Just the place for a Snark!

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
MikeP
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Location: Ely, Cambridgeshire, UK

Just the place for a Snark!

Post by MikeP » April 25th, 2013, 7:46 pm

Code: Select all

#C Four "Snark" reflectors form a loop
#C Mike Playle, 26/4/2013
x = 66, y = 66, rule = B3/S23
35b2o$34bobo$28b2o4bo$26bo2bo2b2ob4o$26b2obobobobo2bo$29bobobobo$29bob
ob2o$30bo2$43b2o$34b2o7bo$34b2o5bobo$41b2o6$9bo$9b3o19b2o$12bo19bo$11b
2o16b3o$29bo2$3b2o$3bo$2obo$o2b3o4b2o$b2o3bo3b2o$3b4o54b2o$3bo15b2o40b
o$4b3o12bobo41bo$7bo13bo21b2o14b5o$2b5o14b2o21bo13bo$2bo41bobo12b3o$4b
o40b2o15bo$3b2o54b4o$54b2o3bo3b2o$54b2o4b3o2bo$62bob2o$62bo$61b2o2$36b
o$34b3o16b2o$33bo19bo$33b2o19b3o$56bo$38b2o$39b2o$38bo3$23b2o$22bobo5b
2o$22bo7b2o$21b2o2$35bo$31b2obobo$30bobobobo$27bo2bobobobob2o$27b4ob2o
2bo2bo$31bo4b2o$29bobo$29b2o!

Sokwe
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Re: Just the place for a Snark!

Post by Sokwe » April 25th, 2013, 8:29 pm

And with a repeat time of 43! Amazing!

Edit: Somebody please rebuild the p59 gun with this new reflector.

Edit: period 43 and 53 oscillators:

Code: Select all

x = 170, y = 75, rule = B3/S23
136b2o$135bobo$129b2o4bo$127bo2bo2b2ob4o$127b2obobo3bo2bo$36b2o92bobob
obo$35bobo92bobob2o$29b2o4bo95bo$27bo2bo2b2ob4o$27b2obobo3bo2bo104b2o$
30bobobobo98bo8bo$30bobob2o99b2o5bobo$31bo110b2o$129bo$44b2o82bo$35bo
8bo83b3o$35b2o5bobo$42b2o$29bo$28bo103b2o$28b3o102bo7b2o$130b3o7b2o$
39bo90bo11bo$38b2o$9bo22b2o4bobo63bo$9b3o21bo70b3o$12bo17b3o74bo$11b2o
17bo75b2o7bobo$115b2o$19bo96bo$3b2o12b2o79b2o$3bo14b2o78bo$2obo56b2o
33b2obo66b2o$o2b3o5bo37b2o9bo34bo2b3o5bo47b2o9bo$b2o3bo3b2o37bobo10bo
33b2o3bo3b2o47bobo10bo$3bob2o35b2o5bo8b5o35bob2o45b2o5bo8b5o$3bo15b2o
22bo13bo40bo15b2o32bo13bo$4b3o12bobo21bobo12b3o38b3o12bobo31bobo12b3o$
7bo13bo22b2o15bo40bo13bo32b2o15bo$2b5o8bo5b2o35b2obo35b5o8bo5b2o45b2ob
o$2bo10bobo37b2o3bo3b2o33bo10bobo47b2o3bo3b2o$4bo9b2o37bo5b3o2bo34bo9b
2o47bo5b3o2bo$3b2o56bob2o33b2o66bob2o$45b2o14bo104bo$46b2o12b2o103b2o$
45bo102bo$148b2o$34bo17b2o93bobo7b2o$32b3o17bo104bo$31bo21b3o102b3o$
24bobo4b2o22bo104bo$25b2o$25bo96bo11bo$123b2o7b3o$34b3o85b2o7bo$36bo
94b2o$35bo$21b2o$20bobo5b2o$20bo8bo104b3o$19b2o115bo$135bo$33bo87b2o$
29b2obobo85bobo5b2o$28bobobobo85bo8bo$25bo2bo3bobob2o81b2o$25b4ob2o2bo
2bo$29bo4b2o97bo$27bobo99b2obobo$27b2o99bobobobo$125bo2bo3bobob2o$125b
4ob2o2bo2bo$129bo4b2o$127bobo$127b2o!
Edit: It looks Like Dave and I owe you some money!
-Matthias Merzenich

igblan
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Joined: September 13th, 2009, 9:42 am

Re: Just the place for a Snark!

Post by igblan » April 25th, 2013, 8:59 pm

Very nicely done!

Cheers, Paul

Sokwe
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Re: Just the place for a Snark!

Post by Sokwe » April 25th, 2013, 9:48 pm

I'm not sure if you have seen these already, but I have noticed a few uses for some of your catalysts over the last year or so: A period-26 "dependent" reflector, and improvements to a p55 and p15 oscillator respectively (improved form above the old form):

Code: Select all

x = 180, y = 61, rule = B3/S23
92bo25bo$91bobo23bobo$92bo25bo$97bo15bo$19b2o69b5o2b3o11b3o2b5o$19bobo
67bo4bo5bo9bo5bo4bo$22bo2b2o61bo2bo7b2o9b2o7bo2bo43b2o4b2o$20b2obo2bo
58bo2bob2o27b2obo2bo40bobo2bobo$19bobob2o59bobobo5bo21bo5bobobo41bo2bo
$20bo64bo2bo4bobo19bobo4bo2bo41bo4bo$88b2o2bo2bo6bo5bo6bo2bo2b2o44b2o
2b2o$93b2o6b3o3b3o6b2o51b2o$178b2o$22b2o135b2o2b2o10b2o2bo$21bo2bo66b
2o25b2o39bo2bo12bob2o$21bobo67bo2bo21bo2bo40bob2o5bo4bo$21bobo68b3o21b
3o42bo6b2o4bo$16b2o4bo65b2o31b2o39b2o5bo5bob2o$15bobo18bo51bo2bob2o21b
2obo2bo40bo11b2o2bo$15bo20b3o51b2obo23bob2o40bo16b2o$14b2o23bo53bo23bo
43b2o$38b2o53b2o3b2o11b2o3b2o51b2o$19bobo77bo11bo55b2o2b2o$19b2o12b2o
13bo2b2o43b3o13b3o52bo4bo$20bo11b2o13bobo2bo43bo17bo53bo2bo$34bo5b3o5b
2obo114bobo2bobo$39bo3bo6bo115b2o4b2o$40b2obo4b2o$42bo5bo$50bo$2b2o45b
2o$2bo$4bo5bo$3b2o4bob2o$2bo6bo3bo78bo25bo$bob2o5b3o5bo72bobo23bobo46b
2o4b2o$o2bobo13b2o11bo59bo25bo47bobo2bobo$2o2bo13b2o12b2o63bo15bo54bo
2bo$31bobo56b5o2b3o11b3o2b5o46bo4bo$13b2o74bo4bo5bo9bo5bo4bo33b2o2bo7b
2o2b2o$13bo23b2o49bo2bo7b2o9b2o7bo2bo32bo2bobo8b2o$14b3o20bo47bo2bob2o
27b2obo2bo30bobobo17b2o$16bo18bobo46bobobo5bo21bo5bobobo28b2obob2o13b
2o2bo$30bo4b2o48bo2bo4bobo19bobo4bo2bo28bo3b2o3bo11bob2o$29bobo56b2o2b
o2bo6bo5bo6bo2bo2b2o30bob2o2b2o8bo4bo$29bobo61b2o6b3o3b3o6b2o35bobo2bo
bo3bo3b2o4bo$28bo2bo122b3o2b2o8bo5bob2o$29b2o127b2o3bo11b2o2bo$152b5ob
ob2o16b2o$93b2o21b2o34bo2bo2bobo$88b2o2bo2bo19bo2bo2b2o34bo2bo8b2o$32b
o52bo2bo4bobo19bobo4bo2bo32b2o7b2o2b2o$28b2obobo50bobobo5bo21bo5bobobo
40bo4bo$26bo2bob2o52bo2bob2o27b2obo2bo42bo2bo$26b2o2bo57bo2bo27bo2bo
43bobo2bobo$31bobo55bo4bo3b2o11b2o3bo4bo44b2o4b2o$32b2o56b5o4bo11bo4b
5o$97bobobo7bobobo$92bo3bobob2o7b2obobo3bo$91bobo2bobo13bobo2bobo$92bo
4b2o13b2o4bo!
Unfortunately, this new catalyst seems to be too specialized to really be useful anywhere else. That being said, it does its one job amazingly well!
-Matthias Merzenich

skomick
Posts: 82
Joined: February 11th, 2011, 11:41 pm

Re: Just the place for a Snark!

Post by skomick » April 25th, 2013, 9:50 pm

Awesome!!
Here it is a bit smaller:

Code: Select all

x = 23, y = 17, rule = B3/S23
13bo$11b3o$10bo$2bo7b2o$obo$b2o$18b2ob2o$19bob2o$19bo$11b2o4b3o$11b2o
3bo3b2o$16b4o2bo$2b2o15bob2o$bobo12b3o2bo$bo13bo5bo$2o14b5o$18bo!
Shannon Omick

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dvgrn
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Re: Just the place for a Snark!

Post by dvgrn » April 25th, 2013, 10:29 pm

Sokwe wrote:It looks Like Dave and I owe you some money!
Definitely! Under 25x25, let alone 35x35 or 50x50. I'll have to think for a while to figure out how best to use this to make a stable glider-to-Herschel converter, but I suspect that the Snark can significantly shrink most signal-converter technology.

About the only untouched corner of Life signal circuitry will be self-constructing circuits -- at least until someone comes up with a really efficient glider construction of (some variant of) that still life...?

In any case: heartiest congratulations! It has taken an impressive amount of thimbles and care and forks and hope, not to mention railway-shares, to get to this point -- and it will take quite a bit more time even to scratch the surface of what these Snarks can do.

igblan
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Re: Just the place for a Snark!

Post by igblan » April 25th, 2013, 11:38 pm

Here's a truly ugly G->H converter, based on the old G->B6+R converter, using the new reflector.

Code: Select all

x = 99, y = 75, rule = B3/S23
17boo$17boo3$15boo$15boo$bboo$3bo74bo$3bobo70b3o$4boo69bo$oo73boo$oo7$
13boo$13boo29boo$44boo51bo$96bobo$96bobo$33bo63bo$32bobo$32boo$boo38b
oo32boo$obo38bo20boo11boo$bbo39bo20bo$41boo17b3o$6boo52bo$6boo21$47bo$
47b3o$50bo$49boo7$59boo$52boo5bobo$52boo7bo$61boo$$48bo$47boboboo$47bo
bobobo$46boobobobobbo$47bobboob4o$47bo4bo$48b3obobboo$50boo3boo!
Unfortunately, the smaller G->B6+H converter used in the Silver reflector yields a glider of the wrong colour from an additional F117.

Cheers, Paul

knightlife
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Re: Just the place for a Snark!

Post by knightlife » April 26th, 2013, 4:42 am

Congratulations! Pattern of the year!

Code: Select all

x = 34, y = 32, rule = B3/S23
9bo$10bo$8b3o13$14b2o$14b2o16b2o$32b2o5$2o$2o25b2o$27b2o6$31b2o$31b2o!
Darn! Those 5 blocks didn't return to their original locations :(

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dvgrn
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Re: Just the place for a Snark!

Post by dvgrn » April 26th, 2013, 8:18 am

igblan wrote:Here's a truly ugly G->H converter, based on the old G->B6+R converter, using the new reflector...
Unfortunately, the smaller G->B6+H converter used in the Silver reflector yields a glider of the wrong colour from an additional F117.
You can bring a glider around to the other side of the G->B6+R, but that won't set any records:

Code: Select all

#C glider-to-Herschel converter, 98x68 with 649-tick recovery
x = 228, y = 219, rule = B3/S23
obo$b2o$bo149$160b2o$160b2o$198bo$196b3o$195bo$195b2o$186b2o$186bobo
37bo$187bo37bobo$225bobo$226bo$164bo33b2o15bo$162bobo2b2o29b2o15bo$
163b2o2b2o46b3o$217bo6$154b2o$154b2o$134bo23b2o$132b5o14b2o4bobo$131bo
5bo13bo5bo$131bo2b3o12bobo4b2o$130b2obo15b2o18b2o$130bo2b4o32b2o$131b
2o3bo3b2o$133b3o4b2o$133bo37b2o$130b2obo37b2o$130b2ob2o3$141b2o$142bo$
139b3o$139bo7$170bo$170b3o$173bo$172b2o7$182b2o$175b2o5bobo$175b2o7bo$
184b2o2$171bo$170bobob2o$170bobobobo$169b2obobobo2bo$170bo2b2ob4o$170b
o4bo$171b3obo2b2o$173b2o3b2o!
It doesn't help to add an F166 or Lx200 to a G->B6+H, either -- and the first output from a G->B6+H is also the wrong color, naturally. Otherwise you could use three Snarks in a tight loop, like this:

Code: Select all

#C alternate reflection, 85x83 but with 751-tick recovery
x = 85, y = 83, rule = B3/S23
48b2o3b2o$48b2o2bob3o$52bo4bo$48b4ob2o2bo$48bo2bobobob2o$51bobobobo$
52b2obobo$56bo2$42b2o$43bo7b2o$43bobo5b2o$44b2o4$75bo$73b3o$72bo$54b2o
16b2o$54bo$55b3o$34bo22bo22b2ob2o$32b5o14b2o28bob2o$31bo5bo13bo29bo$
31bo2b3o12bobo21b2o4b3o$17b2o11b2obo15b2o22b2o3bo3b2o$17b2o11bo2b4o41b
4o2bo$31b2o3bo3b2o22b2o15bob2o$33b3o4b2o21bobo12b3o2bo$15b2o16bo29bo
13bo5bo$15b2o13b2obo28b2o14b5o$2b2o26b2ob2o$3bo74b3o$3bobo70b3o2bo$4b
2o35b2o32bo4b2o$2o40bo32b2o$2o37b3o$39bo5$63bo$9b2o2b2o46b3o$8bobo2b2o
29b2o15bo$10bo33b2o15bo$72bo$71bobo$33bo37bobo$32bobo37bo$32b2o$41b2o$
41bo$39bobo$39b2o$6b2o$6b2o3$29bo$29b3o$32bo$31b2o7$41b2o$34b2o5bobo$
34b2o7bo$43b2o2$30bo$29bobob2o$29bobobobo$28b2obobobo2bo$29bo2b2ob4o$
29bo4bo$30b3obo2b2o$32b2o3b2o!
At least there's the option of a quick 180-degree output from this one.

Anyway, lots of other cleanup options to try; there's a large accumulation of frustratingly-close-to-working converters out there that just need a spare glider bounced in from somewhere. I'm particularly interested in seeing how much Herschel-to-spaceship and spaceship-to-Herschel converters can be reduced --!

Edit: Calcyman has pointed out that G->B6+H + L156 is much faster than known G-to-H converters, at 386 ticks (left, below). On the right is G->B6+R + R64, which needs only one Snark and is mostly made out of blocks -- but its recovery time is 605 ticks.

Code: Select all

x = 225, y = 91, rule = B3/S23
44b2o$43bo2bo$44b2o8$49b2o$49bo$47b3o$178b2o3b2o$176b3obo2b2o$175bo4bo
$175bo2b2ob4o$174b2obobobo2bo$175bobobobo$175bobob2o$176bo2$189b2o$
180b2o7bo$180b2o5bobo$187b2o3$47b2o$38b2o7b2o$39bo$39bobo$40b2o135b2o$
56b2o120bo$56bo118b3o$54bobo118bo$54b2o2$39bo$39b3o$30bo11bo$4bo9bo15b
3o8b2o14bo154b2o$4b3o5b3o18bo22bobo89b2o62b2o5b2o$7bo3bo20b2o23bo90b2o
69b2o$6b2o3b2o173bo$62bo121b3o$60b3o120bo33b2o$59bo123b2o32b2o$59b2o
113b2o47b2o$7bo166bobo46b2o$8bo166bo$6b3o58b2ob2o$20b2o46bob2o$20b2o
23b2o21bo83bo33b2o$8b2o35bo14b2o4b3o81bobo2b2o29b2o$7bo2bo35b3o11b2o3b
o3b2o80b2o2b2o$2b2o4b2o38bo16b4o2bo$bobo47b2o15bob2o$bo48bobo12b3o2bo$
2o48bo13bo5bo$10b2o37b2o14b5o$10bo56bo$11b3o128b2o$13bo128b2o71b3o$
146b2o67bo$145bobo66b2o$145bo$144b2o$37bo119b2o$37b3o117b2o$40bo$39b2o
$159b2o$159b2o58b2o$218bo2bo$219b2o3$49b2o$42b2o5bobo$42b2o7bo$51b2o2$
38bo$37bobob2o$37bobobobo$36b2obobobo2bo$37bo2b2ob4o$37bo4bo$38b3obo2b
2o$40b2o3b2o!

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DivusIulius
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Re: Just the place for a Snark!

Post by DivusIulius » April 26th, 2013, 11:16 am

*gives a slow, heartfelt clap of approval* :wink:

igblan
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Re: Just the place for a Snark!

Post by igblan » April 26th, 2013, 11:17 am

Adding two boat reflectors and a block permits the easy destruction of the Snark by a single glider. The block can be removed to allow the escaping glider to start further destruction elsewhere in a larger pattern.

Code: Select all

x = 63, y = 57, rule = B3/S23
bo$2bo$3o20$38bo$37bobo$37b2o21bo$60bobo$60b2o9$57b2o$57bobo$33bo24bo$
33b3o$36bo$35b2o3$24b2ob2o$24b2obo$27bo$27b3o4b2o$25b2o3bo3b2o$24bo2b
4o$24b2obo15b2o$25bo2b3o12bobo$25bo5bo13bo$26b5o14b2o$28bo2$20b2o$20b
2o!
Construction is another matter...

Cheers, Paul

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pcallahan
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Re: Just the place for a Snark!

Post by pcallahan » April 26th, 2013, 1:18 pm

Woohoo! Congratulations! This is the most exciting result I've seen in a long time. And it's not only small enough to enter by hand, it's probably small enough to memorize with a little effort.

I'd like a link to send to people who are less involved in Game of Life and don't have something like Golly installed. If I were still maintaining my web page, I'd just add a link to run in the applet, but is there any more recent alternative? (other than YouTube, though that's one option).

One question that comes to mind is whether the big catalyst has a glider synthesis. If so, it could be used in puffers, but it would also prove the "naturalness" of this reflector.

Another more immediate question is whether it is possible to tickle an extra glider out of this. I sort of doubt it, but it might be worth trying.

skomick
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Joined: February 11th, 2011, 11:41 pm

Re: Just the place for a Snark!

Post by skomick » April 26th, 2013, 7:08 pm

I'm a bit of an amateur at glider circuitry and what-not, but below is my first attempt at a true p59 glider gun based on the one by Adam P. Goucher with Jason Summers using the new Snark. It's still pretty big but over 14 times smaller than the original. Further optimization is inevitable:

Code: Select all

x = 946, y = 906, rule = B3/S23
192b2o3b2o$192b2o2bob3o$196bo4bo$192b4ob2o2bo$192bo2bobobob2o$195bobob
obo$196b2obobo$200bo2$186b2o7b3o$187bo6bo3bo$187bobo4bo3bo$188b2o2b2o
5b2o$191bo4bo4bo$191bo3bobo3bo$191bo4bob2obo$192b3o2$182b2o$183bo14b2o
$183bobo12bo$184b2o13b3o$201bo3$191b2o7b2o$182bo7bob2o6bo12bobo$182b2o
6bobo5bobo13b2o$177bo13bo6b2o14bo$177b3o$180bo$179b2o$194b3o$191bobo$
191b3ob2o$191bo5$229bo$230bo$182b8o10b2o26b3o$51bo118b2o10bob4obo10b2o
$51b3o116b2o10b8o$54bo120bo$53b2o120b2o$174bobo16b3o$56b2o135bo$56bobo
135bo$56bo$180bo$175b2ob3o$178bobo$175b3o$191b2o50bo$191bo52b2o$192b3o
48b2o$172b2o6bo13bo$171bobo5bobo6b2o$160b2o9bo6b2obo7bo$159bobo8b2o7b
2o28bo$161bo46b2o$71b2o135bobo$70b2o$72bo113b2o$186bobo$188bo$188b2o$
142b2o128bo$143bo115bo10b3o$143bobo111bobo9bo$144b2o112b2o9b2o3$170bo
106b2ob2o$151b2o7b2o8bobo50b2o53bob2o$142bo7bob2o6bo9b2o51bobo45bo6bo$
85b3o54b2o6bobo5bobo62bo46bo6b2o$85bo51bo13bo6b2o110b2o3b2o2b2o$86bo
50b3o135b2obo2bo$140bo120b2o15bob2o75b2o3b2o$139b2o119bobo12b3o2bo74b
3obo2b2o$154b3o103bo13bo5bo73bo4bo$151bobo105b2o5bobo6b5o74bo2b2ob4o$
151b3ob2o109b2o9bo75b2obobo4bo$151bo115bo86bobo3bo$354bo5bo$355b2o$
358bobo$155bobo202bo7b2o$155b2o81b2o116bo2b2o7bo$101bo54bo80b2o8bo118b
obo$100b2o40b8o10b2o77bo7b3o104bo3bo7b2o$100bobo27b2o10bob4obo10b2o88b
o102bo4bo$130b2o10b8o99b2o102b3o3$136b3o113bo$138bo112bo120b2o$137bo
113b3o102b2o14bo$357bo12bobo$151bo107b2o93b3o13b2o$151b3ob2o95b2o5bobo
92bo$151bobo98b2o7bo100b3o$154b3o104b2o98bo3bo$139b2o213b2o4bo5bo$115b
2o23bo107bo106bo4bo5bo5b2o$115bobo19b3o107bobob2o87bo14bobo2bo5bo5b2o$
115bo21bo13bo6b2o87bobobobo84b2o16b2o3bo3bo12bo432b2o3b2o$142b2o6bobo
5bobo85b2obobobo2bo82b2o21b3o11b3o432b2o2bob3o$142bo7bob2o6bo86bo2b2ob
4o104b2o12bo439bo4bo$122bo28b2o7b2o85bo4bo107b4o11b2o20b2o3b2o407b4ob
2o2bo$122b2o124b3obo2b2o140b2o2bob3o405bo2bobobob2o$121bobo126b2o3b2o
104bobo37bo4bo407bobobobo$361bobo33b4ob2o2bo408b2obobo$144b2o219b2o30b
o2bobobob2o411bo$143bobo255bobo2bo$143bo260bobo398b2o7b3o$142b2o170bo
86bo3bo400bo6bo3bo$314b3o84bo404bobo4bo3bo$317bo73b2o6b2o406b2o2b2o5b
2o$130b2o184b2o47b2o6b2o17bo7b2o408bo4bo4bo$129b2o193bo39bo2bo4bo2bo8b
2o6bobo6bo408bo3bobo3bo$131bo192bobo27b2o7b6o2b6o7b2o7b2o415bo4bob2obo
$305b2ob2o14b2o28b2o4b2o2bo2bo4bo2b2o28bobo403b3o$161bo143b2obo52b2o2b
2o6b3obo28b2o$107b2o50bobo146bo51bo14b2obo27bo394b2o$106bobo51b2o146b
3o4b2o59bo425bo14b2o$108bo197b2o3bo3b2o485bobo12bo$305bo2b4o491b2o13b
3o$305b2obo15b2o77b2o415bo$306bo2b3o12bobo38b2o36bo$306bo5bo13bo34bobo
40b3o$307b5o14b2o33bobo28b2o12bo403b2o7b2o$309bo81bobo407bo7bob2o6bo
12bobo$360b4o11b2o16bo407b2o6bobo5bobo13b2o$144b3o174bobo37b2o12bo420b
o13bo6b2o14bo$144bo177b2o38b3o11b3o417b3o$145bo176bo33b2o3bo3bo12bo42b
o377bo$345b3o7bobo2bo5bo5b2o48bo375b2o$174bobo170bo7bo4bo5bo5b2o17b2o
27b3o390b3o$92b2o81b2o169bo7b2o4bo5bo23b2o418bobo$93b2o80bo185bo3bo26b
o417b3ob2o$92bo269b3o445bo2$370b2o$370bobo$372bo$372b2o3b2o469bo$378b
2o469bo$160bo176bo39bo423b8o10b2o26b3o$159b2o177bo450b2o10bob4obo10b2o
$159bobo174b3o450b2o10b8o$331bo103bo358bo$190bo140b2o103b2o356b2o$191b
o138bobo72b3o27b2o356bobo16b3o$77b3o109b3o161bo51bo406bo$79bo272bo53bo
406bo$78bo273b3o$799bo$794b2ob3o$797bobo$794b3o$362b3o445b2o50bo$364bo
445bo52b2o$174b2o175bo11bo447b3o48b2o$174bobo175b2o437b2o6bo13bo$174bo
176b2o437bobo5bobo6b2o$316b2o133bo327b2o9bo6b2obo7bo$204bo110bobo103bo
27bobo326bobo8b2o7b2o28bo$63bo141b2o110bo102b2o28b2o328bo46b2o$63b2o
139b2o133bo80bobo404bobo$62bobo272b2o$338b2o21b2o442b2o$361b2o442bobo$
807bo$807b2o$474bo416bo$472b3o403bo10b3o$471bo404bobo9bo$189b2o160b2o
118b2o404b2o9b2o$188b2o162b2o$190bo160bo11bo$301b2o61bo99bobo12b2ob2o
280b2o23bo106b2ob2o$220bo81b2o58b3o70b2o28b2o13bob2o281b2o22bobo50b2o
53bob2o$48b2o168bobo80bo133bobo27bo14bo283bo24b2o51bobo45bo6bo$47bobo
169b2o102bo111bo36b2o4b3o361bo46bo6b2o$49bo273bobo146b2o3bo3b2o406b2o
3b2o2b2o$323b2o152b4o2bo410b2obo2bo$463b2o15bob2o396b2o15bob2o$462bobo
12b3o2bo396bobo12b3o2bo$462bo13bo5bo396bo13bo5bo$461b2o14b5o396b2o5bob
o6b5o$479bo405b2o9bo$886bo$203b3o130b3o115bo$55b2o3b2o141bo134bo115b3o
7bo$53b3obo2b2o142bo132bo39bo79bo5bo$52bo4bo228b3o89b2o76b2o5b3o283b3o
22bobo$52bo2b2ob4o171bobo52bo88b2o71b2o299bo22b2o81b2o$33b2o16b2obobob
o2bo172b2o51bo161b2o299bo24bo80b2o8bo$34b2o16bobobobo175bo73bobo140bo
406bo7b3o$33bo18bobob2o250b2o559bo$53bo255bo558b2o2$66b2o398b2o$57b2o
7bo392b2o5bobo402bo$57b2o5bobo392b2o7bo401bo$64b2o201b2o199b2o400b3o$
219bo48bo53bo$218b2o48bobo51b2o131bo422b2o$218bobo48b2o50bobo130bobob
2o411b2o5bobo$393bo60bobobobo274bo24bo25b2o3b2o78b2o7bo$59b3o187bo26b
3o112bobo59b2obobobo2bo271b2o22bo26b2o2bob3o85b2o$47bo11bo190bo24bo3bo
112b2o60bo2b2ob4o270bobo22b3o28bo4bo$18b3o24b2o7b2o4bo187b3o23bo5bo4b
2o7bo159bo4bo326b4ob2o2bo71bo$20bo25b2o7bo211b2o5bo5bo4bo7bo161b3obo2b
2o322bo2bobobob2o69bobob2o$19bo32b3o212b2o5bo5bo2bobo7b3o161b2o3b2o
325bobobobo70bobobobo$52bo209bo12bo3bo3b2o505b2obobo69b2obobobo2bo$
262b3o11b3o515bo71bo2b2ob4o$4bo260bo12b2o586bo4bo$2b5o14b2o241b2o11b4o
499b2o85b3obo2b2o$bo5bo13bo759bo7b2o78b2o3b2o$bo2b3o12bobo255bobo501bo
bo5b2o$2obo15b2o212b2o42bobo27b2o473b2o$o2b4o226bobo38b2o30bobo$b2o3bo
3b2o11bo209bo74bo$3b3o4b2o11b3o49bo330bobo311b2o24bo$3bo14bo7bo47b2o
187bo143b2o310bobo22b2o$2obo13b2o6b2o4bo42bobo187b2o141bo313bo23b2o53b
o$2ob2o12bobo11bobo229b3o14bo495b2o7b2o11bobo$31b2o231b4o6b2o2b2o497bo
8b2o4b2o5b2o$255b2o8bo2bo4bo2bo2b2o4b2o490bobo5bo6bo$11b2o242b2o7b6o2b
6o7b2o491b2o13b3o$12bo252bo2bo4bo2bo518bo$9b3o254b2o6b2o$9bo25b2o$28b
2o5bobo743bobo10b2o$28b2o7bo738b2o4bo11bo$37b2o209b2o42b2o482b2o14bobo
$247b2o44b2o476bo20b2o$24bo224bo16b2o6b2o16bo129bo348b3o$23bobob2o60b
2o171bobo12bobo143bo281b2o23bo43bo$23bobobobo59bobo170bobo12bobo141b3o
282b2o22bobo40b2o$22b2obobobo2bo56bo615bo24b2o81bobo$23bo2b2ob4o228b4o
12b4o533b2o$23bo4bo233b2o14b2o534bo$24b3obo2b2o230b3o10b3o$26b2o3b2o
229bo3bo8bo3bo$261bo5bo6bo5bo495bo6bo$261bo5bo6bo5bo494b3o4b3o$261bo5b
o6bo5bo493bo2b2o2b2o2bo$262bo3bo8bo3bo494b3obo2bob3o$263b3o10b3o493b2o
bob2o2b2obob2o$771bo2bo10bo2bo5b2o$764b2o4b6o8b6o4b2o$436bo327b2o5bo2b
o10bo2bo$104b2o331b2o251b3o22bobo54b2obob2o2b2obob2o$103b2o178b2o151b
2o254bo22b2o57b3obo2bob3o43bo$105bo177bobo405bo24bo57bo2b2o2b2o2bo44bo
$283bo491b3o4b3o43b3o$776bo6bo$263b3o10b3o$262bo3bo8bo3bo$261bo5bo6bo
5bo$261bo5bo6bo5bo$261bo5bo6bo5bo479b2o$262bo3bo8bo3bo479bobo23b2o10bo
$263b3o10b3o482bo23bo10b2o$262b2o14b2o506b3o7bobo$261b4o12b4o485b2o20b
o$452bo223bo24bo63bobo14b2o$118b3o141bobo12bobo170bobo223b2o22bo64bo
11bo4b2o$118bo143bobo12bobo18b2o151b2o222bobo22b3o61b2o10bobo64bo$119b
o129bo16b2o6b2o16bo4b2o545b2o$247b2o44b2o4bo543b2o$248b2o42b2o$780b2o$
774bo5bobo$772b2o8bo$266b2o6b2o497b2o7b2o$265bo2bo4bo2bo468b2o119bo$
255b2o7b6o2b6o7b2o459b2o63b2o51b3o$255b2o4b2o2bo2bo4bo2bo8b2o458bo65bo
bo49bo$262b2o2b2o6b4o533bo51b2o$261bo14b3o$134bo141b2o187bobo193b2o24b
o$133b2o143bo187b2o192bobo22b2o184b2ob2o$133bobo176b3o151bo195bo23b2o
171bo12bob2o$233bo74bo3bo544bobo12bo$233bobo30b2o38bobo4bo544b2o4b2o4b
3o$233b2o27bobo42b2o240b2o3b2o308b2o3bo3b2o$262bobo284b2o2bob3o311b4o
2bo$553bo4bo199bo96b2o15bob2o$261b4o11b2o271b4ob2o2bo199bobo93bobo12b
3o2bo$262b2o12bo272bo2bobobob2o198b2o94bo13bo5bo$263b3o11b3o272bobobob
o171b3o120b2o14b5o$257b2o3bo3bo12bo273b2obobo173bo93b2o43bo$78b2o3b2o
161b3o7bobo2bo5bo5b2o282bo173bo93b2o$78b2o2bob3o161bo7bo4bo5bo5b2o552b
o$82bo4bo159bo7b2o4bo5bo23b3o187bo61b2o$78b4ob2o2bo60b2o112bo3bo24bo
190bo61bo7b2o92b2o23bo$78bo2bobobob2o59bobo112b3o26bo35bo151b3o61bobo
4bo2bo92b2o22bobo180bobo$81bobobobo60bo178b2o216b2o25bo73bo24b2o181b2o
$82b2obobo130bobo50b2o48bobo3bobo224bo15b3o268bo13bo$86bo131b2o51bobo
48b2o230b2o13bo271b3o$219bo53bo48bo230bo15b2o273bo$72b2o199b2o568b2o$
73bo7b2o660bobo$73bobo5b2o494b2ob2o161b2o$74b2o479b2o21bob2o134bo27bo$
555bo22bo137b2o$232bo323b3o11b2o4b3o136bobo122b3o$232b2o324bo8bo2b2o3b
o3b2o259bo4bo$90bo140bobo73bo258b3o6b4o2bo259bo3bo7b2o$91b2o161bo51b2o
187bo65b2o4b2o9bob2o271bobo$90b2o71b2o88bo52bobo187b2o62bobo12b3o2bo
50b3o22bobo184bo2b2o7bo$76b3o5b2o76b2o89b3o86b2o151b2o63bo13bo5bo52bo
22b2o189bo7b2o$78bo5bo79bo39bo132bo4bobo214b2o14b5o52bo24bo187bobo$77b
o7b3o115bo134bo3bo195b3o36bo264b2o$87bo115b3o130b3o201bo300bo5bo$539bo
301bobo3bo$62bo666bo37b2o3b2o66b2obobo4bo$60b5o14b2o647bo38b2o2bob3o
65bo2b2ob4o$59bo5bo13bo648b3o40bo4bo64bo4bo$59bo2b3o12bobo621b2o64b4ob
2o2bo65b3obo2b2o$58b2obo15b2o621bobo64bo2bobobob2o66b2o3b2o$58bo2b4o
152b2o338bobo142bo67bobobobo$59b2o3bo3b2o146bobo338b2o212b2obobo$61b3o
4b2o36bo111bo102b2o198bo36bo216bo$61bo14bo27bobo133bo80bobo187bo7b3o
95bo24bo$58b2obo13b2o28b2o70b3o58b2o81bo187bobo6bo98b2o22bo119b2o$58b
2ob2o12bobo99bo61b2o116b2o151b2o6b2o96bobo22b3o118bo7b2o$178bo11bo160b
o4b2o166bo237bobo5b2o$188b2o162b2o4bo165b2o237b2o$69b2o118b2o160b2o
170bobo$70bo$67b3o645bo$67bo645b2o$508b2o204b2o65bo$507bobo5b2o169b2o
69b2o7b2o11bobo$179b2o326bo7b2o26bo143b2o69bo8b2o4b2o5b2o$179b2o21b2o
302b2o34bo143bo71bobo5bo6bo$203b2o337b3o214b2o13b3o$119bobo80bo133b2o
7b2o173bo255bo$90b2o28b2o102bo110b2o8bo170b2obobo80b2o24bo$90bobo27bo
103bobo110bo5bobo169bobobobo79bobo22b2o$90bo133b2o117b2o26b3o138bo2bob
obob2o80bo23b2o133bobo10b2o$189b2o176bo3bo140b4ob2o2bo235b2o4bo11bo$
188b2o175bobo4bo143bo4bo235b2o14bobo$178bo11bo175b2o144b2o2bob3o231bo
20b2o$177bo149b2o10bobo170b2o3b2o233b3o$177b3o148bo11bo4b2o352bo55bo$
328bobo14b2o352bobo52b2o$329b2o20bo347b2o93bobo$349b3o319b3o121b2o$
348bo180bo143bo121bo$187b3o158b2o177b2o143bo$135bo53bo338b2o$136bo51bo
568bo6bo$105b2o27b3o72bobo375b2o23bo143b3o4b3o$104b2o103b2o176bo200b2o
22bobo140bo2b2o2b2o2bo$106bo103bo175b2o199bo24b2o141b3obo2bob3o$203b3o
133bo6bo33bobo3bobo364b2obob2o2b2obob2o$203bo134b3o4b3o33b2o369bo2bo
10bo2bo5b2o$164bo39bo132bo2b2o2b2o2bo32bo363b2o4b6o8b6o4b2o$162b2o173b
3obo2bob3o396b2o5bo2bo10bo2bo$163b2o3b2o165b2obob2o2b2obob2o333bobo66b
2obob2o2b2obob2o$169bo164bo2bo10bo2bo5b2o325b2o69b3obo2bob3o43bo$169bo
bo155b2o4b6o8b6o4b2o298bo27bo69bo2b2o2b2o2bo44bo$170b2o155b2o5bo2bo10b
o2bo305b2o97b3o4b3o43b3o$335b2obob2o2b2obob2o162bo142bobo98bo6bo$177b
3o157b3obo2bob3o164bobo$149bo26bo3bo156bo2b2o2b2o2bo164b2o$150b2o23bo
5bo4b2o7bo142b3o4b3o$119b3o27b2o17b2o5bo5bo4bo7bo144bo6bo225b3o22bobo$
119bo48b2o5bo5bo2bobo7b3o204b2o171bo22b2o142b2o$120bo42bo12bo3bo3b2o
33bo176bo4bobo169bo24bo141bobo23b2o10bo$163b3o11b3o38b2o177bo3bo340bo
23bo10b2o$166bo12b2o37bobo174b3o369b3o7bobo$148bo16b2o11b4o141b2o36b2o
384b2o20bo$148bobo81bo89bobo23b2o11bobo306bo75bobo14b2o$135bo12b2o28bo
bo33b2o14b5o89bo23bo12bo307bo76bo11bo4b2o$135b3o40bobo34bo13bo5bo113b
3o317b3o73b2o10bobo64bo$138bo36b2o38bobo12b3o2bo93b2o20bo290b2o181b2o$
137b2o77b2o15bob2o91bobo14b2o294bobo180b2o$230b4o2bo91bo11bo4b2o151bob
o142bo$225b2o3bo3b2o91b2o10bobo156b2o261b2o$165bo59b2o4b3o265bo255bo5b
obo$135bo27bob2o14bo51bo324bo24bo169b2o8bo$134b2o28bob3o6b2o2b2o52bob
2o321b2o22bo171b2o7b2o$134bobo28b2o2bo4bo2bo2b2o4b2o28b2o14b2ob2o106b
2o71b2o139bobo22b3o141b2o119bo$147b2o7b2o7b6o2b6o7b2o27bobo119bo5bobo
64bo4b2o310b2o63b2o51b3o$140bo6bobo6b2o8bo2bo4bo2bo39bo117b2o8bo65b2o
4bo308bo65bobo49bo$140b2o7bo17b2o6b2o47b2o110b2o7b2o63b2o380bo51b2o$
141b2o6b2o73bo83b2o66b2o7b2o$140bo84b3o81b2o64b2o8bo270bo$136bo3bo86bo
80bo68bo5bobo268b2o196b2ob2o$135bobo245b2o270b2o183bo12bob2o$135bo2bob
o486b2o209bobo12bo$134b2obobobo2bo30b2o307bo143b2o209b2o4b2o4b3o$135bo
2b2ob4o33bobo302bo143bo217b2o3bo3b2o$135bo4bo37bobo186b2o10bobo101b3o
364b4o2bo$136b3obo2b2o223bo11bo4b2o352bo96b2o15bob2o$138b2o3b2o20b2o
11b4o186bobo14b2o156b2o24bo169bobo93bobo12b3o2bo$166bo12b2o188b2o20bo
150bobo22b2o170b2o94bo13bo5bo$163b3o11b3o21b2o186b3o38b3o111bo23b2o
141b3o120b2o14b5o$163bo12bo3bo3b2o16b2o117bo66bo37bo3bo282bo93b2o43bo$
168b2o5bo5bo2bobo14bo119bobo64b2o34bobo4bo280bo93b2o$168b2o5bo5bo4bo
134b2o102b2o381bo$175bo5bo4b2o105b3o$176bo3bo114bo344bo$177b3o114bo
345bobo192bobo$187bo337b2o113b2o193b2o$170b2o13b3o191bo6bo139bo85b3o
207bo13bo$169bobo12bo193b3o4b3o82bo55bobo85bo207b3o$169bo14b2o191bo2b
2o2b2o2bo79b2o57b2o84bo211bo$168b2o207b3obo2bob3o80b2o353b2o$375b2obob
2o2b2obob2o333bobo$374bo2bo10bo2bo5b2o154bo170b2o$367b2o4b6o8b6o4b2o
47bo87b2o7b2o8bobo141bo27bo$186b3o178b2o5bo2bo10bo2bo53b2o78bo7bob2o6b
o9b2o142b2o$183bo4bo117bobo66b2obob2o2b2obob2o48bobo3bobo77b2o6bobo5bo
bo152bobo122b3o$174b2o7bo3bo118b2o69b3obo2bob3o51b2o78bo13bo6b2o278bo
4bo$173bobo103bo27bo69bo2b2o2b2o2bo51bo79b3o299bo3bo7b2o$173bo7b2o2bo
93b2o97b3o4b3o135bo310bobo$172b2o7bo96bobo98bo6bo135b2o101bobo196bo2b
2o7bo$181bobo353b3o85b2o201bo7b2o$185b2o347bobo61bo27bo199bobo$181bo5b
o346b3ob2o58b2o223b2o$181bo3bobo266bo79bo62bobo222bo5bo$178bo4bobob2o
174b2o36b2o51bobo365bobo3bo$178b4ob2o2bo174bobo23b2o11bobo50b2o254bo
110b2obobo4bo$182bo4bo176bo23bo12bo307bo112bo2b2ob4o$178b2o2bob3o202b
3o146bobo168b3o110bo4bo$178b2o3b2o184b2o20bo68b2o76b2o142b2o139b3obo2b
2o$292bo75bobo14b2o68bo4bobo76bo141bobo141b2o3b2o$291bo76bo11bo4b2o69b
o3bo64b8o10b2o138bo$291b3o73b2o10bobo72b3o56b2o10bob4obo10b2o$264b2o
247b2o10b8o$263bobo153b2o190bo$265bo153bo190bo$383b2o32bobo99b3o88b3o$
377bo5bobo31b2o102bo61b2o$375b2o8bo134bo61bobo$376b2o7b2o52bobo142bo$
348b2o89b2o93bo$349b2o50b2o7b2o28bo93b3ob2o156bo$348bo53bo6b2obo7bo
113bobo157b2o$402bobo5bobo6b2o116b3o155b2o$403b2o6bo13bo49b2o45b2o143b
2o$278bo144b3o43bo4b2o47bo144b2o$276b2o144bo47b2o4bo43b3o144bo$277b2o
143b2o45b2o49bo13bo6b2o$249b2o155b3o116b2o6bobo5bobo$250b2o157bobo113b
o7bob2o6bo53bo$249bo156b2ob3o93bo28b2o7b2o50b2o$411bo93b2o89b2o$361bo
142bobo52b2o7b2o$361bobo61bo134bo8b2o$361b2o61bo102b2o31bobo5bo$333b3o
88b3o99bobo32b2o$335bo190bo153bo$334bo190b2o153bobo$413b8o10b2o247b2o$
401b2o10bob4obo10b2o56b3o72bobo10b2o73b3o$262bo138b2o10b8o64bo3bo69b2o
4bo11bo76bo$114b2o3b2o141bobo141bo76bobo4bo68b2o14bobo75bo$114b2o2bob
3o139b2o142b2o76b2o68bo20b2o184b2o3b2o$118bo4bo110b3o168bobo146b3o202b
3obo2b2o$114b4ob2o2bo112bo307bo12bo23bo176bo4bo$114bo4bobob2o110bo254b
2o50bobo11b2o23bobo174bo2b2ob4o$117bo3bobo365bobo51b2o36b2o174b2obobo
4bo$117bo5bo222bobo62bo79bo266bobo3bo$121b2o223b2o58b2ob3o346bo5bo$
117bobo199bo27bo61bobo347b2o$108b2o7bo201b2o85b3o353bobo$109bo7b2o2bo
196bobo101b2o135bo6bo98bobo96bo7b2o$109bobo310bo135b3o4b3o97b2o93bo2b
2o7bo$110b2o7bo3bo299b3o79bo51bo2b2o2b2o2bo69bo27bo103bobo$119bo4bo
278b2o6bo13bo78b2o51b3obo2bob3o69b2o118bo3bo7b2o$122b3o122bobo152bobo
5bobo6b2o77bobo3bobo48b2obob2o2b2obob2o66bobo117bo4bo$247b2o142b2o9bo
6b2obo7bo78b2o53bo2bo10bo2bo5b2o178b3o$220bo27bo141bobo8b2o7b2o87bo47b
2o4b6o8b6o4b2o$220b2o170bo154b2o5bo2bo10bo2bo$219bobo333b2obob2o2b2obo
b2o$120b2o353b2o80b3obo2bob3o207b2o$120bo211bo84b2o57b2o79bo2b2o2b2o2b
o191b2o14bo$121b3o207bo85bobo55bo82b3o4b3o193bo12bobo$109bo13bo207b3o
85bo139bo6bo191b3o13b2o$109b2o193b2o113b2o337bo$108bobo192bobo345bo
114b3o$305bo344bo114bo3bo$650b3o105b2o4bo5bo$137bo381b2o102b2o134bo4bo
5bo5b2o$138b2o93bo280bo4bobo34b2o64bobo119bo14bobo2bo5bo5b2o$93bo43b2o
93bo282bo3bo37bo66bo117b2o16b2o3bo3bo12bo$91b5o14b2o120b3o141b2o23bo
111b3o38b3o186b2o21b3o11b3o$90bo5bo13bo94b2o170b2o22bobo150bo20b2o188b
2o12bo$90bo2b3o12bobo93bobo169bo24b2o156b2o14bobo186b4o11b2o20b2o3b2o$
89b2obo15b2o96bo352b2o4bo11bo223b2o2bob3o$89bo2b4o364b3o101bobo10b2o
186bobo37bo4bo$90b2o3bo3b2o217bo143bo302bobo33b4ob2o2bo$92b3o4b2o4b2o
209b2o143bo307b2o30bo2bobobob2o$92bo12bobo209b2o486bobo2bo$89b2obo12bo
183b2o270b2o245bobo$89b2ob2o196b2o268bobo5bo68bo80bo86bo3bo$289bo270bo
8b2o64b2o81b3o84bo$559b2o7b2o66b2o83bo73b2o6b2o$100b2o51bo380b2o63b2o
7b2o110b2o47b2o6b2o17bo7b2o$101bo49bobo65bo308bo4b2o65bo8b2o117bo39bo
2bo4bo2bo8b2o6bobo6bo$98b3o51b2o63b2o310b2o4bo64bobo5bo119bobo27b2o7b
6o2b6o7b2o7b2o$98bo119b2o141b3o22bobo139b2o71b2o106b2ob2o14b2o28b2o4b
2o2bo2bo4bo2b2o28bobo$181b2o7b2o171bo22b2o321b2obo52b2o2b2o6b3obo28b2o
$182bo8b2o169bo24bo324bo51bo14b2obo27bo$182bobo5bo255bo265b3o4b2o59bo$
183b2o261b2o156bobo10b2o91b2o3bo3b2o$302bo142bobo151b2o4bo11bo91bo2b4o
$120b2o180bobo294b2o14bobo91b2obo15b2o77b2o$119b2o181b2o290bo20b2o93bo
2b3o12bobo38b2o36bo$121bo64bobo10b2o73b3o317b3o113bo5bo13bo34bobo40b3o
$181b2o4bo11bo76bo307bo12bo23bo89b5o14b2o33bobo28b2o12bo$181b2o14bobo
75bo306bobo11b2o23bobo89bo81bobo$176bo20b2o384b2o36b2o141b4o11b2o16bo$
166bobo7b3o369b3o174bobo37b2o12bo$167b2o10bo23bo340bo3bo177b2o38b3o11b
3o$167bo10b2o23bobo141bo24bo169bobo4bo176bo33b2o3bo3bo12bo42bo$203b2o
142b2o22bo171b2o204b3o7bobo2bo5bo5b2o48bo$346bobo22b3o225bo6bo144bo7bo
4bo5bo5b2o17b2o27b3o$598b3o4b3o142bo7b2o4bo5bo23b2o$431b2o164bo2b2o2b
2o2bo156bo3bo26bo$430bobo164b3obo2bob3o157b3o$181bo6bo98bobo142bo162b
2obob2o2b2obob2o$134b3o43b3o4b3o97b2o305bo2bo10bo2bo5b2o155b2o$134bo
44bo2b2o2b2o2bo69bo27bo298b2o4b6o8b6o4b2o155bobo$135bo43b3obo2bob3o69b
2o325b2o5bo2bo10bo2bo164bo$177b2obob2o2b2obob2o66bobo333b2obob2o2b2obo
b2o165b2o3b2o$176bo2bo10bo2bo5b2o396b3obo2bob3o173b2o$169b2o4b6o8b6o4b
2o363bo32bo2b2o2b2o2bo132bo39bo$169b2o5bo2bo10bo2bo369b2o33b3o4b3o134b
o$177b2obob2o2b2obob2o364bobo3bobo33bo6bo133b3o$179b3obo2bob3o141b2o
24bo199b2o175bo103bo$179bo2b2o2b2o2bo140bobo22b2o200bo176b2o103b2o$
180b3o4b3o143bo23b2o375bobo72b3o27b2o$181bo6bo568bo51bo$416b2o338bo53b
o$273bo143b2o177b2o158b3o$150bo121bo143bo180bo$149b2o121b3o319b3o$149b
obo93b2o347bo20b2o$190b2o52bobo352b2o14bobo$190bo55bo352b2o4bo11bo148b
3o$191b3o233b2o3b2o170bobo10b2o149bo$171b2o20bo231b3obo2b2o144b2o175bo
11bo$170bobo14b2o235bo4bo143bo4bobo175b2o$170bo11bo4b2o235bo2b2ob4o
140bo3bo176b2o$169b2o10bobo133b2o23bo80b2obobobo2bo138b3o26b2o117b2o
133bo$318b2o22bobo79bobobobo169bobo5bo110bobo103bo27bobo$317bo24b2o80b
obob2o170bo8b2o110bo102b2o28b2o$169bo255bo173b2o7b2o133bo80bobo$169b3o
13b2o214b3o337b2o$172bo6bo5bobo71bo143bo34b2o302b2o21b2o$164b2o5b2o4b
2o8bo69b2o143bo26b2o7bo326b2o$164bobo11b2o7b2o69b2o169b2o5bobo$164bo
65b2o204b2o$231b2o645bo$230bo645b3o$875bo$420bobo170b2o160b2o118b2o$
181b2o237b2o165bo4b2o162b2o$174b2o5bobo237bo166b2o4bo160bo11bo$174b2o
7bo118b3o22bobo96b2o6b2o151b2o116b2o61bo99bobo12b2ob2o$183b2o119bo22b
2o98bo6bobo187bo81b2o58b3o70b2o28b2o13bob2o$303bo24bo95b3o7bo187bobo
80bo133bobo27bo14bo$170bo216bo36bo198b2o102bo111bo36b2o4b3o$169bobob2o
212b2o338bobo146b2o3bo3b2o$169bobobobo67bo142bobo338b2o152b4o2bo$95b2o
3b2o66b2obobobo2bo64bobo621b2o15bob2o$95b2o2bob3o65bo2b2ob4o64b2o621bo
bo12b3o2bo$99bo4bo64bo4bo40b3o648bo13bo5bo$95b4ob2o2bo65b3obo2b2o38bo
647b2o14b5o$95bo4bobob2o66b2o3b2o37bo666bo$98bo3bobo301bo$98bo5bo300bo
201b3o130b3o115bo$102b2o264bo36b3o195bo3bo134bo115b3o7bo$98bobo187bo
24bo52b5o14b2o214bobo4bo132bo39bo79bo5bo$89b2o7bo189b2o22bo52bo5bo13bo
63b2o151b2o86b3o89b2o76b2o5b3o$90bo7b2o2bo184bobo22b3o50bo2b3o12bobo
62b2o187bobo52bo88b2o71b2o$90bobo271b2obo9b2o4b2o65bo187b2o51bo161b2o$
91b2o7bo3bo259bo2b4o6b3o258bo73bobo140bo$100bo4bo259b2o3bo3b2o2bo8bo
324b2o$103b3o122bobo136b3o4b2o11b3o323bo$228b2o137bo22bo$201bo27bo134b
2obo21b2o479b2o$201b2o161b2ob2o494b2o5bobo$200bobo660b2o7bo$101b2o568b
2o199b2o$101bo273b2o15bo230bo48bo53bo$102b3o271bo13b2o230b2o48bobo51b
2o131bo$90bo13bo268b3o15bo224bobo3bobo48b2o50bobo130bobob2o$90b2o181b
2o24bo73bo25b2o216b2o178bo60bobobobo$89bobo180bobo22b2o92bo2bo4bobo61b
3o151bo35bo26b3o112bobo59b2obobobo2bo$274bo23b2o92b2o7bo61bo190bo24bo
3bo112b2o60bo2b2ob4o$401b2o61bo187b3o23bo5bo4b2o7bo159bo4bo$118bo552b
2o5bo5bo4bo7bo161b3obo2b2o$119b2o93bo173bo282b2o5bo5bo2bobo7b3o161b2o
3b2o$74bo43b2o93bo173bobob2o273bo12bo3bo3b2o$72b5o14b2o120b3o171bobobo
bo272b3o11b3o$71bo5bo13bo94b2o198b2obobobo2bo272bo12b2o$71bo2b3o12bobo
93bobo199bo2b2ob4o271b2o11b4o$70b2obo15b2o96bo199bo4bo$70bo2b4o311b3ob
o2b2o284bobo$71b2o3bo3b2o308b2o3b2o240b2o42bobo27b2o$73b3o4b2o4b2o544b
o4bobo38b2o30bobo$73bo12bobo544bo3bo74bo$70b2obo12bo171b2o23bo195bo
151b3o176bobo$70b2ob2o184b2o22bobo192b2o187bo143b2o$258bo24b2o193bobo
187b2o141bo$667b3o14bo$81b2o51bo533b4o6b2o2b2o$82bo49bobo65bo458b2o8bo
2bo4bo2bo2b2o4b2o$79b3o51b2o63b2o459b2o7b6o2b6o7b2o$79bo119b2o468bo2bo
4bo2bo$162b2o7b2o497b2o6b2o$163bo8b2o$163bobo5bo$164b2o$652b2o42b2o$
101b2o543bo4b2o44b2o$100b2o545b2o4bo16b2o6b2o16bo129bo$102bo64bobo10b
2o61b3o22bobo222b2o151b2o18bobo12bobo143bo$162b2o4bo11bo64bo22b2o223bo
bo170bobo12bobo141b3o$162b2o14bobo63bo24bo223bo$157bo20b2o485b4o12b4o$
147bobo7b3o506b2o14b2o$148b2o10bo23bo482b3o10b3o$148bo10b2o23bobo479bo
3bo8bo3bo$184b2o479bo5bo6bo5bo$665bo5bo6bo5bo$665bo5bo6bo5bo$666bo3bo
8bo3bo$667b3o10b3o$162bo6bo$115b3o43b3o4b3o491bo$115bo44bo2b2o2b2o2bo
57bo24bo405bobo177bo$116bo43b3obo2bob3o57b2o22bo254b2o151b2o178b2o$
158b2obob2o2b2obob2o54bobo22b3o251b2o331b2o$157bo2bo10bo2bo5b2o327bo$
150b2o4b6o8b6o4b2o$150b2o5bo2bo10bo2bo$158b2obob2o2b2obob2o493b3o10b3o
$160b3obo2bob3o494bo3bo8bo3bo$160bo2b2o2b2o2bo493bo5bo6bo5bo$161b3o4b
3o494bo5bo6bo5bo$162bo6bo495bo5bo6bo5bo$666bo3bo8bo3bo229b2o3b2o$667b
3o10b3o230b2o2bob3o$131bo534b2o14b2o233bo4bo$130b2o533b4o12b4o228b4ob
2o2bo$130bobo81b2o24bo615bo56bo2bobobob2o$171b2o40bobo22b2o282b3o141bo
bo12bobo170bobo59bobobobo$171bo43bo23b2o281bo143bobo12bobo171b2o60b2ob
obo$172b3o348bo129bo16b2o6b2o16bo224bo$152b2o20bo476b2o44b2o$151bobo
14b2o482b2o42b2o209b2o$151bo11bo4b2o738bo7b2o$150b2o10bobo743bobo5b2o$
909b2o25bo$670b2o6b2o254b3o$150bo518bo2bo4bo2bo252bo$150b3o13b2o491b2o
7b6o2b6o7b2o242b2o$153bo6bo5bobo490b2o4b2o2bo2bo4bo2bo8b2o$145b2o5b2o
4b2o8bo497b2o2b2o6b4o231b2o$145bobo11b2o7b2o495bo14b3o229bobo11bobo12b
2ob2o$145bo53b2o23bo313bo141b2o187bobo42bo4b2o6b2o13bob2o$200b2o22bobo
310b2o143bo187b2o47bo7bo14bo$199bo24b2o311bobo330bo49b3o11b2o4b3o$637b
o74bo209bo11b2o3bo3b2o$637bobo30b2o38bobo226b4o2bo$162b2o473b2o27bobo
42b2o212b2o15bob2o$155b2o5bobo501bobo255bobo12b3o2bo$70b2o3b2o78b2o7bo
759bo13bo5bo$70b2o2bob3o85b2o499b4o11b2o241b2o14b5o$74bo4bo586b2o12bo
260bo$70b4ob2o2bo71bo515b3o11b3o$70bo2bobobob2o69bobob2o505b2o3bo3bo
12bo209bo$73bobobobo70bobobobo325b2o3b2o161b3o7bobo2bo5bo5b2o212b3o32b
o$74b2obobo69b2obobobo2bo322b2o2bob3o161bo7bo4bo5bo5b2o211bo7b2o25bo$
78bo71bo2b2ob4o326bo4bo159bo7b2o4bo5bo23b3o187bo4b2o7b2o24b3o$150bo4bo
28b3o22bobo270b4ob2o2bo60b2o112bo3bo24bo190bo11bo$64b2o85b3obo2b2o26bo
22b2o271bo2bobobob2o59bobo112b3o26bo187b3o$65bo7b2o78b2o3b2o25bo24bo
274bobobobo60bo$65bobo5b2o411b2obobo130bobo50b2o48bobo$66b2o422bo131b
2o51bobo48b2o$623bo53bo48bo$73b3o400b2o199b2o201b2o$75bo401bo7b2o392bo
bo5b2o$74bo402bobo5b2o392bo7b2o$478b2o398b2o2$76b2o558bo255bo$76bo559b
2o250b2obobo18bo$77b3o7bo406bo140bobo73bo175bobobobo16b2o$79bo8b2o80bo
24bo299b2o161bo51b2o172bo2bobobob2o16b2o$87b2o81b2o22bo299b2o71b2o88bo
52bobo171b4ob2o2bo$169bobo22b3o283b3o5b2o76b2o89b3o228bo4bo$482bo5bo
79bo39bo132bo142b2o2bob3o$481bo7b3o115bo134bo141b2o3b2o$491bo115b3o
130b3o$59bo$49bo9b2o405bo$47b5o6bobo5b2o396b5o14b2o$46bo5bo13bo396bo5b
o13bo$46bo2b3o12bobo396bo2b3o12bobo$45b2obo15b2o396b2obo15b2o$45bo2bob
2o410bo2b4o152b2o$46b2o2b2o3b2o406b2o3bo3b2o146bobo273bo$48b2o6bo46bo
361b3o4b2o36bo111bo102b2o169bobo$48bo6bo45bobo51b2o24bo283bo14bo27bobo
133bo80bobo168b2o$45b2obo53b2o50bobo22b2o281b2obo13b2o28b2o70b3o58b2o
81bo$45b2ob2o106bo23b2o280b2ob2o12bobo99bo61b2o$582bo11bo160bo$592b2o
162b2o$56b2o9b2o404b2o118b2o160b2o$57bo9bobo404bo$54b3o10bo403b3o$54bo
416bo$137b2o$138bo$138bobo442b2o$139b2o442b2o21b2o$607b2o272bobo$116bo
bo404bobo80bo133b2o139b2o$117b2o46bo328b2o28b2o102bo110b2o141bo$117bo
28b2o7b2o8bobo326bobo27bo103bobo110bo$137bo7bob2o6bo9b2o327bo133b2o$
137b2o6bobo5bobo437b2o176bo$132bo13bo6b2o437b2o175bobo$82b2o48b3o447bo
11bo175b2o$81b2o52bo445bo$83bo50b2o445b3o$149b3o$146bobo$146b3ob2o$
146bo$591b3o273bo$132bo406bo53bo272bo$133bo406bo51bo161b3o109b3o$131b
3o16bobo356b2o27b3o72bobo138bo$150b2o356b2o103b2o140bo$151bo358bo103bo
$137b8o10b2o450b3o174bobo$125b2o10bob4obo10b2o450bo177b2o$96b3o26b2o
10b8o423bo39bo176bo$96bo469b2o$97bo469b2o3b2o$573bo$573bobo$574b2o2$
135bo445b3o269bo$130b2ob3o417bo26bo3bo185bo80b2o$133bobo418b2o23bo5bo
4b2o7bo169b2o81b2o$130b3o390b3o27b2o17b2o5bo5bo4bo7bo170bobo$146b2o
375bo48b2o5bo5bo2bobo7b3o$146bo377bo42bo12bo3bo3b2o33bo176bo$147b3o
417b3o11b3o38b2o177bo$112bo14b2o6bo13bo420bo12b2o37bobo174b3o$111b2o
13bobo5bobo6b2o407bo16b2o11b4o$111bobo12bo6b2obo7bo407bobo81bo$125b2o
7b2o403bo12b2o28bobo33b2o14b5o$539b3o40bobo34bo13bo5bo$542bo36b2o38bob
o12b3o2bo$125bo415b2o77b2o15bob2o$125b3o13b2o491b4o2bo$128bo12bobo485b
2o3bo3b2o197bo$127b2o14bo425bo59b2o4b3o146b2o51bobo$143b2o394bo27bob2o
14bo51bo146bobo50b2o$538b2o28bob3o6b2o2b2o52bob2o143bo$132b3o403bobo
28b2o2bo4bo2bo2b2o4b2o28b2o14b2ob2o$125bob2obo4bo415b2o7b2o7b6o2b6o7b
2o27bobo192bo$125bo3bobo3bo408bo6bobo6b2o8bo2bo4bo2bo39bo193b2o$125bo
4bo4bo408b2o7bo17b2o6b2o47b2o184b2o$126b2o5b2o2b2o406b2o6b2o73bo$128bo
3bo4bobo404bo84b3o$128bo3bo6bo400bo3bo86bo170b2o$129b3o7b2o398bobo260b
o$539bo2bobo255bobo$126bo411b2obobobo2bo30b2o219b2o$125bobob2o408bo2b
2ob4o33bobo$125bobobobo407bo4bo37bobo104b2o3b2o126bobo$124b2obobobo2bo
405b3obo2b2o140b2o2bob3o124b2o$125bo2b2ob4o407b2o3b2o20b2o11b4o107bo4b
o85b2o7b2o28bo$125bo4bo439bo12b2o104b4ob2o2bo86bo6b2obo7bo$126b3obo2b
2o432b3o11b3o21b2o82bo2bobobob2o85bobo5bobo6b2o$128b2o3b2o432bo12bo3bo
3b2o16b2o84bobobobo87b2o6bo13bo21bo$572b2o5bo5bo2bobo14bo87b2obobo107b
3o19bobo$572b2o5bo5bo4bo106bo107bo23b2o$579bo5bo4b2o213b2o$580bo3bo98b
2o104b3o$581b3o100bo7b2o98bobo$591bo92bobo5b2o95b2ob3o$574b2o13b3o93b
2o107bo$573bobo12bo$573bo14b2o102b3o113bo$572b2o120bo112bo$693bo113b3o
3$590b3o102b2o99b8o10b2o$587bo4bo102bo88b2o10bob4obo10b2o27bobo$578b2o
7bo3bo104b3o7bo77b2o10b8o40b2o$577bobo118bo8b2o80bo54bo$577bo7b2o2bo
116b2o81b2o$576b2o7bo202bobo$585bobo$589b2o$585bo5bo$585bo3bobo86bo
115bo$582bo4bobob2o75bo9b2o109b2ob3o$582b4ob2o2bo74b5o6bobo5b2o105bobo
$586bo4bo73bo5bo13bo103b3o$582b2o2bob3o74bo2b3o12bobo119b2o$582b2o3b2o
75b2obo15b2o120bo$664bo2bob2o135b3o50bo$665b2o2b2o3b2o110b2o6bo13bo51b
o$667b2o6bo46bo62bobo5bobo6b2o54b3o$667bo6bo45bobo51b2o9bo6b2obo7bo$
664b2obo53b2o50bobo8b2o7b2o$664b2ob2o106bo3$675b2o9b2o112b2o$676bo9bob
o111bobo$673b3o10bo115bo$673bo128b2o$756b2o$757bo$757bobo$758b2o113bo$
874b2o$735bobo135b2o$736b2o46bo$736bo28b2o7b2o8bobo$756bo7bob2o6bo9b2o
$756b2o6bobo5bobo$751bo13bo6b2o$701b2o48b3o$700b2o52bo$702bo50b2o$768b
3o$765bobo$765b3ob2o$765bo$889bo$751bo135bobo$752bo135b2o$750b3o16bobo
$769b2o$770bo$756b8o10b2o$744b2o10bob4obo10b2o$715b3o26b2o10b8o$715bo$
716bo5$754bo$749b2ob3o$752bobo$749b3o$765b2o$765bo$766b3o$731bo14b2o6b
o13bo$730b2o13bobo5bobo6b2o$730bobo12bo6b2obo7bo$744b2o7b2o3$744bo$
744b3o13b2o$747bo12bobo$746b2o14bo$762b2o2$751b3o$744bob2obo4bo$744bo
3bobo3bo$744bo4bo4bo$745b2o5b2o2b2o$747bo3bo4bobo$747bo3bo6bo$748b3o7b
2o2$745bo$744bobob2o$744bobobobo$743b2obobobo2bo$744bo2b2ob4o$744bo4bo
$745b3obo2b2o$747b2o3b2o!
Shannon Omick

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calcyman
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Posts: 2932
Joined: June 1st, 2009, 4:32 pm

Re: Just the place for a Snark!

Post by calcyman » April 26th, 2013, 8:36 pm

Yes, the area can indeed be greatly reduced:

Code: Select all

x = 469, y = 419, rule = B3/S23
319b2o3b2o$319b2o2bob3o$323bo4bo$319b4ob2o2bo$319bo2bobobob2o$322bobob
obo$323b2obobo$327bo2$313b2o$314bo7b2o$314bobo5b2o$315b2o6b2o$323bobo$
323bo$323b3o4$325b2o$325bo$326b3o$328bo9bo$339bo$337b3o3$309b2o$308bob
o$310bo7$366bo$352bo11b3o$353b2o8bo$352b2o9b2o3$294b2o75b2ob2o$295b2o
75bob2o$294bo77bo$364bo5b3o$364b2o3bo3b2o$369b2obo2bo$355b2o15bob2o$
354bobo12b3o2bo$354bo13bo5bo$353b2o5bo8b5o$360bobo8bo$360b2o4$279b3o$
281bo$280bo6$284b2o3b2o$282b3obo2b2o54bobo$281bo4bo58b2o$281bo2b2ob4o
55bo$280b2obobobo2bo$281bobobobo$265bo15bobob2o$265b2o15bo$264bobo$
295b2o$286b2o7bo$286b2o5bobo$286b2o5b2o$285b2o$285bobo$285bo45bo$330bo
$330b3o2$283b2o$284bo$250b2o29b3o19bo$249bobo19bobo7bo2b3o14b5o$251bo
19b2o9bo3bo13bo5bo$272bo6b3o4bobo12b3o2bo$279bo7b2o15bob2o$301b4o2bo$
291b2o3b2o3bo3b2o$292b2o2b2o4b3o$291bo12bo$304bob2o9bo$303b2ob2o7b2o$
316b2o2$295b2o$295bo$235b2o20bo38b3o$236b2o18bo41bo$235bo20b3o4$276b3o
$278bo$277bo134b2o3b2o$301bo110b2o2bob3o$301bobo112bo4bo$301b2o109b4ob
2o2bo$412bo2bobobob2o$415bobobobo$153bo262b2obobo$153b3o64b3o20bo176bo
$156bo65bo18b2o$135b2o3b2o13b2o64bo20b2o162b2o$135b2o2bob3o263bo7b2o$
139bo4bo262bobo5b2o$135b4ob2o2bo117bo145b2o6b2o$135bo2bobobob2o116b2o
152bobo$138bobobobo116bobo152bo$139b2obobo271b3o$143bo142bobo$286b2o$
129b2o156bo$130bo7b2o278b2o$130bobo5b2o278bo$131b2o36bo36bo212b3o$168b
2o36b2o19bo193bo9bo$168bobo34bobo19bobo202bo$145bobo79b2o201b3o$146b2o
$146bo$247b2o153b2o$141b2o103bobo152bobo$132b2o7bo106bo154bo$131bobo8b
3o17b2o48b2o16bo41bo$133bo10bo17b2o48b2o14b3o40bo$227bo43b3o$227b2o$
179b3o12b3o$178bo3bo10bo3bo28b2o3bo$175bo6bo10bo6bo23bo6bo227bo$148b2o
33b2o6b2o19bo19b2o211bo11b3o$149bo35bo4bo20bo2bo19bo211b2o8bo$149bobo
26bo2bo3bo4bo3bo2bo14bobo12bo2bo3bo210b2o9b2o$150b2o23b2o3bo4bo4bo4bo
3b2o23b2o3bo4bo$179bo3b2o6b2o3bo31bo3b2o$138bo7b2o14b3o14bo2bo10bo2bo
14b3o14bo2bo155b2o75b2ob2o$138b3o5b2o14b3o17bo10bo17b3o17bo156b2o75bob
2o$117b2o22bo37b3o12b3o31b3o156bo77bo$118b2o20b2o20bobo46bobo44bo198bo
5b3o$117bo44bobo46bobo20b2o20b2o199b2o3bo3b2o$145b3o31b3o12b3o37bo22b
2o203b2obo2bo$144bo17b3o17bo10bo17b3o14b2o5b3o210b2o15bob2o$144bo2bo
14b3o14bo2bo10bo2bo14b3o14b2o7bo209bobo12b3o2bo$142b2o3bo31bo3b2o6b2o
3bo250bo13bo5bo$141bo4bo3b2o23b2o3bo4bo4bo4bo3b2o23b2o220b2o5bo8b5o$
141bo3bo2bo12bobo14bo2bo3bo4bo3bo2bo26bobo226bobo8bo$141bo19bo2bo20bo
4bo35bo226b2o$142b2o19bo19b2o6b2o33b2o$144bo6bo23bo6bo10bo6bo$144bo3b
2o28bo3bo10bo3bo$179b3o5b3o4b3o175b3o$147b2o38bo186bo$102b3o43bo39bo
184bo$104bo40b3o14b2o48b2o17bo10bo$103bo41bo16b2o48b2o17b3o8bobo$127bo
106bo7b2o$127bobo103b2o$127b2o$229bo147b2o3b2o$228b2o145b3obo2b2o54bob
o$147b2o79bobo143bo4bo58b2o$146bobo19bobo34bobo166bo2b2ob4o55bo$148bo
19b2o36b2o165b2obobobo2bo$169bo36bo36b2o129bobobobo$203bo32b2o5bobo
112bo15bobob2o$202b2o32b2o7bo112b2o15bo$88bo113bobo40b2o110bobo$88b2o
298b2o$87bobo142bo146b2o7bo$231bobob2o142b2o5bobo$112bobo116bobobobo
141b2o5b2o$112b2o116b2obobobo2bo137b2o$113bo117bo2b2ob4o137bobo$231bo
4bo141bo45bo$232b3obo2b2o182bo$132b2o20bo66bo12b2o3b2o182b3o$133b2o18b
o68bo$132bo20b3o64b3o153b2o$377bo$217b2o124b2o29b3o19bo$217bobo122bobo
19bobo7bo2b3o14b5o$73b2o142bo126bo19b2o9bo3bo13bo5bo$72bobo290bo6b3o4b
obo12b3o2bo$74bo297bo7b2o15bob2o$98bo295b4o2bo$97bo286b2o3b2o3bo3b2o$
97b3o285b2o2b2o4b3o$384bo12bo$397bob2o9bo$396b2ob2o7b2o$117b3o20bo94bo
173b2o$77bo41bo18b2o96b2o$77b3o38bo20b2o94b2o151b2o$80bo307bo$79b2o
151b2o94b2o20bo38b3o$231b2o96b2o18bo41bo$58b2o173bo94bo20b3o$59b2o7b2o
b2o$58bo9b2obo$71bo12bo$71b3o4b2o2b2o285b3o$69b2o3bo3b2o3b2o286bo$68bo
2b4o295bo$68b2obo15b2o7bo297bo$69bo2b3o12bobo4b3o6bo290bobo$69bo5bo13b
o3bo9b2o19bo126bo142b2o$70b5o14b3o2bo7bobo19bobo122bobo$72bo19b3o29b2o
124b2o$91bo$91b2o153b3o64b3o20bo$246bo68bo18b2o$43b3o182b2o3b2o12bo66b
o20b2o$45bo182b2o2bob3o$44bo45bo141bo4bo$88bobo137b4ob2o2bo117bo$89b2o
137bo2bobobob2o116b2o$81b2o5b2o141bobobobo116bobo$80bobo5b2o142b2obobo
$80bo7b2o146bo142bobo$79b2o298b2o$109bobo110b2o40bobo113bo$93bo15b2o
112bo7b2o32b2o$89b2obobo15bo112bobo5b2o32bo$88bobobobo129b2o36bo36bo$
85bo2bobobob2o165b2o36b2o19bo$29bo55b4ob2o2bo166bobo34bobo19bobo$29b2o
58bo4bo143bobo79b2o$28bobo54b2o2bob3o145b2o$85b2o3b2o147bo$340b2o$234b
2o103bobo$225b2o7bo106bo$224bobo8b3o17b2o48b2o16bo41bo$226bo10bo17b2o
48b2o14b3o40bo$95bo184bo39bo43b3o$94bo186bo38b2o$94b3o175b3o4b3o5b3o$
271bo3bo10bo3bo28b2o3bo$268bo6bo10bo6bo23bo6bo$241b2o33b2o6b2o19bo19b
2o$14b2o226bo35bo4bo20bo2bo19bo$4bo8bobo226bobo26bo2bo3bo4bo3bo2bo14bo
bo12bo2bo3bo$2b5o8bo5b2o220b2o23b2o3bo4bo4bo4bo3b2o23b2o3bo4bo$bo5bo
13bo250bo3b2o6b2o3bo31bo3b2o$bo2b3o12bobo209bo7b2o14b3o14bo2bo10bo2bo
14b3o14bo2bo$2obo15b2o210b3o5b2o14b3o17bo10bo17b3o17bo$o2bob2o203b2o
22bo37b3o12b3o31b3o$b2o3bo3b2o199b2o20b2o20bobo46bobo44bo$3b3o5bo198bo
44bobo46bobo20b2o20b2o$3bo77bo156b3o31b3o12b3o37bo22b2o$2obo75b2o156bo
17b3o17bo10bo17b3o14b2o5b3o$2ob2o75b2o155bo2bo14b3o14bo2bo10bo2bo14b3o
14b2o7bo$235b2o3bo31bo3b2o6b2o3bo$234bo4bo3b2o23b2o3bo4bo4bo4bo3b2o23b
2o$11b2o9b2o210bo3bo2bo12bobo14bo2bo3bo4bo3bo2bo26bobo$12bo8b2o211bo
19bo2bo20bo4bo35bo$9b3o11bo211b2o19bo19b2o6b2o33b2o$9bo227bo6bo23bo6bo
10bo6bo$237bo3b2o28bo3bo10bo3bo$272b3o12b3o$240b2o$195b3o43bo$197bo40b
3o14b2o48b2o17bo10bo$196bo41bo16b2o48b2o17b3o8bobo$65bo154bo106bo7b2o$
65bobo152bobo103b2o$65b2o153b2o$322bo$321b2o$36b3o201b2o79bobo$36bo
202bobo19bobo34bobo$37bo9bo193bo19b2o36b2o$47b3o212bo36bo36b2o$50bo
278b2o5bobo$49b2o278b2o7bo$181bo156b2o$181b2o$180bobo142bo$50b3o271bob
ob2o$52bo152bobo116bobobobo$50bobo152b2o116b2obobobo2bo$51b2o6b2o145bo
117bo2b2ob4o$52b2o5bobo262bo4bo$52b2o7bo263b3obo2b2o$61b2o162b2o20bo
66bo12b2o3b2o$226b2o18bo68bo$48bo176bo20b3o64b3o$47bobob2o$47bobobobo$
46b2obobobo2bo$47bo2b2ob4o109b2o$47bo4bo112bobo$48b3obo2b2o110bo$50b2o
3b2o134bo$190bo$190b3o4$210b3o20bo94bo$170bo41bo18b2o96b2o$170b3o38bo
20b2o94b2o$173bo$172b2o2$151b2o$152b2o7b2ob2o$151bo9b2obo$164bo12bo$
164b3o4b2o2b2o$162b2o3bo3b2o3b2o$161bo2b4o$161b2obo15b2o7bo$162bo2b3o
12bobo4b3o6bo$162bo5bo13bo3bo9b2o19bo126bo$163b5o14b3o2bo7bobo19bobo
122bobo$165bo19b3o29b2o124b2o$184bo$184b2o2$136b3o$138bo$137bo45bo$
181bobo$182b2o$174b2o5b2o$173bobo5b2o$173bo7b2o$172b2o$202bobo152bobo$
186bo15b2o154b2o$182b2obobo15bo154bo$181bobobobo$178bo2bobobob2o$122bo
55b4ob2o2bo$122b2o58bo4bo$121bobo54b2o2bob3o$178b2o3b2o6$188bo184bo$
187bo186bo$187b3o182b3o4$107b2o$97bo8bobo$95b5o8bo5b2o$94bo5bo13bo$94b
o2b3o12bobo$93b2obo15b2o$93bo2bob2o$94b2o3bo3b2o$96b3o5bo$96bo77bo$93b
2obo75b2o$93b2ob2o75b2o3$104b2o9b2o$105bo8b2o$102b3o11bo$102bo7$158bo$
158bobo$158b2o3$129b3o$129bo$130bo9bo$140b3o$143bo$142b2o4$143b3o$145b
o$143bobo$144b2o6b2o$145b2o5bobo$145b2o7bo$154b2o2$141bo$140bobob2o$
140bobobobo$139b2obobobo2bo$140bo2b2ob4o$140bo4bo$141b3obo2b2o$143b2o
3b2o!
What do you do with ill crystallographers? Take them to the mono-clinic!

hkoenig
Posts: 258
Joined: June 20th, 2009, 11:40 am

Re: Just the place for a Snark!

Post by hkoenig » April 26th, 2013, 8:58 pm

Here's a version with a slightly smaller object, in terms of population. But this object has a much greater chance of being constructable.

Code: Select all

x=23, y=47
13bo$11b3o$10bo$2bo7b2o$obo$b2o$18b2o$19bo$19bob2o$11b2o4b3o2bo$11b2o3bo3b
2o$16b4o$2b2o15bo$bobo12b3o$bo13bo$2o14b5o$18bo2bo$20b2o8$10b2o$11bo$11bob
2o$9b3o2bo$8bo3b2o$8b4o$11bo$8b3o$8bo7$5bo9b2o$3b3o10bo$2bo13bob2o$2b4o8b
3o2bo$5bo7bo3b2o$2b3o9b3o$2bo13bo!
For example, I'm fairly certain that it can be made from the second smaller object below it. This 22-bit object, in turn, has enough "tails" and "hooks" on it so that it also could be built up incrementally. One possible starting point might be to build this from the 14-bit object at the bottom left. The 17-bit object (bottom right) represents another possible start.

It's been years since I've really done much construction, so my memory can be faulty, and I need to dig through my construction database to be sure about all this. On the other hand, this might give some people hints and ideas on how to proceed.

skomick
Posts: 82
Joined: February 11th, 2011, 11:41 pm

Re: Just the place for a Snark!

Post by skomick » April 26th, 2013, 9:01 pm

calcyman wrote:Yes, the area can indeed be greatly reduced
:lol: Love it!!
Shannon Omick

Sokwe
Moderator
Posts: 2645
Joined: July 9th, 2009, 2:44 pm

Re: Just the place for a Snark!

Post by Sokwe » April 27th, 2013, 4:49 am

pcallahan wrote:Another more immediate question is whether it is possible to tickle an extra glider out of this. I sort of doubt it, but it might be worth trying.
This might be worth a try, but there is so little room for sparkers or other still lifes that I don't expect much to come of it. On a related note, it might be possible to coax an extra glider out of this p52 reflector by replacing the eater 3 and other still life with p4 sparkers:

Code: Select all

x = 49, y = 35, rule = B3/S23
32bobo$32b2o$33bo4$15bo$15b3o14b2o2b2o$18bo12bo2bo2bo$17b2o12bob2obo8b
o$30b2o2bob4o3b3o$29bo2bobo5bobo$29b2o2bo2b5obo2b3o$19bobo7bo3bo2bobo
3bobobobo$19b2o8bo7b3o2bo2bob2o$20bo8bo3bobobo7b2o$30bo2bo4b6obo$20b2o
10bo2b3o6bo2bo$20b2o11b2o3bo2b2obob2o$28bo5bo2bo3bo2bo$28b3o3bobo6b2o$
31bo3bo$9b2o17bo$4b2o2bo2bo15bo3bo$bo2bo4bobo16bobo$obobo5bo17b2o$bo2b
ob2o20b2o4bobo$4bo2bo8b2o5b2o8bo3bo$5bo4bo5bobo4b2o6b2o4bo$6b5o7bo12b
3obob2o$17bo16bo$8bo9b3o$7bobo10bo$8bo20b2o$29b2o!
Here's an idea that might have more promise. A while back I noticed that crashing a glider into one of Mike Playle's honeyfarm-to-glider reactions caused the honeyfarm to reappear in the same location. This could be repeated at period 26. I tested similar reactions and also found a period-31 reflector:

Code: Select all

#C dependent reflectors of periods 26 and 31 respectively
x = 123, y = 58, rule = B3/S23
19$53b2o$14bo37bobo20bobo38b2o$15bo38bo21b2o37bobo$13b3o60bo40bo4$46b
3o$21bo26bo35bo$19bobo25bo37bo22b2o$20b2o61b3o23b2o$108bo2$40b2o$27bo
11bobo$28bo12bo69b2o$26b3o62bo19bo$92b2o9b3o3bobo$44b2o45b2o9bo3bo2b2o
$44bo56bo5bo$36b3o3bobo56bo5bo$35bo3bo2b2o57bo5bo$34bo5bo61bo3bo$34bo
5bo62b3o$34bo5bo70b2o$35bo3bo71b2o$36b3o3$39bo$35b2obobo$33bo2bob2o$
33b2o2bo$38bobo$39b2o!
Long before this, Jason Summers found several honeyfarm hasslers that work in a similar manner and are supported by sparks. Perhaps by starting with the honeyfarm + eater --> glider + junk reaction, it would be possible to get the honeyfarm to reappear in the same place using sparkers and still lifes, thus creating a gun. It would be good to also try starting with two honeyfarm + eater reactions rotated 180-degrees relative to each other e.g. like this:

Code: Select all

x = 15, y = 27, rule = B3/S23
o$3o$3bo$2b2o2$4b3o$3bo3bo$2bo5bo$2bo5bo$2bo5bo$3bo3bo$4b3o4$8b3o$7bo
3bo$6bo5bo$6bo5bo$6bo5bo$7bo3bo$8b3o2$11b2o$11bo$12b3o$14bo!
I'm not sure how likely this is to work, but I was somewhat surprised that I got those two reflectors, so we might get lucky again.
-Matthias Merzenich

MikeP
Posts: 105
Joined: February 7th, 2010, 9:51 am
Location: Ely, Cambridgeshire, UK

Re: Just the place for a Snark!

Post by MikeP » April 27th, 2013, 5:48 am

Source code for my search program is now online: http://www.vfx.org.uk/programs/bellman- ... -27.tar.gz

What's missing is any kind of description of how it works, the input file format, etc. I'll try and write some more about it over the next few days.

I've also decided that I'd like to continue the tradition by offering a prize of my own, to encourage further advances.

So I'll offer 100 USD for a colour-changing reflector. My reflector preserves the colour of the input glider, but I'm sure it's possible to find a similarly sized reflector which inverts the glider's colour. To be explicit, the reflector must fit in a 25x25 bounding box, and have a repeat time of 50 generations or less.

A "Snarkic" glider duplicator would be an interesting find, too.

MikeP
Posts: 105
Joined: February 7th, 2010, 9:51 am
Location: Ely, Cambridgeshire, UK

Re: Just the place for a Snark!

Post by MikeP » April 27th, 2013, 12:22 pm


User avatar
dvgrn
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Re: Just the place for a Snark!

Post by dvgrn » April 27th, 2013, 11:32 pm

calcyman wrote:Yes, the area can indeed be greatly reduced:

Code: Select all

x = 469, y = 419, rule = B3/S23
...
Lots of ways to cut even that down -- in area, anyway, at the cost of a few more Snarks. Here's another draft:

Code: Select all

x = 405, y = 355, rule = B3/S23
255b2o3b2o$255b2o2bob3o$259bo4bo$255b4ob2o2bo$255bo2bobobob2o$258bobob
obo$259b2obobo$263bo2$249b2o$250bo7b2o$250bobo5b2o$251b2o2$258bo$258b
2o$257bobo3$261b2o$261bo10bo$262b3o8bo$264bo6b3o7$243b2o$242bobo$244bo
2$252b2o3b2o$250b3obo2b2o$249bo4bo31bo$249bo2b2ob4o28b2o13bo$248b2obob
obo2bo27b2o12b3o$249bobobobo43bo$249bobob2o45bo$250bo45bo3bo2$263b2o
29bo4bo7b2ob2o$254b2o7bo30bo2b3o8bob2o$228b2o24b2o5bobo36b2o6bo$229b2o
30b2o32b2o3bo2bo2b3o$228bo66bo2bo2bob3o3b2o$295bo2bobo2b6o2bo$291b2o3b
3ob2o6bob2o$290bobo3b4o5b3o2bo$245bo44bo6bobo4bo5bo$243b2o12b3o29b2o5b
3o6b5o$244b2o5b2o4bo39b2o8bo$252bo5bo$249b3o19bo$249bo2b3o14b5o$250bo
3bo13bo5bo$247b3o4bobo12b3o2bo$247bo7b2o15bob2o$213b3o53b4o2bo$215bo
48b2o3bo3b2o$214bo49b2o4b3o$272bo$272bob2o$255bo15b2ob2o7bobo$229bo25b
2o26b2o$229bobo22bobo27bo$229b2o32b2o$263bo$264b3o$266bo3$199bo$199b2o
58bo$198bobo58b3o$262bo$261b2o$269bo$240b2o26bo$214bobo22bobo11b2o13b
3o$214b2o25bo11bo$215bo34b2obo$121bo128bo2b3o4b2o$121b3o127b2o3bo3b2o$
124bo128b4o$75b2o3b2o21b2o3b2o13b2o128bo15b2o$75b2o2bob3o19b2o2bob3o
142b3o12bobo$79bo4bo22bo4bo13b2o56b2o71bo13bo6bo$75b4ob2o2bo18b4ob2o2b
o13bobo54bobo66b5o14b2o3b3o$75bo2bobobob2o17bo2bobobob2o12bo58bo65bo
23bo$78bobobobo21bobobobo137bo2b2o20b2o$79b2obobo22b2obobo136bob2obo
12bo$83bo27bo131b2o4bo18b2o$200bo24b2o14bo2bo2b2ob4o13b2o14b2ob2o$69b
2o8bo17b2o100bo26b2o13b2obobobobo2bo30bob2o$70bo7b3o17bo8bo91b3o23bo
18bobobobo33bo$70bobo4b5o16bobo5b3o135bobob2o26b2o4b3o$71b2o3bo5bo16b
2o4b5o135bo30b2o3bo3b2o$75b2o2bo2b2o20b2o3b2o170b4o2bo$74b3obobob3o18b
3o3b3o146b2o7b2o15bob2o$75b2o2bo2b2o14bo5b2o3b2o138b2o7bo7bobo12b3o2bo
$76bo19b3o6b5o139b2o5bobo7bo13bo5bo$77bo17bo10b3o32b2o26b2o85b2o7b2o
14b5o$96bo10b3o30b2o28b2o111bo$81b2o9bo3bo12b2o31bo26bo58bo13bo$81bo9b
o17bo118b3o10bo16bo10bo$82b3o5bo5bo13b3o17b2o48b2o16bo32bo9b3o14b3o8bo
bo$58b2o24bo4bo3bo3bo14bo17b2o48b2o14b3o31b2o29bo7b2o$59bo29bo2bobo2bo
88bo8bo14b3o47b2o86b2o3b2o$57bo10b2o19bo3bo3bo86b2o9b2o15bo33b2o100b2o
2bob3o$57b5o5bobo6b2o7b2o3bo5bo28bo59b2o24bo10b2o23bo8bo95bo4bo$62bo6b
o6bo7bobo4bo3bo27bobo15bo28bo19bo31bo21b3o8b2o91b4ob2o2bo$59b2obo2bo8b
obo7bo7b3o29b2o14b2o28b2o17b2o28b2obo5bo15bo10bobo90bo2bobobob2o$58bo
15b2o7b2o31b2o21bo2bo26bo2bo15bo2bo27bo2b2o4b2o121bobobobo$58b2o3bo3b
2o48bo21b2o30b2o15b2o30b2o2bob2ob2o121b2obobo$56b2o7bo31bo19bobo10b3o
7bo4b2o18b2o4bo7b3o7bo4b2o26b2o46b2o84bo$46b2o7bo2bob2ob3o27b2obobo19b
2o23b2o2bo16bo2b2o23b2o2bo25bobo13b2o23b2o5bobo$46bobo5bobobo33bobobob
o30bo3bo7bo5b2o14b2o5bo7bo3bo7bo5b2o25bobo12bobo22b2o7bo69b2o$48bo4bo
2bobo30bo2bobobobob2o4bo7b2o13bo3bo10bobobo14bobobo10bo3bo10bobobo28bo
5bo7bo6bo24b2o69bo7b2o$44b4ob2o2bobo2b2o29b4ob2o2bo2bo4b3o5b2o25b2obob
ob2o12b2obobob2o19b2obobob2o22b5o7b2o5b2o3b3o95bobo5b2o$44bo2bobobobob
2o36bo4b2o9bo20b3o14b2o14b2o14b3o14b2o22bo11b2o10bo14bo84b2o$47bobobob
o34bob2obo14b2o109bo2b2o20b2o12bobob2o$48b2obobo12b2o20b2o2bo109b2o14b
ob2obo34bobobobo86bo$52bo14bo10b2o11bo22b2o14b3o14b2o14b2o14b3o20bo9b
2o4bo36b2obobobobo2bo83b2o$64b3o3b2o5b2o7b5o22b2obobob2o19b2obobob2o
12b2obobob2o25b2o5b3o4bo2bo2b2ob4o29b2o2bobo2b2ob4o82bobo$38b2o24bo6bo
7bo5bo28bobobo10bo3bo10bobobo14bobobo10bo3bo13b2o7bo4b2obobobobo2bo30b
obo2bo4bo$39bo7b2o22bobo12bobo25b2o5bo7bo3bo7bo5b2o14b2o5bo7bo3bo30bob
obobo33bobobo5bobo$39bobo5b2o23b2o13bobo25bo2b2o23b2o2bo16bo2b2o23b2o
19bobob2o27b3ob2obo2bo7b2o88b2o$40b2o46b2o26b2o4bo7b3o7bo4b2o18b2o4bo
7b3o10bobo19bo31bo7b2o98bo10bo$81b2ob2obo2b2o30b2o15b2o30b2o21bo48b2o
3bo3b2o101b3o8bo$82b2o4b2o2bo27bo2bo15bo2bo26bo2bo21b2o31b2o7b2o15bo
103bo6b3o$54bobo10bo15bo5bob2o28b2o17b2o28b2o14b2o29b3o7bo7bobo8bo2bob
2o$55b2o8b3o21bo31bo19bo28bo15bobo27bo3bo4bobo7bo6bo6bo$55bo8bo23b2o
10bo24b2o59bo28bo5bo3b2o7b2o6bobo5b5o$64b2o33bo15b2o9b2o86bo3bo3bo19b
2o10bo$50b2o47b3o14bo8bo88bo2bobo2bo29bo$41b2o7bo29b2o31b3o14b2o48b2o
17bo14bo3bo3bo4bo24b2o$40bobo8b3o14b3o9bo32bo16b2o28b2o18b2o17b3o13bo
5bo5b3o106b2o$42bo10bo16bo10b3o76bobo39bo17bo9bo104bobo$69bo13bo58bo
17bo8bo31b2o12bo3bo9b2o106bo$28bo111b2o28b2o30b3o10bo$26b5o14b2o7b2o
85b2o26b2o32b3o10bo17bo110b2o3b2o$25bo5bo13bo7bobo5b2o139b5o6b3o19bo
107b3obo2b2o$25bo2b3o12bobo7bo7b2o138b2o3b2o5bo14b2o2bo2b2o105bo4bo31b
o$24b2obo15b2o7b2o146b3o3b3o18b3obobob3o104bo2b2ob4o28b2o13bo$24bo2b4o
170b2o3b2o20b2o2bo2b2o104b2obobobo2bo27b2o12b3o$25b2o3bo3b2o30bo135b5o
4b2o16bo5bo3b2o101bobobobo43bo$27b3o4b2o26b2obobo135b3o5bobo16b5o4bobo
100bobob2o45bo$27bo33bobobobo18bo23b3o91bo8bo17b3o7bo101bo45bo3bo$24b
2obo30bo2bobobobob2o13b2o26bo100b2o17bo8b2o$24b2ob2o14b2o13b4ob2o2bo2b
o14b2o24bo244b2o29bo4bo7b2ob2o$42b2o18bo4b2o131bo27bo118b2o7bo30bo2b3o
8bob2o$44bo12bob2obo112b2o22bobob2o22bobob2o88b2o24b2o5bobo36b2o6bo$
35b2o20b2o2bo112b2o23bobobobo21bobobobo88b2o30b2o32b2o3bo2bo2b3o$36bo
23bo65bo49bo8bo12b2obobobo2bo17b2obobobo2bo84bo66bo2bo2bob3o3b2o$33b3o
3b2o14b5o66bobo54bobo13bo2b2ob4o18bo2b2ob4o151bo2bobo2b6o2bo$33bo6bo
13bo71b2o56b2o13bo4bo22bo4bo151b2o3b3ob2o6bob2o$40bobo12b3o142b3obo2b
2o19b3obo2b2o146bobo3b4o5b3o2bo$41b2o15bo143b2o3b2o21b2o3b2o101bo44bo
6bobo4bo5bo$55b4o277b2o12b3o29b2o5b3o6b5o$50b2o3bo3b2o276b2o5b2o4bo39b
2o8bo$50b2o4b3o2bo283bo5bo$58bob2o34bo245b3o19bo$58bo11bo25b2o244bo2b
3o14b5o$41b3o13b2o11bobo22bobo245bo3bo13bo5bo$43bo26b2o268b3o4bobo12b
3o2bo$42bo297bo7b2o15bob2o$49b2o138b3o114b3o53b4o2bo$49bo139bo118bo48b
2o3bo3b2o$50b3o58bobo76bo7bobo106bo49b2o4b3o$52bo58b2o86b2o164bo$112bo
86bo165bob2o$348bo15b2ob2o7bobo$322bo25b2o26b2o$45bo276bobo22bobo27bo$
45b3o274b2o32b2o$48bo307bo$47b2o32b2o274b3o$27bo27bobo22bobo276bo$27b
2o26b2o25bo$26bobo7b2ob2o15bo$36b2obo165bo86bo$39bo164b2o86b2o58bo$39b
3o4b2o49bo106bobo7bo76bobo58b3o$37b2o3bo3b2o48bo118bo139bo$36bo2b4o53b
3o114b3o138b2o$36b2obo15b2o7bo297bo$37bo2b3o12bobo4b3o268b2o26bo$37bo
5bo13bo3bo245bobo22bobo11b2o13b3o$38b5o14b3o2bo244b2o25bo11bo$40bo19b
3o245bo34b2obo$53bo5bo283bo2b3o4b2o$4bo8b2o39bo4b2o5b2o276b2o3bo3b2o$
2b5o6b3o5b2o29b3o12b2o277b4o$bo5bo4bobo6bo44bo101b2o3b2o21b2o3b2o143bo
15b2o$bo2b3o5b4o3bobo146b2o2bob3o19b2o2bob3o142b3o12bobo$2obo6b2ob3o3b
2o151bo4bo22bo4bo13b2o56b2o71bo13bo6bo$o2b6o2bobo2bo151b4ob2o2bo18b4ob
2o2bo13bobo54bobo66b5o14b2o3b3o$b2o3b3obo2bo2bo66bo84bo2bobobob2o17bo
2bobobob2o12bo8bo49bo65bo23bo$3b3o2bo2bo3b2o32b2o30b2o88bobobobo21bobo
bobo23b2o112bo2b2o20b2o$3bo6b2o36bobo5b2o24b2o88b2obobo22b2obobo22b2o
112bob2obo12bo$2obo8b3o2bo30bo7b2o118bo27bo131b2o4bo18b2o$2ob2o7bo4bo
29b2o244bo24b2o14bo2bo2b2ob4o13b2o14b2ob2o$162b2o8bo17b2o100bo26b2o13b
2obobobobo2bo30bob2o$11bo3bo45bo101bo7b3o17bo8bo91b3o23bo18bobobobo33b
o$11bo45b2obobo100bobo4b5o16bobo5b3o135bobob2o26b2o4b3o$12bo43bobobobo
101b2o3bo5bo16b2o4b5o135bo30b2o3bo3b2o$9b3o12b2o27bo2bobobob2o104b2o2b
o2b2o20b2o3b2o170b4o2bo$9bo13b2o28b4ob2o2bo104b3obobob3o18b3o3b3o146b
2o7b2o15bob2o$25bo31bo4bo105b2o2bo2b2o14bo5b2o3b2o138b2o7bo7bobo12b3o
2bo$53b2o2bob3o107bo19b3o6b5o139b2o5bobo7bo13bo5bo$53b2o3b2o110bo17bo
10b3o32b2o26b2o85b2o7b2o14b5o$189bo10b3o30b2o28b2o111bo$67bo106b2o9bo
3bo12b2o31bo8bo17bo58bo13bo$67bobo104bo9bo17bo39bobo76b3o10bo16bo10bo$
67b2o106b3o5bo5bo13b3o17b2o18b2o28b2o16bo32bo9b3o14b3o8bobo$151b2o24bo
4bo3bo3bo14bo17b2o48b2o14b3o31b2o29bo7b2o$152bo29bo2bobo2bo88bo8bo14b
3o47b2o$150bo10b2o19bo3bo3bo86b2o9b2o15bo33b2o$150b5o5bobo6b2o7b2o3bo
5bo28bo59b2o24bo10b2o23bo8bo$155bo6bo6bo7bobo4bo3bo27bobo15bo28bo19bo
31bo21b3o8b2o$152b2obo2bo8bobo7bo7b3o29b2o14b2o28b2o17b2o28b2obo5bo15b
o10bobo$38b3o6bo103bo15b2o7b2o31b2o21bo2bo26bo2bo15bo2bo27bo2b2o4b2o$
38bo8b3o101b2o3bo3b2o48bo21b2o30b2o15b2o30b2o2bob2ob2o$39bo10bo98b2o7b
o31bo19bobo10b3o7bo4b2o18b2o4bo7b3o7bo4b2o26b2o46b2o$49b2o88b2o7bo2bob
2ob3o27b2obobo19b2o23b2o2bo16bo2b2o23b2o2bo25bobo13b2o23b2o5bobo$139bo
bo5bobobo33bobobobo30bo3bo7bo5b2o14b2o5bo7bo3bo7bo5b2o25bobo12bobo22b
2o7bo$141bo4bo2bobo30bo2bobobobob2o4bo7b2o13bo3bo10bobobo14bobobo10bo
3bo10bobobo28bo5bo7bo6bo24b2o$52bobo82b4ob2o2bobo2b2o29b4ob2o2bo2bo4b
3o5b2o25b2obobob2o12b2obobob2o19b2obobob2o22b5o7b2o5b2o3b3o$52b2o83bo
2bobobobob2o36bo4b2o9bo20b3o14b2o14b2o14b3o14b2o22bo11b2o10bo14bo$53bo
86bobobobo34bob2obo14b2o109bo2b2o20b2o12bobob2o$141b2obobo12b2o20b2o2b
o109b2o14bob2obo34bobobobo$59b2o84bo14bo10b2o11bo22b2o14b3o14b2o14b2o
14b3o20bo9b2o4bo36b2obobobobo2bo$52b2o5bobo95b3o3b2o5b2o7b5o22b2obobob
2o19b2obobob2o12b2obobob2o25b2o5b3o4bo2bo2b2ob4o29b2o2bobo2b2ob4o$52b
2o7bo69b2o24bo6bo7bo5bo28bobobo10bo3bo10bobobo14bobobo10bo3bo13b2o7bo
4b2obobobobo2bo30bobo2bo4bo$61b2o69bo7b2o22bobo12bobo25b2o5bo7bo3bo7bo
5b2o14b2o5bo7bo3bo30bobobobo33bobobo5bobo$132bobo5b2o23b2o13bobo25bo2b
2o23b2o2bo16bo2b2o23b2o19bobob2o27b3ob2obo2bo7b2o$48bo84b2o46b2o26b2o
4bo7b3o7bo4b2o18b2o4bo7b3o10bobo19bo31bo7b2o$47bobob2o121b2ob2obo2b2o
30b2o15b2o30b2o21bo48b2o3bo3b2o$47bobobobo121b2o4b2o2bo27bo2bo15bo2bo
26bo2bo21b2o31b2o7b2o15bo$46b2obobobo2bo90bobo10bo15bo5bob2o28b2o17b2o
28b2o14b2o29b3o7bo7bobo8bo2bob2o$47bo2b2ob4o91b2o8b3o21bo31bo19bo28bo
15bobo27bo3bo4bobo7bo6bo6bo$47bo4bo95bo8bo23b2o10bo24b2o59bo28bo5bo3b
2o7b2o6bobo5b5o$48b3obo2b2o100b2o33bo15b2o9b2o86bo3bo3bo19b2o10bo$50b
2o3b2o86b2o47b3o14bo8bo88bo2bobo2bo29bo$134b2o7bo29b2o31b3o14b2o48b2o
17bo14bo3bo3bo4bo24b2o$133bobo8b3o14b3o9bo32bo16b2o48b2o17b3o13bo5bo5b
3o$135bo10bo16bo10b3o118bo17bo9bo$162bo13bo58bo26bo31b2o12bo3bo9b2o$
121bo111b2o28b2o30b3o10bo$119b5o14b2o7b2o85b2o26b2o32b3o10bo17bo$118bo
5bo13bo7bobo5b2o139b5o6b3o19bo$118bo2b3o12bobo7bo7b2o138b2o3b2o5bo14b
2o2bo2b2o$117b2obo15b2o7b2o146b3o3b3o18b3obobob3o$117bo2b4o170b2o3b2o
20b2o2bo2b2o$118b2o3bo3b2o30bo135b5o4b2o16bo5bo3b2o$120b3o4b2o26b2obob
o135b3o5bobo16b5o4bobo$120bo33bobobobo18bo23b3o91bo8bo17b3o7bo$117b2ob
o30bo2bobobobob2o13b2o26bo100b2o17bo8b2o$117b2ob2o14b2o13b4ob2o2bo2bo
14b2o24bo$135b2o18bo4b2o131bo27bo$137bo12bob2obo136bobob2o22bobob2o$
128b2o20b2o2bo137bobobobo21bobobobo$129bo23bo65bo58bo12b2obobobo2bo17b
2obobobo2bo$126b3o3b2o14b5o66bobo54bobo13bo2b2ob4o18bo2b2ob4o$126bo6bo
13bo71b2o56b2o13bo4bo22bo4bo$133bobo12b3o142b3obo2b2o19b3obo2b2o$134b
2o15bo143b2o3b2o21b2o3b2o$148b4o$143b2o3bo3b2o$143b2o4b3o2bo$151bob2o
34bo$151bo11bo25b2o$134b3o13b2o11bobo22bobo$136bo26b2o$135bo$142b2o$
142bo$143b3o58bobo84bobo$145bo58b2o86b2o$205bo86bo3$138bo$138b3o$141bo
$140b2o32b2o$120bo27bobo22bobo$120b2o26b2o25bo$119bobo7b2ob2o15bo$129b
2obo$132bo$132b3o4b2o49bo116bo$130b2o3bo3b2o48bo118bo$129bo2b4o53b3o
114b3o$129b2obo15b2o7bo$130bo2b3o12bobo4b3o$130bo5bo13bo3bo$131b5o14b
3o2bo$133bo19b3o$146bo5bo$97bo8b2o39bo4b2o5b2o$95b5o6b3o5b2o29b3o12b2o
$94bo5bo4bobo6bo44bo$94bo2b3o5b4o3bobo$93b2obo6b2ob3o3b2o$93bo2b6o2bob
o2bo$94b2o3b3obo2bo2bo66bo144bo$96b3o2bo2bo3b2o32b2o30b2o146b2o$96bo6b
2o36bobo5b2o24b2o144b2o$93b2obo8b3o2bo30bo7b2o$93b2ob2o7bo4bo29b2o2$
104bo3bo45bo$104bo45b2obobo$105bo43bobobobo$102b3o12b2o27bo2bobobob2o$
102bo13b2o28b4ob2o2bo$118bo31bo4bo$146b2o2bob3o$146b2o3b2o2$160bo176bo
$160bobo172bobo$160b2o174b2o7$131b3o6bo$131bo8b3o$132bo10bo$142b2o3$
145bobo202bobo$145b2o204b2o$146bo204bo2$152b2o$145b2o5bobo$145b2o7bo$
154b2o2$141bo$140bobob2o$140bobobobo$139b2obobobo2bo$140bo2b2ob4o$140b
o4bo220bo$141b3obo2b2o217bo$143b2o3b2o215b3o!
Just for starters, a glider can be delayed 52, 32, or 30 full diagonals by substituting various chains of Snarks for a straight-line section of glider track, or for a single Snark at a corner:

Code: Select all

x = 203, y = 309, rule = LifeHistory
179.2A3.2A$177.3A.A2.2A$176.A4.A$176.A2.2A.4A$175.2A.A.A.A2.A$176.A.A
.A.A$176.A.A.2A$177.A2$190.2A$181.2A7.A$181.2A5.A.A$188.2A2$65.2A3.2A
$63.3A.A2.2A$62.A4.A$62.A2.2A.4A$61.2A.A.A.A2.A$62.A.A.A.A109.2A$62.A
.A.2A111.A$63.A112.3A19.A$176.A2.3A14.5A$76.2A100.A2.A13.A5.A$67.2A7.
A100.2A2.A.A12.3A2.A$67.2A5.A.A105.2A15.A.2A$74.2A120.4A2.A$191.2A3.A
3.2A$191.2A4.3A$199.A$199.A.2A$198.2A.2A2$64.2A$65.A124.2A$62.3A104.A
20.A$62.A104.5A14.2A3.3A$166.A5.A13.A6.A$166.A2.3A12.A.A$165.2A.A15.
2A$165.A2.4A$166.2A3.A3.2A$168.3A4.2A$168.A$165.2A.A$165.2A.2A3$176.
2A$177.A$174.3A$174.A$36.D53.3A43.D53.3A$35.D54.A44.D54.A$35.3D53.A
43.3D53.A24$92.2A$93.A$93.A.A$94.2A$6.C$5.C$5.3C6$96.2A$96.2A5$4.3C$
4.C$5.C2$94.2A$93.A.A$93.A$92.2A23$175.2A3.2A$135.3D35.3A.A2.2A$36.3D
96.D36.A4.A$36.D99.D35.A2.2A.4A$37.D133.2A.A.A.A2.A$172.A.A.A.A$172.A
.A.2A$173.A2$186.2A$177.2A7.A$177.2A5.A.A$184.2A3$158.A$158.3A$161.A$
160.2A$174.2A$175.A$172.3A$172.A2$197.A$170.2A7.2A14.5A$163.2A5.A.A7.
A13.A5.A$163.2A7.A7.A.A12.3A2.A$172.2A7.2A15.A.2A$195.4A2.A$159.A30.
2A3.A3.2A$158.A.A.2A26.2A4.3A$158.A.A.A.A33.A$155.2A.A.A.A.A2.A30.A.
2A$155.A2.A2.2A.4A29.2A.2A$157.2A4.A$163.A.2A.A$164.A2.2A20.2A$165.A
23.A$166.5A14.2A3.3A$171.A13.A6.A$168.3A12.A.A$167.A15.2A$167.4A$165.
2A3.A3.2A$164.A2.3A4.2A$164.2A.A$167.A$167.2A3$175.2A$176.A$173.3A$
173.A$189.3A$90.3A96.A$90.A99.A$91.A24$156.2A3.2A$156.2A2.A.3A$160.A
4.A$156.4A.2A2.A$156.A2.A.A.A.2A$159.A.A.A.A$160.2A.A.A$164.A2$150.2A
$151.A7.2A$151.A.A5.2A17.A$152.2A22.3A$175.A$175.2A3$183.2A.2A$184.A.
2A$162.2A20.A$162.A13.2A4.3A$143.A19.3A10.2A3.A3.2A$141.5A14.3A2.A15.
4A2.A$140.A5.A13.A2.A.A.2A15.A.2A$140.A2.3A12.A.A.A.A.A.A12.3A2.A$64.
2A3.2A68.2A.A15.2A2.A3.A13.A5.A$62.3A.A2.2A68.A2.4A16.5A14.5A$61.A4.A
73.2A3.A3.2A32.A$61.A2.2A.4A71.3A4.2A13.A$60.2A.A.A.A2.A71.A20.A.A$
61.A.A.A.A71.2A.A21.A$61.A.A.2A72.2A.2A$62.A2$75.2A73.2A$66.2A7.A75.A
$66.2A5.A.A72.3A$73.2A73.A4$57.D99.D$56.D99.D$56.3D97.3D$63.2A$64.A$
61.3A$61.A16$89.3A97.3A$89.A99.A$90.A99.A28$5.C$4.C$4.3C2$2.2A98.2A$
3.A99.A$3A97.3A$A99.A!
Looks like it's also possible to connect the glider outputs to different glider inputs -- it might be worth avoiding the nested loops.

...Yes, a color-changing Snark would be nice to have. It seems that adding more of this sort of Snark won't allow you to change a glider stream's phase mod 4 or mod 8. Depending on the situation, that kind of phase adjustment capability can come in pretty handy. Or maybe I should just be wishing for a small stable inline +1 or -1 rephaser --!

skomick
Posts: 82
Joined: February 11th, 2011, 11:41 pm

Re: Just the place for a Snark!

Post by skomick » April 29th, 2013, 10:32 pm

Here's a variable glider gun i made using snarks. It has a period 639+8n (the p639 example below is smaller by bounding box than the current p639 glider gun in Jason Summers' collection). Moving the two snarks at the SW corner n cells to the SW will increase the period 8n generations. At p663, two more signals can be added to make a p221 glider gun (also in the example).

Code: Select all

x = 236, y = 101, rule = B3/S23
66b2o3b2o123b2o3b2o$66b2o2bob3o121b2o2bob3o$70bo4bo124bo4bo$66b4ob2o2b
o120b4ob2o2bo$66bo2bobobob2o119bo2bobobob2o$69bobobobo123bobobobo$70b
2obobo124b2obobo$74bo129bo2$60b2o128b2o$61bo7b2o120bo7b2o$61bobo5b2o
120bobo5b2o$62b2o128b2o$36bo20bo108bo20bo$34b3o11bo7bobo105b3o11bo7bob
o$20bo12bo14b3o6bo92bo12bo14b3o6bo$9b2o7b3o12b2o16bo87b2o7b3o12b2o16bo
$10bo6bo32b2o88bo6bo32b2o$10bobo4b2o121bobo4b2o$11b2o59b2o22bo44b2o59b
2o22bo$72bo21b3o105bo21b3o$73b3o17bo109b3o17bo$75bo17b2o110bo17b2o$25b
3o15b2o25b2o83b3o15b2o25b2o$22bo4bo15b2o25bo81bo4bo15b2o25bo$21b2o3bo
41bobo30b2ob2o45b2o3bo41bobo30b2ob2o$20b2o46b2o32bob2o44b2o46b2o32bob
2o$21bo2bo77bo48bo2bo77bo$22b2o66bo3b2o4b3o49b2o66bo3b2o4b3o$55b2o34b
2ob2o3bo3b2o80b2o34b2ob2o3bo3b2o$46b2o6bobo33b2o7b4o2bo70b2o6bobo33b2o
7b4o2bo$26b2o19bo6bo30b2o15bob2o50b2o19bo6bo30b2o15bob2o$26bobo17bo6b
2o29bobo12b3o2bo51bobo17bo6b2o29bobo12b3o2bo$28bo17b2o36bo13bo5bo53bo
17b2o36bo13bo5bo$2b2o24b2o53b2o14b5o28b2o24b2o53b2o14b5o$3bo97bo31bo
97bo$3o127b3o$o9b2o118bo9b2o$9bobo45b2o80bobo45b2o$9bo46bobo80bo46bobo
$8b2o46bo81b2o46bo$55b2o128b2o2$45bo129bo$43b3o127b3o$42bo129bo$42b2o
128b2o3$50b2ob2o125b2ob2o$51bob2o12b2o112bob2o12b2o$51bo15b2o112bo15b
2o$43b2o4b3o121b2o4b3o$43b2o3bo3b2o119b2o3bo3b2o$48b4o2bo123b4o2bo$34b
2o15bob2o109b2o15bob2o$33bobo12b3o2bo109bobo12b3o2bo$26bo6bo13bo5bo2b
2o105bo13bo5bo2b2o9bo$26b3o3b2o14b5o4bo19b2o83b2o14b5o4bo8b3o8b2o$29bo
20bo6bobo17bo102bo6bob2o3bo4bo7bo$28b2o28b2o15bobo75bo34bo5bo4bo5bobo$
62b2o6bo4b2o76b3o36b2o4bo6b2o$61bo2bo4bobo84bo32bo3b2o2bo$17b2ob2o40b
2o5bobo83b2o39bo$17b2obo37b2o10bo117bo3bo2bo$20bo36bobo102bo24bob2o2b
2o$20b3o4b2o28bo86b2ob2o12bo25bo$18b2o3bo3b2o27b2o86b2obo13b3o22b2o$
17bo2b4o47b2o74bo53b2o$17b2obo15b2o33bo75b3o4b2o45bo$18bo2b3o12bobo33b
3o70b2o3bo3b2o46b3o$18bo5bo13bo35bo69bo2b4o53bo$19b5o14b2o104b2obo15b
2o$21bo123bo2b3o12bobo$145bo5bo13bo$46bo99b5o14b2o$44b3o101bo$43bo61bo
129bo$43b2o58bobo67bo59bobo$104b2o65b3o60b2o$170bo$170b2o4$33b2o$32bob
o5b2o$32bo7b2o$31b2o127b2o$159bobo5b2o$45bo113bo7b2o$41b2obobo111b2o$
40bobobobo$37bo2bobobob2o124bo$37b4ob2o2bo121b2obobo$41bo4bo120bobobob
o$37b2o2bob3o118bo2bobobob2o$37b2o3b2o120b4ob2o2bo$168bo4bo$164b2o2bob
3o$164b2o3b2o!
Shannon Omick

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calcyman
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Re: Just the place for a Snark!

Post by calcyman » April 30th, 2013, 2:23 pm

Does this return anything interesting?

Code: Select all

#S first-encounter.24
#S last-encounter 65
#S repair-interval 50
#S stable-interval 8
#S max-live 500
#S max-active 8
#P 0 0
.....................................
.....................................
....................................?
.....................*.............??
..........@........***............???
...........@......*..............????
.........@@@......**............?????
...............................??????
..............................???????
.............................????????
...................@@.......?????????
...................@@......??????????
..........................???????????
........**...............????????????
.......*.*........???????????????????
.......*..........???????????????????
......**..........???????????????????
.........????????????????????????????
..????????????.???.??????????????????
..???????????????????????????????????
..???????????????????????????????????
..???????????????????????????????????
..???????????????????????????????????
..???????????????????????????????????
..???????????????????????????????????
..???????????????????????????????????
..???????????????????????????????????
..???????????????????????????????????
..???????????????????????????????????
..???????????????????????????????????
#F 46 19 10
.....
.***.
...*.
..*..
.....
Visual C++ Studio refuses to compile, throwing tons of errors. Do you have a 64-bit Windows executable?
What do you do with ill crystallographers? Take them to the mono-clinic!

MikeP
Posts: 105
Joined: February 7th, 2010, 9:51 am
Location: Ely, Cambridgeshire, UK

Re: Just the place for a Snark!

Post by MikeP » May 1st, 2013, 4:58 am

calcyman wrote:Does this return anything interesting?
That's another way of triggering the same honey farm explosion. I haven't tried searching that one. It's certainly worth looking at (and there are others, too - I'll try and remember to post my collection later).
calcyman wrote:Visual C++ Studio refuses to compile, throwing tons of errors. Do you have a 64-bit Windows executable?
Hmm. I just tried building it with a C++ compiler, and yeah, I see what you mean.

I don't have access to a Windows machine at the moment, but I seem to remember it's not very easy to tell the MS tools to compile stuff as C rather than C++. I'll have a go at fixing it up to build as C++ - maybe this will get it going for you.

MikeP
Posts: 105
Joined: February 7th, 2010, 9:51 am
Location: Ely, Cambridgeshire, UK

Re: Just the place for a Snark!

Post by MikeP » May 1st, 2013, 8:38 am

Sourceforge project page for my searcher: https://sourceforge.net/projects/bellman/

I'll post updates (such as making it C++-friendly) there, rather than cluttering this thread.

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dvgrn
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Re: Just the place for a Snark!

Post by dvgrn » May 1st, 2013, 11:47 am

I've built a few trial Herschel-to-spaceship converters. These are prototypes based on an initial round of Hersrch searches, so they're unlikely to be optimal. I didn't find anything smaller that uses the spare glider from the L156.

Code: Select all

#C 124x129 and 124x114 Herschel-to-LWSS converters
#C All of these use Guam's new Rx140 conduit along with Brice Due's F171,
#C  so they're slow to recover (260 ticks).
x = 534, y = 129, rule = B3/S23
106b2o218b2o188b2o$88bo18bo200bo18bo170bo18bo$88b3o16bobo198b3o16bobo
168b3o16bobo$91bo16b2o201bo16b2o171bo16b2o$90b2o218b2o188b2o$83bo219bo
$24bo12b2o44b3o158bo12b2o44b3o128bo12b2o$24b3o10b2o4b2o41bo35b2o120b3o
10b2o4b2o41bo35b2o90b3o10b2o83b2o$27bo15bo41b2o35b2o123bo15bo41b2o35b
2o93bo94b2o$26b2o13bobo202b2o13bobo172b2o$41b2o65bo152b2o65bo189bo$46b
2o34b2o24bo157b2o34b2o24bo127b2o34b2o24bo$46b2o35bo24b3o155b2o35bo24b
3o125b2o35bo24b3o$83bobo24bo192bobo24bo162bobo24bo$44b4o36b2o178b4o36b
2o148b4o36b2o$44bo2bo216bo2bo186bo2bo$42bobo2bobo212bobo2bobo182bobo2b
obo$42b2o4bobo8bo18bo183b2o4bobo8bo18bo153b2o4bobo8bo18bo$49bo3b2o4b3o
7b2o7b3o188bo3b2o4b3o7b2o7b3o158bo3b2o4b3o7b2o7b3o$53b2o7bo6bo11bo191b
2o7bo6bo11bo161b2o7bo6bo11bo$61b2o4bobo10b2o199b2o4bobo10b2o169b2o4bob
o10b2o$67b2o218b2o188b2o2$54bo54bo164bo54bo134bo54bo$11b2o39b3o52bo
123b2o39b3o52bo93b2o39b3o52bo$12bo39bo54b2o123bo39bo54b2o93bo39bo54b2o
$9b3o40bo53bobo120b3o40bo53bobo90b3o40bo53bobo$9bo69bo149bo69bo119bo
69bo$79bo219bo189bo$41b2o36b3o179b2o36b3o149b2o36b3o$41bo39bo179bo39bo
149bo39bo$42b3o217b3o187b3o$27b2o15bo43b2o157b2o15bo43b2o127b2o15bo43b
2o$27bo5b2o54bo157bo5b2o54bo127bo5b2o54bo$25b3o5b2o51b3o156b3o5b2o51b
3o126b3o5b2o51b3o$86bo219bo189bo2$55b2o218b2o188b2o$56bo219bo189bo$53b
3o3bob2o210b3o3bob2o180b3o3bob2o$33b2o18bo2b4ob2o190b2o18bo2b4ob2o160b
2o18bo2b4ob2o$33bobo20bo196bobo20bo166bobo20bo$35bo22b2ob2o2b2o6b2o
180bo22b2ob2o2b2o6b2o150bo22b2ob2o2b2o6b2o$35b2o22bobo4bo6bobo179b2o
22bobo4bo6bobo149b2o22bobo4bo6bobo$59bo2b4o9bo203bo2b4o9bo173bo2b4o9bo
$60bobo2bobo7b2o203bobo2bobo7b2o173bobo2bobo7b2o$61bo4b2o213bo4b2o183b
o4b2o4$25b2o218b2o188b2o$25b2o218b2o188b2o2$16b2obo216b2obo186b2obo$
16bob2o216bob2o186bob2o$34b2o218b2o188b2o$34bo219bo189bo$32bobo217bobo
187bobo$32b2o30bo187b2o188b2o30bo$62b5o14b2o389b5o14b2o$17bo43bo5bo13b
o155bo189bo43bo5bo13bo$17b3o41bo2b3o12bobo155b3o187b3o41bo2b3o12bobo$
8bo11bo39b2obo15b2o147bo11bo177bo11bo39b2obo15b2o$8b3o8b2o14bo24bo2b4o
161b3o8b2o14bo162b3o8b2o14bo24bo2b4o$11bo22bobo24b2o3bo3b2o159bo22bobo
164bo22bobo24b2o3bo3b2o$10b2o23bo27b3o4b2o158b2o23bo164b2o23bo27b3o4b
2o$63bo409bo$60b2obo406b2obo$60b2ob2o405b2ob2o3$71b2o408b2o$9bo62bo
156bo189bo62bo$9bobo57b3o157bobo187bobo57b3o$9b3o57bo159b3o187b3o57bo$
11bo11b2o206bo11b2o176bo11b2o$23bo219bo189bo42b2o3b2o$24b3o217b3o187b
3o39b2o2bob3o$26bo219bo189bo43bo4bo$476b4ob2o2bo$2b2o218b2o188b2o62bo
2bobobob2o$3bo219bo189bo65bobobobo$3o217b3o187b3o67b2obobo$o219bo189bo
73bo2$470b2o$471bo7b2o36bo$108bo362bobo5b2o18b2o14b5o$90b2o14b5o361b2o
23bo2bo13bo5bo$91bo13bo5bo385b2obobo12b3o2bo$91bobo12b3o2bo171bo215bob
2o15bob2o$92b2o15bob2o168b3o187bo27bo15b4o2bo$106b4o2bo167bo188b3o25b
3o10b2o3bo3b2o$101b2o3bo3b2o168b2o186bo27bo13b2o4b3o$101b2o4b3o358b2o
26b2o20bo$109bo372b2o34bob2o$109bob2o175b2ob2o189bo34b2ob2o$108b2ob2o
176bob2o190b3o$244bo44bo195bo$242b5o14b2o18b2o4b3o219b2o$100b2o139bo5b
o13bo19b2o3bo3b2o217bo$100bo140bo2b3o12bobo24b4o2bo165b2o26b2o22b3o$
101b3o136b2obo15b2o11b2o15bob2o164bobo5b2o18bobo5b2o17bo$103bo136bo2b
4o24bobo12b3o2bo165bo7b2o18bo7b2o$241b2o3bo3b2o19bo13bo5bo164b2o26b2o$
243b3o4b2o18b2o14b5o$76bo166bo21bo22bo181bo27bo$74b3o163b2obo21b3o198b
2obobo22b2obobo$73bo166b2ob2o23bo196bobobobo21bobobobo$73b2o192b2o193b
o2bobobob2o17bo2bobobob2o$462b4ob2o2bo18b4ob2o2bo$251b2o213bo4bo22bo4b
o$252bo209b2o2bob3o19b2o2bob3o$249b3o210b2o3b2o21b2o3b2o$249bo2$63b2o
212b2o$62bobo5b2o198b2o5bobo$62bo7b2o198b2o7bo$61b2o216b2o2$75bo190bo$
71b2obobo188bobob2o$70bobobobo188bobobobo$67bo2bobobob2o186b2obobobo2b
o$67b4ob2o2bo188bo2b2ob4o$71bo4bo188bo4bo$67b2o2bob3o190b3obo2b2o$67b
2o3b2o194b2o3b2o!
As with Herschel splitters, a H-to-LWSS converter with 62-tick recovery time should be possible, at the cost of a larger bounding box and many more Snarks.

The first H-to-MWSS I tried looks a little better, but has its own problems with recovery time. The output MWSS has to cross the path of the Snark-chain glider in a couple of places, so there's lots of room for improvement here, too:

Code: Select all

#C 96x119 H-to-MWSS converter, recovery time 472 ticks
#C (though many lower periods also work)
 x = 96, y = 119, rule = B3/S23
51b2o$21bo11b2o17bo$20bobo11bo17bobo$20bobo10bo19b2o$19b2ob2o9b2o$19bo
$20bob2o3b2o$18bobob2o3b2o38b2o$18b2o47b2o2$36b2o$36b2o2$18b2o$19bo$
19bobo$20b2o2$46b2o$33b2o12bo$33bobo8b3o$35bo8bo$35b2o4$41bo$39b5o14b
2o$21b2o8b2o5bo5bo13bo$22bo8bobo4bo2b3o12bobo$22b3o8bo3b2obo15b2o$33b
2o2bo2b4o$38b2o3bo3b2o$6bo33b3o4b2o$6b3o31bo$9bo27b2obo$8b2o27b2ob2o3$
33bo14b2o$31b3o15bo$30bo15b3o$5b2o23b2o14bo$5bo2b2o$6b2obo$7bo$7bo$6b
2obob2o18b2o$5bo2b2ob2o18bobo$6bo26bo$7b3ob2o20b2o$9bobo$11bo$10b2ob2o
$12bobo$12bo14b2o$11b2o14bo$25b3o4$91bo$73b2o14b5o$33b2o39bo13bo5bo$
33bobo38bobo12b3o2bo$35bo39b2o15bob2o$35b2o52b4o2bo$84b2o3bo3b2o$84b2o
4b3o$92bo$92bob2o$91b2ob2o2$25b2o$25b2o56b2o$83bo$16b2obo64b3o$16bob2o
66bo$34b2o$34bo$32bobo$32b2o2$17bo$17b3o$8bo11bo$8b3o8b2o14bo$11bo22bo
bo$10b2o23bo7$9bo$9bobo31bo$9b3o29b3o$11bo11b2o15bo$23bo16b2o$24b3o$
26bo2$2b2o$3bo$3o$o29b2o$29bobo5b2o$29bo7b2o$28b2o2$42bo$38b2obobo$37b
obobobo$34bo2bobobob2o$34b4ob2o2bo$38bo4bo$34b2o2bob3o$34b2o3b2o!
Here's another result from the same search, a little bigger but much cleaner, recovering in 138 ticks with no signal-crossing problems:

Code: Select all

#C 116x123 H-to-MWSS converter, recovery time 138 ticks
x = 116, y = 123, rule = B3/S23
44bo$44b3o29bo$47bo28b3o$46b2o31bo$78b2o2$98b2o$21b2o76bo$21b2o76bobo$
100b2o2$15b2o$15b2o$19b2o93b2o$19b2o93b2o4$14b2o$14b2o2$34bo3b2o$33bob
o3bo$33b2o3bo22b2o$37bo17b2o5bo30b2o$33b5obo15bobob3o25b2o5bo$33bo4b2o
8b2o7bobo27bobob3o$34b3o11b2o7b2o21b2o7bobo$36bob2o40b2o7b2o$37bobo$
21b2o31b2o3b2o$22bo31b2o2bob3o$19b3o36bo4bo$19bo34b4ob2o2bo$34b2o18bo
2bobobob2o$34bobo20bobobobo$36bo21b2obobo$36b2o24bo$38bo$36b3o9b2o$35b
o13bo7b2o$35b2o12bobo5b2o$50b2o3$77bo$75b3o$37b2o35bo$37b2o35b2o$13b2o
45b2o$12bobo45bo$12bo48b3o$11b2o27bo22bo$38b5o14b2o$37bo5bo13bo$37bo2b
3o12bobo6b2o$36b2obo15b2o6bobo5b2o$36bo2b4o20bo7b2o$37b2o3bo3b2o14b2o$
39b3o4b2o$39bo36bo$36b2obo32b2obobo$36b2ob2o30bobobobo$68bo2bobobob2o$
68b4ob2o2bo$47b2o23bo4bo$33b2o13bo19b2o2bob3o$33bobo9b3o20b2o3b2o$35bo
9bo$35b2o7$25b2o$25b2o53bo$62b2o14b5o$16b2obo43bo13bo5bo$16bob2o43bobo
12b3o2bo$34b2o28b2o15bob2o$34bo43b4o2bo$32bobo38b2o3bo3b2o$32b2o39b2o
4b3o$81bo$17bo63bob2o$17b3o60b2ob2o$8bo11bo$8b3o8b2o14bo$11bo22bobo35b
2o$10b2o23bo36bo$73b3o$75bo5$9bo$9bobo$9b3o32bo$11bo11b2o17b3o$23bo17b
o$24b3o14b2o$26bo2$2b2o$3bo$3o$o$31b2o$30bobo5b2o$30bo7b2o$29b2o2$43bo
$39b2obobo$38bobobobo$35bo2bobobob2o$35b4ob2o2bo$39bo4bo$35b2o2bob3o$
35b2o3b2o!

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