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Caterpillar's little brother research

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

Re: Caterpillar's little brother research

Postby HartmutHolzwart » January 18th, 2014, 1:50 pm

This would be the best edge shooter LWSS construction I've seen:

x = 93, y = 127, rule = B3/S23
6$9bo$7bobo$8b2o60$86b2o$86b2o3$82b2o$82b2o7$88b2o$87bo2bo$88b2o15$69b
o$67bobo$68b2o16b2o$86b2o3$82b2o$82b2o7$88b2o$87bo2bo$88b2o!


This would need three glider pairs with quite some flexibility plus the initiating glider. Ther good thing is how far away the LWSS is produced. It might even be possible to use this reaction for difficult situations that could not be handled by the constructions used in the old caterpillar design!

Did I miss something even better?

Rgds,
Hartmut

P.S.: Is thre some edge shooting syntheses for an MWSS?
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Re: Caterpillar's little brother research

Postby codeholic » January 18th, 2014, 7:39 pm

HartmutHolzwart wrote:Did I miss something even better?

Definitely. I believe, we all missed something better yet, but who knows :)

Actually, the quality of a seed depends not so much on how clean it is, but rather on how many gliders you need to build it. If you're gonna use the caterpillar's original spine, you can use bidirectional synthesis, so probably a dirty seed, but consisting of two still lifes, or having a constellation of two still lifes, that can be constructed by a single glider pair, might need less gliders to build it and afterwards clean up the debris.

HartmutHolzwart wrote:P.S.: Is thre some edge shooting syntheses for an MWSS?

I haven't found any yet (except the one found accidentally and triggered by LWSS ;))
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Re: Caterpillar's little brother research

Postby HartmutHolzwart » January 19th, 2014, 6:05 am

Which one? The last one was edge shooting?

We need something with a very quick last step to be able to construct your new x6 helix.

Btw.: Could there be a cheaper helix c17/45 helix with x8 or more?

I wonder whether the fan out device gets much more complicated with the factor increasing.

Rgds,
Hartmut
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Re: Caterpillar's little brother research

Postby codeholic » January 19th, 2014, 6:11 pm

HartmutHolzwart wrote:Which one? The last one was edge shooting?

I'm sorry, I haven't understood what you're referring to.

HartmutHolzwart wrote:We need something with a very quick last step to be able to construct your new x6 helix.

I'm currently running a search for 3-piece *WSS seeds, but made only of blocks, hives or blinkers (doing a 3-piece search made of all spartan objects would be too expensive). Hopefully it will find new quick LWSS seeds. And I need one without a spark in order to synthesise one particularly useful fanout device for the 31c/240 spaceship.

HartmutHolzwart wrote:Btw.: Could there be a cheaper helix c17/45 helix with x8 or more?

You may find a helix that is not significantly cheaper, but then you will spend much more on fanout devices.

HartmutHolzwart wrote:I wonder whether the fan out device gets much more complicated with the factor increasing.

You can use the same fanout devices, but you'll need more of them. Here is a good explanation: http://www.gabrielnivasch.org/fun/life/ ... ut-devices
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Re: Caterpillar's little brother research

Postby HartmutHolzwart » January 19th, 2014, 6:43 pm

What I mean:

The up ships used for the fan out device are not very dense and comparably easy to construct. The fan out itself just needs a few more rows of gliders to produce some more blinkers. Maybe you would need to increase the space between spine and helix to get more room for additional columns of up ships, but nothing really serious. No new construction recipes.

The helices you found in contrast are pretty dense ánd require sophisticated engeneering to be synthesized at all.

The key to getting a smaller caterpillar lies in finding a construction that allows for a dense spacing of pies without too many adjuster pies.

Rgds,
Hartmut
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Re: Caterpillar's little brother research

Postby dvgrn » January 24th, 2014, 2:25 pm

codeholic wrote:I'm currently running a search for 3-piece *WSS seeds, but made only of blocks, hives or blinkers (doing a 3-piece search made of all spartan objects would be too expensive).

I'm still hoping that, once we can run an iterative depth-first search on slow-salvo recipes, we'll start running into *WSS recipes around five or six slow gliders, and *WSS edge-shooters around seven or eight. Seems as if those are likely to be very much cheaper, either in the context of a 31c/240 spaceship or in Caterpillar's little brother, than constructing three separate objects and then triggering the resulting seed.

-- But that's only if the slow-salvo versions can actually be found. Apologies for all this hand-waving in the meantime.
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Re: Caterpillar's little brother research

Postby HartmutHolzwart » January 28th, 2014, 6:57 am

Just for your reference: Two pi trails can produce a downward LWSS. Unfortunately, this cannot replace the downward MWSS stream used in the original caterpillar design.

x = 60, y = 105, rule = B3/S23
2$40b3o16$9b3o29bo$41bo$41bo3$40b3o$9b3o27bo3bo$9b3o27b2ob2o$9b3o$7bo
5bo$5b3o5b3o16bo17bo$b3o6bo6b3o10b3o3b2o7b2o3b3o$bo7b3o7bo9bo4bo2bo7bo
2bo4bo$b3o2bob2ob2obo2b3o9bo3bo15bo3bo$6b4ob4o14bo5b4o5b4o5bo$4b2ob2o
3b2ob2o13b2o4b2o7b2o4b2o$32b3o13b3o$5b2o7b2o17b2o13b2o$6b2o5b2o19bo3bo
5bo3bo$7bo5bo$35bo2bo5bo2bo$36bobo5bobo2$9b3o29bo$41bo$41bo14$10bo19bo
bo$10bo22bo$10bo22bo6b3o$30bo2bo$31b3o14$9b3o22$32b2o$32b3o$31bob2o$
31b3o$32bo!


It would be considerably cheaper to generate the MWSS stream directly through pi trails...
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Re: Caterpillar's little brother research

Postby HartmutHolzwart » January 29th, 2014, 5:55 pm

Here are the four true forward rakes that were contained in the gencols output:

x = 350, y = 240, rule = B3/S23
9$143bo58bo$143bo58bo$55bo57bo29bo58bo30bo80bo$55bo57bo119bo80bo$25bo
29bo57bo119bo80bo$25bo$25bo12$142b3o56b3o2$54b3o55b3o117b3o78b3o2$24b
3o255bo$282bo$282bo10$143bo58bo$143bo58bo$55bo57bo29bo58bo30bo80bo$55b
o57bo119bo80bo$25bo29bo57bo119bo80bo$25bo$25bo255b3o12$142b3o56b3o2$
54b3o55b3o117b3o78b3o2$24b3o255bo$282bo$282bo10$143bo58bo$143bo58bo$
55bo57bo29bo58bo30bo80bo$55bo57bo119bo80bo$25bo29bo57bo119bo80bo$25bo$
25bo255b3o7$55bo$54b3o$53b5o$52b2o3b2o$51b2o5b2o$52b2o3b2o83b3o56b3o$
53bo3bo$112b3o117b3o78b3o2$24b3o116bo58bo79bo$141b2ob2o55bobo78bo$141b
2ob2o55bobo29bo48bo31bo$55bo145bobo27b2ob2o76b2ob2o$25bo23bobo3bo3bobo
169b2ob2o76b2ob2o$23b2ob2o21b2o4bo4b2o77bo7bo134bo$23b2ob2o22bo9bo72b
3o2bo9bo2b3o39b2o2b3o5b3o2b2o69bobo$45b3o15b3o66b2o3bobo7bobo3b2o37bob
o2b2o7b2o2bobo16bo7bo42b2ob2o25bo7bo$44bob2o15b2obo45b3o16b2ob2o3bo7bo
3b2ob2o35b2o6bo5bo6b2o9b3o2bo9bo2b3o60b3o2bo9bo2b3o$21bo7bo15b3o15b3o
45bo3bo16b2ob6o5b6ob2o37b2ob3o9b3ob2o9b2o3bobo7bobo3b2o58b2o3bobo7bobo
3b2o$15b3o2bo9bo2b3o9bobo15bobo44bo5bo16bo2bo13bo2bo39b3o2bo7bo2b3o9b
2ob2o3bo7bo3b2ob2o32bo7bo15b2ob2o3bo7bo3b2ob2o$14b2o3bobo7bobo3b2o4bo
4b2o15b2o4bo39bo3bo3bo16b2o15b2o41bo3b2o5b2o3bo11b2ob6o5b6ob2o28b2o2bo
bo5bobo2b2o11b2ob6o5b6ob2o$13b2ob2o3bo7bo3b2ob2o3b2o3bo4bo7bo4bo3b2o
39bo7bo17bo4bo5bo4bo43b2o2b2o3b2o2b2o13bo2bo13bo2bo27b2obo2bo9bo2bob2o
10bo2bo13bo2bo$14b2ob6o5b6ob2o3b3o7b2o7b2o7b3o38bobo3bobo17bo3bo7bo3bo
43bo2b2obobob2o2bo14b2o15b2o28bo2b2o13b2o2bo11b2o15b2o$15bo2bo13bo2bo
4b2o2bo4bobo7bobo4bo2b2o39b2o3b2o20bo3bo3bo3bo46bo2b2o3b2o2bo16bo4bo5b
o4bo29bo3b4o7b4o3bo12bo4bo5bo4bo$16b2o15b2o5b5o5bo9bo5b5o67b3o5b3o48b
3o5b3o17bo3bo7bo3bo30bo5b2o5b2o5bo13bo3bo7bo3bo$17bo4bo5bo4bo7bob2o21b
2obo68b2o7b2o78bo3bo3bo3bo33bo2b3obo3bob3o2bo16bo3bo3bo3bo$17bo3bo7bo
3bo194b3o5b3o35b4o9b4o18b3o5b3o$19bo3bo3bo3bo196b2o7b2o36bob2o2bobo2b
2obo19b2o7b2o$20b3o5b3o111b3o56b3o72bo11bo$20b2o7b2o246b4o3b4o$54b3o
50bo4b3o4bo112b3o43bo7bo26b3o$107bobo7bobo$24b3o77bo2b2o9b2o162bo$103b
obo176bo$102bo3bo175bo$102bo3bo$103bo2bo$36bo62b2o2bobo$37bo66b2o2b2o$
35b3o63bo7b2o$97bo4bo4bobo$103bo4bo$98b2o2bo$220bo$143bo58bo18bo72b3o$
143bo58bo16b3o74bo$55bo57bo29bo58bo30bo60b2o9bo8bo$55bo57bo119bo61b2o
9b2o6bo$25bo29bo57bo119bo58bo2b2o8b2o7bo$25bo265bobob2o$25bo255b3o6b4o
2bo$291b5o$295bo$294bo$294bo4$129bo$130b2o$129b2o2$142b3o56b3o2$54b3o
55b3o117b3o78b3o2$24b3o19bobo233bo$47b2o233bo$47bo234bo4$230bobo$231b
2o$231bo85bo$318bo$316b3o2$143bo58bo$143bo58bo$55bo57bo29bo58bo30bo80b
o$55bo57bo119bo80bo$25bo29bo57bo119bo80bo$25bo$25bo255b3o2$141bo$142bo
$140b3o6$59bo$57bobo$58b2o82b3o56b3o2$54b3o55b3o117b3o78b3o2$24b3o216b
o38bo$241bobo38bo$242b2o38bo$327bobo$328b2o$328bo7$143bo58bo$143bo58bo
$55bo57bo29bo58bo30bo80bo$55bo57bo37bobo79bo80bo$25bo29bo57bo38b2o79bo
80bo$25bo126bo$25bo4$69bo$70b2o$69b2o4$253bo$254b2o$253b2o$340bo$338bo
bo$339b2o!
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Re: Caterpillar's little brother research

Postby codeholic » January 29th, 2014, 6:10 pm

HartmutHolzwart wrote:Here are the four true forward rakes that were contained in the gencols output:

Please don't shock me. These are backward rakes.
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Re: Caterpillar's little brother research

Postby HartmutHolzwart » January 29th, 2014, 7:12 pm

sorry for the typo! I meant backward rakes...
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Re: Caterpillar's little brother research

Postby dvgrn » June 12th, 2014, 9:42 am

This HWSS seed from oblique's sscs search program looks like it should be a significant improvement on the original Caterpillar's HWSS recipe:

EDIT: Updated to show more HWSS constructions. There's only one HWSS in the helix that can't be built with this seed -- unfortunately, the location with red gliders is one cell too close to the next HWSS. Should be possible to dig up a more expensive seed for that one HWSS:

x = 106, y = 1437, rule = LifeHistory
3.A$.A.A$2.2A4$.A$2.A$3A$10.2D$10.2D2.2D$14.2D5$10.A$11.2A$5.3A2.2A$
7.A$6.A3$16.3D$8.A$8.2A$7.A.A32$30.3A$29.A2.A$32.A$28.A3.A$32.A$29.A.
A8.3A$39.A2.A5.A5.3A$42.A4.3A3.A2.A5.A5.3A$34.3A5.A4.A.2A5.A4.3A3.A2.
A5.A$33.A2.A2.A.A6.3A5.A4.A.2A5.A4.3A5.3A$36.A11.3A2.A.A6.3A5.A4.A.2A
3.A2.A5.A$22.3D11.A11.3A11.3A2.A.A6.3A6.A4.3A$22.D2.D7.A.A12.2A12.3A
11.3A6.A4.A.2A$22.D39.2A12.3A3.A.A6.3A$22.D3.D49.2A13.3A$22.D3.D64.3A
$22.D68.2A$23.D.D4$102.3A$87.A14.A2.A$73.A12.3A4.3A6.A$59.A12.3A4.3A
3.2A.A3.A2.A6.A$45.A12.3A4.3A3.2A.A3.A2.A3.3A7.A7.A.A$44.3A4.3A3.2A.A
3.A2.A3.3A7.A4.2A3.A3.A$37.3A3.2A.A3.A2.A3.3A7.A4.2A3.A3.A9.A3.A$36.A
2.A3.3A7.A4.2A3.A3.A9.A3.A13.A$39.A4.2A3.A3.A9.A3.A13.A10.A.A$35.A3.A
9.A3.A13.A10.A.A$35.A3.A13.A10.A.A$39.A10.A.A$30.3A3.A.A$30.A2.A$30.A
$30.A3.A$30.A$31.A.A38$17.A$18.A$16.3A5$16.A$14.A.A$15.2A$25.2D$25.2D
2.2D$29.2D5$24.A.A$25.2A$20.2A3.A$19.A.A$21.A3$31.3D2$22.2A$23.2A$22.
A4$102.3A$87.A13.A2.A$73.A12.3A4.3A8.A$59.A12.3A4.3A4.A.2A3.A2.A7.A$
45.A12.3A4.3A4.A.2A3.A2.A4.3A3.A7.A.A$44.3A4.3A4.A.2A3.A2.A4.3A3.A7.
2A4.A3.A$37.3A4.A.2A3.A2.A4.3A3.A7.2A4.A3.A9.A3.A$37.A2.A4.3A3.A7.2A
4.A3.A9.A3.A9.A$37.A7.2A4.A3.A9.A3.A9.A14.A.A$37.A3.A9.A3.A9.A14.A.A$
37.A3.A9.A14.A.A$37.A14.A.A$38.A.A5$40.3A$39.A2.A5.A5.3A$42.A4.3A3.A
2.A5.A5.3A$42.A4.A.2A5.A4.3A3.A2.A5.A$39.A.A6.3A5.A4.A.2A5.A4.3A5.3A$
48.3A2.A.A6.3A5.A4.A.2A3.A2.A5.A$48.3A11.3A2.A.A6.3A6.A4.3A$48.2A12.
3A11.3A6.A4.A.2A$62.2A12.3A3.A.A6.3A$76.2A13.3A$91.3A$91.2A5$102.3A$
87.A14.A2.A$73.A12.3A4.3A6.A$59.A12.3A4.3A3.2A.A3.A2.A6.A$45.A12.3A4.
3A3.2A.A3.A2.A3.3A7.A7.A.A$44.3A4.3A3.2A.A3.A2.A3.3A7.A4.2A3.A3.A$37.
3D3.2A.A3.A2.A3.3A7.A4.2A3.A3.A9.A3.A$36.D2.D3.3A7.A4.2A3.A3.A9.A3.A
13.A$39.D4.2A3.A3.A9.A3.A13.A10.A.A$35.D3.D9.A3.A13.A10.A.A$35.D3.D
13.A10.A.A$39.D10.A.A$36.D.D6$48.A5.3A$47.3A4.A2.A4.A5.3A$46.2A.A4.A
6.3A4.A2.A4.A$46.3A5.A5.2A.A4.A6.3A5.3A$46.3A6.A.A2.3A5.A5.2A.A5.A2.A
4.A$46.3A11.3A6.A.A2.3A6.A6.3A$47.2A11.3A11.3A6.A5.2A.A$61.2A11.3A7.A
.A2.3A$75.2A12.3A$89.3A$90.2A5$102.3A$87.A13.A2.A$73.A12.3A4.3A8.A$
59.A12.3A4.3A4.A.2A3.A2.A7.A$45.A12.3A4.3A4.A.2A3.A2.A4.3A3.A7.A.A$
44.3A4.3A4.A.2A3.A2.A4.3A3.A7.2A4.A3.A$44.A.2A3.A2.A4.3A3.A7.2A4.A3.A
9.A3.A$45.3A3.A7.2A4.A3.A9.A3.A9.A$45.2A4.A3.A9.A3.A9.A14.A.A$51.A3.A
9.A14.A.A$51.A14.A.A$52.A.A7$48.A5.3A$47.3A3.A2.A5.A5.3A$47.A.2A5.A4.
3A3.A2.A5.A$48.3A5.A4.A.2A5.A4.3A5.3A$48.3A2.A.A6.3A5.A4.A.2A3.A2.A5.
A$48.3A11.3A2.A.A6.3A6.A4.3A$48.2A12.3A11.3A6.A4.A.2A$62.2A12.3A3.A.A
6.3A$76.2A13.3A$91.3A$91.2A39$27.D$28.2D$27.2D5$25.D.D$26.2D$26.D8.2D
$35.2D2.2D$39.2D5$36.D$31.D5.D64.3A$31.2D2.3D49.A13.A2.A$30.D.D40.A
12.3A4.3A8.A$59.A12.3A4.3A4.A.2A3.A2.A7.A$58.3A4.3A4.A.2A3.A2.A4.3A3.
A7.A.A$51.3A4.A.2A3.A2.A4.3A3.A7.2A4.A3.A$41.3D7.A2.A4.3A3.A7.2A4.A3.
A9.A3.A$33.2D16.A7.2A4.A3.A9.A3.A9.A$32.D.D16.A3.A9.A3.A9.A14.A.A$34.
D16.A3.A9.A14.A.A$51.A14.A.A$52.A.A7$48.A5.3A$47.3A3.A2.A5.A5.3A$47.A
.2A5.A4.3A3.A2.A5.A$48.3A5.A4.A.2A5.A4.3A5.3A$48.3A2.A.A6.3A5.A4.A.2A
3.A2.A5.A$48.3A11.3A2.A.A6.3A6.A4.3A$48.2A12.3A11.3A6.A4.A.2A$62.2A
12.3A3.A.A6.3A$76.2A13.3A$91.3A$91.2A5$102.3A$87.A14.A2.A$73.A12.3A4.
3A6.A$59.A12.3A4.3A3.2A.A3.A2.A6.A$58.3A4.3A3.2A.A3.A2.A3.3A7.A7.A.A$
51.3A3.2A.A3.A2.A3.3A7.A4.2A3.A3.A$50.A2.A3.3A7.A4.2A3.A3.A9.A3.A$53.
A4.2A3.A3.A9.A3.A13.A$49.A3.A9.A3.A13.A10.A.A$49.A3.A13.A10.A.A$53.A
10.A.A$50.A.A7$48.D5.3A$47.3D4.A2.A4.A5.3A$46.2D.D4.A6.3A4.A2.A4.A$
46.3D5.A5.2A.A4.A6.3A5.3A$46.3D6.A.A2.3A5.A5.2A.A5.A2.A4.A$46.3D11.3A
6.A.A2.3A6.A6.3A$47.2D11.3A11.3A6.A5.2A.A$61.2A11.3A7.A.A2.3A$75.2A
12.3A$89.3A$90.2A5$102.3A$87.A13.A2.A$73.A12.3A4.3A8.A$59.A12.3A4.3A
4.A.2A3.A2.A7.A$58.3A4.3A4.A.2A3.A2.A4.3A3.A7.A.A$51.3A4.A.2A3.A2.A4.
3A3.A7.2A4.A3.A$51.A2.A4.3A3.A7.2A4.A3.A9.A3.A$51.A7.2A4.A3.A9.A3.A9.
A$51.A3.A9.A3.A9.A14.A.A$51.A3.A9.A14.A.A$51.A14.A.A$52.A.A7$54.3A$
53.A2.A5.A5.3A$56.A4.3A3.A2.A5.A$56.A4.A.2A5.A4.3A5.3A$53.A.A6.3A5.A
4.A.2A3.A2.A5.A$62.3A2.A.A6.3A6.A4.3A$62.3A11.3A6.A4.A.2A$62.2A12.3A
3.A.A6.3A$76.2A13.3A$91.3A$91.2A23$31.A$32.A$30.3A5$30.A$28.A.A$29.2A
$39.2D$39.2D2.2D$43.2D5$38.A.A$39.2A$34.2A3.A$33.A.A$35.A3$45.3D2$36.
2A$37.2A$36.A5$102.3A$87.A13.A2.A$73.A12.3A4.3A8.A$59.A12.3A4.3A4.A.
2A3.A2.A7.A$58.3A4.3A4.A.2A3.A2.A4.3A3.A7.A.A$51.3A4.A.2A3.A2.A4.3A3.
A7.2A4.A3.A$51.A2.A4.3A3.A7.2A4.A3.A9.A3.A$51.A7.2A4.A3.A9.A3.A9.A$
51.A3.A9.A3.A9.A14.A.A$51.A3.A9.A14.A.A$51.A14.A.A$52.A.A7$54.3A$53.A
2.A5.A5.3A$56.A4.3A3.A2.A5.A$56.A4.A.2A5.A4.3A5.3A$53.A.A6.3A5.A4.A.
2A3.A2.A5.A$62.3A2.A.A6.3A6.A4.3A$62.3A11.3A6.A4.A.2A$62.2A12.3A3.A.A
6.3A$76.2A13.3A$91.3A$91.2A5$102.3A$87.A14.A2.A$73.A12.3A4.3A6.A$59.A
12.3A4.3A3.2A.A3.A2.A6.A$58.3A4.3A3.2A.A3.A2.A3.3A7.A7.A.A$51.3D3.2A.
A3.A2.A3.3A7.A4.2A3.A3.A$50.D2.D3.3A7.A4.2A3.A3.A9.A3.A$53.D4.2A3.A3.
A9.A3.A13.A$49.D3.D9.A3.A13.A10.A.A$49.D3.D13.A10.A.A$53.D10.A.A$50.D
.D7$54.3A$54.A2.A4.A5.3A$54.A6.3A4.A2.A4.A$54.A5.2A.A4.A6.3A5.3A$55.A
.A2.3A5.A5.2A.A5.A2.A4.A$60.3A6.A.A2.3A6.A6.3A$60.3A11.3A6.A5.2A.A$
61.2A11.3A7.A.A2.3A$75.2A12.3A$89.3A$90.2A5$102.3A$87.A13.A2.A$73.A
12.3A4.3A8.A$59.A12.3A4.3A4.A.2A3.A2.A7.A$58.3A4.3A4.A.2A3.A2.A4.3A3.
A7.A.A$58.A.2A3.A2.A4.3A3.A7.2A4.A3.A$59.3A3.A7.2A4.A3.A9.A3.A$59.2A
4.A3.A9.A3.A9.A$65.A3.A9.A14.A.A$65.A14.A.A$66.A.A8$54.3A$53.A2.A5.A
5.3A$56.A4.3A3.A2.A5.A$56.A4.A.2A5.A4.3A5.3A$53.A.A6.3A5.A4.A.2A3.A2.
A5.A$62.3A2.A.A6.3A6.A4.3A$62.3A11.3A6.A4.A.2A$62.2A12.3A3.A.A6.3A$
76.2A13.3A$91.3A$91.2A40$41.A$42.2A$41.2A5$39.A.A$40.2A$40.A8.2D$49.
2D2.2D$53.2D5$50.A51.3A$45.A5.A35.A13.A2.A$45.2A2.3A21.A12.3A4.3A8.A$
44.A.A25.3A4.3A4.A.2A3.A2.A7.A$65.3A4.A.2A3.A2.A4.3A3.A7.A.A$65.A2.A
4.3A3.A7.2A4.A3.A$65.A7.2A4.A3.A9.A3.A$55.3D7.A3.A9.A3.A9.A$47.2A16.A
3.A9.A14.A.A$46.A.A16.A14.A.A$48.A17.A.A9$62.A5.3A$61.3A3.A2.A5.A$61.
A.2A5.A4.3A5.3A$62.3A5.A4.A.2A3.A2.A5.A$62.3A2.A.A6.3A6.A4.3A$62.3A
11.3A6.A4.A.2A$62.2A12.3A3.A.A6.3A$76.2A13.3A$91.3A$91.2A5$102.3A$87.
A14.A2.A$73.A12.3A4.3A6.A$72.3A4.3A3.2A.A3.A2.A6.A$65.3A3.2A.A3.A2.A
3.3A7.A7.A.A$64.A2.A3.3A7.A4.2A3.A3.A$67.A4.2A3.A3.A9.A3.A$63.A3.A9.A
3.A13.A$63.A3.A13.A10.A.A$67.A10.A.A$64.A.A9$62.D5.3A$61.3D4.A2.A4.A$
60.2D.D4.A6.3A5.3A$60.3D5.A5.2A.A5.A2.A4.A$60.3D6.A.A2.3A6.A6.3A$60.
3D11.3A6.A5.2A.A$61.2D11.3A7.A.A2.3A$75.2A12.3A$89.3A$90.2A5$102.3A$
87.A13.A2.A$73.A12.3A4.3A8.A$72.3A4.3A4.A.2A3.A2.A7.A$65.3A4.A.2A3.A
2.A4.3A3.A7.A.A$65.A2.A4.3A3.A7.2A4.A3.A$65.A7.2A4.A3.A9.A3.A$65.A3.A
9.A3.A9.A$65.A3.A9.A14.A.A$65.A14.A.A$66.A.A9$68.3A$67.A2.A5.A$70.A4.
3A5.3A$70.A4.A.2A3.A2.A5.A$67.A.A6.3A6.A4.3A$76.3A6.A4.A.2A$76.3A3.A.
A6.3A$76.2A13.3A$91.3A$91.2A22$45.A$46.A$44.3A5$44.A$42.A.A$43.2A$53.
2D$53.2D2.2D$57.2D5$52.A.A$53.2A$48.2A3.A$47.A.A$49.A3$59.3D2$50.2A$
51.2A$50.A6$102.3A$87.A13.A2.A$73.A12.3A4.3A8.A$72.3A4.3A4.A.2A3.A2.A
7.A$65.3A4.A.2A3.A2.A4.3A3.A7.A.A$65.A2.A4.3A3.A7.2A4.A3.A$65.A7.2A4.
A3.A9.A3.A$65.A3.A9.A3.A9.A$65.A3.A9.A14.A.A$65.A14.A.A$66.A.A9$68.3A
$67.A2.A5.A$70.A4.3A5.3A$70.A4.A.2A3.A2.A5.A$67.A.A6.3A6.A4.3A$76.3A
6.A4.A.2A$76.3A3.A.A6.3A$76.2A13.3A$91.3A$91.2A5$102.3A$87.A14.A2.A$
73.A12.3A4.3A6.A$72.3A4.3A3.2A.A3.A2.A6.A$65.3D3.2A.A3.A2.A3.3A7.A7.A
.A$64.D2.D3.3A7.A4.2A3.A3.A$67.D4.2A3.A3.A9.A3.A$63.D3.D9.A3.A13.A$
63.D3.D13.A10.A.A$67.D10.A.A$64.D.D9$68.3A$68.A2.A4.A$68.A6.3A5.3A$
68.A5.2A.A5.A2.A4.A$69.A.A2.3A6.A6.3A$74.3A6.A5.2A.A$74.3A7.A.A2.3A$
75.2A12.3A$89.3A$90.2A5$102.3A$87.A13.A2.A$73.A12.3A4.3A8.A$72.3A4.3A
4.A.2A3.A2.A7.A$72.A.2A3.A2.A4.3A3.A7.A.A$73.3A3.A7.2A4.A3.A$73.2A4.A
3.A9.A3.A$79.A3.A9.A$79.A14.A.A$80.A.A10$68.3A$67.A2.A5.A$70.A4.3A5.
3A$70.A4.A.2A3.A2.A5.A$67.A.A6.3A6.A4.3A$76.3A6.A4.A.2A$76.3A3.A.A6.
3A$76.2A13.3A$91.3A$91.2A41$55.A$56.2A$55.2A5$53.A.A$54.2A$54.A8.2D$
63.2D2.2D$67.2D4$102.3A$64.A22.A13.A2.A$59.A5.A20.3A4.3A8.A$59.2A2.3A
13.3A4.A.2A3.A2.A7.A$58.A.A18.A2.A4.3A3.A7.A.A$79.A7.2A4.A3.A$79.A3.A
9.A3.A$79.A3.A9.A$69.3D7.A14.A.A$61.2A17.A.A$60.A.A$62.A9$76.A$75.3A
5.3A$75.A.2A3.A2.A5.A$76.3A6.A4.3A$76.3A6.A4.A.2A$76.3A3.A.A6.3A$76.
2A13.3A$91.3A$91.2A5$102.3A$87.A14.A2.A$86.3A4.3A6.A$79.3A3.2A.A3.A2.
A6.A$78.A2.A3.3A7.A7.A.A$81.A4.2A3.A3.A$77.A3.A9.A3.A$77.A3.A13.A$81.
A10.A.A$78.A.A11$76.D$75.3D5.3A$74.2D.D5.A2.A4.A$74.3D6.A6.3A$74.3D6.
A5.2A.A$74.3D7.A.A2.3A$75.2D12.3A$89.3A$90.2A5$102.3A$87.A13.A2.A$86.
3A4.3A8.A$79.3A4.A.2A3.A2.A7.A$79.A2.A4.3A3.A7.A.A$79.A7.2A4.A3.A$79.
A3.A9.A3.A$79.A3.A9.A$79.A14.A.A$80.A.A12$83.3A$82.A2.A5.A$85.A4.3A$
85.A4.A.2A$82.A.A6.3A$91.3A$91.3A$91.2A21$59.A$60.A$58.3A5$58.A$56.A.
A$57.2A$67.2D$67.2D2.2D$71.2D5$66.A.A$67.2A$62.2A3.A$61.A.A$63.A3$73.
3D2$64.2A$65.2A$64.A7$102.3A$87.A13.A2.A$86.3A4.3A8.A$79.3A4.A.2A3.A
2.A7.A$79.A2.A4.3A3.A7.A.A$79.A7.2A4.A3.A$79.A3.A9.A3.A$79.A3.A9.A$
79.A14.A.A$80.A.A12$83.3A$82.A2.A5.A$85.A4.3A$85.A4.A.2A$82.A.A6.3A$
91.3A$91.3A$91.2A5$102.3A$87.A14.A2.A$86.3A4.3A6.A$79.3D3.2A.A3.A2.A
6.A$78.D2.D3.3A7.A7.A.A$81.D4.2A3.A3.A$77.D3.D9.A3.A$77.D3.D13.A$81.D
10.A.A$78.D.D12$83.3A$83.A2.A4.A$83.A6.3A$83.A5.2A.A$84.A.A2.3A$89.3A
$89.3A$90.2A5$102.3A$87.A13.A2.A$86.3A4.3A8.A$86.A.2A3.A2.A7.A$87.3A
3.A7.A.A$87.2A4.A3.A$93.A3.A$93.A$94.A.A13$83.3A$82.A2.A5.A$85.A4.3A$
85.A4.A.2A$82.A.A6.3A$91.3A$91.3A$91.2A43$70.A$71.2A$70.2A5$68.A.A$
69.2A$69.A8.2D$78.2D2.2D$82.2D2$102.3A$101.A2.A$93.3A8.A$79.A13.A2.A
7.A$74.A5.A12.A7.A.A$74.2A2.3A12.A3.A$73.A.A17.A3.A$93.A$94.A.A2$84.
3D$76.2A$75.A.A$77.A9$91.A$90.3A$90.A.2A$91.3A$91.3A$91.3A$91.2A5$
102.3A$102.A2.A$93.3A6.A$92.A2.A6.A$95.A7.A.A$91.A3.A$91.A3.A$95.A$
92.A.A14$91.D$90.3D$89.2D.D$89.3D$89.3D$89.3D$90.2D5$102.3A$101.A2.A$
93.3A8.A$93.A2.A7.A$93.A7.A.A$93.A3.A$93.A3.A$93.A$94.A.A40$73.A$74.A
$72.3A5$72.A$70.A.A$71.2A$81.2D$81.2D2.2D$85.2D5$80.A.A$81.2A$76.2A3.
A$75.A.A$77.A3$87.3D2$78.2A$79.2A$78.A8$102.3A$101.A2.A$93.3A8.A$93.A
2.A7.A$93.A7.A.A$93.A3.A$93.A3.A$93.A$94.A.A25$102.3A$102.A2.A$93.3D
6.A$92.D2.D6.A$95.D7.A.A$91.D3.D$91.D3.D$95.D$92.D.D25$102.3A$101.A2.
A$104.A$104.A$101.A.A!

Here's the flat RLE version of the test pattern:

x = 106, y = 1437, rule = B3/S23
3bo$bobo$2b2o4$bo$2bo$3o8$10bo$11b2o$5b3o2b2o$7bo$6bo4$8bo$8b2o$7bobo
32$30b3o$29bo2bo$32bo$28bo3bo$32bo$29bobo8b3o$39bo2bo5bo5b3o$42bo4b3o
3bo2bo5bo5b3o$34b3o5bo4bob2o5bo4b3o3bo2bo5bo$33bo2bo2bobo6b3o5bo4bob2o
5bo4b3o5b3o$36bo11b3o2bobo6b3o5bo4bob2o3bo2bo5bo$36bo11b3o11b3o2bobo6b
3o6bo4b3o$33bobo12b2o12b3o11b3o6bo4bob2o$62b2o12b3o3bobo6b3o$76b2o13b
3o$91b3o$91b2o5$102b3o$87bo14bo2bo$73bo12b3o4b3o6bo$59bo12b3o4b3o3b2ob
o3bo2bo6bo$45bo12b3o4b3o3b2obo3bo2bo3b3o7bo7bobo$44b3o4b3o3b2obo3bo2bo
3b3o7bo4b2o3bo3bo$37b3o3b2obo3bo2bo3b3o7bo4b2o3bo3bo9bo3bo$36bo2bo3b3o
7bo4b2o3bo3bo9bo3bo13bo$39bo4b2o3bo3bo9bo3bo13bo10bobo$35bo3bo9bo3bo
13bo10bobo$35bo3bo13bo10bobo$39bo10bobo$30b3o3bobo$30bo2bo$30bo$30bo3b
o$30bo$31bobo38$17bo$18bo$16b3o5$16bo$14bobo$15b2o8$24bobo$25b2o$20b2o
3bo$19bobo$21bo5$22b2o$23b2o$22bo4$102b3o$87bo13bo2bo$73bo12b3o4b3o8bo
$59bo12b3o4b3o4bob2o3bo2bo7bo$45bo12b3o4b3o4bob2o3bo2bo4b3o3bo7bobo$
44b3o4b3o4bob2o3bo2bo4b3o3bo7b2o4bo3bo$37b3o4bob2o3bo2bo4b3o3bo7b2o4bo
3bo9bo3bo$37bo2bo4b3o3bo7b2o4bo3bo9bo3bo9bo$37bo7b2o4bo3bo9bo3bo9bo14b
obo$37bo3bo9bo3bo9bo14bobo$37bo3bo9bo14bobo$37bo14bobo$38bobo5$40b3o$
39bo2bo5bo5b3o$42bo4b3o3bo2bo5bo5b3o$42bo4bob2o5bo4b3o3bo2bo5bo$39bobo
6b3o5bo4bob2o5bo4b3o5b3o$48b3o2bobo6b3o5bo4bob2o3bo2bo5bo$48b3o11b3o2b
obo6b3o6bo4b3o$48b2o12b3o11b3o6bo4bob2o$62b2o12b3o3bobo6b3o$76b2o13b3o
$91b3o$91b2o5$102b3o$87bo14bo2bo$73bo12b3o4b3o6bo$59bo12b3o4b3o3b2obo
3bo2bo6bo$45bo12b3o4b3o3b2obo3bo2bo3b3o7bo7bobo$44b3o4b3o3b2obo3bo2bo
3b3o7bo4b2o3bo3bo$43b2obo3bo2bo3b3o7bo4b2o3bo3bo9bo3bo$43b3o7bo4b2o3bo
3bo9bo3bo13bo$44b2o3bo3bo9bo3bo13bo10bobo$49bo3bo13bo10bobo$53bo10bobo
$50bobo7$48bo5b3o$47b3o4bo2bo4bo5b3o$46b2obo4bo6b3o4bo2bo4bo$46b3o5bo
5b2obo4bo6b3o5b3o$46b3o6bobo2b3o5bo5b2obo5bo2bo4bo$46b3o11b3o6bobo2b3o
6bo6b3o$47b2o11b3o11b3o6bo5b2obo$61b2o11b3o7bobo2b3o$75b2o12b3o$89b3o$
90b2o5$102b3o$87bo13bo2bo$73bo12b3o4b3o8bo$59bo12b3o4b3o4bob2o3bo2bo7b
o$45bo12b3o4b3o4bob2o3bo2bo4b3o3bo7bobo$44b3o4b3o4bob2o3bo2bo4b3o3bo7b
2o4bo3bo$44bob2o3bo2bo4b3o3bo7b2o4bo3bo9bo3bo$45b3o3bo7b2o4bo3bo9bo3bo
9bo$45b2o4bo3bo9bo3bo9bo14bobo$51bo3bo9bo14bobo$51bo14bobo$52bobo7$48b
o5b3o$47b3o3bo2bo5bo5b3o$47bob2o5bo4b3o3bo2bo5bo$48b3o5bo4bob2o5bo4b3o
5b3o$48b3o2bobo6b3o5bo4bob2o3bo2bo5bo$48b3o11b3o2bobo6b3o6bo4b3o$48b2o
12b3o11b3o6bo4bob2o$62b2o12b3o3bobo6b3o$76b2o13b3o$91b3o$91b2o56$102b
3o$87bo13bo2bo$73bo12b3o4b3o8bo$59bo12b3o4b3o4bob2o3bo2bo7bo$58b3o4b3o
4bob2o3bo2bo4b3o3bo7bobo$51b3o4bob2o3bo2bo4b3o3bo7b2o4bo3bo$51bo2bo4b
3o3bo7b2o4bo3bo9bo3bo$51bo7b2o4bo3bo9bo3bo9bo$51bo3bo9bo3bo9bo14bobo$
51bo3bo9bo14bobo$51bo14bobo$52bobo7$48bo5b3o$47b3o3bo2bo5bo5b3o$47bob
2o5bo4b3o3bo2bo5bo$48b3o5bo4bob2o5bo4b3o5b3o$48b3o2bobo6b3o5bo4bob2o3b
o2bo5bo$48b3o11b3o2bobo6b3o6bo4b3o$48b2o12b3o11b3o6bo4bob2o$62b2o12b3o
3bobo6b3o$76b2o13b3o$91b3o$91b2o5$102b3o$87bo14bo2bo$73bo12b3o4b3o6bo$
59bo12b3o4b3o3b2obo3bo2bo6bo$58b3o4b3o3b2obo3bo2bo3b3o7bo7bobo$51b3o3b
2obo3bo2bo3b3o7bo4b2o3bo3bo$50bo2bo3b3o7bo4b2o3bo3bo9bo3bo$53bo4b2o3bo
3bo9bo3bo13bo$49bo3bo9bo3bo13bo10bobo$49bo3bo13bo10bobo$53bo10bobo$50b
obo7$54b3o$54bo2bo4bo5b3o$54bo6b3o4bo2bo4bo$54bo5b2obo4bo6b3o5b3o$55bo
bo2b3o5bo5b2obo5bo2bo4bo$60b3o6bobo2b3o6bo6b3o$60b3o11b3o6bo5b2obo$61b
2o11b3o7bobo2b3o$75b2o12b3o$89b3o$90b2o5$102b3o$87bo13bo2bo$73bo12b3o
4b3o8bo$59bo12b3o4b3o4bob2o3bo2bo7bo$58b3o4b3o4bob2o3bo2bo4b3o3bo7bobo
$51b3o4bob2o3bo2bo4b3o3bo7b2o4bo3bo$51bo2bo4b3o3bo7b2o4bo3bo9bo3bo$51b
o7b2o4bo3bo9bo3bo9bo$51bo3bo9bo3bo9bo14bobo$51bo3bo9bo14bobo$51bo14bob
o$52bobo7$54b3o$53bo2bo5bo5b3o$56bo4b3o3bo2bo5bo$56bo4bob2o5bo4b3o5b3o
$53bobo6b3o5bo4bob2o3bo2bo5bo$62b3o2bobo6b3o6bo4b3o$62b3o11b3o6bo4bob
2o$62b2o12b3o3bobo6b3o$76b2o13b3o$91b3o$91b2o23$31bo$32bo$30b3o5$30bo$
28bobo$29b2o8$38bobo$39b2o$34b2o3bo$33bobo$35bo5$36b2o$37b2o$36bo5$
102b3o$87bo13bo2bo$73bo12b3o4b3o8bo$59bo12b3o4b3o4bob2o3bo2bo7bo$58b3o
4b3o4bob2o3bo2bo4b3o3bo7bobo$51b3o4bob2o3bo2bo4b3o3bo7b2o4bo3bo$51bo2b
o4b3o3bo7b2o4bo3bo9bo3bo$51bo7b2o4bo3bo9bo3bo9bo$51bo3bo9bo3bo9bo14bob
o$51bo3bo9bo14bobo$51bo14bobo$52bobo7$54b3o$53bo2bo5bo5b3o$56bo4b3o3bo
2bo5bo$56bo4bob2o5bo4b3o5b3o$53bobo6b3o5bo4bob2o3bo2bo5bo$62b3o2bobo6b
3o6bo4b3o$62b3o11b3o6bo4bob2o$62b2o12b3o3bobo6b3o$76b2o13b3o$91b3o$91b
2o5$102b3o$87bo14bo2bo$73bo12b3o4b3o6bo$59bo12b3o4b3o3b2obo3bo2bo6bo$
58b3o4b3o3b2obo3bo2bo3b3o7bo7bobo$57b2obo3bo2bo3b3o7bo4b2o3bo3bo$57b3o
7bo4b2o3bo3bo9bo3bo$58b2o3bo3bo9bo3bo13bo$63bo3bo13bo10bobo$67bo10bobo
$64bobo8$54b3o$54bo2bo4bo5b3o$54bo6b3o4bo2bo4bo$54bo5b2obo4bo6b3o5b3o$
55bobo2b3o5bo5b2obo5bo2bo4bo$60b3o6bobo2b3o6bo6b3o$60b3o11b3o6bo5b2obo
$61b2o11b3o7bobo2b3o$75b2o12b3o$89b3o$90b2o5$102b3o$87bo13bo2bo$73bo
12b3o4b3o8bo$59bo12b3o4b3o4bob2o3bo2bo7bo$58b3o4b3o4bob2o3bo2bo4b3o3bo
7bobo$58bob2o3bo2bo4b3o3bo7b2o4bo3bo$59b3o3bo7b2o4bo3bo9bo3bo$59b2o4bo
3bo9bo3bo9bo$65bo3bo9bo14bobo$65bo14bobo$66bobo8$54b3o$53bo2bo5bo5b3o$
56bo4b3o3bo2bo5bo$56bo4bob2o5bo4b3o5b3o$53bobo6b3o5bo4bob2o3bo2bo5bo$
62b3o2bobo6b3o6bo4b3o$62b3o11b3o6bo4bob2o$62b2o12b3o3bobo6b3o$76b2o13b
3o$91b3o$91b2o40$41bo$42b2o$41b2o5$39bobo$40b2o$40bo7$50bo51b3o$45bo5b
o35bo13bo2bo$45b2o2b3o21bo12b3o4b3o8bo$44bobo25b3o4b3o4bob2o3bo2bo7bo$
65b3o4bob2o3bo2bo4b3o3bo7bobo$65bo2bo4b3o3bo7b2o4bo3bo$65bo7b2o4bo3bo
9bo3bo$65bo3bo9bo3bo9bo$47b2o16bo3bo9bo14bobo$46bobo16bo14bobo$48bo17b
obo9$62bo5b3o$61b3o3bo2bo5bo$61bob2o5bo4b3o5b3o$62b3o5bo4bob2o3bo2bo5b
o$62b3o2bobo6b3o6bo4b3o$62b3o11b3o6bo4bob2o$62b2o12b3o3bobo6b3o$76b2o
13b3o$91b3o$91b2o5$102b3o$87bo14bo2bo$73bo12b3o4b3o6bo$72b3o4b3o3b2obo
3bo2bo6bo$65b3o3b2obo3bo2bo3b3o7bo7bobo$64bo2bo3b3o7bo4b2o3bo3bo$67bo
4b2o3bo3bo9bo3bo$63bo3bo9bo3bo13bo$63bo3bo13bo10bobo$67bo10bobo$64bobo
9$68b3o$68bo2bo4bo$68bo6b3o5b3o$68bo5b2obo5bo2bo4bo$69bobo2b3o6bo6b3o$
74b3o6bo5b2obo$74b3o7bobo2b3o$75b2o12b3o$89b3o$90b2o5$102b3o$87bo13bo
2bo$73bo12b3o4b3o8bo$72b3o4b3o4bob2o3bo2bo7bo$65b3o4bob2o3bo2bo4b3o3bo
7bobo$65bo2bo4b3o3bo7b2o4bo3bo$65bo7b2o4bo3bo9bo3bo$65bo3bo9bo3bo9bo$
65bo3bo9bo14bobo$65bo14bobo$66bobo9$68b3o$67bo2bo5bo$70bo4b3o5b3o$70bo
4bob2o3bo2bo5bo$67bobo6b3o6bo4b3o$76b3o6bo4bob2o$76b3o3bobo6b3o$76b2o
13b3o$91b3o$91b2o22$45bo$46bo$44b3o5$44bo$42bobo$43b2o8$52bobo$53b2o$
48b2o3bo$47bobo$49bo5$50b2o$51b2o$50bo6$102b3o$87bo13bo2bo$73bo12b3o4b
3o8bo$72b3o4b3o4bob2o3bo2bo7bo$65b3o4bob2o3bo2bo4b3o3bo7bobo$65bo2bo4b
3o3bo7b2o4bo3bo$65bo7b2o4bo3bo9bo3bo$65bo3bo9bo3bo9bo$65bo3bo9bo14bobo
$65bo14bobo$66bobo9$68b3o$67bo2bo5bo$70bo4b3o5b3o$70bo4bob2o3bo2bo5bo$
67bobo6b3o6bo4b3o$76b3o6bo4bob2o$76b3o3bobo6b3o$76b2o13b3o$91b3o$91b2o
5$102b3o$87bo14bo2bo$73bo12b3o4b3o6bo$72b3o4b3o3b2obo3bo2bo6bo$71b2obo
3bo2bo3b3o7bo7bobo$71b3o7bo4b2o3bo3bo$72b2o3bo3bo9bo3bo$77bo3bo13bo$
81bo10bobo$78bobo10$68b3o$68bo2bo4bo$68bo6b3o5b3o$68bo5b2obo5bo2bo4bo$
69bobo2b3o6bo6b3o$74b3o6bo5b2obo$74b3o7bobo2b3o$75b2o12b3o$89b3o$90b2o
5$102b3o$87bo13bo2bo$73bo12b3o4b3o8bo$72b3o4b3o4bob2o3bo2bo7bo$72bob2o
3bo2bo4b3o3bo7bobo$73b3o3bo7b2o4bo3bo$73b2o4bo3bo9bo3bo$79bo3bo9bo$79b
o14bobo$80bobo10$68b3o$67bo2bo5bo$70bo4b3o5b3o$70bo4bob2o3bo2bo5bo$67b
obo6b3o6bo4b3o$76b3o6bo4bob2o$76b3o3bobo6b3o$76b2o13b3o$91b3o$91b2o41$
55bo$56b2o$55b2o5$53bobo$54b2o$54bo6$102b3o$64bo22bo13bo2bo$59bo5bo20b
3o4b3o8bo$59b2o2b3o13b3o4bob2o3bo2bo7bo$58bobo18bo2bo4b3o3bo7bobo$79bo
7b2o4bo3bo$79bo3bo9bo3bo$79bo3bo9bo$79bo14bobo$61b2o17bobo$60bobo$62bo
9$76bo$75b3o5b3o$75bob2o3bo2bo5bo$76b3o6bo4b3o$76b3o6bo4bob2o$76b3o3bo
bo6b3o$76b2o13b3o$91b3o$91b2o5$102b3o$87bo14bo2bo$86b3o4b3o6bo$79b3o3b
2obo3bo2bo6bo$78bo2bo3b3o7bo7bobo$81bo4b2o3bo3bo$77bo3bo9bo3bo$77bo3bo
13bo$81bo10bobo$78bobo12$83b3o$83bo2bo4bo$83bo6b3o$83bo5b2obo$84bobo2b
3o$89b3o$89b3o$90b2o5$102b3o$87bo13bo2bo$86b3o4b3o8bo$79b3o4bob2o3bo2b
o7bo$79bo2bo4b3o3bo7bobo$79bo7b2o4bo3bo$79bo3bo9bo3bo$79bo3bo9bo$79bo
14bobo$80bobo12$83b3o$82bo2bo5bo$85bo4b3o$85bo4bob2o$82bobo6b3o$91b3o$
91b3o$91b2o21$59bo$60bo$58b3o5$58bo$56bobo$57b2o8$66bobo$67b2o$62b2o3b
o$61bobo$63bo5$64b2o$65b2o$64bo7$102b3o$87bo13bo2bo$86b3o4b3o8bo$79b3o
4bob2o3bo2bo7bo$79bo2bo4b3o3bo7bobo$79bo7b2o4bo3bo$79bo3bo9bo3bo$79bo
3bo9bo$79bo14bobo$80bobo12$83b3o$82bo2bo5bo$85bo4b3o$85bo4bob2o$82bobo
6b3o$91b3o$91b3o$91b2o5$102b3o$87bo14bo2bo$86b3o4b3o6bo$85b2obo3bo2bo
6bo$85b3o7bo7bobo$86b2o3bo3bo$91bo3bo$95bo$92bobo13$83b3o$83bo2bo4bo$
83bo6b3o$83bo5b2obo$84bobo2b3o$89b3o$89b3o$90b2o5$102b3o$87bo13bo2bo$
86b3o4b3o8bo$86bob2o3bo2bo7bo$87b3o3bo7bobo$87b2o4bo3bo$93bo3bo$93bo$
94bobo13$83b3o$82bo2bo5bo$85bo4b3o$85bo4bob2o$82bobo6b3o$91b3o$91b3o$
91b2o43$70bo$71b2o$70b2o5$68bobo$69b2o$69bo4$102b3o$101bo2bo$93b3o8bo$
79bo13bo2bo7bo$74bo5bo12bo7bobo$74b2o2b3o12bo3bo$73bobo17bo3bo$93bo$
94bobo3$76b2o$75bobo$77bo9$91bo$90b3o$90bob2o$91b3o$91b3o$91b3o$91b2o
5$102b3o$102bo2bo$93b3o6bo$92bo2bo6bo$95bo7bobo$91bo3bo$91bo3bo$95bo$
92bobo25$102b3o$101bo2bo$93b3o8bo$93bo2bo7bo$93bo7bobo$93bo3bo$93bo3bo
$93bo$94bobo40$73bo$74bo$72b3o5$72bo$70bobo$71b2o8$80bobo$81b2o$76b2o
3bo$75bobo$77bo5$78b2o$79b2o$78bo8$102b3o$101bo2bo$93b3o8bo$93bo2bo7bo
$93bo7bobo$93bo3bo$93bo3bo$93bo$94bobo25$102b3o$102bo2bo$102bo$102bo$
103bobo29$102b3o$101bo2bo$104bo$104bo$101bobo!

Anyone see problem points that I'm missing? The blinker is close to the HWSS stream, so this recipe wouldn't work for odd-period streams, but that's not a problem here. It can drop an HWSS very closely in front of an approaching *WSS, but it's a slow insertion reaction so it can't construct immediately behind a passing *WSS.

A sixth glider can be added to clean up the leftover block, unless the block turns out to be useful. It would be interesting to build a slow-salvo version of the Caterpillar, where all the gliders come from the northwest, and the block is re-used as a target to build the next *WSS.

EDIT: Here's the slow-salvo recipe extracted from oblique's results, as it would come from a 31c/240 rake:

x = 10497, y = 10500, rule = B3/S23
2bo$obo$b2o1194$1215bo$1213bobo$1214b2o1926$3123bo$3121bobo$3122b2o
1005$4141bobo$4142b2o$4142bo626$4754bo$4755b2o$4754b2o2588$7367bo$
7368b2o$7367b2o1497$8860bo$8861b2o$8860b2o1377$10229bo$10230bo$10228b
3o263$10494bo$10495b2o$10494b2o3$10494b2o$10495b2o$10494bo!

So this particular recipe doesn't work as a slow salvo: unless the fourth through eighth SEward gliders are sent in very quick succession, the intermediate targets will all just barely get in the way of passing HWSSes. But the current search is optimized for 31c/240, anyway -- there will be other HWSS edge-shooter slow salvos for 17c/45 rakes. It wouldn't even be all that expensive to design a new slow salvo that builds the above HWSS seed one piece at a time, but without intruding on the upship lane.

EDIT 2: Pure slow-salvo recipes for the above HWSS seed are posted on the sscs search thread. They were assembled manually from known atomic operations, so there are undoubtedly much shorter solutions out there. It looks to me as if the 16-glider seed recipe would work fine in a Caterpillar, which has a period of 270 instead of 240 and also moves much faster than the 31c/240 reaction, so its recipes just have to fit in a modulo-102 vertical stripe instead of modulo-31.

These slow salvos don't address the problem of building the one problem HWSS in the original helix, though. That one is still unbuildable by known slow salvos. -- Well, there again a recipe could be manually strung together to make a slow-salvo seed for the four synchronized gliders used by the original Caterpillar, but that would be ridiculously expensive. The search continues for alternative HWSS seeds.
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Re: Caterpillar's little brother research

Postby HartmutHolzwart » September 4th, 2014, 7:59 am

... now that the c31/240 ship is completed (congratulations) and is in optimization mode, how about reviving this thread:

The challenge would be to get the original design significantly smaller.

This could be reached by

a) switching to a x5 design (which would need somewhat 15% less support by HWSS

b) finding a more efficient way to build HWSS, MWSS and LWSS rakes,either with traditional backward and forward glider rakes, or by slow salvo constructions.

c) further measures?

What would be the master plan for doing this efficiently?
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Re: Caterpillar's little brother research

Postby dvgrn » September 4th, 2014, 12:28 pm

HartmutHolzwart wrote:... now that the c31/240 ship is completed (congratulations) and is in optimization mode, how about reviving this thread:

The challenge would be to get the original design significantly smaller... What would be the master plan for doing this efficiently?

Well, I don't have a very good track record with "efficiently", I'm afraid. I seem to be much better at "incrementally", or maybe "glacially". So I can't help you there...!

It will take a while to adjust my thinking -- I've been working with period 240, spatial period 89 (for the *WSSes) and 31 (for the Herschel climbers). The current Caterpillar is period 270, but the base spatial period is 33 (for the *WSSes) and 17 (for the pi climbers): those last are maybe too short to do slow-salvo constructions -- but of course that's what we have the 6x multiplier mechanism for.

Questions that come up immediately:

1) Might it possibly be workable to build a slow-salvo-based Caterpillar that's plain p45, with no multiplier mechanism? A width of 17 seems likely to be too narrow to support slow-salvo *WSS constructions, but you never know until you look at it for a while (and/or do an exhaustive search)!

2) Certainly we've proven that a 2x multiplication (width 34) would be enough to support slow-salvo construction, since there's no problem at width 31. Is there any size advantage to changing the multiplier mechanism to a 2x one, making a p90 spaceship? What exactly does not work at 2x -- and can we make it work with new technology?

3) Let's say W is the width of the slow-salvo construction "stripe" -- i.e., the number of cells between gliders in a construction stream. W=102 for the original Caterpillar, whereas it's W=31 for the 31c/230 spaceship. But we might end up at 5x (W=85) or some other number for Caterpillar's little brother. How easy is it to build different drop-in rakes for each possible glider lane 0..W-1? I still don't understand catcher and thrower technology well enough to answer this yet...

Once we have ways to put gliders on any lane in the construction stripe, and we know what each lane costs in terms of spaceship length, it should be possible to adapt the sscs search program to look for edge-shooting *WSS seed recipes that work in that context. I haven't checked yet if the HWSS recipe in the shield-bug spaceship works with all the HWSSes in the current Caterpillar helix, but that construction is very unlikely to be minimal.
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Re: Caterpillar's little brother research

Postby HartmutHolzwart » September 4th, 2014, 3:09 pm

... I understand that the four catch and throw device are meant to adjust the timing of the gliders while the four pi rakes are meant to provide the correct relative spacing.

I think that even using the new *WSS constructions when used in the traditional way should give an improvement, as we would need much less kickback reactions, i.e. less gliders per *WSS overall.

All in all, the current construction is very much optimized the way it is. So it will be very hard to improve it directly. Rather, we have to start more or less from scratch and then optimize from there.

It might be good to have the original designers on board for support.
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Re: Caterpillar's little brother research

Postby codeholic » September 4th, 2014, 5:24 pm

dvgrn wrote:What exactly does not work at 2x

The helix. 17c/45 is too fast for periods shorter than 5x.
-- and can we make it work with new technology?

Unfortunately, no :(
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Re: Caterpillar's little brother research

Postby codeholic » September 5th, 2014, 12:41 pm

dvgrn wrote:I still don't understand catcher and thrower technology well enough to answer this yet...

If I get it right, catchers and throwers were needed for synchronizing gliders for *WSS synthesis. If we synthesize spaceship streams merely with slow salvos, we might not need them at all, but we could just wait for an appropriate position of the glider filter relatively to the lane we want to shoot a glider at. On the other hand, building Pi tracks is quite cheap, so I expect that building one pair of a catcher and a thrower on each side would actually pay back, because you wouldn't need to wait for the glider filter to get to the right position.

While writing, I was struck by the question, whether 5x would actually work, because the medium (i. e. blinkers) are p2, while the ship would have to be p225. Can you see any particular problems with that?
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Re: Caterpillar's little brother research

Postby dvgrn » September 5th, 2014, 2:30 pm

codeholic wrote:While writing, I was struck by the question, whether 5x would actually work, because the medium (i. e. blinkers) are p2, while the ship would have to be p225. Can you see any particular problems with that?

No, there's no trouble that I can see. We'll need a 5x glider filter instead of a 6x one, but there's no problem knocking out one *WSS out of five, since we'll have p225 glider streams to work with.

In 225 ticks, the new Caterpillar will be back in its exact original state, but offset by 85 cells. In a blinker trail, the blinker 85 cells up is in the opposite phase at T=0, but of course it will be in the correct phase when you get to T=225 -- everything Just Works the same every cycle.

One new detail for odd-period Caterpillars will be that the various streams of gliders and *WSSes will include all four phases, instead of just two phases. I've been kind of spoiled by working on nice easy 31c/240, where all the gliders and HWSSes in a stream are always in the same phase. With odd periods it gets a little harder to tell by inspection if a given stream in a slow-salvo construction is even-phase or odd-phase.

It's all relative to the intermediate target that a glider is aimed at, I suppose -- alternate targets will be in different phases also (!).
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Re: Caterpillar's little brother research

Postby chris_c » September 12th, 2014, 11:54 am

Here is a method to make the familiar HWSS seed work with odd periods: create the blinker behind the next HWSS using a well timed glider from the SW.

x = 50, y = 117, rule = B3/S23
bo$2bo$3o6$17bo$18bo$16b3o26$35bo$36bo$34b3o9$20b2o$19bobo$21bo3$34b3o
$36bo$35bo29$3b3o$5bo$4bo25$48bo$47b3o$46b2obo$46b3o$46b3o$46b3o$47b2o!


Unfortunately, in codeholic's 5x helix, it does not work to generate the right hand HWSS on the bottom row (because of the LWSS above) or the two left hand HWSS on the top row (because of the HWSS above). I tried to put dotted boxes around the ships that I mean:

x = 74, y = 66, rule = B3/S23
20b3o$20bo2bo4bo5b3o$20bo6b3o4bo2bo4bo5b3o$15b2o3bo5b2obo4bo6b3o4bo2bo
4bo$16b2o3bobo2b3o5bo5b2obo4bo6b3o$15bo10b3o6bobo2b3o5bo5b2obo$26b3o
11b3o6bobo2b3o$27b2o11b3o11b3o$41b2o11b3o$55b2o10bo$66b3o$65b2obo$65b
3o$52bo13b2o$38bo12b3o$24bo12b3o4b3o3b2obo5b3o$23b3o4b3o3b2obo3bo2bo3b
3o5bo2bo$16b3o3b2obo3bo2bo3b3o7bo4b2o8bo$15bo2bo3b3o7bo4b2o3bo3bo14bo$
6bo11bo4b2o3bo3bo9bo3bo11bobo$5b3o6bo3bo9bo3bo13bo$4b2obo6bo3bo13bo10b
obo25b3o$4b3o11bo10bobo38bo2bo$4b3o8bobo55bo$5b2o66bo$70bobo2$13bo7bo
4bobobobo$12b3o5b3o2bo7bobo4bobobobo$12bob2o4bob2o3b3o4b3o2bo7bobo$13b
3o5b3obobo2bo2b2ob2o3b3o4b3o$13b2o6b2o4bo7b3obobo2bo2b2ob2o3b3o$2bo22b
obo3bobob2o4bo7b3o3bo2bo$b3o23bo3bo7bobo3bobob2o4bo$2obo21bobo5bo7bo3b
o9bo3bo$3o25bobo8bobo5bo7bo3bo$3o22bo7bo8bobo10bo$b2o23bobobobo6bo7bo
8bobo7b3o$40bobobobo19bo2bo$66bo$42bobobobo17bo$41bo7bob3o13bobo$37b3o
5bo5bo2bo5bo$23b3o5bo5bo2b2o2b3o2bobo7b3o$17bo5bo2bo3b3o4bo5b2obo4bo6b
2obo$16b3o4bo5b2obo4bo3bob3o3bo2bobo3b3o$15b2obo4bo5b3o6bobo2b3o13b2o$
5b3o7b3o6bobo2b3o9bob3o3bo$5bo2bo6b3o11b3o12b2o26bo$5bo9b3o12b2o9bo7bo
21b3o$5bo3bo6b2o24bobobobo21b2obo$5bo64b3o$6bobo62b2o3$12b3o$11bo2bo$
14bo$14bo$11bobo$b3o$bo2bo$bo$bo3bo$bo$2bobo!
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Re: Caterpillar's little brother research

Postby dvgrn » September 12th, 2014, 1:03 pm

chris_c wrote:Unfortunately, in codeholic's 5x helix, it does not work to generate the right hand HWSS on the bottom row (because of the LWSS above) or the two left hand HWSS on the top row (because of the HWSS above). I tried to put dotted boxes around the ships that I mean...

Hmm, so we still need another new slow-salvo HWSS seed recipe. There's one out there somewhere, of course.

-- If nothing else, there's probably an obvious (though expensive) one that mimics the HWSS recipe in the original Caterpillar. Build an eater, build a "glider splitter" constellation in front of it and a couple of one-time glider turners, and trigger it all with a single glider. That entire slow-salvo rake probably fits in a significantly smaller space than the Caterpillar's HWSS rake.

But that would just be an upper bound -- there's bound to be something better. Has anyone besides oblique actually set up and run a copy of the sscs search program? The search space probably needs some adjustments to make it really appropriate for 17c/45.
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Re: Caterpillar's little brother research

Postby chris_c » September 13th, 2014, 8:55 am

dvgrn wrote:-- If nothing else, there's probably an obvious (though expensive) one that mimics the HWSS recipe in the original Caterpillar. Build an eater, build a "glider splitter" constellation in front of it and a couple of one-time glider turners, and trigger it all with a single glider.


I don't think the synthesis used in the original Caterpillar is fast enough to make 2 of HWSS on the top row of codeholic's 5x helix. Therefore I know of no one-sided synthesis at all that is suitable to make those ships.

dvgrn wrote:Has anyone besides oblique actually set up and run a copy of the sscs search program?


I did about 6 weeks ago but it became clear that oblique had already run the program for far longer than I was willing to so I gave up.

As a bit of an experiment I have been thinking about making "paired" slow salvos. Here are the two edge shooting examples that I have come up with so far:

x = 147, y = 94, rule = B3/S23
bo$2bo$3o4$109bo$110bo$108b3o17$18bo109bo$19bo109bo$17b3o107b3o17$35bo
bo$36b2o102bo$36bo104b2o$140b2o6$31b2o$32b2o111bo$31bo113b2o$144bobo
16$16b3o104b2o$18bo103bobo$17bo106bo14$108bo$108b2o$107bobo$3b3o$5bo$
4bo!


I think these are quite amenable to a Caterpillar style construction:

1. No headaches with using kickbacks.
2. The timed pairs are close in terms of x-coordinate so it should be relatively easy to fire many of these pairs in parallel without getting collisions.
3. The extra degree of freedom given by the time variable will hopefully allow for nice short salvos.

I have only searched about 2% of the way through all 3-pair salvos with the following conditions: a) each glider must fire within 8 lanes of the centre of the target pattern, b) the time delay between the paired gliders must be +/-15 ticks. I will keep going for a while and hope for some nice HWSS seeds.
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Re: Caterpillar's little brother research

Postby dvgrn » September 13th, 2014, 11:32 am

chris_c wrote:As a bit of an experiment I have been thinking about making "paired" slow salvos...
1. No headaches with using kickbacks.
2. The timed pairs are close in terms of x-coordinate so it should be relatively easy to fire many of these pairs in parallel without getting collisions.
3. The extra degree of freedom given by the time variable will hopefully allow for nice short salvos.

Yes, I don't see any serious difficulties with paired slow salvos.

For constructing things really far away, they're definitely not as "packable" as pure-forward or pure-backward slow salvos. You can fire quite a few pairs in parallel, but eventually you'll fill up all the open columns with (let's say) forward gliders, and then you have to wait around forever until all those forward rakes go past before you can start a new paired-slow construction.

-- At least, the way I'm visualizing it, you can't really move the forerakes around to fit in new backrakes for the next construction -- each forerake is fixed in position and timing relative to its own paired backrake.

At 31c/240, if you're lucky, an intermediate rephaser in just the right position can be repurposed into a backrake at no extra cost... but that's just if you're lucky, and I'm not sure at all what the equivalent will be at 17c/45.

So you'll end up with forerake-backrake-construction-point triangles quite similar to the LWSS and MWSS rakes in the original Caterpillar. The biggest point of improvement will be in the HWSS rakes, which need two successive triangles in the old Caterpillar -- hopefully we can still find a way to reduce that to a single triangle.

This is all by way of saying: the more gaps in one of the salvos, the better. For example, recipes with four pairs of gliders would be much less "overlappable" than recipes with two pairs plus two singleton backrake gliders. The same would be true with two pairs plus two singleton forerake gliders (as long as the recipes it was overlapping also had sparse forerake salvos.)

... Does that make sense? In your current searches, are you allowing the possibility of singleton gliders after the initial pair, or are you limiting the search to all pairs?

Adding singletons actually doesn't increase the search space by very much, so maybe it's just wishful thinking that something new and useful might show up there.
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Re: Caterpillar's little brother research

Postby HartmutHolzwart » September 14th, 2014, 7:33 am

would it be possible to construct a convoy of two *WSS simultaneously that together have more room than only one? Just thinking that we have an LWSS seed with a big overlap.
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Re: Caterpillar's little brother research

Postby chris_c » September 14th, 2014, 9:01 am

dvgrn wrote:... Does that make sense? In your current searches, are you allowing the possibility of singleton gliders after the initial pair, or are you limiting the search to all pairs?

Yes, agreed. My search only uses pairs at the moment. I will try to tidy it up and post it. It definitely won't be as thorough and efficient as sscs but it may come in handy.
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Re: Caterpillar's little brother research

Postby HartmutHolzwart » September 19th, 2014, 8:27 am

Coming back to an x6 design:

Could we have a modified front end, where the fanout is organized in two parts: The inner part is x3 while the outer part is designed to serve two gliders for the x3 part?

If we would have this new front end, we could modify the filter stream far down the caterpillar by sending an additional appropriately timed glider, such that an additional *WSS is killed from the filter stream, so that finally every third *WSS is missing. The reamining upstream fanout *WSS would then be created in x3 mode instead of x6 mode, thus saving half of the length in the pi stream that would otherwise needed for them.

Maybe we could even massage the burning helix to deliver a second glider at the right timing, making it x3 in effect while it would still be x6. The idea would be to let the main glider being duplicated when it first wiggles back to the right. Currently, this is only done after the final turn.

I hope the idea gets clear, even if it is somewhat unlikely that it works.
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Re: Caterpillar's little brother research

Postby HartmutHolzwart » September 20th, 2014, 7:53 am

Are there any interesting reaction between a pi and a single glider that might be helpful?

Would thre be any way to systematically search for small tagalongs for one or two pis? The period is clearly out reach for wls and similar search programs.

Edit: The idea of using an x3 fanout is not so easy. The ships are those produced at the upper part of the caterpillar, so one would need a seperate filter stream for this
Last edited by HartmutHolzwart on September 22nd, 2014, 3:10 pm, edited 1 time in total.
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