Spaceship Discussion Thread

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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dvgrn
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Re: Spaceship Discussion Thread

Post by dvgrn » September 4th, 2016, 3:57 pm

muzik wrote:The wiki status page mentions p28, p32 and p36 c/2 spaceships, can someone give me RLEs of these?
There's a reason the jslife collection gets mentioned a lot. Seek and thou shalt find that which you request, in the "c2-extended" folder under, e.g., c2-0028.lif. Here's an example:

p28 c/2 spaceship:

Code: Select all

x = 41, y = 43, rule = B3/S23
32bo$29b4o$29b2o$27bo$27b4o$26bo$25b3o2bo$26b3o$27bo$28b3obo$28bo2b2o$
29b3o$31bo$29bo$29bobo$9b2o3b2o12bo$6b2o3bo5bo10bo2bo$5b2obo3b2ob3o6bo
bobo$6b3o8bo5bo2bobo2bo$7b2o2b5o6b2o4b2o$16b3o7bobo2bo$7o6b2o2b8obobo$
o6bo5bo14bo2bo$o13b2ob2ob5obobo2bo4b2o$bo11bo3b2o2bo4bobo2bo3bo$3b2o4b
o3b6o3b2o4bo2bo4bo$6b5obo2bob2o4bo2bobo2bo5b4o$5b2o7bo2b3o4bobobo10bo$
6b4obob2o3b2o9bobo$7b3obobo15bo$31bo$29b3o$28bo2b2o$28b3obo$27bo$26b3o
$25b3o2bo$26bo$27b4o$27bo$29b2o$29b4o$32bo!
#C [[ TRACK -1/2 0 GPS 10 AUTOSTART ]]

muzik
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Re: Spaceship Discussion Thread

Post by muzik » September 4th, 2016, 4:10 pm

As mentioned before, I've moved house and don't have internet on my desktop computer yet.

A weird question: are there any XWSS based ships that don't have a period a multiple of 4? Of course this would require rephasing the ship somehow.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

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Re: Spaceship Discussion Thread

Post by Sokwe » September 4th, 2016, 7:05 pm

I am certain that I've seen this 2c/6 ship before (possibly with a different p3 part), but I can't find it on the forums:

Code: Select all

x = 25, y = 70, rule = B3/S23
12bo$11bobo$10bo3bo$11b3o2$9b2o3b2o$9b2o3b2o$6b4o5b4o$2bob2obob2o3b2ob
ob2obo$b3o4bobo3bobo4b3o$o3bo5bo3bo5bo3bo$bo8bo3bo8bo$9bo5bo2$8b9o$7b
2o7b2o$12bo2$10b2ob2o$9bobobobo$7b3o5b3o$6bo4bobo4bo$6bobobo3bobobo$6b
ob2o5b2obo2$6bo11bo$10b5o2$10b2ob2o$9bo5bo$10b2ob2o$11bobo$10bo3bo2$8b
obo3bobo$8b3o3b3o$6bo2b2o3b2o2bo2$6b3o7b3o$7bo9bo$8b3o3b3o$10bo3bo$7b
2o7b2o$9b2o3b2o$7bobobobobobo$7bo9bo$9b3ob3o$7bob3ob3obo$6bob2o5b2obo$
6bo2b2o3b2o2bo$6bo2b2o3b2o2bo$8b2o5b2o$7bobo5bobo$9bo5bo$9b2o3b2o$8b2o
5b2o$8bobo3bobo$8bobo3bobo$11bobo$8bobo3bobo$7bo9bo$7b3o5b3o$6bo3bo3bo
3bo$6bo3bo3bo3bo$6b2o3bobo3b2o$7bob2o3b2obo$8b3o3b3o$9b2o3b2o$10b5o$
11b3o!
Does anyone know where it was originally posted?
-Matthias Merzenich

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Re: Spaceship Discussion Thread

Post by dvgrn » September 5th, 2016, 12:12 pm

muzik wrote:A weird question: are there any XWSS based ships that don't have a period a multiple of 4? Of course this would require rephasing the ship somehow.
Don't think so. Well, technically... is a Caterloopillar an XWSS-based ship? I think that the only likely way to avoid a multiple-of-4 period would be to basically delete and re-create all the XWSSes in a ship, along the lines of the Caterloopillar.

There has been some investigation into p4 ships that change phase and therefore produce non-p4 output, but they generally look like period-2 ships with a trailing p4 part.

Here's a big phase-changing puffer example from the previous decade. Presumably it could be turned into a p378 rake, and therefore a clean p378 spaceship, with enough effort. Maybe someone has done this already, I haven't looked very hard -- but the puffer is all that shows up at p378 in jslife:

Code: Select all

#C A period 378 c/2 puffer.
#C This is the first in a series of c/2 puffers having periods which
#C are not a multiple of 4.  A phase-changing blinker puffer and a set
#C of period 42 rakes creates a row of blinkers.
#C Gliders from two more period 42 rakes ignite the blinker row, which
#C burns faster than c/2 until it reaches a pair of period 6 ships.
#C Then the cycle repeats.
#C The next puffer in the series can be created by advancing all of the
#C puffer except the rear rakes and their gliders by 168 generations.
#C Then the resulting puffer has its period increased by 588 generations.
#C The series thus contains periods 378, 966, 1554, and so on.
#C Only 1/7 of the possible non-multiple of 4 periods using period 42
#C rakes are covered by the series.  Adjusting the back rakes to ignite
#C the blinker row in other ways may provide further coverage.
#C This is a smaller version of a similar puffer built in March 2002.
#C David I. Bell, 30 December 2008
x = 303, y = 738
96b3ob3o75b3ob3o$95bobbobobbo73bobbobobbo$94bo3bobo3bo71bo3bobo3bo$94b
o9bo71bo9bo$96bo5bo75bo5bo$93bobo7bobo69bobo7bobo$92booboboobooboboo
67booboboobooboboo$91bobobobbobobbobobo65bobobobbobobbobobo$90boobo4bo
bo4boboo63boobo4bobo4boboo$89bo3bobooboboboobo3bo61bo3bobooboboboobo3b
o$95b3o3b3o73b3o3b3o$89boobooboo5boobooboo61boobooboo5boobooboo$88bo
21bo59bo21bo$89bo3bobbo5bobbo3bo61bo3bobbo5bobbo3bo$91bo4bo5bo4bo65bo
4bo5bo4bo$90boobooboo3boobooboo63boobooboo3boobooboo$93boo9boo69boo9b
oo$90bobboobbo3bobboobbo63bobboobbo3bobboobbo$89bobbobbobbobobbobbobbo
61bobbobbobbobobbobbobbo$90boboo3bo3bo3boobo63boboo3bo3bo3boobo$93b3o
7b3o69b3o7b3o$91bo3bobo3bobo3bo65bo3bobo3bobo3bo$95bobooboobo73boboob
oobo$94boo7boo71boo7boo$95booboboboo73booboboboo$95bo7bo73bo7bo$95b3o
3b3o73b3o3b3o$93bobobooboobobo69bobobooboobobo$92boobo7boboo67boobo7bo
boo$98bobo79bobo$89b3oboboo5boobob3o61b3oboboo5boobob3o$88boobobo11bob
oboo59boobobo11boboboo$88boboboobo7boboobobo59boboboobo7boboobobo$87b
oobboo13boobboo57boobboo13boobboo$90bo3bo9bo3bo63bo3bo9bo3bo$87boobo
17boboo57boobo17boboo$89boobbo11bobboo61boobbo11bobboo$89boboboo4bo4b
oobobo61boboboo4bo4boobobo$93bobobooboobobo69bobobooboobobo$90b3oboo7b
oob3o63b3oboo7boob3o$91bobbo3bobo3bobbo65bobbo3bobo3bobbo$91bobbo3bobo
3bobbo65bobbo3bobo3bobbo$96bo5bo75bo5bo$89boo3bobo5bobo3boo61boo3bobo
5bobo3boo$89boobboo9boobboo61boobboo9boobboo$89bo5bo7bo5bo61bo5bo7bo5b
o$88boo8b3o8boo59boo8b3o8boo$64bo23bo5boobo3boboo5bo59bo5boobo3boboo5b
o23bo$63b3oboo18bobo19bobo57bobo19bobo18boob3o$62boo3boboo26booboo77b
ooboo26boobo3boo$61boobbo4b5o15b3o13b3o63b3o13b3o15b5o4bobboo$62bo5bob
oboboo13booboo5bo5booboo61booboo5bo5booboo13boobobobo5bo$61boo6bo3bo
15b4oboo3bo3boob4o10b3ob3o27b3ob3o10b4oboo3bo3boob4o15bo3bo6boo$59boob
oboo9boboo15bo9bo14bobbobobbo25bobbobobbo14bo9bo15boobo9booboboo$60bob
obboo7booboboo8boobo3booboboo3boboo8bo3bobo3bo23bo3bobo3bo8boobo3boobo
boo3boboo8booboboo7boobbobo$57boobobbobbo7boobo3bo7boboo3b7o3boobo8bo
9bo23bo9bo8boboo3b7o3boobo7bo3boboo7bobbobboboo$57boobo5boo11boboo6b3o
bobo7bobob3o10bo5bo27bo5bo10b3obobo7bobob3o6boobo11boo5boboo$57bobo18b
obbobo4boo8b3o8boo6bobo7bobo21bobo7bobo6boo8b3o8boo4bobobbo18bobo$56b
ooboo16boboboboo10booboboboo12booboboobooboboo19booboboobooboboo12boob
oboboo10boobobobo16booboo$68bo7bobbobo3bobboo3bo4bobo4bo3boo3boobobobb
obobbobobo17bobobobbobobboboboo3boo3bo4bobo4bo3boobbo3bobobbo7bo$67b3o
boo3bo13bob3o9b3obo6bobo4bobo4boboo15boobo4bobo4bobo6bob3o9b3obo13bo3b
oob3o$66boo3bobooboboobooboo4bo3bobbo3bobbo3bo3boobobobooboboboobo3bo
13bo3boboobobobooboboboo3bo3bobbo3bobbo3bo4booboobooboboobo3boo$65boo
bbo4bobo15boboboo3boobobo5boobobob3o3b3obo8bo3bo8bob3o3b3oboboboo5bobo
boo3boobobo15bobo4bobboo$66bo5bobo5bo3bo9bobob3obobo7bobo3bobbooboobbo
3boo3b3ob3o3boo3bobbooboobbo3bobo7bobob3obobo9bo3bo5bobo5bo$65boo7bo5b
o3bo11bobobobo8boobooboo9boo6booboboboo6boo9boobooboo8bobobobo11bo3bo
5bo7boo$63booboboo28bobo10bo23boo7boo23bo10bobo28booboboo$64bobobboo9b
ooboo13bobo10b4ob3o17bo7bo17b3ob4o10bobo13booboo9boobbobo$61boobobbobb
o8bobobobo24boo23boo7boo23boo24bobobobo8bobbobboboo$61boobo5boo6bo7bo
27b3o16boobobo3boboboo16b3o27bo7bo6boo5boboo$61bobo13b3obbobb3o5bo21bo
18bobobooboobobo18bo21bo5b3obbobb3o13bobo$60booboo13boobbobboo6bo11bo
8bobo14boobobo7boboboo14bobo8bo11bo6boobbobboo13booboo$93bo11bo9bo16bo
bobobobobobobobo16bo9bo11bo$113booboo11boobobobo7boboboboo11booboo$91b
oo36boobobo11boboboo36boo$90bobbo18bobobobo9bobbobboo9boobbobbo9bobobo
bo18bobbo$90bo3bo13bo3bobobobo10bob3obo9bob3obo10bobobobo3bo13bo3bo$
90bobboo11booboo21bo15bo21booboo11boobbo$88bobbooboo12bo21boo17boo21bo
12booboobbo$87b3ob3o40b3obb3obb3o40b3ob3o$86boboboo45bob3obo45boobobo$
85boobo5bobo35boo5bobo5boo35bobo5boboo$86b11o23bo11bo4boo3boo4bo11bo
23b11o$87b3o3b3o23b3oboo7b3ob3o3b3ob3o7boob3o23b3o3b3o$91b3o24boo3bob
oo4boo3bobooboobo3boo4boobo3boo24b3o$117boobbo4bo9bo7bo9bo4bobboo$118b
o5boboo7boo7boo7boobo5bo$117boo7boboo5bob7obo5boobo7boo$115boobobo7bo
8bob3obo8bo7boboboo$116boboboo3booboboo4bo7bo4booboboo3boobobo$113boob
obo3bo5boboo17boobo5bo3boboboo$113boo3bo7bobobbo7b3o7bobbobo7bo3boo$
113b3obo3boo6boboo15boobo6boo3bob3o$112boo13boboo8b3o8boobo13boo$126bo
4boo5booboo5boo4bo$127bobboo5bo5bo5boobbo$94boo34bo19bo34boo$95boo29b
oo3bo5boo3boo5bo3boo29boo$94bo30bo29bo30bo$126bo5b3obbo5bobb3o5bo$134b
3o7b3o$133bobo9bobo$136bo3bo3bo$135bo3b3o3bo$132boo4b5o4boo$131booboob
oo3boobooboo$105bo25bobboobo5boboobbo25bo$105boo23boobbooboo3booboobb
oo23boo$104bobo23bo7bo3bo7bo23bobo$129bobobbooboboboboboobbobo$133bo
13bo$132bobobo7bobobo$131booboboo5booboboo$99b3ob3o25boobobobo3bobobob
oo25b3ob3o$98bobbobobbo26boo3booboo3boo26bobbobobbo$97bo3bobo3bo23boob
obbo5bobboboo23bo3bobo3bo$97bo9bo23bo7bobo7bo23bo9bo$99bo5bo9boo17boo
bbo3bobboo17boo9bo5bo$96bobo7bobo7boo12boo5bobobobo5boo12boo7bobo7bobo
$95booboboobooboboo5bo17booboobobobooboo17bo5booboboobooboboo$94bobobo
bbobobbobobo20bo3bobo5bobo3bo20bobobobbobobbobobo$93boobo4bobo4boboo
20bo4bo5bo4bo20boobo4bobo4boboo$92bo3bobooboboboobo3bo55bo3boboobobob
oobo3bo$98b3o3b3o25boobboo5boobboo25b3o3b3o$92boobooboo5boobooboo18bo
17bo18boobooboo5boobooboo$91bo21bo18bo3bo7bo3bo18bo21bo$92bo3bobbo5bo
bbo3bo21boobbo3bobboo21bo3bobbo5bobbo3bo$94bo4bo5bo4bo15bo6boobobooboo
boboo6bo15bo4bo5bo4bo$93boobooboo3boobooboo14boo8bo7bo8boo14boobooboo
3boobooboo$96boo9boo16bobo5bobbobobobobobbo5bobo16boo9boo$93bobboobbo
3bobboobbo24boo5boo24bobboobbo3bobboobbo$92bobbobbobbobobbobbobbo22bob
7obo22bobbobbobbobobbobbobbo$93boboo3bo3bo3boobo57boboo3bo3bo3boobo$
96b3o7b3o27bo7bo27b3o7b3o$94bo3bobo3bobo3bo59bo3bobo3bobo3bo$98boboob
oobo30bo5bo30bobooboobo$97boo7boo29bo5bo29boo7boo$98booboboboo33bo33b
ooboboboo$98bo7bo67bo7bo$98b3o3b3o67b3o3b3o$96bobobooboobobo63boboboob
oobobo$95boobo7boboo61boobo7boboo$101bobo73bobo$92b3oboboo5boobob3o55b
3oboboo5boobob3o$91boobobo11boboboo25b3o25boobobo11boboboo$91boboboobo
7boboobobo53boboboobo7boboobobo$41bo3bo44boobboo13boobboo51boobboo13b
oobboo$40b3ob3o46bo3bo9bo3bo57bo3bo9bo3bo$39booboboboo42boobo17boboo
24b3o24boobo17boboo$38boo7boo43boobbo11bobboo55boobbo11bobboo$39bo7bo
44boboboo4bo4boobobo55boboboo4bo4boobobo$38boo7boo47bobobooboobobo63bo
bobooboobobo51bo3bo$36boobobo3boboboo42b3oboo7boob3o27b3o27b3oboo7boob
3o47b3ob3o$37bobobooboobobo44bobbo3bobo3bobbo59bobbo3bobo3bobbo47boobo
boboo$34boobobbobobobobboboo41bobbo3bobo3bobbo59bobbo3bobo3bobbo46boo
7boo$34booboboobobobooboboo46bo5bo69bo5bo52bo7bo$34bobobbobbobobbobbob
o39boo3bobo5bobo3boo26b3o26boo3bobo5bobo3boo44boo7boo$33booboo11booboo
38boobboo9boobboo55boobboo9boobboo42boobobo3boboboo$33bo4boobo3boboo4b
o38bo5bo7bo5bo55bo5bo7bo5bo43bobobooboobobo$32bobob5o5b5obobo36boo8b3o
8boo53boo8b3o8boo39boobobbobobobobboboo$91bo5boobo3boboo5bo53bo5boobo
3boboo5bo39booboboobobobooboboo$35boboobo5boboobo38bobo19bobo51bobo19b
obo38bobobbobbobobbobbobo$34boobooboo3boobooboo47booboo71booboo47boob
oo11booboo$34boo4boo3boo4boo40b3o13b3o57b3o13b3o40bo4boobo3boboo4bo$
36bobbo7bobbo41booboo5bo5booboo55booboo5bo5booboo38bobob5o5b5obobo$33b
oobo3b3ob3o3boboo38b4oboo3bo3boob4o10b3ob3o9b3o9b3ob3o10b4oboo3bo3boob
4o$35boobboo5boobboo13bo31bo9bo14bobbobobbo19bobbobobbo14bo9bo31bo14bo
boobo5boboobo$35bobobo7bobobo12b3oboo22boobo3booboboo3boboo8bo3bobo3bo
17bo3bobo3bo8boobo3booboboo3boboo22boob3o12boobooboo3boobooboo$39boboo
boobo15boo3boboo20boboo3b7o3boobo8bo9bo17bo9bo8boboo3b7o3boobo20boobo
3boo11boo4boo3boo4boo$39bobooboobo14boobbo4b5o16b3obobo7bobob3o10bo5bo
9b3o9bo5bo10b3obobo7bobob3o16b5o4bobboo12bobbo7bobbo$38bo3bobo3bo14bo
5boboboboo14boo8b3o8boo6bobo7bobo15bobo7bobo6boo8b3o8boo14boobobobo5bo
10boobo3b3ob3o3boboo$40bo5bo15boo6bo3bo23booboboboo12booboboobooboboo
13booboboobooboboo12booboboboo23bo3bo6boo11boobboo5boobboo$38bo9bo11b
ooboboo9boboo11boo3bo4bobo4bo3boo3boobobobbobobbobobo11bobobobbobobbob
oboo3boo3bo4bobo4bo3boo11boobo9booboboo9bobobo7bobobo$39bobooboobo13bo
bobboo7booboboo11bob3o9b3obo6bobo4bobo4boboo3b3o3boobo4bobo4bobo6bob3o
9b3obo11booboboo7boobbobo14bobooboobo$36booboboobooboboo7boobobbobbo7b
oobo3bo10bo3bobbo3bobbo3bo3boobobobooboboboobo3bo7bo3bobooboboboobobob
oo3bo3bobbo3bobbo3bo10bo3boboo7bobbobboboo11bobooboobo$36boobb3ob3obb
oo7boobo5boo11boboo11boboboo3boobobo5boobobob3o3b3obo15bob3o3b3obobob
oo5boboboo3boobobo11boobo11boo5boboo10bo3bobo3bo$34booboboo5booboboo5b
obo18bobbobo12bobob3obobo7bobo3bobbooboobbo3boo7boo3bobbooboobbo3bobo
7bobob3obobo12bobobbo18bobo12bo5bo$32boobobbo9bobboboobbooboo16bobobob
oo13bobobobo8boobooboo9boo6b3o6boo9boobooboo8bobobobo13boobobobo16boob
oo9bo9bo$32bo4boboo5boobo4bo14bo7bobbobo3bo12bobobobo8bo51bo10bobo14bo
3bobobbo7bo22bobooboobo$34bobboo9boobbo15b3oboo3bo23bobo10b4ob3o37b3ob
4o10bobo23bo3boob3o18booboboobooboboo$31boobobobo9boboboboo11boo3boboo
boboobooboo13bo3bo8boo51boo26booboobooboboobo3boo17boobb3ob3obboo$34bo
17bo13boobbo4bobo18bo11bo8b3o41b3o39bobo4bobboo14booboboo5booboboo$32b
oboo15boobo12bo5bobo5bo3bo9bo13bo8bo43bo32bo3bo5bobo5bo13boobobbo9bobb
oboo$35b4o9b4o14boo7bo5bo3bo10boo9boo8bobo41bobo8bo11bo10bo3bo5bo7boo
12bo4boboo5boobo4bo$33bo3bo4b3o4bo3bo10booboboo91bo9bo11bo25booboboo
12bobboo9boobbo$39boob3oboo17bobobboo9booboo31b3o40booboo30booboo9boo
bbobo10boobobobo9boboboboo$34b3obb4ob4obb3o9boobobbobbo8b3ob3o29booboo
18b3o52bobobobo8bobbobboboo10bo17bo$38bo9bo13boobo5boo6boob3oboo5boo
15boo3bo5bo37bobobobo27bo7bo6boo5boboo8boboo15boobo$39bobo3bobo14bobo
13bo9bo3b3o15b3o3booboo38bobobobo3bo17bo4b3obbobb3o13bobo11b4o9b4o$34b
o6bo3bo6bo8booboo27boo15boo55booboo13booboo3boobbobboo13booboo8bo3bo4b
3o4bo3bo$33boobboo9boobboo23bo11bo49b3o27bo17bo46boob3oboo$32bo4boo9b
oo4bo23bo4bo4bo140b3obb4ob4obb3o$38bo4bo4bo184bo9bo$32boo4b3ob3ob3o4b
oo179bobo3bobo$7b3o21bo10b3o10bo83b3o87bo6bo3bo6bo$6bobb5o18bo7b3ob3o
7bo173boobboo9boobboo$5bo3bobobooboo16boo15boo174bo4boo9boo4bo$5bo6bo
3boboo13booboo4b3o4booboo179bo4bo4bo$7bo6bo4bo18bo9bo16bo3bo69b3o85boo
4b3ob3ob3o4boo$4bobo6bo3boboo12bobboboo7boobobbo10b3ob3o155bo10b3o10bo
21b3o$3boobob3o8bob3o12bobobobobobobobo12booboboboo155bo7b3ob3o7bo18b
5obbo$bbobobo3bo10boboo8boobooboobbobboobooboo8boo7boo156boo15boo16boo
boobobo3bo$boobo13boo3boboo5bo4bobo3bo3bobo4bo8bo7bo156booboo4b3o4boob
oo13boobo3bo6bo$o3bo5boo10bobbo9bo4bo5bo4bo10boo7boo139bo3bo16bo9bo18b
o4bo6bo$22booboboo3boo4b5ob5o4boo5boobobo3boboboo136b3ob3o10bobboboo7b
oobobbo12boobo3bo6bobo$ooboo16boboboboo13bobo14bobobobooboobobo136boob
oboboo12bobobobobobobobo12b3obo8b3oboboo$11b3o6b3o3bobo4bobboobobo3bob
oboobbo4boobobbobobobobboboo132boo7boo8boobooboobbobboobooboo8boobo10b
o3bobobo$10bobb5obboboobooboo4b3obo9bob3o4boboboboobobobooboboo62b3o
68bo7bo8bo4bobo3bo3bobo4bo5boobo3boo13boboo$9bo3boboboobo15boboboo3boo
bobo5boobobobobbobobbobobbo17boo3boo108boo7boo10bo4bo5bo4bo9bobbo10boo
5bo3bo$9bo6bobobbob3ob3o8bobobbobbobo6bo3bobo11bobboo16boo3boo79boo3b
oo20boobobo3boboboo5boo4b5ob5o4boo3booboboo$11bo6bo19bobobobobobo16boo
boo110boo3boo21bobobooboobobobo14bobo13boobobobo16booboo$8bobo6bo19boo
boboboboboo5boobooboo9boo65b3o63boobobbobobobobboboo4bobboobobo3bobob
oobbo4bobo3b3o6b3o$7boobob3o9booboo9bobo5bobo5bo35boo98bo14booboboobob
oboobobobo4b3obo9bob3o4boobooboobobb5obbo$6bobobo3bo9bo3bo10boo5boo9bo
3bo25booboo97boboo12bobbobobbobobboboboboo5boboboo3boobobo15boboobobo
3bo$5boobo14bo5bo6bo13bo3boo31boo100bobboo10boobbo11bobo3bo6bobobbobbo
bo8b3ob3obobbobo6bo$4bo3bo5boo6boob3oboo4bobo11bobo6b3o25bobo4bo45b3o
48bo21booboo16bobobobobobo19bo6bo$21b11o3bobo11bobo37bo4bo95b3o15boo9b
oobooboo5booboboboboboo19bo6bobo$4booboo12b3ob3ob3o27bo30boo98bo36bo7b
o5bo11booboo9b3oboboo$21bo9bo58b3obbo95bo28bo3bo10boo3boo11booboo9bo3b
obobo$57booboo32bo44b3o46bobo35boo3boo3bo3bo3boo6bobobobo14boboo$57boo
boo127bo31b3o7bo4bo3bo4bo4bobbobobobbo5boo5bo3bo$57booboo169bo13bo4bo
9bo$221bobo26bobo5bobo12booboo$220bo3bo$221b3o$221bobo3$95bo43b3o$39b
oo53bo3boo$37boobo52bo4boo81bobobbo$36boo3bo15b3o15b3o15boboo83bobbobo
17b3o15b3o$35boobboo15bo3bo13bo3bo13b3o3b3o38b3o38bo5bo15bo3bo13bo3bo$
35bo19boo4bo11bo4boo14bo3b3o78boob3o16boo4bo11bo4boo$54bobobooboo3b3o
3boobooboboo19bo77boobo16boobobooboo3b3o3booboobobo$37boobo12boobo4bob
oob3oboobo4bobo18boo78bobbo17bobo4boboob3oboobo4boboo12b3o$34b3obobo
11bo4bo3bo4bobo4bo3bobboboo8boo5bo39b3o37bobbo14boobobbo3bo4bobo4bo3bo
4bo10bo$38bo25bo5bo9boboo7bobbo85boo5boo8boobo9bo5bo22bo3boobo$35boboo
13boo7boo9boo7bobo8boo92bobbo7bobo7boo9boo7boo11b3o3boo$35bo44booboo
102boo7booboo41bobbobbo$139b3o103bobo$78b3oboobo109boboob3o41boobo$77b
oo5b3o107b3o5boo39b3o$77bo5bo3bo105bo3bo5bo39bo$76boo125boo38boobo$42b
oo39boobboo103boobboo45bo3bo$41bobo42bo107bo48boobo$43bo43bo105bo51bo
$$139b3o$$237boo$237bobo$139b3o95bo3$52b3o53bo$54bo54bo29b3o$53bo53b3o
61bo$171bobo$171boo$139b3o$226b3o$226bo$227bo$$63boo$62bobo$64bo$$139b
3o$$216boo$216bobo$139b3o74bo3$73b3o$75bo63b3o$74bo3$139b3o$205b3o$
205bo$206bo$$84boo$83bobo33bo$85bo31bobo41bo$118boo40bo$139b3o18b3o$$
195boo$195bobo$139b3o53bo3$94b3o$96bo42b3o$95bo3$139b3o$184b3o$184bo$
185bo$$105boo$104bobo$106bo$$139b3o$$174boo$174bobo$139b3o32bo5bo3bo$
179b3ob3o$178booboboboo$115b3o11bo47boo7boo$117bo12bo8b3o36bo7bo$116bo
11b3o19bo26boo7boo$150bobo22boobobo3boboboo$150boo24bobobooboobobo$
139b3o31boobobbobobobobboboo$163b3o7booboboobobobooboboo$163bo9bobobbo
bbobobbobbobo$164bo7booboo11booboo$172bo4boobo3boboo4bo$126boo43bobob
5o5b5obobo$125bobo$127bo46boboobo5boboobo$173boobooboo3boobooboo$139b
3o31boo4boo3boo4boo$175bobbo7bobbo$153boo17boobo3b3ob3o3boboo$153bobo
18boobboo5boobboo$139b3o11bo20bobobo7bobobo$178bobooboobo$178bobooboob
o$177bo3bobo3bo$139b3o37bo5bo$177bo9bo$178bobooboobo$175boobobooboobob
oo$139b3o33boobb3ob3obboo$173booboboo5booboboo$171boobobbo9bobboboo$
135b3o6bo26bo4boboo5boobo4bo$143bobo27bobboo9boobbo$143bobo24boobobobo
9boboboboo$144bo28bo17bo$171boboo15boobo$174b4o9b4o$139b3o30bo3bo4b3o
4bo3bo$178boob3oboo$173b3obb4ob4obb3o$177bo9bo$139b3o36bobo3bobo$173bo
6bo3bo6bo$172boobboo9boobboo55b3ob3o$171bo4boo9boo4bo53bobbobobbo$139b
3o35bo4bo4bo58bo3bobo3bo$171boo4b3ob3ob3o4boo52bo9bo$170bo10b3o10bo53b
o5bo$171bo7b3ob3o7bo51bobo7bobo$139b3o31boo15boo52booboboobooboboo$
172booboo4b3o4booboo50bobobobbobobbobobo$156bo3bo16bo9bo54boobo4bobo4b
oboo$135b3o6bo10b3ob3o10bobboboo7boobobbo48bo3bobooboboboobo3bo$143bob
o8booboboboo12bobobobobobobobo28b3o26b3o3b3o$143bobo7boo7boo8boobooboo
bbobboobooboo21b5obbo19boobooboo5boobooboo$144bo9bo7bo8bo4bobo3bo3bobo
4bo16booboobobo3bo17bo21bo$153boo7boo10bo4bo5bo4bo17boobo3bo6bo18bo3bo
bbo5bobbo3bo$151boobobo3boboboo5boo4b5ob5o4boo14bo4bo6bo22bo4bo5bo4bo$
139b3o10bobobooboobobobo14bobo23boobo3bo6bobo18boobooboo3boobooboo$
149boobobbobobobobboboo4bobboobobo3boboboobbo11b3obo8b3oboboo20boo9boo
$149boobobooboboboobobobo4b3obo9bob3o11boobo10bo3bobobo16bobboobbo3bo
bboobbo$149bobbobobbobobboboboboo5boboboo3boobobo11boobo3boo13boboo14b
obbobbobbobobbobbobbo$139b3o6boobbo11bobo3bo6bobobbobbobo14bobbo10boo
5bo3bo14boboo3bo3bo3boobo$156booboo15bobbobobobobbo10booboboo39b3o7b3o
$152boo9boobooboo8bobobobo13boobobobo16booboo15bo3bobo3bobo3bo$171bo6b
ooboboboo12bobo3b3o6b3o30bobooboobo$139b3o22bo3bo9b3o3b3o11boobooboobo
bb5obbo28boo7boo$170boo4b3o7b3o18boboobobo3bo28booboboboo$165b3o8boo9b
oo9b3ob3obobbobo6bo28bo7bo$176boo9boo20bo6bo30b3o3b3o$139b3o24bo43bo6b
obo25bobobooboobobo$199booboo9b3oboboo23boobo7boboo$164booboo5bo15bo8b
o3bo9bo3bobobo28bobo$135b3o6bo19booboo4bo3bo9bo3bo6bo5bo14boboo18b3obo
boo5boobob3o$143bobo18booboo4bo17bo5boob3oboo6boo5bo3bo16boobobo11bobo
boo$143bobo27bo17bo4b11o33boboboobo7boboobobo$144bo29bo15bo5b3ob3ob3o
12booboo15boobboo13boobboo$196bo9bo35bo3bo9bo3bo$239boobo17boboo$139b
3o32bo15bo50boobbo11bobboo$174bo15bo50boboboo4bo4boobobo$245bobobooboo
bobo$242b3oboo7boob3o$139b3o101bobbo3bobo3bobbo$243bobbo3bobo3bobbo$
248bo5bo$241boo3bobo5bobo3boo$139b3o99boobboo9boobboo$241bo5bo7bo5bo$
240boo8b3o8boo$240bo5boobo3boboo5bo23bo$139b3o97bobo19bobo18boob3o$
249booboo26boobo3boo$242b3o13b3o15b5o4bobboo$135b3o6bo39boo3boo50boob
oo5bo5booboo13boobobobo5bo$143bobo38boo3boo33b3ob3o10b4oboo3bo3boob4o
15bo3bo6boo$143bobo77bobbobobbo14bo9bo15boobo9booboboo$144bo77bo3bobo
3bo8boobo3booboboo3boboo8booboboo7boobbobo$194bo27bo9bo8boboo3b7o3boob
o7bo3boboo7bobbobboboo$193b4o27bo5bo10b3obobo7bobob3o6boobo11boo5boboo
$139b3o50bo3boo23bobo7bobo6boo8b3o8boo4bobobbo18bobo$190bo3bo3bo21boob
oboobooboboo12booboboboo10boobobobo16booboo$190bo6bo21bobobobbobobbobo
boo3boo3bo4bobo4bo3boobbo3bobobbo7bo$95b3ob3o87boob4o22boobo4bobo4bobo
6bob3o9b3obo13bo3boob3o$94bobbobobbo36b3o47boo26bo3boboobobobooboboboo
3bo3bobbo3bobbo3bo4booboobooboboobo3boo$93bo3bobo3bo87bo29bob3o3b3obob
oboo5boboboo3boobobo15bobo4bobboo$93bo9bo113boo3bobbooboobbo3bobo7bobo
b3obobo9bo3bo5bobo5bo$95bo5bo119boo9boobooboo6bobobobobobo9bo3bo5bo7b
oo$92bobo7bobo34b3o97bo5booboboboboboo23booboboo$91booboboobooboboo
126b3ob4o4boboo7boobo7booboo9boobbobo$90bobobobbobobbobobo132boo3b5o5b
5o6bobobobo8bobbobboboo$89boobo4bobo4boboo126b3o8b4o5b4o6bo7bo6boo5bob
oo$88bo3bobooboboboobo3bo30b3o93bo10b3o5b3o6b3obbobb3o13bobo$94b3o3b3o
131bobo27boobbobboo13booboo$88boobooboo5boobooboo126bo$87bo21bo25b3o6b
o41bob3o42booboo$88bo3bobbo5bobbo3bo34bobo39b6o$90bo4bo5bo4bo36bobo45b
o16bo17bo5bobobobo$89boobooboo3boobooboo36bo40boo4bo15b3o15b3o4bobobob
o$92boo9boo79boo5bo13boob3o13b3oboo$89bobboobbo3bobboobbo75bo4boo14bob
obboboo4bo4boobobbo$88bobbobbobbobobbobbobbo30b3o42bobo16boobo4boboboo
boobobo4boboo$89boboo3bo3bo3boobo77bo5boo9bobobobobbobo7bobobboboboo$
92b3o7b3o85bobbo7boobo7b3obobob3o8bo$90bo3bobo3bobo3bo84boo7bo3bo6boo
9boo7boo$94bobooboobo36b3o113boo$93boo7boo96booboo48boobbo$94boobobob
oo150boo3bo$94bo7bo95boobo3b3o46boobbo$94b3o3b3o36b3o56boobbo4bo47bobo
bo$92bobobooboobobo93b3o55bobbo$91boobo7boboo90boobboo5boo46boobo$97bo
bo97bo58boobbo$88b3oboboo5boobob3o30b3o54bobo58b3o$87boobobo11boboboo$
87boboboobo7boboobobo$86boobboo13boobboo24b3o6bo$89bo3bo9bo3bo35bobo$
86boobo17boboo32bobo$88boobbo11bobboo35bo$88boboboo4bo4boobobo$92bobob
ooboobobo147boo$89b3oboo7boob3o31b3o35bo73boo$90bobbo3bobo3bobbo68boo
76bo$90bobbo3bobo3bobbo69boo$95bo5bo$88boo3bobo5bobo3boo30b3o$88boobb
oo9boobboo$88bo5bo7bo5bo$87boo8b3o8boo$63bo23bo5boobo3boboo5bo29b3o$
62b3oboo18bobo19bobo131bo$61boo3boboo26booboo140boo$60boobbo4b5o15b3o
13b3o133bobo$61bo5boboboboo13booboo5bo5booboo30b3o$60boo6bo3bo15b4oboo
3bo3boob4o10b3ob3o$58booboboo9boboo15bo9bo14bobbobobbo$59bobobboo7boob
oboo8boobo3booboboo3boboo8bo3bobo3bo7b3o6bo$56boobobbobbo7boobo3bo7bob
oo3b7o3boobo8bo9bo15bobo$56boobo5boo11boboo6b3obobo7bobob3o10bo5bo17bo
bo$56bobo18bobbobo4boo8b3o8boo6bobo7bobo15bo$55booboo16boboboboo10boob
oboboo12booboboobooboboo$67bo7bobbobo3bobboo3bo4bobo4bo3boo3boobobobbo
bobbobobo100boo$66b3oboo3bo13bob3o9b3obo6bobo4bobo4boboo7b3o88boo$65b
oo3bobooboboobooboo4bo3bobbo3bobbo3bo3boobobobooboboboobo3bo99bo$64boo
bbo4bobo15boboboo3boobobo5boobobob3o3b3obo$65bo5bobo5bo3bo9bobob3obobo
7bobo3bobbooboobbo3boo$64boo7bo5bo3bo9bobobobobobo6boobooboo9boo10b3o$
62booboboo28bobo10bo$63bobobboo9booboo26b4ob3o$60boobobbobbo8bo5bo24b
oo$60boobo5boo7bo5bo28b3o23b3o$60bobo14bob5obo28bo106bo$59booboo11boo
9boo4bo20bobo104boo$77bo7bo6bo72bobo52bobo$91bo20bo3bo22b3o23boo$90boo
20booboo49bo$113bobo$88bo3bo14bo27b3o6bo$106boboo33bobo$105bo37bobo$
87boo3boo12bobo35bo$85boo4b3o13bo$84boo5boobo115boo$83boo7bobo44b3o67b
oo$84boo4bo4boo114bo$92bo$91boo$91boo46b3o4$139b3o$200bo$199boo$199bob
o$139b3o$$94bo$94boo39b3o6bo$93bobo47bobo$143bobo$144bo$$189boo$139b3o
14bo31boo66b3ob3o$154boo34bo64bobbobobbo$155boo97bo3bobo3bo$254bo9bo$
104boo33b3o114bo5bo$105boo146bobo7bobo$104bo147booboboobooboboo$251bob
obobbobobbobobo$139b3o108boobo4bobo4boboo$179bo69bo3bobooboboboobo3bo$
178boo75b3o3b3o$178bobo68boobooboo5boobooboo$139b3o106bo21bo$249bo3bo
bbo5bobbo3bo$115bo66bo3bo64bo4bo5bo4bo$115boo18b3o6bo36b3ob3o62booboob
oo3boobooboo$114bobo26bobo34booboboboo64boo9boo$143bobo33boo7boo60bobb
oobbo3bobboobbo$144bo35bo7bo60bobbobbobbobobbobbobbo$179boo7boo60boboo
3bo3bo3boobo$168boo7boobobo3boboboo61b3o7b3o$139b3o25boo9bobobooboobob
o60bo3bobo3bobo3bo$169bo5boobobbobobobobboboo61bobooboobo$175booboboob
obobooboboo60boo7boo$175bobobbobbobobbobbobo61booboboboo$125boo12b3o
32booboo11booboo60bo7bo$126boo46bo4boobo3boboo4bo60b3o3b3o$125bo47bobo
b5o5b5obobo57bobobooboobobo$252boobo7boboo$139b3o34boboobo5boboobo65bo
bo$158bo16boobooboo3boobooboo55b3oboboo5boobob3o$157boo16boo4boo3boo4b
oo54boobobo11boboboo$144bobo10bobo17bobbo7bobbo56boboboobo7boboobobo$
139b3obboo28boobo3b3ob3o3boboo52boobboo13boobboo$145bo30boobboo5boobb
oo57bo3bo9bo3bo$136boo38bobobo7bobobo54boobo17boboo$134bo4bo4bo35boboo
boobo60boobbo11bobboo$134bo4bo3bobo34bobooboobo60boboboo4bo4boobobo$
134bo4bo3bobo33bo3bobo3bo63bobobooboobobo$136boo6bo36bo5bo62b3oboo7boo
b3o$179bo9bo61bobbo3bobo3bobbo$147boo31bobooboobo62bobbo3bobo3bobbo$
139b3o4boo29booboboobooboboo64bo5bo$148bo28boobb3ob3obboo57boo3bobo5bo
bo3boo$175booboboo5booboboo55boobboo9boobboo$173boobobbo9bobboboo53bo
5bo7bo5bo$139b3o31bo4boboo5boobo4bo52boo8b3o8boo$175bobboo9boobbo54bo
5boobo3boboo5bo23bo$172boobobobo9boboboboo50bobo19bobo18boob3o$175bo
17bo63booboo26boobo3boo$139b3o31boboo15boobo54b3o13b3o15b5o4bobboo$
176b4o9b4o56booboo5bo5booboo13boobobobo5bo$174bo3bo4b3o4bo3bo37b3ob3o
10b4oboo3bo3boob4o15bo3bo6boo$180boob3oboo42bobbobobbo14bo9bo15boobo9b
ooboboo$139b3o33b3obb4ob4obb3o36bo3bobo3bo8boobo3booboboo3boboo8boobob
oo7boobbobo$179bo9bo40bo9bo8boboo3b7o3boobo7bo3boboo7bobbobboboo$180bo
bo3bobo43bo5bo10b3obobo7bobob3o6boobo11boo5boboo$175bo6bo3bo6bo35bobo
7bobo6boo8b3o8boo4bobobbo18bobo$139b3o32boobboo9boobboo33boobobooboobo
boo12booboboboo10boobobobo16booboo$173bo4boo9boo4bo31bobobobbobobbobob
oo3boo3bo4bobo4bo3boobbo3bobobbo7bo$146boo31bo4bo4bo36boobo4bobo4bobo
6bob3o9b3obo13bo3boob3o$146boo25boo4b3ob3ob3o4boo29bo3bobooboboboobobo
boo3bo3bobbo3bobbo3bo4booboobooboboobo3boo$172bo10b3o10bo21b3o8bob3o3b
3oboboboo5boboboo3boobobo15bobo4bobboo$139b3o31bo7b3ob3o7bo18b5obbo3b
oo3bobbooboobbo3bobo7bobob3obobo9bo3bo5bobo5bo$175boo15boo16booboobobo
3bo6boo9boobooboo6bobobobobobo9bo3bo5bo7boo$174booboo4b3o4booboo13boob
o3bo6bo24bo5boobo5boboo23booboboo$158bo3bo16bo9bo18bo4bo6bo19b3ob4o5b
oobo5boboo8booboo9boobbobo$139b3o15b3ob3o10bobboboo7boobobbo12boobo3bo
6bobo23boo6boo5boo9b3ob3o8bobbobboboo$156booboboboo12bobobobobobobobo
12b3obo8b3oboboo17b3o7bo13bo5boob3oboo6boo5boboo$155boo7boo8boobooboo
bbobboobooboo8boobo10bo3bobobo17bo7bobo11bobo3bo9bo13bobo$156bo7bo8bo
4bobo3bo3bobo4bo5boobo3boo13boboo15bobo49booboo$139b3o13boo7boo10bo4bo
5bo4bo9bobbo10boo5bo3bo42bo11bo$153boobobo3boboboo5boo4b5ob5o4boo3boob
oboo36b3o26bo4bo4bo$154bobobooboobobobo14bobo13boobobobo16booboo13boob
oo$92b3ob3o52boobobbobobobobboboo4bobboobobo3boboboobbo4bobo3b3o6b3o
23bo5bo$91bobbobobbo39b3o9boobobooboboboobobobo4b3obo9bob3o4boobooboob
obb5obbo23booboo$90bo3bobo3bo50bobbobobbobobboboboboo5boboboo3boobobo
15boboobobo3bo$90bo9bo49boobbo11bobo3bo6bobobbobbobo8b3ob3obobbobo6bo$
92bo5bo59booboo16bobobobobobo19bo6bo$89bobo7bobo37b3o12boo9boobooboo5b
ooboboboboboo19bo6bobo$88booboboobooboboo70bo7bo5bo11booboo9b3oboboo$
87bobobobbobobbobobo42boo18bo3bo7booboo3booboo7bobobobo8bo3bobobo$86b
oobo4bobo4boboo41boo24boo4boobo5boboo6bo7bo13boboo$85bo3bobooboboboobo
3bo61b3o7bobboo5boobbo5booboboboo6boo5bo3bo38b3o$91b3o3b3o39b3o34bob4o
bobob4obo4bo3bo3bo55boob3o$85boobooboo5boobooboo62bo7bobo3bo3bo3bobo
26booboo37bo5bo$84bo21bo60bobo7bo13bo70bobbobo$85bo3bobbo5bobbo3bo60b
ooboo95boo$87bo4bo5bo4bo35b3o24booboo$86boobooboo3boobooboo60bo5bo92b
4o$89boo9boo64bo3bo93boboo$86bobboobbo3bobboobbo159bo3bo$85bobbobbobbo
bobbobbobbo33b3o122b3o$86boboo3bo3bo3boobo161bo$89b3o7b3o$87bo3bobo3bo
bo3bo$91bobooboobo39b3o$90boo7boo$91booboboboo$91bo7bo159boo$91b3o3b3o
39b3o49bo66boo$89bobobooboobobo83boo3bobbo66bo$88boobo7boboo43boo46bo$
94bobo49boo47bo$85b3oboboo5boobob3o86bobbo$84boobobo11boboboo32b3o50bo
$84boboboobo7boboobobo82boboboo$83boobboo13boobboo81bobboo$86bo3bo9bo
3bo82bo4bo$83boobo17boboo31b3o45bobb4o55bo$85boobbo11bobboo84boboo54b
oo$85boboboo4bo4boobobo81bobobboo54bobo$89bobobooboobobo$86b3oboo7boob
3o34b3o$87bobbo3bobo3bobbo$87bobbo3bobo3bobbo78boo$92bo5bo83bobo$85boo
3bobo5bobo3boo33b3o40bo$85boobboo9boobboo$85bo5bo7bo5bo$84boo8b3o8boo
131boo$60bo23bo5boobo3boboo5bo32b3o95boo$59b3oboo18bobo19bobo131bo$58b
oo3boboo26booboo48boo$57boobbo4b5o15b3o13b3o41boo$58bo5boboboboo13boob
oo5bo5booboo$57boo6bo3bo15b4oboo3bo3boob4o10b3ob3o16b3o29b3o$55boobob
oo9boboo15bo9bo14bobbobobbo47bo$56bobobboo7booboboo8boobo3booboboo3bob
oo8bo3bobo3bo47bo$53boobobbobbo7boobo3bo7boboo3b7o3boobo8bo9bo$53boobo
5boo11boboo6b3obobo7bobob3o10bo5bo16b3o86bo$53bobo18bobbobo4boo8b3o8b
oo6bobo7bobo101boo$52booboo16boboboboo10booboboboo12booboboobooboboo
100bobo$64bo7bobbobo3bobboo3bo4bobo4bo3boo3boobobobbobobbobobo$63b3ob
oo3bo13bob3o9b3obo6bobo4bobo4boboo10b3o$62boo3bobooboboobooboo4bo3bobb
o3bobbo3bo3boobobobooboboboobo3bo$61boobbo4bobo15boboboo3boobobo5boobo
bob3o3b3obo35boo$62bo5bobo5bo3bo9bobob3obobo7bobo3bobbooboobbo3boo31bo
bo$61boo7bo5bo3bo8booboboboboboo5boobooboo9boo13b3o19bo$59booboboo26bo
5bo8bo$60bobobboo9booboo10boo5boo7b4ob3o$57boobobbobbo8bo5bo24boo109b
oo$57boobo5boo7bo5bo5b3o11b3o6b3o26b3o74boo$57bobo14bob5obo5boo11boo8b
o106bo$56booboo11boo9boo7bo5bo11bobo33boo$74bo7bo63boo$109bo3bo$109boo
boo25b3o8b3o$110bobo37bo$151bo$$139b3o65bo$206boo$109b3o15b3o21b3o15b
3o34bobo$108bo3bo13bo3bo19bo3bo13bo3bo$107boo4bo11bo4boo7b3o7boo4bo11b
o4boo$91bo14bobobooboo3b3o3boobooboboo13boobobooboo3b3o3booboobobo$89b
4o12boobo4boboob3oboobo4bobo15bobo4boboob3oboobo4boboo$88bo3bo11bo4bo
3bo4bobo4bo3bobboboo9boobobbo3bo4bobo4bo3bo4bo$87bo3boo23bo5bo9boboo3b
3o3boobo9bo5bo$87bo3bo12boo7boo9boo7bobo9bobo7boo9boo7boo$86booboboo
39booboo7booboo$86boobb3o103boo$87boo34b3obb5ob3obb3obb3ob5obb3o37boo$
91bo30bo3bob3o19b3obo3bo38bo$87b4o30bo6bo3b3o11b3o3bo6bo$87boo32bo3boo
6bo13bo6boo3bo$123bo8bobo11bobo8bo$120bobo16b3o16bobo$119boobob3o4bo3b
o9bo3bo4b3oboboo$118bobobo3bo4booboo9booboo4bo3bobobo$117boobo11bobo
11bobo11boboo$94bo21bo3bo5boo11b3o11boo5bo3bo21bo$94boo89boo$93bobo20b
ooboo39booboo20bobo$$139b3o4$139b3o3$104boo69boo$105boo32b3o32boo$104b
o71bo4$139b3o4$115bo23b3o23bo$115boo47boo$114bobo47bobo$$139b3o4$139b
3o3$125boo27boo$126boo11b3o11boo$125bo29bo4$139b3o4$136bobb3obbo$136b
oo5boo$135bobo5bobo!
#C [[ TRACK 0 -1/2 AUTOSTART ]]

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BlinkerSpawn
Posts: 1906
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Location: Getting a snacker from R-Bee's

Re: Spaceship Discussion Thread

Post by BlinkerSpawn » September 5th, 2016, 2:03 pm

muzik wrote:As mentioned before, I've moved house and don't have internet on my desktop computer yet.

A weird question: are there any XWSS based ships that don't have a period a multiple of 4? Of course this would require rephasing the ship somehow.
Does "2c5-engineless-rake-p185.rle" count as a "XWSS-based ship"?

Code: Select all

x = 531, y = 201, rule = B3/S23
392bo$390b2obo$388b3o$387bo2bo$386bo$387bo2bo2bo$388b4obo$390bob3o$
381bobo8b3o$378bo4bo7b2o$377b3o4bo6bo2b2obo$376bobo12bo2b3o$375b2o2b2o
4bo6b2obo$376b2o2b5o4$342b2o32b2o2b5o$341b3o31b2o2b2o4bo$307bobo15b2o
12bo36bobo$307bobo2bo11b3o11b2obo35b3o4bo$306bo3bob3o8bo2bo2bobo5b2o
39bo4bo7b3o$307b2ob6o7b2o3bo2bo6b2ob3o37bobo6bo2bo$307b2obobo2bo5bo9bo
7bo51bob2o$310bobobo2bo3b8obo10bo49b3o$310bo3bo2bo12bo14bo$311b2o2b2ob
12o12bo3bo42b2o$312b2o3bo14bobo6b2ob2o$318b15obo7bo48b3o$282b3o58b2ob
2o43b3o$280b2ob2o33b15obo55bobo$278b2obobo28b2o3bo14bobo56bo$278b2o3b
2o26b2o2b2ob12o$278b2obob2o25bo3bo2bo12bo$280b3o27bobobo2bo3b8obo$284b
o22b2obobo2bo5bo9bo$284b2o21b2ob6o7b2o3bo2bo$283bo4bo17bo3bob3o8bo2bo
2bobo16bo21bobo4bo11b2o$282b2o4bo18bobo2bo11b3o18b2ob2o20bo5b2ob2obo5b
o$283b5o19bobo15b2o17bobobo15b2o3bo7bobobo6bo2bo$284bo58b2o3bo7b2o6b2o
3b2o3bobo2bobo6b2o$344bobo2bo5b2ob2ob3o5b2obob4o2b2o5bobobo$345b2obo7b
ob2ob2o3b2o3b2ob2o10b2obo38bo$357bo5bobo2bo7bobo10bo38bobo$349b2o7b2o
2bo3b2o10bo3b3o2bob2o37b2o$348bob3o12b2o15b2o3bob2o$309b2o36bo3b3o4b2o
2bo3b2o10bo3b3o2bob2o$308b3o37bobo6bo5bobo2bo7bobo10bo$306bo42bo6bob2o
b2o3b2o3b2ob2o10b2obo$305b2obo46b2ob2ob3o5b2obob4o2b2o5bobobo$304b2o
50b2o6b2o3b2o3bobo2bobo6b2o$305b2ob3o53b2o3bo7bobobo6bo2bo$306bo19b2o
42bo5b2ob2obo5bo$308bo16b2o43bobo4bo11b2o$312bo14bo$309bo3bo$308b2ob2o
$309bo$274bo35b2ob2o$273b3o$253bo18b2o2bo$251b2obo17bo3bo137b2o2b2o$
249b3o20bobo141b4o$248bo2bo159b2o6b2o$247bo25b2ob2o133b2obob5o$248bo2b
o2bo20bo134bo3b2o$206b2obo13b2o24b4obo156b3o$205b3obo13b2o26bob3o155b
3o$204bo6bo9bo5b2o24b3o20bo$205b2obo2b2o8b3o3b3o22b2o18bo4bo133b5o$
206b3obo2b2o4b2o5bobo23bo2b2obo13bo137b7o$208bobobo7b8o24bo2b3o19bo
131bo3bo$209b2obob2o12bo24b2obo16b2o135b2o2b3o$209b2obo3bob10o45b2o
127bobo6bo2bo$215bobo12bobo40b2o2bo124bobo$211bo4b17o41b4o121b2obo11b
2o$275b2o121bob2o12bo$211bo4b17o165bo3bo10b2o$215bobo12bobo158bo6bob2o
bo8b3o2b2o$209b2obo3bob10o162b5o4b2obo10bo3b2o$209b2obob2o12bo160b2o4b
o18bo2bo$208bobobo7b8o162bo4bo18b2o$206b3obo2b2o4b2o5bobo162b2o9b4obo$
205b2obo2b2o8b3o3b3o161bo10b2o2bo$204bo6bo9bo5b2o158b3o12b2o3bo$205b3o
bo13b2o160b2obob2o12bo$206b2obo13b2o160b2o3b2o$385b2obobo$288bobo96b2o
b2o65bo$273bobo2b3obo4bo4bobo94b3o63b2o$273bobo2bobobob3o4b3obo88bo71b
2o$272bo3bo5bo3b3o6bo89bo$273b2ob5obo7b6o87b3o$273b2o4bo4bo3bo170bo$
275b2o8b3o3bobobo162bo$277bo7bob3obobobo14b2o146b3o$279bobo4b2o21b6o
104b2o$279b2o27bo3bo72bo3bo28b6o$280bo27bo4b2o70b2o2b2o26bo3bo$308bo2b
o71b2ob2o2bo26bo4b2o$382b2obob2obo26bo2bo$310b2o69bo3bo5bo$310b2o70b3o
34b2o$306b2o2bo72bo7bo27b2o39bobo$306b6o103b2o2bo40b2o$305bo77bo7bo23b
6o40bo$306bo5bo69b3o29bo$306bo5bo68bo3bo5bo23bo5bo$382b2obob2obo24bo5b
o$307bobo73b2ob2o2bo$306bo78b2o2b2o25bobo$306bo3b6o69bo3bo25bo$216b3o
87bobobob3obo98bo3b6o$216bo90b3obo103bobobob3obo$217bo93b3o102b3obo$
311b2o2bo104b3o$420b2o2bo6$493b2o$492b2o$494bo3$502bo$7bo4bo488bobo$6b
ob2obobo45bo73bo73bo73bo73bo73bo70b2ob2o$5bo3bo11b2o34bo3bo14b3o52bo3b
o14b3o52bo3bo14b3o52bo3bo14b3o52bo3bo14b3o52bo3bo14b3o52bo2bo$5bobo12b
ob5o11b2o16bo18b5o13b5o14b2o16bo18b5o13b5o14b2o16bo18b5o13b5o14b2o16bo
18b5o13b5o14b2o16bo18b5o13b5o14b2o16bo18b5o13b5o14b2o17b2ob2o20bo$5bo
2b2o6bob2ob3o3bobobo5b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob
3o13bo4bo12b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob3o13bo4bo
12b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob3o
15bobo20b5o$2b2ob2o5b4ob2o6bo7bo4b5o13b5o14b2o16bo18b5o13b5o14b2o16bo
18b5o13b5o14b2o16bo18b5o13b5o14b2o16bo18b5o13b5o14b2o16bo18b5o13b5o14b
2o16bo18b5o16bo20b2o4bo$bobob2o2b2o6b2ob2o4b3obobo6b3o52bo3bo14b3o52bo
3bo14b3o52bo3bo14b3o52bo3bo14b3o52bo3bo14b3o52bo3bo14b3o39bo4bo$2obo
28bo63bo73bo73bo73bo73bo73bo59b2o$b2ob3o24b2o493bo$5b2o23bobo489b3o$
30bo114b3o354bo17b2obob2o$5b2o23bobo105bo5b6o6bo59bo283b2o3bo14b2o3b2o
$b2ob3o24b2o103b2obo2b2obo3bo5b2o54b3o2b3o281b2o2bo15b2obobo$2obo28bo
90bo2bo8bo11bo7bo57bo218bo67b4obo16b2ob2o$bobob2o2b2o6b2ob2o4b3obobo
90bo2bo3b3o2b2obobo3bob2obo6b3o50b2o3bo211bo4bob3o8bo79b3o$2b2ob2o5b4o
b2o6bo7bo88bo4bobo7b2o3bo5b2o6bo52bo2b3ob3o205bobo3bo3bob2o4b2o$5bo2b
2o6bob2ob3o3bobobo79bo11b2o6b2o5bob2obo5b2ob2o2b3o50b3ob6o192b2o6b2o2b
2ob2ob2obobo7bo54b2obo$5bobo12bob5o83b5o8b2o4b3ob2o3bo4b3o4b2obob3o57b
3o192b4o3bo4b2obob3obo2bo9bo51bob2obo$5bo3bo11b2o86b2o4bo9b6o18bobobob
o253bo4bobobo10bo5b3o6b2o50bo3bo$6bob2obobo96bo4bo15bo3bo13bo3b2o60b3o
20bo171b2ob2obo8b4o2bo8bo3b2o50bob2o$7bo4bo98b2o12b6o18bobobobo53b3ob
6o18bobo171b8obo4b2o4bo6bob3o54b2obo$111bo11b2o4b3ob2o3bo4b3o4b2obob3o
51bo2b3ob3o17bo3b3o176b3o9bo5b2obo2bo56bobo$107b3o13b2o6b2o5bob2obo5b
2ob2o2b3o50b2o3bo22bob3o177b3o14b2o2bo59bobo$105b2obob2o10bo4bobo7b2o
3bo5b2o6bo56bo24b2o179b3o9bo5b2obo2bo$105b2o3b2o11bo2bo3b3o2b2obobo3bo
b2obo6b3o52b3o2b3o192b8obo4b2o4bo6bob3o$105b2obobo12bo2bo8bo11bo7bo60b
o17b2obo172b2ob2obo8b4o2bo8bo3b2o$107b2ob2o24b2obo2b2obo3bo5b2o16b2obo
56bobo2bo170bo4bobobo10bo5b3o6b2o$109b3o26bo5b6o6bo15bo2b3o39bo14b2o3b
o172b4o3bo4b2obob3obo2bo9bo$145b3o24bo2b2obo38b2o14bobobo173b2o6b2o2b
2ob2ob2obobo7bo$172b2o42bobo15b2ob2o185bobo3bo3bob2o4b2o$173b3o13b2o
46bo188bo4bob3o8bo$133b2o36bob3o12b2o28bo213bo$132bo2bo33b4obo15bo$
132bobo33bo2bo2bo42bo$133bo33bo46b2ob2o81b2o72b2o$105bo62bo2bo41bobobo
81bo2bo70bo2bo70b2o$103b2o3bo60b3o40b2o3bo81bobo71bobo71bo$103b2o2bo
63b2obo38bobo2bo81bo73bo69b2ob2o$103b4obo64bo40b2obo14b2ob2o207b3obo$
231bo213b2obo$218b2o10b2ob2o213b2o$100b2obo113bob3o9bo3bo195b2obo13b2o
$99bob2obo45b2o64bo3b3o11bo195bo2b3o9b3o$99bo3bo45b3o65bobo10bo199bo2b
2obo9bo$99bob2o44bo70bo9bo201b2o$100b2obo42b2obo77b2ob3o198b3o$103bobo
39b2o79b2o201bob3o$103bobo40b2ob3o75b2obo196b4obo$147bo80bo197bo2bo2bo
$149bo80b3o192bo$153bo77b2o193bo2bo$150bo3bo272b3o$149b2ob2o275b2obo$
150bo37b3o240bo$151b2ob2o31bo2bob2o$187b3o$188b5o$190b2o$189bobo$190bo
$188bo$185b4o2bo$184b2ob2o2bo$185b2o2b2o3$191b3o$185b3ob6o$185bo2b3ob
3o$185b2o3bo$189bo$187b3o2b3o$192bo!
LifeWiki: Like Wikipedia but with more spaceships. [citation needed]

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GUYTU6J
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Location: My Glimmering Garden

Re: Spaceship Discussion Thread

Post by GUYTU6J » September 16th, 2016, 3:10 am

I am trying to find a c/8 spaceship wearing a hat ,and here is a partial

Code: Select all

x = 15, y = 21, rule = B3/S23
13bo$12bo$11bo$10bo3bo$8bo4b2o$5b5obobo$6bobo2bo$7bo5bo$3bobob2o3bo$b
3obob2o2b3o$o5b3o2b2o$b3obob2o2b3o$3bobob2o3bo$7bo5bo$6bobo2bo$5b5obob
o$8bo4b2o$10bo3bo$11bo$12bo$13bo!
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.
An awesome gun firing cool spaceships:

Code: Select all

x = 3, y = 5, rule = B2kn3-ekq4i/S23ijkqr4eikry
2bo$2o$o$obo$b2o!

Sokwe
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Posts: 1480
Joined: July 9th, 2009, 2:44 pm

Re: Spaceship Discussion Thread

Post by Sokwe » September 16th, 2016, 8:43 am

Is this small 2c/6 component known?

Code: Select all

x = 14, y = 63, rule = B3/S23
5b2o$b2obo2bob2o$b2o6b2o$bobo4bobo$3b2o2b2o$2b2ob2ob2o$4bo2bo$2bo6bo$
2bo6bo2$2b8o$b2o6b2o4$6bo$5b3o$8bo2$6bo$6b2o$6b2o$7bo$6bobobo$5bo4b2o$
5bo4bo$8bo$5bo3b2o$4b2ob2obo$3b2o3bo$4bo2bobo$4b2ob2o$2b2obo3b2o$b2obo
4bob2o$o3bob2obo$bobob3obo$6b2o2bo$4b2o$2b2o6bo$5bo3b3o$6bo5b2o$4bob3o
2b2o$3b2ob3obobo$2bo2bo2bob2o$6bobobo$6bobobo$5b2obobo$8bobob2o$8bobob
2o$7b2obo$8bo2bo$5b2obo2b3o$4bobob2o$2b3obobo2bo$b2obo3bo$o3bo2b3o$8bo
$7bobo$6bo3bo$6bobobo$5b2obob2o$5bo5bo$6bo3bo!
It was found when testing a modification of zfind. The p3 part at the back could probably be reduced.
-Matthias Merzenich

muzik
Posts: 3500
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

Re: Spaceship Discussion Thread

Post by muzik » September 16th, 2016, 9:24 am

BlinkerSpawn wrote:
muzik wrote:As mentioned before, I've moved house and don't have internet on my desktop computer yet.

A weird question: are there any XWSS based ships that don't have a period a multiple of 4? Of course this would require rephasing the ship somehow.
Does "2c5-engineless-rake-p185.rle" count as a "XWSS-based ship"?

Code: Select all

long
Probably not. It doesn't move at c/2 with a XWSS-like front end.
Bored of using the Moore neighbourhood for everything? Introducing the Range-2 von Neumann isotropic non-totalistic rulespace!

HartmutHolzwart
Posts: 422
Joined: June 27th, 2009, 10:58 am
Location: Germany

Re: Spaceship Discussion Thread

Post by HartmutHolzwart » September 17th, 2016, 11:35 am

Sphenocorona wrote:Although I'm not experienced with building helices to be specific periods, I think I have to agree with the above: to actually gain over the 11c/24 burn reaction, the amount of time spent burning must be very long relative to the lengths of the fuses.

However, I do believe there is room for improvement in helix design. By starting with a somewhat odd LWSS-on-MWSS flotilla I was able to find a helix edge component in a few different variations (low *WSS options on top, smaller area options below. Left-most is for comparison):

Code: Select all

x = 188, y = 60, rule = B3/S23
75bo50bo49bo$5b3o46b3o11b3o3b3o28b3o11b3o3b3o27b3o11b3o3b3o$5bo2bo4bo
40bo2bo4bo5bo2bo2bob2o27bo2bo4bo5bo2bo2bob2o26bo2bo4bo5bo2bo2bob2o$5bo
6b3o39bo6b3o4bo6b3o27bo6b3o4bo6b3o26bo6b3o4bo6b3o$2o3bo5b2obo34b2o3bo
5b2obo4bo3bo2b3o22b2o3bo5b2obo4bo3bo2b3o21b2o3bo5b2obo4bo3bo2b3o$b2o3b
obo2b3o36b2o3bobo2b3o6bo2bo2b2o24b2o3bobo2b3o6bo2bo2b2o23b2o3bobo2b3o
6bo2bo2b2o$o10b3o35bo10b3o19bo17bo10b3o36bo10b3o19bo$11b3o46b3o18b3o
27b3o47b3o18b3o$12b2o10bo36b2o18bob2o27b2o48b2o18bob2o$23b3o56b3o45bo
52b3o$22b2obo56b2o45b3o51b2o$22b3o103b2obo$23b2o103b3o$129b2o54b3o$16b
3o165bo2bo$15bo2bo115b3o50bo$18bo114bo2bo50bo$18bo48b3o48b3o15bo31b3o
13bobo$15bobo48bo2bo47bo2bo11bo3bo30bo2bo$69bo50bo15bo33bo$28b3o38bo
50bo12bobo34bo$27bo2bo35bobo48bobo47bobo$30bo$30bo$27bobo16$75bo50bo$
54b3o11b3o3b3o28b3o11b3o3b3o$54bo2bo4bo5bo2bo2bob2o27bo2bo4bo5bo2bo2bo
b2o$54bo6b3o4bo6b3o27bo6b3o4bo6b3o$49b2o3bo5b2obo4bo3bo2b3o22b2o3bo5b
2obo4bo3bo2b3o$50b2o3bobo2b3o6bo2bo2b2o24b2o3bobo2b3o6bo2bo2b2o$49bo
10b3o19bo17bo10b3o19bo$60b3o18b3o27b3o18b3o$61b2o18bob2o27b2o18bob2o$
73b3o6b3o39b3o6b3o$72bo2bo6b2o39bo2bo6b2o$75bo50bo$75bo50bo$72bobo9b3o
36bobo9b3o$83bo2bo47bo2bo$78b3o5bo3b3o36b3o5bo$77bo2bo5bo2bo2bo35bo2bo
5bo$80bo2bobo6bo38bo2bobo$80bo11bo38bo$77bobo9bobo36bobo!
I don't know if it's known, but I figure there's probably some other useful corner-turn reactions out there we don't know about yet. If it produced the same glider four gens earlier it would allow for a 4x 17c/45 helix, but since it doesn't, the maximum speed for a period 180 helix is only 3c/7...

EDIT: Interestingly, the Coe ship by itself can function as a helix edge. Not only that, but the glider ends up displaced over 20 cells at nearly lightspeed. Unfortunately the big plume created from the reaction prevents it from being all that useful:

Code: Select all

x = 22, y = 10, rule = B3/S23
bo11b3o4bo$b2o10bo2bo2b3o$obo10bo4b2obo$13bo3b4o$13bo5b2o$13bo2bo$14b
2o$14bo$15bo$15bo!
would it be possible to include these finds in codeholic's helix building block database? I think an upgrade would revive the topic!

In theory. more pieces give more options and maybe we can thus avoid unfortunate combinations we cannot easily synthesize.

Sokwe
Moderator
Posts: 1480
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Re: Spaceship Discussion Thread

Post by Sokwe » September 20th, 2016, 8:52 am

Here's a small 4c/8 tagalong:

Code: Select all

x = 18, y = 26, rule = B3/S23
15bo$14b3o$3o3b3o5bob2o$o2bobo2bo6b3o$o7bo6b2o$o7bo$bobo4bo3bo$4bo3bo
2b3o$8bo5bo$5bobo$12bo$12b3o$12bo$12bo2$11b2o$11b2o$13bo$11bo2bo$9bo3b
o$8bo$9bobo$13bo$11bo2bo$10bo2bo$10bobo!
I found it while trying to determine the minimum widths for different 4c/8 symmetry types. zfind indicates that the minimum widths for even and gutter symmetric searches are 20 and 19 respectively:

Code: Select all

x = 59, y = 94, rule = B3/S23
2b3o10b3o28bo5bo$2bo2bo8bo2bo27b3o3b3o$2bo14bo26bo2b2ob2o2bo$2bo3bo6bo
3bo26bob2o3b2obo$2bo3bo6bo3bo28bo5bo$3bo3bo4bo3bo27bo2bo3bo2bo$8bo2bo
35bo3bo$9b2o34bobo3bobo$6bobo2bobo33bo3bo$6bo6bo29bo11bo$7b2o2b2o29b3o
bo5bob3o$5b2o6b2o26b2obo9bob2o$4b3obo2bob3o27b3o7b3o$3b2o2bo4bo2b2o26b
2o9b2o$2bo2bo8bo2bo24bo13bo$2bo2b2o6b2o2bo24bo2bo7bo2bo$o3bo10bo3bo21b
2o2bo7bo2b2o$o3b3o6b3o3bo20b4o2bo5bo2b4o$2bo14bo24b5o5b5o$o2bo12bo2bo
22b2o3b2ob2o3b2o$ob2o12b2obo24b2ob2ob2ob2o$b3o12b3o25b2o7b2o$46bobobob
o$46bo5bo$b2o14b2o26bo7bo$bo16bo26b2obobob2o$obo14bobo25b3o3b3o$4bo4b
2o4bo$4b2ob2o2b2ob2o$2b4o8b4o28b3ob3o$b2o2b2obo2bob2o2b2o25b2o2bobo2b
2o$o18bo27b2ob2o$3b2o2bo4bo2b2o30b2ob2o$2o6bo2bo6b2o27bo3bo$5bobo4bobo
29b2ob2ob2ob2o$3b2o10b2o26b2obo5bob2o$6bo6bo28b3o9b3o$3bo2bo6bo2bo24b
2o3bobobobo3b2o$3bo12bo23bo3b2obo3bob2o3bo$4b2ob2o2b2ob2o28bo9bo$2b2ob
ob2o2b2obob2o25b3ob2ob2ob3o$5bobob2obobo25b3o13b3o$5bo8bo26bo3bo7bo3bo
$4b2o8b2o30b3ob3o$4bobo6bobo29bobo3bobo$7bob2obo$9b2o32bobo7bobo$8bo2b
o31b4o5b4o$42bo3bo5bo3bo$6b2o4b2o27b2ob2ob2ob2ob2ob2o$6bob4obo27b2ob2o
2bobo2b2ob2o$8b4o33bo7bo$4bob2o4b2obo29b2obobob2o$3b2ob2ob2ob2ob2o27bo
3bobo3bo$2bobo3bo2bo3bobo25b6ob6o$b2o2bo2bo2bo2bo2b2o24bo4bobo4bo$o2bo
2bobo2bobo2bo2bo22bo13bo$4bo10bo25b2o4bo3bo4b2o$2o5bo4bo5b2o21b2o13b2o
$4bo2bo4bo2bo26bo13bo$5bo8bo28bobo7bobo$45b2o5b2o$5b2o6b2o30bo7bo$4bo
2bo4bo2bo28b2o7b2o$4bo2bo4bo2bo29bo7bo$5b2o6b2o27bo13bo$46b2o3b2o$44bo
b3ob3obo$44b5ob5o2$44b3o5b3o$43bobo7bobo$43bo2bo5bo2bo$47bo3bo$42b4obo
3bob4o$41bo3bob2ob2obo3bo$41bo2bo2bo3bo2bo2bo$40b2obobob2ob2obobob2o$
43b4o5b4o$40b3o5bobo5b3o$40bo5bobobobo5bo$45bo7bo$45b3o3b3o$45b2o5b2o$
46b3ob3o$46bobobobo$46bobobobo$44bo3bobo3bo$44bo2bo3bo2bo2$44b2o7b2o$
43bo2bo5bo2bo$43bo2bo5bo2bo$44b2o7b2o!
As I have mentioned previously, I'm not sure yet whether I trust zfind to cover the entire search space (especially when using some of my modifications, as is the case here).

I have less evidence for the asymmetric and even glide symmetric cases, but I believe the minimum widths are 12 and 20 respectively:

Code: Select all

x = 54, y = 68, rule = B3/S23
3bo32b3o10b3o$2b3o3b3o25bo2bo8bo2bo$2bob2o2bo2bo24bo14bo$3b3o2bo27bo3b
o6bo3bo$3b3o2bo27bo3bo6bo3bo$3b2o4bobo25bo3bo4bo3bo$42bo2bo$6b2o35b2o$
5bob2o31bobo2bobo$4b2ob2o31bo6bo$4bo2bo33b2o2b2o$3bob3o31b2o6b2o$6bo
31b3obo2bob3o$4b2o31b2o2bo4bo2b2o$3bo32bo2bo8bo2bo$36bo2b2o6b2o2bo$3bo
bo28bo3bo10bo3bo$2bo31bo3b3o6b3o3bo$2bob2o30bo14bo$2bo2b2o27bo2bo12bo
2bo$2bo2b3o26bob2o12b2obo$5b2obo26b3o12b3o$4bobobo$3b3o3bo$3b2ob2o27b
2o14b2o$6b2o27bo16bo$6b2o26bobo14bobo$6b2ob2o27bo4b2o4bo$7bo2bo27b2ob
2o2b2ob2o$7bo3bo24b4o8b4o$8bobo24b2o2b2obo2bob2o2b2o$34bo18bo$7b2o28b
2o2bo4bo2b2o$6b3o25b2o6bo2bo6b2o$6bo2bo29bobo4bobo$5b6o26b2o10b2o$4bo
5bo29bo6bo$4bobo3bo26bo2bo6bo2bo$3b2obobob2o25bo12bo$4bo2b2o2bo26b2ob
2o2b2ob2o$3b2obob2o26b2obob2o2b2obob2o$6bob2obo27bobob2obobo$6b2o31bo
8bo$6b2o30b2o8b2o$38bobo6bobo$3bo3b2o32bob2obo$2b3o2b3o33b2o$2bob2o2b
2o32bo2bo$3b2o2b3o$3b3o34b2o4b2o$5bo34bob4obo$2o4bo2bo32b4o$2obo4bo29b
ob2o4b2obo$bobo33b2ob2ob2ob2ob2o$6b3o27bobo3bo2bo3bobo$8b2o25b2o2bo2bo
2bo2bo2b2o$9b2o23bo2bo2bobo2bobo2bo2bo$9b2o27bo10bo$9bo24b2o5bo4bo5b2o
$7bo30bo2bo4bo2bo$9bo29bo8bo$8bo$39b2o6b2o$7b2o29bo2bo4bo2bo$6bo2bo36b
o2bo$6bo2bo27bo4bo4b2o$7b2o28bo4bo$39b2o!
This is because there are very few 2c/4 asymmetric ships at width 11, and no even symmetric 2c/4 ships at width 18 (except two *WSSs next to each other).
-Matthias Merzenich

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Re: Spaceship Discussion Thread

Post by Sokwe » September 20th, 2016, 3:40 pm

I was surprised to find this period-10 tagalong to Dean's small 2c/5 ship:

Code: Select all

x = 15, y = 36, rule = B3/S23
3b3o3b3o$2bo3bobo3bo$2b2o7b2o$2bo3bobo3bo$3b2o5b2o$3obo5bob3o$2ob2o5b
2ob2o$bob2o5b2obo$3b2o5b2o$o3bo5bo3bo$3bo7bo2$6b3o$5b2ob2o$5b2ob2o2$4b
2obob2o$3bo3bo3bo$2b2ob2ob2ob2o$3bobo3bobo$2bobo5bobo$2bo9bo$5b2ob2o$
3bobo3bobo$3bo7bo$5bo3bo$6bobo$6b3o$5bobobo$5bo3bo$4bo2bo2bo$5b5o3$4b
2o3b2o$3b2o5b2o!
It has a width of 15, which is the minimal width for an odd symmetric 4c/10 ship. The search was set to stop after finding a p10 ship, so there could still be others at this width.
-Matthias Merzenich

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Re: Spaceship Discussion Thread

Post by Sokwe » September 20th, 2016, 8:37 pm

I am running the 4c/10 search again to allow it to find more ships. So far it has found two things. First, if you remove the pre-beehives from the back of the ship above, you get another p10 ship:

Code: Select all

x = 15, y = 32, rule = B3/S23
3b3o3b3o$2bo3bobo3bo$2b2o7b2o$2bo3bobo3bo$3b2o5b2o$3obo5bob3o$2ob2o5b
2ob2o$bob2o5b2obo$3b2o5b2o$o3bo5bo3bo$3bo7bo2$6b3o$5b2ob2o$5b2ob2o2$4b
2obob2o$3bo3bo3bo$2b2ob2ob2ob2o$3bobo3bobo$2bobo5bobo$2bo9bo$5b2ob2o$
3bobo3bobo$3bo7bo$5bo3bo$6bobo$6b3o$5bobobo$5bo3bo$4bo2bo2bo$5b5o!
Second, this new ship can pull blinkers:

Code: Select all

x = 45, y = 34, rule = B3/S23
3b3o3b3o21b3o3b3o$2bo3bobo3bo19bo3bobo3bo$2b2o7b2o19b2o7b2o$2bo3bobo3b
o19bo3bobo3bo$3b2o5b2o21b2o5b2o$3obo5bob3o15b3obo5bob3o$2ob2o5b2ob2o
15b2ob2o5b2ob2o$bob2o5b2obo17bob2o5b2obo$3b2o5b2o21b2o5b2o$o3bo5bo3bo
15bo3bo5bo3bo$3bo7bo21bo7bo2$6b3o27b3o$5b2ob2o25b2ob2o$5b2ob2o25b2ob2o
2$4b2obob2o23b2obob2o$3bo3bo3bo21bo3bo3bo$2b2ob2ob2ob2o19b2ob2ob2ob2o$
3bobo3bobo21bobo3bobo$2bobo5bobo19bobo5bobo$2bo9bo19bo9bo$5b2ob2o25b2o
b2o$3bobo3bobo21bobo3bobo$3bo7bo21bo7bo$5bo3bo25bo3bo$6bobo27bobo$6b3o
27b3o$5bobobo25bobobo$5bo3bo25bo3bo$4bo2bo2bo23bo2bo2bo$5b5o25b5o2$b3o
27b3o7b3o!
zfind also reported that the dart was the only odd symmetric width-15 ship in a 3c/9 search. That indicates that 17 is the minimum width for odd symmetric 3c/9 ships:

Code: Select all

#C Width-17 odd-symmetric 3c/9 orthogonal spaceship by David Bell
x = 17, y = 29, rule = B3/S23
8bo$7bobo$6bo3bo$7b3o2$5b2o3b2o$2b2o3bobo3b2o$2b2o3bobo3b2o$2o5bobo5b
2o$4b2obobob2o$o6bobo6bo$3b2o2bobo2b2o$bo2bobo3bobo2bo$b2o11b2o$b2o11b
2o$4bo7bo$4b3o3b3o$6bo3bo$3b2obo3bob2o$5b2o3b2o$5bobobobo2$5bo2bo2bo$
6b2ob2o$5b2o3b2o2$4bo2b3o2bo$3b11o$3b2obo3bob2o!
Again, I'm not entirely confident in zfinds ability to eliminate all ships, so I am not including it in the table.

Edit: the 4c/10 width-15 odd symmetric search finished without finding any more ships.

Edit 2: zfind indicates that no 4c/10 width-19 gutter symmetric ships exist (except two period-5 ships). If that is the case, then the minimum width for a 4c/10 gutter spaceship is 21:

Code: Select all

#C width-21 gutter-symmetric 4c/10 orthogonal spaceship by Paul Tooke
x = 21, y = 23, rule = B3/S23
5b3o5b3o$5bobo5bobo$5bo2bo3bo2bo$5bo3bobo3bo$2bo3b2obobob2o3bo$2ob2o2b
obobobo2b2ob2o$2ob2o3b2ob2o3b2ob2o$bo7bobo7bo$3o6bobo6b3o$b2o5b2ob2o5b
2o$9bobo$5b4o3b4o$5bo9bo$7bo5bo$7bobobobo$7b3ob3o$8b2ob2o2$8bo3bo2$7bo
bobobo$7bobobobo$8b2ob2o!
-Matthias Merzenich

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Kazyan
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Re: Spaceship Discussion Thread

Post by Kazyan » September 21st, 2016, 1:34 pm

Very nice. The blinker-pulling ship looks like it has potential for puffers, at at least use in high-period c/3 designs such as rakes.
Tanner Jacobi

wildmyron
Posts: 1274
Joined: August 9th, 2013, 12:45 am

Re: Spaceship Discussion Thread

Post by wildmyron » September 30th, 2016, 12:30 pm

Frustration: a c/6 search exploring extensions of a known ship at width 19 alternating with width 21 gutter and culminating in this partial (many others too, but this is the longest):

Code: Select all

x = 284, y = 21, rule = B3/S23
133b2o42b2o$2o5b2o32bo8bo18bo12bo48bo3bo5bobo16bo9bo6b3o3b2o7bo2bo22b
3o58b2o$3o3b3o6bo3bo20bobo3b2obobo16bobo10bo2bo10bo14b3o2bo5b2o12b2o4b
o2b2o9bo3bo2bo6b3o2b4o3b2obo3bobo2bo2b2ob3o4bo9b2o2b2o7b3o2bob2o24bo
16bobo$2bo3bo2bo4bobobobo2bo2b2o7b3obo2bo2bo5bo5bo7bo2bobo11b5o8bob2o
11b3o2bo4bo2bo3bo7b2o3bo12b2o2bobo2bo4b2o4bo2bo3bob2ob2o4b2ob2ob5o2b2o
bobo2bo2b2o2bo2bo5b5obobo11bo13bo15b2ob2o$bobobob2o4bo2bobo3bo3b2o3b3o
2b2ob2obo3b2o3bo5bo2bo4bob3o15b2o20b2ob2obo2bo2b2o2b2ob3o4bob2o4b4o3bo
2b4o4bo3b2ob3o2bo4bo4bo2bobo3bobo9b3o4bo3b2o2bo5b4o4b4o3bo7bob2o12bo$
2b2obo8b2o3b5o2b2o2bob2obo2b2obo6bo2bo6bo2bo4bo3bo5b2o3bobo8bob4ob2o5b
3o2b3ob2obo5bo2b2o2bo4bobo3bob6obo3bo3bobobo8b2o6b2obo4bo4b3o2bobobo2b
o6bo2b2o6bo5b2obo3bo9b4o4bobobo18bobo$2bobo4b4o2bo7bob3o2bo4b2ob2o8bo
8b2o3bob5o3b2o2b3o2b4obo4b2o3b2ob3o4b2o6bo6b4o3bo4bo2bob4o4bo4bo4bo2bo
bobob2ob3o3b2o7bo2b2o2b2ob2o2b2o5bob3o16bo3bo6b3o3bo2b2o2b3o2bobobobo
2b3o9b3ob3o$2bo2b2obobo2b2o6b2o3b2o2b5o3bo10bo3bo4bob2obo3bo4b2o3bo7b
3ob2ob2o4bo3b4obo5bob2o2bobob3o3b2o3bo6b2o3bo2b4obo2bobobob2o8b3o8bobo
bobobo7bo2bo2b2o19b2o12b2o3bo3b2o5bo5bo2bo$3bo2bo4bo3b2o6bo2b2o3bo3bo
2bo3b3o2bo2bo3b2ob3obobo3b3o3b4o3bo2bo6bo2bo4bo8bo7bo2bo3bo2bo4bo4bo6b
o3bo5bobo2b2o2b3o21bo2bo11bo4bobo32bo12bo2bo3bo4bo2b2o3b2ob2obo$3ob2ob
2obo6b2obo2bo4bo3bo2bobo4b2obobo4bo2bobo5bo2bo3bo4bo4bo5bo2b4o5bo3bo4b
o3b4o6b4o8b2o8bobo7bo3b2o26b3o14b5o32b8o6bo2bo4b4o3b3obo6bo$11bo5b2o4b
o3bo20bo2b2o30b4o17bobo163b3ob2o3bo3bo$3ob2ob2obo6b2obo2bo4bo3bo2bobo
4b2obobo4bo2bobo5bo2bo3bo4bo4bo5bo2b4o5bo3bo4bo3b4o6b4o8b2o8bobo7bo3b
2o26b3o14b5o32b8o6bo2bo4b4o3b3obo6bo$3bo2bo4bo3b2o6bo2b2o3bo3bo2bo3b3o
2bo2bo3b2ob3obobo3b3o3b4o3bo2bo6bo2bo4bo8bo7bo2bo3bo2bo4bo4bo6bo3bo5bo
bo2b2o2b3o21bo2bo11bo4bobo32bo12bo2bo3bo4bo2b2o3b2ob2obo$2bo2b2obobo2b
2o6b2o3b2o2b5o3bo10bo3bo4bob2obo3bo4b2o3bo7b3ob2ob2o4bo3b4obo5bob2o2bo
bob3o3b2o3bo6b2o3bo2b4obo2bobobob2o8b3o8bobobobobo7bo2bo2b2o19b2o12b2o
3bo3b2o5bo5bo2bo$2bobo4b4o2bo7bob3o2bo4b2ob2o8bo8b2o3bob5o3b2o2b3o2b4o
bo4b2o3b2ob3o4b2o6bo6b4o3bo4bo2bob4o4bo4bo4bo2bobobob2ob3o3b2o7bo2b2o
2b2ob2o2b2o5bob3o16bo3bo6b3o3bo2b2o2b3o2bobobobo2b3o9b3ob3o$2b2obo8b2o
3b5o2b2o2bob2obo2b2obo6bo2bo6bo2bo4bo3bo5b2o3bobo8bob4ob2o5b3o2b3ob2ob
o5bo2b2o2bo4bobo3bob6obo3bo3bobobo8b2o6b2obo4bo4b3o2bobobo2bo6bo2b2o6b
o5b2obo3bo9b4o4bobobo18bobo$bobobob2o4bo2bobo3bo3b2o3b3o2b2ob2obo3b2o
3bo5bo2bo4bob3o15b2o20b2ob2obo2bo2b2o2b2ob3o4bob2o4b4o3bo2b4o4bo3b2ob
3o2bo4bo4bo2bobo3bobo9b3o4bo3b2o2bo5b4o4b4o3bo7bob2o12bo$2bo3bo2bo4bob
obobo2bo2b2o7b3obo2bo2bo5bo5bo7bo2bobo11b5o8bob2o11b3o2bo4bo2bo3bo7b2o
3bo12b2o2bobo2bo4b2o4bo2bo3bob2ob2o4b2ob2ob5o2b2obobo2bo2b2o2bo2bo5b5o
bobo11bo13bo15b2ob2o$3o3b3o6bo3bo20bobo3b2obobo16bobo10bo2bo10bo14b3o
2bo5b2o12b2o4bo2b2o9bo3bo2bo6b3o2b4o3b2obo3bobo2bo2b2ob3o4bo9b2o2b2o7b
3o2bob2o24bo16bobo$2o5b2o32bo8bo18bo12bo48bo3bo5bobo16bo9bo6b3o3b2o7bo
2bo22b3o58b2o$133b2o42b2o!
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.

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GUYTU6J
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Re: Spaceship Discussion Thread

Post by GUYTU6J » October 5th, 2016, 8:23 am

Is there anyone searching for c/8 spaceships?
I can only get such partial

Code: Select all

x = 15, y = 21, rule = B3/S23
12b2o$14bo$11bo2bo$8b3o3bo$7bo3bo$8bob3o$5bo3bo2b2o$5b2o6bo$3bobobo4bo
$b3o3bo3bo$o4bobo2bo2b2o$b3o3bo3bo$3bobobo4bo$5b2o6bo$5bo3bo2b2o$8bob
3o$7bo3bo$8b3o3bo$11bo2bo$14bo$12b2o!
EDIT:Maybe more promising?

Code: Select all

x = 19, y = 17, rule = B3/S23
15b3o$8b4o2b2o$7bo3bo2b3obo$8bob3o$5bo3bo2b2o2bobo$5b2o$3bobobo4bob3ob
o$b3o3bo3bo$o4bobo3bo2bo$b3o3bo3bo$3bobobo4bob3obo$5b2o$5bo3bo2b2o2bob
o$8bob3o$7bo3bo2b3obo$8b4o2b2o$15b3o!
Last edited by GUYTU6J on October 6th, 2016, 12:09 pm, edited 1 time in total.
Current status: outside the continent of cellular automata. Specifically, not on the plain of life.
An awesome gun firing cool spaceships:

Code: Select all

x = 3, y = 5, rule = B2kn3-ekq4i/S23ijkqr4eikry
2bo$2o$o$obo$b2o!

wildmyron
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Re: Spaceship Discussion Thread

Post by wildmyron » October 5th, 2016, 10:07 am

GUYTU6J wrote:Is there anyone searching for c/8 spaceships?
As it happens I'm currently trying to extend one of the partials previously shared with the forum. Original here, further discussion in this thread.
GUYTU6J wrote:I can only get such partial

Code: Select all

rle: Triangular shaped, c/8 partial
I believe that the partials you contributed earlier in this thread are considerably more promising than this one.

Here's the longest partial I've come across in my search:

Code: Select all

x = 18, y = 51, rule = B3/S23
3obo2bo2bo2bob3o$b2obo2bo2bo2bob2o$2bo3bo4bo3bo$7bo2bo$2bo4b4o4bo$2bob
obo4bobobo$2bo5b2o5bo$3bobo6bobo$8b2o$4b2o6b2o$4b2ob4ob2o$4b2o6b2o$3bo
3b4o3bo$6b6o$3bobo2b2o2bobo$obo2b3o2b3o2bobo$ob2o10b2obo$3b2o8b2o$5bo
6bo2$2bob4o2b4obo$bo14bo$bo4b2o2b2o4bo$bo4b2o2b2o4bo$2bob3o4b3obo$2b2o
bo6bob2o$3b3o6b3o$3bo2bo4bo2bo$4b3o4b3o$2b2o10b2o$bo2bo8bo2bo$b3o10b3o
4$3b3o6b3o3$3bo2bo4bo2bo$2bo3bo4bo3bo$3bo2bo4bo2bo$4b4o2b4o$5b8o$6bo4b
o$6bo4bo$6b2o2b2o$8b2o$3b2o8b2o$2bo2bo6bo2bo$3bobo6bobo$4bo8bo!
Edit: some other interesting partials (including the one above):

Code: Select all

x = 201, y = 53, rule = B3/S23
5bo8bo20bo8bo20bo8bo20bo8bo20bo8bo20bo8bo20bo8bo$4bobo6bobo18bobo6bobo
18bobo6bobo18bobo6bobo18bobo6bobo18bobo6bobo18bobo6bobo$3bo2bo6bo2bo
16bo2bo6bo2bo16bo2bo6bo2bo16bo2bo6bo2bo16bo2bo6bo2bo16bo2bo6bo2bo16bo
2bo6bo2bo$4b2o8b2o18b2o8b2o18b2o8b2o18b2o8b2o18b2o8b2o18b2o8b2o18b2o8b
2o$9b2o28b2o28b2o28b2o28b2o28b2o28b2o$7b2o2b2o24b2o2b2o24b2o2b2o24b2o
2b2o24b2o2b2o24b2o2b2o24b2o2b2o$7bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo
4bo24bo4bo$7bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo4bo$6b8o22b8o
22b8o22b8o22b8o22b8o22b8o$5b4o2b4o20b4o2b4o20b4o2b4o20b4o2b4o20b4o2b4o
20b4o2b4o20b4o2b4o$4bo2bo4bo2bo18bo2bo4bo2bo18bo2bo4bo2bo18bo2bo4bo2bo
18bo2bo4bo2bo18bo2bo4bo2bo18bo2bo4bo2bo$3bo3bo4bo3bo16bo3bo4bo3bo16bo
3bo4bo3bo16bo3bo4bo3bo16bo3bo4bo3bo16bo3bo4bo3bo16bo3bo4bo3bo$4bo2bo4b
o2bo18bo2bo4bo2bo18bo2bo4bo2bo18bo2bo4bo2bo18bo2bo4bo2bo18bo2bo4bo2bo
18bo2bo4bo2bo3$4b3o6b3o18b3o6b3o18b3o6b3o18b3o6b3o18b3o6b3o18b3o6b3o
18b3o6b3o3$2bo14bo77bo8bo$bobob3o4b3obobo13b3o10b3o14b3o10b3o16b3o6b3o
16b3o10b3o14b3o10b3o14b3o10b3o$bo2bo10bo2bo13bo2bo8bo2bo14bo2bo8bo2bo
15b2ob3o2b3ob2o16bo12bo14bo3bo8bo3bo12bo3bo8bo3bo$2bobob2o4b2obobo15b
2o10b2o16b2o10b2o16bobo2bo2bo2bobo15b2o12b2o12bobo14bobo10bobo14bobo$
3bob3o4b3obo18b3o4b3o20b3o4b3o19b2o3b2o3b2o16b2o12b2o11b2o2bo12bo2b2o
8b2o2bo12bo2b2o$34bo3bo2bo3bo18bo2bo4bo2bo22bo2bo25bo4bo16b2o18b2o8b2o
18b2o$4bobo6bobo16b3obobo2bobob3o16b3o6b3o18bo3b4o3bo15bobo3bo4bo3bobo
11bob2o12b2obo10bob2o12b2obo$3b2obo6bob2o15b2o2b2o4b2o2b2o15b2obo6bob
2o46b2o2bo4bo2b2o12b2o18b2o8b2o18b2o$4bo10bo17b2o10b2o16bob3o4b3obo17b
o2bo4bo2bo16b2o12b2o13bo16bo11bo2bo12bo2bo$7b2o2b2o20b2o10b2o15bo4b2o
2b2o4bo17b3o4b3o17bo2bo8bo2bo42bo3bo10bo3bo$5bobob2obobo19b4o4b4o16bo
4b2o2b2o4bo16bo10bo16bo14bo12bob2obo8bob2obo11bo2b2o8b2o2bo$2b2obo3b2o
3bob2o17b2o6b2o17bo14bo17bo8bo16bo3b2o6b2o3bo10bo3bob2o6b2obo3bo11bob
2o8b2obo$2bo2b2o6b2o2bo20bo2bo21bob4o2b4obo18bo8bo16b5o8b5o11bo2bob2o
6b2obo2bo14b2o8b2o$2b2obob6obob2o20b4o80bo2bo8bo2bo12b3o2b2o6b2o2b3o
13b3o8b3o$7bo4bo24bob2obo23bo6bo21b2o6b2o17bo14bo16b3o6b3o17bobo8bobo$
9b2o27bo2bo22b2o8b2o17bo4bo2bo4bo19bo6bo17bo3bo8bo3bo13bo14bo$3b2ob8ob
2o18bo2b4o2bo16bob2o10b2obo14b3o8b3o16bo12bo15bo2bo8bo2bo13bo3b2o6b2o
3bo$2b4obo4bob4o17bobo4bobo16bobo2b3o2b3o2bobo14bobob2o2b2obobo17b2ob
2o2b2ob2o16bobo10bobo13bo2bo10bo2bo$35bo8bo19bobo2b2o2bobo16b2o2bo6bo
2b2o15b2o10b2o15bo14bo13b2ob4o4b4ob2o$35bo8bo22b6o18bo2bo10bo2bo12b2o
3bo6bo3b2o11b2ob3o8b3ob2o11b2o3bo6bo3b2o$33b2o10b2o17bo3b4o3bo15bobo
12bobo11bo5bo6bo5bo10bo5bo6bo5bo13bo3bo4bo3bo$34bob3o2b3obo19b2o6b2o
45bo4bo8bo4bo10bob2o2b2o4b2o2b2obo11bo4bo6bo4bo$33bob2ob4ob2obo18b2ob
4ob2o16bob2ob2o4b2ob2obo15bo10bo45bob2o10b2obo$36b2o4b2o21b2o6b2o17bo
3b2o4b2o3bo74b2ob2o6b2ob2o$32b2o2bob4obo2b2o21b2o26b2o2b2o19b3o2b2o2b
2o2b3o42bo3bo10bo3bo$34bobo2b2o2bobo18bobo6bobo20b3o2b3o18b2obobo4bobo
b2o$37bo4bo20bo5b2o5bo15b3o3bo2bo3b3o14b2o4bo2bo4b2o$38b4o21bobobo4bob
obo14bo3bo3b2o3bo3bo11b2obo4bo2bo4bob2o$31b2obo2bo4bo2bob2o14bo4b4o4bo
22b2o26bo4bo$31b2o2bobo4bobo2b2o19bo2bo22bo3bo2bo3bo14bobo3bo6bo3bobo$
63bo3bo4bo3bo15b2o4bo2bo4b2o13bo3bobo4bobo3bo$62b2obo2bo2bo2bob2o13bob
o4bo2bo4bobo12bo3b3o4b3o3bo$61b3obo2bo2bo2bob3o18b2o2b2o21bob2o4b2obo$
92bo3b8o3bo12b2obo2bo6bo2bob2o$92bo2bo8bo2bo!
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.

HartmutHolzwart
Posts: 422
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Location: Germany

Re: Spaceship Discussion Thread

Post by HartmutHolzwart » October 20th, 2016, 4:26 pm

extensible c(4,0)/8

Code: Select all

x = 40, y = 120, rule = B3/S23
6$12b5o$12bo4bo$12bo$13bo3bo$18b2o$11bo9bo$10bo$10bo10bo$10b11o$15bo$
14b3o$13bo2b2o$12bobobo$9b4ob3o$8b2o4b2o$7b2o2b2o2bob2o$8bobobobo$9b2o
bobo$10bobob2o$11b2o$12bo2bo$12bo2bo$11b2o$10bobob2o$9b2obobo$8b2o2bob
o$9bo2bobo2bo$10bobobob2o$12bob3o$12bob3o$10bobobob2o$9bo2bobo2bo$8b2o
2bobo$9b2obobo$10bobob2o$11b2o$12bo2bo$12bo2bo$11b2o$10bobob2o$9b2obob
o$8b2o2bobo$9bo2bobo2bo$10bobobob2o$12bob3o$12bob3o$10bobobob2o$9bo2bo
bo2bo$8b2o2bobo$9b2obobo$10bobob2o$11b2o$12bo2bo$12bo2bo$11b2o$10bobob
2o$9b2obobo$8b2o2bobo$9bo2bobo2bo$10bobobob2o$12bob3o$12bob3o$10bobobo
b2o$9bo2bobo2bo$8b2o2bobo$9b2obobo$10bobob2o$11b2o$12bo2bo$12bo2bo$11b
2o$10bobob2o$9b2obobo$8b2o2bobo$9bo2bobo2bo$10bobobob2o$12bob3o$12bob
3o$10bobobob2o$9bo2bobo2bo$8b2o2bobo$9b2obobo$10bobob2o$11b2o$12bo2bo$
12bo2bo$11b2o$10bobob2o$9b2obobo$8bobobobo$7b2o2b2o2bob2o$8b2o4b2o$9b
4ob3o$12bobobo$13bo2b2o$14b3o$15bo$10b11o$10bo10bo$10bo$11bo9bo$18b2o$
13bo3bo$12bo$12bo4bo$12b5o!

Gamedziner
Posts: 796
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Re: Spaceship Discussion Thread

Post by Gamedziner » October 21st, 2016, 6:56 am

HartmutHolzwart wrote:extensible c(4,0)/8

Code: Select all

x = 40, y = 120, rule = B3/S23
6$12b5o$12bo4bo$12bo$13bo3bo$18b2o$11bo9bo$10bo$10bo10bo$10b11o$15bo$
14b3o$13bo2b2o$12bobobo$9b4ob3o$8b2o4b2o$7b2o2b2o2bob2o$8bobobobo$9b2o
bobo$10bobob2o$11b2o$12bo2bo$12bo2bo$11b2o$10bobob2o$9b2obobo$8b2o2bob
o$9bo2bobo2bo$10bobobob2o$12bob3o$12bob3o$10bobobob2o$9bo2bobo2bo$8b2o
2bobo$9b2obobo$10bobob2o$11b2o$12bo2bo$12bo2bo$11b2o$10bobob2o$9b2obob
o$8b2o2bobo$9bo2bobo2bo$10bobobob2o$12bob3o$12bob3o$10bobobob2o$9bo2bo
bo2bo$8b2o2bobo$9b2obobo$10bobob2o$11b2o$12bo2bo$12bo2bo$11b2o$10bobob
2o$9b2obobo$8b2o2bobo$9bo2bobo2bo$10bobobob2o$12bob3o$12bob3o$10bobobo
b2o$9bo2bobo2bo$8b2o2bobo$9b2obobo$10bobob2o$11b2o$12bo2bo$12bo2bo$11b
2o$10bobob2o$9b2obobo$8b2o2bobo$9bo2bobo2bo$10bobobob2o$12bob3o$12bob
3o$10bobobob2o$9bo2bobo2bo$8b2o2bobo$9b2obobo$10bobob2o$11b2o$12bo2bo$
12bo2bo$11b2o$10bobob2o$9b2obobo$8bobobobo$7b2o2b2o2bob2o$8b2o4b2o$9b
4ob3o$12bobobo$13bo2b2o$14b3o$15bo$10b11o$10bo10bo$10bo$11bo9bo$18b2o$
13bo3bo$12bo$12bo4bo$12b5o!
Nice! I bet someone could make a puffer from that.

Code: Select all

x = 81, y = 96, rule = LifeHistory
58.2A$58.2A3$59.2A17.2A$59.2A17.2A3$79.2A$79.2A2$57.A$56.A$56.3A4$27.
A$27.A.A$27.2A21$3.2A$3.2A2.2A$7.2A18$7.2A$7.2A2.2A$11.2A11$2A$2A2.2A
$4.2A18$4.2A$4.2A2.2A$8.2A!

wildmyron
Posts: 1274
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Re: Spaceship Discussion Thread

Post by wildmyron » November 21st, 2016, 2:12 am

wildmyron wrote:
GUYTU6J wrote:Is there anyone searching for c/8 spaceships?
As it happens I'm currently trying to extend one of the partials previously shared with the forum. Original here, further discussion in this thread.
Taking another stab at this problem, unfortunately another negative result. I used zfind to try to extend the symmetrical loaf pusher at width 10, starting from the blinkers.

Command line:

Code: Select all

zfind b3s23 p8 k1 v w10 e initrows.txt
initrows.txt:

Code: Select all

..........
.....o....
..........
.....o....
..........
......o...
....o..o..
....oo....
....ooo...
.....o....
....ooo...
.....o....
....ooo...
....oo....
.....o....
..........
The search took about a month. I didn't keep a complete record of all the output but did observe a few long partials during the search:

Code: Select all

x = 60, y = 64, rule = B3/S23
5bo8bo30bo8bo$4bobo6bobo28bobo6bobo$3bo2bo6bo2bo26bo2bo6bo2bo$4b2o8b2o
28b2o8b2o$9b2o38b2o$7b2o2b2o34b2o2b2o$7bo4bo34bo4bo$7bo4bo34bo4bo$6b8o
32b8o$5b4o2b4o30b4o2b4o$4bo2bo4bo2bo28bo2bo4bo2bo$3bo3bo4bo3bo26bo3bo
4bo3bo$4bo2bo4bo2bo28bo2bo4bo2bo3$4b3o6b3o28b3o6b3o4$2b3o10b3o24b3o10b
3o$3bo12bo24bobo12bobo$2b2o12b2o23bo2bo10bo2bo$2b2o12b2o22b2o2bo10bo2b
2o$7bo4bo27b2o16b2o$bobo3bo4bo3bobo23bob2o8b2obo$3b2o2bo4bo2b2o28b3o4b
3o$2b2o12b2o$2bo2bo8bo2bo$2bo14bo25bo4b4o4bo$bo3b2o6b2o3bo27bobo2bobo$
b5o8b5o22b2o5bo2bo5b2o$2bo2bo8bo2bo23b2ob2o3b2o3b2ob2o$2bo14bo24b4o8b
4o$42bobo4b2o4bobo$3b2obo6bob2o26b2ob2ob2ob2ob2o$5bobo4bobo27bob4ob2ob
4obo$5bo2bo2bo2bo28bo3bo4bo3bo$7b2o2b2o30b3ob2o2b2ob3o$2bo14bo26bo3bo
2bo3bo$2b2o4bo2bo4b2o27b3o4b3o$3b2o10b2o28b2o6b2o$9b2o$5bo8bo32b2o2b2o
$6bob4obo$3b3o8b3o30bo4bo$4b2obo4bob2o28b2obo4bob2o$5bo8bo29b2o8b2o$3b
2o10b2o25b2ob2ob4ob2ob2o$4bo10bo26bo4b6o4bo$45bob6obo$b2o4bo4bo4b2o29b
o2bo$b2o3b8o3b2o25bobo2b2o2bobo$5b3o4b3o27b4o2b4o2b4o$4b2o8b2o32bo2bo$
bo2bo2b2o2b2o2bo2bo24b2o10b2o$b2o3bo6bo3b2o25bobo6bobo$6bobo2bobo27b2o
bob2o4b2obob2o$2o16b2o24bo2bo4bo2bo$40bo3bob2o4b2obo3bo$41b2ob2obob2ob
ob2ob2o$41b2o5bo2bo5b2o$43bo2bobo2bobo2bo$41b2o4b2o2b2o4b2o$45b2o6b2o!
The latest version of the 5S Project contains over 221,000 spaceships. Tabulated pages up to period 160 are available on the LifeWiki.

User avatar
Mr. Missed Her
Posts: 90
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Re: Spaceship Discussion Thread

Post by Mr. Missed Her » December 7th, 2016, 1:31 pm

In fact, if a spaceship with velocity (m,n)c/p exists in Conway's Game of Life (where m and n are the vertical and horizontal displacements and p is the period), then we must have m + n <= p/2.
It'd be interesting, though, if a spaceship was made that exceeded c/2 periodically, while moving at an average speed equal to or less than c/2.
There is life on Mars. We put it there with not-completely-sterilized rovers.
And, for that matter, the Moon, Jupiter, Titan, and 67P/Churyumov–Gerasimenko.

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Mr. Missed Her
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Location: Somewhere within [time in years since this was entered] light-years of you.

Re: Spaceship Discussion Thread

Post by Mr. Missed Her » December 7th, 2016, 1:45 pm

Fun fact: While there is only 3 weightships that are stable on their own, there are infinite stable weightship combinations if you include overweight spaceship flotillae (whatever the plural is), because you can have an overweight escorted by overweights escorted by overweights... until you get down to a stable weightship.

I'm late on this, but here's an example (the big thing at the bottom.):

Code: Select all

[M2] (golly 2.8)

#R B3/S23
$$$***....*$*..*...*$*......*$*......*$.*.*...*$
4 0 0 0 1
5 0 2 0 0
$$$**.....*$..*....*$.......*$...*...*$.......*$
$$$**$..*$$...*$...*$
4 0 0 4 5
$$$.......*$.......*$.***...*$*..*...*$...*...*$
$$$**$..*$.....***$....*..*$.......*$
4 0 0 7 8
*.*....*$
$*.*$
$$$$$$$.....***$
4 10 11 0 12
...*...*$*.*....*$.......*$
.......*$....*.*$$*.*$
$$$$$...***$..*..*$.....*$
$.......*$......*$.***$.*..*$.*$.*$.*$
4 14 15 16 17
5 6 9 13 18
6 0 0 3 19
$$$$$.....***$....*..*$.......*$
$$$...***$...*..*$...*$...*$...*$
4 0 0 21 22
$$$$$.***$*..*$...*$
4 0 0 24 7
.......*$.......*$....*.*$
...*$...*$...*$...*$....*.*$
$**$.*$.*...***$.*...*$.*...*$.*...*$.*...*$
$$$$*$...***$..*..*$.....*$
4 26 27 28 29
...*$...*$*.*$
...*...*$...*...*$...*...*$*.*....*$.......*$
$$$$$$$.***$
4 31 32 33 0
5 23 25 30 34
4 0 0 8 0
.......*$.......*$.......*$....*.*$$*.*$
4 37 0 0 0
5 36 0 38 0
6 0 0 35 39
.....*$..*.*$
4 0 16 0 41
5 0 42 0 0
.....*$**...*$.*...*$.*...*$.*...*$.*...*$.*...*$.*...*$
.*$.*$.*$..*.*$$......*$
.*...*$.*...*$.*...*$.*...*$.*...*$*....*$.....*$......*$
4 17 44 45 46
*....*$.....*$.....*$.....*$.....*$.....*$.....*$.....*$
.*$.*$.*$.*$.*$.*$.*$.*$
.....*$.....*$.....*$.....*$.....*$.....*$.....*$*....*$
4 48 49 50 49
4 41 45 0 0
5 47 51 0 52
6 43 53 0 0
.*...*$.*...*$.*...*$.*...*$.*...*$.*...*$.*...*$.*...*$
.....*$.....*$.....*$.....*$.....*$.....*$.....*$.....*$
4 55 56 55 56
.*..*$.*.....*$.*....*$.*$.*$.*$.*$.*$
.*$.*$.*$.*$.*$.*....*$.*$..*.*$
.*...*$.*...*$.*...*$.*....*$.*$*$
4 58 28 59 60
.....*$..*.*$$*$
4 60 62 0 0
5 57 61 63 0
4 29 0 62 0
5 65 0 0 0
6 64 66 0 0
7 20 40 54 67
PS: "Weightships" is how I collectively refer to __weight spaceships.
There is life on Mars. We put it there with not-completely-sterilized rovers.
And, for that matter, the Moon, Jupiter, Titan, and 67P/Churyumov–Gerasimenko.

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A for awesome
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Re: Spaceship Discussion Thread

Post by A for awesome » December 17th, 2016, 2:00 pm

Reporting negative results from gfind on 5c/11 width 13 odd, 14 even, and 15 gutter. I didn't expect anything, but one has to start somewhere.
x₁=ηx
V ⃰_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

$$x_1=\eta x$$
$$V^*_\eta=c^2\sqrt{\Lambda\eta}$$
$$K=\frac{\Lambda u^2}2$$
$$P_a=1-\frac1{\int^\infty_{t_0}p(t)^{l(t)}dt}$$

http://conwaylife.com/wiki/A_for_all

Aidan F. Pierce

NoLongerBreathedIn
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Re: Spaceship Discussion Thread

Post by NoLongerBreathedIn » December 18th, 2016, 5:18 pm

Mr. Missed Her wrote: It'd be interesting, though, if a spaceship was made that exceeded c/2 periodically, while moving at an average speed equal to or less than c/2.
The proof shows that the leading edge can't enter a half-diagonal more than once every other generation.
In other words, your statement makes no sense.

Sokwe
Moderator
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Re: Spaceship Discussion Thread

Post by Sokwe » December 20th, 2016, 4:46 am

Here's a fairly small 2c/6 ship:

Code: Select all

x = 21, y = 27, rule = B3/S23
6b3o3b3o$2bob2o3bobo3b2obo$b3o3bobobobo3b3o$o3bo4bobo4bo3bo$bo7bobo7bo
$8bobobo$8bobobo2$10bo$9bobo$7b2o3b2o$7b2o3b2o$6bo7bo$9bobo$4b2o3bobo
3b2o$5bobobobobobo$4bo4bobo4bo3$6b2o5b2o$6bo7bo$6bobo3bobo$8bo3bo$7bo
5bo$5b3o5b3o$6bo2bobo2bo$7b2o3b2o!
The component at the back end has been seen before, but I don't think anyone noticed that it can pull itself:

Code: Select all

x = 22, y = 41, rule = B3/S23
6b3o3b3o$2bob2o3bobo3b2obo$b3o3bobobobo3b3o$o3bo4bobo4bo3bo$bo7bobo7bo
$8bobobo$8bobobo2$10bo$9bobo$7b2o3b2o$7b2o3b2o$6bo7bo$9bobo$4b2o3bobo
3b2o$5bobobobobobo$4bo4bobo4bo3$6b2o5b2o$6bo7bo$6bobo3bobo$8bo3bo$7bo
5bo$5b3o5b3o$6bo2bobo2bo$7b2o3b2o3bo$16bobo$16bobo$15bo$15b2o$14bo2bo$
15b2o$19b2o$20bo$18bobo$18bo$19bo$19b3o$17bo2bo$18b2o!
Also, here are three other 2c/6 ships:

Code: Select all

x = 119, y = 46, rule = B3/S23
5bo17bo31bo17bo21bo17bo$b3ob3o13b3ob3o23b3ob3o13b3ob3o13b3ob3o13b3ob3o
$o6b2o11b2o6bo21bo6b2o11b2o6bo11bo6b2o11b2o6bo$b2o3bo2bo9bo2bo3b2o23b
2o3bo2bo9bo2bo3b2o13b2o3bo2bo9bo2bo3b2o2$10b2o5b2o41b2o5b2o31b2o5b2o$
10bob2ob2obo41bob2ob2obo31bob2ob2obo$9b2o7b2o39b2o7b2o29b2o7b2o$11bo5b
o43bo5bo33bo5bo$11bobobobo43bobobobo33bobobobo$12b5o45b5o35b5o$11b2obo
b2o43b2obob2o33b2obob2o$12bo3bo45bo3bo35bo3bo$11bo5bo43bo5bo33bo5bo$9b
3o5b3o39b3o5b3o29b3o5b3o$8b2obobobobob2o37b2obobobobob2o27b2obobobobob
2o$7bo3b2obob2o3bo35bo3b2obob2o3bo25bo3b2obob2o3bo2$10bobo3bobo41bobo
3bobo31bobo3bobo$11b2o3b2o43b2o3b2o33b2o3b2o$11bobobobo43bobobobo33bob
obobo$8b2obobobobob2o42bobo37bobo$8b2obobobobob2o42bobo37bobo$11bobobo
bo44b2ob2o35b2ob2o$10bo2bobo2bo$8b3obo3bob3o41b2ob2o35b2ob2o$14bo46bob
obobo33bobobobo$7b2o3b5o3b2o38b2o5b2o31b2o5b2o$6bo6b3o6bo34bo2b3o3b3o
2bo25bo2b3o3b3o2bo$9b2o2bobo2b2o37b2o2b2o3b2o2b2o25b2o2b2o3b2o2b2o$7bo
3b2o3b2o3bo34bob2o9b2obo23bob2o9b2obo$8bo11bo37bo11bo27bo11bo$12b2ob2o
40bo13bo25bo13bo$7b2o3bo3bo3b2o38b3o3b3o31b3o3b3o$59bo2bo3bo2bo29bo2bo
3bo2bo$9bo9bo38bo11bo27bo11bo$7b2o11b2o37b2o7b2o29b2o7b2o$7bobo9bobo$
60bob2ob2obo31bob2ob2obo$60bo2bobo2bo31bo2bobo2bo2$61b2o3b2o33b2o3b2o$
61b2o3b2o33b2o3b2o$61bo5bo33bo5bo$101b2o3b2o$101bo5bo!
-Matthias Merzenich

Saka
Posts: 3138
Joined: June 19th, 2015, 8:50 pm
Location: In the kingdom of Sultan Hamengkubuwono X

Re: Spaceship Discussion Thread

Post by Saka » December 20th, 2016, 5:03 am

May I post random partials from zfind here?
Airy Clave White It Nay

Code: Select all

x = 17, y = 10, rule = B3/S23
b2ob2obo5b2o$11b4obo$2bob3o2bo2b3o$bo3b2o4b2o$o2bo2bob2o3b4o$bob2obo5b
o2b2o$2b2o4bobo2b3o$bo3b5ob2obobo$2bo5bob2o$4bob2o2bobobo!
(Check gen 2)

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