6bo3bo6bo13bo6bo3bo6bo$7b2o5b2o19b
2o5b2o23b2o5b2o$b2ob4o7b4ob2o7b2ob4o7b4ob2o11b2ob4o7b4ob2o$b2o17b2o7b
2o17b2o11b2o17b2o2$2bo5b3ob3o5bo9bo5b3ob3o5bo13bo5b3ob3o5bo$2bob5obobo
b5obo9bob5obobob5obo13bob5obobob5obo$6bo3bobo3bo17bo3bobo3bo21bo3bobo
3bo$3b2ob4o3b4ob2o11b2ob4o3b4ob2o15b2ob4o3b4ob2o$3b3ob2o5b2ob3o11b3ob
2o5b2ob3o15b3ob2o5b2ob3o2$9b2ob2o23b2ob2o27b2ob2o$10bobo25bobo29bobo$
8b2o3b2o21b2o3b2o25b2o3b2o$7bobo3bobo19bobo3bobo23bobo3bobo$7b2o5b2o
19b2o5b2o23b2o5b2o$7bo7bo19bo7bo23bo7bo$8b3ob3o21b3ob3o25b3ob3o$10bobo
25bobo29bobo$8bobobobo21bobobobo25bobobobo$6bo3bobo3bo17bo3bobo3bo21bo
3bobo3bo$6b3obobob3o17b3obobob3o21b3obobob3o$9bo3bo23bo3bo27bo3bo$11bo
27bo31bo$5bo4b3o4bo15bo4b3o4bo19bo4b3o4bo$6bo9bo17bo9bo21bo9bo$8b3ob3o
21b3ob3o25b3ob3o2$9b2ob2o23b2ob2o27b2ob2o$9b2ob2o24bobo28b2ob2o$36bobo
bobo$7b9o19b2obobob2o23b9o$7bo3bo3bo20bo5bo24bo3bo3bo$5bobo7bobo47bobo
7bobo$4bo2b2o5b2o2bo15b2o7b2o19bo2b2o5b2o2bo$5bobobo3bobobo15bob2o5b2o
bo19bobobo3bobobo$6bo3bobo3bo15b2ob2o5b2ob2o19bo3bobo3bo$7bobo3bobo17b
ob2o5b2obo21bobo3bobo$7bo7bo15bo2bo9bo2bo19bo7bo$7bo7bo14bo6b2ob2o6bo
18bo7bo$6b3o5b3o13bo4bo7bo4bo17b3o5b3o$6bo2bo3bo2bo14b2o4b2ob2o4b2o18b
o2bo3bo2bo$5b2o9b2o16b3o5b3o20b2o9b2o$5bobo7bobo18bo5bo22bobo7bobo$4b
2o11b2o45b2o11b2o$3bobo11bobo43bobo11bobo$3bobo11bobo43bobo11bobo$3bob
o11bobo43bobo11bobo$6bo9bo49bo9bo$4bobo9bobo45bobo9bobo$6b2o7b2o49b2o
7b2o$6b3o5b3o49b3o5b3o$6b2obo3bob2o49b2obo3bob2o$5bo3b2ob2o3bo47bo3b2o
b2o3bo$4b2o3bo3bo3b2o45b2o3bo3bo3b2o$3bo5bo3bo5bo43bo5bo3bo5bo$2bobo3b
3ob3o3bobo41bobo3b3ob3o3bobo$2bo2bo2bo5bo2bo2bo41bo2bo2bo5bo2bo2bo$3bo
bo11bobo43bobo11bobo7bo17bo$9b2ob2o55b2ob2o13bo17bo$4bo2bo3bo3bo2bo45b
o2bo3bo3bo2bo7bobo15bobo$8bo5bo53bo5bo12bo17bo$5bo2bo5bo2bo47bo2bo5bo
2bo9bo17bo$5b3o7b3o47b3o7b3o8b3o15b3o$3bo2bo9bo2bo43bo2bo9bo2bo5b2ob2o
13b2ob2o$5bo11bo47bo11bo7b2obo15bob2o$2bo5b3ob3o5bo41bo5b3ob3o5bo8b2o
11b2o$2bobobobo5bobobobo41bobobobo5bobobobo8bob2o7b2obo10bo12bo$3bo4b
2o3b2o4bo43bo4b2o3b2o4bo12b3o3b3o12bobo10bobo$8bo5bo53bo5bo15b2o3bobo
3b2o9bo3bo8bo3bo$4bo2bo7bo2bo45bo2bo7bo2bo13b2obobob2o12bo2bo8bo2bo$4b
2obo7bob2o45b2obo7bob2o13bo7bo12bobo4b2o4bobo$4b3o9b3o45b3o9b3o16bobo
16b3o3b2o3b3o$3b2o13b2o43b2o13b2o14bo3bo18bo6bo$69b3o17b3o9b3o5b3o4bo
2b4o2bo$70bo19bo11bo7bo9b2o$117b3o2b3o$69bobo17bobo9bobo5bobo$69bobo
17bobo8bo11bo$70bo19bo10bo3bobo3bo$72b3o11b3o14b3ob3o$72b2ob2o7b2ob2o
9b3o2bo5bo2b3o$71bob4o7b4obo8b2o3b3ob3o3b2o$71b2o3b2o5b2o3b2o8b2ob2o7b
2ob2o$72bo15bo10b3ob2o3b2ob3o$71bobobo9bobobo10b2o9b2o$71b2ob2o9b2ob2o
$72b4o9b4o11b3obo3bob3o$72bo15bo14bobobobo$73b2o11b2o8b3o15b3o$74bo11b
o9bo2b5ob3ob5o2bo$73bobo9bobo8bob5o7b5obo$73b3o9b3o$73b2o11b2o$75bo9bo
16b9o$101bobobobobobo$73bob2o7b2obo13bo9bo$74b2o9b2o13bob2o5b2obo$73bo
13bo12b2obobobobob2o$75bo9bo16b2obobob2o$74bo11bo12b2obobo3bobob2o$75b
o9bo12bo3bo7bo3bo$73b2o11b2o9bo4bo7bo4bo$73b2o2bo5bo2b2o9bo5bo5bo5bo$
98bo15bo$74bobo7bobo12bo4b2ob2o4bo$75bo9bo14b4obobob4o$73bo2b2o5b2o2bo
11bo2bo7bo2bo$72b4ob2o3b2ob4o15b2ob2o$71bo4b2o5b2o4bo9b2o2bo5bo2b2o$
78bo3bo13b2o6b2ob2o6b2o$69b2obo15bob2o3bo2bo4bo5bo4bo2bo$72bo15bo6bo4b
o3b2ob2o3bo4bo$69b2o5bob2ob2obo5b2o9bobobobobobo$72bo3b2obobob2o3bo7bo
4b3obobob3o4bo$72b2o3bobobobo3b2o8b2o5bo3bo5b2o$75b2obo3bob2o15b3o5b3o
$72bo15bo11bobo7bobo$74bo11bo12b2o11b2o$73bo4b2ob2o4bo12bob2o5b2obo$
79bobo18bo2bo5bo2bo$77bo5bo16bo11bo$77bo5bo16bo2bo5bo2bo$77bobobobo19b
o5bo$77bo5bo16bo2bo5bo2bo$76b3o3b3o$78bo3bo18b3o5b3o$79bobo20b2obobob
2o$76b2obobob2o$75bo3bobo3bo16b2o5b2o$74bo3bo3bo3bo16bobobobo$77bo5bo
15bo4b2ob2o4bo$74b3o3bo3b3o10b2obo3b2ob2o3bob2o$78b2ob2o14b2o2bo4bo4bo
2b2o$78b2ob2o16bo2bo7bo2bo$99bo2bo7bo2bo$78b2ob2o17b2o9b2o$79bobo15bob
2o11b2obo$96bo2bo13bo2bo$77b7o13bo3bo9bo3bo$76b2o5b2o21bo$75bo2bo3bo2b
o13bobo3b3o3bobo$73b2o2bo5bo2b2o12bo4b3o4bo$76b3o3b3o$72bo4bo5bo4bo13b
o7bo$101b3o5b3o$75bob2o3b2obo16b2o5b2o$74bo11bo13bo11bo$77b2o3b2o15bob
o9bobo$76b2o5b2o13b2obo9bob2o$75b3o5b3o15bo9bo$77bo5bo14b2o13b2o$74bo
11bo$72b2o3bo5bo3b2o$72b2o2bo7bo2b2o2$72b3o2bo5bo2b3o$72b2o3bo5bo3b2o$
75bo9bo$76bo7bo$77b2o3b2o$75b5ob5o$74b4obobob4o$72b2obobo5bobob2o$72b
2o4bo3bo4b2o$72b2o5bobo5b2o$79bobo$73bobo3b3o3bobo$73bo2bo7bo2bo$73bob
o9bobo$75bo9bo$73bobo9bobo$73bobo9bobo$72bo5bo3bo5bo$71bo2bo2bobobobo
2bo2bo$71bo3bo9bo3bo$72b2ob2ob2ob2ob2ob2o$76bo7bo$75b2o7b2o$73bobo9bob
o2$72b3o11b3o!

Maitak then used these components to construct the first support for the p21 doo-dah tagalong that does not include any weekenders:

Code: Select all

#C Weekender-less doo-dah by Dmitry Maitak, 22 March 2024
x = 81, y = 93, rule = B3/S23
9b3o25b3o13b3o13b3o$44b2ob2o11b2ob2o$5bo3bobo25bobo3bobobobo3bobo3bobo
bobo3bobo3bo$4bobo3bo3bo19bo3bo4bobobobo4bo4bobobobo4bo3bobo$3b2o2bo6b
o19bo8b2o3b2o9b2o3b2o7bo2b2o$6b2o5bobo17bobo6b2o5b2o7b2o5b2o6b2o$6b2o
32bobo7bobo3bobo7bobo4b2o$6b2o5bobo17bobo3bo5bobo5bobo5bobo5bo3b2o$3bo
9b3o17b3o4bo4bobo4bo3bo4bobo4bo8bo$3b3o34b2o3bobo3b2o3b2o3bobo3b2o6b3o
$3b2obo10b2o11b2o13bobo13bobo10bob2o$5b3o8b2obo9bob2o11b2ob2o11b2ob2o
8b3o$5b3o11b2o7b2o43b3o$15b2o3bo7bo3b2o$16bo3bo7bo3bo$5bo9bo17bo41bo$
3b2o10b2ob2o9b2ob2o42b2o$4bo2bo9b2o11b2o41bo2bo$5b3o65b3o$5bo2bo7b3o
11b3o39bo2bo$7bo10bo11bo42bo$5bobo65bobo$4bobobo8b3o9b3o40bobobo$2b3ob
obo9bobo7bobo41bobob3o2$2b2o13bo2bo7bo2bo45b2o$bobobo13bo9bo45bobobo$b
obo2b2o9b3o9b3o13b3o13b3o9b2o2bobo$5b3o36bo3bo2b3ob3o2bo3bo8b3o$18bobo
7bobo10b2o10bobo10b2o$2b3o13bo11bo9b2o9bobobobo9b2o7b3o$2o15b2o11b2o7b
o29bo9b2o$3o3bo10b2o3bo3bo3b2o6b5o6b2o7b2o6b5o3bo3b3o$2o2bobo14bo5bo
10b2ob2o3bob2obo5bob2obo3b2ob2o3bobo2b2o$bo3bo11bo2bo7bo2bo7b4o6b2ob2o
b2ob2o6b4o5bo3bo$bo12bo19bo5bo4bo7bobo7bo4bo10bo$18b3o7b3o13bo5b4ob4o
5bo$40b3o9bo3bo9b3o$14bo2b2obobo3bobob2o2bo7bo23bo$15bob2o2bobobobo2b
2obo$16b3o2bo5bo2b3o10bo21bo$14bob2o13b2obo9bo19bo$13b2o3bo4bobo4bo3b
2o7b2o19b2o$13b2o2b4o2bobo2b4o2b2o6b2o21b2o$17b2obo2bobo2bob2o8b3o23b
3o$17bo3bobobobo3bo$17bob2o2bobo2b2obo9b2o23b2o$16b3o11b3o8b2o23b2o$
18bo3bo3bo3bo8b4obo19bob4o$16b2o4bo3bo4b2o6bo5b2o15b2o5bo$23bobo$22b2o
b2o20bo13bo$21b3ob3o16bo2bo13bo2bo$21bobobobo14b3o2bo13bo2b3o$19bobo5b
obo11b2o23b2o$21bo5bo$22bo3bo18b2o15b2o$23bobo19b2o15b2o$21bobobobo14b
2o3bo13bo3b2o$20b2obobob2o13b2o3b2o11b2o3b2o$18b2ob2o3b2ob2o8bo5bob2o
11b2obo5bo$18b3o7b3o6b2obo5bo15bo5bob2o$19bo9bo7b2o2bo25bo2b2o$23b3o
13bo2bo23bo2bo$22b2ob2o12bo2bo23bo2bo$40b2o25b2o$22b2ob2o10bob2o27b2ob
o$23bobo10bo2bo29bo2bo$20b2obobob2o8bo3bo25bo3bo$23bobo20bo15bo$19bo9b
o9bobo3b3o4bo3bo4b3o3bobo$21b2o3b2o12bo4b3o4b2ob2o4b3o4bo$51bobobobo$
18b2o9b2o11bo9bo3bo9bo$18b2ob2o3b2ob2o10b3o6bo7bo6b3o$21bo5bo14b2o4b3o
7b3o4b2o$18b4o5b4o9bo7bo2b2o3b2o2bo7bo$16bo5bo3bo5bo6bobo6b6ob6o6bobo$
15b2obo3bo3bo3bob2o4b2obo7bo9bo7bob2o$18bobobo3bobobo10bo9bobobobo9bo$
15b2o4bo5bo4b2o4b2o12b2ob2o12b2o$21bo5bo$22b2ob2o5bo6bo$32bo6bo$32b2o
4b2o$33b2o2b2o$33b2o2b2o$32b3o2b3o$28bobobo6bobobo$28bobob2o4b2obobo$
28bo3b8o3bo$29b3o3b2o3b3o$29b3o8b3o!

-Matthias Merzenich

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 20th, 2025, 11:44 am

Independent p16 and p26 reflectors
(by James Pascua, Period1GliderGun)

These were the first independent glider reflectors of periods 16 and 26. Before these discoveries, only dependent reflectors were known at these periods.

Code: Select all

#C p16 independent reflector by James Pascua, 17 March 2024
#C p26 independent reflector by Period1GliderGun, 20 March 2024
x = 132, y = 63, rule = B3/S23
71bo$72bo$70b3o5$5bo72bo$3bobo70bobo$4b2o71b2o2$9bo$7bobo$8b2o74bo$85b
o$13bo69b3o$11bobo$12b2o99b2o$114bo11bo$17bo95bo10b5o$15bobo73bo21b4o
6bo5bo$16b2o71bobo24bo6b4o2bo$90b2o19b3o10bo2bob2o$110bo2bo10b4o3bo$
110b2o11b2o3bobo$30b2o72b2o11bo4bo2bob2ob2o$23b2o5bo73b2o10b2o4bo2bo$b
2o22bo2bobo78bobo5bo4bo2bob2ob2o$b2o12b3o10b2o80bo12b2o3bobo$3b3o9b3o
74b2o15b2o13b4o3bo$3bo11b3o6bo67b2o2b2o12bo13bo2bob2o$b3o8b3o9b2o70bob
ob2o11b2o8b4o2bo$b2o9b3o11bo3bo66bo6bo5bo12bo5bo$bo10b3o7b3obo2bobo72b
o5bo13b5o$2bo16b2o2bo2bo3bo63b2o7b3o3b3o14bo$7b2o9bobo5bo68bo$b2o4b2o
11bo2bo2bo65b3o$24b2o66bo$2b2o11b2o$o2bo3b2o5bobo86b2o5b2o$o2bo3bob2o
5bo76bo10b2o3b2o10bo$2b2o4b3o82b3o5bo2bobobobo2bo5b3o$96bo4bo11bo4bo$b
2o18b2o72b2o4bo2bobobobo2bo4b2o$6bo7bo5bobo81b2o3b2o$2bo2bobo5b3o4bobo
b2o77b2o5b2o$bo4bo5b2obo5bobobo72bo17bo$b2o20bo73bobo15bobo$b3o18bo2bo
$3bo18bo74b3o15b3o$3b3o10b2o4bo81b2o3b2o$b2o7b2o5b2o3bo4bo76b2o3b2o$b
2o13b2o4bo3bobo68b3o15b3o$16bo6bo2b2obo$27bobo62bo11bo5bo11bo$11b2o10b
4ob3o60bobo9bobo3bobo9bobo$12bo9bo7bo60bo2bob2ob2obo2bo3bo2bob2ob2obo
2bo$9b3o11b3ob3o60b2obobobobobobob2ob2obobobobobobob2o$9bo15bobo63bo2b
2obobob2o2bo3bo2b2obobob2o2bo$91bo4b2ob2o4bo3bo4b2ob2o4bo$92b3o7b3o5b
3o7b3o$94bob2ob2obo9bob2ob2obo$95bobobobo11bobobobo!

-Matthias Merzenich

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 20th, 2025, 12:41 pm

Faster 2c/3 signal injectors and receivers
(by Entity Valkyrie, James Pascua, Adam P. Goucher, Simon Ekström, Tanner Jacobi, Evin, vilc, Caleb R. Hilton)

On March 9, 2025, James Pascua noticed that a known beehive push catalyst by Tanner Jacobi could inject a 2c/3 signal and used this fact, along with a glider-to-traffic-light partial by Caleb R. Hilton, to construct a stable glider-to-signal converter with a repeat time of only 100 ticks:

Code: Select all

#C stable glider-to-signal converter with 100-tick repeat time
#C By James Pascua, 9 March 2024
x = 118, y = 74, rule = B3/S23
32b2o$31bobo$25b2o4bo$23bo2bo2b2ob4o$23b2obobobobo2bo$26bobobobo$26bob
ob2o$27bo2$40b2o$31b2o7bo$31b2o5bobo$38b2o2$94b2o$94bo$11bo84bo$11b3o
69bo11b2o$o13bo68b3o11b2o$3o10b2o13b2o56bo8b2o2bo$3bo25bo55b2o9bobo$2b
2o22b3o51b2o7bo4bobob2o$25bo53bobo6bobo3b2o$24bo2b2o48b3obobo4bo2bo$
25b2o2bo46bo5b2o5b2o$10b2o16b2o46b2o$10b2o79bo$53bo36b2o$53b3o34bobo$
56bo$55b2o23b2o$80b2o$3b2o$3bobob2o$5bob2o$4bo83bo$4b2ob2o9bo68bobo$5b
obo9bobo23b2o36b2o4bobo4b2o$5bobo9bobo5b2o15bo2bo35bo2bo3bo3bo2bo$6bo
11bo6b2o16b2o37b3o7b3o$68b2o$68bo11b7o3b7o$40b2o17b2obo6b3o8bo6bobo6bo
$41bo17b2ob3o6bo9bobob2o3b2obobo$38b3o24bo16b2obo5bob2o$38bo20b2ob3o
22bobo$7bo50bo2b2o23b2ob2o$7b3o48b2o$10bo38b2o$9bo2bo37bo$9b4o34b3o$
47bo68bo$11b2o8b2o92b2o$11bo8bo2bo91bobo$9bobo9bobo$9b2o11bo2$14b2o6bo
6b2o$14bobo4bobo4bobo$16bo4bobo4bo$16b2o4bo4b2o$18bo7bo$16b3o7b3o$15bo
13bo$15b6o3b6o$21bobo$13b6o2bobo2b6o$12bo6bobobobo6bo$12b5o2bobobobo2b
5o$17bobobobobobo$12b3o2bobo2bo2bobo2b3o$12bo2bobobo5bobobo2bo$13bobob
ob2o3b2obobobo$12b2ob2o11b2ob2o!

Entity Valkyrie subsequently found a stable glider-to-signal converter with a repeat time of 61 ticks, the same repeat time as the speed tunnel:

Code: Select all

#C stable glider-to-signal converter with 61-tick repeat time
#C By Entity Valkyrie, 20 March 2024
x = 182, y = 121, rule = B3/S23
70b2o$70bobo$72bo4b2o$68b4ob2o2bo2bo$68bo2bobobobob2o$71bobobobo19b2o$
72b2obobo20bo$76bo20bo$97b2o11bo64b2ob2o$62b2o31b2o11b3o63bobobobo$63b
o7b2o21bo2b2o8bo66bobobo2bo$63bobo5b2o22bobo9b2o62b2obobo2b2o$64b2o28b
2obobo4bo7b2o3b2o21b2o30bobobo$98b2o3bobo6bo5bo21bo31bobo2b4o$102bo2bo
4bobo5bobo17bobo28b2obobo5bo$103b2o5b2o7bobo16b2o28bobobo2b3o$120bo3b
2o42bobobo4bo$124b2o39b2obobo2b4o$94bo71bobobo$56bo17b2o16b3o71bobo2b
4o$56b3o15bo3bo12bo71b2obobo5bo$59bo15b4o12b2o19b2o48bobobo2b3o$58b2o
52b2o39b2o7bobobo4bo$70b2o3b2o76bo5b2obobo2b4o$54b2o14bobobo2bob2o73b
3obobobobo$53bo2bo15bob2obob2o75bobobobo2b4o$53bob2o14b2obo2bo27bo51b
2obobo5bo$52b2o22b2o26bobo53bo2b3o$51bo3b2o24b2o15b2o4bobo4b2o47bo5bo$
52b3o2bo22bobo5b2o8bo2bo3bo3bo2bo41b2o5b6o$55b2obo15b2o4bo7b2o9b3o7b3o
25b2o14bo2bo$54bo2bo5bo10b2o3b2o43b2o11b2o15b2o5b6o$54b2o6bobo32b7o3b
7o11bo34bo5bo$62bobo28bo3bo6bobo6bo8b3o35bo2b3o$63bo25b2obobo3bobob2o
3b2obobo9bo34b2obobo5bo$73b2o13bobobobo4b2obo5bob2o44bobobobo2b4o$74bo
10bo2bobobob2o8bobo47b3obobobobo$71b3o11b4ob2o2bo8b2ob2o45bo5b2obobo2b
4o$71bo17bo4bo58b2o7bobobo4bo$72b2o11b2o2bob3o68bobobo2b3o$57b2o14bo
11b2o3b2o71b2obobo5bo$57b2o12bo94bobo2b4o$71b2o93bobobo$165b2obobo2b4o
$168bobobo4bo$168bobobo2b3o$169b2obobo5bo$172bobo2b4o$52b2o9b2o8bo98bo
bobo$51bobo2b2o5b2o6b3o97b2obobo2b2o$50bo2bobobo12bo103bobobo2bo$50b2o
bobo14b2o4b2o96bobobobo$53bob2o19bo98b2ob2o$50b2obo20bobo$48bo2bobo20b
2o$48b2o2bo4b2o$56bo2bo11b2o$48b2o2bo4b2o11bo2bo$48bo2bobo16bobo$50b2o
bo17bo$53bob2o$50b2obobo$50bo2bobobo14b2o$51bobo2b2o14bo2bobob2o$17b2o
b2o30b2o19b3ob2obo$18bobo55bo$bo11b2obo5bob2o19bo25bo3bo2b2o$2bo9bobob
2o3b2obobo9bo8b3o22bobo2b3obo$3o8bo6bobo6bo8b3o9bo21bob3o$11b7o3b7o11b
o7b2o18b2obo4bo$38b2o27bobobobobo17b2o$13b3o7b3o43bobob2o4b2o13bo$12bo
2bo3bo3bo2bo41bobo8bo12bo$12b2o4bobo4b2o42bo7bobo12b5o14b2o$18bobo56b
2o18bo13bo$19bo74b3o12bobo$93bo15b2o$66b2o25b4o$53bo11bo2bo22b2o3bo3b
2o$26b2o24bobo11b2o22bo2b3o4b2o$26b2o23bo2bo35b2obo$52b2o39bo$15bobo
75b2o$16b2o31b2o$16bo21b2o8bobo$34bo3b2o8bo26b2o24b2o$17b2o5b2o7bobo
11b2o12b2o10bo2bo25bo$16bo2bo4bobo5bobo25bobo10b3o23b3o$12b2o3bobo6bo
5bo25b3obobo34bo$8b2obobo4bo7b2o3b2o24bo5b2o3b2o3b3o52b2o$9bobo9b2o34b
2o9b2o4bobo51bo$8bo2b2o8bo50bo3bo53bo$9b2o11b3o47b4o34b2o14b5o$11b2o
11bo86bo13bo$11bo60b2o37bobo12b3o$12bo59b2o38b2o15bo$11b2o113b4o$121b
2o3bo3b2o$108bo12b2o4b3o2bo$106b3o20bob2o$105bo23bo$105b2o21b2o3$120b
2o$120bo$121b3o$123bo$95b2o$94bobo5b2o$94bo7b2o$93b2o2$107bo$103b2obob
o$102bobobobo$99bo2bobobobob2o$99b4ob2o2bo2bo$103bo4b2o$101bobo$101b2o
!

Evin noted that multiple gliders could be used to inject signals faster, and vilc used this idea to find a combination of LWSSs and gliders could inject signals with repeat times as low as 36 ticks:

Code: Select all

#C two gliders and two LWSSs inject signals with a repeat time of 36 ticks
# By vilc, 23 March 2024
x = 88, y = 93, rule = B3/S23
81b2ob2o$80bobobobo$80bobobo2bo$77b2obobo2b2o$78bobobo$78bobo2b4o$75b
2obobo5bo$74bobobo2b3o$74bobobo4bo$71b2obobo2b4o$72bobobo$72bobo2b4o$
69b2obobo5bo$68bobobo2b3o$68bobobo4bo$65b2obobo2b4o$66bobobo$66bobo2b
4o$63b2obobo5bo$62bobobo2b3o$62bobobo4bo$59b2obobo2b4o$60bobobo$60bobo
2b4o$57b2obobo5bo$56bobobo2b3o$56bobobo4bo$53b2obobo2b4o$54bobobo$54bo
bo2b4o$19bo31b2obobo5bo$20b2o28bobobo2b3o$19b2o29bobobo4bo$47b2obobo2b
4o$48bobobo$48bobo2b4o$45b2obobo5bo$44bobobo2b3o$35b2o7bobobo4bo$28bo
6bo5b2obobo2b4o$29b2o5b3obobobobo$28b2o8bobobobo2b4o$39b2obobo5bo$42bo
2b3o$9bo2bo14bo2bo11bo5bo$b4o8bo5b4o8bo4b2o5b6o$o3bo4bo3bo4bo3bo4bo3bo
3bo2bo$4bo5b4o8bo5b4o4b2o5b6o$o2bo14bo2bo20bo5bo$42bo2b3o$39b2obobo5bo
$38bobobobo2b4o$36b3obobobobo$35bo5b2obobo2b4o$35b2o7bobobo4bo$44bobob
o2b3o$24b2o19b2obobo5bo$25b2o21bobo2b4o$24bo23bobobo$47b2obobo2b4o$50b
obobo4bo$50bobobo2b3o$51b2obobo5bo$54bobo2b4o$54bobobo$15b2o36b2obobo
2b4o$16b2o38bobobo4bo$15bo40bobobo2b3o$57b2obobo5bo$60bobo2b4o$60bobob
o$59b2obobo2b4o$62bobobo4bo$62bobobo2b3o$63b2obobo5bo$66bobo2b4o$66bob
obo$65b2obobo2b4o$68bobobo4bo$68bobobo2b3o$69b2obobo5bo$72bobo2b4o$72b
obobo$71b2obobo2b4o$74bobobo4bo$74bobobo2b3o$75b2obobo5bo$78bobo2b4o$
78bobobo$77b2obobo2b2o$80bobobo2bo$80bobobobo$81b2ob2o!

On the other side of the wire, Entity Valkyrie and Adam P. Goucher made incremental improvements to the fastest stable signal receiver, ultimately resulting in a receiver with a repeat time of 708 ticks (a reduction from 970 ticks before 2024) using a bait constellation proposed by Simon Ekström:

Code: Select all

#C Signal receiver with a 708-tick repeat time
#C By Entity Valkyrie, 4 July 2024
#C Using a bait constellation by Simon Ekström, 11 April 2024
x = 163, y = 120, rule = B3/S23
8b2o$8b2o56b2o$59b2o5b2o$6b6o47b2o$5bobo4bo80bo14bo$5bob6o80b3o11bobo$
4b2obo7bo45b2o33bo10bobo$7bo2b6o45b2o32b2o9b2ob3o$7bobo45b2o55bo$6b2ob
o2b6o37b2o44b2o3b2ob3o$9bobo6bo82b2o3b2obo$9bobo2b5o$10b2obo7bo126bo$
13bo2b6o70b2o27b2o23b3o$13bobo76b2o28bo22bo$12b2obo2b6o98bobo20b2o$15b
obo6bo85b2o11b2o2b2o$15bobo2b5o85bo16b2o$16b2obo7bo80bobo$19bo2b6o80b
2o$19bobo$18b2obo2b6o52b2o38b2o4b2o$21bobo6bo51bo12b2o25b2o4b2o$21bobo
2b5o2bo2bo38bo7b3o8bobo$22b2obo7b4o36b3o9bo8bo$25bo2b5o4b2o33bo20b2o$
25bobo6b2o2bo2bo30b2o$24b2obo2b4ob2o2b3o22b2o$27bobo7b2o25b2o91b2o$27b
obo2b4o3bo117bobo$26b2obobo4b3o2b2o116bo$29bobo2bo4b2obo54b2o60b2o$29b
obobob4o2bo54bobo$28b2obobo5bobobo52bo$32bo2b4obob2o51b2o61b2o$33b2o3b
obo39bo49b2o21b2o2bo2bo$35b2o3b4o34b3o49bo22bobo2b2o$31b3o3b3o3bo33bo
53b3o4b2o16b2o$31bo2b2o4bo36b2o54bo5bo17bo$32bobob5o4bo90b3o15bo2bob2o
$33bo10bobo89bo16bobob2obo$34b2ob2o5bobo107bobo$35bobo7bo109bo2b2o$35b
obo69b2o47b2ob3o$36bo70b2o53bo$43b2o35b2o74b2ob3o$42bobo35bobo73b2obo$
42b2o38bo$82b2o64b2o$148b2o$96b2o$70b2o3b2o20bo19b2o17b2o$70b2o3b2o20b
obo17bo18bo3b2o$98b2o15bobo20bo2bo$110bo4b2o20b3o$18bo53b2o35bobo24bo$
18b3o51b2o35bobo24b2o23b2o$21bo76b2o10bo50b2o$20b2o75bobo$74bo22bo$73b
obo20b2o$12b2o60bo5bo30b2o$12bo62b3obobo29bo34bo$9b2obo64bobo2bo29b3o
11b2o17bobo$9bo2b3o4b2o59b2o2bo29bo10bobo5b2o10bobo$10b2o3bo3b2o60bob
2o40bo7b2o11bo$12b4o34b2o26bo2bo42b2o17b3o$12bo15b2o20bo26bobobo61bo$
13b3o12bobo20b3o24bobo57bo$16bo13bo22bo25bo54b2obobo$11b5o14b2o52bo48b
obobobo$11bo70b3o45bo2bobobobob2o$13bo67bo48b4ob2o2bo2bo$12b2o67b2o51b
o4b2o$132bobo$132b2o5$71b2o$70bobo5b2o$70bo7b2o$42b2o25b2o$42b2o7b2o$
51bo31bo$16bo32bobo27b2obobo$3b2o9b3o32b2o27bobobobo$4bo8bo61bo2bobobo
bob2o$b3o3bo5b2o40bo19b4ob2o2bo2bo$o3b4o45b3o23bo4b2o$obo49bo24bobo$b
2ob2o24b2o20b2o23b2o$4b2o25bo$b2o22bo5bobo$bo22bobo5b2o$2bo22bo$b2o$
23b5o$22bo4bo27b2o$3b2o5b2o6b2obo2bo30b2o$2bobo4bo2bo6bobob2o$2bo6bobo
3b2o2bobo5bo$b2o7bo4bobobobo4bobo$6b2o9bobob2o2bo2bo$7bo8b2o2bo5b2o$4b
3o11bobo$4bo11b2obo42b2o$17bo44b2o$17bobo$18b2o3$46b2o$46b2o$29b2o21b
2o3b2o$25b2o2b2o22bo3bo$24bobo23b3o5b3o$24bo25bo9bo$23b2o!

-Matthias Merzenich

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 20th, 2025, 1:08 pm

I think the nominee table is essentially complete, but I'm sure that some of the descriptions or discoverer lists could be improved. Feel free to edit that wiki page or comment here with proposed improvements. Also consider this the last opportunity to nominate a pattern.

-Matthias Merzenich

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 28th, 2025, 6:09 pm

I edited the link for the 2-engine Cordership seeds entry (#13) to Hippo.69's earlier post and made some very minor modifications to some of the pattern descriptions. Since nobody else has commented on the nominee list, I imagine that means everyone is satisfied with it. In the interest of getting this going quickly, I think we should use the same rules as last year for voting, with voting ending at the end of December. If anyone has any corrections, objections, or other comments, please post here as soon as you can. I would like to start the voting tomorrow.

Below is a forum-compatible version of the nominee list. Let me know if anything needs to be changed.

#01 Triple pseudo still life synthesis: The first known synthesis of the smallest triple pseudo still life. (by Dmitry Maitak)
#02 New gun periods: Five new gun periods were discovered in 2024 (15, 16, 35, 47, and 53), tying the record for a single calendar year since 1996. (by Period1GliderGun, Matthias Merzenich, Entity Valkyrie, iNoMed, hotcrystal0, et al.)
#03 New stable G-to-X: A stable glider-to-chaos converter that can be used to build a variety of reflectors, splitters, and converters. (by Anivec, Mitchell Riley)
#04 77P6H1V1 synthesis and gun: The first known synthesis (by Goldtiger997) and gun (by Entity Valkyrie) for a c/6 diagonal spaceship. (by Goldtiger997, Entity Valkyrie)
#05 Goban: The second known period-19 oscillator. (by Period1GliderGun)
#06 Independent p16 and p26 reflectors: The first independent glider reflectors of periods 16 and 26. Before these discoveries, only dependent reflectors were known at these periods. (by James Pascua, Period1GliderGun)
#07 Faster 2c/3 signal injectors and receivers: Fast and compact 2c/3 signal injectors by various users that work at repeat times as low as 61-ticks, along with a 708-tick signal receiver by Entity Valkyrie using a bait constellation suggested by Simon Ekström. These set the records for fastest 2c/3 signal injectors and receivers. (by Entity Valkyrie, James Pascua, Adam P. Goucher, Simon Ekström, Tanner Jacobi, Evin, vilc, Caleb R. Hilton)
#08 New c/4 diagonal technology: A significant expansion of c/4 diagonal technology, including new puffer engines and rakes, small object cleaners, and complex constructions. (by Keith Amling, David Bell, Matthias Merzenich, et al.)
#09 22-bit still life synthesis project: Explicit glider syntheses for every 22-bit strict still life. (by Dmitry Maitak, Alex Greason, vilc, Goldtiger997, confocaloid, Carson Cheng, et al.)
#10 Motor grader: A c/7 orthogonal spaceship with a strong front spark capable of clearing debris and supporting pushalongs. (by Caleb R. Hilton and Park Shinhwan)
#11 p10 drifter-based pipsquirter: A new p10 sparker formed from previously known components and a new fast signal-to-spark converter found by Adam P. Goucher. (by iNoMed, Adam P. Goucher, Dongook Lee, and Matthias Merzenich)
#12 Compact loafer bitmap printer: A highly optimized bitmap printer using a nearly edge-shooting loafer construction to achieve a very compact loafer spacing. (by Entity Valkyrie, Otismo, and Tawal)
#13 Smaller 2-engine Cordership seeds: A reduction in the number of small objects needed in a 1-glider seed for 2-engine Cordership from 15 to 11 or 12, depending on the orientation. (by Dave Greene, vilc, and Hippo.69)
#14 New wickstretchers and greystretchers: Two different c/2 coiled snake stretchers, and c/2 greystretchers bounded by coiled snakes and tables. (by Keith Amling)
#15 Small 135-degree LWSS-to-glider converter: A small 135-degree G-to-LWSS converter with a repeat time of 40 ticks, which can be overclocked at 38 ticks. (by whatislife)
#16 One-glider digital clock seed: A one-glider seed for a digital clock. (by Hippo.69)
#17 Compact pseudo p16 LWSS gun: A record-setting compact pseudo-period p16 LWSS gun constructed by Entity Valkyrie, based on a LWSS insertion mechanism by vilc. (by Entity Valkyrie and vilc)
#18 Fast synthesizable spaceship guns: Record low period guns for loafer, crab, and B29 constructed by Entity Valkyrie using improved glider syntheses by various users. (by Entity Valkyrie, Louis-François Handfield, Evin, iNoMed, Goldtiger997, Tanner Jacobi, and DroneBetter)
#19 New c/3 orthogonal technology: Several new rake and puffer periods (including the lowest possible, p9), as well as some perfect-clearance blinker and block eaters. (by Keith Amling, Dmitry Maitak, Evin, David Bell, and Matthias Merzenich)
#20 New 2c/7 tagalongs: Several new 2c/7 tagalongs that can be combined with known components in various ways (by Caleb R. Hilton, Matthias Merzenich, and Dmitry Maitak)
#21 Rectangular c/2 against-the-grain greyship: A fully rectangular against-the-grain greyship. Such a ship is very difficult to construct, as it requires several period-8 components. (by Keith Amling)
#22 Adjustable period (2,1)c/6 rake: A series of (2,1)c/6 rakes with periods 48+24n. (by vilc)
#23 RCT15 optimization project: A reverse caber tosser-based spacefiller synthesis that reduces the tape length by roughly a factor of three from the first working RCT15 pattern (which synthesized Alan Hensel's decimal counter). (by Hippo.69)
#24 Fast stable F171: A long-desired variant of Brice Due's F171 conduit that uses a new catalyst to suppress an unwanted blinker, reducing the repeat time from 227 ticks to 120 ticks and allowing it to be followed by dependent conduits. (by Evin and Simon Ekström)
#25 Extensible "clock" syntheses: Syntheses of a series of muttering moats, of which clock and cha-cha are the smallest examples. (by vilc)
#26 New spartan technology: Various new spartan converters and conduits found largely using the new programs LightCone and Silk. Highlights include a compact Herschel splitter and a fast G-to-W-to-H. (by Mitchell Riley, Adam P. Goucher, Lucy D'Agostino, Anivec, Evin, and Dave Greene)
#27 Much smaller (34,7)c/156 spaceship: A new (34,7)c/156 Herschel-climber-based spaceship design by FWKnightship that is 6000 times smaller by bounding box and 38 times smaller by population than Luka Okanishi's original. (by FWKnightship)
#28 Direct H-to-MWSS: A compact, direct Herschel-to-MWSS converter by Anivec with faster, smaller variants by Period1GliderGun, and Lucy D'Agostino. (by Anivec, Period1GliderGun, and Lucy D'Agostino)
#29 Biblock wire racetrack: A racetrack oscillator by confocaloid showcasing a diagonal 5c/26 biblock wire by Keith Amling. (by confocaloid and Keith Amling)
#30 Stably supported traffic jam: Stable supports for a traffic jam wire corner which allow all possible periods for wire-based traffic jam oscillators (i.e., all periods of the form 100+2n). (by iNoMed)
#31 Smaller sawtooth-based diehard: A new sawtooth-based diehard with a record bounding box of 47x47, reduced from 53x53. (by b3s23love and Tim Coe)
#32 Reduced prime-period guns: Substantial reductions to the maximum and average sizes of guns with four-digit prime periods. (by Vort, confocaloid, Louis-François Handfield, et al.)
#33 The 323, a 32-bit computer: A 32-bit computer implemented in Conway's Game of Life along with an assembler script, example programs, extensive HTML documentation and an MP4 introductory video. (by blah)
#34 Smaller unique father solution: A still life solution to the unique father problem with a record small population of 184 cells and a record small self-forcing patch with 271 specified cells. (by 400spartans)
#35 651-tick highway robber: A record fast-recovering highway robber, reducing the repeat time from 742 ticks to 651 ticks. (by Entity Valkyrie)
#36 Kermit synthesis: A glider synthesis for the 76-cell c/5 orthogonal spaceship Kermit, which constituted the first synthesis of a c/5 orthogonal spaceship since the Spider. (by Goldtiger997, vilc, et al.)
#37 New oscillator discoveries: An enormous collection of new oscillators. Highlights include the first p17 sparkers, a new p37 dependent reflector loop, record small oscillators of periods 118, 123, and 171, and long-boat-based middleweight sparkers supporting various engines. (by various users)

-Matthias Merzenich

WhiteHawk: Posts: 1376; Joined: July 10th, 2024, 5:34 pm

Re: Pattern of The Year 2024 Nominations

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Post by WhiteHawk » November 28th, 2025, 6:24 pm

Sokwe wrote: November 28th, 2025, 6:09 pm I edited the link for the 2-engine Cordership seeds entry (#13) to Hippo.69's earlier post and made some very minor modifications to some of the pattern descriptions. Since nobody else has commented on the nominee list, I imagine that means everyone is satisfied with it. In the interest of getting this going quickly, I think we should use the same rules as last year for voting, with voting ending at the end of December. If anyone has any corrections, objections, or other comments, please post here as soon as you can. I would like to start the voting tomorrow.

Below is a forum-compatible version of the nominee list. Let me know if anything needs to be changed.

#37 New oscillator discoveries: An enormous collection of new oscillators. (by various users)

Merely a suggestion, but I think "An enormous collection of new oscillators" might be made a little more descriptive by listing some of the most important ones.

Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 28th, 2025, 7:08 pm

WhiteHawk wrote: November 28th, 2025, 6:24 pm I think "An enormous collection of new oscillators" might be made a little more descriptive by listing some of the most important ones.

I think it would be fine to include a sentence saying "highlights include: <list of highlights>", but I'm not sure what the most important or interesting examples are. Some possibilities:

mutually stabilizing trivial oscillators of periods 15 and 20
large p17 that allows some sparkers to be created
new p37 dependent reflector loop
long boat-based sparkers
SKOPs for periods 118, 123, and 171.
p36 traffic jam with a strange p9 TL pusher
p96 R/B hassler that combines the functionality of two lower-period hasslers in a surprising way

Which of these or others in the collections would you suggest we mention?

-Matthias Merzenich

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 30th, 2025, 12:47 am

WhiteHawk wrote: November 28th, 2025, 6:24 pm I think "An enormous collection of new oscillators" might be made a little more descriptive by listing some of the most important ones.

I added a second sentence with some chosen highlights to that entry in the nominee list above. Like this post if you think that's sufficient. Comment if you think it needs any more changes.

-Matthias Merzenich

Goldtiger997: Posts: 808; Joined: June 21st, 2016, 8:00 am

Re: Pattern of The Year 2024 Nominations

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Post by Goldtiger997 » November 30th, 2025, 10:46 am

I suggest the wording of #36 be modified to remove "massive project". I don't think the Kermit synthesis required an unusual amount of work or collaboration for a spaceship synthesis. Perhaps the description could be changed to something along these lines:

"A glider synthesis for the 76-cell c/5 orthogonal spaceship Kermit, which constituted the first synthesis of a c/5 orthogonal spaceship since the Spider"

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 30th, 2025, 1:04 pm

Goldtiger997 wrote: November 30th, 2025, 10:46 am I suggest the wording of #36 be modified to remove "massive project". I don't think the Kermit synthesis required an unusual amount of work or collaboration for a spaceship synthesis. Perhaps the description could be changed to something along these lines:

"A glider synthesis for the 76-cell c/5 orthogonal spaceship Kermit, which constituted the first synthesis of a c/5 orthogonal spaceship since the Spider"

I've replaced the original wording with your suggested alternative.

I'm inclined to start the voting in the next few hours, rather than wait for more input on the list. If anyone has any comments, please post them as soon as possible.

-Matthias Merzenich

WhiteHawk: Posts: 1376; Joined: July 10th, 2024, 5:34 pm

Re: Pattern of The Year 2024 Nominations

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Post by WhiteHawk » November 30th, 2025, 6:25 pm

Sokwe wrote: November 28th, 2025, 7:08 pm

long boat-based sparkers

Long Boat - based "Middleweight Sparkers" (and several supported reactions)?

Might be a good idea to note the spark type

EDIT: All good here

Last edited by WhiteHawk on November 30th, 2025, 7:44 pm, edited 1 time in total.

Currently working to improve Life's guns and work on updating SKOPs and Isotropic rules most similar to B3/S23 to Life standards. Will get software to begin searches eventually.

Pseudastur albicollis

Sokwe: Moderator; Posts: 3376; Joined: July 9th, 2009, 2:44 pm

Re: Pattern of The Year 2024 Nominations

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Post by Sokwe » November 30th, 2025, 7:21 pm

WhiteHawk wrote: November 30th, 2025, 6:25 pm Long Boat - based "Middleweight Sparkers" (and several supported reactions)?

Might be a good idea to note the spark type

I added this as "long-boat-based middleweight sparkers supporting various engines". Is that satisfactory? If so, I'll start the voting thread.

-Matthias Merzenich

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Re: Pattern of The Year 2024 Nominations

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Post by dvgrn » December 31st, 2025, 6:00 pm

The end of the nominations thread seems like a decent place to put a copy of the vote-tallying script. This is "version 1.0", with the dependency on Golly removed. If you are running in Golly you could uncomment the "import golly as g" line and the last line, to get the results copied to the clipboard. (I'd have to re-introduce some kind of dependency, maybe to pyperclip, to get that functionality outside of Golly.)

Code: Select all

# This Python file uses the following encoding: utf-8
# vote-tally-v1.0.py
# Version 0.6:  update maximum number of stars to 5 at b3s23love's request
# Version 0.7:  account for changed format now that Nathaniel has updated to a new PHPBB version
# Version 0.8:  there can be any number of spaces (including zero)
#                     after the number and before the one, two, three, four or five asterisks.
# Version 0.9:  add MAX_STARS variable at top of script, bump back down to 3 for 2023
# Version 1.0:  remove dependency on Golly
MAX_STARS = 3

# import golly as g
votes = """
PASTE PAGES OF HTML HERE --
just a copy of "View Source" for however many pages of votes there are,
leaving out everything after '<div class="action-bar bar-bottom">' toward the end,
saved as an ANSI text file and then re-opened and re-copied.
On current Windows Chrome at least, here's some Unicode ugliness
hiding in the copied text, which causes parsing errors -- not sure why yet.
<div>#01 *<br />#02 **<br />#03 ***<br />
"""
# remove all quoted text before parsing
while votes.find("<blockquote")>0:
  bqstart = votes.find("<blockquote")
  bqend = votes.find("</blockquote>",bqstart)
  if bqend == -1:
    print("found unmatched blockquote\n"+votes[bqstart:bqstart+1000])
    break
  votes = votes[:bqstart]+votes[bqend+13:]

# look at every HTML substring that might be a line in a message
# increase the 'index' pointer after each find until no more ">.*<" are found
votelist, maxnum, index, d, totals = [], 0, 0, {}, {}
while votes.find(">",index)>-1:
  # print(str(index))
  linestart = votes.find(">", index)
  lineend = votes.find("<", linestart)
  if lineend==-1:
    index = len(votes)
  else:
    line = votes[linestart+1:lineend]+"[end]"
    line = line.replace("\n","")
    # print(line)
    index = lineend

    # test whether the latest line is a canonical vote line
    if line[0]=="#":
      numind = 1
      while line[numind].isdigit(): numind+=1
      numstr = line[1:numind]
      if numstr != "":
        # print(line + " :: " + numstr)
        num = int(numstr)
        while line[numind]==" ":
          numind+=1
        voteind = numind
        # print(line[voteind:voteind+10])
        count = 0
        while line[voteind]=="*":
          count+=1
          voteind+=1
        if count > 0 and count <= MAX_STARS:
          if num > maxnum: maxnum = num
          votelist += [[num, count]]

# build the output table from the collected votes in votelist
for i in range(maxnum):
  d[i+1] = str(i+101)[1:] + ", "
  totals[i+1] = 0
for item in votelist:
  d[item[0]] += str(item[1])+", "
  totals[item[0]] += item[1]
patterns = []

for i in range(maxnum):
  data = d[i+1]
  if data[-2:] == ", ": data = data[:-2] # remove trailing comma
  patterns+=[str(1000+totals[i+1])[1:] + ", #" + data]
sortpat = sorted(patterns, reverse=True)

s = "Total, Pattern #, Votes\n"
for item in sortpat: s+=item +"\n"

winner = sortpat[0]
wi = winner.find(",")
print("Winner is " + winner[wi+2:winner.find(",",wi+2)] + " with " + winner[:wi] + " stars.\n\n")
print(s)
# g.setclipstr(s)

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