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is this c/10 spaceship known?

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

Re: is this c/10 spaceship known?

Postby muzik » March 6th, 2016, 6:52 pm

Freywa wrote:zdr is a problem with the community because he will not reveal his name or the techniques used to find the spaceship. I have reached out to him to get his details out, but it seems he's a "hit-and-run" user who only cares about the fame.

Conway's Life is a field of mathematics; like all fields of mathematics the research into it is open and honest. Yet zdr is selfish (for the reasons mentioned above). What can we do about this?

He's helped us find a new damn spaceship be thankful for that.

Not everyone wants to reveal their personal details. What we do know is that they used gfind, and the ship popped up fairly quickly.
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Re: is this c/10 spaceship known?

Postby velcrorex » March 6th, 2016, 6:55 pm

Freywa wrote:zdr is a problem with the community because he will not reveal his name or the techniques used to find the spaceship. I have reached out to him to get his details out, but it seems he's a "hit-and-run" user who only cares about the fame.

Conway's Life is a field of mathematics; like all fields of mathematics the research into it is open and honest. Yet zdr is selfish (for the reasons mentioned above). What can we do about this?


I too would love some more details, but lets be a little patient.
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Re: is this c/10 spaceship known?

Postby drc » March 6th, 2016, 6:58 pm

Freywa wrote:zdr is a problem with the community because he will not reveal his name or the techniques used to find the spaceship. I have reached out to him to get his details out, but it seems he's a "hit-and-run" user who only cares about the fame.

Conway's Life is a field of mathematics; like all fields of mathematics the research into it is open and honest. Yet zdr is selfish (for the reasons mentioned above). What can we do about this?

Yeah, he's so selfish for giving us an entirely new spaceship, with a unique speed, one of the slowest yet, and releasing it to the public. That's so selfish! (Sarcasm if you couldn't tell)
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Re: is this c/10 spaceship known?

Postby muzik » March 6th, 2016, 7:06 pm

drc wrote:
Freywa wrote:zdr is a problem with the community because he will not reveal his name or the techniques used to find the spaceship. I have reached out to him to get his details out, but it seems he's a "hit-and-run" user who only cares about the fame.

Conway's Life is a field of mathematics; like all fields of mathematics the research into it is open and honest. Yet zdr is selfish (for the reasons mentioned above). What can we do about this?

Yeah, he's so selfish for giving us an entirely new spaceship, with a unique speed, one of the slowest yet, and releasing it to the public. That's so selfish! (Sarcasm if you couldn't tell)

And let a random person name it, I feel honoured
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Re: is this c/10 spaceship known?

Postby Apple Bottom » March 6th, 2016, 7:31 pm

muzik wrote:The wiki page could really do with an animated image of the eater in action.


Done: http://conwaylife.com/wiki/File:Copperhead_eater.gif.
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Re: is this c/10 spaceship known?

Postby Sphenocorona » March 6th, 2016, 7:35 pm

Freywa wrote:zdr is a problem with the community because he will not reveal his name or the techniques used to find the spaceship. I have reached out to him to get his details out, but it seems he's a "hit-and-run" user who only cares about the fame.

Conway's Life is a field of mathematics; like all fields of mathematics the research into it is open and honest. Yet zdr is selfish (for the reasons mentioned above). What can we do about this?


Hasn't thunk already brought up a lot of reasons not to be so stringent?

Also, note that the same formalism you advocate for is one of the reasons that the guy who is credited with solving the Poincare conjecture, Grigori Perelman, dislikes the mathematics community so much... Everyone wanted to get up close and know more about him and he really just wanted to be left alone. So you need to also show some respect first, I think, and not be so rapid to accuse when he's only just joined. Don't scare people away before they have a chance to get to know the community - that will never help.

He only cares about the fame? He didn't even realize it was going to bring any fame at all! He seems to not have much time to devote to answering the rapid barrage of questions, so give him time to respond. It's like we've all turned into the spammers and are drowning the only guy with the answers.

Just... chill.
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Re: is this c/10 spaceship known?

Postby muzik » March 6th, 2016, 7:36 pm

Apple Bottom wrote:
muzik wrote:The wiki page could really do with an animated image of the eater in action.


Done: http://conwaylife.com/wiki/File:Copperhead_eater.gif.

Thanks.

Come to think of it, a lot of spaceship pages need things like these, but that's a pretty major job.
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Re: is this c/10 spaceship known?

Postby muzik » March 6th, 2016, 7:37 pm

Sphenocorona wrote:
Freywa wrote:zdr is a problem with the community because he will not reveal his name or the techniques used to find the spaceship. I have reached out to him to get his details out, but it seems he's a "hit-and-run" user who only cares about the fame.

Conway's Life is a field of mathematics; like all fields of mathematics the research into it is open and honest. Yet zdr is selfish (for the reasons mentioned above). What can we do about this?
. Don't scare people away before they have a chance to get to know the community - that will never help.

He only cares about the fame? He didn't even realize it was going to bring any fame at all! He seems to not have much time to devote to answering the rapid barrage of questions, so give him time to respond. It's like we've all turned into the spammers and are drowning the only guy with the answers.

Just... chill.

This exactly.

I'd be a bit scared if my first post caused such turbulence in a community.
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Re: is this c/10 spaceship known?

Postby dvgrn » March 6th, 2016, 7:40 pm

muzik wrote:What we do know is that they used gfind, and the ship popped up fairly quickly.

I don't think it was gfind -- zdr thought there might be a bug in gfind, accounting for why the copperhead wasn't found much sooner (by people running gfind).

How much have people looked at constructing other phases of the copperhead, besides the one that can be reached by collapsing a fumarole? I was thinking that the phase that includes two sabotaged colliding gliders didn't look too awful:

x = 17, y = 12, rule = B3/S23
5bobo2$7bo$2bo2b2o$3o3b2o3bobo$obo8b2o$obo9bo$3o3b2o7bo$2bo2b2o7b2o$7b
o6bobo2$5b2o!

It doesn't seem terribly easy to charge in there with those sabotaging domino/obo sparks after the colliding gliders go by, though. What's the cheap way to do that? I bet it doesn't involve HWSSes:

#C add red cells at T=10,
#C    and don't actually use HWSSes,
#C    at least not in this orientation...
x = 21, y = 32, rule = LifeHistory
14.A$13.A$13.3A2$2.2A$A4.A$6.A$A5.A$.6A2$10.A.A$10.2A5.A$11.A3.2A$4.D
11.2A$2.3D$2.D.D$2.D.D$2.3D$4.D$11.A$10.2A7.2A$10.A.A5.2A$20.A$.6A$A
5.A$6.A$A4.A$2.2A2$13.3A$13.A$14.A!
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Re: is this c/10 spaceship known?

Postby muzik » March 6th, 2016, 7:48 pm

dvgrn wrote:
muzik wrote:What we do know is that they used gfind, and the ship popped up fairly quickly.

I don't think it was gfind -- zdr thought there might be a bug in gfind, accounting for why the copperhead wasn't found much sooner (by people running gfind).

Exactly. Maybe nobody had ever searched for a c/10 orthogonal in gfind before, although this seems pretty unlikely. It could be that different settings or something had been used, but I haven't even seen the interface of gfind so I'm not 100% with that either.



And can someone make an updated version of this image? We now have both c/10 and 31c/240 to add to the family, it would be nice to have those included in the image.

http://pentadecathlon.com/lifeNews/2013 ... cities.png
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Re: is this c/10 spaceship known?

Postby Sokwe » March 6th, 2016, 8:50 pm

muzik wrote:Maybe nobody had ever searched for a c/10 orthogonal in gfind before, although this seems pretty unlikely. It could be that different settings or something had been used, but I haven't even seen the interface of gfind so I'm not 100% with that either.

Josh Ball ran the relevant gfind search and found it in about an hour. This ship could have easily been found 15 years ago. In fact, this ship has a predecessor that's so small, it could have been found by a brute-force search of all patterns in a 3*11 bounding box:
x = 6, y = 11, rule = B3/S23
b4o2$bo2bo$ob2obo$o4bo2$o4bo$2o2b2o$6o$bo2bo$b4o!

It might be interesting to use a distributed search to run every pattern in some small bounding boxes or bounding diamonds. I imagine much of the code and framework could be taken from the Catagolue project.

dvgrn wrote:I don't think it was gfind -- zdr thought there might be a bug in gfind, accounting for why the copperhead wasn't found much sooner (by people running gfind).

Indeed, as zdr said:
zdr wrote:This is why I suspected a bug in gfind, it is small enough that someone should have found it by now.
The search takes 19 seconds with a basic dfs program.

Since gfind is not depth-first, and certainly can't find this ship in 19 seconds, it's reasonable to conclude that zdr used a custom-made program. I would certainly like to hear how this program works directly from zdr.

If I were to guess, I would suspect that the search only looks at the pattern in a single generation, which takes advantage of the width-6 generations. With a bit of luck in the search order, it might give the spaceship fairly quickly. Even still, 19 seconds seems awfully fast. I would love to see if there are any clever tricks that helped with the discovery.
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Re: is this c/10 spaceship known?

Postby gmc_nxtman » March 6th, 2016, 10:49 pm

Way too big p376 gun:

x = 696, y = 659, rule = B3/S23
372b2o269bo3b2o7bo$371b4o251bo7b2o5b3o3b2o5b3o$626b3o5b2o4bo12bo8b2o$
370b6o243b2o8bo10b2o11b2o7bo$371b4o245bo7b2o30bobo$620bobo37b2o$370b2o
2b2o245b2o24b3o$368b2obo2bob2o268bo4bob2obo9bo$371bo2bo184bo3b2o7bo43b
o17b2o10bo3bobo3bo7b3o$542bo7b2o5b3o3b2o5b3o43b3o6b3o6b2ob2o7bo4bo4bo
6bo$542b3o5b2o4bo12bo8b2o39bo5bo4bo5bo10b2o5b2o7b2o$372b2o161b2o8bo10b
2o11b2o7bo39b2o6bo3bo18bo3bo$372b2o162bo7b2o30bobo52bo17bo3bo$536bobo
15bo21b2o50bo3bo17b3o$537b2o14b3o4b2o67b2obo32b2ob2o$552b5o3bobo19bo
30b2ob2o13bo33b2obo2bo$532bo18bob2ob2o2bo2bo16b3o28bo2bob2o50bob2o$
532b3o16b4o2bo5bo15bo31b2obo53bo$535bo14b2obo2bo22b2o33bo52b2o$534b2o
16bob3o4b2o51b2o48bobo2b2o$561bo10bobo37b2o2bobo45b2o2bo2bo$556b2o53bo
2bo2b2o32b2o16b2o$544bo30b2o4b2ob2o26b2o16b2o20bo$529b2ob2o9bobo23b2o
4bo5b2obo2bo42bo18b3o5b2o$527bo2bob2o8bo3bo21bobo3b2o8bob2o11bo18bo5b
2o5b3o6b2o7bo7b2o$527b2obo11bo3bo21bo15bo14b3o6b2o6b3o5b2o7bo6b2o$530b
o11bo3bo22b2o12b2o17bo5b2o5bo$530b2o11bobo34bobo2b2o14b2o12b2o$528b2o
2bobo9bo35b2o2bo2bo53bobo$527bo2bo2b2o32b2o16b2o57bo$528b2o16b2o20bo
33b2o36bo4bo2b2o$546bo18b3o5b2o27b2o3b2o31b2obo2bob2o$540b2o5b3o15bo7b
2o32b2o35b2o$540b2o7bo3$125bo7b2o3bo450bo7bo$125b3o5b2o3b3o5b2o7bo381b
2o5b2o14bo28b3o5b3o$118b2o8bo12bo4b2o5b3o382bo5bobo9b2o2b2ob3o26bo7bo$
119bo7b2o11b2o10bo8b2o208b4o163bobo4b3o8b2o4b4o25b2o6b2o$119bobo30b2o
7bo377b2o5b3o11b2o$120b2o13bo23bobo209bo2bo167b2o3b2o23bo$134bo24b2o
209bob2obo166b2o4b2o22b3o$115bo254bo4bo171b2o26bo$115b3o17bo2b2o25bo
43bo7b2o3bo321bo17bo11b2o11b2o$118bo14b2ob3obo22b3o43b3o5b2o3b3o5b2o7b
o130bo4bo163b2o19b3o24b2o$117b2o17bob2o3b2o8bo8bo39b2o8bo12bo4b2o5b3o
130b2o2b2o161bob2o18bo$133bobo17bo8b2o39bo7b2o11b2o10bo8b2o123b6o160bo
22b2o$127bo15b3o57bobo30b2o7bo125bo2bo164bo4b2o$126b3o12bo2b2o5bobobo
48b2o37bobo126b2o161b2obo6bo$112b2ob2o8b5o12b2o7b5o58b2o27b2o127b2o
161b2o8bob2o$110bo2bob2o7b2o3b2o17b2o4bob2o6b2ob2o30bo13bob3o17bo310bo
2bo$110b2obo9b3o3b3o15bo4bo2b2obo5b2obo2bo28b3o11bo4bo14b2obo12bo297b
2o$113bo10b2o3b2o22bobo2b3o6bob2o31bo10bo5bo13bo2bo10b3o256bo3b2o7bo
42b2o$113b2o10b5o17b2o5b2o11bo33b2o15b2o8bo4b3o10bo242bo7b2o5b3o3b2o5b
3o42b2o$111b2o2bobo8b3o22b5o10b2o48bo10bo2bo15b2o241b3o5b2o4bo6b2o4bo
8b2o$110bo2bo2b2o9b3o23bo9bobo2b2o33b3o8bo2bo10b2o252b2o8bo10b2o5bo5b
2o7bo$111b2o16b2o32b2o2bo2bo29b2o13b2o266bo7b2o15b2ob2o10bobo$129bo20b
2o16b2o26b2obo7bo8bo266bobo22b2ob2o10b2o46bo3b2o$123b2o5b3o18bo42bo2bo
bo7bo40b2ob2o231b2o23bobobo56bobo3bo$123b2o7bo7b2o6b3o5b2o5bo18bo11b2o
bobo2bo2bobo40b2obo2bo254bo2b3o14bo39bobo3bo$140b2o6bo7b2o5b3o6b2o6b3o
14bo53bob2o224bo19b2o6bobo2b2o13b3o35b2obobo3bo12b2o$166bo5b2o5bo17b2o
52bo227b3o13b2ob3o6b2o17bo38b2obo2b4obo10bo$165b2o12b2o14b2o2bobo48b2o
230bo12b2ob2obo5b2o17b2o41bobo3bobo10b3o$138bobo53bo2bo2b2o45bobo2b2o
227b2o12b2ob3o64b2ob2o2bo2bobo12bo$137bo57b2o16b2o32b2o2bo2bo237bo7bo
7bo57bobo2b2o3bo$132b2o2bo4bo36b2o33bo20b2o16b2o237b3o21b2o37b2o10bobo
$132b2obo2bob2o31b2o3b2o27b2o5b3o18bo254b2ob2o19bobo11b2ob2o21b2o11bo$
136b2o35b2o32b2o7bo7b2o6b3o5b2o234b2ob2o8b3o2b2o17bo2bo11b2obo2bo$224b
2o6bo7b2o232bo2bob2o9b2o2b2o18b2o15bob2o11bo18bo$474b2obo15b3o35bo14b
3o6b2o6b3o$477bo15b2o35b2o17bo5b2o5bo$184bo7bo284b2o48bobo2b2o14b2o12b
2o$182b3o5b3o28bo14b2o5b2o230b2o2bobo45b2o2bo2bo$181bo7bo26b3ob2o2b2o
10b2o5bo230bo2bo2b2o32b2o16b2o$181b2o6b2o25b4o4b2o15bobo231b2o16b2o20b
o33b2o$220b2o19b2o129b2o119bo18b3o5b2o27b2o3b2o$209bo27b2o131b2o2b2o
111b2o5b3o15bo7b2o32b2o$207b3o27bobo132b2o113b2o7bo$206bo31bo130bo6bo$
183b2o8b2o11b2o11bo150bo4bo$182bobo8b2o24b3o19b2o129b2o162bo7bo$178bo
5bo37bo18b2obo124b3o2b3o107b2o5b2o14b2o2bo24b3o5b3o$175b2o2bo41b2o22bo
123b2o4b2o108bo5b2o10b2o2b2o3bo26bo7bo$174bo5bo55b2o4bo242bobo15b2o7bo
25b2o6b2o$173b2ob2o58bo6bob2o239b2o20b4o$174b4o3bo51b2obo8b2o125b2o
116b2o27bo$175bo4bo51bo2bo135bo2bo114bobo27b3o$177b3o53b2o255bo31bo64b
o$177bo40b2o42bo7b2o3bo233bo11b2o62b2o$218b2o42b3o5b2o3b3o5b2o7bo192b
3o19b3o76b2o$255b2o8bo12bo4b2o5b3o192b3o18bo21bo4bo$256bo7b2o11b2o10bo
8b2o185b3o18b2o19bo4bob2o$256bobo30b2o7bo183b3o6b2o35bo3bobobo$205b2o
3bo46b2o37bobo183b3o7bo40bo2bo$176bo28bo3bobo84b2o184b3o7bob2o38bo34bo
$177b2o27bo3bobo39bo240bo2bo33b2obo33b2o$176b2o15b2o12bo3bobob2o35b3o
47bo149bo3b2o7bo28b2o34bo2bo34b2o$194bo10bob4o2bob2o38bo7b3o22b3o9b3o
132bo7b2o5b3o3b2o5b3o43b2o20b3o$191b3o10bobo3bobo41b2o10bo20b2o2bo7bo
135b3o5b2o4bo12bo8b2o36b2o$191bo12bobo2bo2b2ob2o48b2o19bo3bo8b2o127b2o
8bo10b2o11b2o7bo$205bo3b2o2bobo43b2o26b3o139bo7b2o30bobo$213bobo10b2o
30b2o2bo25bo140bobo37b2o$214bo11b2o21b2ob2o3bo4bo33b2o132b2o19bo66bo3b
2o$247bo2bob2o2b3o2bo33bo2bo2b2ob2o144bobo4bo17bo41bobo3bo$216bo18bo
11b2obo6bo4bo7bo23b3o4b2obo2bo117bo31bo15b3o40bobo3bo$216b3o6b2o6b3o
14bo6b3ob3o7b2o17b3o2b2o7bob2o117b3o9b2o11b2o3b2o5b2o8bo39b2obobo3bo
12b2o$219bo5b2o5bo17b2o6bo3bo7b2o17bo3b2o9bo123bo7bo2bo21b3o8b2o38b2ob
o2b4obo10bo$218b2o12b2o14b2o2bobo4b3o19bobo5bo13b2o122b2o8bobo25bo50bo
bo3bobo10b3o$247bo2bo2b2o5bo20b2o10bo6bobo2b2o131b2o22b2obo46b2ob2o2bo
2bobo12bo$248b2o16b2o14bo8b2o7b2o2bo2bo123bo33bo2bo44bobo2b2o3bo$231b
2o33bo20b2o16b2o155b2o3bobo4b2ob2o34bobo$226b2o3b2o27b2o5b3o18bo133b2o
b2o3b2o25bo8b2ob2o3b2obo2bo33bo$226b2o32b2o7bo15b3o5bo126bo2bob2o3b2o
24bo9bo2bo7bob2o11bo18bo$285bo7b2o75b2o2b2o44b2obo6bobo2b2o19b3o6b2ob
2o7bo14b3o6b2o6b3o$370b2o2b2o47bo8bo2b3o7bo20bobo7b2o17bo5b2o5bo$369b
3o2b3o46b2o7bobobo6bobo21bo5bobo2b2o14b2o12b2o$237bo7bo123b3o2b3o44b2o
2bobo3b2ob2o8b2o27b2o2bo2bo$235b3o5b3o24bo2b2o14b2o5b2o122bo2bo2b2o3b
2ob2o24b2o16b2o$234bo7bo26bo3b2o2b2o10b2o5bo72bo6bo44b2o10bo5b2o20bo
33b2o$234b2o6b2o25bo7b2o15bobo72bo2b2o2bo56b2o4bo18b3o5b2o27b2o3b2o$
270b4o20b2o74b6o57b2o5b3o15bo7b2o32b2o$262bo27b2o141b2o7bo$260b3o27bob
o$259bo31bo80b2o$246b2o11b2o11bo99b2o77b2o29bo7bo$246b2o24b3o19b3o133b
2o5b2o11b3o29b3o5b3o$275bo18b3o134bo5b2o10bobo2bo2b2o26bo7bo$274b2o4bo
13b3o134bobo15b2o2b2o2b2o25b2o6b2o$279bo9b2o6b3o132b2o19b2o$279b3o7bo
7b3o136b2o27bo$286b2obo7b3o135bobo27b3o$285bo2bo143b2o2bo31bo$286b2o
32bo7b2o3bo121bo11b2o11b2o$271b2o47b3o5b2o3b3o5b2o7bo80bo3bo17b3o24b2o
$271b2o40b2o8bo12bo4b2o5b3o79bo4bo16bo$314bo7b2o11b2o10bo8b2o71bobobo
11bobo4b2o$314bobo30b2o7bo71bobobo4b2o7b2o$315b2o37bobo69bo4bo6bo7bo$
258b2o3bo60bo19b3o7b2o70bo3bo7bob2o$258bo3bobo45bo12bobo17bo3bo91bo2bo
$259bo3bobo44b3o10bob2o15bo5bo11bo67b2o10b2o$246b2o12bo3bobob2o43bo10b
2o3bobo10bo5bo9b3o51bo3b2o7bo29b2o$247bo10bob4o2bob2o42b2o16b2o10bo5bo
8bo37bo7b2o5b3o3b2o5b3o29b2o$244b3o10bobo3bobo64b2o11bo3bo9b2o36b3o5b
2o4bo12bo8b2o$244bo12bobo2bo2b2ob2o45b2o27b3o41b2o8bo10b2o11b2o7bo$
258bo3b2o2bobo120bo7b2o8b3o19bobo$266bobo10b2o26b2ob2o77bobo14b3o20b2o
33bo3b2o$267bo11b2o24bo2bob2o47b2ob2o26b2o14b4o2b3o48bobo3bo$274bo18bo
11b2obo50b2obo2bo43b4o3bo18bo26bobo3bo$274b3o6b2o6b3o14bo53bob2o19bo
23b2o2b4o16b3o22b2obobo3bo12b2o$277bo5b2o5bo17b2o52bo9b2o11b3o22b2o2bo
bo15bo25b2obo2b4obo10bo$276b2o12b2o14b2o2bobo48b2o8bo2bo13bo15b4o2bo3b
2o16b2o28bobo3bobo10b3o$305bo2bo2b2o45bobo2b2o6bo2bo12b2o15b5o7bo41b2o
b2o2bo2bobo12bo$306b2o16b2o32b2o2bo2bo4bo4bo29b5o4b2o43bobo2b2o3bo$
289b2o33bo20b2o16b2o5bo4bo52b2o17b2o10bobo$284b2o3b2o27b2o5b3o18bo24b
4o21b3o29b2o4b2ob2o8b2o11bo$284b2o32b2o7bo7b2o6b3o5b2o17b2o2b2o6b2ob2o
8bo3bo22b2o3bobo4b2obo2bo$335b2o6bo7b2o17bo4bo4bo2bob2o7bo5bo20bob2o
12bob2o11bo18bo$370bo4bo4b2obo10bo5bo20bobo13bo14b3o6b2o6b3o$383bo10bo
5bo21bo13b2o17bo5b2o5bo$295bo7bo79b2o10bo3bo33bobo2b2o14b2o12b2o$293b
3o5b3o28b4o11b2o5b2o15b4o6b2o2bobo8b3o34b2o2bo2bo$292bo7bo26b2o7bo10b
2o5bo17b2o6bo2bo2b2o32b2o16b2o$292b2o6b2o25b2o2b2o3bo15bobo26b2o16b2o
20bo33b2o$331b2o2bo16b2o45bo18b3o5b2o27b2o3b2o$320bo27b2o43b2o5b3o15bo
7b2o32b2o$318b3o27bobo42b2o7bo$295b2o20bo31bo3bo$296b2o6b2o11b2o11bo
21b2o$295bo8b2o24b3o18bob2o56b2o29bo7bo$284b3o46bo16b3o2bo34b2o5b2o11b
3o29b3o5b3o$332b2o18bobobo34bo5b2o10bobo2bo2b2o26bo7bo$282b2obobob2o
56b2o4bobobo33bobo15b2o2b2o2b2o25b2o6b2o$282bo2bobo59bo6bo2b3o32b2o19b
2o$254bo27b3obo57b2obo7b2obo37b2o27bo65bo$255bo35bo51bo2bo9b2o37bobo
27b3o15b2o45bo$253b3o29bo5bo52b2o10bo35b2o2bo31bo13b5o43b3o$290b2o37b
2o84bo11b2o13bo4bo$288b2o39b2o60bo3bo17b3o26b3o2bo$390bo4bo16bo30bo2b
2o$389bobobo18b2o30b2o$252bo135bobobo4b2o94bo$253b2o61b2o3bo64bo4bo6bo
74bobo15b2o$252b2o62bo3bobo63bo3bo7bob2o71b2o17b2o$317bo3bobo75bo2bo
71bo$304b2o12bo3bobob2o60b2o10b2o$305bo10bob4o2bob2o87b2o$302b3o10bobo
3bobo48b2o41b2o$270bo31bo12bobo2bo2b2ob2o43b4o62bobo35bo$271b2o43bo3b
2o2bobo113bo32b2o$270b2o52bobo10b2o31b6o61bo2bo33b2o$325bo11b2o32b4o
49bo3b2o7bobo$423bobo3bo$370b2o2b2o46bobo3bo$368b2obo2bob2o40b2obobo3b
o12b2o$371bo2bo43b2obo2b4obo10bo$422bobo3bobo10b3o$418b2ob2o2bo2bobo
12bo$372b2o45bobo2b2o3bo$372b2o33b2o10bobo$407b2o11bo26$371b4o2$371bo
2bo$370bob2obo$370bo4bo2$370bo4bo$370b2o2b2o$370b6o$371bo2bo$372b2o$
372b2o26$372b2o$370b2o2b2o$372b2o$369bo6bo$370bo4bo$348bo23b2o23bo$
349bo19b3o2b3o14bobo2bo$347b3o19b2o4b2o14b2o3b3o$365bo26bo$366bo$364b
3o5b2o$371bo2bo$346bo52bo$347b2o30bobo15b2o$346b2o31b2o17b2o$380bo4$
364bo16bo$365b2o12b2o$364b2o14b2o2$359b3o$361bo$360bo7$367b3o6b3o$369b
o6bo$368bo8bo6$365b2o12b2o$364bobo12bobo$366bo12bo5$366b2o$347bo17bobo
30bo$347b2o18bo29b2o$346bobo35b2o11bobo$383b2o$385bo3$350b3o40b3o$344b
2o6bo40bo6b2o$345b2o4bo42bo4b2o$344bo56bo59$265b3o$267bo$266bo2$335bo
11b2o56b2o11bo$334bobo10b2o56b2o10bobo$326bo3b2o2bobo80bobo2b2o3bo$
312bo12bobo2bo2b2ob2o78b2ob2o2bo2bobo12bo$312b3o10bobo3bobo86bobo3bobo
10b3o$273b3o39bo10bob4o2bob2o78b2obo2b4obo10bo31b3o$275bo38b2o12bo3bob
ob2o78b2obobo3bo12b2o30bo$274bo52bo3bobo86bobo3bo44bo$326bo3bobo88bobo
3bo$326b2o3bo90bo3b2o3$435b3o$271b2o66b2o72b2o19bo2bo35b2o$270bobo66b
2o72b2o22bo35bobo$272bo81b2o31bo10b2o34b3o36bo$353bo2bo9bo19b2o9bo2bo$
354b2obo7b3o17bob2o7bob2o$357bo6bob3o15b3o2bo6bo$357b2o4bo3bo18bobobo
4b2o$305b2obo33b2o18bo3bo20bobobo18b2o26bo$253bo48bobo3bo34bo17b3obo
22bo2b3o16bo27b2o52bo$253b2o47bo11b2o24b3o19b3o24b2obo18b3o23b2o52b2o$
252bobo47bobo9b2o11b2o11bo22bo26b2o21bo11b2o51b2o11bobo$306bobo18bo31b
o30bo3bo31bo50b2o$328b3o27bobo32bobo27b3o53bo$330bo7bobo17b2o34b2o27bo
$341bo20b2o26b2o16bo2b2o$256b3o43b2o6b2o25bo4bo2b2o15bobo24bobo15bo3b
2o2b2o25b2o6b2o$250b2o6bo43bo7bo26b2obo2bob2o10b2o5bo24bo5b2o10bo7b2o
26bo7bo42b2o$251b2o4bo45b3o5b3o27b2o14b2o5b2o22b2o5b2o11b4o28b3o5b3o
42b2o$250bo54bo7bo126bo7bo46bo3$353bo7b2o28b2o7bo$294b2o32b2o7bo15b3o
5b2o28b2o5b3o15bo7b2o32b2o$294b2o3b2o27b2o5b3o18bo40bo18b3o5b2o27b2o3b
2o$299b2o33bo20b2o16b2o4b2o16b2o20bo33b2o$316b2o16b2o32b2o2bo2bo2bo2bo
2b2o32b2o16b2o$315bo2bo2b2o45bobo2b2o4b2o2bobo45b2o2bo2bo$286b2o12b2o
14b2o2bobo9bo28b3o7b2o8b2o48bobo2b2o14b2o12b2o$287bo5b2o5bo17b2o10b5o
17b2o7bobo8bo8bo52b2o17bo5b2o5bo$284b3o6b2o6b3o14bo11b2o5b2o12b2o8bo2b
o7bob2o2b2obo11b5o21bo15bo14b3o6b2o6b3o$284bo18bo11b2obo6b3o2bobo20bo
8bobo4b2obo2bo2bo2bob2o8b2o23b4o13bob2o11bo18bo$315bo2bob2o5bob2o2bo4b
o8bo9b2o3b3o4b2ob2o6b2ob2o7bo3b2o19bo2b2o10b2obo2bo$282bo11b2o21b2ob2o
6b2obo4b2o9bo8bo2bo32b2o24bo3bo9b2ob2o18b2o11bo$281bobo10b2o34b5o23b3o
32bo25b3o33b2o10bobo$273bo3b2o2bobo46bobobo21bo2bo34bo24b3o45bobo2b2o
3bo$259bo12bobo2bo2b2ob2o54b3o8b2o5b2o8b2o16b2o18bo5b2o53b2ob2o2bo2bob
o12bo$259b3o10bobo3bobo41b2o8bo24bo9bo18bo16b2ob2o6bo15b2o38bobo3bobo
10b3o$262bo10bob4o2bob2o38bo8bo5bo3bo25b3o12b3o19bo5bo2bo2bo12bo35b2ob
o2b4obo10bo$261b2o12bo3bobob2o35b3o15bo3b2o26bo12bo28bo3b3o12b3o32b2ob
obo3bo12b2o$274bo3bobo39bo18bo2bo70b5obo13bo36bobo3bo$273bo3bobo59b3o
22b2o22b2o24b2o55bobo3bo$236bo36b2o3bo46b2o37bobo20bobo26bo10b2o43bo3b
2o$235bobo86bobo30b2o7bo20bo7b2o19bo10bobo85b2o$234b2ob2o85bo7b2o11b2o
10bo8b2o18b2o8bo10b2o11b2o7bo82b3o$235bo2bo84b2o8bo12bo4b2o5b3o32b3o5b
2o4bo12bo8b2o79b4o$236bobo47b2o42b3o5b2o3b3o5b2o7bo32bo7b2o5b3o3b2o5b
3o39b2o45bo$238bo47b2o42bo7b2o3bo66bo3b2o7bo39b2o45b3o$239bo61b2o145b
2o$300bo2bo132b3o8bo2bo$301b2obo7b3o120bo10bob2o$304bo7b3o120bo3bo6bo$
304b2o6b3o120bo2bobo4b2o$289b2o18b3o125bobo2bo17b2o$290bo18b3o126bo3bo
17bo45bo$261b2o24b3o19b3o130bo18b3o24b2o15bo$244bobo14b2o11b2o11bo151b
3o21bo11b2o11b2o15b3o$245b2o27bo31bo137bo31bo$245bo29b3o27bobo135bobo
27b3o$277bo27b2o137b2o27bo$285b4o20b2o129b2o20bo$249b2o6b2o25bo7b2o15b
obo127bobo15b3ob2o2b2o25b2o6b2o$249bo7bo26bo3b2o2b2o3bo6b2o5bo127bo5b
2o10b4o4b2o26bo7bo$250b3o5b3o24bo2b2o7b2o5b2o5b2o125b2o5b2o14b2o27b3o
5b3o$252bo7bo35bobo154b3o34bo7bo$453bo$454bo$300bo7b2o131b2o7bo$241b2o
32b2o7bo15b3o5b2o131b2o5b3o15bo7b2o32b2o$241b2o3b2o27b2o5b3o18bo143bo
18b3o5b2o27b2o3b2o$246b2o33bo20b2o16b2o107b2o16b2o20bo33b2o$263b2o16b
2o32b2o2bo2bo105bo2bo2b2o32b2o16b2o$262bo2bo2b2o45bobo2b2o107b2o2bobo
45b2o2bo2bo$233b2o12b2o14b2o2bobo48b2o111b2o48bobo2b2o14b2o12b2o$234bo
5b2o5bo17b2o52bo111bo52b2o17bo5b2o5bo$231b3o6b2o6b3o14bo36b2o15bob2o
105b2obo53bo14b3o6b2o6b3o$231bo18bo11b2obo35bo2b2o10b2obo2bo105bo2bob
2o12b3o35bob2o11bo18bo$262bo2bob2o13b2o18bo2bo10b2ob2o109b2ob2o11bo35b
2obo2bo$171b3o58bo11b2o18b2ob2o10b2ob2o19b3o140b2o20b2o12b2ob2o$173bo
57bobo10b2o35bob2o167b2o13bob2o$172bo50bo3b2o2bobo50b3o8b2o153bo2b2o
12bob2o$209bo12bobo2bo2b2ob2o49b2ob2o5bo2bo16b2o119b2o13bo4bo12bo$209b
3o10bobo3bobo38b2o18bo4bo2bo16bo121bo14bo2b3o11b2o10b2o$212bo10bob4o2b
ob2o35bo14b2ob2o7bo3bo13b3o115b3o6bo7bo4bo6b3o7bobo5bo$211b2o12bo3bobo
b2o32b3o5bo8bo4bo7bob2ob2o13bo115bo6b2o7b3ob3o6bo2bo7b2o6b3o15b2o$224b
o3bobo36bo7bobo6b2ob2o11b3o137b3o7bo3bo8b3o7bo9bo15b2o$223bo3bobo45b2o
7bo3bo11b2o9b2o125b3o10b3o$179b3o41b2o3bo43b2o11b3o12b2o9bobo123bobo
12bo24b2o33bo51b3o$181bo89bobo30b2o7bo123bo7b2o30bobo31bobo50bo$180bo
90bo7b2o11b2o10bo8b2o121b2o8bo10b2o11b2o7bo31bobo2b2o3bo43bo$270b2o8bo
12bo3bobo5b3o135b3o5b2o4bo12bo8b2o29b2ob2o2bo2bobo12bo$236b2o39b3o5b2o
3b3o5b2o7bo135bo7b2o5b3o3b2o5b3o40bobo3bobo10b3o$225b2o9b2o39bo7b2o3bo
169bo3b2o7bo36b2obo2b4obo10bo$226b2o23b2o257b2obobo3bo12b2o$220b2o3bo
24bo2bo260bobo3bo$177b2o39b2ob2o28b2obo8b2o250bobo3bo45b2o$176bobo39bo
2b2o31bo6bob2o251bo3b2o45bobo$178bo39bo3bo31b2o4bo306bo$219b2obo16b2o
22bo$221bo18bo18b2obo$211b2o24b3o19b2o246b2o$211b2o11b2o11bo269b2o$
224bo31bo235b2o$159bo65b3o27bobo222b3o8bo2bo91bo$159b2o66bo27b2o222bo
10bob2o91b2o$158bobo77b2o19b2o218bo3bo6bo94bobo$199b2o6b2o25b4o4b2o15b
obo217bo2bobo4b2o$199bo7bo26b3ob2o2b2o10b2o5bo219bobo2bo17b2o35bobo2b
2o$200b3o5b3o28bo14b2o5b2o219bo3bo17bo36bo2b2o2bo$202bo7bo275bo18b3o
24b2o10b2o2bo$243bo239b3o21bo11b2o11b2o8b2o2bobo$243b3o242bo31bo$245bo
4bo7b2o227bobo27b3o$191b2o32b2o7bo9bo5b3o5b2o228b2o27bo$191b2o3b2o27b
2o5b3o18bo230b2o20bo$196b2o33bo20b2o16b2o211bobo15b3ob2o2b2o25b2o6b2o$
213b2o16b2o32b2o2bo2bo210bo5b2o10b4o4b2o26bo7bo$212bo2bo2b2o45bobo2b2o
210b2o5b2o14b2o27b3o5b3o$183b2o12b2o14b2o2bobo48b2o264bo7bo$184bo5b2o
5bo17b2o52bo$181b3o6b2o6b3o14bo53bob2o$181bo18bo11b2obo50b2obo2bo212b
2o7bo$212bo2bob2o47b2ob2o213bobo5b3o15bo7b2o32b2o$182bo11b2o18b2ob2o
32b3o237bo18b3o5b2o27b2o3b2o$181bobo10b2o36bo18b2ob2o217b2o16b2o20bo
33b2o$173bo3b2o2bobo47b3o20b2o216bo2bo2b2o7b2o23b2o16b2o$159bo12bobo2b
o2b2ob2o45b5o18b4o7b2o207b2o2bobo7b2o7b3o26b2o2bo2bo$159b3o10bobo3bobo
38b2o8bo5bo10bo6bo2b2o6bo210b2o10b3o8bo19b3o4bobo2b2o14b2o12b2o$162bo
10bob4o2bob2o35bo7b2o2bo2b2o9bobo8b2o6b3o207bo8bob2ob2o6bo10b2o7bo3bo
6b2o17bo5b2o5bo$161b2o12bo3bobob2o32b3o7b3obobob3o8bob2o17bo204b2obo8b
o3bo19bobo6b2ob2o7bo14b3o6b2o6b3o$137bo36bo3bobo36bo10b2o2bo2b2o235bo
2bob2o2bo2bo23bo8bo4bo6bob2o11bo12b2o4bo6bo$138bo34bo3bobo55bo25b2o
211b2ob2o2bo2bo33b2ob2o3b2obo2bo24b2o10bobo$136b3o34b2o3bo43b2o10bo26b
obo218b2o38bo3b2ob2o38bobo2b2o3bo$135bobo83bobo30b2o7bo253b2ob2o46b2ob
2o2bo2bobo12bo$221bo7b2o11b2o10bo8b2o225b3o24b3o52bobo3bobo10b3o$133b
3o84b2o8bo12bo4b2o5b3o221b2o8bo2bo21bob2o50b2obo2b4obo10bo$133bo52b2o
39b3o5b2o3b3o5b2o7bo222bo7bo2b2o19b2ob2o7b2o42b2obobo3bo12b2o$137bo48b
2o39bo7b2o3bo236b3o9b2o24b2o7bo47bobo3bo$137bo63b2o274bo47b3o45bobo3bo
$200bo2bo9bo288b2o23bo46bo3b2o$201b2obo7bobo267b2o$204bo6bo3bo265bobo
37b2o$204b2o4bo3bo266bo7b2o30bobo$189b2o18bo3bo266b2o8bo10b2o11b2o7bo
41b2o$190bo17bo3bo274b3o5b2o4bo12bo8b2o40b2o$161b2o24b3o19bobo275bo7b
2o5b3o3b2o5b3o20b2o10b2o$161b2o11b2o11bo22bo293bo3b2o7bo31bo2bo$174bo
31bo329bo3bo7bob2o$148bo26b3o27bobo328bo4bo6bo$146bo30bo8b2o17b2o331bo
bobo4b2o$147bo2bo34b3o11b2o8b2o328bobobo10bo7b2o$150bo6b2o25bobo2bo2b
2o4bobo8bobo328bo4bo8b2o6bo$149bo7bo26b2o2b2o2b2o6bo3b2o5bo329bo3bo7bo
bo7b3o24b2o$150b3o5b3o27b2o14b2o5b2o352bo11b2o11b2o$152bo7bo381b2o2bo
31bo$545bobo27b3o$546b2o27bo$200bo7b2o332b2o19b2o$141b2o32b2o7bo15b3o
5b2o331bobo15b2o2b2o2b2o25b2o6b2o$141b2o3b2o27b2o5b3o18bo337bo5b2o10bo
bo2bo2b2o26bo7bo$146b2o33bo20b2o16b2o318b2o5b2o11b3o29b3o5b3o$163b2o
16b2o32b2o2bo2bo338b2o29bo7bo$162bo2bo2b2o45bobo2b2o$133b2o12b2o14b2o
2bobo48b2o$134bo5b2o5bo17b2o37b3o12bo323b2o7bo121bo3b2o$131b3o6b2o6b3o
14bo15b2o21b2obo11bob2o320b2o5b3o15bo7b2o32b2o61bobo2bo$131bo18bo11b2o
bo13bo2bo25bo7b2obo2bo326bo18b3o5b2o27b2o3b2o61bobo4bo$157b2o3bo2bob2o
9bo4bo22bobo7b2ob2o310b2o16b2o20bo33b2o67bob5o$157b2o5b2ob2o9bo3bo24b
2o321bo2bo2b2o32b2o16b2o86bo$178bo3bo23b3o322b2o2bobo45b2o2bo2bo84bo3b
2o5b2o$145bo33bobo351b2o8bo32b2o5bobo2b2o14b2o12b2o54bo4b2o5bo$144bobo
33bo13b3o17b2o317bo8b3o7b2o18b3o11b2o17bo5b2o5bo55b2o8bobo$77b3o56bo3b
2o2bobo22b2o16b3o4bobo17bo315b2obo7bo2bo6bobo14bob2o2bo4bo7bo14b3o6b2o
6b3o62b2o6bo$79bo42bo12bobo2bo2b2ob2o22bo11b4obo6b3o18b3o312bo2bob2o4b
3o9bo13b5o4bo2bo7bob2o11bo18bo68b3o$78bo43b3o10bobo3bobo23b3o18bo28bo
314b2ob2o5bo4b2o8bo9b2ob4o2bo2bo4b2obo2bo98bo$125bo10bob4o2bob2o19bo
19bo358bo2bo8b2o9b2o5b2o6b2ob2o100b2o$124b2o12bo3bobob2o35bo3bo23b2o
333bo2bo21b2ob2o101b3o$137bo3bobo28b2o10bo26bobo332bo7bo16bobobo18b2o
11bo62b2o4bo3bo$136bo3bobo28bobo30b2o7bo323b2o8b3o5bo9bo28b2o10bobo61b
2o4bo3bo$136b2o3bo29bo7b2o11b2o10bo8b2o323bo16bo8b3o5b3o7b2o22bobo2b2o
3bo59bo4b2o10b2o$170b2o8bo12bo4b2o5b3o327b3o25bobobo14bo22b2ob2o2bo2bo
bo12bo47bo4bo9bo$85b3o89b3o5b2o3b3o5b2o7bo327bo26bo3bo16b3o23bobo3bobo
10b3o27b3o16bobo3bo7bobo$87bo89bo7b2o3bo372bob2o18bo19b2obo2b4obo10bo
30bo19bo4bo7b2o$86bo62b2o389b2o22b2o39b2obobo3bo12b2o30bo12b2o3bo3b2o$
149b2o388bobo37b2o28bobo3bo55bobo3bo2bo$164b2o373bo7b2o30bobo28bobo3bo
54bo8bo$163bo2bo9bo361b2o8bo10b2o11b2o7bo29bo3b2o53b2o5b3o$164b2obo
377b3o5b2o4bo12bo8b2o110b2o$167bo6b3obo366bo7b2o5b3o3b2o5b3o117b2o$
167b2o4bob2o385bo3b2o7bo$113b2o37b2o19b2obo425b2o81bo$111b2ob2o37bo17b
ob3o426b2o39b2obo34b4o$111b2ob2o8b2o24b3o434b2o52b2obo2bo34b2o2bo$111b
3o10b2o11b2o11bo22bo402bo9bo2bo51bo5bo16b2o17bo2bo5b2o$35bo101bo31bo
405b3o7bob2o54bobo2b2o14bobo17bo2bo4bobo$34b2o102b3o27bobo403b3obo6bo
56b2obo3bo15b3o17b5o4bo$33bob2o103bo27b2o405bo3bo4b2o57bobobobo16b2o
20bobo3b2o$32b3o2bo113b2o19b2o402bo3bo18b2o45b3o14b2o20b2o$34bobobo73b
2o6b2o25b2obo2bob2o15bobo402bob3o17bo63b3o21b2o$35bobobo72bo7bo26b2o2b
o4bo10b2o5bo403b3o19b3o24b2o7bobo49b2o$36bo2b3o32bo3b2o33b3o5b3o28bo
14b2o5b2o403bo22bo11b2o11b2o7b2o46b2o3bo4b2o$37b2obo32bobo2bo36bo7bo
29bobo427bo31bo21bo26b2o18b2o8b2o$38b2o33bobo4bo501bobo27b3o49b2o5b2o$
38bo3bo31bob5o502b2o17bobo7bo59bo$41bobo32bo86bo7b2o406b2o20bo70bobo$
42b2o31bo3b2o5b2o16b2o32b2o7bo15b3o5b2o405bobo15b2o2bo4bo25b2o6b2o32b
2o3b3o$38b2o34bo4b2o5bo17b2o3b2o27b2o5b3o18bo411bo5b2o10b2obo2bob2o26b
o7bo36bo3bo10b2o$37bobo34b2o8bobo22b2o33bo20b2o16b2o392b2o5b2o14b2o27b
3o5b3o36bo5bo9bobo$37bo5b2o39b2o6bo33b2o16b2o26bo5b2o2bo2bo443bo7bo39b
o3bo12bo$36b2o5b2o45b3o32bo2bo2b2o38b3o4bobo2b2o493b3o13b2o$89bo6b2o
12b2o14b2o2bobo28b2o7bo3bo6b2o488b2o$80b2o7b2o6bo5b2o5bo17b2o30b2o7b3o
b3o6bo397b2o7bo6b2o73b2o$94b3o6b2o6b3o14bo8b3o7bo14bo7bo4bo6bob2o394b
2o5b3o6b2o7bo7b2o32b2o$70b2o22bo18bo11b2obo7bo2bo7b2o22bo2b3o2b2obo2bo
400bo18b3o5b2o27b2o3b2o41b2o$70b2o20b2o2b3o26bo2bob2o4b3o7bobo21bo4bo
3b2ob2o384b2o16b2o20bo33b2o46bo$78bo14bob2o2bo27b2ob2o10b2o26bo2b2o
392bo2bo2b2o32b2o16b2o64b3o$76b2ob2o12bo4b2o42bo29b2o394b2o2bobo45b2o
2bo2bo57b2o6bo$76b2ob2o10bobo47bob2o21b2o402b2o48bobo2b2o14b2o12b2o18b
2o8bobo$76bo2b2o10b2o48bob2o4bo2bo13bo10b2o391bo52b2o17bo5b2o5bo19bo4b
2o5bo$72b2o3b2o53b2o8b2o5bo2bo14b3o7bo389b2obo53bo14b3o6b2o6b3o17bo3b
2o5b2o$71bobo59bo14bo5bo23b3o386bo2bob2o50bob2o11bo18bo18bo$71bo58b3o
14b2o3bobo25bo388b2ob2o47b2obo2bo47bob5o$70b2o58bo17bo5bo466b2ob2o48bo
bo4bo$93b2o53b2o3bo20b2o498bobo2bo$84b3o6b2o40b2o12bo2bo21bobo410bo15b
obo10b3o56bo3b2o$86bobo45bobo12b2o16b2o7bo397b2o10bobo27b5o$81bobo3bob
o44bo7b2o11b2o10bo8b2o397bo9bo3bo11b2o15bobo$84bobo3bo42b2o8bo12bo4b2o
5b3o401b3o10bo3bo12bo4b2o10bo$85b2o2bo50b3o5b2o3b3o5b2o7bo401bo12bo3bo
12b2o3bobo10b3o$26bo37b2o15bo3b4o3b2o46bo7b2o3bo432bobo20bo12bo$22b2o
2b2ob3o32b2o15bobo8bobo482b2o8bo19b2o$22b2o4b4o62bo481bobo37b2o$26b2o
37bo28b2o480bo7b2o30bobo$64bobo17bo3b2o485b2o8bo10b2o11b2o7bo$63bo2bo
17bo2b2o493b3o5b2o4bo12bo8b2o$62bo2bo18b4o494bo7b2o5b3o3b2o5b3o$38bo7b
2o38bo7b2o503bo3b2o7bo$13b2o7bo15b3o5b2o14bo2bo28b2o$13b2o5b3o18bo22b
2o5b2o$19bo20b2o16b2o12bo$b2o16b2o32b2o2bo2bo11bobo$o2bo2b2o45bobo2b2o
13b2o3b2o$b2o2bobo35b2o11b2o20b2o12b2o$3b2o37bob3o10bo19bobo12bobo$3bo
12b3o22b2o2b3o9bob2o16bobo4b2o8bo$2obo11bob2o29bo5b2obo2bo33b2o$o2bob
2o7bo32b2o5b2ob2o12b2o8b2ob2o$2b2ob2o7bobo16bo12b2o23b2o5b2o$14b2o17bo
12bo33b3o$14b3o16bo10b3o43b2o$29b2o13b2o6b2o36bo$7b2o17b3ob2o3b3o14bo
38b3o$8bo17bobobo22b3o29b2o6bo$5b3o18b2o5bo21bo19b2o8bobo$5bo27bo41bo
4b2o5bo$33bo15b2o25bo3b2o5b2o$10b2o37bobo25bo$9bobo30b2o7bo23bob5o$9bo
7b2o11b2o10bo8b2o21bobo4bo$8b2o8bo12bo4b2o5b3o28bobo2bo$15b3o5b2o3b3o
5b2o7bo29bo3b2o$15bo7b2o3bo!
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Re: is this c/10 spaceship known?

Postby HartmutHolzwart » March 7th, 2016, 6:18 am

Josh Ball ran the relevant gfind search and found it in about an hour.


But no search so far delivered any tagalongs to the copperhead?

Can two copperheads Support smal tagalongs between them the way the weekender does?
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Re: is this c/10 spaceship known?

Postby muzik » March 7th, 2016, 7:20 am

HartmutHolzwart wrote:
Josh Ball ran the relevant gfind search and found it in about an hour.


But no search so far delivered any tagalongs to the copperhead?

Can two copperheads Support smal tagalongs between them the way the weekender does?


Probably. Maybe something could be attached to the blocks.
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Re: is this c/10 spaceship known?

Postby muzik » March 7th, 2016, 7:28 am

Sokwe wrote:
muzik wrote:Maybe nobody had ever searched for a c/10 orthogonal in gfind before, although this seems pretty unlikely. It could be that different settings or something had been used, but I haven't even seen the interface of gfind so I'm not 100% with that either.

Josh Ball ran the relevant gfind search and found it in about an hour. This ship could have easily been found 15 years ago.

This makes me wonder: what if someone has found a metric butt ton of new spaceship speeds, but has never released them to the public?
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Re: is this c/10 spaceship known?

Postby Alexey_Nigin » March 7th, 2016, 1:50 pm

Shamelessly transferring my work to other people, what is the repeat time of the current best synthesis?
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Re: is this c/10 spaceship known?

Postby dvgrn » March 7th, 2016, 2:47 pm

Alexey_Nigin wrote:Shamelessly transferring my work to other people, what is the repeat time of the current best synthesis?

375 ticks seems to be the current lower limit for 22 gliders. At the expense of one more glider, it's 373 ticks.

Interestingly, though, the same recipe fired from a rake could allow for much closer spacing. Even the 375-tick synthesis is actually capable of placing a copperhead the minimum distance (148 ticks) in front of another one:

x = 553, y = 240, rule = B3/S23
313bo234bo$314bo227bobo2bo$4bo226bo5bo74b3o227b2o3b3o$5b2o223bo4b2o93b
o212bo$4b2o224b3o3b2o93bo$21bo307b3o$22b2o$21b2o288bo238bo$312b2o216bo
bo15b2o$4bo214bo17bo73b2o217b2o17b2o$2bobo213bo18bobo291bo$3b2o213b3o
16b2o3$329bo202bo$330b2o198b2o$22bo196bo109b2o200b2o$20bobo196bobo$21b
2o196b2o78$99bo38bo3bo$97bobo36b2o4bobo$98b2o37b2o3b2o$116bo$114bobo$
115b2o2$96bobo27bo16bobo$97b2o25b2o17b2o$97bo27b2o17bo3$110b2o$109bobo
$111bo2bobo8bobo$115b2o8b2o$115bo10bo5$118b2o2b2o$117bobo2bobo$119bo2b
o7$115b3o6b3o$117bo6bo$116bo8bo5$116b3o$97b2o19bo24b2o$98b2o17bo12bo
11b2o$97bo31b2o13bo$129bobo3$101b2o36b2o$95bo4bobo36bobo4bo$95b2o5bo
36bo5b2o$94bobo48bobo6$409bo38bo3bo$407bobo36b2o4bobo$408b2o37b2o3b2o$
426bo$424bobo$425b2o2$406bobo27bo16bobo$407b2o25b2o17b2o$407bo27b2o17b
o3$420b2o$419bobo$421bo2bobo8bobo$425b2o8b2o$425bo10bo5$428b2o2b2o$
427bobo2bobo$429bo2bo7$425b3o6b3o$427bo6bo$426bo8bo5$426b3o$407b2o19bo
24b2o$408b2o17bo12bo11b2o$407bo31b2o13bo$439bobo3$411b2o36b2o$405bo4bo
bo36bobo4bo$405b2o5bo36bo5b2o$404bobo48bobo6$16b2o$17b2o$16bo307b3o$
326bo$325bo5$24b2o190b2o$25b2o188b2o$24bo192bo114b3o192b3o$334bo192bo$
333bo194bo4$22bo196bo$22b2o194b2o$21bobo194bobo109b2o198b2o$329bobo
198bobo$331bo198bo3$23bo$23b2o$3b3o16bobo211b3o92b2o$5bo217b2o11bo75bo
17bobo216bo$4bo218bobo11bo74b2o18bo215b2o$223bo87bobo221b2o11bobo$534b
2o$536bo$7b2o224b2o$b2o5b2o222b2o5b2o$obo4bo226bo4bobo73b3o226b3o$2bo
236bo69b2o6bo226bo6b2o$310b2o4bo228bo4b2o$309bo242bo!
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Re: is this c/10 spaceship known?

Postby calcyman » March 7th, 2016, 3:17 pm

Freywa wrote:zdr is a problem with the community because he will not reveal his


...or her...

Freywa wrote:name or the techniques used to find the spaceship.


What? zdr explained that a basic depth-first search was used:

zdr wrote:The search takes 19 seconds with a basic dfs program.


Freywa wrote:I have reached out to him to get his details out, but it seems he's a "hit-and-run" user who only cares about the fame.


Someone doesn't reveal their name, and that makes them interested in fame?

Conway's Life is a field of mathematics; like all fields of mathematics the research into it is open and honest. Yet zdr is selfish (for the reasons mentioned above). What can we do about this?


Seriously...?
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Re: is this c/10 spaceship known?

Postby Alexey_Nigin » March 7th, 2016, 5:00 pm

The first draft of my article about copperhead just went online:

https://niginsblog.wordpress.com/2016/0 ... e-of-life/

Feel free to point out any errors or serious omissions. You do not need to bother about language errors, as I will probably notice them myself during the final review.
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Re: is this c/10 spaceship known?

Postby velcrorex » March 7th, 2016, 5:54 pm

Some of my thoughts on why the copperhead was overlooked. Conventional wisdom says lower period ships are easier to find with gfind. This is almost true; for a fixed width, lower period searches take less time to run. (This might not be true either...) Since no c/8 ships are known, it must be even more difficult to find a c/9 or c/10, so why bother looking. The only hope you'd have of finding a higher period ship is if it's not very wide. But what are the chances of that; surely if it's not so big we'd have seen it by other methods, like from a soup? The copperhead happens to be in this in between category: narrow enough to be found by a modest gfind search, but big enough where we haven't (yet...) seen it appear from soup. It's impossible to tell if this is the last such "small" ship or if there's other discoveries to be made if we'd only look around the corner.
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Re: is this c/10 spaceship known?

Postby thunk » March 8th, 2016, 1:58 am

First, let's congratulate zdr on the scope of their discovery, the copperhead, whoever they may be. This may be the CGoL equivalent of the Babson task.

Then...
Freywa wrote:zdr is a problem with the community because he will not reveal his name or the techniques used to find the spaceship. I have reached out to him to get his details out, but it seems he's a "hit-and-run" user who only cares about the fame.

Conway's Life is a field of mathematics; like all fields of mathematics the research into it is open and honest. Yet zdr is selfish (for the reasons mentioned above). What can we do about this?


Just... no. Haven't we discussed this before?

As a bunch of other people have mentioned, 1) pseudonymity is not a recipe for fame, 2) zdr has been quite honest about their discovery and the method of depth-first search used to discover it, and 3) no matter what someone discovers, it is their choice what information about themselves they wish to divulge, and you are not entitled to such knowledge if they decline to share.

Say, didn't your favourite TV show mention something about not looking gift horses in mouths?
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Re: is this c/10 spaceship known?

Postby Dean Hickerson » March 8th, 2016, 6:21 am

I wrote:

Sawtooth with expansion factor 6, based on zdr's c/10 copperhead spaceship.
...
Guns of any period 48N for N>=2 could be used, giving expansion factor N+1.

In fact the period only needs to be a multiple of 16, if we modify things a bit, so we can get expansion factors that aren't integers. It takes some extra work, because when the loaf is pulled all the way back it can be in any of 3 different positions, and we have to arrange for its deletion to release another HWSS in all 3 cases. The smallest period that I was able to make work is 112, giving expansion factor 10/3:

#C Sawtooth with expansion factor 10/3, based on zdr's c/10 copperhead
#C spaceship.
#C A p112 shotgun produces salvos consisting of a HWSS and two LWSSs.
#C Usually the HWSS is deleted by a glider, but occasionally one is
#C allowed to escape.  When it does, it eventually hits the back of
#C the copperhead, which starts a loaf being pulled back toward the
#C shotgun.  When the loaf reaches the shotgun, it's deleted, in one
#C of 3 different ways, and another HWSS escapes.
#C Because the e.f. is not an integer, there's no simple formula for the
#C generations when particular things happen.  However, a recursive formula
#C exists:  Define  P(0)=245  and  P(n+1) = (10 P(n) - c(P(n) mod 3))/3,  where
#C c(0)=735, c(1)=1435, and c(2)=1295.  Then a HWSS hits the back of the
#C copperhead in generation P(n).  The loaf is destroyed in generation
#C (8*P(n)-d(P(n) mod 3))/3,  where d(0)=951, d(1)=1181, and d(2)=1069.
#C The minimum repeating population is 2097.  It occurs in generation
#C (8*P(n)-e(P(n) mod 3))/3,  provided that  P(n) mod 3  is 0 or 1, where
#C e(0)=1512 and e(1)=1736.  The successive maximum populations occur
#C around generations P(n) and are approximately  3*P(n)/70.
#C Dean Hickerson, 3/8/2016
x = 280, y = 250, rule = B3/S23
206bo7bob2o$204b3o7b2obo27b2o$188bo14bo41bo$188b3o12b2o38bobo$191bo47b
2o2b2o$190b2o47b2o$210bo$211bo$102bo7bob2o77b2o18bo$100b3o7b2obo27b2o
48b2o17b2o$84bo14bo41bo$84b3o12b2o38bobo65b3o$87bo47b2o2b2o$86b2o47b2o
2$98bob3o$87b2o10bo2bo104b2o36b2o$87b2o13bo3b2o99bo19b2o16bobo$100b2o
4b2o100b3o15bobo18bo$98b2o110bo15bo20b2o$204b2o19b2o4b2o4bo$204bo25bob
o4bo$205b3o22bo6bo$133bo3bo69bo21b2o8bo2bo$103b2o28bo2bo4b2o96b3o$31b
2obo7bo60bo19b2o9bo2bo3bobo$2b2o27bob2o7b3o59b3o15bobo9bo2bo5bo$3bo41b
o14bo45bo15bo12b3o5b2o102b2o$3bobo38b2o12b3o39b2o19b2o4b2o118bo$4b2o2b
2o47bo42bo25bobo119bo$8b2o47b2o42b3o22bo120b2o$103bo21b2o7b2o$134b2o
47bo$40bo15b2o125bobo$40b2o14b2o125b2o$40bobo100b2o$143bo$144bo49b3o$
143b2o48bo2bo8b2o21bo$83b2o113bo6bo22b3o$83bo114bo4bobo25bo$2b2o36b2o
42bo113bo4b2o4b2o19b2o$bobo16b2o19bo41b2o102b2o20bo15bo$bo18bobo15b3o
147bo18bobo15b3o$2o8bo11bo15bo149bobo16b2o19bo$9bo6b2o4b2o19b2o47b2o
95b2o36b2o$8b3o5bobo25bo47b2o7b2o21bo$18bo22b3o57bo22b3o$18b2o21bo57bo
bo25bo$99b2o4b2o19b2o$83b2o5b3o12bo15bo104b3o$84bo5bo2bo9bobo15b3o$2o
82bobo3bo2bo9b2o19bo99b2o17b2o$bo83b2o4bo2bo28b2o99bo18b2o$o61bo27bo3b
o129bo$2o61bo161bo$61b3o131b2o47b2o$191b2o2b2o47bo$128b2o60bobo38b2o
12b3o$120b2o4b2o62bo41bo14bo$120b2o3bo13b2o14bo33b2o27bob2o7b3o$125bo
2bo10b2o14bobo60b2obo7bo$125b3obo25b2o$20bo21b2o$18b3o22bo47b2o47b2o
84bo7bob2o$17bo25bobo5b3o33b2o2b2o47bo83b3o7b2obo27b2o$17b2o19b2o4b2o
6bo33bobo20bobo15b2o12b3o64bo14bo17b2o22bo$23bo15bo11bo8b2o24bo23b2o
16bo14bo64b3o12b2o15b2o21bobo$21b3o15bobo18bo24b2o23bo14b3o83bo30bo16b
2o2b2o$20bo19b2o16bobo64bo84b2o8b2o37b2o$20b2o36b2o164bo$221bo3bo$211b
2o12bo$211b2o7bobob2o4b2o$222b2o6b2o2$19bobo$4b2o14b2o237bo3bo$4b2o15b
o239bobo$258b2o$227b2o29bo6b2o$3b2o47b2o173bo19b2o10bo2bo2bobo$4bo47b
2o2b2o32bo137b3o15bobo10b3o5bo$b3o12b2o38bobo32bo138bo15bo20b2o$bo14bo
41bo30b3o132b2o19b2o4b2o$17b3o7b2obo27b2o164bo25bobo$19bo7bob2o194b3o
22bo$227bo21b2o7b2o$46b2obo7bo69bo130b2o$17b2o27bob2o7b3o67bobo$18bo
41bo14bo51b2o$18bobo38b2o12b3o191b2o$19b2o2b2o47bo194bo$23b2o47b2o194b
o$53bo213b2o$52bo$52bo18b2o$52b2o17b2o192bo$265b2o$54b3o207bobo2$216b
2o$216b2o7b2o21bo$225bo22b3o$17b2o36b2o166bobo25bo$16bobo16b2o19bo166b
2o4b2o19b2o$16bo18bobo15b3o151b2o20bo15bo$15b2o20bo15bo154bo5b3o10bobo
15b3o$26bo4b2o4b2o19b2o148bobo2bo2bo10b2o19bo$26bo4bobo25bo149b2o6bo
29b2o$26bo6bo22b3o157b2o$21bo2bo8b2o21bo155bobo$22b3o187bo3bo3$15b2o
227b2o6b2o$16bo82bo144b2o4b2obobo7b2o$15bo83bobo148bo12b2o$15b2o82b2o
149bo3bo$251bo$80bo134b2o37b2o8b2o$78bobo130b2o2b2o16bo30bo$79b2o129bo
bo21b2o15b2o12b3o$210bo22b2o17bo14bo$209b2o27bob2o7b3o$67b3o168b2obo7b
o$35bo21b2o8bo2bo$33b3o22bo6bo$32bo25bobo4bo$32b2o19b2o4b2o4bo$38bo15b
o20b2o$36b3o15bobo18bo$35bo19b2o16bobo95bo$35b2o36b2o3b4o89b2ob3o$77bo
4bob2o80b2o7b3o$77bo4bo3bo81bo4b2o3bo$80b2o4bo81bo4b2o3bo$77b2o4bo2bo
79b2o7b3o$35b3o38bo2bo3bo2bo84b2ob3o$76bo2bo4b2o6bo78bo$19b2o17b2o36bo
4b2o8b3o$19b2o18bo36bo3bo4bo4b3obo$39bo37b2obo4bo5bo3bo$38bo42b4o7bo3b
o152b2obo7bo$18b2o47b2o24bob3o122b2o27bob2o7b3o$19bo47b2o2b2o21b3o124b
o41bo14bo$16b3o12b2o38bobo21bo125bobo38b2o12b3o$16bo14bo41bo148b2o2b2o
47bo$32b3o7b2obo27b2o151b2o47b2o$34bo7bob2o2$274b2o$42bo7bob2o184bo16b
2o17b2o$40b3o7b2obo27b2o153b2ob2o14b2o$24bo14bo41bo151b5o$24b3o12b2o
38bobo151bo2bo$27bo47b2o2b2o152bo2bo$26b2o47b2o157b2o$266b3o$44bo175b
2o36b2o5bo2bo$27b2o15b2o173bobo16b2o19bo5bo2bo$27b2o14bo2bo172bo18bobo
15b3o7b4o$44b2o172b2o20bo15bo11b2o$234b2o4b2o19b2o7bo$234bobo25bo6bo$
236bo22b3o7bo$227b2o7b2o21bo$227b2o$43b2o36b2o$43bo19b2o16bobo$44b3o
15bobo18bo$46bo15bo20b2o$40b2o19b2o4b2o6bo$40bo25bobo5bob2o$41b3o22bo
7bobo142b2o57b2o$43bo21b2o8bo143b2o58bo$278bo$278b2o3$269b2o$85b2o151b
o21b2o7b2o$86b2o140bo7b3o22bo$23b2o60bo142bo6bo25bobo$23bo203bo7b2o19b
2o4b2o$24bo159b2o42b2o11bo15bo20b2o$23b2o158b2o43b4o7b3o15bobo18bo$
185bo43bo2bo5bo19b2o16bobo$133bo40bo54bo2bo5b2o36b2o$93b2o38b3o36b3o
38b2o14b3o$32bo8b2o21bo29bo41bo14bo4bo14bo41bo48b2o$31bobo7bo22b3o27bo
bo38b2o12b3o4b3o12b2o38bobo47bo2bo$30b2obo5bobo25bo27b2o2b2o47bo10bo
47b2o2b2o48bo2bo$32bo6b2o4b2o19b2o31b2o13b2o32b2o8b2o47b2o51b5o$23b2o
20bo15bo51bobo125b2o14b2ob2o$24bo18bobo15b3o51bo59bobo44b2o17b2o16bo$
24bobo16b2o19bo74b3o5b2o10b2o14bo2bo43b2o$25b2o36b2o36bo26b2o9bo2bo4b
2o10b2o14bo2bo$100bo27b2o8bo4bo32b2o$99bo2bo2b2o34bo79b2o47b2o$99bo4bo
117bo47b2o2b2o$99b2o3b3o32b2o78b3o12b2o38bobo$101bo37bobo77bo14bo41bo$
62b2o75bobo93b3o7b2obo27b2o$61bo2bo14b2o12b2o36b2o42b2o36b2o22bo7bob2o
$62b2o15b2o11bobo16b2o19bo42bo19b2o16bobo$63bo28bo18bobo15b3o44b3o15bo
bo18bo$91b2o20bo15bo48bo15bo20b2o$31b2o47b2o25b2o4b2o19b2o36b2o19b2o4b
2o6b3o$27b2o2b2o47bo26bobo25bo36bo25bobo5bo$26bobo38b2o12b3o25bo22b3o
38b3o22bo7bo2bo$26bo41bo14bo16b2o7b2o21bo42bo21b2o8b2o$25b2o27bob2o7b
3o32b2o$54b2obo7bo2$91b2o122b2o$92bo122bo$91bo124bo$91b2o122b2o$151b2o
2b2o$152bo2bo$151bo4bo$151b2o2b2o3$142b2o$111bo21b2o7b2o19b2o8b2o21bo$
109b3o22bo27bo2bo7bo22b3o$108bo25bobo28bo5bobo25bo$108b2o19b2o4b2o25b
3o6b2o4b2o19b2o$114bo15bo20b2o2b2o20bo15bo$112b3o15bobo18bo4bo18bobo
15b3o$111bo19b2o16bobo4bobo16b2o19bo$111b2o36b2o6b2o36b2o$102bobo$102b
obo37bo$103b2o32b3o3b2o$139bo4bo$102bo34b2o2bo2bo$100bo4bo8b2o27bo50b
2o$95b2o4bo2bo9b2o26bo50bo2bo14b2o$95b2o5b3o88bo2bo14b2o$194bobo2$94b
2o47b2o18b2o47b2o$95bo47b2o2b2o10b2o2b2o47bo$92b3o12b2o38bobo8bobo38b
2o12b3o$92bo14bo41bo8bo41bo14bo$108b3o7b2obo27b2o6b2o27bob2o7b3o$110bo
7bob2o64b2obo7bo!

P.S., later that day: I had messed up the formulas for P(n) and the other relevant generations. I've fixed that now.

P.S. (3/26/2016): Bill Gosper reminded me that the figure 8 oscillator used in the HWSS synthesis can be replaced by a boat, a reaction found by David Buckingham. So the sawtooth can be reduced slightly:
#C Sawtooth with expansion factor 10/3, based on zdr's c/10 copperhead
#C spaceship.
#C A p112 shotgun produces salvos consisting of a HWSS and two LWSSs.
#C Usually the HWSS is deleted by a glider, but occasionally one is
#C allowed to escape.  When it does, it eventually hits the back of
#C the copperhead, which starts a loaf being pulled back toward the
#C shotgun.  When the loaf reaches the shotgun, it's deleted, in one
#C of 3 different ways, and another HWSS escapes.
#C Because the e.f. is not an integer, there's no simple formula for the
#C generations when particular things happen.  However, a recursive formula
#C exists:  Define  P(0)=245  and  P(n+1) = (10 P(n) - c(P(n) mod 3))/3,  where
#C c(0)=735, c(1)=1435, and c(2)=1295.  Then a HWSS hits the back of the
#C copperhead in generation P(n).  The loaf is destroyed in generation
#C (8*P(n)-d(P(n) mod 3))/3,  where d(0)=951, d(1)=1181, and d(2)=1069.
#C The minimum repeating population is 2082.  It occurs in generation
#C (8*P(n)-e(P(n) mod 3))/3,  provided that  P(n) mod 3  is 0 or 1, where
#C e(0)=1512 and e(1)=1736.  The successive maximum populations occur
#C around generations P(n) and are approximately  3*P(n)/70.
#C Dean Hickerson, 3/8/2016. Reduced with Bill Gosper's help, 3/26/2016.
x = 280, y = 250, rule = B3/S23
206bo7bob2o$204b3o7b2obo27b2o$188bo14bo41bo$188b3o12b2o38bobo$191bo47b
2o2b2o$190b2o47b2o$210bo$211bo$102bo7bob2o77b2o18bo$100b3o7b2obo27b2o
48b2o17b2o$84bo14bo41bo$84b3o12b2o38bobo65b3o$87bo47b2o2b2o$86b2o47b2o
2$98bob3o$87b2o10bo2bo104b2o36b2o$87b2o13bo3b2o99bo19b2o16bobo$100b2o
4b2o100b3o15bobo18bo$98b2o110bo15bo20b2o$204b2o19b2o4b2o4bo$204bo25bob
o4bo$205b3o22bo6bo$133bo3bo69bo21b2o8bo2bo$103b2o28bo2bo4b2o96b3o$31b
2obo7bo60bo19b2o9bo2bo3bobo$2b2o27bob2o7b3o59b3o15bobo9bo2bo5bo$3bo41b
o14bo45bo15bo12b3o5b2o102b2o$3bobo38b2o12b3o39b2o19b2o4b2o118bo$4b2o2b
2o47bo42bo25bobo119bo$8b2o47b2o42b3o22bo120b2o$103bo21b2o7b2o$134b2o
47bo$40bo15b2o125bobo$40b2o14b2o125b2o$40bobo100b2o$143bo$144bo49b3o$
143b2o48bo2bo8b2o21bo$83b2o113bo6bo22b3o$83bo114bo4bobo25bo$2b2o36b2o
42bo113bo4b2o4b2o19b2o$bobo16b2o19bo41b2o102b2o20bo15bo$bo18bobo15b3o
147bo18bobo15b3o$2o8bo11bo15bo149bobo16b2o19bo$9bo6b2o4b2o19b2o47b2o
95b2o36b2o$8b3o5bobo25bo47b2o7b2o21bo$18bo22b3o57bo22b3o$18b2o21bo57bo
bo25bo$99b2o4b2o19b2o$83b2o5b3o12bo15bo104b3o$84bo5bo2bo9bobo15b3o$2o
82bobo3bo2bo9b2o19bo99b2o17b2o$bo83b2o4bo2bo28b2o99bo18b2o$o61bo27bo3b
o129bo$2o61bo161bo$61b3o131b2o47b2o$191b2o2b2o47bo$128b2o60bobo38b2o
12b3o$120b2o4b2o62bo41bo14bo$120b2o3bo13b2o14bo33b2o27bob2o7b3o$125bo
2bo10b2o14bobo60b2obo7bo$125b3obo25b2o$20bo21b2o$18b3o22bo47b2o47b2o
84bo7bob2o$17bo25bobo5b3o33b2o2b2o47bo83b3o7b2obo27b2o$17b2o19b2o4b2o
6bo33bobo20bobo15b2o12b3o64bo14bo17b2o22bo$23bo15bo11bo8b2o24bo23b2o
16bo14bo64b3o12b2o15b2o21bobo$21b3o15bobo18bo24b2o23bo14b3o83bo30bo16b
2o2b2o$20bo19b2o16bobo64bo84b2o8b2o37b2o$20b2o36b2o164bo$221bo3bo$211b
2o12bo$211b2o7bobob2o4b2o$222b2o6b2o2$19bobo$4b2o14b2o237bo3bo$4b2o15b
o239bobo$258b2o$227b2o29bo6b2o$3b2o47b2o173bo19b2o10bo2bo2bobo$4bo47b
2o2b2o32bo137b3o15bobo10b3o5bo$b3o12b2o38bobo32bo138bo15bo20b2o$bo14bo
41bo30b3o132b2o19b2o4b2o$17b3o7b2obo27b2o164bo25bobo$19bo7bob2o194b3o
22bo$227bo21b2o7b2o$46b2obo7bo69bo130b2o$17b2o27bob2o7b3o67bobo$18bo
41bo14bo51b2o$18bobo38b2o12b3o191b2o$19b2o2b2o47bo194bo$23b2o47b2o194b
o$53bo213b2o$52bo$52bo18b2o$52b2o17b2o192bo$265b2o$54b3o207bobo2$216b
2o$216b2o7b2o21bo$225bo22b3o$17b2o36b2o166bobo25bo$16bobo16b2o19bo166b
2o4b2o19b2o$16bo18bobo15b3o151b2o20bo15bo$15b2o20bo15bo154bo5b3o10bobo
15b3o$26bo4b2o4b2o19b2o148bobo2bo2bo10b2o19bo$26bo4bobo25bo149b2o6bo
29b2o$26bo6bo22b3o157b2o$21bo2bo8b2o21bo155bobo$22b3o187bo3bo3$15b2o
227b2o6b2o$16bo82bo144b2o4b2obobo7b2o$15bo83bobo148bo12b2o$15b2o82b2o
149bo3bo$251bo$80bo134b2o37b2o8b2o$78bobo130b2o2b2o16bo30bo$79b2o129bo
bo21b2o15b2o12b3o$210bo22b2o17bo14bo$209b2o27bob2o7b3o$67b3o168b2obo7b
o$35bo21b2o8bo2bo$33b3o22bo6bo$32bo25bobo4bo$32b2o19b2o4b2o4bo$38bo15b
o20b2o$36b3o15bobo18bo$35bo19b2o16bobo95bo$35b2o36b2o3b4o89b2ob3o$77bo
4bob2o80b2o7b3o$77bo4bo3bo81bo4b2o3bo$80b2o4bo81bo4b2o3bo$77b2o4bo2bo
79b2o7b3o$35b3o38bo2bo3bo2bo3b2o79b2ob3o$76bo2bo4b2o3bobo79bo$19b2o17b
2o36bo4b2o7bo$19b2o18bo36bo3bo4bo$39bo37b2obo4bo$38bo42b4o164b2obo7bo$
18b2o47b2o151b2o27bob2o7b3o$19bo47b2o2b2o148bo41bo14bo$16b3o12b2o38bob
o147bobo38b2o12b3o$16bo14bo41bo148b2o2b2o47bo$32b3o7b2obo27b2o151b2o
47b2o$34bo7bob2o2$274b2o$42bo7bob2o184bo16b2o17b2o$40b3o7b2obo27b2o
153b2ob2o14b2o$24bo14bo41bo151b5o$24b3o12b2o38bobo151bo2bo$27bo47b2o2b
2o152bo2bo$26b2o47b2o157b2o$266b3o$44bo175b2o36b2o5bo2bo$27b2o15b2o
173bobo16b2o19bo5bo2bo$27b2o14bo2bo172bo18bobo15b3o7b4o$44b2o172b2o20b
o15bo11b2o$234b2o4b2o19b2o7bo$234bobo25bo6bo$236bo22b3o7bo$227b2o7b2o
21bo$227b2o$43b2o36b2o$43bo19b2o16bobo$44b3o15bobo18bo$46bo15bo20b2o$
40b2o19b2o4b2o6bo$40bo25bobo5bob2o$41b3o22bo7bobo142b2o57b2o$43bo21b2o
8bo143b2o58bo$278bo$278b2o3$269b2o$85b2o151bo21b2o7b2o$86b2o140bo7b3o
22bo$23b2o60bo142bo6bo25bobo$23bo203bo7b2o19b2o4b2o$24bo159b2o42b2o11b
o15bo20b2o$23b2o158b2o43b4o7b3o15bobo18bo$185bo43bo2bo5bo19b2o16bobo$
133bo40bo54bo2bo5b2o36b2o$93b2o38b3o36b3o38b2o14b3o$32bo8b2o21bo29bo
41bo14bo4bo14bo41bo48b2o$31bobo7bo22b3o27bobo38b2o12b3o4b3o12b2o38bobo
47bo2bo$30b2obo5bobo25bo27b2o2b2o47bo10bo47b2o2b2o48bo2bo$32bo6b2o4b2o
19b2o31b2o13b2o32b2o8b2o47b2o51b5o$23b2o20bo15bo51bobo125b2o14b2ob2o$
24bo18bobo15b3o51bo59bobo44b2o17b2o16bo$24bobo16b2o19bo74b3o5b2o10b2o
14bo2bo43b2o$25b2o36b2o36bo26b2o9bo2bo4b2o10b2o14bo2bo$100bo27b2o8bo4b
o32b2o$99bo2bo2b2o34bo79b2o47b2o$99bo4bo117bo47b2o2b2o$99b2o3b3o32b2o
78b3o12b2o38bobo$101bo37bobo77bo14bo41bo$62b2o75bobo93b3o7b2obo27b2o$
61bo2bo14b2o12b2o36b2o42b2o36b2o22bo7bob2o$62b2o15b2o11bobo16b2o19bo
42bo19b2o16bobo$63bo28bo18bobo15b3o44b3o15bobo18bo$91b2o20bo15bo48bo
15bo20b2o$31b2o47b2o25b2o4b2o19b2o36b2o19b2o4b2o6b3o$27b2o2b2o47bo26bo
bo25bo36bo25bobo5bo$26bobo38b2o12b3o25bo22b3o38b3o22bo7bo2bo$26bo41bo
14bo16b2o7b2o21bo42bo21b2o8b2o$25b2o27bob2o7b3o32b2o$54b2obo7bo2$91b2o
122b2o$92bo122bo$91bo124bo$91b2o122b2o$151b2o2b2o$152bo2bo$151bo4bo$
151b2o2b2o3$142b2o$111bo21b2o7b2o19b2o8b2o21bo$109b3o22bo27bo2bo7bo22b
3o$108bo25bobo28bo5bobo25bo$108b2o19b2o4b2o25b3o6b2o4b2o19b2o$114bo15b
o20b2o2b2o20bo15bo$112b3o15bobo18bo4bo18bobo15b3o$111bo19b2o16bobo4bob
o16b2o19bo$111b2o36b2o6b2o36b2o$102bobo$102bobo37bo$103b2o32b3o3b2o$
139bo4bo$102bo34b2o2bo2bo$100bo4bo8b2o27bo50b2o$95b2o4bo2bo9b2o26bo50b
o2bo14b2o$95b2o5b3o88bo2bo14b2o$194bobo2$94b2o47b2o18b2o47b2o$95bo47b
2o2b2o10b2o2b2o47bo$92b3o12b2o38bobo8bobo38b2o12b3o$92bo14bo41bo8bo41b
o14bo$108b3o7b2obo27b2o6b2o27bob2o7b3o$110bo7bob2o64b2obo7bo!
Last edited by Dean Hickerson on March 26th, 2016, 9:12 pm, edited 2 times in total.
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Re: is this c/10 spaceship known?

Postby Alexey_Nigin » March 8th, 2016, 10:42 am

My article is finished.

It is impolite to ask, but what do you think about putting it onto the main page? That page hasn't been updated since 2014, you know.
There are 10 types of people in the world: those who understand binary and those who don't.
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Re: is this c/10 spaceship known?

Postby dvgrn » March 8th, 2016, 12:13 pm

Alexey_Nigin wrote:My article is finished.

It is impolite to ask, but what do you think about putting it onto the main page? That page hasn't been updated since 2014, you know.

Good idea. I have been sneakily updating that slow-salvo article whenever there's a new development, but the differences don't show up on the main page. Anyway, yes, it's high time for some new material!

At the moment I think it's only new posts to b3s23life.blogspot.com and pentadecathlon.com/lifenews that automatically show up on the conwaylife.com main page. Would it be okay if I reposted your article on LifeNews?
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Re: is this c/10 spaceship known?

Postby muzik » March 8th, 2016, 12:53 pm

Alexey_Nigin wrote:It is impolite to ask, but what do you think about putting it onto the main page? That page hasn't been updated since 2014, you know.

I suggested that in the website discussion section, but didn't get any replies.

Since it hasn't been updated since 2014, it might also be interesting to slide in other discoveries like the 31c/240 ships and the demonoids.
2c/n spaceships project

Current priorities: see here
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