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Small Spaceship Syntheses

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

Re: Small Spaceship Syntheses

Postby dvgrn » December 30th, 2017, 10:16 am

M. I. Wright wrote:I tried very very hard to procure a 1G "silver-bullet" cleanup but to no avail (couldn't automate the searching either because lord knows what gencols has against me). This is the quickest-recovering of the many 31-glider 2G-cleanup solutions I managed to find.

Thanks for the tip! A few minutes with the Seeds of Destruction Game was enough to dig up a 30-glider recipe, still with the same repeat time because of that awkward glider in the north-northeast:

x = 188, y = 195, rule = B3/S23
173bo$172bo$172b3o$8bo$9b2o$8b2o$2bo$obo183bo$b2o181b2o$185b2o3$168bo
13bobo$168bobo11b2o$168b2o13bo2$19bo145bo$17bobo144bo$18b2o144b3o9bo$
174b2o$151bobo21b2o$151b2o$152bo$20bo$21bo$19b3o6$159bo$157b2o$158b2o
24$116bobo$116b2o$65bo51bo$66bo$64b3o$57bo$58b2o69bo$57b2o69bo$128b3o
3$113bo12bo$111b2o13bobo$112b2o12b2o2$74bo$75b2o31bobo$74b2o32b2o9bo$
109bo8bo$95bo22b3o$95bobo$95b2o2$75bobo$76b2o$76bo5$102bo$101bo$101b3o
4$84bo$84b2o$83bobo2$95b2o$94b2o$96bo4$93b3o$93bo$94bo$76b2o$75bobo22b
2o$77bo22bobo$100bo$114b2o$88b2o19b2o2b2o$87bobo19bobo3bo$89bo19bo$95b
3o$95bo$96bo11b2o$107b2o6b3o$109bo5bo$116bo7b2o$123b2o$125bo3b3o$129bo
$130bo$56b3o7b2o$58bo8b2o53bo5bo$57bo8bo54b2o4b2o$121bobo3bobo9$124b2o
$123b2o$125bo12$27b3o$29bo$28bo$151b2o$151bobo$151bo4$150b2o$149b2o$
151bo$20bo$20b2o135bo$19bobo134b2o$156bobo$170b2o$32bo133bo3bobo$32b2o
131b2o3bo$31bobo131bobo$152b2o$151b2o$153bo10b2o$164bobo5b2o$164bo6b2o
$173bo6b2o$180bobo$180bo5b2o$185b2o$187bo$2o8b2o$b2o6bobo$o10bo165b3o
3b3o$177bo5bo$178bo5bo8$180b2o$180bobo$180bo!

Or here's one with a slightly less overweighted salvo from the SE:

x = 191, y = 194, rule = B3/S23
176bo$175bo$175b3o$11bo$12b2o$11b2o$5bo$3bobo183bo$4b2o181b2o$188b2o3$
171bo13bobo$171bobo11b2o$171b2o13bo2$22bo145bo$20bobo144bo$21b2o144b3o
9bo$177b2o$154bobo21b2o$154b2o$155bo$23bo$24bo$22b3o6$162bo$160b2o$
161b2o24$119bobo$119b2o$68bo51bo$69bo$67b3o$60bo$61b2o69bo$60b2o69bo$
131b3o3$116bo12bo$114b2o13bobo$115b2o12b2o2$77bo$78b2o31bobo$77b2o32b
2o9bo$112bo8bo$98bo22b3o$98bobo$98b2o2$78bobo$79b2o$79bo5$105bo$104bo$
104b3o4$87bo$87b2o$86bobo2$98b2o$97b2o$99bo4$96b3o$96bo$97bo$79b2o$78b
obo22b2o$80bo22bobo$103bo$117b2o$91b2o19b2o2b2o$90bobo19bobo3bo$92bo
19bo$98b3o$98bo$99bo11b2o$110b2o6b3o$112bo5bo$119bo7b2o$126b2o$128bo3b
3o$132bo$133bo$59b3o7b2o$61bo8b2o53bo5bo$60bo8bo54b2o4b2o$124bobo3bobo
8$57b2o$56bobo$58bo13$30b3o$32bo$31bo$154b2o$154bobo$154bo4$153b2o$
152b2o$154bo$23bo$23b2o135bo$22bobo134b2o$159bobo$173b2o$35bo133bo3bob
o$35b2o131b2o3bo$34bobo131bobo$155b2o$154b2o$156bo10b2o$167bobo5b2o$
167bo6b2o$176bo6b2o$183bobo$183bo5b2o$188b2o$190bo$3b2o8b2o$4b2o6bobo$
3bo10bo165b3o3b3o$180bo5bo$181bo5bo7$bo$b2o$obo!
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Re: Small Spaceship Syntheses

Postby chris_c » December 31st, 2017, 3:08 pm

I got the synthesis of that p3 ship down to 26 gliders and repeat time 201. As far as guns go, 201 is not so appealing but there is a nice Herschel factory at p204 and p210 is also small.

x = 173, y = 165, rule = B3/S23
155bobo$155b2o$156bo$9bo$7bobo6bo$8b2o4bobo$15b2o137bobo$154b2o$155bo$
165bobo$165b2o$166bo5$138bo$138bobo14bo$138b2o14bo$24bobo127b3o$25b2o$
25bo5$143bo$142bo$142b3o22$105bo$105bobo$105b2o$58bo$59b2o4bo$58b2o6b
2o$65b2o37bo$104bobo$104b2o$115bo$115bobo$115b2o5$89bo$87b2o$88b2o14bo
bo$76bo27b2o$74bobo28bo$75b2o3$83b2o$82bobo$84bo$92bobo$85b3o4b2o$85bo
7bo$86bo3$85bo$84b2o$84bobo2$75b2o$76b2o13b2o$75bo14b2o$92bo2$100b2o$
99b2o$101bo18b2o$119b2o$121bo$79b3o$81bo31b2o$80bo31b2o$114bo3b3o$118b
o$106bo12bo$57b3o7b2o36b2o$59bo8b2o35bobo9bo$58bo8bo48b2o$116bobo$77b
3o$79bo27b2o$78bo27b2o$108bo2$51b2o$52b2o$51bo10$33bo$33b2o$32bobo2$
136b2o$135b2o$137bo4$134b3o$134bo$135bo$25b2o$24bobo114b2o$26bo114bobo
$141bo2$150b2o$150bobo$150bo19b2o$170bobo$170bo$29b2o$30b2o131b2o$29bo
133bobo$163bo5b2o$168b2o$170bo$7b2o8b2o136b3o$8b2o6bobo136bo$7bo10bo
137bo9b3o$166bo$27b2o138bo$28b2o127b2o$27bo129bobo$157bo2$b2o$obo$2bo!
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Re: Small Spaceship Syntheses

Postby 2718281828 » January 9th, 2018, 11:48 am

13 gliders for the copperhead:
x = 48, y = 46, rule = B3/S23
3bo$bobo$2b2o11$28b2o$27b2o$24b2o3bo$23bobo$25bo$33b3o3b2o$35bo2b2o$
34bo5bo10$2o38bo$b2o36b2o$o38bobo2$3b2o8bo$2bobo8b2o$4bo7bobo$7b2o36b
2o$6bobo36bobo$8bo36bo$11b3o$13bo$12bo$42b3o$42bo$43bo!
but it is not suitable for a gun.
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Re: Small Spaceship Syntheses

Postby dvgrn » January 9th, 2018, 1:00 pm

2718281828 wrote:13 gliders for the copperhead...

A new record -- nice work!

2718281828 wrote:...but it is not suitable for a gun.

Sure it is. It's a valid rewindable set of three salvos, repeat time 237 --

x = 177, y = 174, rule = B3/S23
2bobo$3b2o$3bo57$63bo$61bobo$62b2o21$98b2o$97b2o$84b2o13bo$83bobo$85bo
$93b3o13b2o$95bo12b2o$94bo15bo10$60b2o48bo$61b2o46b2o$60bo48bobo2$63b
2o8bo$62bobo8b2o$64bo7bobo$67b2o46b2o$66bobo46bobo$68bo46bo$71b3o$73bo
$72bo$112b3o$112bo$113bo27$157b2o$157bobo$25bo131bo$25b2o$24bobo$34b2o
132b2o$35b2o131bobo$34bo133bo10$b2o$obo165b3o$2bo165bo$169bo$4bo$4b2o
7b3o$3bobo9bo$8bo5bo160bo$8b2o164b2o$7bobo164bobo$12b2o$13b2o$12bo$
172b2o$171b2o$173bo!

-- and any valid set of salvos is suitable for a gun.

I'll certainly admit that some salvos are more suitable than others -- but these look fairly easy. Only the triangular group of three gliders in the southwest look at all tricky to build into a gun, and even that is just a matter of building the rightmost two gliders from one side, and the remaining three from the other side.

I suppose it's not suitable for a p197 gun, since the eater synthesis can't be moved later without disturbing the two-glider domino spark synthesis on the right. But that's okay. There's fairly general agreement that the cost is more important than the repeat time, so you optimize the number of gliders first and then worry about making the recipe faster if that's possible.

This recipe may be hard to improve, unless there's some other still life or two-glider active reaction that can stand in for that eater at the top...? That search may already have been done, since the eater is in gmc_nxtman's 14-glider synthesis.

EDIT: This doesn't open up any new possibilities for a cheaper fireship synthesis, does it?
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Re: Small Spaceship Syntheses

Postby 2718281828 » January 9th, 2018, 3:44 pm

dvgrn wrote:EDIT: This doesn't open up any new possibilities for a cheaper fireship synthesis, does it?

The reduction by one glider can be applied in the same way to the fireship, but I don't see an obvious way for any further reduction.

The reduction also works with other 4-glider synthesis of the cap:
x = 47, y = 44, rule = B3/S23
2bobo$3b2o$3bo3$24bo$24b2o$23bobo2$30b2o6b3o$30bobo5bo$11b2o17bo8bo$
10bobo$12bo3$34b2o2b2o$35b2obobo$34bo3bo10$b2o$obo$2bo2$4bo$4b2o$3bobo
$8bo36bo$8b2o34b2o$7bobo34bobo$12b2o$13b2o$12bo$42b2o$41b2o$43bo!
but the repeat time is even worse.
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Re: Small Spaceship Syntheses

Postby dvgrn » January 10th, 2018, 1:47 pm

2718281828 wrote:
dvgrn wrote:EDIT: This doesn't open up any new possibilities for a cheaper fireship synthesis, does it?

The reduction by one glider can be applied in the same way to the fireship...

Meaning, a 19-glider fireship synthesis is possible?

Offhand I'm not seeing how that would work. It doesn't look as if the five-glider synthesis of the block+beehives constellation can be used with the new recipe, because the yellow glider below would have to pass through the constellation. You can't move the construction back to let the yellow glider go by first, because there's not quite enough room for the two gliders in the NE to pass through the SE salvo:

x = 107, y = 111, rule = LifeHistory
102.A.A$102.2A$103.A35$64.A$63.A$63.3A$37.A$38.A$36.3A7$62.A$61.A$61.
3A3$49.2D$49.2D2$46.2D4.2D$45.D2.D2.D2.D$46.2D4.2D6$82.A$81.2A$81.A.A
$33.2A$6.3A6.2A15.A.A23.A$8.A5.A.A17.A22.2A$7.A8.A40.A.A34.2A$94.A.A$
94.A3$7.2A62.2E$6.A.A61.2E$8.A63.E10$104.2A$104.A.A$104.A2$102.A$101.
2A$101.A.A$.A96.A$.2A94.2A$A.A94.A.A8$.2C$C.C$2.C$84.3C8.2C$84.C9.2C$
85.C10.C!

If you mirror-reflect the five gliders, everything almost works, except that the two yellow gliders below would have to pass through each other:

x = 87, y = 91, rule = LifeHistory
82.A.A$82.2A$83.A21$21.E$22.E$20.3E$56.A$55.A$55.3A7$23.A$24.A$22.3A
7$39.2D$39.2D21.A$61.2A$36.2D4.2D17.A.A$35.D2.D2.D2.D$6.3A6.2A19.2D4.
2D$8.A5.A.A$7.A8.A57.2A$74.A.A$74.A3$7.2A42.2E$6.A.A41.2E$8.A43.E4$
59.2A$27.A31.A.A$27.2A30.A$26.A.A3$84.2A$84.A.A$84.A2$82.A$81.2A$81.A
.A$.A76.A$.2A74.2A$A.A74.A.A8$.2C$C.C$2.C$64.3C8.2C$64.C9.2C$65.C10.C!

So... if by some strange fluke I'm not missing anything obvious this time ... it seems as if we'll need something like an alternate recipe for the block-and-beehives constellation -- probably six gliders. And then we still end up with a 20-glider fireship recipe and might as well just stick with the recipe we have already. (?)
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Re: Small Spaceship Syntheses

Postby chris_c » January 10th, 2018, 2:29 pm

dvgrn wrote:So... if by some strange fluke I'm not missing anything obvious this time ... it seems as if we'll need something like an alternate recipe for the block-and-beehives constellation -- probably six gliders.


Making the block and hive together with three gliders keeps us at 19 gliders in total:

x = 79, y = 83, rule = B3/S23
74bobo$74b2o$75bo25$48bo$47bo$47b3o8$54bo$53b2o$53bobo2$6b3o6b2o$8bo5b
obo$7bo8bo49b2o$66bobo$66bo3$7b2o34b2o$6bobo33b2o$8bo35bo5$22b2o$23b2o
$22bo27b2o$50bobo$50bo$15b2o59b2o$14bobo59bobo$16bo59bo$50b2o$50bobo
21bo$50bo22b2o$73bobo$bo68bo$b2o66b2o$obo66bobo8$b2o$obo$2bo$56b3o8b2o
$56bo9b2o$57bo10bo!
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Re: Small Spaceship Syntheses

Postby simeks » January 10th, 2018, 3:47 pm

chris_c wrote:Making the block and hive together with three gliders keeps us at 19 gliders in total:

You can build the block and the two hives with 4 gliders for a total of 18:

x = 79, y = 83, rule = LifeHistory
74.A.A$74.2A$75.A22$49.E$48.E$48.3E8$22.E$20.E.E$21.2E$54.A$53.2A$53.
A.A2$6.3A6.2A$8.A5.A.A$7.A8.A49.2A$66.A.A$66.A3$7.2A34.2A$6.A.A33.2A$
8.A35.A6$52.3E$25.2E25.E$26.2E25.E$25.E$76.2A$76.A.A$76.A2$74.A$73.2A
$73.A.A$.A68.A$.2A66.2A$A.A66.A.A8$.2A$A.A$2.A$56.3A8.2A$56.A9.2A$57.
A10.A!

EDIT: A two-sided solution that might help with further improvements:

x = 79, y = 83, rule = LifeHistory
74.A.A$74.2A$75.A35$54.A$53.2A$53.A.A2$6.3A6.2A$8.A5.A.A$7.A8.A49.2A$
66.A.A$66.A3$7.2A34.2A$6.A.A33.2A4.2E$8.A35.A2.2E$49.E2$27.3E$29.E$
28.E$45.2E$44.2E$46.E$27.2E$26.E.E47.2A$28.E47.A.A$76.A2$74.A$73.2A$
73.A.A$.A68.A$.2A66.2A$A.A66.A.A8$.2A$A.A$2.A$56.3A8.2A$56.A9.2A$57.A
10.A!
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Re: Small Spaceship Syntheses

Postby dvgrn » January 10th, 2018, 5:07 pm

chris_c wrote:
dvgrn wrote:So... if by some strange fluke I'm not missing anything obvious this time ... it seems as if we'll need something like an alternate recipe for the block-and-beehives constellation -- probably six gliders.

Making the block and hive together with three gliders keeps us at 19 gliders in total...

simeks wrote:You can build the block and the two hives with 4 gliders for a total of 18...

Aha, nice! As usual, the only thing better than being proven wrong is, um, being proven wrong twice.

The 19-glider recipe also happens to be two gliders closer to a two-salvo recipe. Probably that's not something anybody else cares much about, but I always liked the way these things looked. I guess it's the same 21-glider cost with the new 18-glider recipe, just with one more kickback.

Code: Select all
x = 200, y = 56, rule = B3/S23
195b2o$194b2o$196bo2$44b2o$43bobo$45bo4$168b2o5b2o$168bobo4bobo$168bo
6bo$7bo$7b2o6b2o18bo$6bobo7b2o17b2o$15bo18bobo151b2o$187b2o$189bo3$7b
2o155b3o$8b2o154bo$7bo157bo5$22b3o$24bo$23bo148b2o$171b2o$173bo$15b2o
181b2o$16b2o179b2o$15bo183bo$172b2o$171b2o22b2o$173bo21bobo$195bo$b2o
188b2o$obo188bobo$2bo188bo8$b2o$2b2o$bo177bo$178b2o8b3o$178bobo7bo$
189bo!
#C [[ AUTOSTART PAUSE 2 Y -50 THUMBNAIL THUMBSIZE 2 LOOP 800 ]]
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Re: Small Spaceship Syntheses

Postby Kazyan » January 10th, 2018, 5:13 pm

I figure it's worth noting that, on each side, the minimal 3 gliders are being used to make a domino spark. If repeat time is ever in question, however, there's probably a good way to insert that spark with Herschel conduits directly, saving four gun engines.
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Re: Small Spaceship Syntheses

Postby chris_c » January 10th, 2018, 7:47 pm

Kazyan wrote:I figure it's worth noting that, on each side, the minimal 3 gliders are being used to make a domino spark. If repeat time is ever in question, however, there's probably a good way to insert that spark with Herschel conduits directly, saving four gun engines.


Going a small distance along that route, here is a Fireship in 15G + 2B:

x = 82, y = 53, rule = B3/S23
2o78b2o$obo76bobo$2bo76bo$2b2o74b2o4$51b2o$51bobo$bo3b2o44bo23b2o3bo$b
2o2b2o12bo55b2o2b2o$2b2o15b2o6b2o49b2o$b2o15bobo7b2o49b2o$27bo36b2o$
63b2o$65bo9$51b2o$50b2o$52bo2$34b3o$36bo$8b2o25bo36b2o$7bobo38b2o22bob
o$9bo37b2o23bo$49bo$34b2o$33bobo$35bo$13b2o52b2o$12bobo52bobo$14bo52bo
8$13b2o$14b2o$13bo41bo$54b2o8b3o$54bobo7bo$65bo!


(Oooh, and just two salvos. I think dvgrn will like)
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Re: Small Spaceship Syntheses

Postby Entity Valkyrie » January 10th, 2018, 9:24 pm

Hi! This is Entity Valkyrie. I made a gun based on the synthesis of the 2-engine Cordership with a nice transparent boat:

x = 615, y = 366, rule = B3/S23
606bo$604b3o$603bo$430b2o122bo48b2o$430b2o122b3o$557bo42b2o$556b2o43b
2o$433b2o71b2o92bo$433b2o71b2o$559b3o44b2o5b2o$430b2o127bo46b2o5b2o$
421b2o7b2o77b2o49bo$422bo31b3o52b2o35b2o5b2o54b2o$422bobo28b2obo89b2o
5b2o54b2o$423b2o27bo2b2o49b2o$451b6o3bo36b2o7b2o26b2o14b2o$452bo2b2o2b
obo36bo34b4o13b2o$453b3o3b2o37bob2o30b2ob3o$499bo31b3o3bo48b3o4b2o$
431bo2bo18b3o3b2o42bo25bobo5b3o43bob2obo3bo2bo$429b4o19bo2b2o2bobo39bo
26bob2ob3obo44bo9bo2b2o$435bo15b6o3bo41bo26b2o3b2o36b2o8bo3bo4bo2b2o$
429b2o2b2o17bo2b2o109b3o3bobo8b4o4b4o$453b2obo72b2o3b2o30bo7bo2b2o$
433b2o19b3o59b3o9bob2ob3obo28bobo4b2o2b2o$434b2o79bo2bo10bobo5b3o27b2o
$430bo2b2o80bo3bo11b3o3bo$441b2o71b2o2bo13b2ob3o$441b2o73bo16b4o$517b
2o15b2o$438b2o77b3o$438b2o77b3o77bo3bo$596bobobobo$515bo81b2ob2o$441b
2o71bo40bo3bo3bo3bo$441b2o71b2o39bo2bobobobo2bo$559b2ob2o29b2o9b2o$
461b2o117bo12bob4ob4obo$461bo55b2o37bo2b2ob2o2bo12bo14bo3bobo3bo$444b
2o16b3o52b2o18bo17bobo7bobo13bo12bo3bobo3bo$351b2o91b2o18bo71b2o18b2ob
2ob2ob2o10b2ob2o13b3o3b3o$351b2o182bob2o17b2o2bobo2b2o9b2obo$558bobobo
bo13bo$441b2o77b2o16b3o18bo3bo$354b2o85b2o76bo2bo16bo$354b2o166bo15bo$
444b2o73bo2bo$67bo283b2o80bobo8b2o72b2ob2o$67b3o272b2o7b2o21bo2bo55bo
2bo81bo$70bo272bo29bo4bo53bo3b2o80b2o$69b2o48bo223bobo27bo5bo52bo25b2o
$117b3o224b2o30b2ob2o76bo2bo$116bo256bo7bo50bo2b3o18bo2bo61b2o$116b2o
255bobob3o2bo49b2o22bo6bo55b2obo$166b2o206b2obob3o52b3o18bo2bo3bobo53b
o3bo13b2o$166b2o266b3o19b3o3b2o54bo2b2o13bob2o$59b2o5bo307b2obob3o137b
3o15bo2bo$59b2o4b3o305bobob3o2bo73b3o3b2o56bo11bo4bo2bo$65bo2b2o94b2o
186b3o18bo7bo73bo2bo3bobo17b2o47bobo3bo2bo$68b2o50bo5b2o35bo3bo184bo
23b2ob2o75bo6bo18bo49b2o3b3o$65b2obo52bo4b2o31bo7bo183b3o19bo5bo46b2o
28bo2bo23b3o$65b4o51bo37bo4bo4bo204bo4bo46bobo29bo2bo24bo19bobo24b2o3b
3o18b2o$67b2obo47b2o18b2o19b2o3bo3bo6b2o192bobo2bo2bo47bo32b2o45b2o24b
obo3bo2bo16bobo$64bob4o46b3o18b4o24bobo7bo194b2o52b2o7b2o71bo25bo4bo2b
o16bo$64bobo19b2o28bo3bo15b3ob2o24bo6bobo186b2o6bo62b2o67b2o33bo2bo15b
2o$65bo20b2o29b4o15bo3b3o30b2o187b2o137bobo32bob2o$121bo12b3o5bobo291b
2o63bo34b2o$74bo8b2o5b2o7b2o19b2o14bob3ob2obo213b2o75b2o62b2o7b2o$75b
2o6b2o5b2o7b2o19b2o16b2o3b2o214b2o148b2o$74b2o36bo41bo$95b2o5b2o7bo26b
2o3b2o8bo279b2o77b2o$95b2o5b2o7b3o22bob3ob2obo7b3o206b2o69b2o77b2o$
134b3o5bobo217b2o$136bo3b3o$136b3ob2o240b2o125b2o$137b4o241bo126b2o$
138b2o225b2o16b3o$365b2o18bo78b2o13bo3bo$72bo3bo78b2o307bo13bobobobo$
71bobobobo77b2o305bobo14b2ob2o$72b2ob2o285b2o77bo3bo16b2o$106bo3bo3bo
3bo39b2o202b2o76bobobobo$106bo2bobobobo2bo39b2o279bo2bobo2bo27b5o3b5o$
68b2o9b2o29b2ob2o250b2o71b2ob2ob2ob2o26bob4ob4obo$68bob4ob4obo284b2o
70bo3bo3bo3bo25b2obobobobob2o$69bo3bobo3bo27bo2b2ob2o2bo37b2o215b2o62b
o2bob2ob2obo2bo25bobobobobobo$69bo3bobo3bo26bobo7bobo36b2o214bobo65bo
7bo29b3o3b3o$70b3o3b3o28b2ob2ob2ob2o255bo4b3o60b2ob2o32bo5bo$107b2o2bo
bo2b2o237bo21b2obo55bo5bobo5bo$109bobobobo238b3o19bo2b2o56b2ob2o3b2ob
2o$110bo3bo37b2o200b3o18b6o3bo$152b2o222bo2b2o2bobo$354b4o19b3o3b2o$
353b5o$155b2o196b2obo20b3o3b2o$155b2o219bo2b2o2bobo17b2o$375b6o3bo18bo
60b2o5b2o$104bo47b2o193b2o27bo2b2o23b3o57b2o5b2o$105b2o45b2o192bobo28b
2obo25bo$104b2o18bo221bo31b3o71b2o5b2o7b2o$123bo221b2o7b2o96b2o5b2o7b
2o64bo$123b3o10b2o216b2o176b3o$134b2obo317b2o74bo$133bo2bo220b2o96b2o
17bo3bo52b2o$94b2o37bo2bo4bo215b2o114b3obo2bo10b2o$94b2o37bo2bo3bobo9b
o296b2o22bobobo13b2o$134b3o3b2o9b2o294b3ob2o26bo$151bobo200b2o76b2o13b
obob2o26b2o7b2o5b2o$134b3o3b2o212b2o76b2o11b2obo24bo3bobo8b2o5b2o$133b
o2bo3bobo334bobo$133bo2bo4bo286b2o5b2o7bo$133bo2bo21bo11b2o256b2o5b2o$
134b2obo19bo3b2o7bobo353b2o3b2o$136b2o19b6o9bo$79b2o76b3o3bo8b2o211b2o
13bo3bo80b2o40bo3bo$79b2o75b2ob2o2b2o220bo13bobobobo79bo42b3o$155bo3b
2ob2o219bobo12bo2bobo2bo79b3o39b3o$156b2o203b2o3b2o15b2o12b2ob2ob2ob2o
30b2o48bo$360b2obobob2o27bo3bo3bo3bo30bo$359b3obobob3o25bo2bob2ob2obo
2bo26b3o79b2o$358bo3b2ob2o3bo27bo7bo29bo81b2o11b2o$163b2o193bo11bo29b
2ob2o126bo$163b2o194bo9bo25bo5bobo5bo122b3o$148b2o19b2o225b2ob2o3b2ob
2o125bo$149bo19bo192b2ob2o$15bo83b2o48bobo10bo4bobo191bobobobo26b2o$
15b3o81bo50b2o9b4ob3o193bo3bo2b2o22b2o$18bo81b3o57b2obob2o228bo$17b2o
48bo34bo56b3obo2bo203b2o$65b3o92b2obobo204b2o161b2o$64bo96b4o368b2o$
64b2o96bo2$385b2o5b2o$7b2o5b2o369b2o5b2o$7b2o5b2o$25b2o53b2o291b2o5b2o
7b2o$11b2o12b3o30b2o7b2o5b2o5bo291b2o5b2o7b2o$11b2o12bo4b2o35b2o5b2o2b
3o$27b2o2bo25bobo18bo297b2o$29b2o24bo14b2o304b2o135b2o83bo$29bo21b2obo
b2o12b2o340b2o100bo81b3o$34b2o16bob2o35b2o306bo12b2o97b3o81bo$34b2o17b
o37b2o304bobo111bo34bo48b2o$353b2o42b3o9b2o5b2o128b3o$31b2o5b2o7b2o49b
ob2o86bo164b2o11b4o27bo11b2o5b2o131bo$31b2o5b2o7b2o49b2obo84b3o181bo
177b2o$185bo163b2o5b2o8bo4bo$43b2o5b2o133b2o162b2o5b2o9b2obo$43b2o5b2o
317bo229bo5b2o$182b2o414b3o4b2o$181bobo222b2o124b2o62b2o2bo$110b2o71bo
181bo3b2o35bo125bo5b2o5bo50b2o$110bo238bo14bobo3bo36b3o123b3o2b2o4bo
52bob2o$101b2o5bobo238b3o5b2o4bobo3bo39bo125bo9bo51b4o$101b2o5b2o242bo
4bo5bo4bo177b2o47bob2o$20bo3bo73b2o211bo39bo3bobo4b2o5b3o175b3o46b4obo
$18b2obobob2o6bobo61b3o211b3o36bo3bobo14bo149b2o22bo3bo28b2o19bobo$17b
o3bobo3bo6b2o62b2o214bo35b2o3bo165b2o22b4o29b2o20bo$16bo3b2ob2o3bo5bo
13bo9bo3bo38b2o210b2o229bo$16bobo7bobo19bobo6bobobobo37b2o160b2o247b2o
bo28b2o19b2o7b2o5b2o8bo$17bo9bo20b2o8b2ob2o200b2o93bobo151bob2o28b2o
19b2o7b2o5b2o6b2o$56b3o3b3o288b3o7b2o5b2o181bo36b2o$20b2ob2o30b2o7b2o
87b2o198bo2b2o4bobo5b2o182bo7b2o5b2o$19bobobobo28b3obo3bob3o27bo58b2o
111b2o43bo3b3o35b2ob4o192b3o7b2o5b2o$20bo3bo16b2o10b2o3b2ob2o3b2o25b3o
170b2o35b2o5bobo2b5o35b3o8b2o$41bobo9b3o2b2ob2o2b3o25b3o207b2o5bo8b2o
45b2o$43bo10b2o9b2o83b2o111b2o46b3o4b2o165bo16b2o$43b2o10b4o3b4o25b2o
3b2o52b2o102b2o7b2o42b2o4b2o3bo164b3o17bo$57bo5bo27b2o3b2o157bo32b2o
17b2o173bo20bobo7b2o$57bo5bo89b2o100bobo28b2obo53b2o137b2o20b2o5bo2bo$
153b2o101b2o27bo2bo54b2o165bo7b2o67b3o3b3o$127bo3b2o152bo2bo4bo216bo6b
o2bo65bo3bobo3bo$125b2obo156bo2bo3bobo35b2o7b2o5b2o132bo29bo6bo2bo65bo
3bobo3bo$12b2o92b2o17b3o135bo22b3o3b2o36b2o7b2o5b2o131b3o29bo2bo5bo30b
o3bo29bob4ob4obo$12b2o77b2o13bo17bo6bo130b5o211bo3bo30b2o5bo29bobobobo
28b2o9b2o$92bo11bobo16bo2bobobobo134bo18b3o3b2o33b2o5b2o141bob3obo34bo
bo27b2o2bobo2b2o$89b3o12b2o18b3obob2o153bo2bo3bobo32b2o5b2o142b5o35bob
o27b2ob2ob2ob2o$15b2o72bo172bo3bo18bo2bo4bo56bo168bo27bobo7bobo29b2ob
2o$15b2o107b3obob2o131b3o19bo2bo60bo198bo2b2ob2o2bo29bobobobo$123bo2bo
bobobo19b2o132b2obo59b3o219b2o16bo3bo$12b2o110bo6bo19bobo126bobo5b2o
32bobo191b2o3b2o28b2ob2o14bobo$3b2o7b2o111b3o25bo127b2o40b2o191bo5bo
24bo2bobobobo2bo10bo$4bo34b2o84b2obo152bo41bo223bo3bo3bo3bo9b2o$4bobo
32bob2o21bo62bo3b2o15b2o124b2o78bo3bo158bo3bo$5b2o33bo2bo18b3o82b2o2bo
122b2o77bobobobo158b3o$35bo4bo2bo17bo84bo4bo199b2o2bobo2b2o$34bobo3bo
2bo17b2o79b2o2b4obo119b2o43bo3bo30b2ob2ob2ob2o120b2o$35b2o3b3o99b2o3bo
2b2o119b2o42bobobobo28bobo7bobo119bo$14bo131b5o165b2ob2o30bo2b2ob2o2bo
121b3o114b2o$15bo19b2o3b3o102b3obo335bo35b2o77b2o$12bob3o17bobo3bo2bo
84bo16b2o127b2o37b3o5b3o30b2ob2o162bo$11b2o2b2o18bo4bo2bo84bobo143b2o
36bo4bobo4bo25bo2bobobobo2bo159b3o$11b2o2b2o23bo2bo84b2o181bo5bobo5bo
10b2o12bo3bo3bo3bo161bo71bobo$39bob2o99b2o150b2o16bo4bobo4bo10bobo255b
2o$15b2o22b2o59bo3bo37b2o150bo17b2o3bobo3b2o10bo256bo5bo$11bo4bo82bobo
bobo171b2o16b3o36b2o256bo7b2o$11bo4bo83b2ob2o172b2o18bo16b3o3b3o250bo
17b2ob2obo2b2o7b2o$13bobo7b2o37bo3bo504b2obo16b2obo2bo11bo$23b2o8bobo
25bobobobo29b3o5b3o37b2o361b2o39bo21bo3bo17b4o10bobo$34b2o23b2o2bobo2b
2o19bo6bo4bobo4bo22bo13b2o127b2o232b2o39b3o17bo5bo18b3o10b2o$20b2o12bo
24b2ob2ob2ob2o18b2o5bo5bobo5bo20b2o142b2o276bo16bo5bo2bo$20b2o36bobo7b
obo17bobo5bo4bobo4bo21bobo418b2o16bo7bobo11bo$59bo2b2ob2o2bo7b3o16b2o
3bobo3b2o168b2o292b4o2b2o10b2o$79bo197b2o311b2o$23b2o18bo18b2ob2o11bo
19b3o3b3o39bo6b2o416b4o2b2o$23b2o16b3o14bo2bobobobo2bo74bobo3bobo129b
2o284bo7bobo$40bo17bo3bo3bo3bo74bobo2b2o130bobo7bo3b2o271bo5bo2bo$40b
2o107bobo132bo5b2obo275bo5bo$149b2o3bo135b3o230b2o46bo3bo$20b2o107b2o
19bo115b3o20bo6bo226b2o46b2obo$20b2o105b2obo135bobo19bo2bobobobo275bo$
126bo2bo136bo2bo19b3obob2o$126bo2bo4bo20bobo109b3o319b2o$17b2o66b2o5b
2o32bo2bo3bobo20b2o109b3o19b3obob2o18b2o272b2o$17b2o12b3o51b2o5b2o33b
3o3b2o21bo108bo2bo19bo2bobobobo16bobo$33bo234bo20bo6bo17bo277b2o$20b2o
10bo40b2o5b2o7b2o36b3o3b2o89bo34b2o4bo24b3o20b2o277b2o$13bo6b2o51b2o5b
2o7b2o35bo2bo3bobo89b2o31bobo29b2obo107bo$13b2o79b2o30bo2bo4bo89b2o32b
o8bo24bo3b2o101b2o$15bo21b2o37b2o14b2obo30bo2bo33b2o92b2o7bo133b2o101b
2o65bo18b2o$13b2o21b4o32b2ob3o14bo34b2obo32bobo100b2o236bo65b3o16b2o$
12bobo20b2ob3o30bob4o15bobo17b2o15b2o34bo335b3o69bo$13bo20b3o3bo29b2ob
obo17b2o2bobo12b2o42b2o7b2o102b2o230bo70b2o$11bobo18bobo5b3o27bo2bob2o
21b2o56b2o111b2o$9bo21bob2ob3obo12b2o19b2o22bo10b2o5b2o474b2o$9bobo20b
2o3b2o14b2o12bo3b4o34b2o5b2o35b2o437b2o$66bo86b2o111b2o$32b2o3b2o10b2o
5b2o8b3o197b2o$31bob2ob3obo8b2o5b2o537b2o$32bobo5b3o113b2o437b2o$2b2o
30b3o3bo115b2o364b2o$bobo31b2ob3o65b2o414bo69b2o$bo34b4o66bo416b3o66b
2o$2o7b2o26b2o68b3o415bo$9b2o48b2o48bo$60bo197bobo312b2o3bo$12b2o43b3o
199b2o250b2o64bob2o$12b2o43bo201bo251b2o65b3o$217bo174bo181bo6bo$215b
3o172b2o110b2obo67bobobobo2bo$9b2o203bo176b2o109bob2o68b2obob3o10b2o$
9b2o154bo48b2o376bobo$165b3o406b2obob3o10bo$168bo404bobobobo2bo$167b2o
405bo6bo$117b2o459b3o18b2o9b2o$117b2o373b2o83bob2o17bobo9bobo$208b2o7b
2o5b2o267bo79b2o3bo19bob2o10bo$217b2o5b2o267bobo5b2o95bo2bo10b2o$120b
2o53b2o2b2o26bobo284b2o5b3o91b2ob2o2bobo$120b2o35b2o5b2o8b3o28bo14b2o
281b2obo88b3o5bo$157b2o5b2o15bo19b2obob2o12b2o281bo2bo$117b2o53bobo27b
ob2o297b2obo$108b2o7b2o42b2o10b4obo2bo21bo297b3o$109bo34b2o15b2o11b3ob
3o71bo248b2o$109bobo31bo2bo50b2o54b2o348b2o$110b2o32bo2bo49b2o53b2o
349b2o$140bo6bo$139bobo3bo2bo35b2o7b2o5b2o169bobo134b3o$140b2o3b3o36b
2o7b2o5b2o169b2o$372bo135bobo$140b2o3b3o33b2o5b2o317b5o$139bobo3bo2bo
32b2o5b2o316b2o3b2o$119b3o18bo6bo358b2o3b2o$119b2o23bo2bo$120bobo20bo
2bo$122bo21b2o$123b2o82bo5bo279b2o$121bobo83bo5bo279b2o$121b2o5b2o75b
4o3b4o295b2o$128b2o74b2o9b2o294bo$203b3o2b2ob2o2b3o278b2o14b3o$125b2o
41b3o3b3o26b2o3b2ob2o3b2o157bo120b2o16bo$125b2o40bo3bobo3bo26b3obo3bob
3o158bobo$167bo3bobo3bo27b2o7b2o159b2o116b2o$166bob4ob4obo27b3o3b3o
269b2o7b2o5b2o19bo$128b2o36b2o9b2o29b2ob2o272bo13bobo18bob2o$128b2o77b
obobobo271bobo10b2o19bo3bo$190b2o16bo3bo273b2o12bo18bo5bo14b2o$148b2o
20b2ob2o14bobo308bobo13bo2bo5bo15bo$148bo20bobobobo13bo312b2o11bobo7bo
15bobo$131b2o16b3o18bo3bo13b2o311b3o12b2o2b4o18b2o$131b2o18bo$516b2o2b
4o$515bobo7bo$128b2o386bo2bo5bo$128b2o389bo5bo$519bo3bo$131b2o387bob2o
$124bo6b2o388bo$124b2o$126bo17b2o358b2o$124b2o17b4o357b2o$123bobo16b3o
b2o$124bo17bo3b3o352b2o$122bobo15b3o5bobo350b2o$120bo21bob3ob2obo$120b
obo21b2o3b2o$504b2o18bo$144b2o3b2o353b2o16b3o17b2o3b2o12b2o$142bob3ob
2obo369bo19b2obobob2o12bo$140b3o5bobo370b2o17b3obobob3o11bobo14b3o3b3o
$113b2o27bo3b3o390bo3b2ob2o3bo11b2o$112bobo27b3ob2o353b2o36bo11bo25b2o
3bobo3b2o$112bo30b4o248bo105b2o37bo9bo26bo4bobo4bo$111b2o7b2o22b2o248b
o181bo5bobo5bo$120b2o272b3o146b2ob2o29bo4bobo4bo$498b2o42bobobobo29b3o
5b3o$123b2o373b2o43bo3bo$123b2o456b2ob2o$501b2o77bobobobo$501b2o78bo3b
o$120b2o172bo$120b2o171bobo$293b2o221bo3b2o$514b2obo$514b3o$513bo6bo$
512bo2bobobobo23b2o7b2o5b2o$513b3obob2o33b2o5b2o$544bobo$499b2o12b3obo
b2o21bo14b2o7b2o5b2o$498bobo11bo2bobobobo16b2obob2o12b2o7b2o5b2o$500bo
12bo6bo18bob2o41b2o$483b2o11bo17b3o23bo29b2o12b3o$482bobo10bo18b2obo
52b2o12bo4b2o$482bo12bo2b2o16bo3b2o12b2o50b2o2bo$132b2o71b4o272b2o7b2o
4b3o35b2o52b2o$132bobo69bo3bo281b2o5bo90bo$127b2o4b3o72bo321b2o5b2o54b
2o$123b4o2bo4b3o67bo2bo285b2o35b2o5b2o54b2o$123b3ob2o4b3o357b2o$132bob
o455b2o5b2o$132b2o456b2o5b2o$490b2o$490b2o$540b2o$541bo$538b3o$282bo2b
o252bo48b2o$139bo39b2o105bo300bo$138b3o31b3o4b2o101bo3bo301b3o$137b5o
29b5o6b2o99b4o303bo$136b2o3b2o27bobo3bo5b3o$137b5o28b2o3bo6b2o$137bo3b
o37b2o$138bobo38b2o$137b3o$136b2o$137bo$134b3o$134bo$186bo$185b3o$184b
5o$183b2o3b2o3$187bo$187bo2$183b2o$184bo$181b3o$181bo!
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Re: Small Spaceship Syntheses

Postby dvgrn » January 10th, 2018, 9:44 pm

chris_c wrote:Going a small distance along that route, here is a Fireship in 15G + 2B:
...
(Oooh, and just two salvos. I think dvgrn will like)

Well, I'm easily impressed by spaceship syntheses. While I'm wishing for horses, I'd also like to expand the block-and-beehives plus maybe eater-at-the-top constellation to make an N-glider seed for a copperhead or fireship. With N as small as possible but I'm not too picky.
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Re: Small Spaceship Syntheses

Postby 2718281828 » January 15th, 2018, 3:59 pm

x66 with 12 gliders:
x = 64, y = 39, rule = B3/S23
48bo$49bo$47b3o4$46bobo$47b2o$47bo$56bo$56bobo4bo$56b2o3b2o$62b2o2$3bo
bo$4b2o$4bo16b2o17b2o$9bo11b2o17b2o$b2o4b2o$obo5b2o$2bo18b2o17b2o2bo$
21b2o17b2o2bobo$44b2o4$62b2o$56b2o3b2o$56bobo4bo$56bo$47bo$47b2o$46bob
o4$47b3o$49bo$48bo!
The repeat time might be improved be choosing another 3glider option for the 2 blocks.
And together:
x = 33, y = 43, rule = B3/S23
12bo$10bobo$11b2o3$10bo$11b2o$10b2o$25bo$24bo$24b3o3bobo$30b2o$31bo4$
3bobo$4b2o$4bo$9bo3bo$b2o4b2o3bo$obo5b2o2b3o$2bo8$31bo$30b2o$24b3o3bob
o$24bo$25bo$10b2o$11b2o$10bo3$11b2o$10bobo$12bo!
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Re: Small Spaceship Syntheses

Postby HartmutHolzwart » January 17th, 2018, 4:20 am

x66 with 12 gliders:


That was what I always imagined when I first stumbled upon the x66. Very nice!
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Re: Small Spaceship Syntheses

Postby AbhpzTa » January 26th, 2018, 5:12 pm

chris_c wrote:I got the synthesis of that p3 ship down to 26 gliders and repeat time 201. As far as guns go, 201 is not so appealing but there is a nice Herschel factory at p204 and p210 is also small.

x = 173, y = 165, rule = B3/S23
155bobo$155b2o$156bo$9bo$7bobo6bo$8b2o4bobo$15b2o137bobo$154b2o$155bo$
165bobo$165b2o$166bo5$138bo$138bobo14bo$138b2o14bo$24bobo127b3o$25b2o$
25bo5$143bo$142bo$142b3o22$105bo$105bobo$105b2o$58bo$59b2o4bo$58b2o6b
2o$65b2o37bo$104bobo$104b2o$115bo$115bobo$115b2o5$89bo$87b2o$88b2o14bo
bo$76bo27b2o$74bobo28bo$75b2o3$83b2o$82bobo$84bo$92bobo$85b3o4b2o$85bo
7bo$86bo3$85bo$84b2o$84bobo2$75b2o$76b2o13b2o$75bo14b2o$92bo2$100b2o$
99b2o$101bo18b2o$119b2o$121bo$79b3o$81bo31b2o$80bo31b2o$114bo3b3o$118b
o$106bo12bo$57b3o7b2o36b2o$59bo8b2o35bobo9bo$58bo8bo48b2o$116bobo$77b
3o$79bo27b2o$78bo27b2o$108bo2$51b2o$52b2o$51bo10$33bo$33b2o$32bobo2$
136b2o$135b2o$137bo4$134b3o$134bo$135bo$25b2o$24bobo114b2o$26bo114bobo
$141bo2$150b2o$150bobo$150bo19b2o$170bobo$170bo$29b2o$30b2o131b2o$29bo
133bobo$163bo5b2o$168b2o$170bo$7b2o8b2o136b3o$8b2o6bobo136bo$7bo10bo
137bo9b3o$166bo$27b2o138bo$28b2o127b2o$27bo129bobo$157bo2$b2o$obo$2bo!


2 more gliders, but repeat time 184:
x = 163, y = 158, rule = B3/S23
17bobo$18b2o126bo$18bo127bobo$146b2o$7bo$8b2o4bo$7b2o6b2o$14b2o129bo$
145bobo$145b2o$156bo$156bobo$156b2o4$132bo$29bo101bo$30bo100b3o$28b3o
114bobo$25bo119b2o$23bobo120bo$24b2o6$133bobo$133b2o$134bo16$63bobo$
64b2o34bo$64bo35bobo$100b2o$53bo$54b2o4bo$53b2o6b2o$60b2o37bo$99bobo$
99b2o$110bo$110bobo$110b2o4$86bo$75bo9bo$76bo8b3o$74b3o22bobo$71bo27b
2o$69bobo28bo$70b2o3$78b2o$77bobo$79bo$87bobo$80b3o4b2o$80bo7bo$81bo3$
80bo$79b2o$79bobo2$70b2o$71b2o13b2o$70bo14b2o$87bo2$95b2o$94b2o$96bo
18b2o$114b2o$116bo$74b3o$76bo31b2o$75bo31b2o$109bo3b3o$113bo$101bo12bo
$52b3o7b2o36b2o$54bo8b2o35bobo9bo$53bo8bo48b2o$111bobo$72b3o$74bo27b2o
$73bo27b2o$103bo2$46b2o$47b2o$46bo6$32b2o$31bobo$33bo2$126b3o$126bo$
127bo3$126bo$125b2o$125bobo2$24b2o$25b2o105b2o$24bo106b2o$133bo2$141b
2o$140b2o$142bo18b2o$160b2o$162bo$28b3o$30bo123b2o$29bo123b2o$155bo3b
3o$159bo$147bo12bo$6b3o7b2o128b2o$8bo8b2o127bobo9bo$7bo8bo140b2o$157bo
bo$26b3o$28bo119b2o$27bo119b2o$149bo2$2o$b2o$o!
Iteration of sigma(n)+tau(n)-n [sigma(n)+tau(n)-n : OEIS A163163] (e.g. 16,20,28,34,24,44,46,30,50,49,11,3,3, ...) :
965808 is period 336 (max = 207085118608).
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Re: Small Spaceship Syntheses

Postby Goldtiger997 » February 3rd, 2018, 10:20 pm

In 2015 (link here)
Kazyan wrote:Here's some ideas for hacking together the third smallest c/4 diagonal ship:

x = 51, y = 24, rule = B3/S23
27bo$25b5o$24b7o$24b7o$27b2o$7b2o$7bobo18bo3bobo$7bo19b2o3bobo$10bo11b
2o4b2o2bobo$9bobo9b3o4bo$9bobo9b2o$9bo12bo4bo$2o7bo9bo7bo$obo3b4o9bo7b
o3bo$o3bo14bo3b2o6bo11b2o$3b2o4bo12bo2bo5b2o9bo2bo$3bo3bo10b2o3b2ob4o
13b2obo$25bo4bo14bobo2bo$23b2o5bo12b2o2bob2o$22bo2b5o12bo2b2o$22b2o18b
2o$19b2o$18bobo$20bo!


Obviously there's not enough room for everything to fit, but I find that the key to this sort of glider synthesis is to rejigger things over and over again until they do fit.


I had a go at this myself, but the most difficult part seems to be inserting the glider + Z tetronimo. Is anyone else able to complete this synthesis (or get close to), or would a different approach be in order?
Things to work on:
  • Work on the snowflakes orthogonoid
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Re: Small Spaceship Syntheses

Postby Entity Valkyrie » March 16th, 2018, 11:19 pm

Hi! It is Entity Valkyrie! I made a 663x515 Fireship Gun!

x = 663, y = 515, rule = B3/S23
153bo$153b3o$156bo$155b2o4$457bo$455b3o$155b2o3b2o292bo$155b2o3b2o292b
2o$156b5o32b2o$157bobo33bo$179bo11bobo$157b3o17bo2bo10b2o$165b2o10b5o$
142b2o21b2o10b3ob2o$143bo34b2obo267b2o3b2o$143bobo7bo25b2o235b2o32b5o$
144b2o7bobo261bo32b2ob2o$156b2o11b2o8b2o236bobo30b2ob2o$156b2o9bob3o6b
2obo236b2o9b2o20b3o$156b2o7b3o4bo4b3ob2o245bo2bo12b2o$153bobo11bob3o5b
5o239b2o5bo2b2o11b2o21b2o$153bo15b2o6bo2bo10b2o228bobo4bo2bo35bo$179bo
11bobo227b3o6bo24bo9bobo$193bo260bobo8b2o$193b2o226b3o6bo22bob2o$421bo
bo4bo2bo20b2ob2o$421b2o5bo2b2o20bob2o$428bo2bo22bobo$418b2o9b2o24bo$
417bobo$417bo$416b2o11$358bo$358b3o$361bo$360b2o$361b3o$362bobo$361bo
3bo$361b5o$360b2o3b2o$361b5o$362b3o$363bo34b2o$398bo$387b2o7bobo$386b
5o5b2o$370b2o14bo4bo$347b2o21b2o14b3o2bo$348bo38bo2b2o$348bobo5b2o30b
2o$349b2o5bobo13bo3bo$357b3o10b2obobob2o9b2o$196b2o160b3o8bob2o3b2obo
7bo2b2o$196b2o159b3o8bo2bo5bo2bo5b3o2bo$356bobo10bob2o3b2obo6bo4bo$
356b2o12b2obobob2o7b5o5b2o$372bo3bo10b2o7bobo16b2o$398bo16b2o$398b2o4$
181b2o$181b2o3$430b2o$430b2o6$201b2o$184b2o15bo$184b2o16b3o$204bo$410b
2o$183bo216bo10bo15b2o$182bobo213b3o7b3o16b2o$183bo213bo10bo$180b3o
214b2o$180bo248bo$428bobo$429bo$167bo15bo246b3o$167b3o11b3o211bo36bo$
170bo9bo213b3o$169b2o9b2o212b3o$173bo3bo251bo15bo$172bobobobo213b2o3b
2o30b3o11b3o$172bo5bo14bo198b2o3b2o33bo9bo$173b2ob2o13b2obo236b2o9b2o$
191b2obo5bob2o$192b2o6b2obo214b2o$418b2o$172bo5bo$171b2o5b2o217b2o10b
2obo$170bob2o3b2obo216bo11bob2o$170bob2o3b2obo217b3o$171b3o3b3o220bo$
171b3o3b3o$203b2o$203b2o$200b2o218bo12b2o5b2o$199b3o217b3o10bo2bo3bo2b
o$200b2o206bobo7bo2b2o10bo2bobo2bo$203b2o5b2o196bo2bo6b4o14bobo$203b2o
5bobo198b2o8bobo10b3ob3o$212bo196bo3b2o6bo2bo7b3o5b3o$212b2o197b2o8bo
2bo7b2o7b2o$401b2o5bo2bo10b2o8b2o7b2o$196bo203bobo5bobo22bob2ob2obo$
171b2o22b3o202bo32b3o3b3o$171b2o22b3o201b2o33bo5bo$416bo$193b2o3b2o
216bo$193b2o3b2o215bobo22b2o$164bo249b2ob2o21b2o$163bobo247bo5bo$162bo
b2o250bo$161b2ob2o247b2o3b2o$162bob2o282bo$158b2o3bobo27b2o252b4o$157b
obo4bo29bo251b2obobo$157bo19bo13b3o251b3obo2bo$156b2o18b3o12bo217bo36b
2obob2o$175b5o229b3o6b2o27b4ob3o$174b2o3b2o231bo5bo16bo12bo4bobo$411b
2o6b3o12b3o18bo$412b3o6bo11b5o17b2o$178bo234bobo16bobobobo$178bo233bo
3bo15b2o3b2o$412b5o$174b2o235b2o3b2o$175bo236b5o$172b3o238b3o$172bo
227bo13bo$398b3o36b2o$397bo27bo11bo$397b2o26bobo10b3o$257bo170b2o10bo$
255b3o170b2o$254bo173b2o$254b2o169bobo4b2o$425bo6bobo$217bo15bo158b2o
3b2o35bo$217b3o11b3o158bobobobo35b2o$220bo9bo162b5o$219b2o9b2o20bo141b
3o22b2o$251b3o141bo23b2o$250b5o$249bobobobo16b2o$222bo5bo20b2o3b2o16bo
105b2o$221b3o3b3o30bo9bobo106bo$220bo2b2ob2o2bo27b4o8b2o107bobo5b2o$
220bo3bobo3bo21bo4bobob2o117b2o5bobo$222bobobobo22bobo2bo2bob3o124b3o$
251bobo3bobob2o126b3o$219b2ob2o3b2ob2o20bo5b4o126b3o$221bo7bo30bo126bo
bo$387b2o24bo5bo$412b3o3b3o$411b2ob2ob2ob2o$410b3o7b3o$228bo$227b3o
182bo7bo$226bo3bo$225bo5bo$190bo34bo5bo156bob2o$188b3o35bo3bo157b2obo$
187bo226bo3bo$187b2o37bo3bo166b2o14bo5bo38bo$225bo5bo165b2o14bo5bo36b
3o$221b2o2bo5bo223bo$221b2o3bo3bo179b2o9b2o32b2o$227b3o181bo9bo$228bo
179b3o11b3o28bo$408bo15bo27bobo$219bo231bo3bo$182b2o3b2o16b2o11b4o5bo
224b3o$205bo11b2obobo3bobo182bo38b2o3b2o$183bo3bo8b2o5bobo10b3obo2bo2b
obo180b3o$184b3o8b3o5b2o12b2obobo4bo180bo30bo33b2o$184b3o5bob2o12b2o8b
4o185bobo27b3o33bo$192bo2bo11bobo9bo188bo27bo25bobo6bobo$192bob2o11bo
16b2o3b2o206bo19bo4bo2bo5b2o$195b3o8b2o16bobobobo156bo46bo2bo20b2o5b2o
$196b2o27b5o157b3o16b2o25bo19bo9bo3b2o$226b3o161bo15b2o24bo3bo16bo11b
2o$227bo161b2o43bo27bo2bo$431bo5bo24bobo$431bo5bo$432bo3bo$433b3o$224b
2o232b2o$225bo226bo5b2o$222b3o226b3o$222bo227bobobo$417b2o31bo2bo$409b
2o7bo32b3o$409b2o7bob2o3b2o25bo$419bo3bo3bo$428bo$421bo2bo3bo$422bo5bo
$423bo3bo23bo7bo$425b2o$449b3o7b3o$450b2ob2ob2ob2o$394b2o55b3o3b3o$
394b2o56bo5bo4$427bob2o$427b2obo8b3o$439bo$435b2o2bobo$434b3o$434b2o2b
2o$434b2o2b3o8b2o9b2o$439b2o9bo9bo$441bo5b3o11b3o$447bo15bo2$172b2o$
172bo263bo2b2o9bo$170bobo264b3o8b3o$132bo23bo3bo9b2o266bo8bo$132bobo
20bo5bo284bobo$135b2o18bo291bo$135b2o18b2o3bo$135b2o20b3o266bo$123b2o
7bobo291b3o16b2o$122bobo7bo24b3o269bo15b2o$122bo32b2o3bo267b2o$121b2o
21b2o9bo$144b2o9bo5bo$136b3o17bo3bo9b2o10b2o$170bobo8b3o$136bobo33bo8b
2obo$135b5o32b2o8b3o$134b2o3b2o42bo$134b2o3b2o2$448b2o$448b2o3$134b2o$
135bo$132b3o$132bo2$507bo$433b2o70b3o$433b2o69bo$504b2o4$501b3o$268b2o
$269bo231bobo$269bobo228b5o$270b2o14b2o22bo155b2o31b2o3b2o$285b2ob2o
17b4o156bo31b2o3b2o$286bo2bo16b4o157bobo$286bo2bo16bo2bo158b2o$145bo
141b2o17b4o173b2o9b2o6bo$145b3o159b4o6b2o165b2o8b2o7b2o12b2o$148bo138b
2o21bo6bobo160b5o32bo$147b2o16bo120bo2bo29bo160b4o21bo2bo6bobo$165b2o
119bo2bo6b2o21b2o184bo2bobo4b2o$164bobo26b2o90b2ob2o6b2o182b4o17bo9b2o
$192b2o76b2o14b2o192b5o19bo6b2o$194bo74bobo31b3o178b2o15b2o8b2o$269bo
32bo3bo176b2o23bobo$268b2o198b2o38bo$149b3o149bo5bo159bobo$148bo3bo
148b2o3b2o159bo$147bo5bo312b2o$147bo5bo$56bo93bo$56b3o89bo3bo$59bo89b
3o$58b2o90bo155b2o122b2o$306bo123bobo$147b2o158b3o120bo$148bo160bo$
145b3o$60b3o82bo$59bo3bo$155b2o304b2o$40b2o16bo5bo10bo80b2o25b2o275b2o
$41bo16b2o3b2o10b3o77bo28bo277bo$41bobo8b2o24bo105bobo10b2o$42b2o7bo3b
o21b2o106b2o12bo25b2o$50bo5bo4bo134b2o2bo22bo2bo$50bo3bob2o2bobo96b2o
28bo7bo2bo21bo234b2o$50bo5bo3bobo90bo4bobo28bo8bobo21bo234bobo4bo$51bo
3bo5bo17b3o71b2o5bo37b2o22bo234bo5b2o$52b2o24b2ob2o69bobo68bo2bo5b2o
229bobo$78b2ob2o115b2o25b2o5bobo164bo$78b5o106bo8bobo33bo164b3o$77b2o
3b2o105bo7bo2bo10b2o21b2o166bo$55b2o139b2o2bo10b2o188b2o$55b2o4b3o121b
2o12bo$184bobo10b2o$60bo3bo94b2o23bo$60bo3bo13b2o16b2o62b2o21b2o33b3o$
61bobo32bo62bo57bo3bo223bo$61b3o22bo7bobo119bo5bo210b2o9b2o8b3o$86b4o
4b2o120bo5bo192b2o17bo9bobo7bo$87b4o128bo196bo17bobo18bo$87bo2bo126bo
3bo180b5o8bo19b2o$87b4o127bo182bob3obo7b2o$86b4o129bo2bo173bo5bo3bo$
16bo38bo7bo22bo135bo172bobo5b3o$16b3o34bob2o5b2obo155bo173b2obo5bo192b
o$19bo33bo3b2ob2o3bo156b3o170b2ob2o195b3o$18b2o34bo3bobo3bo159bo170b2o
bo195bo$55b3o3b3o321b2o8bobo20b2o174b2o$384bobo9bo21b2o$159b2o223bo$
160bo222b2o$84b2obo72bobo21bo$84bob2o73b2o7b2o9b2o3bo14b2o$18b2obob2o
144bobo9b2obob2o13b2o$2o33bo41b2o90bo10bo6b2o9b2o$bo16bo5bo10b3o39b2o
90b3o9b2obob2o9b3o378bo12b3o18b2o$bobo5b2o27bo142b2o3bo11b2o234b2o140b
3o11bo3bo17bo$2b2o5b2o8b2ob2o13b2o14b2o9b2o118bo16b2o5b2o220bo3b2o139b
o13bo5bo5bobo6bobo$12b2o7bo32bo9bo136b2o5bobo212b2o4bobo143b2o13bo3bo
4bo3bo6b2o$12b3o36b3o11b3o101b3o38bo212bo4bobo15b2o143b3o5bo$12b2o37bo
15bo101bo17b2o21b2o197b2o10bobo4bo17b2o143b3o4bo4bo$9b2o158bobo15b2o
193bo25bo12b2o4b2o170bo$9b2o150b2o7b2o210b4o21bo2b2o187bo3bo$64bo95bob
o220b4o20bo2bo7bo182bobo$64b3o93bo34bo187bo2bo20bobo8bo153b3o$39b3o25b
o91b2o33b3o186b4o21b2o161bo3bo$15b2o21bo3bo23bobo124b5o176b2o6b4o184bo
5bo$15b2o20bo5bo23bo107bo16b2o3b2o174bobo6bo25b2o160b2obob2o14bo5b2o$
38bo3bo130b3o197bo33bobo8bo171b3o4b2o$39b3o46bo83bo199b2o21b2o10bo2bo
7bo170b2ob2o$39b3o14b2o10b2o16b3o83b2o20bo200b2o10bo2b2o161bo$56bo11b
2o15bo108bo213bo12b2o133b2o14bobo13bobobobo$44bo9bobo28b2o300b3o19b2o
10bobo8bo124bo14bobo$16bo5bo20bobo8b2o141b2o187bo3bo32bo8b3o122bobo7b
2o4bo15b2ob2o$15b3o3b3o17b2o3bo150bo225b2o10bo122b2o6bobo20b2ob2o$14b
2o2bobo2b2o16b2o3bo151b3o184bo5bo42b2o129bo6b2o17bo$14bo3bobo3bo16b2o
3bo93b2o27b3o28bo184b2o3b2o173bo2bo2bo2bo$14bob2o3b2obo18bobo94bo17b2o
8bo3bo264bo127bo6b2o$14b2o7b2o19bo93bobo17bo8bo5bo262b3o127bobo$138b2o
19bo7b2obob2o261bo3bo127b2o$158b2o274bob3obo$179b2o254b5o26b2o$65b2o
103bo8bobo203b2o61b2o17bo$65b2o50b2o50bobo2b2o6bo203bo62bo17bobo77b2o$
117b2o50bobobo2bo2bo2bo200b3o62bo19b2o77b2o40b2obo3bob2o$170bo3b2o6bo
200bo64b2o139bo2bo3bo2bo$44b2obo107b2o22bobo6b2o234bo165b3o3b3o$44bob
2o59b2o5b2o39b2o22b2o7bobo232bobo140bob2o$107b2o5b2o74bo231bob2o63b2o
75b2obo$37b2o151b2o229b2ob2o63b2o$37b2o383bob2o149b2o$418b2o3bobo25b2o
122b2o$13b2o9b2o391bobo4bo26b2o$14bo9bo392bo170b2o9b2o$11b3o11b3o388b
2o171bo9bo$11bo15bo111b2o445b3o11b3o$139b2o3bo441bo15bo$143bobo4b2o$
24bo102b2o15bobo4bo$24b3o100b2o17bo4bobo435bo$27bo118b2o4b2o12b2o7bo
13bo277b2o118b3o$26bobo136bo2bo6b2o11bobo272bo3b2o117bo$27bo136b2o2bo
8bo8b2o3bo264b2o4bobo120bobo$107bo7bo49bo2bo4bob2o9b2o3bo264bo4bobo15b
2o105bo$48bo57b4o3b4o49bo6b3o10b2o3bo240bo21bobo4bo17b2o$28b2o16b3o57b
o3bobo3bo71bobo8b2o215bo13bo3b2o9b2o7b2o4b2o13bo89bo$28b2o15bo61bo2bob
o2bo50bo6b3o13bo9bobo211b4o12b2obob2o9bobo27b3o87b3o16b2o$45b2o60b3o3b
3o49bo2bo4bob2obo22bo210b4o5b2o5b2o6bo10bo30bo89bo15b2o$164b2o2bo10bo
21b2o209bo2bo4bo2bo5b2obob2o9b3o29b2o88b2o$165bo2bo6bo3bo6bo225b4o4bo
2bo6bo3b2o$152b2o12b2o7b4o5b2ob2o218b2o4b4o3bo11bo$151bobo252bobo7bo3b
o$151bo31bo5bo216bo13bobo22b3o$150b2o253b2o13bobo5b2o17bo$114b2o67b2ob
ob2o231bo6b2o15bobo61b2o$114b2o329b2o7b2o21b2o3b2o7b2o17bo$454bobo21b
5o9bo17bobo$25b2o391b2o3b2o31bo21b2ob2o8bo19b2o$25b2o391bo5bo31b2o20b
2ob2o8b2o94b2o$122bo346bo9b3o105b2o$121bobo295bo3bo45b4o$120bo3b2o62b
2o230b3o47b4o58b2o$120bo3b2o62bo281bo2bo58b2o$120bo3b2o63b3o278b4o$
121bobo3b2o62bo269b2o6b4o21b2o$122bo4bobo330bobo6bo24b2o$108b3o18bo
288b2o40bo$40b2o65bo3bo17b2o288bo39b2o$40b2o64bo5bo303b3o$106b2obob2o
303bo4$80b2o428b2o$80bo425bo3b2o$54bo3bo10b2o7bobo30b2o386b2o4bobo$37b
o14b2obobob2o7b5o5b2o31bo387bo4bobo15b2o$35b4o12bob2o3b2obo6bo4bo38b3o
369bo12bobo4bo17b2o$34bobob2o10bo2bo5bo2bo5b3o2bo40bo342b2o15b2o8b2o
11b2o4b2o$33bo2bob3o10bob2o3b2obo7bo2b2o383bo2bo12bo2bo5bob3o$33b2obob
2o12b2obobob2o9b2o389bo10b3ob2o8b2o$31b3ob4o15bo3bo402bo11bob2o8b2o$
30bobo4bo32b2o389bo12bo10bo28bo15bo$30bo38bo2b2o376b2o5bo2bo53b3o11b3o
$29b2o21b2o14b3o2bo375bobo5b2o26bo31bo9bo$52b2o14bo4bo375bo35b2o29b2o
9b2o$68b5o5b2o368b2o21b2o13b2o$69b2o7bobo390b2o9bob3o$80bo403b2o11b2o$
80b2o402bo12bobo$42b2o3b2o450bo$463b3o33b2o$43bo3bo414bo3bo$44b3o414bo
5bo$44b3o414bo5bo50bo7bo$464bo52bo2bo3bo2bo$462bo3bo54bobo$42b2o421bo
55bobo$43bo417bo2bo56bobo$40b3o418bo55bo2bo3bo2bo$40bo421bo55b3o3b3o$
459b3o$459bo3$550bo$550b3o$553bo$552b2o2$518b2o34b3o$518b2o34b3o$553bo
3bo$552bo5bo$553bo3bo26b2o$516bo37b3o9b2o17bo$515bobo49bo17bobo$515b2o
bo4b3o40bo19b2o$515b2ob2o3b3o40b2o$515b2obo23bo$505b2o8bobo23bobo$504b
obo9bo22b2o3bo62b2o$504bo16b2o3b2o11b2o3bo62b2o$503b2o17b5o12b2o3bo$
523b3o10b2o3bobo20b3o$524bo10bobo4bo20b5o$535bo29bobo$534b2o3$634bo$
521b2o110b2o$522bo110bobo$519b3o63b2o$519bo61bo3b2o$574b2o4bobo$574bo
4bobo15b2o$546bobo3bobo17bobo4bo17b2o11b2o$532bobo13bo3bo8bobo2b2o4b2o
4b2o31bo$530bo3bo9bo11bo3bo3bob3o42bobo$530bo8b2o2bo3bo5bo3bo3bo6b2o
42b2o4b3o3bo26bo$529bo4bo3bo2bo2bo11bo5b5obo47b5o2bobo23bobo$530bo6b3o
8bo3bo12b3o47b2o3b2o3bo21b2o$525b2o3bo3bo2b3o6bobo3bobo61b2o3bo2bo22b
2o$524bobo5bobo2b2o26b3o49bo3b3o23b2o$524bo12b2o23b5obo80bobo7b2o$523b
2o13bobo5b2o13bo6b2o47bo3b3o27bo7bobo$539bo6b2o12bo3bob3o47b2o3bo2bo
36bo$561bobo2b2o4b2o41b2o3b2o3bo12b2o21b2o$572bobo41b5o2bobo12b2o$536b
2o3b2o31bo37b2o4b3o3bo20b3o$536b2o3b2o31b2o35bobo$611bo33bobo$538b3o
69b2o32b5o$538b3o102b2o3b2o$539bo103b2o3b2o4$536b2o$537bo$534b3o111b2o
$534bo113bo$649b3o$651bo!
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Re: Small Spaceship Syntheses

Postby googleplex » March 24th, 2018, 3:31 pm

has anyone tried synthesizing 54P3H1V0?

#N 54P3H1V0
#O Tom Rokicki
#C A small period-3 orthogonal c/3 spaceship.
#C http://conwaylife.com/wiki/54P3H1V0
x = 13, y = 13, rule = B3/S23
3bobo$5bo$obo3b2ob2o$2o4b2o3bo$bo3bob2o3bo$bo3bob2o2bo$bo4bobo$b7ob3o$
2bo7b2o$4b6o$2b2o$2bo2b2o$2bo2b2o!
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Posts: 203
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Re: Small Spaceship Syntheses

Postby Sokwe » March 25th, 2018, 8:59 am

googleplex wrote:has anyone tried synthesizing 54P3H1V0?

#N 54P3H1V0
#O Tom Rokicki
#C A small period-3 orthogonal c/3 spaceship.
#C http://conwaylife.com/wiki/54P3H1V0
x = 13, y = 13, rule = B3/S23
3bobo$5bo$obo3b2ob2o$2o4b2o3bo$bo3bob2o3bo$bo3bob2o2bo$bo4bobo$b7ob3o$
2bo7b2o$4b6o$2b2o$2bo2b2o$2bo2b2o!

very few c/3 ships have been synthesized, and it's not for lack of trying. Elementary spaceships are among the most difficult objects to synthesize. Unlike oscillators and still lifes, they can't easily be built up from smaller components.

A good rule-of-thumb is that smaller objects are easier to synthesize. 54 cells is not particularly small for a c/3 ship. I suspect that synthesizing this ship is a bit beyond our reach at the moment.

Here is a collection of all known c/3 ships up to 50 bits:
#C All known c/3 ships up to 50 bits.
#C Spaceships found by Dean Hickerson, Stephen Silver, Jason Summers,
#C David Bell, David Eppstein, and Matthias Merzenich.
x = 761, y = 462, rule = B3/S23
225bo14bo11bo16bo13bo$210bo13bobo11b2o11bobo13b2o13bobo$199bo9bobo12bo
bo11b2o11bobo13b2o13bobo$198bobo7bo2bo12bo15bo10bo17bo12bo$183bo13b2o
10bo28bo28bo$24bo12bo142bob2o14bo11b2o11b2o12b3o10b2o14b3o12b2o$23bobo
10bobo140bo2bo14bobo24bobo10bo13bobo12bo15bobo$23bobo9b2o141bo3bo14bo
14bo11b2o10b2o13b2o12b2o15b2o$obobo3bobobo10bo12bobo111bo3bo3bobobo15b
o4bo14bo10bo15bo11bo14bo13bo16bo$22b2o12b2o139b3o3bo11bo2bo9bobob2o12b
o2bo8bo2bo11bo2bo10bo2bo13bo2bo$4bo3bo13bobo14bo110bo3bo3bo3bo17b2obo
11b3obo7b2o6bo26bo28bo16bo$35bo2bo135b4o5b2o10bo12bo2bo2bo8bo2bob2o9b
2o13b2o12b2o15b2o$obobo3bobobo8b3o10bo115bobobo3bo3bo10bo10bo11b4o8b2o
13bo2bo13bobo12bo12bobo15bo$21bobo9b2o136b2o21bo14bo3bo9bo2bo13b2o12bo
bo10b2o17b3o$o11bo9bobo8bobo118bo3bo3bo8b3o19bo4b2o10bo2bo10b3o16bo10b
o13bo18bobo$21b2o9b2o158b2o2b2o14bo26bo2bo10bo15bo2bo18bo$obobo3bobobo
141bo3bobobo9bobo17bobo3bo13b2o10bo2bo10bo14bobo17bo14bo3bo$22bo10bo
138b2o17b2o31bobo10b2o14bobo14b2o17b2o$22bobo8bobo137bo40b3o7bo13bo15b
4o13bo18bo$22bobo8bobo137bobo16bo21b3o8bo12b3o15bobo12b3o16b3o$23bo10b
o138bobo16bobo30bobo11bo16bobo13bo18bo$174bo17bobo18b2o11bo14bo13bo18b
o18bo$193bo19b2o10b2o12b2o14b2o15b2o17b2o$215bo10bobo10b2o14bobo14b2o
17b2o$227bo13bo14bo17bo18bo12$338bo12bo14bo15bo10bo$25bo311bobo9b2o13b
2o14b2o9b2o17bo$24bobo309b2o11b2o13b2o14b2o9b2o15b2o$23b2o312bobo11bo
14bo15bo10bo14b2o$obobo3bobobo11bobo152bo157b2o10bo14bo15bo10bo18bo$
24b2o152bo121b2o17bo4bo15bo7b3o12b3o13b3o8b3o15bo$4bo3bo18bo149b2o139b
obobo2bo10bo2bo8bo14bo15bo10bo17bobo$23bo2bo152bo11b3o3bo20b3o3bo20b3o
3bo20b3o3bo19b2o2bo15bobobo3bo8bo11b2o13b2o14b2o9b2o17bobo$obobo3bobob
o9bo127bo3bo4bo19b2o9bo5bo2bo6bo10bo5bo2bo17bo5bo2bo17bo5bo2bo16bo20bo
3bo2b2o7b2o12bo14bo13bo3bo8bo18bo$21b2o152bo3b2o7b2o4bobo3bobobobobo6b
2o4bobo3bo5bo8b2o4bobo3bobobob2o7b2o4bobo3bo14b2o4b3o12b2o6bo9bo13bo2b
o11bo2bo12bo10bo2bo12b2o$o7bo3bo9bo127bo3bo4bo13b2obob2o8b3o3bo3bo5bob
2o7b3o3bo3bo5bobobo6b3o3bo3bo5bobobo6b3o3bo3bo5bob2o8bo4b3o12bobo5bo9b
3o38bobo16bo12bo$22b3o148bo20bobobo2bo19bobobo2b2obob2o13bobobo2bo4bo
14bobobo2b2obobobo7b3o27bo8bo13b2o9bo2bob2o7b3o14b2o14b3o$obobo3bobobo
10bo126bobobo4bo12b3o3bo10bobo3bo3bo16bobo3bo3bo16bobo3bo3bo16bobo3bo
3bo6bo10bo6b3o8b3o6b2o11bo12bo9bo2bo10bo17bo15bo$25bo145bo6bobo8b2o25b
2o25b2o25b2o28bo4b3o8bobo6b2o9b2o12bobo8bo2bo9b2o17b3o15bo$23b2o129bo
4bo11bo2b2o3bo10bo26bo26bo26bo26b2o17bobo7bo8b2o12bo11b3o10bo18bobo12b
2o$23b2o146bo2bo3b2o10bobo24bobo24bobo24bobo24b2o6bobo7b2o31bo26bo2bo
18bo10b2o3bo$25bo128bo4bo14bo4bobo8bobo24bobo24bobo24bobo26bo5b2o26b2o
13bobo10bo2bo14bo14bo3bo11bo2bo$176bo3bo10bo26bo26bo26bo34bo9bo16bobo
12bobo10bobo12b2o17b2o14bobo$174b2o131bobo7bobo14b2o14b4o8bo15bo18bo
17bo2bo$174b2o131bobo7bobo14bo17bobo8bo14b3o16b3o19bo$176bo131bo9bo16b
o16bobo8bobo13bo18bo17b2o$335bobo13bo12bo16bo18bo15bobo$336bo14b2o10b
2o14b2o17b2o15b2o$335b2o14bobo10bobo12b2o17b2o16bobo$336bobo13bo12bo
15bo18bo16bo$337bo6$29bo$27b2o$27b2o$29bo$27bo$obobo3bobobo13b3o$26bo$
4bo3bo3bo12b2o165bo$28bo162bobo11bo$obobo3bobobo11bo2bo162b2o12bobo$
23bo153bo13bobo9b2o$o11bo9b2o152bobo12b2o11bobo$22bobo151b2o16bo9b2o$o
bobo3bobobo8b2o153bo13bo2bo13bo$177bo11bo13bo2bo$22bo127bo3bo3bobobo
12b2ob2o8b2o12bo$22bobo150bo2b3o7bobo10b2o$22bobo125bo3bo7bo11b2o11b2o
13bo$23bo149bo5bo22b3o$150bobobo3bobobo10b4o2bo8bo14bo$171bo6bo9bo16bo
$154bo3bo12b5o12bob2o11b2o$171bo5bo11b3o11b2o3bo$154bo3bobobo9bo3bo28b
o2bo$172bo14b2o17bobo$174bo12b3o19bo2bo$172b2o39bo$172b2o14bobo19b2o$
174bo13b2o20bobo$189bo19b2o$189bobo18bobo$189bobo19bo$28bo161bo$26b2o$
26b2o$28bo$26bo$obobo3bobobo12b3o$25bo$4bo3bo3bo11b2o$27bo$obobo3bo3bo
10bo2bo$22bo$4bo3bo3bo8b2o$22bo219bo$obobo3bobobo9b3o216bobo$23bo217bo
bo$25bo188bo26bo$23b2o188bobo$23b2o173bo14bobo24b2o$25bo150bo20bobo13b
o11bo4bo10bobo$175bobo19bobo12b2o10bobobo2bo9b2o$175bobo19bo14bobo9bob
obo3bo9bo$150bo3bo3bobobo12bo48bo3bo2b2o10bo2bo$179bo16b2o13b3o9b2o6bo
$150bo3bo7bo11b2o4bo11bo3b2obo8bo2b2o10bobo5bo8bo2bob2o$172b7o11b2obob
2o9b2o25bo6bo2bo$150bobobo3bobobo8bo18bo15b2o5b3o6b3o6b2o7bo2bo$171bob
o3b3o9b3o3bo14bo3bo7b3o6b2o8b3o$154bo7bo8bo5bo10bo6bobo9b4o3bo18bo8bo$
172bo5b4o6bo2b2o3bo11b2o2bo12b3o$154bo3bobobo9bobo4bo8bo2bo3b2o28b3o
15bo$173bo5b2o10bo4bobo11b2o29b2o$172b2o6bo12bo3bo12b3o11b2o15b3o$173b
obo5bo9b2o31b2o$174bo16b2o16b2o15bo15bobo$29bo163bo15b2o31b2o$28bobo
180bo31bo$27b2o214bobo$obobo3bo3bo17bo212bobo$26bo3bo213bo$4bo3bo3bo
10bo2bo$22bobo2b4o$obobo3bobobo8bo2bo$22bobo2b4o$4bo7bo10bo2bo$26bo3bo
$obobo7bo17bo$27b2o$28bobo$29bo$362bo$316bo11bo17bo14bobo28bo$303bo11b
obo8b2o17bobo12b2o13bo15bobo$250bo17bo23bo9bobo9b2o10b2o17bobo13bo11b
2o15b2o$240bo7b2o16b2o23bobo8bobo10bo12bo16bo14bobo10b2o16bo$237bob2o
7b2o16b2o23bobo8bo11bobo9bo17b2o14bo14bo14bobo$236bo2bo10bo17bo22bo22b
o11bobo15bobo12bo13bo16bo$235bo3bo8bo17bo34b2o10bo12bo32b2o11b3o14bo$
202bo15bobo14bo4bo7bobo15bobo21b2o10bobo8bobo11bobo13b3o13bobo10bo16bo
bo$198b2ob2o15b2obo12b3o3bo7bo17bo24bobo7bobo9bobo11bobo13b3o13b2o10b
2o16bobo$150bo3bo3bo3bo9b3o7bo14bo3bo11bo3bo14bo4b2obo8bobo15bobo20bob
o9bo2bo8b4o10b4o40bo14b4o$172b2o2bob2ob2o14bo3bo9b2obob2o14b3o5b2o7bob
o15bobo20bo10bob2o11bobo11bobo13b2o13b2o10bo2bo9bobo$150bo3bo3bo3bo11b
3o4bo14bo3bo10bo19bo9bo49bo10bo2b2o9bobo11bobo13b2o13b2o23bobo$172bo2b
obo3bo12b3obobo9b3o3b2o11b2o18b3o15b3o18bo2bo9b2o13bo13bo17bo14bo6bo2b
ob2o9bo$28bo121bobobo3bobobo8bo4bo4bo9bo2b2o3b2o8bo6b2o11bobo17b2obo
14b2obo17b3obo8bo15bo13bo14bo14bo8bo2bo13bo$27bobo141bo4bo4bo8bobo3b2o
11bo2b2o37b2obo14b2obo15bo12b2o14bobo11bobo11b3o12b3o7bo2bo13bobo$26b
2o126bo7bo9bo2bobo3bo7bo2bo3bo4bo7bo2bo5b3o7b3o58b4o8b4o13bo13bo12bo
14bo10b3o14bo$27bobo144b3o4bo8bobo3b2o2bo11bo5b3o7bobo26bobo27bo17bo
11b2o12b2o11b2o13b2o11bo14b2o$27b2o125bo7bo9b2o2bob2ob2o8bo2b2obobo14b
o14bobo19bo3bo2bo10bo3bo2b2o8bo4b2o54bo14bo$30bo141b3o7bo11b2o16b2o3b
2o9b2o20b2obobo2b2o8b2obobo2bo8b2o2b2o10bo14bo2bo10bo2bo9bo2bo11bo2bo
11bo12bo2bo$obobo3bobobo13bo2bo166b2o14b2o3b2o31bobo15bobo4bobo7bobo3b
o8b2o13bo13bo12bo14bo13b2o12bo$25bo171bo16bo4bo9bo19b2o16b2o15b2o15bo
12b2o12b2o11b2o13b2o13b3o10b2o$4bo3bo15b2o203bobo69b3o10bobo11bobo10bo
bo12bobo25bobo$25bobo201bobo18bo17bo16bo16bo10b2o12b2o11b2o13b2o15bobo
8b2o$obobo3bobobo12b2o203bo19bobo15bobo14bobo16bo67b2o$28bo221bobo15bo
bo14bobo14b2o10bo13bo12bo14bo16bo10bo$4bo7bo11bo2bo223bo17bo16bo15b2o
10bobo11bobo10bobo12bobo14bobo8bobo$23bo280bo9bobo11bobo10bobo12bobo
14bobo8bobo$obobo3bobobo9b2o291bo13bo12bo14bo16bo10bo$22bobo$21b2o2$
22bo$22bobo$22bobo$23bo7$335bo41bo10bo$298bo18bo16bobo11bo12bo13b2o9b
2o15bo18bo$281bo15bobo16bobo14b2o11b2o12bobo12b2o9b2o13b2o18bobo22bo$
280bobo14bobo16bobo15bo11b2o11b2o16bo10bo12b2o18bobo21bobo$279bo2bo14b
o18bo16bobo12bo11bobo12bo10bo16bo17bo23bobo$280bo52bo12bo13b2o12b3o8b
3o13bo43bo$192b3o23bo25bo17bo4bo13b2o13b2o17b2o15bo12b3o15bo10bo10bo
15bobo16b2o22b2o$192b3o21b2o24b2o17bobobo2bo28bobo16bobo13b2o11bo13bo
2bo10b2o9b2o15bobo17bobo20bobo$45bo15bo114bobo15b2o20b2o24b2o17bobobo
3bo13bo13b2o17b2o14bobo9b2o12bo17bo8bo16bo18b2o$44bobo13bobo113bo16bo
3b2o62bo3bo14bo17bo18bo14b2o11bo11b2o13bo2bo10bo2bo10b2o20bo20b3o$43b
2o15bobo87bo3bo3bobobo9b4o41b3o23b3o4bobo7b2o6bo10bobob2o14bo2bo15bo2b
o24bo2bo7bobo11bo29bo21bo2bo16b2o$44bobo13bo111b4o2bo15b2obo12b3o3bo3b
obo2b2o9b3o3bo3bobo2bo8bobo4b2o9b2o6bo16bo18bo11b2o20b2o12b2o15b2o12b
3o23bo17bo$25b2o17b2o13b2o89bo3bo3bo16bo19bo13bo5bo2bo3bo2bo9bo5bo2bo
3bo2b2o15bo10bo2bo2bo14b2o17b2o13b2o11b2o22bo16bo13bo21b2o20b3o$47bo
11bobo109b3o5b2ob2o8b3obo10b2o4bobo2bo5bobo6b2o4bobo2bo14b3o6b3o8b2o
19bobo16bobo14bo11bo8bo13b3o13bobo14bo20bo$obobo3bobobo10b2o2bo15bo2bo
103bobobo3bobobo8b2ob2o4bo10bo4bo10b3o3bo19b3o3bo19bobo7bo10bo3bo14b2o
17b2o14bo12bobo7bo14bo14bo14b2o21b3o18bobo$22bo19bo15b3o112b2o2bo6bo6b
obo19bobo23bobo18bobo8bo9bo2bo15bo16bo3bo11b3o11bo8bo17bo11bo15b2o3bo
18bo18bo$4bo3bo12b2o4b3o11b2o15b3o93bo7bo11b2o8bo6bo2bobo2bo8bobo3bo
19bobo3bo18b2o8b2o12bo17bo2bo15bo12bo12bo9b2o14b2o12bobo15bo2bo20bo17b
o3bo$22bo4b3o12bobo12bo123b3o8bob3o2bo8b2o24b2o33b2o12b2o20bo10bobo13b
2o12bobo8bo2bo11b2o12bobo16bobo18b2o19bob2o$obobo3bobobo9b3o17b2o11b2o
97bo3bobobo12bobo2bo11bob3o2b2o8bo25bo24bo10bo30b2o11b3o17bo10bobo9bob
o26b4o17bo2bo14b2o3bo18bo$23bo6b3o12bo9bobo117bo3bo13bobo3bo9bobo23bob
o22bobo22b3o14bobo10bo15bo2bo9b4o9b3o10b2o17bobo20bo15bo2bo19b3o$4bo3b
o3bo12bo4b3o8bo2bo130bobobo29bobo23bobo22bobo22b3o13b2o11b2o14bo12bobo
10bobo11bobo16bobo17b2o18bobo19b3o$23b2o15bo13b3o119bo3bo15b2o12bo25bo
24bo40bo13bo12b2o12bobo10bobo11b2o17bo20bo21bo2bo$obobo3bobobo10b2o4b
2o8b2o13bobo141b2o86bobo14bo2bo8bobo12bo12bo12bo13bo19bo19b3o23bo17b3o
$25bo3b2o9bo14bobo228b2o19bo7bobo12b3o11bo12bo13bo18bobo18bo21b2o19b3o
$31bo8b3o11b2o231bo16b2o9bo15bo12bobo10bobo11bobo17bo21bo19bobo$41bo
245bobo14bobo10bo15bo11bo12bo13bo17b2o19b2o19b2o19b2o$43bo11bo231bobo
13b2o10b2o14b2o11b2o11b2o12b2o18bobo17b2o20bobo17b2o$41b2o12bobo230bo
15bobo8b2o14b2o12bobo10bobo11bobo17bo20bo20bo20bo$41b2o12bobo247bo11bo
15bo12bo12bo13bo$43bo12bo11$347bo$296bo18bo12bo16b2o11bo21bo$294b2o17b
2o12bobo15b2o9b2o21bobo$285bo8b2o17b2o11b2o19bo8b2o20b2o$250bo32b2o11b
o18bo11bobo15bo12bo20bobo$26bo220bob2o15bo16b2o9bo18bo13b2o15b3o9bo22b
2o$25bobo14bo132b3o68bo2bo16bo18bo7b3o16b3o15bo13bo10b3o24bo$24b2o14b
2o133b3o67bo3bo11b3obo17bo9bo18bo13bo2bo13b2o10bo22bo2bo$26bo13b2o135b
2o15b2o23b2o24bo4bo8bo2b2obobo15bobo6b2o17b2o12bo20bo7b2o21bo$24b2o16b
o132bobob2o9b2obo2bo18b2obo2bo22b3o3bo7b2o3b2o18bobo7bo18bo11b2o16bo2b
o9bo20b2o$24b3o13bo109bo3bo3bobobo14bo11bo3b2o19bo3b2o22bo4b2obo7bo5bo
19bo9bo2bo15bo2bo8bo15bo14bo2bo17bo$39b3o132b2o12bo8b3o13bo8b3o5bo11b
3o5b2o7bo4bobo16bo14bo18bo7b3o12b2o18bo16b3o$obobo3bobobo11bo2bo11bo
110bo3bo3bo14bo15bo3b5o3bo3b2o7bo3b5o3bob2o11bo9bo7bo5bo13b2o2bo11b2o
17b2o10bobo11bobo14b2o19bo$24bobo11b2o133b4ob2o11bobo4bo2bob2o11bobo4b
o2bo3b2o7b2o23b2o12bo2bo13bobo16bobo13bo8b2o17bo21bo$4bo7bo11bo12bo3bo
108bobobo3bobobo8bo5bo3bo7b3o3bo9bo8b3o3bo18bobo16b2o5bobo10b3obo11b2o
17b2o12bo3bo26b3o17b2o$25bo14bo130b5obo3bo7b3o3bo2bo15b3o3bo2bo35bobo
4bo11bo16bo16bo3bo11b2o10bo18bo18b2o3bo$obobo7bo12bobo8bobo115bo3bo3bo
8bo9bo14bo24bo16b3o18b2o18b4o13bo2bo15bo13bobo8bo20bo18bo2bo$26bo8b3o
134bo3bo2bo17bo24bo15b3o19bo16bo22bo10bobo15b2o9bob2o15b2o20bobo$4bo7b
o12b2o8bo118bo3bobobo9bo5b2o15bo2bo21bo2bo37bo2bo11bo4b2o14b2o11b3o19b
o8b3o15b2o3bo19bo2bo$34b2o138bo20bo24bo20b3o21bo9b2o2b2o16bobo10bo17bo
2bo29bo2bo23bo$obobo7bo11bo2bo7bo136b2o21bobo22bobo18b3o18b2o11bobo3bo
14b2o11b2o16bo11b2o21bobo20b2o$23bo12bo2bo132b2o22bo24bo40bobo9b2o21bo
13bo14b2o11b3o23bo2bo17bo$22b2o16bo133bo65b2o19b2o35bo2bo8bobo13bobo
40bo16b3o$22bobo12b2o201b2o20bobo10bo26bo7bobo12b2o13bobo23b2o19bo$21b
2o14bobo202bo20bo11bobo21b2o9bo29b2o24bobo20bo$36b2o237bobo21bobo10bo
13bo14bo23b2o20b2o$22bo14bobo236bo21b2o10b2o14bobo12bobo22bobo18b2o$
22bobo13bo260bobo8b2o14bobo12bobo23bo21bo$22bobo275bo11bo14bo14bo$23bo
12$367bo$366bobo$365b2o14bo16bo17bo$277bo89bo11b2o15b2o17bobo$25bo9bo
240bobo86b2o12b2o15b2o17bobo$24bobo7bobo139b2o58bo38b2o14bo73b3o13bo
16bo16bo$23b2o9bobo137b2o3bo54b2o40bo13bobo13b2o71bo16bo17b2o$25bo8bo
139b2obobo17b3o16bo17b2o39bobo12bobo72bo2bo9b3o14b3o16bobo$23b2o154bo
17b2o16bo43bo15bo14bo13b2o2bo16bo4bo13bo4bo15bobo10bo16bo$23b3o7b2o
140b3o21bo14b2o19b3o20bobo13bo28bo20bobobo2bo11bobobo2bo14bo11b2o15b2o
17b3o$34bobo137bo21b3o17bobo16b3o19b2o15bobo12b2o11b2o4b3o13bobobo3bo
10bobobo3bo14bo11bo14bo3bo15b3o$23bo2bo7b2o114bo3bo3bobobo10b3o19bo18b
3o2bo38bobo13bo2bo11b2obo10bo4b3o13bo3bo2b2o10bo3bo18bobo10bo2bo13bo
15bo$obobo3bobobo10bobo9bo136bo2bobo17b2o17b2o2bo12bob2o23b2o15b2o13bo
bo10b3o17b2o6bo10b2o6bo16bo15bo8bobo15b2o$23bo12bo2bo110bo3bo7bo30bo3b
o11bo20bo3bo12b3o11bo14b2o12bo13bo6b3o9bobo5bobo8bobo4b2o15b2o12b2o9b
3o16bobo$4bo3bo3bo11bo15bo131b3obobo14b3o11bo2b3ob2o13b2o15bo10bo2bo
14bo14bobo13bo4b3o36bo29bobo8bo$24bobo10b2o111bobobo7bo8bo3b3o15bob3o
9bobo5bo13bo4b2o8b2o4bo5bo13bo3bo2bo10bo2bo12b2o16b3o6b3o7b3o6b3o12bo
2bo10b2o9b2o17b3o$obobo3bobobo12bo12bobo131bo4bo28bo9b2obo8b5obo9b3o3b
obo2b2o11b2o5bo11bo4bo11b2o4b2o10bobo6b2o8b3o7bo12bo13bo3bo8bo17b3o$
24b2o12b2o114bo7bo9bo15b2ob2o2bo11b3o6bobo12bobobo14bo6bo10b2o16b2o6b
2o10bo3b3o10bobo7bo19bo9b2o16bo10bo2bo12bo$4bo3bo3bo28bo132b2o11bo4bob
o2bo12bobo14bo17bobo3b5o16bo2b2o9bobo2b2o29b2o7b2o11b3o4b2o11bobo10bob
o16bo9b2o$23bo2bo10bo2bo113bo7bo8b2o13bo3bo2b2o3bo9b3o2bo13bo2b2o13b2o
6b2o14b4o12b2o5bo20b3o16bobo9b3o4b2o11b2o10b3o14b2o11bobo$obobo3bobobo
9bo13bo135bo14bo5b2o2bo10b2o16bob4o14bo7bo15b2o2bo17b3o18b3o7bo9bo19bo
13bo8bo16bobo$21b2o12b2o135b3o14bo4b2o15bo14b2o18bobo37bo6bo29bobo17b
2o18bo2bo8b2o15b2o11b3o$22bo12bobo135bo13b2o19b2o2bo33bobo23b2o12bobo
6bo16b2o9bobo17b2o17bo13bo16bo11bobo$22b3o9b2o139bo11b2o20bo2bo14bo19b
o24b3o11bobo4b2o17b2o10bo20bo15b2o14bo2bo13bo2bo8bobo$23bo149b2o14bo
20bo16bobo57bo5b2o19bo46bobo17bo16bo6b2o$25bo9bo137b2o52bobo41b2o22bo
64b2o16b2o15b2o$23b2o10bobo137bo52bo42b2o105bobo14bobo8bo$23b2o10bobo
235bo87bo15b2o15b2o10bobo$25bo10bo324bobo14bobo14bobo8bobo$361bobo15bo
16bo10bo$362bo12$325bo25bo17bo$324bobo10bo12bobo15bobo$323b2o10b2o13bo
bo15bobo14bo16bo$23bo16bo12bo9bo261bo9b2o13bo17bo15bobo14bobo$22bobo
13b2o12bobo7bobo149bo20bo14bo72b2o12bo45b2o16bobo$22bobo13b2o11b2o9bob
o135bo11b2o19b2o14bobo71b3o9bo13b2o16b2o15bobo14bo$22bo17bo12bo8bo135b
2o12b2o19b2o14bobo9bo4bo15bo4bo16bo4bo25bobo12bobo15bobo13b2o$38bo12b
2o127bo17b2o14bo20bo13bo10bobobo2bo13bobobo2bo14bobobo2bo12bo2bo8bo14b
2o16b2o17bo12b2o$21b2o14b3o11b3o7b2o116bobo30bo20bo14b2o10bobobo3bo12b
obobo3bo13bobobo3bo11bobo10bobo12bo17bo13bo2bo14bobo$22bobo12bo24bobo
114b2o18b3o7bo2bo20bobo12bobo9bo3bo2b2o12bo3bo2b2o13bo3bo2b2o11bo12bob
o13bo2bo14bo2bo8bo18b2o$22b2o12b2o13bo2bo7b2o115bo19b3o7bo2b2o19bobo
23b2o6bo12b2o6bo13b2o6bo13bo31bo17bo6b2o19bo$obobo3bobobo10bo13bo13bob
o9bo86bo3bo3bobobo17bobo26bo24bo12b3o9bobo5bo12bobo5bo13bobo5bo13bobo
9b3o14b2o16b2o9bo20bo2bo$24bo2bo10bo2bo9bo12bo2bo112bobo9bo4b2o11b3o2b
o17bo10bo2b2o20bo20bo21bo12bo10b2obo14bobo14bobo8b3o$4bo3bo3bo15bo13bo
9bo15bo81bo3bo3bo3bo16b3o9bo4bobo12bo18bo2bo8b2o14b3o6b2o10b3o6b2o11b
3o6b2o12b2o12b2obo12b2o14b2o11bobo14bo2bob2o$25b2o12b2o11bobo10b2o111b
2o10b2o2bobo14bob3o12b2obo10b2o5b3o6b3o6b2o10b3o6b2o11b3o6b2o45bo15bo
13bo12bo2bo$obobo3bobobo13bobo11bobo10bo11bobo82bobobo3bobobo15bo11bo
2bo15b2o3b2o12b3obo13bo3bo18bo20bo21bo10bo2bo26bo2bo12bo2bo11bo3bo11bo
2bo$26b2o12b2o10b2o10b2o107bo3bobo9b2o2bo4bo10b2obobo12bo15b4o3bo10b3o
12b3o19b3o21bo14b2obo11bo15bo16b2o14b3o$4bo7bo16bo13bo21bo88bo3bo3bo9b
obo3bo10bo5bo3bo14bo12b6o11b2o2bo12b3o12b3o19bobo20b2o14bobo11b2o14b2o
17bo15bo$25bo2bo10bo2bo8bo2bo11bo2bo102bo4b3o2bo6b2obo3b2obo8b2obo13bo
96bobo11bo15bobo13bobo15b3o$obobo3bobobo11bo13bo12bo18bo83bo3bobobo9bo
bobo5bo7bo17b2o14bo4b2o15b2o14bobo12bobo17b3o22b2o10b2o16b2o14b2o17bob
o13bo$23b2o12b2o11bo16b2o106b5obo8b2o2bo15bobo10b2o2b2o17b3o13b2o13b2o
18b2o26bo8bobo18bo15bo19bo9b2o$24bo12bobo10b3o15bo102b2o20bobo14bo12bo
bo3bo33bo14bo20bo21bo2bo26bo2bo12bo2bo17bo3bo8b3o$24b3o9b2o30b3o101b2o
b2o3bo10bo3bo15b4o7b2o23bobo13bobo12bobo16b2o21bo12b3o14bo15bo22b2o13b
obo$25bo25bobo15bo103bob2o14bo20bo34b2o14bobo12bobo17bobo18b2o12bobo
13b2o14b2o23bo11b3o2bo$27bo9bo13b2o18bo105bo13bobo18b2o9bo24bo15bo14bo
19bo20bo13bobo12bobo13bobo22b3o9b2o$25b2o10bobo12bo16b2o121bo20bo9bobo
22bobo69b3o10b2o13b2o14b2o25bo13bo$25b2o10bobo12bobo14b2o143bo8bobo22b
obo70bo71bo8b2o2bo$27bo10bo13bobo16bo152bo24bo73bo10bo14bo15bo25b2o10b
o2bo$53bo267b2o11bobo12bobo13bobo23b2o11bo$321b2o11bobo12bobo13bobo25b
o$323bo11bo14bo15bo46$571bo18bo16bo17bo13bo15bo32bo28bo13bo13bo$570bob
o16bobo14bobo15bobo11bobo13bobo11bo17b2o27b2o13bobo11bobo$570bobo16bob
o14bobo15bobo11bobo13bobo9b2o18b2o12bo14b2o13bobo11bobo$570bo18bo16bo
17bo13bo15bo11b2o20bo9b2o17bo12bo13bo$50bo617bo17bo11b2o15bo$49bobo13b
o19bo450b2o31b2o17b2o15b2o16b2o12b2o14b2o11bo18b3o12bo13b3o12b2o12b2o$
48b2o3bo10bobo17bobo483bobo16bobo14bobo15bobo11bobo13bobo9bobo16bo12bo
15bo15bobo11bobo$49bo4bo9bo19bobo18bobo426b2o2bo31b2o17b2o15b2o16b2o
12b2o14b2o10bo17b2o11b3o13b2o15b2o12b2o$48b5obo9bo2bo16bo20b2obo13b2o
23b2o21b2o278bo20bo20bo9bobo8bo19bo19bo4bo12bo18bo16bo17bo13bo15bo11bo
bo17bo9bo14bo3bo14bo13bo$34bo12b3o16bo33bo3bo13b2obo2bo18b2obo2bo46bo
32bo28bo28bo28bo132bo2b3o5bobo7bo2b3o15bo2b3o3bo2bo8bo2b3o3bo2b2o6b2o
4b3o11bobobo2bo12bo2bo15bo2bo13bo2bo14bo2bo10bo2bo12bo2bo7bobo13bo2bo
9b2o17bo16bo2bo10bo2bo$30b2ob2o11bo3bo15bob3o12b2o2bobo8b2obob2o12bo3b
2o19bo3b2o20b2o2bo22b2o23b2o6bobo18b2o6bobo18b2o6bobo18b2o6bobo5bobo9b
3o26b3o26b3o26b3o23b2o4bobobo2bo7b2o4bobobo2b2o6b2o4bobobo2b2o6b2o4bob
obo2bo8bo4b3o11bobobo3bo15bo18bo16bo17bo13bo37bo14bo13bobo22bo13bo$o3b
o3bobobo16bo3bo11bo3bo16b3o12bo2bob4o8bo17bo8b3o13bo8b3o5bo8bo25b5ob3o
25bo28bo8bobo17bo6bo2b2o17bo6bo2bo9bo28bo28bo28bo30bobo3bo2b2o10bobo3b
o2bo11bobo18bobo5bobo7b3o16bo3bo2b2o12b2o17b2o15b2o16b2o12b2o14b2o8b3o
11b2o15bo2bo8b3o20b2o12b2o$29bo3bo11bobobo30bo4b2o10b3o3b2o12bo3b5o3bo
3b2o7bo3b5o3bob2o8b2o4b3o17bo8bobo4bo9b2o2bo3bo2b2obobo2b2o8b2o2bo3bo
2b2obobo2bo9b2o2bo3bo2b2obobo2bo9b2o2bo3bo2b2obobo2b2o6b2o4bo4bobo15b
2o4bo4bobo15b2o4bo4bobo15b2o4bo4bobo15b2ob2o16b2ob2o7bobo6b2ob2o16b2ob
2o18bo6b2o8b2o6bo13bobo16bobo14bobo15bobo12bobo13bo8b2obo10bobo26bo22b
obo12bo$o3bo3bo3bo15bo3bo2bobo7bo3bo14b4o11bo3bob2o9bo6b2o14bobo4bo2bo
b2o11bobo4bo2bo3b2o7bo4b2o18bobo2b2o4bobo3bo7bo6b5o5bo2bo8bo6b5o5bo2b
2o7bo6b5o7bobo7bo6b5o16b3o3bobob2obo15b3o3bobob2obo15b3o3bobob2obo15b
3o3bobob2obo15b3o18b3o18b3o18b3o22bo4b2o8bobo5bobo10b2o17b2o15b2o16b2o
14b2o13bobo9b2obo7b2o13bo2bob2o7b2o21b2o14b3o$26b3obobo3bobo7bo2b2o13b
o4b2o8bo2b2obo10bo2b2o16b3o3bo9bo8b3o3bo18b3o4bo10bo6bo5bo2b3o2bo9b2o
4b2o6bo5bobo6b2o4b2o6bo14b2o4b2o6bo14b2o4b2o6bo20bo28bo13bo14bo28bo22b
4obo15b4obo15b4obo15b4obo17b2o7bo29bo18bo16bo19bo15bo11bo37bo2bo11bo
20bo3bo13bo$obobo3bobobo10bo2b2o3b2o3bo9bo5b2o8bo2b2o2b2o7b3o15bo2bo5b
3o9b3o3bo2bo15b3o3bo2bo16bo6b4o5b2o7bo5bo6bob2o7bo4b2o3b2o17bo4b2o3b2o
17bo4b2o3b2o17bo4b2o3b2o17bobo3b6obobobob2o8bobo3b6obobobobobo7bobo3b
6obo15bobo3b6obo5bo8b2obobo15b2obobo15b2obobo15b2obobo17b2o5bo8b3o6b3o
12bo2bo15bo2bo13bo2bo11bo2bo12bo2bo11bo24bo13bo2bo12bo2bo19bo16bo$22bo
bo3b2o17b2obo11b3o12bo3bo17bo5b3o16bo2bo21bo2bo17bo10b2obo8bobo21b3o4b
o2b2o17b3o4bo2b2o17b3o4bo2b2o17b3o4bo2b2o17b2o6bo8bobobo7b2o6bo8bob2o
8b2o6bo8bob2o8b2o6bo8bobobo94bo3b3o7b3o6b2o17bo18bo16bo9bo15bo15bobo
10b2o10bo14b3o31bobo16b2o$4bo7bo8bo2bo3bo4bo16bo10bo2bobo10bo2bo20bo
23bobo22bobo15b2o8b3o3bo9bo9b2o12bo28bo28bo28bo28bo8bo2bo5bo10bo8bo2bo
16bo8bo2bobobobobo8bo8bo2bobobob2o7b2o2bo16b2o2bo16b2o2bo16b2o2bo24bo
20bo13b2o17b2o15b2o10b2o14b2o14bo2bo9b2o10bo16bo14b2o15b3o17b2o3bo$22b
obo3b2o2bo17b2o9b3o13bo2bo18b2o5bobo16bo24bo17b2o9bo4bo8b2o8bo16bo28bo
28bo28bo26bobo6bo19bobo6bo19bobo6bo8bo10bobo6bo18bo20bo20bo20bo26b2o
12b3o3b2o14bobo17bobo13bobo10bobo13bobo11b4o11bo10b2o31bo15bo21bo2bo$
4bo3bobobo10bo2b2obobo29bo2bo15bobo16b2o5b2o19bo24bo17bo8bo3bo10bobo5b
o2bo12b2o27b2o27b2o27b2o27bobo7b2o17bobo7b2o17bobo7b2o17bobo7b2o16bo3b
obo14bo3bobo14bo3bobo14bo3bobo22bo11b3o4bobo11b2o19b2o13b2o12b2o14b2o
11bobo10bo2b2o10bo2bo13bo13bobo13b2o22bobo$26b2o24b3o8b2o36bo5bo17b2o
23b2o28bo2bo11bo7bobo12b2o27b2o27b2o27b2o28bo28bo28bo28bo30b2obo17b2ob
o17b2obo17b2obo20bobo18bo13bo22bo14bo13bo15bo9bo12bo2bo12bobo11b2o14bo
18bo23bo2bo$28b2o22b3o8bo16b3o24bobo15b2o23b2o29bob2o19bo15bo28bo28bo
28bo142b2o19b2o19b2o19b2o25bobo9b2o22bo2bo14bo2bo11bo2bo10bo2bo12bo2bo
9bo13bo14b3o12b3o12bo15bo2bo28bo$29bo34b3o13b2o25bobo17bo24bo31bo265b
2o19b2o19b2o19b2o25bo11b2o26bo12bo14bo13bo15bo13bobo12b3o10bobo16bobo
9bobo12bo29b2o$51b2o14bo14bo25bo343bo20bo20bo20bo26bo11bo22b2o13b2o13b
2o12b2o14b2o13bo2bo12bo11bobo14b3o2bo8bo2bo10b2o30bo$51b2o12b2o13b2o
458b2o36bo14bo14bo13bo15bo29b2o2bo7bo16b2o26bobo29b3o$53bo11b3o13bobo
456b2o36b3o12b3o12b3o11b3o13b3o11b3o16bobo7bo18bo10b3o10b2o32bo$82bo
459bo36bo14bo14bo13bo15bo12b2o15bo3bo7bobo13b2o2bo9b2o47bo$581bo14bo
14bo13bo15bo12bo14bo12bo15bo2bo11bo11bo32b2o$579b2o13b2o13b2o12b2o14b
2o11b2o15bobo9b2o16bo11b2o12bobo30b2o$579b2o13b2o13b2o12b2o14b2o12bobo
14bo11bobo27bobo10bobo32bo$581bo14bo14bo13bo15bo12bo28bo29bo12bo12$
379bo11bo20bo12bo17bo15bo16bo11bo17bo26bo16bo12bo14bo21bo10bo9bo14bo$
377b2o10b2o19b2o11b2o16b2o14b2o15b2o10b2o16b2o25b2o15b2o11b2o13b2o20b
2o10bobo7bobo12bobo27bo19bo20bo$246bo21bo108b2o10b2o19b2o11b2o16b2o14b
2o15b2o10b2o16b2o25b2o15b2o11b2o13b2o20b2o9b2o9bobo12bobo26bobo16b2o
19b2o$245bobo19bobo109bo11bo20bo12bo17bo15bo16bo11bo17bo26bo16bo12bo
14bo21bo10bo8bo14bo28bobo16b2o19b2o$76bobo155bo9b2o20b2o27bo11b2o68bo
11bo20bo12bo17bo15bo16bo11bo17bo26bo16bo12bo14bo21bo10b2o53bo$76bo156b
obo9bo21bo27bo81bobo9bobo17b3o10b3o15b3o13b3o14b3o9b3o15b3o24b3o14b3o
10b3o12b3o19b3o9b3o7b2o13b2o27b2o19b3o18b3o$41bo31b3o157b2o9bobo19bobo
21b3obo10b2o2bo57bo9bobo9bo19bo12bo17bo15bo16bo11bo17bo26bo16bo12bo14b
o21bo22bobo12bobo25bobo18b3o18b3o$30bo9bobo30b2obo156bo10bo21bo21bo2b
2obobo7bo60b2o11bo11bobo15b2o11b2o16b2o14b2o15b2o10b2o16b2o25b2o15b2o
11b2o13b2o20b2o11bo2bo7b2o13b2o$28b2o9b2o31bo2b2o157bobo6bo21bo21b2o3b
2o9b2o4b3o16bo36b2o9b2o12bobo16bo12bo17bo15bo16bo11bo17bo24bo3bo12bo3b
o10bo16bo17bo3bo9bobo9bo14bo25b3o16b3o18b3o$28b2o11bo31bob2o2bo154bobo
6bobo19bobo19bo5bo10bo4b3o15bobo5b2o40bo32bo2bo9bo2bo14bo2bo12bo2bo13b
o2bo8bo2bo14bo2bo23bo16bo12bo2bo8bo2bo21bo10bo12bo2bo11bo2bo21b3o16b3o
18b3o$30bo8b2o28b2obo2b2o13b2o31b2o31b2o31b2o41b4o7bo21bo22bo4bobo8b3o
19b2o26bo11b3o8b3o10b3o21bo12bo17bo15bo28bo17bo18bobo14bobo25bo21bobo
13bo15bo14bo38bo20bo$obobo3bobobo15bo10b3o26bo8bo153bobo10b4o18b4o18bo
5bo10bo6b2o13bobo3b2o2bo15bobo10b3o9bo11b2obo17b2o11b2o16b2o14b2o15b2o
10b2o16b2o19b3o14b3o16b2o7b2o20b3o14bobo10b2o13b2o19b3o15bob2o17bob2o$
28bobo40bo5bobo8b2o2bo6bo3bo17b2o2bo6bo3bo6bo10b2o2bo6bo3bo17b2o2bo6bo
3bo28bobo12b2o20b2o23b2o12bo4b2o13b2o3bo19b2o26bo11b2obo15bobo10bobo
15bobo13bobo15bo11bo17bo19bo16bo19bo8bo20bo17bo11bobo12bobo18b3o14bo3b
o16bo3bo$o7bo3bo15bobo9bo2bo23bobo17bo10bobobo2b2obob2o8bo10bobobo2b2o
bobobo7bo10bobobo2bo14bo10bobobo2bo4bo21bo16bo21bo16b2o5bobo8b2o7bo15b
obo4b3o13bobo3bo3b3o12b2o30b2o11b2o16b2o14b2o16bobo10b3o15b3o16b2o15b
2o18bobo7b3o17b2o16b2o10b2o13b2o19bo16bo20bo$29bo9b3o3bo5bobo12b3o17b
2o4b3o3bo3bo5bobobo6b2o4b3o3bo3bo5bob2o7b2o4b3o3bo3bo5bob2o7b2o4b3o3bo
3bo5bobobo34bo21bo19bobo4bo9b2o5bo13bo2bo3bo3b3o13b2o3bo4b3o12b2o29bo
3bo10bo17bo15bo16bo13bobo15bo18bo16bo18bo10bobo19bo27bo14bo16bob2o17bo
bo18bobo$obobo3bo3bo10b3o2bo10b2o2bobobo3b2obo11bo20bo4b2o4bobo3bo5bo
9bo4b2o4bobo3bo15bo4b2o4bobo3bobobobobo7bo4b2o4bobo3bobobob2o11bo4b4o
14bo3b2obo14bo3b2obo13b2o17bo3b3o11bo30bobo32b2obo17bo12bo2bo14bo2bo
12bo2bo11bo18bo15bo17bo2bo13bo2bo13bo15bo13bo2bo14bo2bo11bo2bo11bo2bo
11bo3bo$23b2o3bo13bobo4bo15b2o20b3o4bo5bo2bo16b3o4bo5bo2bo16b3o4bo5bo
2bo6bo9b3o4bo5bo2bo17b2obo4bo17bo5bo15bo5bo14bo21bo12b2o14b3o9bo2bo3b
2o2bo12b2o13bobo14bobo18bo17bo15bo10bobo13bo3bo12b2o22bo16bo12bobo10bo
3bo11bo17bo44bo22b3o18b3o$4bo3bo3bo13bo13bo3bo2b3o18bo19bo6b3o3bo19bo
6b3o3bo19bo6b3o3bo19bo6b3o3bo19bo4b2obo18bobo19bobo18bo2bo16b2o12bobo
13b3o8bo24bobo11bo16b3o16b2o16b2o14b2o11bo2bo14b2o14b2o3bo15b2o15b2o
13bo2bo11b2o12b2o16b2o12bo2bob2o12b2o12bobo19bo20bo$24b2o2bo2b2o7bo3bo
2b2o2bo12bo2bo22bo32bo32bo32bo29b3o3b2o29bobo35bo16bo11b2o25b2o9b2o12b
2obo9b2o17bo18bobo16bobo12bobo9b4o16bobo14bo2bo16bobo13bobo11b4o13bobo
11bobo16bo11bo2bo16bo34bobo18bobo$obobo3bobobo9bo2bo2bobo9bobo7bobo10b
o24b2o31b2o31b2o31b2o29bo31bo3bo2bo14bo3bo2b2o10b2o19bo2bo23b2o9bobo
22bo12bobo15b2o17b2o18b2o12b2o10bobo18b2o16bobo16b2o13b2o12bobo15b2o
12b2o15b3o11bo2bo15bobo11b3o17b4o17b4o$22b3o2b3obo9bo6bo13b2o24b2o31b
2o31b2o31b2o29bo2b2o26b2obobo2b2o12b2obobo2bo12bo23bo7bo14b2o8b2o24b2o
32bo16bo21bo13bo8bo23bo17bo2bo15bo14bo10bo20bo13bo13b2o2b2o9b3o15bo12b
o19bobo18bobo$21bo2bob3o19bo13bobo25bo32bo32bo32bo28bo2bo27bobo19bobo
4bobo11b3o18b2o9bobo14bo33b2ob2o7b3o15bo2bo18bo2bo13bo2bo10bo2bo8bo20b
o2bo22bo10bo2bo11bo2bo10bo17bo2bo10bo2bo17bobo26bo11b2o20bobo18bobo$
21b3o3b2o19bobo10b2o158bo26b2o20b2o21bo19bobo8bobo23bo36b3o14bo26bo11b
o13bo12bobo17bo23b2o11bo14bo14bobo14bo13bo18bo14bo2bo13bobo9b3o19bo19b
o$21bo2bo24bo173bo71bo16b2o11bo24bobo24b2o24b2o23b2o12b2o12b2o12bo2bo
15b2o24bo10b2o13b2o14bo2bo12b2o12b2o18bobo12bobo14bobo32bo18bobo$22b2o
38bo158b2o26bo21bo21b2o18bobo34bobo24bobo10b3o10bobo23bo13bo13bo31bobo
23b3o8bobo12bobo29bobo11bobo17bo14bo17b4o8bobo19bobo16bo$62bobo156b2o
26bobo19bobo19b2o19bo36bo24b2o12b3o9b2o25b3o11b3o11b3o10b3o15b2o26bo8b
2o13b2o15b3o12b2o12b2o20bo14bo18bobo7b2o21bo19bo$62bobo158bo25bobo19bo
bo21bo134bo13bo13bo11b2o46bo38b2o49bobo12bobo16bobo8bo20b2o17b2o$63bo
186bo21bo104bo11b2o12bo28bo13bo13bo11bo16bo26b2o8bo14bo17bo13bo13bo21b
o14bo16bo11bobo19bobo15b2o$377bobo9b2o12bobo24b2o12b2o12b2o10b2o17bobo
24b2o8bobo12bobo13b2o14bobo11bobo18b2o13b2o16b2o10bobo20bo18bo$377bobo
11bo11bobo24b2o12b2o12b2o11bobo15bobo26bo7bobo12bobo14bobo12bobo11bobo
19bobo12bobo14bobo10bo$378bo25bo27bo13bo13bo11bo17bo36bo14bo16bo14bo
13bo21bo14bo16bo!

If you want to synthesize c/3 ships, you should probably start with the smaller ships in the above collection. The two 25-bit ships and the 34-bit ship are the only ones that have been synthesized.
-Matthias Merzenich
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Re: Small Spaceship Syntheses

Postby googleplex » March 25th, 2018, 9:46 am

Sokwe wrote:
googleplex wrote:has anyone tried synthesizing 54P3H1V0?

A good rule-of-thumb is that smaller objects are easier to synthesize. 54 cells is not particularly small for a c/3 ship. I suspect that synthesizing this ship is a bit beyond our reach at the moment.



This has a small bounding box, and the bottom half looks like a still life.
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Re: Small Spaceship Syntheses

Postby dvgrn » March 25th, 2018, 10:03 am

googleplex wrote:This has a small bounding box, and the bottom half looks like a still life.

Oddly enough, the small bounding box might be a disadvantage rather than an advantage. If you're doing a synthesis by adding sparks to an initial still life or oscillator (as people seem to be doing a lot these days) then it pays to have as much accessible surface area as possible, to have more space to add sparks. A long skinny 54-bit spaceship has more surface area than a circular-blob 54-bit spaceship.

That said... someday someone is going to figure out how to set up a predecessor search along the lines of JLS/WLS/lifesrch, but that prioritizes the "most still-life-like" predecessors instead of doing an exhaustive search. If predecessors can reliably be found that have the stable part toward the center and sparks or gliders more around the edges, then we might eventually be able to convert a lot of build-this-spaceship problems into build-this-constellation problems.

Of course it's always possible that inspired experimenting could produce a good partially stable predecessor... but the odds seem good that the same will be true of a lot of other currently un-buildable spaceships.
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Re: Small Spaceship Syntheses

Postby googleplex » March 25th, 2018, 10:32 am

kind of off topic, but what is the best way to run WLS/JLS/lifesrc on linux?
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Re: Small Spaceship Syntheses

Postby dvgrn » March 25th, 2018, 10:41 am

googleplex wrote:kind of off topic, but what is the best way to run WLS/JLS/lifesrc on linux?

JLS is certainly more user friendly than lifesrc, though slower. You'd have to compile lifesrc, then figure out the input format -- perfectly doable, but you won't have some of JLS's handy features.
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Re: Small Spaceship Syntheses

Postby googleplex » March 26th, 2018, 4:45 pm

Anyone up for 44P5H2V0?
#N 44P5H2V0
#O Dean Hickerson
#C The first 2c/5 spaceship to be discovered
#C http://www.conwaylife.com/wiki/index.php?title=44P5H2V0
x = 15, y = 11, rule = b3/s23
4bo5bo4b$3b3o3b3o3b$2bo2bo3bo2bo2b$b3o7b3ob$2bobo5bobo2b$4b2o3b2o4b$o
4bo3bo4bo$5bo3bo5b$2o3bo3bo3b2o$2bo2bo3bo2bo2b$4bo5bo!
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