Thread for your unsure discoveries

[M. I. Wright]

Er, no, a spaceship. Nobody says 'spaceship' when referring to gliders...

Also, the pattern's actual name is 'hat.'

[muzik]

Er, no, a spaceship. Nobody says 'spaceship' when referring to gliders...

Also, the pattern's actual name is 'hat.'

Gliders are diagonal c/4 spaceships, am I wrong?

[BlinkerSpawn]

Er, no, a spaceship. Nobody says 'spaceship' when referring to gliders...

Also, the pattern's actual name is 'hat.'

Gliders are diagonal c/4 spaceships, am I wrong?

Given the commonality of gliders, it's sort of an unwritten rule.

[fsrm]

Swan duplicating a glider:

Code: Select all

x = 35, y = 16, rule = B3/S23
12bo10b2o$11b5o6b2o$11bo2b2o8bo7b2o$13b2obo5b2o6b3obo$22b2o3bob2o$16bo
bo6b2o$21b3obo4bo$18b3o3bo4bo$19bo7bo$19bo6bo2$22bo2$2o$b2o$o!

[Xenonquark]

I have been enlightened of this 'Hat'. Thank you forums!

[mniemiec]

I have been enlightened of this 'Hat'. Thank you forums!

If the term 'hat' is new to you, you might learn some useful information by browsing the LifeWiki, or several of the links to popular Life sites (in the Forums, go to General Discussion, then Game of Life Links). The Life Lexicon should be particularly informative. Two sites I access frequently are H. Koenig's Game of Life Information (http://www.pentadecathlon.com/) and my object and synthesis page (http://codercontest.com/mniemiec/lifepage.htm) which includes a search page that lets you search for patterns by various criteria, including name, image, or other constraints.

[TheoSwartz]

Is this p12 agar known?

Here is the base component which I found years ago messing around with life in an 8x8 grid:

Code: Select all

 x = 6, y = 8, rule = B3/S23
3b2o$2bo2bo$3b2o$4bo$bo$b2o$o2bo$b2o!

Here is the tesselation:

Code: Select all

 x = 71, y = 69, rule = B3/S23
bo13bo3bo13bo3bo13bo3bo13bo$ob2o9b2obobob2o9b2obobob2o9b2obobob2o9b2ob
o$obo3bo3bo3bobobobo3bo3bo3bobobobo3bo3bo3bobobobo3bo3bo3bobo$bo3bobob
obo3bo3bo3bobobobo3bo3bo3bobobobo3bo3bo3bobobobo3bo$4b2obobob2o9b2obob
ob2o9b2obobob2o9b2obobob2o$6bo3bo13bo3bo13bo3bo13bo3bo4$6bo3bo13bo3bo
13bo3bo13bo3bo$4b2obobob2o9b2obobob2o9b2obobob2o9b2obobob2o$bo3bobobob
o3bo3bo3bobobobo3bo3bo3bobobobo3bo3bo3bobobobo3bo$obo3bo3bo3bobobobo3b
o3bo3bobobobo3bo3bo3bobobobo3bo3bo3bobo$ob2o9b2obobob2o9b2obobob2o9b2o
bobob2o9b2obo$bo13bo3bo13bo3bo13bo3bo13bo4$bo13bo3bo13bo3bo13bo3bo13bo
$ob2o9b2obobob2o9b2obobob2o9b2obobob2o9b2obo$obo3bo3bo3bobobobo3bo3bo
3bobobobo3bo3bo3bobobobo3bo3bo3bobo$bo3bobobobo3bo3bo3bobobobo3bo3bo3b
obobobo3bo3bo3bobobobo3bo$4b2obobob2o9b2obobob2o9b2obobob2o9b2obobob2o
$6bo3bo13bo3bo13bo3bo13bo3bo4$6bo3bo13bo3bo13bo3bo13bo3bo$4b2obobob2o
9b2obobob2o9b2obobob2o9b2obobob2o$bo3bobobobo3bo3bo3bobobobo3bo3bo3bob
obobo3bo3bo3bobobobo3bo$obo3bo3bo3bobobobo3bo3bo3bobobobo3bo3bo3bobobo
bo3bo3bo3bobo$ob2o9b2obobob2o9b2obobob2o9b2obobob2o9b2obo$bo13bo3bo13b
o3bo13bo3bo13bo4$bo13bo3bo13bo3bo13bo3bo13bo$ob2o9b2obobob2o9b2obobob
2o9b2obobob2o9b2obo$obo3bo3bo3bobobobo3bo3bo3bobobobo3bo3bo3bobobobo3b
o3bo3bobo$bo3bobobobo3bo3bo3bobobobo3bo3bo3bobobobo3bo3bo3bobobobo3bo$
4b2obobob2o9b2obobob2o9b2obobob2o9b2obobob2o$6bo3bo13bo3bo13bo3bo13bo
3bo4$6bo3bo13bo3bo13bo3bo13bo3bo$4b2obobob2o9b2obobob2o9b2obobob2o9b2o
bobob2o$bo3bobobobo3bo3bo3bobobobo3bo3bo3bobobobo3bo3bo3bobobobo3bo$ob
o3bo3bo3bobobobo3bo3bo3bobobobo3bo3bo3bobobobo3bo3bo3bobo$ob2o9b2obobo
b2o9b2obobob2o9b2obobob2o9b2obo$bo13bo3bo13bo3bo13bo3bo13bo4$bo13bo3bo
13bo3bo13bo3bo13bo$ob2o9b2obobob2o9b2obobob2o9b2obobob2o9b2obo$obo3bo
3bo3bobobobo3bo3bo3bobobobo3bo3bo3bobobobo3bo3bo3bobo$bo3bobobobo3bo3b
o3bobobobo3bo3bo3bobobobo3bo3bo3bobobobo3bo$4b2obobob2o9b2obobob2o9b2o
bobob2o9b2obobob2o$6bo3bo13bo3bo13bo3bo13bo3bo4$6bo3bo13bo3bo13bo3bo
13bo3bo$4b2obobob2o9b2obobob2o9b2obobob2o9b2obobob2o$bo3bobobobo3bo3bo
3bobobobo3bo3bo3bobobobo3bo3bo3bobobobo3bo$obo3bo3bo3bobobobo3bo3bo3bo
bobobo3bo3bo3bobobobo3bo3bo3bobo$ob2o9b2obobob2o9b2obobob2o9b2obobob2o
9b2obo$bo13bo3bo13bo3bo13bo3bo13bo!

Is there a way to stabilize this? It's been driving me crazy ever since I found the base.

Also, in a separate but related matter, if anyone could teach me how to set up a scene with "looping" bounds in Golly, I would really appreciate it! I'm a Golly newb.

[BlinkerSpawn]

Also, in a separate but related matter, if anyone could teach me how to set up a scene with "looping" bounds in Golly, I would really appreciate it! I'm a Golly newb.

Press A (or is it Ctrl-A?) and then Ctrl-X to move your pattern to the clipboard.
In the dialog box that specifies the rule, after the rule type :T, the x-dimension of the bounded grid, a comma, and the y-dimension. (No spaces)
Verify the rule change, exit the rule screen, and paste your pattern into the non-grey portion of the universe.

[TheoSwartz]

Thanks BlinkerSpawn, it worked and I now have a wonderful little board of them. They make a cool pattern.

[muzik]

A B-heptomino almost shuttle in life history. Instead of flipping its sides it continues, and crashes into a grey cell.

Code: Select all

x = 6, y = 11, rule = LifeHistory
4.F$F5$2.2A.A$2.A2.A$3.3A$.F$5.F!

[dvgrn]

A B-heptomino almost shuttle in life history. Instead of flipping its sides it continues, and crashes into a grey cell.

Inventive use of the boundary gray cells turns B3/S23 Life into a completely different rule. To keep things at least vaguely organized, please don't post non-Life patterns to threads on the "Game of Life" board. The same request applies to your Useless Discoveries posting, four minutes later.

There's a dedicated thread for Life-with-gray-cells patterns on the Other Cellular Automata board. That's more for posting mechanisms that actually work, though -- there isn't an "unsure" thread for Life-with-gray-cells, presumably because a lot fewer people would be interested.

[muzik]

A B-heptomino almost shuttle in life history. Instead of flipping its sides it continues, and crashes into a grey cell.

Inventive use of the boundary gray cells turns B3/S23 Life into a completely different rule. To keep things at least vaguely organized, please don't post non-Life patterns to threads on the "Game of Life" board.

There's a dedicated thread for Life-with-gray-cells patterns on the Other Cellular Automata board. That's more for posting mechanisms that actually work, though -- there isn't an "unsure" thread for Life-with-gray-cells, presumably because a lot fewer people would be interested.

There isn't an unsure for anything actually. Having one for every single thread would be messy, so should I make a "universal unsure" thread?

[dvgrn]

There isn't an unsure for anything actually. Having one for every single thread would be messy, so should I make a "universal unsure" thread?

Well, I personally would rather you didn't.

Between "unsure" and "useless" threads we already see an awful lot of constructions that took people about three minutes to invent... but not very many discoveries that are ever used or looked at again by anyone -- including the original discoverers. A "universal unsure" thread seems like it would be a step in the wrong direction, mixing completely unrelated rules and patterns together indiscriminately.

Instead, maybe a good rule of thumb would be to wait a day, and then post the pattern if it still seems interesting. If dozens of more-interesting patterns have turned up in the meantime, then collect them all into one post, or just post the most interesting one. Otherwise you just end up flooding the forums and overloading your potential audience.

[rmmh]

c/4 orthogonal spaceship, minimum population 68 cells, period 4. Looks like a face:

Code: Select all

x = 45, y = 28, rule = B3/S23
9$16b3o8b3o2$16bo3bo4bo3bo$17bo2bo4bo2bo$18b2o6b2o$21b4o$17b2ob6ob2o$
17bo10bo$14b2o2b3ob2ob3o2b2o$11bo2b2o6b2o6b2o2bo$15b2o12b2o$11b3o2b2o
10b2o2b3o!

Found with "gfind B3/S23/o4/n1/l100/v" -- it seems trivial. Is there a proper pattern search engine that combines all the different sources?

[Sokwe]

Is there a proper pattern search engine that combines all the different sources?

The closest thing is probably Mark Niemiec's searchable database, but this is mostly for still lifes and low-period oscillators. For most patterns, you're still unfortunately stuck with looking through pattern collections, the wiki, and random forum posts.

Your spaceship is new. I have made an attempt to collect the smallest spaceships of a few speeds, which can be found here.

Here is the updated collection of small c/4 orthogonal spaceships (including your ship and two ships that should have been in the previous update):

Code: Select all

x = 896, y = 515, rule = B3/S23
162bobo$162bo3bo19bo$162bo2b2o17bo2b2o$30bo133bobo15b3o$28bo2b2o133bo
14bobo$26b3o136b2obo12bob2o$25bobo138bobo11bo4bo$25bob2o135bo14b2o$obo
bo3bobobo11bo4bo110bobobo3bobobo10b2o$23b2o153bo4b2o$4bo7bo127bo7bo13b
2o2b2o14bo$22bo4b2o133b3ob2o11b3o$obobo7bo13bo113bobobo3bobobo12bob2o
12bo$23b3o138b2o16bo$4bo7bo12bo118bo3bo3bo11bo16b2ob2o$26bo137bob2o12b
2o2bo$obobo7bo12b2o113bobobo3bobobo11bo3bo11b2o3bo$26bo137bo14bobo3b2o
$26b2o137bo13b2o4b2o$23bo2b2o141bobo8b3obo$21b2o3bo139b2o3bo9b2ob3o$
23bo141bobo3bo7bo$165b2obo10bo$161bobo15bobo$161bo$161bobo7$35bo$26b3o
4bobo$o3bo4bo11bo2b2o4b2obobo$21b2o7bo$o3bo4bo11bo3bo6b3o152bo$26b2o4b
o2bo144bobob2obo25bobobo18bo24bo24bo24bo24bo$obobo4bo21b2o2bo142bo3bob
o26bo3bob2obo13bo2b2o20bo2b2o20bo2b2o20bo2b2o20bo2b2o$28b3o4bo141bo32b
o9bo11b3o22b3o22b3o22b3o22b3o$4bo4bo25bo140bo3b2o27bo3b2o16bobo22bobo
22bobo22bobo22bobo$34b2o140bob2o29bob2o18bob2o21bob2o21bob2o21bob2o21b
ob2o$4bo4bo22bo2b2o103bobobo3bobobo24bo32bo19bo4bo19bo4bo19bo4bo19bo4b
o19bo4bo$30b2o143bo32bo20b2o23b2o23b2o23b2o23b2o$32bo107bo11bo21bobo
30bobo$171bo2bobo27bo2bobo18bo4b2o18bo4b2o18bo4b2o18bo4b2o18bo4b2o$
140bobobo7bo17bobo30bobo26bo24bo24bo24bo24bo$169bo2bo29bo2bo23b3o22b3o
22b3o22b3o22b3o$144bo7bo17bo32bo27bo24bo24bo24bo24bo$161bo2b2o5b2o21bo
2b2o5b2o26bo12bo11bo24bo24bo24bo$140bobobo7bo8b2o2bo5bo22b2o2bo5bo26b
2o7bo2b3o10b2o7bo2b2o11b2o23b2o23b2o$161bo3b3o2b2o22bo3b3o2b2o27bo7bo
2b2o12bo7bo2b3o11bo24bo24bo$165b2obo3bo25b2obo3bo26b2ob2o3bo16b2ob2o3b
o4bo11b2o23b2o23b2o$166bo4bo27bo4bo24bo2b2obob3o14bo2b2obob3o14bo2b2o
3bo16bo2b2o3bo16bo2b2o$167b2o31b2o25b2o3bo3b4o12b2o3bo3b4o12b2o3bo3b4o
12b2o3bo3b4o12b2o3bo3bobo$30bo137bo3bo28bo3bo23bo7bo16bo7bo16bo5bob3o
14bo5bob3o14bo8bo3bo$28bo2b2o136bo2bo29bo2bo79b2o3bo4bo14b2o3bo19b2ob
3obo$26b3o141bobo30bobo84bo2b3o19bo2b2o15bo6bo$25bobo262bo2b2o20bo2b3o
12bo6b3o$25bob2o291bo12b2o6bo$o3bo3bobobo11bo4bo303bo$23b2o$o3bo7bo$
22bo4b2o$obobo3bobobo13bo$23b3o$4bo7bo12bo$26bo4bo$4bo3bobobo12b2ob2ob
o$24bo3bo145bo$24b4o144bo2b2o$21bo3b2o143b3o$21b2o$21bo149b2o$166b4o2b
o24bo35bo35bo35bo35bo34bo13bo$163bob3o3b3o14b3o4bobo26b3o4bobo26b3o4bo
bo26b3o4bobo26b3o4bobo5b2obobo14b3o4bobo5b2obob2obo$140bobobo3bobobo9b
2o7b4o8bo2b2o4b2obobo21bo2b2o4b2obobo21bo2b2o4b2obobo21bo2b2o4b2obobo
14bo6bo2b2o4b2obobo3bo4bob2obo6bo2b2o4b2obobo3bo4bobo$174bo8b2o7bo26b
2o7bo26b2o7bo11b2obobo9b2o7bo11b2obob2obo6b2o7bo7bo10bo6b2o7bo7bo$140b
o7bo3bo9bob2obo15bo3bo6b3o22bo3bo6b3o22bo3bo6b3o5bo4bob2obo6bo3bo6b3o
5bo4bobo9bo3bo6b3o3bo3b2o12bo3bo6b3o3bo3b2o$162b2o3bo20b2o4bo2bo26b2o
4bo2bo26b2o4bo2bo3bo10bo11b2o4bo2bo3bo22b2o4bo2bo3b3o19b2o4bo2bo3b3o$
140bobobo3bobobo14bo25b2o2bo31b2o2bo31b2o2bo3bo3b2o22b2o2bo3bo3b2o22b
2o2bo30b2o2bo$162b2o26b3o4bo4b3o21b3o4bo4b3o21b3o4bo4b3o21b3o4bo4b3o
21b3o4bo27b3o4bo$144bo3bo3bo9bo34bo3bo3b2o26bo3bo3b2o26bo35bo35bo34bo$
162b3o31b2o3bo10bo19b2o3bo30b2o34b2o34b2o33b2o$140bobobo3bobobo10b2o3b
o25bo2b2o3bo4bob2obo17bo2b2o3bo4bobo20bo2b2o31bo2b2o31bo2b2o30bo2b2o$
74bo94bo22b2o10b2obobo18b2o10b2obob2obo15b2o34b2o34b2o33b2o$37bobobo
25bobob2obo91b2o26bo35bo17bo17bo35bo35bo34bo$35bo3bob2obo20bo3bobo93bo
b2o$o3bo3bobobo21bo9bo19bo100b2o$33bo3b2o24bo3b2o92bobo$o3bo3bo24bob2o
26bob2o94bo$22b2ob2o7bo17b2ob2o7bo96bobo$obobo3bobobo8b3o8bo18b3o8bo$
22b2obo2bo2bobo18b2obo2bo2bobo$4bo7bo18bobo27bobo$26b2obo26b2obo$4bo3b
obobo15b2o28b2o$28b3o27b3o$30bo2b2o25bo2b2o$32bo29bo3$181bo$180bobo$
180bobo$180bo2$180bobo2$178b3o$140bobobo3bobobo24bo$176b2obo$140bo7bo
3bo27bo$27b3o23bo126bo$25b2o3bo21bobo85bobobo3bobobo22bobo$23bo27b2o
119bob2o$21b2o3bo3bo22bo90bo7bo17b2ob2o$23bo2bo3bo22bo116b2ob2o$o3bo3b
obobo12b2o113bobobo3bobobo20bo$26bo3bo21b2o107bob2o6bobo$o3bo3bo17bo3b
o19b2o109bo3b2o$26b3o19b2o2bo108bob2o6bobo$obobo3bobobo35b3o115b3ob2ob
o$26b3o8bo2b2o9b2o114bob2o$4bo3bo3bo13bo3bo6b2o2bo$26bo3bo6bo3b3o2b3o
119bobo$4bo3bobobo12b2o14b2obo2b2o121b2obo$23bo2bo3bo11bo130bo$21b2o3b
o3bo12b2o$23bo20bo3bo$25b2o3bo14bo2bo$27b3o16bobo7$164bobo29bobo$162b
2o3b2o27bo3bo$162bobo31bo4b2o$164bo33bo3bo2b2o$161bo37b2o3bo$161b2o3bo
$140bobobo4bo19b2o24b4o$164b2o3bo23b2obo2bo$140bo8bo15bobo4b2o19b4o2bo
$22b2o29b2o110b7obo23bo$o3bo3bobobo8b3o20bo7b3o85bobobo4bo14bo$22bo20b
o9bo15b2o94b7obo17b3o$o3bo7bo10b2ob2o15b2o9b2ob2o10b3ob2obo63bo3bo4bo
15bobo4b2o17b3o$28bo5bo6bo17bo5bob3o6bo87b2o3bo10bo2b2o$obobo7bo10b2o
7bobob3o6bo8b2o7bobo6bo67bobobo4bo19b2o9b2o2bo$24bo6bobo4b3ob2obo9bo6b
obo9b2o85b2o3bo13bo3b3o2b3o$4bo7bo12bo2bo9b2o16bo2bo14bo86bo22b2obo2b
2o$26bobobob2o23bobobob2o10bo88bo20bo$4bo7bo12b2o3bo25b2o3bo100bobo21b
2o$27bo30bo103b2o3b2o18bo3bo$164bobo21bo2bo$189bobo11$26bo146bo$26b2o
143b2o96b2o31b2o$26bo146bo94bo32bo5bo$28bo146bobo15bo3b2o27bo3b2o35b2o
b3o27b2ob3o2b2o$28bo145bo2bo13bo2b2obobo24bo2b2obobo31b7obo2b2o20b7obo
105b2o34b2o$27b2o18bo126bo2bo11b3o6bo3bo19b3o6bo3bo5bo22bo3bo5bo22bo3b
o108bobo4bo28bobo$45b2o127bobo11bobo7b7obo14bobo7b7obo2b2o15bo3bobo26b
o3bobo35bo35bo36bo2bob2obobo25bo2bob2obobo$29bo17bo128bo11bob2o9b2ob3o
2b2o10bob2o9b2ob3o17bo2b2ob2o25bo2b2ob2o32bo3bo31bo3bo39b2o3bobo28b2o
3bobo$o3bo3bobobo15bobo9bo8bobo88bobobo3bobobo34bo4bo9bo5bo11bo4bo9bo
19b3o30b3o30b3o4bobo2bo23b3o4bobo2bo36b2obo32b2obo7bo$27b4o9b2o6bo2bo
121bobo10b2o15b2o14b2o15b2o16bobo30bobo26bo2b2o4b2obobo3b2obo14bo2b2o
4b2obobo3b2obo7bo20bo2bo32bo2bo$o3bo3bo3bo10b2o2bo12bo7bo2bo88bo11bo
16b3ob2obo77bob2o29bob2o25b2o7bo12b2o3bobo6b2o7bo12b2o3bobo11b3o4bobo
3bo22b3o4bobo3bo$23b2obobo13bo5bobo119bob2obo9bo4b2o26bo4b2o28bo4bo27b
o4bo24bo3bo6b3o5bo2bob2obobo6bo3bo6b3o5bo2bob2obobo6bo2b2o4b2obobo3bo
17bo2b2o4b2obobo3bo$obobo3bobobo10b2o2bo14bo7bo89bobobo3bobobo14bo2bob
o16bo32bo29b2o31b2o34b2o4bo2bo7bobo4bo11b2o4bo2bo7bobo11b2o7bo26b2o7bo
$22b2o17b2o122bo2bo2b2o13b3o30b3o104b2o2bo8b2o21b2o2bo8b2o11bo3bo6b3o
22bo3bo6b3o$4bo3bo3bo8bo17bo2bo2bobo92bo3bo3bo15bo2bo2bo17bo32bo29bo4b
2o26bo4b2o32b3o4bo28b3o4bo26b2o4bo2bo26b2o4bo2bo$21bo5bo9b2o6bob2o115b
o3bob3o16bo32bo32bo32bo41bo35bo31b2o2bo31b2o2bo$4bo3bobobo9bob3o12bo5b
4o91bobobo3bobobo12b3obo2bo15b2o31b2o29b3o30b3o41b2o34b2o28b3o4bo28b3o
4bo$27bo13b4o120bobo21bo32bo31bo32bo39bo2b2o31bo2b2o34bo35bo$24b4o18bo
3bo113b2o23b2o31b2o31bo32bo36b2o34b2o38b2o34b2o$24bo2bo18b5o135bo2b2o
28bo2b2o30b2o31b2o38bo35bo35bo2b2o31bo2b2o$27bo19b2o112b2o3bo17b2o3bo
27b2o3bo32bo32bo108b2o34b2o$26bo134bo24bo32bo35b2o31b2o109bo35bo$26bob
o135bo87bo2b2o28bo2b2o$26bobo133bobo85b2o3bo27b2o3bo$27bo134b2o3b2o83b
o32bo$164bobo7$183bo$182bobo$182bobo$59bo122bo$32b2o24bobo$31bo26bobo
121bobo23bo36bo$31b2o25bo148bobo34bobo$31b2o147b3o24bobo34bobo$26b4obo
26bobo118bo27bo36bo$23bob3o150b2obo$obobo3bobobo9b2o7b2o23b3o81bobobo
3bobobo29bo24bobo34bobo$55bo126bo$o7bo3bo9bob2obo26b2obo82bo11bo24bo
27b3o3b3o28b3o3b3o$22b2o3bo30bo117b2obo24bo5bo3b2o25bo5bo3b2o$obobo3bo
3bo14bo30bo81bobobo3bobobo50b2obo3bo29b2obo3bo10bo$22b2o29bo139bob2o
10bo3bo4bobo11bob2o10bo3bo4bob2obo$4bo3bo3bo9bo29b2obo84bo3bo7bo22bobo
13b2o3bo10bo5b2obob2obo6b2o3bo10bo5b2obobo$22b3o17bob2o126bob2o17bobo
6bobo16bo8bobo6bobo$obobo3bobobo10b2o3bo11b2o3bo94bobobo3bobobo17b2ob
2o22b3ob2o31b3ob2o$29bo12bobo6bobo116b2ob2o22b2ob2o32b2ob2o$26b2o18b3o
b2o121bo25bobo34bobo$25bob2o17b2ob2o110bob2o6bobo26b3o34b3o$25b2o21bob
o110bo3b2o33b4o33b4o$21bobo25b3o109bob2o6bobo29bo36bo$21bo27b4o113b3ob
2obo$21bobo28bo114bob2o2$168bobo$170b2obo$173bo7$24bo3bo$23bob2obo$23b
obo143bo$24bo142bo2b2o$22b2o141b3o68bo$22b2o140bobo60b3o4bobo$26bob2o
134bob2o44bo9bo2b2o4b2obobo33bo36bo36bo36bo36bo36bo36bo36bo$25b2o9bobo
25bobo96bo4bo41b2o10b2o7bo29b3o4bobo27b3o4bobo27b3o4bobo27b3o4bobo27b
3o4bobo27b3o4bobo27b3o4bobo9bo17b3o4bobo9bo$obobo4bo26bo27bo75bobobo3b
o3bo9b2o38bo9bo9bo3bo6b3o20bo2b2o4b2obobo22bo2b2o4b2obobo22bo2b2o4b2ob
obo22bo2b2o4b2obobo22bo2b2o4b2obobo9bo12bo2b2o4b2obobo9bo12bo2b2o4b2ob
obo9b2o4bo6bo2b2o4b2obobo9b2o$25b2obo7bobo2bo2bo19bobo2bo2bo120b3o4bob
o11bo12b2o4bo2bo19b2o7bo27b2o7bo27b2o7bo27b2o7bo27b2o7bo14b2o4bo6b2o7b
o14b2o11b2o7bo10b2obobo2b3o6b2o7bo10b2obobo2b2o$o8bo15b2obo10bo27bo72b
o7bo3bo8bo4b2o20bo2b2o4b2obobo10bo18b2o2bo19bo3bo6b3o23bo3bo6b3o23bo3b
o6b3o23bo3bo6b3o23bo3bo6b3o6b2obobo2b3o6bo3bo6b3o6b2obobo2b2o7bo3bo6b
3o6b3o2bo2b2o7bo3bo6b3o6b3o2bo2b3o$27bo12bob2obo22bob2obo91bo22b2o7bo
8b3o4bobo13b3o4bo4bo3bo15b2o4bo2bo27b2o4bo2bo27b2o4bo2bo4bo22b2o4bo2bo
4bo22b2o4bo2bo5b3o2bo2b2o12b2o4bo2bo5b3o2bo2b3o11b2o4bo2bo3b2o2bo19b2o
4bo2bo3b2o2bo7bo$obobo4bo14bo2b2o12b3obo23b3obo66bobobo3bobobo9b3o23bo
3bo6b3o11b2o21bo3bobobobo19b2o2bo4bo27b2o2bo4bo27b2o2bo3bobo26b2o2bo3b
obo26b2o2bo3b2o2bo24b2o2bo3b2o2bo7bo16b2o2bo32b2o2bo$25b3o12bo4bo2bob
2o16bo4bo2bob2o84bo28b2o4bo2bo2bo2bobo3bo20b2o2bo2bobo3bo14b3o4bo3bobo
23b3o4bo3bobo23b3o4bo29b3o4bo29b3o4bo29b3o4bo29b3o4bo3bobo23b3o4bo3bob
o$4bo4bo27bo3b2o3bob4o13bo3b2o3bob4o60bo3bo7bo13bo31b2o2bo3bobobobo20b
o2b2o9b2o21bo36bo36bo3b2o2bo28bo3b2o2bo7bo20bo3bobo30bo3bobo30bo4bo31b
o4bo$24bo12b2o2bo2bob2o4bo12b2o2bo2bob2o4bo4bo80bo28b3o4bo4bo3bo19b2o
7b3o4bobo19b2o3b2o2bo27b2o3b2o2bo7bo19b2o5b3o2bo2b2o20b2o5b3o2bo2b3o
19b2o4bo30b2o4bo30b2o35b2o$obobo4bo14b2o11bo8b2o4bo2b2o8bo8b2o4bo2b3o
54bobobo7bo12bo8b2o26bo30bo13bo19bo2b2o4b3o2bo2b2o18bo2b2o4b3o2bo2b3o
17bo2b2o4b2obobo2b3o17bo2b2o4b2obobo2b2o18bo2b2o32bo2b2o32bo2b2o32bo2b
2o$23bo2b2o14b2o3b2o3bo2b3o12b2o3b2o3bo2b2o80bobo6b4ob3o19b2o45bo16b2o
9b2obobo2b3o15b2o9b2obobo2b2o16b2o13b2o4bo15b2o13b2o20b2o35b2o35b2o35b
2o$25bobo29bo107bo2b3o6bobo19bo2b2o42bo20bo12b2o4bo17bo12b2o22bo12bo
23bo12bo23bo36bo36bo36bo$21b2o3bo143bo3bo4bo17b2o45b2o34bo36bo$22b3o
144bob3obobob3o17bo46bo$23b2o145b2o2b4o$26bo147bo2bo$24bobo$25bo9$22bo
$22b2o2b2o266bo$22bo2bo268b2o$25bo268bo$170bo31bo31bo31bo29bo$25b3o
140bo2b2o27bo2b2o27bo2b2o27bo2b2o27bo$26bo139b3o29b3o29b3o29b3o30b2o$
23bobo139bobo29bobo29bobo29bobo$22bo14bo127bob2o28bob2o28bob2o28bob2o
32bo$obobo3bobobo9bo3bo8b2o17bobo83bobobo3bobobo11bo4bo26bo4bo26bo4bo
26bo4bo30bobo$21b2obobo10bo10b2o2b2o2bo106b2o30b2o30b2o30b2o34b4o$o11b
o11bo3bo10b5o3b3o6bo83bo7bo95bo31bo14b2o2bo$23b2ob2o12bo4bo4bobo109bo
4b2o25bo4b2o25bo4b2o9b2o6bo7bo4b2o9b2o15b2obobo$obobo3bobobo10b2obo13b
o4bob3o2bo87bobobo3bobobo13bo31bo31bo9bo4bob2obo11bo9bo4bobo11b2o2bo$
26b2o12bo4bo6b2o109b3o29b3o29b3o9b3o3bobo11b3o9b3o3bob2obo7b2o$4bo7bo
9bo3b2o11b2obo3b3o3b3o85bo3bo7bo12bo31bo31bo8bo4bo17bo8bo4bo6bo6bo$26b
o14bo4b3o117bo4bob3o22bo4bob3o22bo4bob2obo21bo4bob2obo16bo5bo$obobo3bo
bobo10b3o17b2o2b2o91bobobo3bobobo12b2ob2obob2obo20b2ob2obob2obo20b2ob
2obob3o21b2ob2obob3o18bob3o6b2obobo$25bo18b2o118bo3bo5bo4bo16bo3bo5bo
4bo6bo9bo3bo27bo3bo30bo3bo4bob2obo$26bo137b4o7b3o3bobo12b4o7b3o3bob2ob
o9b4o28b4o28b4o2bo10bo$25b2o134bo3b2o9bo4bob2obo6bo3b2o9bo4bobo9bo3b2o
26bo3b2o29bo2bo2bo3b2o$26bo134b2o15b2o6bo6b2o15b2o13b2o30b2o36bo3b3o$
26b2o133bo18bo12bo18bo12bo31bo36bo$23bo2b2o266bobo$21b2o3bo267bobo$23b
o271bo8$23bo$21b2o$23bo$25bobo$24bo2bo$24bo2bo$24bobo25bobo$26bo25bo3b
o$24b2o26bo4b2o12b2o129bo32bo$24b2o28bo3bo2b2o7b3o5bobo4b2o84b2obo18b
3o4bobo23b3o4bobo$obobo3bobobo15bob2o23b2o3bo10bo6bo7bo2bo50bobobo3bob
obo14b3obob3o12bo2b2o4b2obobo8b2obo6bo2b2o4b2obobo$27b2o43bo5bo2b3o5bo
73bobo10bo3b2o6b2o7bo12bob3o6b2o7bo$o7bo42b4o18b2o5bo5bo2bo50bo7bo12b
2o4b2o5bo3b4o6bo3bo6b3o8b2o9bo3bo6b3o$27b2obo18b2obo2bo16b3o10b2o76bob
2o2bo4b3obo14b2o4bo2bo6bobo14b2o4bo2bo6b2o$obobo3bobobo14b2obo18b4o2bo
13bo2b2o4b2o60bobobo3bobobo16bo4bo23b2o2bo3b3ob3o18b2o2bo4b3obo$29bo8b
o2b2o10bo15b2o4b2o86bob2o2bo4b3obo16b3o4bo3bo4bo16b3o4bo3bo4bo$4bo7bo
13bo2b2o7b2o2bo26bo3b2obo2bo60bo3bo3bo3bo8b2o4b2o5bo3b4o20bo4b3obo23bo
3b3ob3o$27b3o8bo3b3o2b3o23b3o87bobo10bo3b2o19b2o6b2o23b2o6bobo$obobo3b
obobo29b2obo2b2o23b2ob2obobo58bobobo3bobobo14b3obob3o23bo2b2o28bo2b2o
6b2o$26bo16bo33bo3bo89b2obo22b2o31b2o11bob3o$26b2o16b2o31bo121bo32bo
11b2obo$25bo2b2o15bo3bo$27bobo16bo2bo$23b2o3bo18bobo$24b3o$25b2o$28bo$
26bobo$27bo38$819bobo$564bo31bo94bo32bo35bo38bo19bo$39b2o523b2o4bo25b
2o92bobo30bobo33bobo36bobo18bo2bo$39b2o382bo44bo26bo31bo32b2obobo2b3o
21b2obobo2b2o23bo32bo30b2o31b2o35bobo36bobo20bo3bo$39bo203bo44bo132b2o
6bo36b2o23bo2bobo26bo2bobo31b3o2bo2b2o22b3o2bo2b3o21bobo30bobo31bo32bo
34bo38bo24bobo16bo30bo$36bo2bo201b2o6bo36b2o36bob3o40bob3o45bo4bob2obo
34bo4bobo16b4o28b4o34b2o2bo27b2o2bo7bo20b2o31b2o33bo32bo96b2o19b2o6bo
22b2o6bo$33bo4bo98bobobo40bobobo52bo4bob2obo34bo4bobo25bobob2obob2obo
32bobob2obob2obo43b3o3bobo36b3o3bob2obo13b3o3b2o2bo21b3o3b2o2bo7bo16bo
31bo37bo32bo100bobo36bobo20b3o18bo6b3o21bo6b3o$29b2o2b2ob3obo94bo3bob
2obob3o31bo3bob2obob3o44b3o3bobo36b3o3bob2obo20bo3bobo5bo4bo27bo3bobo
5bo4bo6bo32bo4bo39bo4bo6bo10b2o2bo6b3o2bo2b2o11b2o2bo6b3o2bo2b3o13b4o
2bobo23b4o2bobo32bo32bo31b2o31b2o119bo6bo23bo6bo$obobo3bobobo15bo2bo6b
2o21b2o35b2o34bo9bob2obo29bo9bob2obo32bobobo5bo4bo29bobobo5bo4bo6bo19b
o13b3o3bobo22bo13b3o3bob2obo29bob2obo39bob2obo19bo3b2o6b2obobo2b3o9bo
3b2o6b2obobo2b2o14b3o4bo24b3o4bo96b2o31b2o34b3o3b3o30b3o3b3o16b2o21b2o
b3obo23b2ob3obo$21b4obo25bo3b3o2b3o25bo3b3o2b3o32bo3b2o8bo4bo25bo3b2o
8bo4bo6bo20bo3bob2obob2obo30bo3bob2obob2obo28bo3b2o10bo4bob2obo18bo3b
2o10bo4bobo25bobob2obob3o33bobob2obob3o23b3o10b2o4bo12b3o10b2o15b2o2bo
27b2o2bo38b2o31b2o27b2o2bo28b2o2bo32bo5bo3b2o27bo5bo3b2o14b2o3bo20bo3b
o26bo3bo$o11bo8bo2b4obo20b2obo4bo2b2obobo4bo15b2obo4bo2b2obobo4bo24bob
2o11b3o3bobo21bob2o11b3o3bob2obo19bo9bob3o30bo9bob3o29bob2o14b2o6bo18b
ob2o14b2o27bo3bobo38bo3bobo26bo2bo13bo14bo2bo13bo15bo3b2o26bo3b2o36b2o
31b2o29b3o30b3o33b2obo3bo31b2obo3bo10bo16b2o10b2o2bobo24b2o2bobo$47bob
ob2o3b2o5b3o6bo11bobob2o3b2o5b3o6bo12b2ob2o7bo14bo4bob2obo7b2ob2o7bo
14bo4bobo21bo3b2o39bo3b2o28b2ob2o7bo18bo13b2ob2o7bo18bo25bo44bo34b2o
30b2o33b3o29b3o34b2o2bo28b2o2bo17bo2b2o9b2o17bo2b2o9b2o35bo3bo4bobo27b
o3bo4bob2obo11b2o3bo10b3o28b3o20bo$obobo7bo8b3o23bo7bo3b3obo3b4obo11bo
7bo3b3obo3b4obo4bo6b3o8bo18b2o6bo6b3o8bo18b2o25bob2o41bob2o29b3o8bo33b
3o8bo45bo3b2o39bo3b2o30bobobo27bobobo26bo2bo28bo2bo37b3o30b3o19b2o2bo
28b2o2bo46bo5b2obob2obo24bo5b2obobo15bobo4b2o7bo15b2o13bo20bo$47bo4b2o
b2o4bo4b2o3b3obobo6bo4b2ob2o4bo4b2o3b3obobo7b2obo2bo2bobo19bo13b2obo2b
o2bobo19bo13b2ob2o7bo32b2ob2o7bo32b2obo2bo2bobo33b2obo2bo2bobo44bob2o
41bob2o32bo3bo27bo3bo27b2o30b2o27bo2b2o9b2o17bo2b2o9b2o17bo3b3o2b3o21b
o3b3o2b3o34bo18bo19bo31b7obo8b2ob2o10b3ob2obo8b2ob2o15b2o$o3bo7bo8bo2b
4obo19b2obobo11bo8bobo8b2obobo11bo8bobo16bobo42bobo32b3o8bo33b3o8bo43b
obo42bobo33b2ob2o7bo32b2ob2o7bo34bo31bo31bobobo27bobobo24b2o2bo28b2o2b
o32b2obo2b2o25b2obo2b2o33b2obo35b2obo28bo22bo5bob3o6bo13bo5bo6bo$21b4o
bo26b2o22bo12b2o34b2obo41b2obo37b2obo2bo2bobo33b2obo2bo2bobo37b2obo41b
2obo36b3o8bo33b3o8bo37bo31bo30bo3bo27bo3bo24bo3b3o2b3o8b2o11bo3b3o2b3o
8b2o16bo32bo29bob2o35bob2o39b7obo8b2o7bobo6bo12b2o7bobob3o6bo$obobo7bo
15bo2bo6b2o14b4o33b4o33b2o43b2o46bobo42bobo39b2o43b2o37b2obo2bo2bobo
33b2obo2bo2bobo40bobo29bobo24bo31bo32b2obo2b2o7bobo4bo10b2obo2b2o7bobo
17b2o31b2o25b2o3bo33b2o3bo39bobo4b2o9bo6bobo9b2o10bo6bobo4b3ob2obo$29b
2o2b2ob3obo15bo36bo34b3o42b3o40b2obo41b2obo43b3o42b3o45bobo42bobo37b2o
3bo26b2o3bo25bo31bo32bo10bo2bob2obobo11bo10bo2bob2obobo13bo3bo3bo24bo
3bo3bo19bobo6bobo27bobo6bobo30b2o3bo14bo2bo14bo12bo2bo9b2o$33bo4bo91bo
2b2o40bo2b2o38b2o43b2o45bo2b2o40bo2b2o36b2obo41b2obo40bobo3bo25bobo3bo
29bobo29bobo27b2o11b2o3bobo12b2o11b2o3bobo14bo2bo3bo25bo2bo3bo23b3ob2o
33b3ob2o37b2o14bobobob2o10bo12bobobob2o$36bo2bo92bo44bo40b3o42b3o46bo
44bo40b2o43b2o40b2obo28b2obo29b2o3bo26b2o3bo28bo3bo3b2obo21bo3bo3b2obo
7bo15bobo2bo27bobo2bo24b2ob2o34b2ob2o30b2o3bo17b2o3bo25b2o3bo$39bo180b
o2b2o40bo2b2o128b3o42b3o35bobo29bobo33bobo3bo25bobo3bo29bo2bo2bo26bo2b
o2bo33b2obo29b2obo7bo14bobo36bobo30bo24bo30bo$39b2o181bo44bo132bo2b2o
40bo2b2o31bo31bo35b2obo28b2obo33bobo3bo26bobo3bo36b2o3bobo25b2o3bobo
15b3o36b3o32bo$39b2o361bo44bo33bobo29bobo29bobo29bobo44bo32bo33bo2bob
2obobo22bo2bob2obobo15b4o35b4o29bobo$545bo31bo116bobo4bo25bobo23bo38bo
29b2o3b2o$545bobo29bobo115b2o31b2o94bobo11$287bo7bo$73bo211b2o7bo$71b
2o214bo6b2o$48bo24bo218bo$21bobo22b2o27bobo210b2o6bo$21bo26bo25bo2bo
18bobo4b2o184b3ob2obo$21bo28bobo21bo2bo18bo7bo2bo11b2o26b2o136bo3b2o$
23b2o24bo2bo21bobo19bo2b3o5bo10b3o25b3o43bo64bo27b2o$22b3o24bo2bo23bo
21bo5bo2bo11bo27bo42b2o37bo18b3o4bobo27bo$21b2o7bobo16bobo51b2o15b2ob
2o23b2ob2o39bo34b2o14bo2b2o4b2obobo29bo$21bo3b2o2bo2bo12bo5bo21bobo17b
ob2obo26bo27bo40b5o21bo8bo13b2o7bo34bo$obobo3bobobo11bobobo3bo6bo3bo2b
o22b3ob2obo15b3o4bo20b2o26b2o34bo10bo3bo11b3o4bobo10b5o7bo3bo6b3o29b2o
$24bo3bo10b2o2bo4bobo19bob2obo22bo22bo2bo24bo2bo22b3o4bobo4b2o3bo4bo6b
o2b2o4b2obobo11bo3bo11b2o4bo2bo$o7bo3bo11bobo2b2o8bo3bo2b4obo15bo2bobo
19b2o29bo27bo18bo2b2o4b2obobo2b2o6bobo8b2o7bo10b2o3bo4bo16b2o2bo30bo$
26b2o19b2obo14bo2bo2b2o16b5obo18bobo4bo20bobo4bo20b2o7bo13b2o11bo3bo6b
3o4b2o6bobo15b3o4bo4bo3bo20bobo$obobo3bobobo10b2ob2o16b2o18bo2bo2bo16b
2ob2obo20bo27bo27bo3bo6b3o3bobob2o18b2o4bo2bo9b2o25bo3bobob2o19b4o$23b
2ob2o16b2o18bo3bob3o14bo3bobobo18bobo2bo2bo19bobo2bo2bo24b2o4bo2bo3bo
3bo23b2o2bo3bobob2o26b2o9b2o13b2o2bo$o3bo3bo3bo13b2o19b2obo14b3obo2bo
14b2obob2obo21bo27bo34b2o2bo28b3o4bo4bo3bo24bo2b2o2b2o6bobo10b2obobo$
24bobo2b2o8bo3bo2b4obo13bobo22b2o26bob2obo22bob2obo25b3o4bo35bo31b2o9b
2o3bo4bo8b2o2bo$obobo3bobobo11bo3bo10b2o2bo4bobo13b2o21b3o29b3obo23b3o
bo32bo34b2o33bo14bo3bo7b2o$24bobobo3bo6bo3bo2bo41bo29bo4bo2bob2o16bo4b
o2bob2o25b2o32bo2b2o46b5o7bo$21bo3b2o2bo2bo12bo5bo9b2o3bo17b2o29bo3b2o
3bob4o13bo3b2o3bob4o23bo2b2o29b2o49bo13bo5bo$21b2o7bobo16bobo9b2o21b2o
29b2o2bo2bob2o4bo12b2o2bo2bob2o4bo4bo15b2o36bo46b2o15bob3o$22b3o24bo2b
o33bo28bo8b2o4bo2b2o8bo8b2o4bo2b3o17bo84bo19bo$23b2o24bo2bo8b3o21bobo
32b2o3b2o3bo2b3o12b2o3b2o3bo2b2o120b4o$21bo28bobo8b2o22bob2obo44bo147b
o2bo$21bo26bo14bobo20bo3bo195bo$21bobo22b2o13bo3bo219bo$48bo10bo2bo
222bobo$59bo225bobo$59bobo224bo11$169bo3bo22bo3bo$168bob2obo21bob2obo
12bo$23bo3bo18bo3bo18bo3bo94bobo13bobo8bobo13bobo$22bob2obo17bob2obo
17bob2obo95bo10b3obobo9bo10b3obobo28bo33bo228b2o5b2obo16bobo6bo$22bobo
20bobo20bobo96b2o7b4obo4bo7b2o7b4obo28bo2b3o28bo2b3o98bo2b2o29bo2b2o
90bo6bo2b2o16bo7bobo$23bo22bo22bo97b2o7bo4bo12b2o7bo4bo28bo2b2o29bo2b
2o99bo2b3o28bo2b3o89b2o5bo20bo7bo$21b2o14bo6b2o21b2o14bo87bob2o5bo17bo
b2o5bo25bo3bo29bo3bo40bo33bo24bo3bo4bo24bo3bo4bo89b2o6bo21bo3b2o$21b2o
7bobob2obo6b2o7bobobo9b2o7bobob2obo86b2o5b2o18b2o5b2o26bob3o29bob3o36b
o2b3o28bo2b3o23bob3o29bob3o34bo2b2o29bo2b2o17b4obo3b2ob2o25b2obobo$obo
bo3bobobo12b3o4bobo13b3o4bob2obo10b3o4bobo23b2o6bo29b2o6bo81bob3o29bob
3o36bo2b2o29bo2b2o24bob3o29bob3o34bo2b3o28bo2b3o13bob3o6b2o3bo21b2o3bo
2bo$24b2o21b2o11bo9b2o23bo3b3o2b3o26bo3b3o2b3o25b2obo23b2obo19bob2o8b
3o19bob2o8b3o34bo3bo29bo3bo16bob2o8b3o19bob2o8b3o32bo3bo4bo24bo3bo4bo
12b2o7b2o3b2o21bo3b2o$o7bo3bo17b2o21b2o21b2o15b2obo4bo2b2obobo5bo15b2o
bo4bo2b2obobo5bo16b2obo23b2obo19bo3b2o5b2o21bo3b2o5b2o35bob3o29bob3o
17bo3b2o5b2o21bo3b2o5b2o33bob3o29bob3o34b2o17b2o$24b6o17b6o17b6o14bobo
b2o3b2o5b3o7bo11bobob2o3b2o5b3o7bo17bo26bo20bob2o6bobo21bob2o6bobo35bo
b3o29bob3o17bob2o6bobo21bob2o6bobo33bob3o29bob3o18bob2obo31bo$obobo3bo
bobo11bo22bo22bo19bo7bo3b3obo3b5obo11bo7bo3b3obo3b5obo4bo9bo2b2o22bo2b
2o24b3obo29b3obo26bob2o8b3o19bob2o8b3o24b3obo29b3obo24bob2o8b3o19bob2o
8b3o20b2o3bo24bo8bobo$24b6o17b6o17b6o14bo4b2ob2o4bo4b2o4b3obobo6bo4b2o
b2o4bo4b2o4b3obobo10b3o24b3o26bob2o30bob2o26bo3b2o5b2o21bo3b2o5b2o27bo
b2o30bob2o24bo3b2o5b2o21bo3b2o5b2o27bo24b2o6bo2bo$o3bo7bo17b2o21b2o21b
2o14b2obobo11bo9bobo8b2obobo11bo9bobo130bob2o6bobo8bo12bob2o6bobo8bo
80bob2o6bobo8bo12bob2o6bobo8bo13b2o28bo7bo2bo$24b2o21b2o11bo9b2o11bo
12b2o23bo12b2o33bo26bo30bobo31bobo31b3obo9b2o18b3obo9b2o6bo13bobo31bob
o29b3obo9b2o18b3obo9b2o6bo7bo31bo5bobo$obobo3bobobo12b3o4bobo13b3o4bob
2obo10b3o4bob2obo13b4o34b4o30b2o25b2o31b2obob3o26b2obob3o25bob2o7bo4bo
bo15bob2o7bo4bob2obo15b2obob3o26b2obob3o23bob2o7bo4bobo15bob2o7bo4bob
2obo7b3o29bo7bo$21b2o7bobob2obo6b2o7bobobo9b2o7bobobo18bo37bo30bo2b2o
22bo2b2o32bob2obo28bob2obo34b3o3bob2obo22b3o3bobo21bob2obo28bob2obo32b
3o3bob2obo22b3o3bobo11b2o3bo24b2o$21b2o14bo6b2o21b2o101bobo24bobo35bo
4bo6bo21bo4bo22bobo5bo4bo6bo13bobo5bo4bo28bo4bo6bo21bo4bo20bobo5bo4bo
6bo13bobo5bo4bo21bo21bo2bo2bobo$23bo22bo22bo96b2o3bo21b2o3bo37b3o3bob
2obo22b3o3bobo20b2obob2obo25b2obob2obo32b3o3bob2obo22b3o3bobo18b2obob
2obo25b2obob2obo21b2o21b2o6bob2o$22bobo20bobo20bobo96b3o24b3o40bo4bobo
26bo4bob2obo20bob3o29bob3o34bo4bobo26bo4bob2obo18bob3o29bob3o21bob2o
22bo5b4o$22bob2obo17bob2obo17bob2obo94b2o25b2o42b2o32b2o6bo95b2o32b2o
6bo78b2o26b4o$23bo3bo18bo3bo18bo3bo97bo26bo42bo33bo103bo33bo80bobo34bo
3bo$169bobo24bobo295bo36b5o$170bo26bo296bobo35b2o9$86bo$84bo2b2o$82b3o
$81bobo13bo$81bob2o10b2o3bo$80bo4bo11bo2b2o$79b2o19b2o$100bo$78bo4b2o
14b2o$82bo17bo$26bobo4b2o20bobo4b2o15b3o15b3o$26bo7bo2bo17bo7bo2bo14bo
15b2o$26bo2b3o5bo17bo2b3o5bo16bo12bobo$obobo3bobobo15bo5bo2bo19bo5bo2b
o16bo12bob4o$21b2o10b2o15b2o10b2o18bo3b2o8bobo$4bo3bo3bo7b3o3b2o21b3o
3b2o25bobo16b2o$21b2obo4bo20b2obo4bo23bo3bo11b3o$4bo3bo3bo11bo4bo23bo
4bo27b2o9b2obo$86b2o9b2o2bo$4bo3bo3bo11b6o23b6o23bo3bo10b2o2bo$28b2o2b
obo22b2o2bobo18bobo13b2o$4bo3bobobo9bo2b2o5b2ob2o14bo2b2o5b2ob2o16bo3b
2o$20b2o3bob2ob2o17b2o3bob2ob2o10bo11bo16bo$22bo3b2o3bo5bobo11bo3b2o3b
o5bob2obo11bo16b3obo$27bo6b2obob2obo13bo6b2obobo12bo17bo2bo$31b2o9bo
17b2o17b3o16b2o4bo$82bo14bo6bo$78bo4b2o12b2o4bo$103bo$79b2o18b3o$80bo
4bo12bo4b2o$81bob2o12b3o$81bobo14b2o$82b3o$84bo2b2o$86bo!

[muzik]

Queen bee to house blinker fuse:

Code: Select all

x = 7, y = 54, rule = B3/S23
2b2o$2b2o8$2o3b2o$obobobo$b5o$2b3o$3bo6$3bo$3bo$3bo3$2b3o3$3bo$3bo$3bo
2$3bo$3bo$3bo2$3bo$3bo$3bo2$3bo$3bo$3bo9$3bo$3bo$3bo$3bo!

[praosylen]

Beehive edgeshooter that might be useful in tight syntheses:

Code: Select all

x = 21, y = 24, rule = B3/S23
5bo$4bo$4b3o$2bo$obo$b2o2$15bo$13b2o$14b2o2$4b2o$4bobo$5b2o7$12bo$11b
2o5b3o$11bobo4bo$19bo!

[mniemiec]

Beehive edgeshooter that might be useful in tight syntheses:

Code: Select all

x = 21, y = 24, rule = B3/S23
5bo$4bo$4b3o$2bo$obo$b2o2$15bo$13b2o$14b2o2$4b2o$4bobo$5b2o7$12bo$11b
2o5b3o$11bobo4bo$19bo!

There are many ways to do this less expensively and less obtrusively. Here are several 3-glider methods. The third uses the same predecessor as yours:

Code: Select all

x = 54, y = 124, rule = B3/S23
25bobo$26boo$26bo$$27bo$28bo22boo$26b3o21bobbo$51boo$27bo$26boo$26bobo
10$23bo$24bo$22b3o$18b3o$20bo$19bo31boo$50bobbo$51boo$24b3o$26bo$25bo
15$51boo$25bo24bobbo$26boo23boo$25boo$$24bo$24boo$23bobo3$27boo$27bobo
$27bo17$20boobboo$19boboboo26boo$21bo3bo24bobbo$51boo15$14boo$13bobo$
15bo11$13bo37boo$14bo35bobbo$12b3o36boo$16bo$16boo$15bobo11$bo$boo$obo
!

[Hdjensofjfnen]

Hey, i am new here.
So anyway, i found this pattern that looks like a methuselah but i am not sure about it

Code: Select all

x = 160, y = 140, rule = B3/S23
bo$2bo$3o132$157b2o$156b3o$156bo2bo$158bo$154b2o2bo$155b3o!

Looks like it has a lifespan of about 8,650 generations. The incoming glider just about increases the lifespan tenfold.

[Hdjensofjfnen]

Er, no, a spaceship. Nobody says 'spaceship' when referring to gliders...

Also, the pattern's actual name is 'hat.'

Actually, if you look in Volume 1, Conway refers to gliders as "featherweight spaceships".

[M. I. Wright]

Yeah, but that was nearly 50 years ago and terminology has changed more than a bit since then.

Given the commonality of gliders, it's sort of an unwritten rule.

[FractalFusion]

Actually, if you look in Volume 1, Conway refers to gliders as "featherweight spaceships".

Language evolves over time. The term "featherweight spaceship" was used in the ancient times when the Game of Life was just a couple years old at most and Conway used the term "featherweight spaceship" as a way to link the glider with the xWSS family ("spaceship" wasn't really well-defined at the time either unlike how we use it today). Nowadays, nobody refers to the glider as anything other than "glider", and nobody expects anybody else to refer to the glider as anything other than "glider" (this was probably true since perhaps 30 years ago, and even that is a conservative guess). This is probably due to how disproportionally symbolic the glider is compared to just about every other Life pattern in existence.

The term "spaceship" is a little more vague and has a couple different meanings (may not be exact):

1) Any pattern that displaces itself over a period of time.
2) Any pattern of the xWSS family.

The former meaning of "any pattern that is a glider or xWSS" is now obsolete thanks to the first paragraph. While the glider is an example of a spaceship (sense 1), the glider is unlikely to be discussed in that sense when talking about constructing things like the Caterpillar, or using search programs to find things like the loafer. That leaves sense 2, the most probable sense especially when talking about soup searches, since only gliders and xWSS have a reasonable chance to appear. Gliders are also far more frequent than any of the xWSS. So it is plausible that someone would use the term "spaceship" as a blanket term for any of LWSS, MWSS or HWSS, without including the glider among them, and expect to be understood in that way.

[muzik]

and nobody expects anybody else to refer to the glider as anything other than "glider" .

Apparently Conway himself kind of regretted naming it the glider after seeing computer simulations. he said it actually kind of looked like an ant.

[FractalFusion]

Apparently Conway himself kind of regretted naming it the glider after seeing computer simulations. he said it actually kind of looked like an ant.

Ah yes, I remember. It was in a Numberphile video about the Game of Life.

[muzik]

Trying to make weekender eater, is there anything I'm missing?

Code: Select all

x = 24, y = 36, rule = B3/S23
o9bo2bo9bo$3o5b3o2b3o5b3o$3bo3bo8bo3bo$2b2o3b2o6b2o3b2o5$11b2o$11b2o
16$5bo12bo$5bo12bo$4bobo10bobo$5bo12bo$5bo12bo$6bo3b4o3bo$10b4o$6b4o4b
4o2$8bo6bo$9b2o2b2o!

Also, the c/4 can turn eaters into hives.

Code: Select all

x = 24, y = 27, rule = B3/S23
2o$bo$bobo$2b2o5$2o$bo$bobo$2b2o4$6bo$6bo8bo$5bobo5bo3bo$13bo3b2o$10bo
b2o5b2o$6b6o2bo6bo$7b2o6bo3b3o$15bo3bob2o$18bo$23bo$22bo$22bo!