For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
dvgrn
Moderator
Posts: 7570
Joined: May 17th, 2009, 11:00 pm
Contact:

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
Posts: 3946
Joined: January 28th, 2016, 2:47 pm
Location: Scotland

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!

Sokwe
Moderator
Posts: 1753
Joined: July 9th, 2009, 2:44 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

dvgrn
Moderator
Posts: 7570
Joined: May 17th, 2009, 11:00 pm
Contact:

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$$63boo62bobo64bo$$139b 3o$$216boo216bobo139b3o74bo373b3o75bo63b3o74bo3139b3o205b3o 205bo206bo$$84boo$83bobo33bo$85bo31bobo41bo$118boo40bo$139b3o18b3o$$195boo195bobo139b3o53bo394b3o96bo42b3o95bo3139b3o184b3o184bo 185bo$$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$$94bo94boo39b3o6bo93bobo47bobo143bobo144bo$$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$$139b3o65bo206boo109b3o15b3o21b3o15b 3o34bobo108bo3bo13bo3bo19bo3bo13bo3bo107boo4bo11bo4boo7b3o7boo4bo11b o4boo91bo14bobobooboo3b3o3boobooboboo13boobobooboo3b3o3booboobobo89b 4o12boobo4boboob3oboobo4bobo15bobo4boboob3oboobo4boboo88bo3bo11bo4bo 3bo4bobo4bo3bobboboo9boobobbo3bo4bobo4bo3bo4bo87bo3boo23bo5bo9boboo3b 3o3boobo9bo5bo87bo3bo12boo7boo9boo7bobo9bobo7boo9boo7boo86booboboo 39booboo7booboo86boobb3o103boo87boo34b3obb5ob3obb3obb3ob5obb3o37boo 91bo30bo3bob3o19b3obo3bo38bo87b4o30bo6bo3b3o11b3o3bo6bo87boo32bo3boo 6bo13bo6boo3bo123bo8bobo11bobo8bo120bobo16b3o16bobo119boobob3o4bo3b o9bo3bo4b3oboboo118bobobo3bo4booboo9booboo4bo3bobobo117boobo11bobo 11bobo11boboo94bo21bo3bo5boo11b3o11boo5bo3bo21bo94boo89boo93bobo20b ooboo39booboo20bobo$$139b3o4$139b3o3$104boo69boo$105boo32b3o32boo$104b o71bo4$139b3o4$115bo23b3o23bo$115boo47boo$114bobo47bobo$$139b3o4139b 3o3125boo27boo126boo11b3o11boo125bo29bo4139b3o4136bobb3obbo136b oo5boo135bobo5bobo! #C [[ TRACK 0 -1/2 AUTOSTART ]] BlinkerSpawn Posts: 1979 Joined: November 8th, 2014, 8:48 pm Location: Getting a snacker from R-Bee's ### Re: Spaceship Discussion Thread 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 392bo390b2obo388b3o387bo2bo386bo387bo2bo2bo388b4obo390bob3o 381bobo8b3o378bo4bo7b2o377b3o4bo6bo2b2obo376bobo12bo2b3o375b2o2b2o 4bo6b2obo376b2o2b5o4342b2o32b2o2b5o341b3o31b2o2b2o4bo307bobo15b2o 12bo36bobo307bobo2bo11b3o11b2obo35b3o4bo306bo3bob3o8bo2bo2bobo5b2o 39bo4bo7b3o307b2ob6o7b2o3bo2bo6b2ob3o37bobo6bo2bo307b2obobo2bo5bo9bo 7bo51bob2o310bobobo2bo3b8obo10bo49b3o310bo3bo2bo12bo14bo311b2o2b2ob 12o12bo3bo42b2o312b2o3bo14bobo6b2ob2o318b15obo7bo48b3o282b3o58b2ob 2o43b3o280b2ob2o33b15obo55bobo278b2obobo28b2o3bo14bobo56bo278b2o3b 2o26b2o2b2ob12o278b2obob2o25bo3bo2bo12bo280b3o27bobobo2bo3b8obo284b o22b2obobo2bo5bo9bo284b2o21b2ob6o7b2o3bo2bo283bo4bo17bo3bob3o8bo2bo 2bobo16bo21bobo4bo11b2o282b2o4bo18bobo2bo11b3o18b2ob2o20bo5b2ob2obo5b o283b5o19bobo15b2o17bobobo15b2o3bo7bobobo6bo2bo284bo58b2o3bo7b2o6b2o 3b2o3bobo2bobo6b2o344bobo2bo5b2ob2ob3o5b2obob4o2b2o5bobobo345b2obo7b ob2ob2o3b2o3b2ob2o10b2obo38bo357bo5bobo2bo7bobo10bo38bobo349b2o7b2o 2bo3b2o10bo3b3o2bob2o37b2o348bob3o12b2o15b2o3bob2o309b2o36bo3b3o4b2o 2bo3b2o10bo3b3o2bob2o308b3o37bobo6bo5bobo2bo7bobo10bo306bo42bo6bob2o b2o3b2o3b2ob2o10b2obo305b2obo46b2ob2ob3o5b2obob4o2b2o5bobobo304b2o 50b2o6b2o3b2o3bobo2bobo6b2o305b2ob3o53b2o3bo7bobobo6bo2bo306bo19b2o 42bo5b2ob2obo5bo308bo16b2o43bobo4bo11b2o312bo14bo309bo3bo308b2ob2o 309bo274bo35b2ob2o273b3o253bo18b2o2bo251b2obo17bo3bo137b2o2b2o 249b3o20bobo141b4o248bo2bo159b2o6b2o247bo25b2ob2o133b2obob5o248bo2b o2bo20bo134bo3b2o206b2obo13b2o24b4obo156b3o205b3obo13b2o26bob3o155b 3o204bo6bo9bo5b2o24b3o20bo205b2obo2b2o8b3o3b3o22b2o18bo4bo133b5o 206b3obo2b2o4b2o5bobo23bo2b2obo13bo137b7o208bobobo7b8o24bo2b3o19bo 131bo3bo209b2obob2o12bo24b2obo16b2o135b2o2b3o209b2obo3bob10o45b2o 127bobo6bo2bo215bobo12bobo40b2o2bo124bobo211bo4b17o41b4o121b2obo11b 2o275b2o121bob2o12bo211bo4b17o165bo3bo10b2o215bobo12bobo158bo6bob2o bo8b3o2b2o209b2obo3bob10o162b5o4b2obo10bo3b2o209b2obob2o12bo160b2o4b o18bo2bo208bobobo7b8o162bo4bo18b2o206b3obo2b2o4b2o5bobo162b2o9b4obo 205b2obo2b2o8b3o3b3o161bo10b2o2bo204bo6bo9bo5b2o158b3o12b2o3bo205b3o bo13b2o160b2obob2o12bo206b2obo13b2o160b2o3b2o385b2obobo288bobo96b2o b2o65bo273bobo2b3obo4bo4bobo94b3o63b2o273bobo2bobobob3o4b3obo88bo71b 2o272bo3bo5bo3b3o6bo89bo273b2ob5obo7b6o87b3o273b2o4bo4bo3bo170bo 275b2o8b3o3bobobo162bo277bo7bob3obobobo14b2o146b3o279bobo4b2o21b6o 104b2o279b2o27bo3bo72bo3bo28b6o280bo27bo4b2o70b2o2b2o26bo3bo308bo2b o71b2ob2o2bo26bo4b2o382b2obob2obo26bo2bo310b2o69bo3bo5bo310b2o70b3o 34b2o306b2o2bo72bo7bo27b2o39bobo306b6o103b2o2bo40b2o305bo77bo7bo23b 6o40bo306bo5bo69b3o29bo306bo5bo68bo3bo5bo23bo5bo382b2obob2obo24bo5b o307bobo73b2ob2o2bo306bo78b2o2b2o25bobo306bo3b6o69bo3bo25bo216b3o 87bobobob3obo98bo3b6o216bo90b3obo103bobobob3obo217bo93b3o102b3obo 311b2o2bo104b3o420b2o2bo6493b2o492b2o494bo3502bo7bo4bo488bobo6b ob2obobo45bo73bo73bo73bo73bo73bo70b2ob2o5bo3bo11b2o34bo3bo14b3o52bo3b o14b3o52bo3bo14b3o52bo3bo14b3o52bo3bo14b3o52bo3bo14b3o52bo2bo5bobo12b ob5o11b2o16bo18b5o13b5o14b2o16bo18b5o13b5o14b2o16bo18b5o13b5o14b2o16bo 18b5o13b5o14b2o16bo18b5o13b5o14b2o16bo18b5o13b5o14b2o17b2ob2o20bo5bo 2b2o6bob2ob3o3bobobo5b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob 3o13bo4bo12b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob3o13bo4bo 12b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob3o13bo4bo12b2ob3o 15bobo20b5o2b2ob2o5b4ob2o6bo7bo4b5o13b5o14b2o16bo18b5o13b5o14b2o16bo 18b5o13b5o14b2o16bo18b5o13b5o14b2o16bo18b5o13b5o14b2o16bo18b5o13b5o14b 2o16bo18b5o16bo20b2o4bobobob2o2b2o6b2ob2o4b3obobo6b3o52bo3bo14b3o52bo 3bo14b3o52bo3bo14b3o52bo3bo14b3o52bo3bo14b3o52bo3bo14b3o39bo4bo2obo 28bo63bo73bo73bo73bo73bo73bo59b2ob2ob3o24b2o493bo5b2o23bobo489b3o 30bo114b3o354bo17b2obob2o5b2o23bobo105bo5b6o6bo59bo283b2o3bo14b2o3b2o b2ob3o24b2o103b2obo2b2obo3bo5b2o54b3o2b3o281b2o2bo15b2obobo2obo28bo 90bo2bo8bo11bo7bo57bo218bo67b4obo16b2ob2obobob2o2b2o6b2ob2o4b3obobo 90bo2bo3b3o2b2obobo3bob2obo6b3o50b2o3bo211bo4bob3o8bo79b3o2b2ob2o5b4o b2o6bo7bo88bo4bobo7b2o3bo5b2o6bo52bo2b3ob3o205bobo3bo3bob2o4b2o5bo2b 2o6bob2ob3o3bobobo79bo11b2o6b2o5bob2obo5b2ob2o2b3o50b3ob6o192b2o6b2o2b 2ob2ob2obobo7bo54b2obo5bobo12bob5o83b5o8b2o4b3ob2o3bo4b3o4b2obob3o57b 3o192b4o3bo4b2obob3obo2bo9bo51bob2obo5bo3bo11b2o86b2o4bo9b6o18bobobob o253bo4bobobo10bo5b3o6b2o50bo3bo6bob2obobo96bo4bo15bo3bo13bo3b2o60b3o 20bo171b2ob2obo8b4o2bo8bo3b2o50bob2o7bo4bo98b2o12b6o18bobobobo53b3ob 6o18bobo171b8obo4b2o4bo6bob3o54b2obo111bo11b2o4b3ob2o3bo4b3o4b2obob3o 51bo2b3ob3o17bo3b3o176b3o9bo5b2obo2bo56bobo107b3o13b2o6b2o5bob2obo5b 2ob2o2b3o50b2o3bo22bob3o177b3o14b2o2bo59bobo105b2obob2o10bo4bobo7b2o 3bo5b2o6bo56bo24b2o179b3o9bo5b2obo2bo105b2o3b2o11bo2bo3b3o2b2obobo3bo b2obo6b3o52b3o2b3o192b8obo4b2o4bo6bob3o105b2obobo12bo2bo8bo11bo7bo60b o17b2obo172b2ob2obo8b4o2bo8bo3b2o107b2ob2o24b2obo2b2obo3bo5b2o16b2obo 56bobo2bo170bo4bobobo10bo5b3o6b2o109b3o26bo5b6o6bo15bo2b3o39bo14b2o3b o172b4o3bo4b2obob3obo2bo9bo145b3o24bo2b2obo38b2o14bobobo173b2o6b2o2b 2ob2ob2obobo7bo172b2o42bobo15b2ob2o185bobo3bo3bob2o4b2o173b3o13b2o 46bo188bo4bob3o8bo133b2o36bob3o12b2o28bo213bo132bo2bo33b4obo15bo 132bobo33bo2bo2bo42bo133bo33bo46b2ob2o81b2o72b2o105bo62bo2bo41bobobo 81bo2bo70bo2bo70b2o103b2o3bo60b3o40b2o3bo81bobo71bobo71bo103b2o2bo 63b2obo38bobo2bo81bo73bo69b2ob2o103b4obo64bo40b2obo14b2ob2o207b3obo 231bo213b2obo218b2o10b2ob2o213b2o100b2obo113bob3o9bo3bo195b2obo13b2o 99bob2obo45b2o64bo3b3o11bo195bo2b3o9b3o99bo3bo45b3o65bobo10bo199bo2b 2obo9bo99bob2o44bo70bo9bo201b2o100b2obo42b2obo77b2ob3o198b3o103bobo 39b2o79b2o201bob3o103bobo40b2ob3o75b2obo196b4obo147bo80bo197bo2bo2bo 149bo80b3o192bo153bo77b2o193bo2bo150bo3bo272b3o149b2ob2o275b2obo 150bo37b3o240bo151b2ob2o31bo2bob2o187b3o188b5o190b2o189bobo190bo 188bo185b4o2bo184b2ob2o2bo185b2o2b2o3191b3o185b3ob6o185bo2b3ob 3o185b2o3bo189bo187b3o2b3o192bo!  LifeWiki: Like Wikipedia but with more spaceships. [citation needed] GUYTU6J Posts: 1263 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! Contact: ### Re: Spaceship Discussion Thread 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 13bo12bo11bo10bo3bo8bo4b2o5b5obobo6bobo2bo7bo5bo3bobob2o3bob 3obob2o2b3oo5b3o2b2ob3obob2o2b3o3bobob2o3bo7bo5bo6bobo2bo5b5obob o8bo4b2o10bo3bo11bo12bo13bo!  Lifequote: 原来姹紫嫣红开遍，似这般都付与断井颓垣…… 只恐你来得~去不得！ Chuangtse wrote: What we love is the mystery of Life. What we hate is corruption in death. But the corruptible in its turn becomes mysterious life, and this mysterious life once more becomes corruptible. Sokwe Moderator Posts: 1753 Joined: July 9th, 2009, 2:44 pm ### Re: Spaceship Discussion Thread Is this small 2c/6 component known? Code: Select all x = 14, y = 63, rule = B3/S23 5b2ob2obo2bob2ob2o6b2obobo4bobo3b2o2b2o2b2ob2ob2o4bo2bo2bo6bo 2bo6bo22b8ob2o6b2o46bo5b3o8bo26bo6b2o6b2o7bo6bobobo5bo4b2o 5bo4bo8bo5bo3b2o4b2ob2obo3b2o3bo4bo2bobo4b2ob2o2b2obo3b2ob2obo 4bob2oo3bob2obobobob3obo6b2o2bo4b2o2b2o6bo5bo3b3o6bo5b2o4bob3o 2b2o3b2ob3obobo2bo2bo2bob2o6bobobo6bobobo5b2obobo8bobob2o8bobob 2o7b2obo8bo2bo5b2obo2b3o4bobob2o2b3obobo2bob2obo3boo3bo2b3o8bo 7bobo6bo3bo6bobobo5b2obob2o5bo5bo6bo3bo! It was found when testing a modification of zfind. The p3 part at the back could probably be reduced. -Matthias Merzenich muzik Posts: 3946 Joined: January 28th, 2016, 2:47 pm Location: Scotland ### Re: Spaceship Discussion Thread 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: 548 Joined: June 27th, 2009, 10:58 am Location: Germany ### Re: Spaceship Discussion Thread 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 75bo50bo49bo5b3o46b3o11b3o3b3o28b3o11b3o3b3o27b3o11b3o3b3o5bo2bo4bo 40bo2bo4bo5bo2bo2bob2o27bo2bo4bo5bo2bo2bob2o26bo2bo4bo5bo2bo2bob2o5bo 6b3o39bo6b3o4bo6b3o27bo6b3o4bo6b3o26bo6b3o4bo6b3o2o3bo5b2obo34b2o3bo 5b2obo4bo3bo2b3o22b2o3bo5b2obo4bo3bo2b3o21b2o3bo5b2obo4bo3bo2b3ob2o3b obo2b3o36b2o3bobo2b3o6bo2bo2b2o24b2o3bobo2b3o6bo2bo2b2o23b2o3bobo2b3o 6bo2bo2b2oo10b3o35bo10b3o19bo17bo10b3o36bo10b3o19bo11b3o46b3o18b3o 27b3o47b3o18b3o12b2o10bo36b2o18bob2o27b2o48b2o18bob2o23b3o56b3o45bo 52b3o22b2obo56b2o45b3o51b2o22b3o103b2obo23b2o103b3o129b2o54b3o16b 3o165bo2bo15bo2bo115b3o50bo18bo114bo2bo50bo18bo48b3o48b3o15bo31b3o 13bobo15bobo48bo2bo47bo2bo11bo3bo30bo2bo69bo50bo15bo33bo28b3o38bo 50bo12bobo34bo27bo2bo35bobo48bobo47bobo30bo30bo27bobo1675bo50bo 54b3o11b3o3b3o28b3o11b3o3b3o54bo2bo4bo5bo2bo2bob2o27bo2bo4bo5bo2bo2bo b2o54bo6b3o4bo6b3o27bo6b3o4bo6b3o49b2o3bo5b2obo4bo3bo2b3o22b2o3bo5b 2obo4bo3bo2b3o50b2o3bobo2b3o6bo2bo2b2o24b2o3bobo2b3o6bo2bo2b2o49bo 10b3o19bo17bo10b3o19bo60b3o18b3o27b3o18b3o61b2o18bob2o27b2o18bob2o 73b3o6b3o39b3o6b3o72bo2bo6b2o39bo2bo6b2o75bo50bo75bo50bo72bobo9b3o 36bobo9b3o83bo2bo47bo2bo78b3o5bo3b3o36b3o5bo77bo2bo5bo2bo2bo35bo2bo 5bo80bo2bobo6bo38bo2bobo80bo11bo38bo77bobo9bobo36bobo! 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 bo11b3o4bob2o10bo2bo2b3oobo10bo4b2obo13bo3b4o13bo5b2o13bo2bo14b 2o14bo15bo15bo! 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: 1753 Joined: July 9th, 2009, 2:44 pm ### Re: Spaceship Discussion Thread Here's a small 4c/8 tagalong: Code: Select all x = 18, y = 26, rule = B3/S23 15bo14b3o3o3b3o5bob2oo2bobo2bo6b3oo7bo6b2oo7bobobo4bo3bo4bo3bo 2b3o8bo5bo5bobo12bo12b3o12bo12bo211b2o11b2o13bo11bo2bo9bo3b o8bo9bobo13bo11bo2bo10bo2bo10bobo! 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 2b3o10b3o28bo5bo2bo2bo8bo2bo27b3o3b3o2bo14bo26bo2b2ob2o2bo2bo3bo6bo 3bo26bob2o3b2obo2bo3bo6bo3bo28bo5bo3bo3bo4bo3bo27bo2bo3bo2bo8bo2bo 35bo3bo9b2o34bobo3bobo6bobo2bobo33bo3bo6bo6bo29bo11bo7b2o2b2o29b3o bo5bob3o5b2o6b2o26b2obo9bob2o4b3obo2bob3o27b3o7b3o3b2o2bo4bo2b2o26b 2o9b2o2bo2bo8bo2bo24bo13bo2bo2b2o6b2o2bo24bo2bo7bo2boo3bo10bo3bo21b 2o2bo7bo2b2oo3b3o6b3o3bo20b4o2bo5bo2b4o2bo14bo24b5o5b5oo2bo12bo2bo 22b2o3b2ob2o3b2oob2o12b2obo24b2ob2ob2ob2ob3o12b3o25b2o7b2o46bobobob o46bo5bob2o14b2o26bo7bobo16bo26b2obobob2oobo14bobo25b3o3b3o4bo4b 2o4bo4b2ob2o2b2ob2o2b4o8b4o28b3ob3ob2o2b2obo2bob2o2b2o25b2o2bobo2b 2oo18bo27b2ob2o3b2o2bo4bo2b2o30b2ob2o2o6bo2bo6b2o27bo3bo5bobo4bobo 29b2ob2ob2ob2o3b2o10b2o26b2obo5bob2o6bo6bo28b3o9b3o3bo2bo6bo2bo24b 2o3bobobobo3b2o3bo12bo23bo3b2obo3bob2o3bo4b2ob2o2b2ob2o28bo9bo2b2ob ob2o2b2obob2o25b3ob2ob2ob3o5bobob2obobo25b3o13b3o5bo8bo26bo3bo7bo3bo 4b2o8b2o30b3ob3o4bobo6bobo29bobo3bobo7bob2obo9b2o32bobo7bobo8bo2b o31b4o5b4o42bo3bo5bo3bo6b2o4b2o27b2ob2ob2ob2ob2ob2o6bob4obo27b2ob2o 2bobo2b2ob2o8b4o33bo7bo4bob2o4b2obo29b2obobob2o3b2ob2ob2ob2ob2o27bo 3bobo3bo2bobo3bo2bo3bobo25b6ob6ob2o2bo2bo2bo2bo2b2o24bo4bobo4boo2bo 2bobo2bobo2bo2bo22bo13bo4bo10bo25b2o4bo3bo4b2o2o5bo4bo5b2o21b2o13b2o 4bo2bo4bo2bo26bo13bo5bo8bo28bobo7bobo45b2o5b2o5b2o6b2o30bo7bo4bo 2bo4bo2bo28b2o7b2o4bo2bo4bo2bo29bo7bo5b2o6b2o27bo13bo46b2o3b2o44bo b3ob3obo44b5ob5o244b3o5b3o43bobo7bobo43bo2bo5bo2bo47bo3bo42b4obo 3bob4o41bo3bob2ob2obo3bo41bo2bo2bo3bo2bo2bo40b2obobob2ob2obobob2o 43b4o5b4o40b3o5bobo5b3o40bo5bobobobo5bo45bo7bo45b3o3b3o45b2o5b2o 46b3ob3o46bobobobo46bobobobo44bo3bobo3bo44bo2bo3bo2bo244b2o7b2o 43bo2bo5bo2bo43bo2bo5bo2bo44b2o7b2o! 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 3bo32b3o10b3o2b3o3b3o25bo2bo8bo2bo2bob2o2bo2bo24bo14bo3b3o2bo27bo3b o6bo3bo3b3o2bo27bo3bo6bo3bo3b2o4bobo25bo3bo4bo3bo42bo2bo6b2o35b2o 5bob2o31bobo2bobo4b2ob2o31bo6bo4bo2bo33b2o2b2o3bob3o31b2o6b2o6bo 31b3obo2bob3o4b2o31b2o2bo4bo2b2o3bo32bo2bo8bo2bo36bo2b2o6b2o2bo3bo bo28bo3bo10bo3bo2bo31bo3b3o6b3o3bo2bob2o30bo14bo2bo2b2o27bo2bo12bo 2bo2bo2b3o26bob2o12b2obo5b2obo26b3o12b3o4bobobo3b3o3bo3b2ob2o27b 2o14b2o6b2o27bo16bo6b2o26bobo14bobo6b2ob2o27bo4b2o4bo7bo2bo27b2ob 2o2b2ob2o7bo3bo24b4o8b4o8bobo24b2o2b2obo2bob2o2b2o34bo18bo7b2o28b 2o2bo4bo2b2o6b3o25b2o6bo2bo6b2o6bo2bo29bobo4bobo5b6o26b2o10b2o4bo 5bo29bo6bo4bobo3bo26bo2bo6bo2bo3b2obobob2o25bo12bo4bo2b2o2bo26b2ob 2o2b2ob2o3b2obob2o26b2obob2o2b2obob2o6bob2obo27bobob2obobo6b2o31bo 8bo6b2o30b2o8b2o38bobo6bobo3bo3b2o32bob2obo2b3o2b3o33b2o2bob2o2b 2o32bo2bo3b2o2b3o3b3o34b2o4b2o5bo34bob4obo2o4bo2bo32b4o2obo4bo29b ob2o4b2obobobo33b2ob2ob2ob2ob2o6b3o27bobo3bo2bo3bobo8b2o25b2o2bo2bo 2bo2bo2b2o9b2o23bo2bo2bobo2bobo2bo2bo9b2o27bo10bo9bo24b2o5bo4bo5b2o 7bo30bo2bo4bo2bo9bo29bo8bo8bo39b2o6b2o7b2o29bo2bo4bo2bo6bo2bo36b o2bo6bo2bo27bo4bo4b2o7b2o28bo4bo39b2o! 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 Sokwe Moderator Posts: 1753 Joined: July 9th, 2009, 2:44 pm ### Re: Spaceship Discussion Thread 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 3b3o3b3o2bo3bobo3bo2b2o7b2o2bo3bobo3bo3b2o5b2o3obo5bob3o2ob2o5b 2ob2obob2o5b2obo3b2o5b2oo3bo5bo3bo3bo7bo26b3o5b2ob2o5b2ob2o24b 2obob2o3bo3bo3bo2b2ob2ob2ob2o3bobo3bobo2bobo5bobo2bo9bo5b2ob2o 3bobo3bobo3bo7bo5bo3bo6bobo6b3o5bobobo5bo3bo4bo2bo2bo5b5o34b 2o3b2o3b2o5b2o! 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 Sokwe Moderator Posts: 1753 Joined: July 9th, 2009, 2:44 pm ### Re: Spaceship Discussion Thread 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 3b3o3b3o2bo3bobo3bo2b2o7b2o2bo3bobo3bo3b2o5b2o3obo5bob3o2ob2o5b 2ob2obob2o5b2obo3b2o5b2oo3bo5bo3bo3bo7bo26b3o5b2ob2o5b2ob2o24b 2obob2o3bo3bo3bo2b2ob2ob2ob2o3bobo3bobo2bobo5bobo2bo9bo5b2ob2o 3bobo3bobo3bo7bo5bo3bo6bobo6b3o5bobobo5bo3bo4bo2bo2bo5b5o! Second, this new ship can pull blinkers: Code: Select all x = 45, y = 34, rule = B3/S23 3b3o3b3o21b3o3b3o2bo3bobo3bo19bo3bobo3bo2b2o7b2o19b2o7b2o2bo3bobo3b o19bo3bobo3bo3b2o5b2o21b2o5b2o3obo5bob3o15b3obo5bob3o2ob2o5b2ob2o 15b2ob2o5b2ob2obob2o5b2obo17bob2o5b2obo3b2o5b2o21b2o5b2oo3bo5bo3bo 15bo3bo5bo3bo3bo7bo21bo7bo26b3o27b3o5b2ob2o25b2ob2o5b2ob2o25b2ob2o 24b2obob2o23b2obob2o3bo3bo3bo21bo3bo3bo2b2ob2ob2ob2o19b2ob2ob2ob2o 3bobo3bobo21bobo3bobo2bobo5bobo19bobo5bobo2bo9bo19bo9bo5b2ob2o25b2o b2o3bobo3bobo21bobo3bobo3bo7bo21bo7bo5bo3bo25bo3bo6bobo27bobo6b3o 27b3o5bobobo25bobobo5bo3bo25bo3bo4bo2bo2bo23bo2bo2bo5b5o25b5o2b3o 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 8bo7bobo6bo3bo7b3o25b2o3b2o2b2o3bobo3b2o2b2o3bobo3b2o2o5bobo5b 2o4b2obobob2oo6bobo6bo3b2o2bobo2b2obo2bobo3bobo2bob2o11b2ob2o11b 2o4bo7bo4b3o3b3o6bo3bo3b2obo3bob2o5b2o3b2o5bobobobo25bo2bo2bo 6b2ob2o5b2o3b2o24bo2b3o2bo3b11o3b2obo3bob2o! 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 5b3o5b3o5bobo5bobo5bo2bo3bo2bo5bo3bobo3bo2bo3b2obobob2o3bo2ob2o2b obobobo2b2ob2o2ob2o3b2ob2o3b2ob2obo7bobo7bo3o6bobo6b3ob2o5b2ob2o5b 2o9bobo5b4o3b4o5bo9bo7bo5bo7bobobobo7b3ob3o8b2ob2o28bo3bo27bo bobobo7bobobobo8b2ob2o! -Matthias Merzenich Kazyan Posts: 1060 Joined: February 6th, 2014, 11:02 pm ### Re: Spaceship Discussion Thread 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 Coldlander, a novel, available in paperback and as an ebook. Now on Amazon. wildmyron Posts: 1510 Joined: August 9th, 2013, 12:45 am Location: Western Australia ### Re: Spaceship Discussion Thread 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 133b2o42b2o2o5b2o32bo8bo18bo12bo48bo3bo5bobo16bo9bo6b3o3b2o7bo2bo22b 3o58b2o3o3b3o6bo3bo20bobo3b2obobo16bobo10bo2bo10bo14b3o2bo5b2o12b2o4b o2b2o9bo3bo2bo6b3o2b4o3b2obo3bobo2bo2b2ob3o4bo9b2o2b2o7b3o2bob2o24bo 16bobo2bo3bo2bo4bobobobo2bo2b2o7b3obo2bo2bo5bo5bo7bo2bobo11b5o8bob2o 11b3o2bo4bo2bo3bo7b2o3bo12b2o2bobo2bo4b2o4bo2bo3bob2ob2o4b2ob2ob5o2b2o bobo2bo2b2o2bo2bo5b5obobo11bo13bo15b2ob2obobobob2o4bo2bobo3bo3b2o3b3o 2b2ob2obo3b2o3bo5bo2bo4bob3o15b2o20b2ob2obo2bo2b2o2b2ob3o4bob2o4b4o3bo 2b4o4bo3b2ob3o2bo4bo4bo2bobo3bobo9b3o4bo3b2o2bo5b4o4b4o3bo7bob2o12bo 2b2obo8b2o3b5o2b2o2bob2obo2b2obo6bo2bo6bo2bo4bo3bo5b2o3bobo8bob4ob2o5b 3o2b3ob2obo5bo2b2o2bo4bobo3bob6obo3bo3bobobo8b2o6b2obo4bo4b3o2bobobo2b o6bo2b2o6bo5b2obo3bo9b4o4bobobo18bobo2bobo4b4o2bo7bob3o2bo4b2ob2o8bo 8b2o3bob5o3b2o2b3o2b4obo4b2o3b2ob3o4b2o6bo6b4o3bo4bo2bob4o4bo4bo4bo2bo bobob2ob3o3b2o7bo2b2o2b2ob2o2b2o5bob3o16bo3bo6b3o3bo2b2o2b3o2bobobobo 2b3o9b3ob3o2bo2b2obobo2b2o6b2o3b2o2b5o3bo10bo3bo4bob2obo3bo4b2o3bo7b 3ob2ob2o4bo3b4obo5bob2o2bobob3o3b2o3bo6b2o3bo2b4obo2bobobob2o8b3o8bobo bobobo7bo2bo2b2o19b2o12b2o3bo3b2o5bo5bo2bo3bo2bo4bo3b2o6bo2b2o3bo3bo 2bo3b3o2bo2bo3b2ob3obobo3b3o3b4o3bo2bo6bo2bo4bo8bo7bo2bo3bo2bo4bo4bo6b o3bo5bobo2b2o2b3o21bo2bo11bo4bobo32bo12bo2bo3bo4bo2b2o3b2ob2obo3ob2ob 2obo6b2obo2bo4bo3bo2bobo4b2obobo4bo2bobo5bo2bo3bo4bo4bo5bo2b4o5bo3bo4b o3b4o6b4o8b2o8bobo7bo3b2o26b3o14b5o32b8o6bo2bo4b4o3b3obo6bo11bo5b2o4b o3bo20bo2b2o30b4o17bobo163b3ob2o3bo3bo3ob2ob2obo6b2obo2bo4bo3bo2bobo 4b2obobo4bo2bobo5bo2bo3bo4bo4bo5bo2b4o5bo3bo4bo3b4o6b4o8b2o8bobo7bo3b 2o26b3o14b5o32b8o6bo2bo4b4o3b3obo6bo3bo2bo4bo3b2o6bo2b2o3bo3bo2bo3b3o 2bo2bo3b2ob3obobo3b3o3b4o3bo2bo6bo2bo4bo8bo7bo2bo3bo2bo4bo4bo6bo3bo5bo bo2b2o2b3o21bo2bo11bo4bobo32bo12bo2bo3bo4bo2b2o3b2ob2obo2bo2b2obobo2b 2o6b2o3b2o2b5o3bo10bo3bo4bob2obo3bo4b2o3bo7b3ob2ob2o4bo3b4obo5bob2o2bo bob3o3b2o3bo6b2o3bo2b4obo2bobobob2o8b3o8bobobobobo7bo2bo2b2o19b2o12b2o 3bo3b2o5bo5bo2bo2bobo4b4o2bo7bob3o2bo4b2ob2o8bo8b2o3bob5o3b2o2b3o2b4o bo4b2o3b2ob3o4b2o6bo6b4o3bo4bo2bob4o4bo4bo4bo2bobobob2ob3o3b2o7bo2b2o 2b2ob2o2b2o5bob3o16bo3bo6b3o3bo2b2o2b3o2bobobobo2b3o9b3ob3o2b2obo8b2o 3b5o2b2o2bob2obo2b2obo6bo2bo6bo2bo4bo3bo5b2o3bobo8bob4ob2o5b3o2b3ob2ob o5bo2b2o2bo4bobo3bob6obo3bo3bobobo8b2o6b2obo4bo4b3o2bobobo2bo6bo2b2o6b o5b2obo3bo9b4o4bobobo18bobobobobob2o4bo2bobo3bo3b2o3b3o2b2ob2obo3b2o 3bo5bo2bo4bob3o15b2o20b2ob2obo2bo2b2o2b2ob3o4bob2o4b4o3bo2b4o4bo3b2ob 3o2bo4bo4bo2bobo3bobo9b3o4bo3b2o2bo5b4o4b4o3bo7bob2o12bo2bo3bo2bo4bob obobo2bo2b2o7b3obo2bo2bo5bo5bo7bo2bobo11b5o8bob2o11b3o2bo4bo2bo3bo7b2o 3bo12b2o2bobo2bo4b2o4bo2bo3bob2ob2o4b2ob2ob5o2b2obobo2bo2b2o2bo2bo5b5o bobo11bo13bo15b2ob2o3o3b3o6bo3bo20bobo3b2obobo16bobo10bo2bo10bo14b3o 2bo5b2o12b2o4bo2b2o9bo3bo2bo6b3o2b4o3b2obo3bobo2bo2b2ob3o4bo9b2o2b2o7b 3o2bob2o24bo16bobo2o5b2o32bo8bo18bo12bo48bo3bo5bobo16bo9bo6b3o3b2o7bo 2bo22b3o58b2o133b2o42b2o! The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki. GUYTU6J Posts: 1263 Joined: August 5th, 2016, 10:27 am Location: 拆哪！I repeat, CHINA! Contact: ### Re: Spaceship Discussion Thread Is there anyone searching for c/8 spaceships? I can only get such partial Code: Select all x = 15, y = 21, rule = B3/S23 12b2o14bo11bo2bo8b3o3bo7bo3bo8bob3o5bo3bo2b2o5b2o6bo3bobobo4bo b3o3bo3boo4bobo2bo2b2ob3o3bo3bo3bobobo4bo5b2o6bo5bo3bo2b2o8bob 3o7bo3bo8b3o3bo11bo2bo14bo12b2o!  EDIT:Maybe more promising? Code: Select all x = 19, y = 17, rule = B3/S23 15b3o8b4o2b2o7bo3bo2b3obo8bob3o5bo3bo2b2o2bobo5b2o3bobobo4bob3ob ob3o3bo3boo4bobo3bo2bob3o3bo3bo3bobobo4bob3obo5b2o5bo3bo2b2o2bob o8bob3o7bo3bo2b3obo8b4o2b2o15b3o!  Last edited by GUYTU6J on October 6th, 2016, 12:09 pm, edited 1 time in total. Lifequote: 原来姹紫嫣红开遍，似这般都付与断井颓垣…… 只恐你来得~去不得！ Chuangtse wrote: What we love is the mystery of Life. What we hate is corruption in death. But the corruptible in its turn becomes mysterious life, and this mysterious life once more becomes corruptible. wildmyron Posts: 1510 Joined: August 9th, 2013, 12:45 am Location: Western Australia ### Re: Spaceship Discussion Thread 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 3obo2bo2bo2bob3ob2obo2bo2bo2bob2o2bo3bo4bo3bo7bo2bo2bo4b4o4bo2bob obo4bobobo2bo5b2o5bo3bobo6bobo8b2o4b2o6b2o4b2ob4ob2o4b2o6b2o3bo 3b4o3bo6b6o3bobo2b2o2boboobo2b3o2b3o2boboob2o10b2obo3b2o8b2o5bo 6bo22bob4o2b4obobo14bobo4b2o2b2o4bobo4b2o2b2o4bo2bob3o4b3obo2b2o bo6bob2o3b3o6b3o3bo2bo4bo2bo4b3o4b3o2b2o10b2obo2bo8bo2bob3o10b3o 43b3o6b3o33bo2bo4bo2bo2bo3bo4bo3bo3bo2bo4bo2bo4b4o2b4o5b8o6bo4b o6bo4bo6b2o2b2o8b2o3b2o8b2o2bo2bo6bo2bo3bobo6bobo4bo8bo! Edit: some other interesting partials (including the one above): Code: Select all x = 201, y = 53, rule = B3/S23 5bo8bo20bo8bo20bo8bo20bo8bo20bo8bo20bo8bo20bo8bo4bobo6bobo18bobo6bobo 18bobo6bobo18bobo6bobo18bobo6bobo18bobo6bobo18bobo6bobo3bo2bo6bo2bo 16bo2bo6bo2bo16bo2bo6bo2bo16bo2bo6bo2bo16bo2bo6bo2bo16bo2bo6bo2bo16bo 2bo6bo2bo4b2o8b2o18b2o8b2o18b2o8b2o18b2o8b2o18b2o8b2o18b2o8b2o18b2o8b 2o9b2o28b2o28b2o28b2o28b2o28b2o28b2o7b2o2b2o24b2o2b2o24b2o2b2o24b2o 2b2o24b2o2b2o24b2o2b2o24b2o2b2o7bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo 4bo24bo4bo7bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo4bo24bo4bo6b8o22b8o 22b8o22b8o22b8o22b8o22b8o5b4o2b4o20b4o2b4o20b4o2b4o20b4o2b4o20b4o2b4o 20b4o2b4o20b4o2b4o4bo2bo4bo2bo18bo2bo4bo2bo18bo2bo4bo2bo18bo2bo4bo2bo 18bo2bo4bo2bo18bo2bo4bo2bo18bo2bo4bo2bo3bo3bo4bo3bo16bo3bo4bo3bo16bo 3bo4bo3bo16bo3bo4bo3bo16bo3bo4bo3bo16bo3bo4bo3bo16bo3bo4bo3bo4bo2bo4b o2bo18bo2bo4bo2bo18bo2bo4bo2bo18bo2bo4bo2bo18bo2bo4bo2bo18bo2bo4bo2bo 18bo2bo4bo2bo34b3o6b3o18b3o6b3o18b3o6b3o18b3o6b3o18b3o6b3o18b3o6b3o 18b3o6b3o32bo14bo77bo8bobobob3o4b3obobo13b3o10b3o14b3o10b3o16b3o6b3o 16b3o10b3o14b3o10b3o14b3o10b3obo2bo10bo2bo13bo2bo8bo2bo14bo2bo8bo2bo 15b2ob3o2b3ob2o16bo12bo14bo3bo8bo3bo12bo3bo8bo3bo2bobob2o4b2obobo15b 2o10b2o16b2o10b2o16bobo2bo2bo2bobo15b2o12b2o12bobo14bobo10bobo14bobo 3bob3o4b3obo18b3o4b3o20b3o4b3o19b2o3b2o3b2o16b2o12b2o11b2o2bo12bo2b2o 8b2o2bo12bo2b2o34bo3bo2bo3bo18bo2bo4bo2bo22bo2bo25bo4bo16b2o18b2o8b2o 18b2o4bobo6bobo16b3obobo2bobob3o16b3o6b3o18bo3b4o3bo15bobo3bo4bo3bobo 11bob2o12b2obo10bob2o12b2obo3b2obo6bob2o15b2o2b2o4b2o2b2o15b2obo6bob 2o46b2o2bo4bo2b2o12b2o18b2o8b2o18b2o4bo10bo17b2o10b2o16bob3o4b3obo17b o2bo4bo2bo16b2o12b2o13bo16bo11bo2bo12bo2bo7b2o2b2o20b2o10b2o15bo4b2o 2b2o4bo17b3o4b3o17bo2bo8bo2bo42bo3bo10bo3bo5bobob2obobo19b4o4b4o16bo 4b2o2b2o4bo16bo10bo16bo14bo12bob2obo8bob2obo11bo2b2o8b2o2bo2b2obo3b2o 3bob2o17b2o6b2o17bo14bo17bo8bo16bo3b2o6b2o3bo10bo3bob2o6b2obo3bo11bob 2o8b2obo2bo2b2o6b2o2bo20bo2bo21bob4o2b4obo18bo8bo16b5o8b5o11bo2bob2o 6b2obo2bo14b2o8b2o2b2obob6obob2o20b4o80bo2bo8bo2bo12b3o2b2o6b2o2b3o 13b3o8b3o7bo4bo24bob2obo23bo6bo21b2o6b2o17bo14bo16b3o6b3o17bobo8bobo 9b2o27bo2bo22b2o8b2o17bo4bo2bo4bo19bo6bo17bo3bo8bo3bo13bo14bo3b2ob8ob 2o18bo2b4o2bo16bob2o10b2obo14b3o8b3o16bo12bo15bo2bo8bo2bo13bo3b2o6b2o 3bo2b4obo4bob4o17bobo4bobo16bobo2b3o2b3o2bobo14bobob2o2b2obobo17b2ob 2o2b2ob2o16bobo10bobo13bo2bo10bo2bo35bo8bo19bobo2b2o2bobo16b2o2bo6bo 2b2o15b2o10b2o15bo14bo13b2ob4o4b4ob2o35bo8bo22b6o18bo2bo10bo2bo12b2o 3bo6bo3b2o11b2ob3o8b3ob2o11b2o3bo6bo3b2o33b2o10b2o17bo3b4o3bo15bobo 12bobo11bo5bo6bo5bo10bo5bo6bo5bo13bo3bo4bo3bo34bob3o2b3obo19b2o6b2o 45bo4bo8bo4bo10bob2o2b2o4b2o2b2obo11bo4bo6bo4bo33bob2ob4ob2obo18b2ob 4ob2o16bob2ob2o4b2ob2obo15bo10bo45bob2o10b2obo36b2o4b2o21b2o6b2o17bo 3b2o4b2o3bo74b2ob2o6b2ob2o32b2o2bob4obo2b2o21b2o26b2o2b2o19b3o2b2o2b 2o2b3o42bo3bo10bo3bo34bobo2b2o2bobo18bobo6bobo20b3o2b3o18b2obobo4bobo b2o37bo4bo20bo5b2o5bo15b3o3bo2bo3b3o14b2o4bo2bo4b2o38b4o21bobobo4bob obo14bo3bo3b2o3bo3bo11b2obo4bo2bo4bob2o31b2obo2bo4bo2bob2o14bo4b4o4bo 22b2o26bo4bo31b2o2bobo4bobo2b2o19bo2bo22bo3bo2bo3bo14bobo3bo6bo3bobo 63bo3bo4bo3bo15b2o4bo2bo4b2o13bo3bobo4bobo3bo62b2obo2bo2bo2bob2o13bob o4bo2bo4bobo12bo3b3o4b3o3bo61b3obo2bo2bo2bob3o18b2o2b2o21bob2o4b2obo 92bo3b8o3bo12b2obo2bo6bo2bob2o92bo2bo8bo2bo! The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki. HartmutHolzwart Posts: 548 Joined: June 27th, 2009, 10:58 am Location: Germany ### Re: Spaceship Discussion Thread extensible c(4,0)/8 Code: Select all x = 40, y = 120, rule = B3/S23 612b5o12bo4bo12bo13bo3bo18b2o11bo9bo10bo10bo10bo10b11o15bo 14b3o13bo2b2o12bobobo9b4ob3o8b2o4b2o7b2o2b2o2bob2o8bobobobo9b2o bobo10bobob2o11b2o12bo2bo12bo2bo11b2o10bobob2o9b2obobo8b2o2bob o9bo2bobo2bo10bobobob2o12bob3o12bob3o10bobobob2o9bo2bobo2bo8b2o 2bobo9b2obobo10bobob2o11b2o12bo2bo12bo2bo11b2o10bobob2o9b2obob o8b2o2bobo9bo2bobo2bo10bobobob2o12bob3o12bob3o10bobobob2o9bo2bo bo2bo8b2o2bobo9b2obobo10bobob2o11b2o12bo2bo12bo2bo11b2o10bobob 2o9b2obobo8b2o2bobo9bo2bobo2bo10bobobob2o12bob3o12bob3o10bobobo b2o9bo2bobo2bo8b2o2bobo9b2obobo10bobob2o11b2o12bo2bo12bo2bo11b 2o10bobob2o9b2obobo8b2o2bobo9bo2bobo2bo10bobobob2o12bob3o12bob 3o10bobobob2o9bo2bobo2bo8b2o2bobo9b2obobo10bobob2o11b2o12bo2bo 12bo2bo11b2o10bobob2o9b2obobo8bobobobo7b2o2b2o2bob2o8b2o4b2o9b 4ob3o12bobobo13bo2b2o14b3o15bo10b11o10bo10bo10bo11bo9bo18b2o 13bo3bo12bo12bo4bo12b5o!  Gamedziner Posts: 795 Joined: May 30th, 2016, 8:47 pm Location: Milky Way Galaxy: Planet Earth ### Re: Spaceship Discussion Thread HartmutHolzwart wrote:extensible c(4,0)/8 Code: Select all x = 40, y = 120, rule = B3/S23 612b5o12bo4bo12bo13bo3bo18b2o11bo9bo10bo10bo10bo10b11o15bo 14b3o13bo2b2o12bobobo9b4ob3o8b2o4b2o7b2o2b2o2bob2o8bobobobo9b2o bobo10bobob2o11b2o12bo2bo12bo2bo11b2o10bobob2o9b2obobo8b2o2bob o9bo2bobo2bo10bobobob2o12bob3o12bob3o10bobobob2o9bo2bobo2bo8b2o 2bobo9b2obobo10bobob2o11b2o12bo2bo12bo2bo11b2o10bobob2o9b2obob o8b2o2bobo9bo2bobo2bo10bobobob2o12bob3o12bob3o10bobobob2o9bo2bo bo2bo8b2o2bobo9b2obobo10bobob2o11b2o12bo2bo12bo2bo11b2o10bobob 2o9b2obobo8b2o2bobo9bo2bobo2bo10bobobob2o12bob3o12bob3o10bobobo b2o9bo2bobo2bo8b2o2bobo9b2obobo10bobob2o11b2o12bo2bo12bo2bo11b 2o10bobob2o9b2obobo8b2o2bobo9bo2bobo2bo10bobobob2o12bob3o12bob 3o10bobobob2o9bo2bobo2bo8b2o2bobo9b2obobo10bobob2o11b2o12bo2bo 12bo2bo11b2o10bobob2o9b2obobo8bobobobo7b2o2b2o2bob2o8b2o4b2o9b 4ob3o12bobobo13bo2b2o14b3o15bo10b11o10bo10bo10bo11bo9bo18b2o 13bo3bo12bo12bo4bo12b5o!  Nice! I bet someone could make a puffer from that. Code: Select all x = 81, y = 96, rule = LifeHistory 58.2A58.2A359.2A17.2A59.2A17.2A379.2A79.2A257.A56.A56.3A427. A27.A.A27.2A213.2A3.2A2.2A7.2A187.2A7.2A2.2A11.2A112A2A2.2A 4.2A184.2A4.2A2.2A8.2A!  wildmyron Posts: 1510 Joined: August 9th, 2013, 12:45 am Location: Western Australia ### Re: Spaceship Discussion Thread 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 5bo8bo30bo8bo4bobo6bobo28bobo6bobo3bo2bo6bo2bo26bo2bo6bo2bo4b2o8b2o 28b2o8b2o9b2o38b2o7b2o2b2o34b2o2b2o7bo4bo34bo4bo7bo4bo34bo4bo6b8o 32b8o5b4o2b4o30b4o2b4o4bo2bo4bo2bo28bo2bo4bo2bo3bo3bo4bo3bo26bo3bo 4bo3bo4bo2bo4bo2bo28bo2bo4bo2bo34b3o6b3o28b3o6b3o42b3o10b3o24b3o10b 3o3bo12bo24bobo12bobo2b2o12b2o23bo2bo10bo2bo2b2o12b2o22b2o2bo10bo2b 2o7bo4bo27b2o16b2obobo3bo4bo3bobo23bob2o8b2obo3b2o2bo4bo2b2o28b3o4b 3o2b2o12b2o2bo2bo8bo2bo2bo14bo25bo4b4o4bobo3b2o6b2o3bo27bobo2bobo b5o8b5o22b2o5bo2bo5b2o2bo2bo8bo2bo23b2ob2o3b2o3b2ob2o2bo14bo24b4o8b 4o42bobo4b2o4bobo3b2obo6bob2o26b2ob2ob2ob2ob2o5bobo4bobo27bob4ob2ob 4obo5bo2bo2bo2bo28bo3bo4bo3bo7b2o2b2o30b3ob2o2b2ob3o2bo14bo26bo3bo 2bo3bo2b2o4bo2bo4b2o27b3o4b3o3b2o10b2o28b2o6b2o9b2o5bo8bo32b2o2b2o 6bob4obo3b3o8b3o30bo4bo4b2obo4bob2o28b2obo4bob2o5bo8bo29b2o8b2o3b 2o10b2o25b2ob2ob4ob2ob2o4bo10bo26bo4b6o4bo45bob6obob2o4bo4bo4b2o29b o2bob2o3b8o3b2o25bobo2b2o2bobo5b3o4b3o27b4o2b4o2b4o4b2o8b2o32bo2bo bo2bo2b2o2b2o2bo2bo24b2o10b2ob2o3bo6bo3b2o25bobo6bobo6bobo2bobo27b2o bob2o4b2obob2o2o16b2o24bo2bo4bo2bo40bo3bob2o4b2obo3bo41b2ob2obob2ob ob2ob2o41b2o5bo2bo5b2o43bo2bobo2bobo2bo41b2o4b2o2b2o4b2o45b2o6b2o! The latest version of the 5S Project contains over 226,000 spaceships. There is also a GitHub mirror of the collection. Tabulated pages up to period 160 (out of date) are available on the LifeWiki. Mr. Missed Her Posts: 90 Joined: December 7th, 2016, 12:27 pm Location: Somewhere within [time in years since this was entered] light-years of you. ### Re: Spaceship Discussion Thread 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. Mr. Missed Her Posts: 90 Joined: December 7th, 2016, 12:27 pm Location: Somewhere within [time in years since this was entered] light-years of you. ### Re: Spaceship Discussion Thread 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.

A for awesome
Posts: 2288
Joined: September 13th, 2014, 5:36 pm
Location: Pembina University, Home of the Gliders
Contact:

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.
praosylen#5847 (Discord)

x₁=ηx
V*_η=c²√(Λη)
K=(Λu²)/2
Pₐ=1−1/(∫^∞_t₀(p(t)ˡ⁽ᵗ⁾)dt)

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

NoLongerBreathedIn
Posts: 31
Joined: March 25th, 2015, 5:57 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
Posts: 1753
Joined: July 9th, 2009, 2:44 pm

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: 3614
Joined: June 19th, 2015, 8:50 pm
Location: Indonesia
Contact:

May I post random partials from zfind here?
Currently taking a little break, but still hanging around on the Discord server.