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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 FractalFusion » March 20th, 2016, 6:48 pm

towerator wrote:However, the "pyramid of tagalongs" doesn't interfere with the level "n-1" at all, so it is a true tagalong.
x = 160, y = 48, rule = B3/S23
b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o$3b2o14b2o14b2o14b2o14b2o
20b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o$3b2o14b2o14b2o14b2o14b2o
22b2o14b2o14b2o14b2o14b2o$obo2bobo8bobo2bobo8bobo2bobo8bobo2bobo8bobo
2bobo19b2o14b2o14b2o14b2o14b2o$o6bo8bo6bo8bo6bo8bo6bo8bo6bo16bobo2bobo
8bobo2bobo8bobo2bobo8bobo2bobo8bobo2bobo$88bo6bo8bo6bo8bo6bo8bo6bo8bo
6bo$o6bo8bo6bo8bo6bo8bo6bo8bo6bo$b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o10b
2o2b2o17bo6bo8bo6bo8bo6bo8bo6bo8bo6bo$2b4o12b4o12b4o12b4o12b4o19b2o2b
2o10b2o2b2o10b2o2b2o10b2o2b2o10b2o2b2o$90b4o12b4o12b4o12b4o12b4o$3b2o
14b2o14b2o14b2o14b2o$2bo2bo12bo2bo12bo2bo12bo2bo12bo2bo21b2o14b2o14b2o
14b2o14b2o$90bo2bo12bo2bo12bo2bo12bo2bo12bo2bo$bo4bo10bo4bo10bo4bo10bo
4bo10bo4bo$2o4b2o8b2o4b2o8b2o4b2o8b2o4b2o8b2o4b2o17bo4bo10bo4bo10bo4bo
10bo4bo10bo4bo$bob2obo10bob2obo10bob2obo10bob2obo10bob2obo17b2o4b2o8b
2o4b2o8b2o4b2o8b2o4b2o8b2o4b2o$2b4o12b4o12b4o12b4o12b4o19bob2obo10bob
2obo10bob2obo10bob2obo10bob2obo$3b2o14b2o14b2o14b2o14b2o21b4o12b4o12b
4o12b4o12b4o$10b4o12b4o12b4o12b4o29b2o14b2o14b2o14b2o14b2o$11b2o14b2o
14b2o14b2o2$8b2o4b2o8b2o4b2o8b2o4b2o8b2o4b2o$7bo2bo2bo2bo6bo2bo2bo2bo
6bo2bo2bo2bo6bo2bo2bo2bo$8b3o2b3o8b3o2b3o8b3o2b3o8b3o2b3o$8b2o4b2o8b2o
4b2o8b2o4b2o8b2o4b2o$19b2o14b2o14b2o$19b2o14b2o14b2o2$16b2o4b2o8b2o4b
2o8b2o4b2o$16b3o2b3o8b3o2b3o8b3o2b3o$15bo2bo2bo2bo6bo2bo2bo2bo6bo2bo2b
o2bo$15b2ob4ob2o6b2ob4ob2o6b2ob4ob2o$16b8o8b8o8b8o$27b2o14b2o$26bo2bo
12bo2bo$26b4o12b4o$25b2o2b2o10b2o2b2o$22bo2bo4bo2bo4bo2bo4bo2bo$25bo4b
o10bo4bo$26b4o12b4o$22bo10bo4bo10bo$23bo8bo2b2o2bo8bo$35b2o$27b2o14b2o
$32b2o4b2o$31bo2bo2bo2bo$32b2o4b2o$33bo4bo!

Nice. This pattern can be placed on a cylinder of width 16 and infinitely extended.
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Re: is this c/10 spaceship known?

Postby codeholic » March 20th, 2016, 6:58 pm

towerator wrote:Look at this phase! The tagalong removes 2 cells from the copperhead's block!
It means that this "tagalong" is actually an entirely new spaceship.

Yes, I mentioned that above. But I think we can excuse this small inaccuracy for the sake of simplicity.
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Re: is this c/10 spaceship known?

Postby glider_rider » March 20th, 2016, 7:47 pm

Synthesis of the tagalong.
x = 208, y = 68, rule = B3/S23
8$88bo$88bobo71bobo32bobo$88b2o73b2o32b2o$73bobo87bo34bo$69bo4b2o$69b
2o3bo$68bobo$76bo85bo36bo$76bobo84bo34bo$76b2o83b3o34b3o$6bobo8bobo$7b
2o8b2o$7bo10bo78b2o2b2o15b2o2b2o14b2o2b2o34b2o2b2o$97b2o2b2o15b2o2b2o
14b2o2b2o34b2o2b2o3$42b2o4b2o22b2o4b2o16b2o4b2o13b2o4b2o12b2o4b2o32b2o
4b2o$10b2o2b2o26bobo2bobo22bobo2bobo16bobo2bobo13bobo2bobo12bobo2bobo
32bobo2bobo$9bobo2bobo27bo2bo26bo2bo20bo2bo17bo2bo16bo2bo36bo2bo$11bo
2bo28bo4bo24bo4bo18bo4bo15bo4bo14bo4bo34bo4bo$43bo4bo24bo4bo18bo4bo15b
o4bo14bo4bo34bo4bo$43bo4bo24bo4bo18bo4bo15bo4bo14bo4bo34bo4bo$45b2o28b
2o22b2o19b2o18b2o38b2o3$45b2o$7b3o6b3o26b2o$9bo6bo$8bo8bo57b2o22b2o19b
2o18b2o38b2o$75b2o22b2o19b2o18b2o20b2o16b2o16b2o$161bobo34bobo$123b2o
12b2o4b2o18bo13b2o4b2o13bo$122bo2bo10bo2bo2bo2bo30bo2bo2bo2bo$41b3o60b
2o9b2o6b2o12b2o4b2o32b2o4b2o$43bo60bobo7bobo$42bo12bo48bo11bo49bo13b2o
13bo$54b2o43b2o19b2o44b2o12b2o12b2o$54bobo41bobo19bobo19b2o15b3o3bobo
26bobo3b3o$100bo19bo21bobo16bo38bo$142bo17bo40bo$136b2o$135bobo$137bo
8$164b2o30b2o$165b2o28b2o$164bo32bo!
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Re: is this c/10 spaceship known?

Postby EricG » March 20th, 2016, 10:15 pm

Two tagalongs can pull just a simple block:
x = 26, y = 21, rule = B3/S23
4b2o14b2o$3b4o12b4o2$2b6o10b6o$3b4o12b4o2$2b2o2b2o10b2o2b2o$2obo2bob2o
6b2obo2bob2o$3bo2bo12bo2bo3$4b2o14b2o$4b2o14b2o2$bobo2bobo8bobo2bobo$o
2bo2bo2bo6bo2bo2bo2bo$o8bo6bo8bo$o8bo6bo8bo$2o6b2o6b2o6b2o$2b6o4b2o4b
6o$12b2o!
Apologies if this is obvious or trivial.
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Re: is this c/10 spaceship known?

Postby muzik » March 21st, 2016, 4:25 am

Can someone, like, fix this page? It doesn't exist:

http://www.conwaylife.com/patterns/copperhead_synth.rle
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: is this c/10 spaceship known?

Postby muzik » March 21st, 2016, 9:34 am

Interesting reaction: the beehive stays in the same spot

x = 24, y = 29, rule = B3/S23
11b2o$10bo2bo$11b2o2$b2o2b2o10b2o2b2o$3b2o14b2o$3b2o14b2o$obo2bobo8bob
o2bobo$o6bo8bo6bo2$o6bo8bo6bo$b2o2b2o10b2o2b2o$2b4o12b4o2$3b2o14b2o$2b
o2bo12bo2bo2$bo4bo10bo4bo$2o4b2o8b2o4b2o$bob2obo10bob2obo$2b4o12b4o$3b
2o14b2o$10b4o$11b2o2$8b2o4b2o$7bo2bo2bo2bo$8b3o2b3o$8b2o4b2o!
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Re: is this c/10 spaceship known?

Postby HartmutHolzwart » March 22nd, 2016, 3:51 pm

Belated congratulations! You have managed the whole program in hardly two weeks!

- a new velocity
- a glider synthesis and guns
- a tagalong
- a puffer + versatile rakes

Now the only thing that is missing is maybe a wickstretcher?!
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Re: is this c/10 spaceship known?

Postby muzik » March 22nd, 2016, 7:22 pm

HartmutHolzwart wrote:Belated congratulations! You have managed the whole program in hardly two weeks!

meanwhile, in the c/7 orthogonal realm
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Re: is this c/10 spaceship known?

Postby codeholic » March 24th, 2016, 5:56 am

HartmutHolzwart wrote:Now the only thing that is missing is maybe a wickstretcher?!

Is there a known wick that would work at c/10 orthogonal?
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Re: is this c/10 spaceship known?

Postby HartmutHolzwart » March 24th, 2016, 6:09 am

not that I know of...

Nicolay Beluchenkos newest WLS was effective for finding them, but seems to have issues with virus checkers.

Btw.: Did anyone check for tagalangs for the sparky tagalong? WLS doesn't seem to work well with p10...
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Re: is this c/10 spaceship known?

Postby codeholic » March 25th, 2016, 7:32 am

HartmutHolzwart wrote:Btw.: Did anyone check for tagalangs for the sparky tagalong? WLS doesn't seem to work well with p10...

I've been trying soup search with no success so far.
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Re: is this c/10 spaceship known?

Postby muzik » March 25th, 2016, 8:31 am

HartmutHolzwart wrote:Btw.: Did anyone check for tagalangs for the sparky tagalong?

What's a tagalang? A tagalong for another tagalong?


Also, I'm pretty sure you can just haul another block behind two of them and attach a third one to the block, unless another new tagalong has been found I'm not aware of
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Re: is this c/10 spaceship known?

Postby christoph r. » March 25th, 2016, 7:17 pm

Just a little playing around with lwss-rakes backward and forward, mostly trivial.
x = 565, y = 506, rule = B3/S23
392bo7bob2o$391b3o5bo6bo$390bo4bo2b2o3bo2bo$389b3o4bobo5b2o$389b3o4bob
o5b2o$390bo4bo2b2o3bo2bo$368bo2bo19b3o5bo6bo$367bo24bo7bob2o5bo2bo$
379b2ob2o24bo$345bo2bo21b3o5bo3b4o34b2ob2o$344bo24bo2b3o3bo3b4o25b3o5b
o3b4o$356b2ob2o4bo3bo3bobo2b2o30bo2b3o3bo3b4o$347b3o5bo3b4o2bo3bo3bobo
2b2o26bo3bo3bobo2b2o$346bo2b3o3bo3b4o6bo2b3o3bo3b4o20bo3bo3bobo2b2o$
342bo3bo3bobo2b2o13b3o5bo3b4o24bo2b3o3bo3b4o$342bo3bo3bobo2b2o22b2ob2o
27b3o5bo3b4o$346bo2b3o3bo3b4o4bo52b2ob2o$324bo2bo19b3o5bo3b4o5bo2bo36b
o$323bo32b2ob2o48bo2bo$335b2ob2o4bo43b2o$326b3o5bo3b4o3bo2bo38bobo$
325bo2b3o3bo3b4o47bo$321bo3bo3bobo2b2o27b2o30b2o$321bo3bo3bobo2b2o27b
2o30b2o$325bo2b3o3bo3b4o30b3o42bo2bo$326b3o5bo3b4o30bo2bo40bo$335b2ob
2o30b2o4bo51b2ob2o$323bo46b2o4b2o41b3o5bo3b4o$324bo2bo42b2ob4obo39bo2b
3o3bo3b4o$372b2o3b2o35bo3bo3bobo2b2o$350b2o6b2o22b2o6b2o22bo3bo3bobo2b
2o$350b2o6b2o22b2o6b2o26bo2b3o3bo3b4o$419b3o5bo3b4o$428b2ob2o$416bo$
417bo2bo$520b2o$519b2ob2o5b3o$340bo2bo175bo2b2o10bo$339bo179b4o6b2o3b
3o$351b2ob2o163b2o4b2o3b2o2bobo$342b3o5bo3b4o161b2o4b2o3b2o2bobo$341bo
2b3o3bo3b4o161b4o6b2o3b3o$337bo3bo3bobo2b2o167bo2b2o10bo$337bo3bo3bobo
2b2o147b2o18b2ob2o5b3o$341bo2b3o3bo3b4o141bobo6b2o2bo7b2o18b2o$342b3o
5bo3b4o140bo2b2o5b2obo2bo25bobo6b2o2bo$351b2ob2o120b2o21b2o3bo4bo4bo
24bo2b2o5b2obo2bo$339bo136bobo6b2o2bo9bo5bo4bo2bobo24b2o3bo4bo4bo$340b
o2bo131bo2b2o5b2obo2bo7bo5bo4bo2bobo24bo5bo4bo2bobo$476b2o3bo4bo4bo7b
2o3bo4bo4bo25bo5bo4bo2bobo$476bo5bo4bo2bobo5bo2b2o5b2obo2bo25b2o3bo4bo
4bo$476bo5bo4bo2bobo6bobo6b2o2bo26bo2b2o5b2obo2bo$476b2o3bo4bo4bo7b2o
39bobo6b2o2bo$475bo2b2o5b2obo2bo48b2o$455b2o19bobo6b2o2bo$455bobo6b2o
2bo7b2o$454bo2b2o5b2obo2bo$455b2o3bo4bo4bo$455bo5bo4bo2bobo12b2o20b2o$
455bo5bo4bo2bobo12b2o20b2o$455b2o3bo4bo4bo$454bo2b2o5b2obo2bo69bo7b2o$
455bobo6b2o2bo69b3o7bobo6b2o2bo$455b2o90bo2b2o5b2obo2bo$537bo10b2o3bo
4bo4bo$536b3o9bo5bo4bo2bobo$461b2o6b2o22b2o6b2o32bo4b3o5bo5bo4bo2bobo$
461b2o6b2o22b2o6b2o33bo2bobo6b2o3bo4bo4bo$535bo4bo6bo2b2o5b2obo2bo$
387b2o147bo3bo7bobo6b2o2bo$388b2o158b2o$387bo94b2o54bob2o$482b2o58bo$
540b2o$540bo$471b2o$471bobo6b2o2bo$470bo2b2o5b2obo2bo$471b2o3bo4bo4bo$
471bo5bo4bo2bobo$471bo5bo4bo2bobo$471b2o3bo4bo4bo$470bo2b2o5b2obo2bo$
122b3o346bobo6b2o2bo$122b3o4b3ob2o336b2o$120bo7b3o4bobo$126b2obo4bo2bo
$126b2obo4bo2bo$120bo7b3o4bobo$122b3o4b3ob2o$122b3o$102bo7bob2o$101b3o
5bo6bo26bo7bob2o$100bo4bo2b2o3bo2bo25b3o5bo6bo$79bo7bob2o8b3o4bobo5b2o
25bo4bo2b2o3bo2bo$78b3o5bo6bo5b3o4bobo5b2o24b3o4bobo5b2o183bo2bo$77bo
4bo2b2o3bo2bo6bo4bo2b2o3bo2bo23b3o4bobo5b2o182bo$76b3o4bobo5b2o8b3o5bo
6bo24bo4bo2b2o3bo2bo193b2ob2o$76b3o4bobo5b2o9bo7bob2o28b3o5bo6bo184b3o
5bo3b4o$77bo4bo2b2o3bo2bo49bo7bob2o186bo2b3o3bo3b4o$78b3o5bo6bo243bo3b
o3bobo2b2o$79bo7bob2o246bo3bo3bobo2b2o$58bo7bob2o49b2o220bo2b3o3bo3b4o
$57b3o5bo6bo47b2o220b3o5bo3b4o$56bo4bo2b2o3bo2bo46bo231b2ob2o$55b3o4bo
bo5b2o22b2o30b2o211bo$55b3o4bobo5b2o22b2o8bo21b2o212bo2bo$56bo4bo2b2o
3bo2bo30b3o$57b3o5bo6bo30bob2o248b2o$58bo7bob2o31bobo2b3o42bo7bob2o
192b2o60bo2bo$100bo4bo44b3o5bo6bo250bo$101bo2b3o2bo39bo4bo2b2o3bo2bo
262b2ob2o$102b3ob4o38b3o4bobo5b2o246bo7b3o5bo3b4o$81b2o6b2o22b2o6b2o
25b3o4bobo5b2o169b2o6b2o22b2o6b2o36b2o4bo2b3o3bo3b4o$81b2o6b2o22b2o6b
2o26bo4bo2b2o3bo2bo168b2o6b2o22b2o6b2o35b2obo3bo3bobo2b2o$150b3o5bo6bo
248bo3bo3bobo2b2o$151bo7bob2o161bo2bo90bo2b3o3bo3b4o85bobo$323bo95b3o
5bo3b4o86b2o$335b2ob2o88b2ob2o88bo$326b3o5bo3b4o74bo$325bo2b3o3bo3b4o
75bo2bo$321bo3bo3bobo2b2o21b2o20b2o$321bo3bo3bobo2b2o21b2o20b2o$74bo7b
ob2o239bo2b3o3bo3b4o$73b3o5bo6bo237b3o5bo3b4o3bo2bo$72bo4bo2b2o3bo2bo
246b2ob2o4bo$71b3o4bobo5b2o235bo32b2ob2o48bo2bo$71b3o4bobo5b2o236bo2bo
19b3o5bo3b4o5bo2bo36bo$72bo4bo2b2o3bo2bo257bo2b3o3bo3b4o4bo52b2ob2o$
73b3o5bo6bo253bo3bo3bobo2b2o22b2ob2o27b3o5bo3b4o$74bo7bob2o256bo3bo3bo
bo2b2o13b3o5bo3b4o24bo2b3o3bo3b4o$346bo2b3o3bo3b4o6bo2b3o3bo3b4o20bo3b
o3bobo2b2o$347b3o5bo3b4o2bo3bo3bobo2b2o26bo3bo3bobo2b2o$356b2ob2o4bo3b
o3bobo2b2o30bo2b3o3bo3b4o44b2o$344bo24bo2b3o3bo3b4o25b3o5bo3b4o44bobo
6b2o2bo$345bo2bo21b3o5bo3b4o34b2ob2o45bo2b2o5b2obo2bo$379b2ob2o24bo62b
2o3bo4bo4bo$367bo41bo2bo58bo5bo4bo2bobo$368bo2bo99bo5bo4bo2bobo$471b2o
3bo4bo4bo$470bo2b2o5b2obo2bo12bo$471bobo6b2o2bo13bob2o$471b2o25bo$498b
o3bo$499b3obo$503bo2$548b2o$548bobo6b2o2bo$503b3o41bo2b2o5b2obo2bo$
477b2o6b2o12b2o2b3o3b2o6b2o29b2o3bo4bo4bo$477b2o6b2o15bobo4b2o6b2o29bo
5bo4bo2bobo$502b2o44bo5bo4bo2bobo$118b3o427b2o3bo4bo4bo$120bo334b2o42b
obo45bo2b2o5b2obo2bo$119bo335bobo6b2o2bo31bo47bobo6b2o2bo$454bo2b2o5b
2obo2bo77b2o$455b2o3bo4bo4bo$455bo5bo4bo2bobo18b2o8b2o20b2o$455bo5bo4b
o2bobo18b2o8b2o20b2o$455b2o3bo4bo4bo$454bo2b2o5b2obo2bo$455bobo6b2o2bo
7b2o$455b2o19bobo6b2o2bo$475bo2b2o5b2obo2bo48b2o$476b2o3bo4bo4bo7b2o
39bobo6b2o2bo$476bo5bo4bo2bobo6bobo6b2o2bo26bo2b2o5b2obo2bo$476bo5bo4b
o2bobo5bo2b2o5b2obo2bo25b2o3bo4bo4bo$476b2o3bo4bo4bo7b2o3bo4bo4bo25bo
5bo4bo2bobo$475bo2b2o5b2obo2bo7bo5bo4bo2bobo24bo5bo4bo2bobo$476bobo6b
2o2bo9bo5bo4bo2bobo24b2o3bo4bo4bo$476b2o21b2o3bo4bo4bo24bo2b2o5b2obo2b
o$498bo2b2o5b2obo2bo25bobo6b2o2bo$499bobo6b2o2bo27b2o$499b2o7$74bo7bob
2o$73b3o5bo6bo$72bo4bo2b2o3bo2bo$71b3o4bobo5b2o$71b3o4bobo5b2o$72bo4bo
2b2o3bo2bo$73b3o5bo6bo$74bo7bob2o4$86b2o$86b2o2$151bo7bob2o$143bo6b3o
5bo6bo$65b2o6b2o22b2o6b2o37bo4bo4bo2b2o3bo2bo$65b2o6b2o22b2o6b2o35b2ob
o2b3o4bobo5b2o$144bo3b3o4bobo5b2o380bo$149bo4bo2b2o3bo2bo377b2obo$150b
3o5bo6bo377b2obo5b3ob2o$58bo7bob2o81bo7bob2o381b2o3bo4b2o2b2o$57b3o5bo
6bo475b2o5bo4bo$56bo4bo2b2o3bo2bo475b2o5bo4bo$55b3o4bobo5b2o16b2o20b2o
432b2o3bo4b2o2b2o$55b3o4bobo5b2o16b2o20b2o431b2obo5b3ob2o$56bo4bo2b2o
3bo2bo470b2obo$57b3o5bo6bo472bo$58bo7bob2o$79bo7bob2o$78b3o5bo6bo$77bo
4bo2b2o3bo2bo49bo7bob2o$76b3o4bobo5b2o9bo7bob2o28b3o5bo6bo$76b3o4bobo
5b2o8b3o5bo6bo24bo4bo2b2o3bo2bo$77bo4bo2b2o3bo2bo6bo4bo2b2o3bo2bo23b3o
4bobo5b2o$78b3o5bo6bo5b3o4bobo5b2o24b3o4bobo5b2o$79bo7bob2o8b3o4bobo5b
2o25bo4bo2b2o3bo2bo$100bo4bo2b2o3bo2bo25b3o5bo6bo$101b3o5bo6bo26bo7bob
2o$102bo7bob2o46$155bob2o$154bo6bo$150bo2b2o3bo2bo$151bobo5b2o$151bobo
5b2o$150bo2b2o3bo2bo$154bo6bo$155bob2o24$540b2o$539bo2bo6bo$542bo6b2ob
3o$539b3o2b2o7b3o$546bo4b2o3bo$546bo4b2o3bo$226bo312b3o2b2o7b3o$224b2o
bo314bo6b2ob3o$224b2obo5b3ob2o300bo2bo6bo$225b2o3bo4b2o2b2o299b2o$229b
2o5bo4bo$229b2o5bo4bo$225b2o3bo4b2o2b2o$224b2obo5b3ob2o$224b2obo$226bo
19$495b2o$494b2ob2o5b3o29b2o$494bo2b2o10bo25b2ob2o5b3o$472b2o20b4o6b2o
3b3o23bo2b2o10bo$471b2ob2o5b3o10b2o4b2o3b2o2bobo23b4o6b2o3b3o$471bo2b
2o10bo7b2o4b2o3b2o2bobo23b2o4b2o3b2o2bobo$180b2o289b4o6b2o3b3o5b4o6b2o
3b3o23b2o4b2o3b2o2bobo$180bobo6b2o2bo27b2o248b2o4b2o3b2o2bobo5bo2b2o
10bo25b4o6b2o3b3o$179bo2b2o5b2obo2bo25bobo6b2o2bo236b2o4b2o3b2o2bobo5b
2ob2o5b3o28bo2b2o10bo$157b2o21b2o3bo4bo4bo24bo2b2o5b2obo2bo234b4o6b2o
3b3o6b2o38b2ob2o5b3o$157bobo6b2o2bo9bo5bo4bo2bobo24b2o3bo4bo4bo234bo2b
2o10bo49b2o$156bo2b2o5b2obo2bo7bo5bo4bo2bobo24bo5bo4bo2bobo213b2o18b2o
b2o5b3o$157b2o3bo4bo4bo7b2o3bo4bo4bo25bo5bo4bo2bobo212b2ob2o5b3o9b2o$
157bo5bo4bo2bobo5bo2b2o5b2obo2bo25b2o3bo4bo4bo213bo2b2o10bo$157bo5bo4b
o2bobo6bobo6b2o2bo26bo2b2o5b2obo2bo213b4o6b2o3b3o$157b2o3bo4bo4bo7b2o
39bobo6b2o2bo215b2o4b2o3b2o2bobo18b2o8b2o20b2o$156bo2b2o5b2obo2bo48b2o
227b2o4b2o3b2o2bobo18b2o8b2o20b2o$136b2o19bobo6b2o2bo279b4o6b2o3b3o$
136bobo6b2o2bo7b2o291bo2b2o10bo78b2o$135bo2b2o5b2obo2bo298b2ob2o5b3o
33bo46b2ob2o5b3o$136b2o3bo4bo4bo299b2o43bo46bo2b2o10bo$136bo5bo4bo2bob
o18b2o8b2o20b2o293bo44b4o6b2o3b3o$136bo5bo4bo2bobo18b2o8b2o20b2o293b2o
43b2o4b2o3b2o2bobo$136b2o3bo4bo4bo321b2o6b2o14b2o2bo3b2o6b2o28b2o4b2o
3b2o2bobo$135bo2b2o5b2obo2bo77b2o242b2o6b2o15bo6b2o6b2o28b4o6b2o3b3o$
136bobo6b2o2bo31bo47bobo6b2o2bo256bobo41bo2b2o10bo$136b2o42bobo45bo2b
2o5b2obo2bo255bo42b2ob2o5b3o$229b2o3bo4bo4bo299b2o$183b2o44bo5bo4bo2bo
bo$158b2o6b2o15bobo4b2o6b2o29bo5bo4bo2bobo250bobo$158b2o6b2o12b2o2b3o
3b2o6b2o29b2o3bo4bo4bo250b3obo$184b3o41bo2b2o5b2obo2bo249bob3o$229bobo
6b2o2bo224b2o24b2o2bo$229b2o235b2ob2o5b3o15bobo$47bo2bo415bo2b2o10bo
13b2o$46bo41bo2bo92bo281b4o6b2o3b3o$58b2ob2o24bo92b3obo281b2o4b2o3b2o
2bobo$24bo2bo21b3o5bo3b4o34b2ob2o75bo3bo282b2o4b2o3b2o2bobo$23bo24bo2b
3o3bo3b4o25b3o5bo3b4o46b2o25bo286b4o6b2o3b3o$35b2ob2o4bo3bo3bobo2b2o
30bo2b3o3bo3b4o46bobo6b2o2bo13bob2o283bo2b2o10bo$26b3o5bo3b4o2bo3bo3bo
bo2b2o26bo3bo3bobo2b2o51bo2b2o5b2obo2bo12bo285b2ob2o5b3o$25bo2b3o3bo3b
4o6bo2b3o3bo3b4o20bo3bo3bobo2b2o52b2o3bo4bo4bo299b2o$21bo3bo3bobo2b2o
13b3o5bo3b4o24bo2b3o3bo3b4o46bo5bo4bo2bobo$21bo3bo3bobo2b2o22b2ob2o27b
3o5bo3b4o46bo5bo4bo2bobo$25bo2b3o3bo3b4o4bo52b2ob2o48b2o3bo4bo4bo$3bo
2bo19b3o5bo3b4o5bo2bo36bo63bo2b2o5b2obo2bo$2bo32b2ob2o48bo2bo60bobo6b
2o2bo$14b2ob2o4bo128b2o$5b3o5bo3b4o3bo2bo$4bo2b3o3bo3b4o$o3bo3bobo2b2o
21b2o20b2o$o3bo3bobo2b2o21b2o20b2o$4bo2b3o3bo3b4o75bo2bo$5b3o5bo3b4o
74bo$14b2ob2o88b2ob2o$2bo95b3o5bo3b4o$3bo2bo90bo2b3o3bo3b4o403b2o$93bo
3bo3bobo2b2o408bobo$13b2o6b2o22b2o6b2o35b2obo3bo3bobo2b2o410bo$13b2o6b
2o22b2o6b2o36b2o4bo2b3o3bo3b4o$90bo7b3o5bo3b4o$107b2ob2o$95bo106bo$34b
2o60bo2bo102b2o$34b2o165bobo2$19bo2bo$18bo$30b2ob2o$21b3o5bo3b4o$20bo
2b3o3bo3b4o$16bo3bo3bobo2b2o$16bo3bo3bobo2b2o$20bo2b3o3bo3b4o$21b3o5bo
3b4o$30b2ob2o$18bo$19bo2bo13$467b2o$466b2ob2o5b3o$466bo2b2o10bo$466b4o
6b2o3b3o$466b2o4b2o3b2o2bobo$466b2o4b2o3b2o2bobo$152b2o312b4o6b2o3b3o$
152bobo6b2o2bo300bo2b2o10bo$151bo2b2o5b2obo2bo298b2ob2o5b3o$152b2o3bo
4bo4bo299b2o$152bo5bo4bo2bobo367b2o$66bo85bo5bo4bo2bobo367b2o$67b2o83b
2o3bo4bo4bo310b2o55bo2bo$66b2o83bo2b2o5b2obo2bo310b2o57bo$152bobo6b2o
2bo369b3o6b2o$152b2o389b2ob2o5b3o$221bo309b2o2b3o5bo2b2o10bo$221b2o
234b2o6b2o22b2o6b2o32b2o2bo2bo4b4o6b2o3b3o$163b2o58bo233b2o6b2o22b2o6b
2o32bo2b5o4b2o4b2o3b2o2bobo$163b2o54bob2o309b3o2bo5b2o4b2o3b2o2bobo$
229b2o301b3o8b4o6b2o3b3o$217bo3bo7bobo6b2o2bo208b2o81b2o7bo2b2o10bo$
216bo4bo6bo2b2o5b2obo2bo205b2ob2o5b3o72b2o6b2ob2o5b3o$142b2o6b2o22b2o
6b2o33bo2bobo6b2o3bo4bo4bo205bo2b2o10bo70bo7b2o$142b2o6b2o22b2o6b2o32b
o4b3o5bo5bo4bo2bobo204b4o6b2o3b3o$217b3o9bo5bo4bo2bobo204b2o4b2o3b2o2b
obo12b2o20b2o$218bo10b2o3bo4bo4bo205b2o4b2o3b2o2bobo12b2o20b2o$136b2o
90bo2b2o5b2obo2bo205b4o6b2o3b3o$136bobo6b2o2bo69b3o7bobo6b2o2bo207bo2b
2o10bo$135bo2b2o5b2obo2bo69bo7b2o219b2ob2o5b3o9b2o$136b2o3bo4bo4bo299b
2o18b2ob2o5b3o$136bo5bo4bo2bobo12b2o20b2o282bo2b2o10bo49b2o$136bo5bo4b
o2bobo12b2o20b2o282b4o6b2o3b3o6b2o38b2ob2o5b3o$136b2o3bo4bo4bo319b2o4b
2o3b2o2bobo5b2ob2o5b3o28bo2b2o10bo$19bo2bo112bo2b2o5b2obo2bo319b2o4b2o
3b2o2bobo5bo2b2o10bo25b4o6b2o3b3o$18bo117bobo6b2o2bo7b2o312b4o6b2o3b3o
5b4o6b2o3b3o23b2o4b2o3b2o2bobo$30b2ob2o101b2o19bobo6b2o2bo300bo2b2o10b
o7b2o4b2o3b2o2bobo23b2o4b2o3b2o2bobo$21b3o5bo3b4o119bo2b2o5b2obo2bo48b
2o248b2ob2o5b3o10b2o4b2o3b2o2bobo23b4o6b2o3b3o$20bo2b3o3bo3b4o120b2o3b
o4bo4bo7b2o39bobo6b2o2bo237b2o20b4o6b2o3b3o23bo2b2o10bo$16bo3bo3bobo2b
2o126bo5bo4bo2bobo6bobo6b2o2bo26bo2b2o5b2obo2bo257bo2b2o10bo25b2ob2o5b
3o$16bo3bo3bobo2b2o126bo5bo4bo2bobo5bo2b2o5b2obo2bo25b2o3bo4bo4bo257b
2ob2o5b3o8b4o7bo9b2o$20bo2b3o3bo3b4o120b2o3bo4bo4bo7b2o3bo4bo4bo25bo5b
o4bo2bobo257b2o18bo3bo6bo$21b3o5bo3b4o119bo2b2o5b2obo2bo7bo5bo4bo2bobo
24bo5bo4bo2bobo276bo12bo2bo$30b2ob2o122bobo6b2o2bo9bo5bo4bo2bobo24b2o
3bo4bo4bo277bo3b2o5b3ob2obo$18bo138b2o21b2o3bo4bo4bo24bo2b2o5b2obo2bo
277bo6b2o6b2ob2o$19bo2bo156bo2b2o5b2obo2bo25bobo6b2o2bo279bo6b2o6b2ob
2o$180bobo6b2o2bo7b2o18b2o291bo3b2o5b3ob2obo$180b2o18b2ob2o5b3o301bo
12bo2bo$96bo2bo100bo2b2o10bo299bo3bo6bo$95bo104b4o6b2o3b3o297b4o7bo$
107b2ob2o88b2o4b2o3b2o2bobo$98b3o5bo3b4o86b2o4b2o3b2o2bobo$29b2o6b2o
22b2o6b2o26bo2b3o3bo3b4o86b4o6b2o3b3o$29b2o6b2o22b2o6b2o22bo3bo3bobo2b
2o92bo2b2o10bo$51b2o3b2o35bo3bo3bobo2b2o92b2ob2o5b3o$3bo2bo42b2ob4obo
39bo2b3o3bo3b4o87b2o$2bo46b2o4b2o41b3o5bo3b4o$14b2ob2o30b2o4bo51b2ob2o
$5b3o5bo3b4o30bo2bo40bo$4bo2b3o3bo3b4o30b3o42bo2bo$o3bo3bobo2b2o27b2o
30b2o$o3bo3bobo2b2o27b2o30b2o$4bo2b3o3bo3b4o47bo$5b3o5bo3b4o3bo2bo38bo
bo$14b2ob2o4bo43b2o$2bo32b2ob2o48bo2bo$3bo2bo19b3o5bo3b4o5bo2bo36bo$
25bo2b3o3bo3b4o4bo52b2ob2o$21bo3bo3bobo2b2o22b2ob2o27b3o5bo3b4o$21bo3b
o3bobo2b2o13b3o5bo3b4o24bo2b3o3bo3b4o$25bo2b3o3bo3b4o6bo2b3o3bo3b4o20b
o3bo3bobo2b2o$26b3o5bo3b4o2bo3bo3bobo2b2o26bo3bo3bobo2b2o$35b2ob2o4bo
3bo3bobo2b2o30bo2b3o3bo3b4o$23bo24bo2b3o3bo3b4o25b3o5bo3b4o$24bo2bo21b
3o5bo3b4o34b2ob2o$58b2ob2o24bo$46bo24bo7bob2o5bo2bo$47bo2bo19b3o5bo6bo
$69bo4bo2b2o3bo2bo$68b3o4bobo5b2o$68b3o4bobo5b2o$69bo4bo2b2o3bo2bo$70b
3o5bo6bo$71bo7bob2o!
christoph r.
 
Posts: 144
Joined: March 24th, 2016, 2:55 pm
Location: Germany

Re: is this c/10 spaceship known?

Postby BlinkerSpawn » March 25th, 2016, 7:55 pm

christoph r. wrote:Just a little playing around with lwss-rakes backward and forward, mostly trivial.
rle

I like how you set up the rakes to not only create the gliders in whatever-the-acronym-is but also kill the gliders with copperhead sparks. Nice attention to detail (or was that accidental?)
Welcome to the forums!
EDIT:Made the forefake smaller by trivially shifting components
x = 204, y = 355, rule = Life
109b2o$108b2ob2o5b3o$108bo2b2o10bo$108b4o6b2o3b3o$108b2o4b2o3b2o2bobo$
108b2o4b2o3b2o2bobo$108b4o6b2o3b3o$108bo2b2o10bo$88b2o18b2ob2o5b3o$88b
obo6b2o2bo7b2o18b2o$87bo2b2o5b2obo2bo25bobo6b2o2bo$65b2o21b2o3bo4bo4bo
24bo2b2o5b2obo2bo$65bobo6b2o2bo9bo5bo4bo2bobo24b2o3bo4bo4bo$64bo2b2o5b
2obo2bo7bo5bo4bo2bobo24bo5bo4bo2bobo$65b2o3bo4bo4bo7b2o3bo4bo4bo25bo5b
o4bo2bobo$65bo5bo4bo2bobo5bo2b2o5b2obo2bo25b2o3bo4bo4bo$65bo5bo4bo2bob
o6bobo6b2o2bo26bo2b2o5b2obo2bo$65b2o3bo4bo4bo7b2o39bobo6b2o2bo$64bo2b
2o5b2obo2bo48b2o$44b2o19bobo6b2o2bo$44bobo6b2o2bo7b2o$43bo2b2o5b2obo2b
o$44b2o3bo4bo4bo44bo2bo$44bo5bo4bo2bobo24b2o16bo3bo9b2o$44bo5bo4bo2bob
o24b2o16bo4bo8b2o$44b2o3bo4bo4bo43bo4bo$43bo2b2o5b2obo2bo44bo3bo28b2o$
44bobo6b2o2bo47bobo29bobo6b2o2bo$44b2o90bo2b2o5b2obo2bo$137b2o3bo4bo4b
o$137bo5bo4bo2bobo$48b2o22b2o6b2o30b2o23bo5bo4bo2bobo$48b2o22b2o6b2o
30b2o23b2o3bo4bo4bo$136bo2b2o5b2obo2bo$137bobo6b2o2bo$137b2o5$60b2o$
60bobo6b2o2bo$59bo2b2o5b2obo2bo$60b2o3bo4bo4bo$60bo5bo4bo2bobo$60bo5bo
4bo2bobo$60b2o3bo4bo4bo$59bo2b2o5b2obo2bo$60bobo6b2o2bo$60b2o30$101bo$
101b2o$100bobo17$60b2o$60bobo6b2o2bo$59bo2b2o5b2obo2bo$60b2o3bo4bo4bo$
60bo5bo4bo2bobo$60bo5bo4bo2bobo$60b2o3bo4bo4bo$59bo2b2o5b2obo2bo$60bob
o6b2o2bo50bobo$60b2o63b2o$125bo2$77b2o$77b2o$137b2o$137bobo6b2o2bo$
136bo2b2o5b2obo2bo$56b2o6b2o22b2o6b2o39b2o3bo4bo4bo$56b2o6b2o22b2o6b2o
39bo5bo4bo2bobo$137bo5bo4bo2bobo$137b2o3bo4bo4bo$44b2o90bo2b2o5b2obo2b
o$44bobo6b2o2bo79bobo6b2o2bo$43bo2b2o5b2obo2bo77b2o$44b2o3bo4bo4bo$44b
o5bo4bo2bobo8b2o8b2o20b2o$44bo5bo4bo2bobo8b2o8b2o20b2o$44b2o3bo4bo4bo$
43bo2b2o5b2obo2bo$44bobo6b2o2bo7b2o$44b2o19bobo6b2o2bo$64bo2b2o5b2obo
2bo48b2o$65b2o3bo4bo4bo7b2o39bobo6b2o2bo$65bo5bo4bo2bobo6bobo6b2o2bo
26bo2b2o5b2obo2bo$65bo5bo4bo2bobo5bo2b2o5b2obo2bo25b2o3bo4bo4bo$65b2o
3bo4bo4bo7b2o3bo4bo4bo25bo5bo4bo2bobo$64bo2b2o5b2obo2bo7bo5bo4bo2bobo
24bo5bo4bo2bobo$65bobo6b2o2bo9bo5bo4bo2bobo24b2o3bo4bo4bo$65b2o21b2o3b
o4bo4bo24bo2b2o5b2obo2bo$87bo2b2o5b2obo2bo25bobo6b2o2bo$88bobo6b2o2bo
27b2o$88b2o37$171bo7bob2o$170b3o5bo6bo$169bo4bo2b2o3bo2bo$168b3o4bobo
5b2o$168b3o4bobo5b2o$169bo4bo2b2o3bo2bo$170b3o5bo6bo$171bo7bob2o4$140b
o7bob2o$139b3o5bo6bo26bo7bob2o$138bo4bo2b2o3bo2bo25b3o5bo6bo$117bo7bob
2o8b3o4bobo5b2o25bo4bo2b2o3bo2bo$116b3o5bo6bo5b3o4bobo5b2o24b3o4bobo5b
2o$115bo4bo2b2o3bo2bo6bo4bo2b2o3bo2bo23b3o4bobo5b2o$114b3o4bobo5b2o8b
3o5bo6bo24bo4bo2b2o3bo2bo$114b3o4bobo5b2o9bo7bob2o28b3o5bo6bo$115bo4bo
2b2o3bo2bo49bo7bob2o$116b3o5bo6bo$117bo7bob2o$96bo7bob2o69bo$95b3o5bo
6bo64b3o$94bo4bo2b2o3bo2bo63b5o$93b3o4bobo5b2o29b2o32bob5o$93b3o4bobo
5b2o29b2o31b2ob3o2b2o$94bo4bo2b2o3bo2bo62b3o2bob2o$95b3o5bo6bo63bo6b2o
$96bo7bob2o70bo2bo7bo7bob2o$178b3o7b3o5bo6bo$187bo4bo2b2o3bo2bo$186b3o
4bobo5b2o$102b2o22b2o6b2o30b2o18b3o4bobo5b2o$102b2o22b2o6b2o30b2o19bo
4bo2b2o3bo2bo$73b2o113b3o5bo6bo$74b2o113bo7bob2o$73bo$115b2o$45b2o68b
2o$44bo2bo6bo31b2o$47bo6b2ob3o25bo2bo6bo$22b2o20b3o2b2o7b3o27bo6b2ob3o
$21bo2bo6bo19bo4b2o3bo23b3o2b2o7b3o10bo7bob2o$24bo6b2ob3o14bo4b2o3bo
30bo4b2o3bo8b3o5bo6bo$21b3o2b2o7b3o6b3o2b2o7b3o31bo4b2o3bo7bo4bo2b2o3b
o2bo$28bo4b2o3bo8bo6b2ob3o25b3o2b2o7b3o7b3o4bobo5b2o$28bo4b2o3bo5bo2bo
6bo33bo6b2ob3o8b3o4bobo5b2o$21b3o2b2o7b3o7b2o38bo2bo6bo14bo4bo2b2o3bo
2bo$24bo6b2ob3o49b2o23b3o5bo6bo$b2o18bo2bo6bo80bo7bob2o$o2bo6bo11b2o$
3bo6b2ob3o$3o2b2o7b3o$7bo4b2o3bo14b2o8b2o20b2o$7bo4b2o3bo14b2o8b2o20b
2o$3o2b2o7b3o$3bo6b2ob3o78b2o$o2bo6bo82bo2bo6bo$b2o93bo6b2ob3o$45bobo
45b3o2b2o7b3o$44b2obo52bo4b2o3bo$19b2o6b2o12bobo7b2o6b2o39bo4b2o3bo$
19b2o6b2o10bo5bo5b2o6b2o32b3o2b2o7b3o$45bo50bo6b2ob3o$42b2o49bo2bo6bo$
40bo53b2o$41bo$40b2o2b2o$40b2o2b2o2$17b2o$16bo2bo6bo$19bo6b2ob3o$16b3o
2b2o7b3o$23bo4b2o3bo$23bo4b2o3bo$16b3o2b2o7b3o$19bo6b2ob3o$16bo2bo6bo$
17b2o$49bo$50bo$48b3o3$72b3o$74bo$73bo2$146b2o$145bobo$147bo7$171bo$
169bobo$112bo7bob2o46b2o$111b3o5bo6bo$110bo4bo2b2o3bo2bo$109b3o4bobo5b
2o$109b3o4bobo5b2o$110bo4bo2b2o3bo2bo$111b3o5bo6bo$112bo7bob2o4$131b2o
$131b2o2$189bo7bob2o$188b3o5bo6bo$110b2o6b2o22b2o6b2o35bo4bo2b2o3bo2bo
$110b2o6b2o22b2o6b2o34b3o4bobo5b2o$186b3o4bobo5b2o$187bo4bo2b2o3bo2bo$
188b3o5bo6bo$96bo7bob2o81bo7bob2o$95b3o5bo6bo$94bo4bo2b2o3bo2bo$93b3o
4bobo5b2o13b2o8b2o20b2o$93b3o4bobo5b2o13b2o8b2o20b2o$94bo4bo2b2o3bo2bo
$95b3o5bo6bo$17b2o77bo7bob2o$16bo2bo6bo90bo7bob2o$19bo6b2ob3o84b3o5bo
6bo$16b3o2b2o7b3o82bo4bo2b2o3bo2bo49bo7bob2o$23bo4b2o3bo80b3o4bobo5b2o
9bo7bob2o28b3o5bo6bo$23bo4b2o3bo43bo36b3o4bobo5b2o8b3o5bo6bo24bo4bo2b
2o3bo2bo$16b3o2b2o7b3o43bobo36bo4bo2b2o3bo2bo6bo4bo2b2o3bo2bo23b3o4bob
o5b2o$19bo6b2ob3o44bobo37b3o5bo6bo5b3o4bobo5b2o24b3o4bobo5b2o$16bo2bo
6bo50bo39bo7bob2o8b3o4bobo5b2o25bo4bo2b2o3bo2bo$17b2o54b2o63bo4bo2b2o
3bo2bo25b3o5bo6bo$74b2o63b3o5bo6bo26bo7bob2o$72b3o65bo7bob2o$24b2o46b
2o86b3o$24b2o46bo87b3o4b3ob2o$94b2o62bo7b3o4bobo$93bo2bo6bo60b2obo4bo
2bo$96bo6b2ob3o55b2obo4bo2bo$11b2o22b2o6b2o30b2o16b3o2b2o7b3o48bo7b3o
4bobo$11b2o22b2o6b2o30b2o23bo4b2o3bo49b3o4b3ob2o$100bo4b2o3bo49b3o$93b
3o2b2o7b3o$b2o77b2o14bo6b2ob3o$o2bo6bo82bo2bo6bo$3bo6b2ob3o64bo2bo10b
2o$3o2b2o7b3o66bob2o$7bo4b2o3bo8b2o20b2o32bo3bo$7bo4b2o3bo8b2o20b2o33b
3o$3o2b2o7b3o67bo$3bo6b2ob3o$o2bo6bo11b2o$b2o18bo2bo6bo$24bo6b2ob3o49b
2o$21b3o2b2o7b3o7b2o38bo2bo6bo$28bo4b2o3bo5bo2bo6bo33bo6b2ob3o$28bo4b
2o3bo8bo6b2ob3o25b3o2b2o7b3o$21b3o2b2o7b3o6b3o2b2o7b3o31bo4b2o3bo$24bo
6b2ob3o14bo4b2o3bo30bo4b2o3bo$21bo2bo6bo19bo4b2o3bo23b3o2b2o7b3o$22b2o
20b3o2b2o7b3o27bo6b2ob3o$47bo6b2ob3o25bo2bo6bo$44bo2bo6bo11b2o18b2o$
45b2o19bobo6b2o2bo$65bo2b2o5b2obo2bo$66b2o3bo4bo4bo$66bo5bo4bo2bobo$
66bo5bo4bo2bobo$66b2o3bo4bo4bo$65bo2b2o5b2obo2bo$66bobo6b2o2bo$66b2o!
Last edited by BlinkerSpawn on March 26th, 2016, 2:42 pm, edited 1 time in total.
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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Re: is this c/10 spaceship known?

Postby simeks » March 26th, 2016, 10:29 am

Minimum distance between Copperheads seems to be 146 ticks, not 148 as mentioned before (147 doesn't work):

x = 10, y = 86, rule = LifeHistory
4.2A$3.A2.A$3.A2.A$2.A4.A$2.A4.A$3.4A$2.2A2.2A$2.A4.A$2.A4.A3$3.4A$4.
2A2$4.2A$3.4A2$2.6A$3.4A2$2.2A2.2A$2A.A2.A.2A$3.A2.A3$4.2A$4.2A4$3.4A
2$3.A2.A$2.A.2A.A$2.A4.A2$2.A4.A$2.2A2.2A$2.6A$3.A2.A$4.2A$4.2A3$4.2A
$2.2A2.2A$4.2A$.A6.A$2.A4.A$4.2A$.3A2.3A$.2A4.2A3$4.2A$3.A2.A4$2.2A2.
2A$2.2A2.2A$.3A2.3A$.3A2.3A2$.A6.A$.A2.2A2.A$2.6A3$4.2A$4.2A3$4.2A$3.
A2.A$3.A2.A$2.A4.A$2.A4.A$3.4A$2.2A2.2A$2.A4.A$2.A4.A3$3.4A$4.2A!
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Re: is this c/10 spaceship known?

Postby muzik » March 27th, 2016, 7:42 am

weird how higher numbers don't work sometimes.
Last edited by muzik on August 22nd, 2016, 5:28 pm, edited 1 time in total.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!
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Re: is this c/10 spaceship known?

Postby christoph r. » March 27th, 2016, 10:45 am

The second copperhead is very near to the first (with tagalong) and eats its two middle sparks:

x = 42, y = 12, rule = B3/S23
3b2o21bo$2b4o19bobo5bo$b2ob2o7b2o9b2obo3bo2bo2bo$b2o2b2o5bob5o7bo3bo3b
obob2o$3o10b2o4b2o8bo7b2ob2o$3o4b3o3bo15bo7b2ob2o$3o4b3o3bo12bo3bo3bob
ob2o$3o10b2o4b2o3b2obo3bo2bo2bo$b2o2b2o5bob5o6bobo5bo$b2ob2o7b2o11bo$
2b4o$3b2o!
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Re: is this c/10 spaceship known?

Postby Dean Hickerson » April 2nd, 2016, 1:39 am

I've built another sawtooth pattern using a copperhead and 2 copperheads with tagalongs. This one has expansion factor 7/4, which I think is the smallest known e.f. that's larger than 1. (The parabolic sawtooth has e.f. 1.)

There are a couple of differences between this and my earlier sawtooths. First, each puller LWSS pulls a blinker 4 units instead of 3 units, as the earlier loaf pullers did; this decreases the expansion factor. Second, to avoid having to deal with 4 possible locations for the blinker when it gets pulled all the way back, I use a larger period for the gun that produces the trigger LWSS than for the puller LWSS's. Specifically, a trigger is produced every 192 gens, while pullers are produced every 48 gens. So the blinker is always pulled back to the same place. However, the time of its return has 4 possible values mod 192, so some additional logic circuitry is needed to allow one trigger to escape.

The minimum populations occur around the time that the blinker is pulled back, but the exact time and the value of the minimum depend on the value of a(n) (defined in the pattern comments below) mod 20. It can be as small as 11718 or as large as 11747. I conjecture that a(n) mod 20 takes on all 20 possible values infinitely often. But proving that is probably as hard as proving the Collatz conjecture.

Almost half of the initial population is due to an edge-shooting p48 LWSS gun, at the bottom right. If anyone can suggest a way to reduce its size, I'd be happy to rebuild this pattern.

After building this, I realized that the period of the puller guns doesn't have to be a multiple of 16; only the trigger gun has that restriction. Any even period >= 34 should work for the pullers. There's a fairly small p36 gun, so maybe I'll build yet another sawtooth using that. The design will have to be more complicated; with such a small period there's no room for the trigger between the pullers. But I'm sure it can be done, yielding an e.f. of 25/16.

#C Sawtooth with expansion factor 7/4
#C A collection of guns produce salvos of LWSS's.  Every
#C 48 gens, 2 'puller' LWSS's are created, and every
#C 192 gens, a 'trigger' LWSS is made.  Most of the
#C triggers are deleted, but when one escapes it
#C eventually hits the back of a copperhead, turning
#C into a blinker, which is then pulled 8 units by
#C each pair of pullers.
#C When the blinker is pulled all the way back, a
#C glider is created by a reaction that consumes the
#C blinker, 2 gliders, and 2 puller LWSS's.  The released
#C glider deletes 4 gliders from a p48 gun (with help
#C from a Kok's galaxy), which allow another trigger to
#C escape.  (Some unused pullers travel ahead of and behind
#C the trigger, but they are deleted by 2 additional
#C copperheads with tagalongs.
#C Define  a(0) = 0  and  a(n) = floor((7 a(n-1)+34)/4)
#C for  n >= 1.  Then a trigger is released in gen
#C 192 a(n) + 85  and reaches the copperhead in gen
#C 240 a(n) + 357.  The resulting blinker is  deleted
#C in gen  336 a(n) + 870.  The population is minimal at
#C about the time that the blinker is deleted, but the
#C exact timing and minimum depend on  a(n) mod 20.
#C Specifically, it occurs in gen  336 a(n) + b(a(n) mod 20),
#C where b(k) and the min population are given here:
#C
#C     k                   0      1      2      3      4
#C     b(k)              879    923    927    831    875
#C     min population  11734  11722  11740  11747  11725
#C
#C     k                   5      6      7      8      9
#C     b(k)              919    923    827    871    923
#C     min population  11728  11732  11743  11727  11718
#C
#C     k                  10     11     12     13     14
#C     b(k)              919    831    875    919    923
#C     min population  11728  11743  11721  11724  11728
#C
#C     k                  15     16     17     18     19
#C     b(k)              827    871    875    919    823
#C     min population  11739  11723  11731  11724  11742
#C
#C I conjecture that  a(n)  takes every value mod 20
#C infinitely often, in which case the minimum repeating
#C population is 11718.  The first 4 times when this
#C occurs are gens 1704107, 13206974507, 23112207467, and
#C 100419952019877884826347.
#C
#C The maximum population occurs about the time that the
#C trigger LWSS hits the copperhead, when  t ~ 240 a(n).
#C (The exact timing depends on  a(n) mod 4.)  The
#C population then is about  7t/80.
#C
#C Dean Hickerson, 3/31/2016
#C
#C Credits:
#C
#C The c/10 spaceship, 'copperhead', was found by 'zdr',
#C 3/5/2016, and its tagalong by 'simeks', 3/20/2016:
#C http://www.conwaylife.com/forums/viewtopic.php?f=2&t=2057
#C
#C The glider guns are from Jason Summers's updated version of
#C Dieter Leithner and Peter Rott,
#C http://entropymine.com/jason/life/dpguns/
#C
#C The stable glider reflector, 'snark', was found by
#C Mike Playle in April 2013:
#C http://www.conwaylife.com/wiki/Snark
#C
#C The use of a block and a gun to duplicate a signal was
#C found by Dieter Leithner in 1993.
x = 450, y = 316, rule = B3/S23
361bo2bo$361b6o$358bo8bob2o$355bo2b8obobobob2o$355b3o7bobo3b2ob3o$358b
2o3bo3bo2b3o4bo$284b2o11b2o11b2o11b2o30b2obo3bob4ob2o3b3o$283bo2bo9bo
2bo9bo2bo9bo2bo29bo2bo4bo5bo3bobo$283bobo3b2ob2o3bobo9bobo3b2ob2o3bobo
31b2o2b2o2b2obo8bo$281b2o2bobo7bobo2b2o5b2o2bobo7bobo2b2o20bo3b2o5b3o
4bob4ob5o$282bobobo4bo4bobobo7bobobo4bo4bobobo20bobobobo3b3obo4bo4b2o$
281bo2b2o2b7o2b2o2bo5bo2b2o2b7o2b2o2bo19bobobo6b2ob2o4b3ob5o$281b2o5bo
bobobo5b2o5b2o5bobobobo5b2o18b2obob2o5b2obob2o4b2o5bo$290bobo23bobo27b
o2bobo5bo3bob2o6b5o$272bo2b2o9b3o5b3o15b3o5b3o9b2o2bo7b2obobo2b2o2bo4b
obo5bo2b2o5b2obo$271bobo2bo2bo5bobobo3bobobo13bobobo3bobobo5bo2bo2bobo
5bob2o3b3o4bobo2bo6bob3o5bob2o$271bob2obobobo4b2o2b5o2b2o13b2o2b5o2b2o
4bobobob2obo5bo4b2obobo8b3o3b2o13b2o$270b2obo2bobo2bo45bo2bobo2bob2o5b
3obo4bo10bo15b2o3bo$270bo2bob2o2bo49bo2b2obo2bo7bobo3b2o21b2o3bob2obo$
271b3obobo3b3o41b3o3bobob3o10b2o2b2o4bo16bobo5b2o$273b2obo5b2o41b2o5bo
b2o10bobo3b2o2b2ob2o16bo4bo$269bobo2bobo3bo2bo6bo34bo2bo3bobo2bobo4b3o
bo4bo4bo12bo3bo3bo2bo$269b2o2b2obob2o2b3o4bobo25b3o4b3o2b2obob2o2b2o3b
o4b2obobo10bo5b4o3bobob2o$275b2obo3b2o4bo3bo24b3o5b2o3bob2o9bob2o3b3o
10bo5b2obo4bo4bo$269b5o4bo10bobo26bo11bo4b5o4b2obobo2b2o9b3o4b3o3bo4b
3o$268bo4bob3o12bo4b2o15b2o17b3obo4bo5bo2bobo19bobo3bo4bo$268bob2obobo
6b2o11bobo13bobo11b2o6bobob2obo5b2obob2o24bobob2o$267b2obo2bo6b4o13bo
13bo4bo8b4o6bo2bob2o5bobobo23bo3bo2bo$268bobobobo5b2o2bo8bo3b2o11b2o3b
o8bo2b2o5bobobobo6bobobobo11b2o10bo4bo$268bobob2obo2bo7b3o5bo20b3o12bo
2bob2obobo7bo3b2o12bo8bobo5b2o$267b2ob2o2b2o3b4o9b3o25b3o3b4o3b2o2b2ob
2o21b3o9b2o3bob2obo$270bo2b3o2bo2b2o3bobo15b2o20b2o2bo2b3o2bo24bo16b2o
3bo$270bobob2o5bo5bo16b2o15bo5bo5b2obobo9b2o33b2o$269b2obo2b2obo2bo28b
o16bo2bob2o2bob2o8b2o29bob2o$271bo3b2o2bo2bo26bo16bo2bo2b2o3bo41b2obo$
271bobo7bo27b3o15bo7bobo$270b2ob2o10b3o33b3o10b2ob2o20b2o$283b7o29b7o
33b2o$211b2o11b2o11b2o11b2o24b2o2bo2b2obob2o2bo2b2o15b2o2bo2b2obob2o2b
o2b2o$210bo2bo9bo2bo9bo2bo9bo2bo23bo4b4o3b4o4bo15bo4b4o3b4o4bo$210bobo
3b2ob2o3bobo9bobo3b2ob2o3bobo24b4o11b4o17b4o11b4o47b2obo$208b2o2bobo7b
obo2b2o5b2o2bobo7bobo2b2o26b2o7b2o25b2o7b2o51bob2o$209bobobo4bo4bobobo
7bobobo4bo4bobobo23b5obo2bo2bob5o12b2o3b5obo2bo2bob5o51b2o$208bo2b2o2b
7o2b2o2bo5bo2b2o2b7o2b2o2bo21bo6b7o6bo11b2o2bo6b7o6bo30bo16b2o3bo$208b
2o5bobobobo5b2o5b2o5bobobobo5b2o22b3obo9bob3o17b3obo9bob3o31b3o9b2o3bo
b2obo$217bobo23bobo33b2obob2ob2obob2o4bo16b2obob2ob2obob2o18bo3b2o12bo
8bobo5b2o$199bo2b2o9b3o5b3o15b3o5b3o9b2o2bo17b2obo3bob2o5bo19b2obo3bob
2o19bobobobo11b2o10bo4bo$198bobo2bo2bo5bobobo3bobobo13bobobo3bobobo5bo
2bo2bobo16bo2bo3bo2bo5b3o17bo2bo3bo2bo19bobobo23bo3bo2bo$198bob2obobob
o4b2o2b5o2b2o13b2o2b5o2b2o4bobobob2obo17b2o5b2o27b2o5b2o19b2obob2o24bo
bob2o$81bo2bo112b2obo2bobo2bo45bo2bobo2bob2o7b2o71bo2bobo25bo4bo$81b6o
110bo2bob2o2bo49bo2b2obo2bo7bo70b2obobo2b2o15bo3bo2bo4b3o$37b2o11b2o
26bo8bob2o107b3obobo3b3o34bo6b3o3bobob3o7b2o2b3o64bob2o3b3o14b2o8bo4bo
$36bo2bo9bo2bo22bo2b8obobobob2o105b2obo5b2o5b3o25b3o5b2o5bob2o9bo3bob
3o62bo4b2obobo4b2o9bo7bobob2o$36bobo2b2obob2o2bobo22b3o7bobo3b2ob3o99b
obo2bobo3bo2bo41bo2bo3bobo2bobo5b2obo4bo63b3obo4bo2bo3bo14bo3bo2bo$34b
2o2bob3o3b3obo2b2o23b3ob2o3bo2bo6bo98b2o2b2obob2o2b3o2bo5bo30b3o2b2obo
b2o2b2o7bobo69bobo3b2o6bo16bo4bo$35bobobo2bobobo2bobobo21b2obo5b4obo3b
4o105b2obo3b2o3bo5bo31b2o3bob2o9bo4bob2o69b2o2b2o2bo3bo14bobo5b2o$34bo
2b2o2b3ob3o2b2o2bo20bobo5bo5bo5bo100b5o4bo8bo5bo25bo10bo4b5o3b3obo3bo
67bobo3b2o4b2o15b2o3bob2obo$34b2o17b2o21b2o4bo2b2obo4bo3bo97bo4bob3o
17b2o15b2o4bo12b3obo4bo4b3o2b2o7bo57b3obo4bo10bo15b2o3bo$40bo2bobo2bo
28bo2b2o4bob4o2b4o97bob2obobo6b2o5b3o3bobo13bobo4b3o4b2o6bobob2obo9bo
7bo57bo4b2obobo8b3o3b2o13b2o$25bo2b2o9bo3b3o3bo27b3o6bo4b2o101b2obo2bo
6b4o13bo13bo13b4o6bo2bob2o7b2o7b3o55bob2o3b3o4bobo2bo6bob3o5bob2o$24bo
bo2bo2bo5bo2b7o2bo30bo5b3o3b3o99bobobobo5b2o2bo2bo9b2o11b2o12bo2b2o5bo
bobobo76b2obobo2b2o2bo4bobo5bo2b2o5b2obo$24bob2obobobo4b2o9b2o18bob2o
7b2obo5b2o5bo98bobob2obo2bo7b3o5bo35bo2bob2obobo78bo2bobo5bo3bob2o6b5o
$23b2obo2bobobo26b2o6bo4bo3b3obob2o8b3o98b2ob2o2b2o3b4o2b2ob2o5bo30b4o
3b2o2b2ob2o77b2obob2o5b2obob2o4b2o5bo$23bo2bob2obo3bo7bo15bo2bob2o6b2o
3b3o9b2ob2o9b2ob2o89bo2b3o2bo2b2o3b3o4b3o7b2o21b2o2bo2b3o2bo81bobobo6b
2ob2o4b3ob5o$25b2obo7bo6bo15bob2obo2b2obobo4b2o2b2o5bo8b2o3bobobo90bob
ob2o5bo5bo15b2o16bo5bo5b2obobo81bobobobo3b3obo4bo4b2o$23bo5bo3bobo6bob
o12bobo2bobo4bo4bo8bobo6bo3bob5obo2bo88b2obo2b2obo2bo39bo5bo2bob2o2bob
2o81bo3b2o5b3o4bob4ob5o$22bo4bobo6bo6bo12bobob3ob2obo4bo11bo3b2obo5bob
2ob2ob3o90bo3b2o2bo2bo38bo4bo2bo2b2o3bo92b2o2b2o2b2obo8bo$22b2ob3obob
3ob2o6bo12bobobo6bo4bo7b2o15bobo4bo93bobo7bo45bo7bobo90bo2bo4bo5bo3bob
o$28b2obo4bo18b2obob2o11bo2bo2bo3bo4bo6b3o4bob2o91b2ob2o10b3o33b3o10b
2ob2o89b2obo3bob4ob2o3b3o$22b5o4bo24bobobo6bo4bo6bo3bo4bo6b3o4b2o2bo
103b7o29b7o21bo83b2o3bo3bo2b3o4bo$21bo4bob3o17b2o6bobob3ob2obo4bo6bo3b
o4bo5b2o6b5o96b2o2bo2b2obob2o2bo2b2o15b2o2bo2b2obob2o2bo2b2o13bo81b3o
7bobo3b2ob3o$21bob2obobo19bobo6bobo2bobo4bo4bo5b3o11b3o106bo4b4o3b4o4b
o15bo4b4o3b4o4bo13b3o79bo2b8obobobob2o$20b2obo2bo5bob4o12bo8bob2obo2b
2obobo11b3o3b3ob2o6b5o97b4o11b4o17b4o11b4o99bo8bob2o$21bobobobo3bo2bo
15b2o7bo2bob2o6b2o21b3o4b2o2bo101b2o7b2o14bo10b2o7b2o106b6o$21bobo2bob
o7bo23b2o6bo4bo14bo6b3o4bob2o98b5obo2bo2bob5o3b2o6bo5b5obo2bo2bob5o
102bo2bo$20b2ob2o2b2o2b5o33bob2o8bo6bo8bobo4bo98bo6b7o6bo2b2o4b3o4bo6b
7o6bo$23bo10bo44b2o7b3o6bob2ob2ob3o96b3obo9bob3o17b3obo9bob3o$23bobobo
4bo47b2o8b2o4bob5obo2bo98b2obob2ob2obob2o21b2obob2ob2obob2o$22b2ob4o4b
2o4b3o48bo6b2o3bobobo101b2obo3bob2o25b2obo3bob2o$24bo3bobob3o5bo50b3o
9b2ob2o100bo2bo3bo2bo25bo2bo3bo2bo$24bobo7bo34b2o12b2o8bo115b2o5b2o27b
2o5b2o$23b2ob2o40bo2bo11b2o$37b5o26bobo$33b2ob2o3b2ob2o23bo$32bo13bo
35b2obo$33bo2bo2bo2bo2bo37bobo$33bo11bo38bo$34bobo5bobo38b2o$33bo3bo3b
o3bo3b2o32b2o$34bo3bobo3bo3bobo32b2o198bo$36bobobobo5bo234b3o$34bo9bo
2b2o237bo$34b4o3b4o20b2o218b2o$32b2o4bobo4b4o15bo2bo190b2o$32bo2b2ob3o
b2o4bo11b2o3b2o191b2o$33b3obobobob4o13b2o177bo34b2ob2o$38bobo5b2o191b
3o32b2obo$35b2o5b2o198bo34bo$34bo2b5o2bo17b2o177b2o34b3o4b2o$34b2o3bo
3b2o4bo2bo9b2o211b2o3bo3b2o$49b6o219bo2b4o$46bo8bob2o171b2ob2o39b2obo
15b2o$43bo2b8obobobob2o167b2obo41bo2b3o12bobo$43b3o7bobo3b2ob3o168bo
41bo5bo13bo$46b2o3bo3bo2b3o4bo167b3o4b2o34b5o14b2o$14bob2o9b2obo12b2ob
o3bob4ob2o3b3o166b2o3bo3b2o36bo$14b2obo2b2ob2o2bob2o4bob2o4bo2bo4bo5bo
3bobo14bo151bo2b4o$17bobobobobobo6bob2obo5b2o2b2o2b2obo8bo13b2o149b2ob
o15b2o$14b3o2b2o3b2o2b3o3bo4bo7b3o4bob4ob5o12b2o151bo2b3o12bobo$14bo5b
o3bo5bo2b2ob2obob2o2b3obo4bo4b2o170bo5bo13bo$16b2o2bo3bo2b2o5bobobobob
o3b2ob2o4b3ob5o168b5o14b2o$16bo3bo3bo3bo5bo5bo5b2obob2o4b2o5bo169bo$
17bo9bo5b2ob2obobo3bo3bob2o6b5o$16bo2bo5bo2bo6bobob3o2bo4bobo5bo2b2o9b
2ob2o$16bo2bo2bo2bo2bo6bo2b3o4bobo2bo6bob3o3b2obobobobo210bo$5bo2b2o5b
o13bo6b2obobo8b3o3b2o6bo7bo2bo207b3o$4bobo2bo2bo3b2ob2o3b2ob2o12bo10bo
11b2o4bo2b3o206bo$4bob2obobobo6b5o15b2o23bob4o211b2o$3b2obo2bobo2bo25b
2o3bo17bo6bob2o280bo$3bo2bob2o2bo27b2o4b2o17bo3bo4bo261b2o14b5o$4b3obo
bo3b3o24bo3bo7bo7bo3bo4bob3o262bo13bo5bo$6b2obo5b2o5b3o11b2obobo10bo5b
obo3bo272bobo12b3o2bo$2bobo2bobo3bo2bo18bo2b3o11b3o3bo6bo4bob3o263b2o
15bob2o$2b2o2b2obob2o2b3o2bo5bo8bobob3o16bob2o3bo3bo4bo277b4o2bo$8b2ob
o3b2o3bo5bo6b2ob2obobo21bo6bob2o198b2o73b2o3bo3b2o$2b5o4bo8bo5bo7bo5bo
24bob4o200bobo5b2o66b2o4b3o$bo4bob3o17b2o4bobobobobo4bo16b2o4bo2b3o
195bo7b2o74bo$bob2obobo6b2o5b3o3bobo2b2ob2obob2o3bo6b2o9bo7bo2bo194b2o
83bob2o$2obo2bo6b4o13bo3bo4bo6b3o5bo10b2obobobobo279b2ob2o$bobobobo5b
2o2bo2bo9b2o2bob2obo11b3o17b2ob2o208bo$bobob2obo2bo7b3o5bo7bob2o12bo
228b2obobo75b2o$2ob2o2b2o3b4o2b2ob2o5bo250bobobobo60b2o12b4o$3bo2b3o2b
o2b2o3b3o4b3o12bo234bo2bobobob2o59bo12b2ob2o7b2o$3bobob2o5bo5bo19bo
235b4ob2o2bo61b3o9b2o2b2o5bob5o$2b2obo2b2obo2bo25b3o237bo4bo63bo8b3o
10b2o4b2o$4bo3b2o2bo2bo260b2o2bob3o73b3o4b3o3bo$4bobo7bo18bo242b2o3b2o
75b3o4b3o3bo$3b2ob2o10b3o13bo323b3o10b2o4b2o$10b2o4b7o4b2o3b3o324b2o2b
2o5bob5o$10bo2bo2b2obob2o2bo2bo13b2o10b2o22b2o22b2o22b2o231b2ob2o7b2o$
11b2ob4o3b4ob2o13b4o8b4o20b4o20b4o20b4o231b4o$8b3o2bo11bo2b3o10b2ob2o
7b2ob2o19b2ob2o19b2ob2o19b2ob2o231b2o$7bo3b2ob2o7b2ob2o3bo11b2o10b2o
22b2o22b2o22b2o$7b2obo3b2o7b2o3bob2o$8bob3o3bo5bo3b3obo6bo95b2o94b2o$
7bo6b2o7b2o6bo5b2o93b4o92b4o$8b6o11b6o5bobo10bob2o12bo66b2ob2o91b2ob2o
$10bo2bo11bo2bo19bob2obo11b3o17b2ob2o44b2o94b2o147b3o$48bo4bo14bo10b2o
3bobobo295bo$27bo12b2obo3b2ob2obob2o10b2o9bob5obo2bo289b2o3b3o$3b2ob2o
17b3o3bo7bob2obo3bobobobobo6b2o14bob2ob2ob3o285b2o3b2o2bobo$4bobo6bo
10bo6b2o6bo4bo3bo3bobo7b2o15bobo4bo134bo2bo150b2o3b2o2bobo$3bo2bo2bo2b
obo9b2o4bobo3b2obob2ob2ob2obo4bo8bo5bo6b3o4bob2o133b6o128bo23b2o3b3o$
3b3ob2obob3o21bobobobobo4bobo2b2o13b3o5b3o4b2o2bo129bo8bob2o56b2o48b2o
14b2obo27bo$6bobobob2o24bobobobo4bo2bobo13b2ob2o3b2o6b5o97bob2o9b2obo
12bo2b8obobobob2o52bobo47bobo13b2obo5b3ob2o11b3o$5bob2o3bobo22bobob2ob
2o4b2o4bo12b3o4b3o107b2obo2b2ob2o2bob2o12b3o3bo3bobo6b3o52bo49bo14b2o
3bo4b2o2b2o$4bo3b2o4bo4bo5bo11bo3bobo10bo8bo6bo5b2o6b5o100bobobobobobo
18b2o3bo3bobo2bo4bo51b2o48b2o17b2o5bo4bo$4b2o7b2o2b2ob2o3b2o16bo10bo6b
2ob2o11b3o4b2o2bo97b3o2bobobobo2b3o12b2obo3bob4obo2b5o121b2o5bo4bo$13b
2o4bo4bobo10bobob2o12bo2bo4bo13b3o4bob2o98bo15bo4bob2o4bo2b2obobo5b2o
4bo118b2o3bo4b2o2b2o$4b2o7b2o17bo3b2o16bo24bobo4bo100bob3obobob3obo4bo
b2obo5b2o2b2o2b2obo3b2o3bo115b2obo5b3ob2o$4bo3b2o4bo17b2o2bo17bo11bo3b
2obo5bob2ob2ob3o38b2o17b2o3bo3b2o32bobo3bobo7bo4bo14bob4ob5o115b2obo$
5bob2o3bobo17bo3bo2bo10b2o4bo8bobo6bo3bob5obo2bo38b2o17bo2b5o2bo29bo2b
o7bo2bo3b2ob2obob2o2bo8bo128bo$6bobobob2o22bo12bo2bobo4b2o2b2o5bo8b2o
3bobobo59b2o5b2o33bo7bo7bobobobobo6bobo3b3o3b3o$3b3ob2obob3o11bo9b2o
11bobo2b2o3b3o9b2ob2o9b2ob2o54b2o4b5o32bo13bo4bobobobo4bobobo2bo4bo6bo
$3bo2bo2bo2bobo3bob3o3bobo8bobob2o4b2obo4bo3b3obob2o8b3o67b4obo3bob3o
18bo2b2o5bob2ob2ob2ob2obo3b2ob2obobo3b2o2bo7bobo2b2o$4bobo6bo3bobobo4b
o2bo13bo4bo3bobo7b2obo5b2o5bo64bo4b2o5b2o2bo16bobo2bo2bo3b2o4bo4b2o6bo
bo3bo2b3ob2ob2o18b2ob2o144b2o11b2o11b2o11b2o$3b2ob2o18b2ob2ob3o2bo3bob
o4bobobobobo6bo5b3o3b3o65b4o4bobo4b2o16bob2obobobo5bo5bo9bo13bo2bo4bob
obo3bo6bobo144bo2bo9bo2bo9bo2bo9bo2bo$15b2o2bobo7bo2b2o3bobob2ob2ob2ob
2obob2o2b3o6bo4b2o72b4o3b4o17b2obo2bobobo22b2obobo8bobo3b3obo3bobo2bo
2bo2bo143bobo3b2ob2o3bobo9bobo3b2ob2o3bobo$14bo6bo4bo2bobobo4bobobobo
3bo4bo5bo2b2o4bob4o2b4o63b2o2bo9bo17bo3bobobob3o5bo2bo16b2o9bo11b3obob
2ob3o141b2o2bobo7bobo2b2o5b2o2bobo7bobo2b2o$15b3o3b3o3bobo6bobobobobo
3bob2obo4b2o4bo2b2obo4bo3bo63bo4bobo3bobo19b2o4b2ob3o6b3o17bo22b2obobo
bo145bobobo4bo4bobobo7bobobo4bo4bobobo$24bo8bo2b2obob2ob2o3bob2o4bobo
5bo5bo5bo29b2o32bobo7bobo21b3o3b3obobo5b2ob2o13bo2bo3bo17bobo3b2obo
143bo2b2o2b7o2b2o2bo5bo2b2o2b7o2b2o2bo$13b5ob4obo14bo4bo12b2obo5b4obo
3b4o28b2o32b2o3b3obo3bob3o15bo2b2o2bo2bo9b3o17bo3bo17bo4b2o3bo142b2o5b
obobobo5b2o5b2o5bobobobo5b2o$13bo3b2o3bob2o2b2o2b2o5bob2obo15b3ob2o3bo
2bo6bo66b2o9b2o15b2o2b2obob2ob3o6bo17b2o3bo6bobo8b2o7b2o151bobo23bobo$
15bo4b2o5bobob2o2bo4b2obo13b3o7bobo3b2ob3o67b3o7b3o21b2obo4bo19b2obobo
11b2o5bo3b2o142bo2b2o9b3o5b3o15b3o5b3o9b2o2bo$14b5o2bob4obo3bob2o21bo
2b8obobobob2o29b2o37b2o11b2o14b5o4bo23bo18bo3b2o4b2o7b2o132bobo2bo2bo
5bobobo3bobobo13bobobo3bobobo5bo2bo2bobo$13bo4bo2bobo3bo3b2o27bo8bob2o
33b2obo35bob4o3b4obo13bo4bob3o17b2o5bobo3bo18bo3bo4b2o3bo132bob2obobob
o4b2o2b5o2b2o13b2o2b5o2b2o4bobobob2obo$14b3o6bobo3bo3b3o27b6o40bo36bo
2b2obob2o2bo14bob2obobo15bo3bobo2b2ob2obobo22bobo3b2obo132b2obo2bobo2b
o45bo2bobo2bob2o$16b2obobobob8o2bo27bo2bo42bo5bo33b7o16b2obo2bo5b2o2b
2o4bobo5bo3bobobobo24b2obobobo133bo2bob2o2bo49bo2b2obo2bo$20b2obo8bo
73bo2bo5bo35b3o10b2ob2o4bobobobo4b3obo6b2o5b2o2bobobobobo4bobo14b3obob
2ob3o84bo2bo43b3obobo3b3o6bo34b3o3bobob3o$24b6o68bo8b2o6bo41bo7bobo5bo
bo2bobo2bo3b2o16b2ob2obob2o4b2o4b2o9bobo2bo2bo2bo84b6o43b2obo5b2o5b3o
25b3o5b2o5bob2o$26bo2bo54b2ob2o9b3o50bo4bo2bo2b2o3bo4b2obo4b7o19bo4bo
8bo5bo10bo6bobo82bo8bob2o35bobo2bobo3bo2bo41bo2bo3bobo2bobo$85bobobobo
b2o6bo49bo5bo2bob2o2bob2o5bo5bo10bo13bob2obo11b3o17b2ob2o78bo2b8obobob
ob2o31b2o2b2obob2o2b3o8b2o20bo5bo2b3o2b2obob2o2b2o$84bo2bo7bo4b2o49bo
5bo5b2obobo6bobo3b4o2bo4bo9bo4bob2o12bo102b3o3bo3bobo6b3o35b2obo3b2o3b
o4bo22bo5bo3b2o3bob2o$74b2o8b3o2bo4b2o60b2o2bo2b3o2bo5b2ob4ob3o6bobo6b
obo126b2o3bo3bobo2bo4bo28b5o4bo8bo27bo5bo8bo4b5o$73bobo13b4obo24bo36b
4o3b2o2b2ob2o4bo3bobo2bobo4bo8b2o10bobo9bo2bo11bo2bo53bob2o9b2obo12b2o
bo3bob4obo2b5o28bo4bob3o12bo5bo15b2o17b3obo4bo$75bo10b2obo6bo5b3o13bob
o9b2o28bo2bob2obobo5bobo7bo5bo20b2o8b6o11b6o51b2obo2b2ob2o2bob2o4bob2o
4bo2b2obobo5b2o4bo29bob2obobo6b2o4b3o3b2obo13bobo3b3o5b2o6bobob2obo$
85bo4bo3bo6bo3bo12b3ob3ob2obo2bo7b2o12bo2b2o5bobobobo4b2ob2o34bo7bo6b
2o7b2o6bo53bobobobobobo6bob2obo5b2o2b2o2b2obo3b2o3bo26b2obo2bo6b4o13bo
13bo13b4o6bo2bob2o$85b3obo4bo6bo3bo13b2ob2o3bob2obo8bo13b4o6bo2bob2o
10b2o15b2o22bob2obo2bo5bo2bob2obo51b3ob2obobob2ob3o3bo4bo14bob4ob5o27b
obobobo5b2o2bo12b2o11b2o9bo2bo2b2o5bobobobo$95bo2bo2bo3bo12bobobob2obo
4bobo6bobo4b3o4b2o6bobob2obo11bo2b2ob7ob2o2bo7bo13b2obo3bobo5bobo3bob
2o50bo2bo2b2ob2o2bo2bo2b2ob2obob2o2bo8bo38bobob2obo2bo10b2o23bo5b3o7bo
2bob2obobo$85b3obo4bo7b3o4b3o6bo4bob3obobobobo6b2o4bo12b3obo4bo12b2ob
2o2b3o2b2ob2o6bobo13bo3b2o2bo7bo2b2o3bo51b3ob3ob3ob3o4bobobobobo6bobo
3b3o3b3o28b2ob2o2b2o3b4o12bo17bo5b2ob2o2b4o3b2o2b2ob2o$85bo4bo3bo14bob
o6b2o5bo3bo3bobo13bo10bo4b5o10b3o2b4o5b4o2b3o4b2o9bo4b3o17b3o53bo11bo
5bobobobo4bobobo2bo4bo6bo30bo2b3o2bo2b2o13bo7b2o7b3o4b3o3b2o2bo2b3o2bo
$86b2obo6bo12b3o6b2o10b2obob2o18b2o3bob2o15bo3bo3bo7bo3bo3bo13b2o7b2ob
2ob2ob2ob2ob2o56b2o9b2o4b2ob2obobo3b2o2bo7bobo2b2o31bobob2o5bo5bo6b3o
7b2o15bo5bo5b2obobo$30b2o3bo3b2o17b2o29b4obo23b2o5bo3bo3bobo18b3o2b2ob
ob2o2b2o9b2obo2b2obo5bob2o2bob2o13bobo5bo2b2o4bo4b2o2bo55b3o7b3o6bobo
3bo2b3ob2ob2o18b2ob2o18b2obo2b2obo2bo5bo39bo2bob2o2bob2o$30bo2b5o2bo
17b2o24b3o2bo4b2o11bo10bo4bob3obobobobo19bo2bo3bobo2bobo10bob2obo2bo5b
o2bob2obo6bobo13b2o4bo5bo4b2o54b2o11b2o5bo13bo2bo4bobobo3bo6bobo21bo3b
2o2bo2bo4bo38bo2bo2b2o3bo$31b2o5b2o44bo2bo7bo6b2o3b3o8bobobob2obo4bobo
12b3o5b2o5bob2o13bo6b2o7b2o6bo8bo33b2ob2o37bo2b2o5bob4o3b4obo6b2obobo
8bobo3b3obo3bobo2bo2bo2bo20bobo7bo26bo18bo7bobo$33bobobo4b2o41bobobobo
b2o3b3obo6bo2bobo4b2ob2o3bob2obo15bo6b3o3bobob3o12b6o11b6o9bo19bo2bo9b
obobo37bobo2bo2bo3bo2b2obob2o2bo12b2o9bo11b3obob2ob3o19b2ob2o10b3o13bo
5bo13b3o10b2ob2o$29b3o3bo3b4o13b2o26b2ob2o9b2o2bo5bobo4bo2b3ob3ob2obo
2bo26bo2b2obo2bo13bo2bo11bo2bo8bo2bo11bo7bobo3b3o2b4o2bo37bob2obobobo
5b7o16bo22b2obobobo35b7o12bo4b3o9b7o$28bo2bob2ob2obo4bo11b2o3b2o33b5o
6b2obo3bo3bobo9b2o25bo2bobo2bob2o41b3o10b2o13b3o2bo3b2ob2o34b2obo2bobo
bo7b3o15bo2bo3bo17bobo3b2obo27b2o2bo2b2obob2o2bo2b2o3b3o9b2o2bo2b2obob
2o2bo2b2o$28b2o11b4o15bo2bo31bo5b2o4b2obob2o5bo21b2o2b5o2b2o4bobobob2o
bo17bo2bo11bo2bo19bobo6b3o4b2o2bo4bobo35bo2bobo2bob2o27bo2b2o17bo4b2o
3bo26bo4b4o3b4o4bo15bo4b4o3b4o4bo$30b4o3b4o20b2o33b5ob3o4b2ob2o27bobob
o3bobobo5bo2bo2bobo15b6o11b6o35bo2bo3bobo36bo5bo3bobo6bo17b2o3bo17b2o
7b2o27b4o11b4o17b4o11b4o$30bo2bo3bo2bo2b2o54b2o4bo4bob3o27b3o5b3o9b2o
2bo15bo6b2o7b2o6bo31bob3obo5bob2o32b2o4b2o6bo5bo12b2obobo10bobo4bo4b2o
40b2o7b2o25b2o7b2o$32b3ob3o5bo49b5ob4obo4b3o33bobo34bob3o3bo5bo3b3obo
32bo6bo2bobobo32bo2bo3bo2bobo8bo11bo16b2o3b2ob2o2b2o7b2o27b5obo2bo2bob
5o12b2o3b5obo2bo2bob5o$30bobo5bobo3bobo32b2o13bo8bob2o2b2o2b2o22b2o5bo
bobobo5b2o24b2obo3b2o7b2o3bob2o15b2o6bo6bo2b2o4bobobobo32b2o2b2obob2ob
o2bo17bobo3bo11bo5bo4bo4b2o3bo26bo6b7o6bo11b2o2bo6b7o6bo$30b2obo3bob2o
4b2o32b2o15bobo3bo5bo4bo2bo20bo2b2o2b7o2b2o2bo24bo3b2ob2o7b2ob2o3bo16b
o5b2o5bo3bo6bo2bob2o37b2obo3bobob3o3b3o5b2ob2obobo22bobo3b2obo28b3obo
9bob3o17b3obo9bob3o$30b3o5b3o54b3o3b2ob4obo3bob2o21bobobo4bo4bobobo26b
3o2bo11bo2b3o17bobo3bobo5bo7bobob2obo32b5o4bo15bo6bobobobo24b2obobobo
31b2obob2ob2obob2o21b2obob2ob2obob2o$80bo13bo4b3o2bo3bo3b2o23b2o2bobo
7bobo2b2o28b2ob4o3b4ob2o6bobo12b2o17b3obo4bo31bo4bob3o12bo3b3o4bobobob
obo21b3obob2ob3o30b2obo3bob2o25b2obo3bob2o$29b4o5b4o37bobo13b3ob2o3bob
o7b3o22bobo3b2ob2o3bobo29bo2bo2b2obob2o2bo2bo8bo29bo4b5o32bob2obobo7bo
6bo4bobo2b2ob2obob2o3bobo4b2o9bobo2bo2bo2bo30bo2bo3bo2bo25bo2bo3bo2bo$
28bob2o2b3o2b2obo35bo2bo15b2obobobob8o2bo22bo2bo9bo2bo29b2o4b7o4b2o8bo
23bobo3bob2o37b2obo2bo6bo3bo5bo6bo3bo4bo6b2o6bo10bo6bobo32b2o5b2o27b2o
5b2o$29b2ob7ob2o23bo11bo2bo20b2obo8bo26b2o11b2o23b2ob2o10b3o13bo2bo17b
o5bo2bob2obob2o2b2o32bobobobo4b2o2bo2b3o8b2o2bob2obo7bo3b3o17b2ob2o$
64bobo38b6o68bobo7bo20b3o16bobo7bobo2bo3bo2bo32bobobo2bo6bo6bo12bob2o
12bo$19b2ob2o40bo2bo9bo2bo26bo2bo68bo3b2o2bo2bo37bo3bo3bo6b2o4b2o32b2o
bo5bob3obo2bo3bo3bobo$20bobo7bo34b2o12b2o8bo87b2obo2b2obo2bo39bobo5bob
o3bo5bo36bobo3bo2bo5bo3bo4b2o$20bo3bobo2bobo3bobo49b3o9b2ob2o74bobob2o
5bo5bo34bo8b2obo2bobo2bo35bobo4bo2b2o4b3o5bo12bobo$18b2ob4ob3o7bo49bo
6bo6bobo75bo2b3o2bo2b2o3b3o4b3o26b3o7bobobo2bob2o34b2ob2o3bo2b3o24b2o$
19bobo3b4o2bo4bo39b2o8b2o4bob2ob2obo2bo71b2ob2o2b2o3b4o2b2ob2o5bo24b7o
5bobobob2obo37bo2b4o2b3o25bo$19bo5bo50bobo13bo3bobo2b3o72bobob2obo2bo
7b3o5bo22bo2b2obob2o2bo3bo2bo2bobo37bobobo10bo$16b2obo4b7o36b2o7bo6b3o
90bobobobo5b2o2bo2bo9b2o17bob4o3b4obo5b2o2bo37b2ob2o24bobo$17bobo2bobo
2bo3b2o23b2o6b4obo22bob2o4b2o73b2obo2bo6b4o13bo18b2o11b2o54b2o4bo5bo4b
2o4b2o$17bobobobo4b3obo13b2o7bo2bob2o2b3obo12bo5bo3b2o4b4obo73bob2obob
o6b2o5b3o3bobo19b3o7b3o55bo2b2o4bo4b2o2bo4bo7bo2bo$16b2obo2bo5b2o2b2o
12bo8bob2obobobobobo12bo5bo3bo9b2o73bo4bob3o17b2o20b2o9b2o56b2ob2ob2ob
2ob2ob2o17bo$17bob2obobo19bobo6bobo2bobo7b3o6bo3bo5bo3bo2bo82b5o4bo8bo
5bo23bo11bo53b3o17b3o10bo3bo$17bo4bob3o17b2o6bobob2o2bobobo3b3o5b3o12b
o9b2o80b2obo3b2o3bo5bo22b3ob3ob3ob3o51bo3b2o2bo7bo2b2o3bo10b4o$18b5o4b
o24bobobo2bo3bo6b2o3b2ob2o3b3o5b2o4b4obo74b2o2b2obob2o2b3o2bo5bo21bo2b
o2b2ob2o2bo2bo50b2obo3bobo5bobo3bob2o$24b2obo4bo18b2obobo12b3o4b3o13bo
b2o4b2o75bobo2bobo3bo2bo31b3ob2obobob2ob3o51bob2obo2bo5bo2bob2obo6b2o$
18b2o2b2obob2ob3o19bobobo2bo3bo6b2o5bo103b2obo5b2o5b3o26bobobobobobo
53bo6b2o7b2o6bo4bobo$18bo2b2o2bo2bo9b3o11bobob2o2bobobo3b3o8bo5bo6bo3b
obo2b3o75b3obobo3b3o31b2obo2b2ob2o2bob2o51b6o11b6o7bo10bob2o12bo$19b3o
3b3obobo21bobo2bobo7b3o9b2o2b5o3bob2ob2obo2bo74bo2bob2o2bo35bob2o9b2ob
o53bo2bo11bo2bo19bob2obo11b3o17b2ob2o$20b2o4b2ob3o6bobo14bob2obobobobo
bo4bo2b2o2b2o2b2ob2o4bo6bobo75b2obo2bobo2bo141bo4bo14bo10b2obobobobo
17b2o5b2o27b2o5b2o$19bo3bobobob3o6bo2bo13bo2bob2o2b3obo3bob4ob2o7bobo
8b2ob2o75bob2obobobo6b5o110bo12b2obo3b2ob2obob2o10b2o9bo7bo2bo15bo2bo
3bo2bo25bo2bo3bo2bo$19b2obo2bobobo26b2o6b4obo7bob2o5bo4bo87bobo2bo2bo
3b2ob2o3b2ob2o5bobo74b2ob2o17b3o3b2o6bob2obo3bobobobobo21b2o4bo2b3o16b
obo3bobo27bobo3bobo$20bob2obobobo4b2obo5bob2o20b2o4bo3bo7bo3bo2bo87bo
2b2o5bo13bo7bo74bobo6bo10bo5bobo6bo4bo3bo5bo24bob4o18bo2bob2ob2obo2bo
21bo2bob2ob2obo2bo$20bobo2bo2bo5bo5bo5bo27bobobo4b3o4b2o99bo2bo2bo2bo
2bo8bo73bo2bob2ob2obo9b2o6bo3b2obob2ob2ob2ob2obobo13b3o5bo6bob2o13b3ob
2o7b2ob3o17b3ob2o7b2ob3o$21bo2b2o9b2ob2ob2ob2o36bo5bo102bo2bo5bo2bo5bo
2bo73b3o2bobo3bo21bobobobobo4bobob3o12bo3bo6bo3bo4bo11bo4bob7obo4bo11b
2o2bo4bob7obo4bo$73b2o7bob4ob5o98bo9bo7b3o108bobobobo4bo2b3o13bo3bo6bo
4bob3o12b5obo2bo2bob5o12b2o3b5obo2bo2bob5o$30b2o5b2o3b2o5b2o22b6o2b2ob
o3b2o3bo97bo3bo3bo3bo84b2o4b2obo22bobo4b2o4b2obobo12bo3bo2bo2bo$30bo2b
2o11b2o2bo20bo3b3obo5b3o3bo99b2o2bo3bo2b2o83bob4o4b2o2b3o4b2o11bob2obo
11bo6b3o4b3o7bo4bob3o12b4o2bo2bo2bo2b4o17b4o2bo2bo2bo2b4o$31bobo4bobob
o4bobo21b2o3bobob4obob6o96bo5bo3bo5bo81b2o9bo2bobo3bobo11bob2obo10b2o
6bobo14bo3bo4bo11bo2bo13bo2bo15bo2bo13bo2bo$30b2o2bob9obo2b2o23b2o2b2o
3bo4bo4bo95b3o2b2o3b2o2b3o89bo2bo2b3o5bo9b3o3bo11b2o6b3o12bo6bob2o12b
2o2b2ob2o3b2ob2o2b2o15b2o2b2ob2o3b2ob2o2b2o$32bob2o4bo4b2obo22b3o3bo3b
obo2bobob3o99bobobobobobo84b2o9bo16b2o2b3o15b2o23bob4o23b5o31b5o$32bo
2bo9bo2bo22bo2b8obobo3b2o98b2obo2b2ob2o2bob2o81bob4o4b2o15b3ob2o18bo
10bo11b2o4bo2b3o4b2ob2o59b2ob2o$33b2o11b2o26bo8bob2o94bo2bo4bob2o9b2ob
o82b2o4b2obo17b2ob3o12b2obobo8b3o3b2o6bo7bo2bo5bobo7bo45bo7bobo$77b6o
96b6o55bo2bo74b2o12bo2b3o4bobo2bo6bob3o3b2obobobobo6bo3bobob3o45b3obob
o3bo$77bo2bo94b2obo8bo52b6o40b3o2bobo3bo6bo5bo8b3o10bobob3o2bo4bobo5bo
2b2o9b2ob2o3b2ob4o4b2o4b3o38b2o4b4ob2o$171b2o3bobob8o2bo46bo8bob2o36bo
2bob2ob2obo3b5o2b2o9b3o3bo4b2ob2obobo3bo3bob2o6b5o16bobobo4bo24b2o15bo
7bo4bobobo$169b3obobo2bobo3bo3b3o43bo2b8obobobob2o33bobo6bo4b2ob2o2b2o
2b2o2bo4bob2obo4bo5bo5b2obob2o4b2o5bo15bo10bo22b2o14bobo4bo10bo$168bo
4bo4bo3b2o2b2o46b3o7bobo3b2ob3o30b2ob2o8bobo7b2ob4obo3bob2obo4bobobobo
bo3b2ob2o4b3ob5o13b2ob2o2b2o2b5o36bo3bo2b5o2b2o2b2ob2o$169b6obob4obobo
3b2o32b3o11b2o3bo3bo2b3o4bo41bo4bo5b2obo7bobo4b2ob2ob2obob2o2b3obo4bo
4b2o17bobo2bobo7bo36bobo2bo7bobo2bobo$170bo3b3o5bob3o3bo34bo8b2obo3bob
4ob2o3b3o41bo2bo3bo7bo3bo4bobobobo3bo4bo7b3o4bob4ob5o12bobobobo3bo2bo
15b2o11b2o9bo5bo2bo3bobobobo$168bo3b2o3bob2o2b6o35bo9bo2bo4bo5bo3bobo
43b2o4b3o4bobobo3bobobobobo3bob2obo5b2o2b2o2b2obo8bo11b2obo2bo5bob4o
12bo13bo12b4obo5bo2bob2o$168b5ob4obo7b2o3b2o3bo38b2o2b2o2b2obo8bo44bo
5bo11b2obob2ob2o3bob2o4bo2bo4bo5bo3bobo14bob2obobo19bobo13bobo4bo14bob
ob2obo$173bo5bo12bobobobo28bo3b2o5b3o4bob4ob5o39b5ob4obo7b2o5bo4bo12b
2obo3bob4ob2o3b3o13bo4bob3o17b2o15b2o3b3o11b3obo4bo$170b2o4b3o4bobobo
6bobobo27bobobobo3b3obo4bo4b2o44bo3b2o3bob2o2b6o5bob2obo15b2o3bo3bo2b
3o4bo13b5o4bo37bobobo9bo4b5o$169bo2bo3bo7bo3bo5bobob2o26bobobo6b2ob2o
4b3ob5o43bo3b3o5bob3o3bo4b2obo13b3o7bobo3b2ob3o20b2obo4bo31b3ob3o3bo4b
ob2o$170bo4bo5b2obo7bobobo2bo17b2o6b2obob2o5b2obob2o4b2o5bo41b6obob4ob
obo3b2o21bo2b8obobobob2o16b2ob3obob3ob2o32bobobo4b2ob3obob3ob2o$163bob
2o4bobo7b2ob4obo3bob2obob2o14bobo6bo2bobo5bo3bob2o6b5o41bo4bo4bo3b2o2b
2o27bo8bob2o20bo4bobo6bo6bo26b3o5bo6bobo4bo$163b2obo6b2ob2o2b2o2b2o2bo
4bobo3b2obo15bo4b2obobo2b2o2bo4bobo5bo2b2o5b2obo35b3obobo2bobo3bo3b3o
27b6o25bo5bo3bobo7bo27bo7bobo3bo5bo$161b2o10b5o2b2o9b3o2b2o4bo19bob2o
3b3o4bobo2bo6bob3o5bob2o37b2o3bobob8o2bo27bo2bo29b2obo7bo5bobo33bo7bob
2o$160bo3b2o10bo5bo8b3o3bob3o20bo4b2obobo8b3o3b2o13b2o39b2obo8bo61bo2b
ob2obo3bo43bo3bob2obo2bo$160bob2obo3b2o19b2o5bobo11b3o9b3obo4bo10bo15b
2o3bo42b6o64b2obo2bobobo47bobobo2bob2o$161bo2bo3bobo13bo5b3o3b2o15bo
11bobo3b2o21b2o3bob2obo44bo2bo65bob2obobobo4b2o9b2o13b2o9b2o4bobobob2o
bo$163bo4b2o14bobo3b2o5bobo12bo14b2o2b2o6b3o12bobo5b2o114bobo2bo2bo5bo
2b7o2bo13bo2b7o2bo5bo2bo2bobo$165b2obo15bo6b3o3bob3o23bobo3b2o6bobo14b
o4bo117bo2b2o9bo3b3o3bo15bo3b3o3bo9b2o2bo$162bo2bo3b2o5b2o13b3o2b2o4bo
20b3obo4bo6b3o4b3o5bo3bo2bo132bo2bobo2bo17bo2bobo2bo$162bo2b3o2bo5b3o
14bobo3b2obo19bo4b2obobo12bo3bo6bobob2o126b2o17b2o5b2o17b2o$164b2o4bo
5b2o15bob2obob2o20bob2o3b3o13bo3bo6bo4bo126bo2b2o2b3ob3o2b2o2bo5bo2b2o
2b3ob3o2b2o2bo$162bo2b3o2bo21bobobo2bo5b2o16b2obobo2b2o12bo3bo2bo2bo4b
3o126bobobo2bobobo2bobobo7bobobo2bobobo2bobobo$162bo2bo3b2o23bobob2o4b
obo18bo2bobo9bo5b3o7bo4bo126b2o2bob3o3b3obo2b2o5b2o2bob3o3b3obo2b2o$
165b2obo25bobobo7bo18b2obob2o7bo16bobob2o128bobo2b2obob2o2bobo9bobo2b
2obob2o2bobo$163bo4b2o9b2o11bobobobo27bobobo8b3o12bo3bo2bo128bo2bo9bo
2bo9bo2bo9bo2bo$161bo2bo3bobo8bo12b2o3bo28bobobobo11b2o10bo4bo129b2o
11b2o11b2o11b2o$160bob2obo3b2o9b3o44bo3b2o12bo8bobo5b2o$160bo3b2o16bo
39b3o17b3o9b2o3bob2obo$161b2o59bo19bo16b2o3bo$163b2obo56bo38b2o$163bob
2o91bob2o$258b2obo2$185b2o6b2o$185b2o5bobo43b2o$194bo43b2o$163bob2o$
163b2obo29b2o60b2obo$161b2o33b2o29b2o29bob2o$160bo3b2o16bo44b2o5b3o25b
2o$160bob2obo3b2o9b3o51bo7bo16b2o3bo$161bo2bo3bobo8bo12b2o3bo37bo6b3o
9b2o3bob2obo$163bo4b2o9b2o11bobobobo28bo3b2o12bo8bobo5b2o$165b2obo25bo
bobo27bobobobo11b2o10bo4bo$162bo2bo3b2o23bobob2o26bobobo23bo3bo2bo$
162bo2b3o2bo4bo5b2o9bobobo2bo25b2obob2o8b3o13bobob2o$164b2o4bo5bo3bobo
10bob2obob2o23bo2bobo9bo15bo4bo$162bo2b3o2bo4b3o4bo10bobo3b2obo20b2obo
bo2b2o8bo5bo4bo2bo4b3o$162bo2bo3b2o5bo10bo3b3o2b2o4bo19bob2o3b3o13b2ob
2o6bo4bo$165b2obo6bo10bobo2b3o3bob3o20bo4b2obobo14bo8bobob2o$163bo4b2o
15bo3b3o5bobo23b3obo4bo7bo13bo3bo2bo$161bo2bo3bobo15bobob3o3b2o27bobo
3b2o6b2o15bo4bo$160bob2obo3b2o16bo2b2o5bobo27b2o2b2o7bo13bobo5b2o$160b
o3b2o10bo5bo8b3o3bob3o23bobo3b2o21b2o3bob2obo$161b2o10b5o2b2o9b3o2b2o
4bo20b3obo4bo10bo15b2o3bo$163b2obo6b2ob2o2b2o2b2o2bo4bobo3b2obo19bo4b
2obobo8b3o3b2o13b2o$163bob2o4bobo7b2ob4obo3bob2obob2o20bob2o3b3o4bobo
2bo6bob3o5bob2o$170bo4bo5b2obo7bobobo2bo23b2obobo2b2o2bo4bobo5bo2b2o5b
2obo$169bo2bo3bo7bo3bo5bobob2o25bo2bobo5bo3bob2o6b5o$170b2o4b3o4bobobo
6bobobo26b2obob2o5b2obob2o4b2o5bo$173bo5bo12bobobobo27bobobo6b2ob2o4b
3ob5o$168b5ob4obo7b2o3b2o3bo28bobobobo3b3obo4bo4b2o$168bo3b2o3bob2o2b
6o38bo3b2o5b3o4bob4ob5o$170bo3b3o5bob3o3bo45b2o2b2o2b2obo8bo$169b6obob
4obobo3b2o43bo2bo4bo5bo3bobo$168bo4bo4bo3b2o2b2o46b2obo3bob4ob2o3b3o$
169b3obobo2bobo3bo3b3o46b2o3bo3bo2b3o4bo$171b2o3bobob8o2bo43b3o7bobo3b
2ob3o$175b2obo8bo46bo2b8obobobob2o$179b6o52bo8bob2o$181bo2bo55b6o$240b
o2bo!
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Re: is this c/10 spaceship known?

Postby thunk » April 2nd, 2016, 2:04 am

@ Dean Hickerson:

In the sawtooth, you already send two glider streams through the puller spaceships. Maybe you could use a third to synthesize the lower LWSS stream and dispense with the interleaved lower glider guns that way?

Of course, this is likely to fail due to some technical reason or another..
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Re: is this c/10 spaceship known?

Postby Dean Hickerson » April 2nd, 2016, 5:46 am

thunk wrote:In the sawtooth, you already send two glider streams through the puller spaceships. Maybe you could use a third to synthesize the lower LWSS stream and dispense with the interleaved lower glider guns that way?

I tried that, but none of the 3-glider syntheses of a LWSS that are in Mark Niemiec's database worked; in each case one of the gliders would have to pass through a LWSS that's already there.
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Re: is this c/10 spaceship known?

Postby Apple Bottom » April 4th, 2016, 7:47 pm

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Re: is this c/10 spaceship known?

Postby SuperSupermario24 » April 4th, 2016, 9:34 pm


So I guess it was only a matter of time before this was found anyway?
bobo2b3o2b2o2bo3bobo$obobobo3bo2bobo3bobo$obobob2o2bo2bobo3bobo$o3bobo3bo2bobobobo$o3bob3o2b2o3bobo2bo!
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Re: is this c/10 spaceship known?

Postby towerator » April 5th, 2016, 12:45 am

Looks like the copperhead went past the loafer (again...) as the "first semi natural spaceship not being c/2...

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Re: is this c/10 spaceship known?

Postby codeholic » April 5th, 2016, 1:31 am

Well, the problem with the loafer is that it's gonna be arguably 100% natural, even if it comes out of a symmetric soup, because it's asymmetric itself. But that also means that effectively there are more cells to occur serendipitously.
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Re: is this c/10 spaceship known?

Postby calcyman » April 5th, 2016, 1:00 pm

SuperSupermario24 wrote:

So I guess it was only a matter of time before this was found anyway?


Would anyone have actually explored D2_+2 to this extent if it weren't for zdr's prior discovery of the copperhead? Indeed, I think that it was competition with CopperSearch that finally motivated me to add symmetry support to apgmera.
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