Cordership Discussion Thread

[Resu]

Is there a cordership that can replace the c/4 spaceship in this reaction?

Code: Select all

x = 53, y = 68, rule = B3/S23
bo$obo$bobo$2bobo$3bobo$4bobo$5bobo$6bobo$7bobo$8bobo$9bobo$10bobo$11b
obo$12bobo$13bobo$14bobo$15bobo$16bobo$17bobo$18bobo$19bobo$20bobo$21b
obo$22bobo$23bobo$24bobo$25bobo$26bobo$27bobo$28bobo$29bobo$30bobo$31b
obo16bo$32bobo15bobo$33bobo14b2o$34bobo$35bobo$36bobo$37bobo$38bobo$39b
2o13$44b2o$44bobo$38b2o4bo$38bobo4bobo$38bo6b3o$41bo$41b2obo2bo$44b4o
$36b2o8bo2bo$36bo2bo5bob3o$36bo3b4ob3o$38bo6bo$39b5o3b3o$40b2obobo$44b
o!

[KtT]

Is there a cordership that can replace the c/4 spaceship in this reaction?

Code: Select all

x = 53, y = 68, rule = B3/S23
bo$obo$bobo$2bobo$3bobo$4bobo$5bobo$6bobo$7bobo$8bobo$9bobo$10bobo$11b
obo$12bobo$13bobo$14bobo$15bobo$16bobo$17bobo$18bobo$19bobo$20bobo$21b
obo$22bobo$23bobo$24bobo$25bobo$26bobo$27bobo$28bobo$29bobo$30bobo$31b
obo16bo$32bobo15bobo$33bobo14b2o$34bobo$35bobo$36bobo$37bobo$38bobo$39b
2o13$44b2o$44bobo$38b2o4bo$38bobo4bobo$38bo6b3o$41bo$41b2obo2bo$44b4o
$36b2o8bo2bo$36bo2bo5bob3o$36bo3b4ob3o$38bo6bo$39b5o3b3o$40b2obobo$44b
o!

2-engine Cordership works:

Code: Select all

x = 65, y = 76, rule = B3/S23
13bo$12bobo$13bobo$14bobo$15bobo$16bobo$17bobo$18bobo$19bobo$20bobo$21b
obo$22bobo$23bobo$24bobo$25bobo$26bobo$27bobo$28bobo$29bobo$30bobo$31b
obo$32bobo$33bobo$34bobo$35bobo$36bobo$37bobo$38bobo$39bobo$19bo20bob
o$18b3o20bobo$18bo2bo20bobo$18b3o22bobo16bo$18b3o14b2o7bobo15bobo$17b
ob2obo12b2o8bobo14b2o$18bo2b3o22bobo$18b4ob2o22bobo$19bob3o24bobo$21b
3o10bo14bobo$22b2o10bo15bobo$35bo15b2o$33bobo7b2o$18b2o16bo6b2o$18b2o
bo11bo$18b4o11bo2bo$4b2o14bo$4b3o29bo$4b2obo26bo2b2o$8bo25b2obo$o3b2o
3bo24b2obobo$10bo23b2o$7bobo22b2ob3o$7bo24b4obo$2bo4bobo28b2o2bo$38b2o
$6b4o27bo3b2o$6b2o29b2obo2$31bob2o$29bob3o$28bo4bo$29b3o$30b3o$32bo$31b
o$31bo3bo$10b2o12bo6bo3bo$10b2o10b2ob2o6bo$26bo$22bo3bo$23b3o4$18b2o$
18b2o!

[dbell]

I have constructed some Cordership based edge puffers using the new sparking spaceships. A few of these have been used by my recent edge rake posts.

The term 'edge puffer' means that the produced objects touch a diagonal line which the rest of the puffer does not extend beyond, and that there are no cells beyond the line which are used while creating the object.

The really desirable puffers have the produced object further out than the puffer's edge.

Some puffers produce an object which is not quite on the edge, but is close enough to still be useful, so I am including these here too.

These puffers are all derived from the following basic ones.

Code: Select all

#C Four edge puffers used as a starting point for many others.
#C These are a block, a beehive, a blinker, and a sideways loaf.
#C The block, beehive, and blinker are on the edge, whereas the
#C loaf is almost on the edge.  The block and beehive puffers were
#C previously known.
x = 703, y = 67, rule = B3/S23
33boobo192bo220b3o198b3o$32b3obo6bobo182b3o219b3o198b3o$31bo4bobo4bo
183booboo219bo200bo$32boo6bobo3bo179boobobo220boo199boo$33bo3bobbobboo
180b3obb3o220bo200bo$36boboo3bo182bo6bo189b3o26bo200bo$35bobo16boo171b
5obo189b3o197b3o42bo$35bobo16boo172b4oboo189bo42bo155bobbo40bobo$233bo
191boo40bo158bo40bobbo$27bo204bo12boo179bo23boo15bo155boo15boo26boo$
26b3o216boo178bo14boo8boo170bobo15boo$25b3obo410boo9bo171bobb3o25bo$
24bo3bo595boobbo23b3o$23boobbobbo199bo393bo3bo22boboo$22b3obb4o31boo
164boobo191boo185bo7bo6bobo10bobo10boboo21bo$24bo3bobbo30boo348bo10boo
50bo133b3o5bobo7bo12bo11bobo20bobo$24bo6bo199bo175bobbobobbo3bo4bo50bo
132boob4obbobbo3bobbo16bo8boo20bobbo$3b3o20bobbo7bo190bobbo21boo152bo
4boob5o4bo15bo34bo133b3obbo9bo13b3o35boo$bbo3bo21booboo4bo191bo22bobbo
151bo3bo4bobo4bobo15boo167bobboobbo21boo$bo4bo21bo8bo3bo211boo167bo16b
obo172boobobo3boobbo11boo$o3bo35bobo191boo173b3o11bobboo11bobbo175bo5b
3o13boo$obbob3o33bo185b3o5boo173bo13bo3bo10boobo198bo$o7bo61boo162boo
190boo12bobo241bo$bbo3bobo61boo162bo13boo176bo13bobo40bo137boo16bo43bo
bo$bbo3boboo229bo5bo175boo17b3o40bo128boo7boo15b3o42bobbo$4b3oboo229bo
4bobo14boo149boo7boo17b3o40bo128boo23booboo42boo$20boo216bobo4bo14bobb
o148boo222bo4bo$20boo239boo138b3o31bobbobo195b4obbo$401b3o30bo6bo159b
3o33boo4bo$402bo32bo5bo159bobbo$4boo72boo323boo31bo167bo36bobo48bo$4b
oo15b4obboo49boo324bo86bo109boo88bobo$5bo15bobboboboo195bo177bo87bo
108bobo88bobbo$21booboobo196b3o42boo220bo109bobb3o85boo$5bo17bo199bo
44bobbo330boobbo$224booboo40boo331bo3bo$225b3oboo170boo200bobo$3bo5b3o
215b4o170boo202bo$3bo7bo74boo314bo199bobbo94bo$3bo5bobo10boo62boo130bo
183bo96bo102bo96bobo$9boo10bobbo176b3o8bo5bo182bobo95bo199bobbo$20bo3b
o175bo3bo6bo7bo57boo121bo98bo101boobbo10bo83boo$22boo177boo9b4obboo56b
obbo121bobboo11boo183b3o12bo$203booboo9b3o57boo123bo3bo9bobbo195bobo$
16bo188boo11bobo183boo13bo195b3o$14boo203bo184bo11bobbo200boo$8boobboo
5bo199bo195b4o203bo$8boo4boo399bo198boo4boo$18bo396bo198boo$15b4o266b
oo$14bobo267bobbo$13bobboobo207boo56boo319boo$14bo4bo204boobbo177boo
198boo$15bo213bo176boo$16bobbo203bo4bo$16boo205bo$228bo$207boo16bo$
207boo19bo$$226b3o5$215boo$215boo!

The remaining edge puffers are created by perturbing the output of the previous puffers, possibly multiple times.

Here are other puffers for the block, beehive, and blinker.

Code: Select all

#C Alternative edge puffers for the block, beehive, and blinker.
#C The beehive puffers provide both orientations of the beehive.
x = 1199, y = 150, rule = B3/S23
51bo173bo200bo224boobo197bo197b3o$49booboo171bo200bo5b3o215b3obo6bobo
187boo7bo189b3o$49booboo170bobo198bobo3boobbo213bo4bobo4bo188bobob3obb
obo$49boo174boobbo11boo183bo3bo5bo213boo6bobo3bo184b3o3boo3bo189boboo$
51boobo169bo5bo9bobbo182bo3bo220bo3bobbobboo187boboboobobo190bo3bo$24b
o27bobbo168bo5bo10boo188bobboo186bo3boobboobo20boboo3bo163bo25booboo
167b3o26b3o$22booboo25bobbo168bo4bo12bo189boo11boo175bo3boo4boboo17bob
o168boo7bo18bob5obo162b3o$22booboo26boo173bo13bo202boo175bo3boobbooboo
18bobo16bo150bobob3obbobo21b4o$22boo201b3o13boobo381boo43bobo148b3o3b
oo3bo189boboo$24boobo39bo172boo382bobbo43bobbo148boboboobobo190bo3bo
38b3o$25bobbo38bo176bo379bobo17boo26boo150booboo41b3o152b3o$25bobbo38b
o155booboo12bob3o4boo374bo18boo179bob5obo206boo$26boo12boo186bo12bobbo
3bobbo577b4o11boo194boo$40boo181boo16b3o5boo355boobbo233boo$225b3o225b
oo154bobo195bo$434boo16bobbo152bo71bo125boboo214bo$24bo404bo3bobbo16b
oo162boo60bobo128bo206bobo3bobo$7bobo13boboo48bo352bobo3boo174boo5boo
19bo13b3o24bobbo121bo3bobbo196bob3o4bobo4bo49b3o$7bobobo9bo53bo163boo
186bobbobbo195boo4boo3boo12bo25boo120bo9bo4boo59b3o125boobo4bo6boboo$
6bobboobo11bobo48bo166bo14boo169boo4bo3b4o169boo15bobbo3bo5bo11bo148bo
4boobboo4boo189boo4bobbo5boo$7boo3bobobo3bobbobo213bobbo13bobbo174bo3b
o3bobo165bo18bobbobboo3bo170boo15bo8b3o11boo161bobbo3boobo$7boo3booboo
3bo5bo213boo15boo174bo5bo4boo162booboo17bobo4bob3o162bo5bo13boobobo7bo
14boo159bo4bobbobboo$11boboo5bobbooboo212boo190bobo5boo4bo14boo148boo
17b3o7boo163bo4b3o17bo6boo12bo157bobbo10boboobo13bobo$10bobo8bo3boobo
11b3o196bobbo189bobo7b4o14bobbo145bo27boboboo45bo117bo4boo12booboboo7b
obo168boo11bo4bo10boo$24b3oboo9bob3o195bo204bo16boo175boobo45bobo118b
4o14bo12bobbo183bobo10boboboo$21bo3b4o13bobo38bo156b3o373boo22boo45bo
bbo135bo4bo7bobo179boo18bo40b3o$23booboo15boo38bo145bo194bo191boo70boo
136bo13bo45b3o123boo7boo17boobo$bbo9boo8bo17bobbo39bo140bobbobobbo3bo
28boo157bo175bo3boobboobo191bo12boo8bobbo171b3o8boo28bo$ooboo7boo26b3o
181bo4boob5o27bobbo156bob3o171bo3boo4boboo24boo35b3o6bo10boo105boo7bo
4boo10boo171b3o$ooboo36bo182bo3bo4bobo29boo159b3o171bo3boobbooboo25boo
34bo4bo3bobo8bobbo103bobob3obbobo221boo$oo32boo391bo41boo133boo68bo4b
oo3bo10boo103b3o3boo3bo26boo58bo102boboo29boo$bboobo28boo190b3o198boo
39bobbo130bobbo68bo6bo119boboboobobo27boo10bo23b3o6bo13bobo101bo3bo$3b
obbo196boo22bo200bo40boo131bobo70b3obobbobo117booboo68boo3boobo13bobo
103b3o$3bobbo84bo114boo4bo215boo173bo52bo22b5o119bob5obo42bo19boo5bobo
14bo191b3o$4boo85bo111boob4o3bo186b3o245b3o3b4o26bo122b4o68b3obo202bo$
91bo108b5o4b4o60boo129bo20booboo218bobo3booboo187b3obo31boo185b3o8bo5b
o$203b3o6bo59bobbo128boo13bo6b3o219b3obbo49boo141b3obo217bo3bo6bo7bo$
74bo129bo68boo129bobbo11bo6bo226boo3bo43bobbo141bo8boo144bo66boo9b4obb
oo$70b4oboo5b3o118b3o199bobo11bo57boo175b4o45boo143bo3b3oboo48bo94bobo
67booboo9b3o$bb3o64boob3oboo4b3o125bo13bo180bo70bobbo175b3o10boo179bo
6bo48bobo94bo70boo11bobo11bo$52bobo15bob3obo7boo124bo14bo178boo14bo56b
oo189boo180bobobobo48bobo93boo84bo11bobo$bbobo38bob3o4bobo16bo3b4o4boo
138bobbo176bobo13bobo429bo15boo37bo94boo84bo12bobo$3bo37boobo4bo5bo18b
oob3o20boo124bo178boo11bo200boo10b3o233boo133bo59bo38boo$4bo38boo4bobb
obbo19b5o20boo121boo56boo119boo14bobbo196boboo8bo175bo193boboo13boo42b
obo$4boo10b3o30bobbobbo20bo147bo55bobbo120bo12boobo182boobb5o6bobboo6b
o4boo75boo96bo6bobo182boboobo9b3o42bobo$boboobo9bobo29bo4bo170b4o4boo
47boo133b3o184bo7bo11bo4bo3bo8boo6boo59bobbo90bo11bobobo180bo4bo11bo
42bobbo$b4oboo8boobo24bobbo16boo159bo191booboo63boo116bo4boboo13bobbo
bbo4bo4boo6bobbo58boo90bo3bobbo10boboo89bo89bobo7bobbo44bobo35boo$bb5o
11bo26boo17boo159bobobbo186bobboo51bo10bobbo119b3o12bobo3bo3bo3bo11bo
3bo151b3obbo10boobobo5bobo6boo71bobo98bo20bo29bo34boo6bo$4boo11b3o205b
o4bo187b3o51boo11boo136bo5boobob3o11bo13boo10boo129bo3bo13bobo4booboo
5boo6bo3b3o58bobo101boo15bobo27boo41bobo$16bobbo8bobo190bobbo3bo190bo
51boboo157bo16b4o8boobo10boo130boo15bo6boboo12bo3bo3boo57bo102bo15boob
oo26bo43bobo$17boo8bobbo77boo109boobobo3boo59bo181bobboo157b4o14bobbo
6boobo9bo132bo27bo11bo8bo177bobbo71boo$28bobo77boo95boboobo9boobobboo
60bobo178b4ob3o158boo15b3o4b3obboo168bo13bo3b5obbo176b3o56bo$37boo34b
oo129bo4b3o9bob3o46bo14bobbo177bobbobobboo132boo41bo5bobo57boo113bo16b
o6b3o10boo163bobo45boo8boo$37boo35boo129bo5bo10bo48boo15boo179bobobob
3o132boo47boo57bobbo106bo29boboo8bobo133boo29boo46boo6boboo$6boo22bo
18boo9boo11bo132bo3bo11b3ob3obbo13bo24b5o132boo61boob3obo16bo145boo10b
oo65boo89boo47boo11bo49bo83boo29boo12boo31bo8bobboo10boo$6boo21boboo
15bobooboobo4bo145bobo14bob5o13bobo22bo137boo37bo23b4obbobo14bobo138bo
5boo10boo156boo20bo88bobo127boo38b4ob3o9boo6bo$29boboo18boo3bo169boob
oo12booboo20boo5bo8boo159b3o25bo3bo15bobo130b3o3b4o203boo10boo68bobo
166bobbobobboo15bobo$28bo3bo16bo6bo186boo16boo4b3oboo171boobbo24bo3bo
16bo131bobo3booboo25boo160b3obo10boo11bo69bo168bobobob3o16bobo$29b4o
17bobboo61boo131boo9bobbo4boboboobboo9boo8bo145boobboo24bobbo149b3obbo
30boo160b3obo22bo183bo56boob3obo17boo$29b3o18b3o5boo56boo93boo30b3obbo
12bobbo4bobbobboo9bo9bobo145boo185boo3bo188bo8boo25boo156boobo11bobo
55b4obbobo$57bo153boo34boboo20boo14boo6bobbo146b5o182b4o91boo97bo3b3ob
oo25boo155b3obo9b3oboo57bo3bo$36boo20boboo160bo22bobbo24boobo19boo151b
oo182b3o90bobbo97bo6bo182bo4bobo8bob3o57bo3bo$30bobo3boo22bo161bo15bo
9bo11bo15bo138boo30bobbo51bo224boo99bobobobo95bo87boo6boboobbo62bobbo
12boo$21bob3o4bobo26bo170b3o3b4o6boo11boo3bo150boo31boo12boo37bobo325b
o99bobo87bo3bobbo4b3o77boo11bo$19boobo4bo5bo24boo161booboo4bobo3booboo
19bo3boo196boo37bobo425bobo90boboo6bobob3o84bobo$21boo4bobbobbo24boo
170b3obbo10bo13boboboo3boo231bo427bo90bobo9boo4bo11boo71bobo$27bobbobb
o90boo95boo12boo3bo3booboo11bo3boo3boo34bo715bobo9bobo3bo10bobboo70boo
$26bo4bo92boo94bo3boo10b4o7bo13b3o40bobo139boo584b3ob4o10bo4bo$22bobbo
194bo3bo12b3o4bo16b3o39bobbo125bo12bobbo286boo297bo19bo$23boo196bobo
22bo57boo122b4oboo10bobbo285bobbo275bo9boo7boo17bobbo21bobo$222bo204b
oob3oboo9bo64bo130bo93boo201bo73bobo8boo26b3o22bobobo7bo30boo$242boo
52bo131bob3obobbo4bobbo3bo59bobo118boo9b3o293bobo71booboo59bobboobo4b
3o30boo11bo$233boo7boo16bo53boo113bo3b4obobbob3obboo59bobo117bobobo7b
3o293bobo72bobbo29boo29boo3boboboobo42bobo$233boo24b3o38bo13boo116boob
3o3boboboobboo59bo118bo3boo5bo3bo3bo186b3o100bo75b3o28boo29boo3boob5o
43bobo$132boo124boobbo170b4o8boo3boo178boo8b4o3bobo183bo3boo175bobo63b
oboo3boo24bo19boo$132boo123boobboo29b3obo137bo10boo4boo177b3o7boboo3bo
bo177b3o3bobobboo175boo62bobo31boo$223bo37bo30b3obo147bo5boo13bo182bo
183bo5bo7boo167boo95bobbo$39b3o180bobo38boo5bo22bo8boo120bo19bobo16boo
boo365bobboo9boo264bobo$39b3o179booboo37boo4b3o22bo3b3oboo119b3o8boo8b
3o17bobo51bo314bo9bo269boo$23bo4bobo7bo3boo177boo45booboo22bo6bo119boo
bbo7boo25boobo52bobo322bo297bo$22bobobboobboo6booboo183boo38boobobo23b
obobobo19boo97boobboo35bobo52bobo322boboo167bo91bo33bobo$22bob4obbobo
6boobo178b3obbo39b3obb3o23bo24boo98boo32boo5bo54bo115boo207b3o168bo90b
o34bobo$23bo6bobo9bo182boboo38bo6bo148b5o28boo176boo208bo169boo88bobo
34boo$27bob3o10bobo178bobbo41b5obo152boo404boo178b3o88b3obboo$43bo182b
o9bobboo28b4oboo149bobbo404boo269bo5bo$224boo8boo5bo32bo151boo655boobo
8b3o7b3obbo$241bo31bo12boo238bo487b3o11bo50bo3b6o4bo3bo7b4obo$224bo61b
oo237bobo484bo4bo8booboo47bo5bo4b3ob3o5bobbobboobo37bo$30boo190booboo
9bo3bo89boo193bobo484boo3bo10bo49bo12bo5bo4b8o37bobo$30boo193bo10bo93b
oo194bo487b4o11bo49bo9bo3boobo4b3oboboo39bobo$222bo14bo16b3o13boo152b
3o601boo54bo8boobo52boo$224bo11b3o13b7o9bo155bobo600bobbo53bobbo7boob
oobo$251b9o11bo152bo603boo56bo13bo$241bobo6bo7b3o163bobbo669boboo$242b
o3bo4b3o12boobboboo151bobo11bo658bo$235boo4bo3bo6boo13bobbo155b3o9b3o
645boo49b3o6bo$235boo4bo13bo10bo4bobo64boo88boo7b5o575boo67boo48bo4bo
3bobo$256bo13boo3boo61boo82b3o4boo6boo578boo117bo4boo3bo$257bo12boobbo
boo11bo138boo8b3o695bo6bo$227boo19bo19boboo3boo10booboo146b3o696b3obo
bbobo19bo$227boo18b3o17booboo3bo162bobbo676bo22b5o20bo$246booboo7boo7b
oobo14booboboo147boo669b3o3b4o26bo19bo$245boobobo7boo9bo18bo821bobo3b
ooboo$244b3obb3o33bobbo821b3obbo$245bo6bo27boo4boo58boo767boo3bo$246b
5obo27boo64boo80boo686b4o$247b4oboo174boo687b3o10boo$252bo877boo42bo$
251bo922bo$1093b3o78bo$1092bo$1091bo4boo$249bo840bo3bo8boo6boo$247boob
o839bobbo4bo4boo6bobbo$1090bo3bo3bo11bo3bo$250bo840boobob3o11bo13boo
10boo44bo$247bobbo12bo830bo16b4o8boobo10boo43bo$248bo13b3o830b4o14bobb
o6boobo9bo45bo$262boobo831boo15b3o4b3obboo$253boo9b3o848bo5bobo$246b3o
5boo8boo855boo$253boo9boo836boo10boo$253bo10boo830bo5boo10boo$262boobo
822b3o3b4o92bo$263boo823bobo3booboo25boo64bo$1088b3obbo30boo64bo$1093b
oo3bo$1094b4o$252boo841b3o$252boo$$1198bo$1198bo$1198bo4$1103bo$1092b
oo9b3o$1091bobobo7b3o$1091bo3boo5bo3bo3bo$1092boo8b4o3bobo$1092b3o7bob
oo3bobo$1110bo5$1096boo$1096boo!

Here are puffers for the various loaf orientations.

Code: Select all

#C Edge puffers for the various orientations of a loaf.
x = 930, y = 152, rule = B3/S23
25bo203bo195bo226b3o169bo$21b4oboo5b3o192b3o193boo7bo216b7o6bo158boob
oo$20boob3oboo4b3o191booboo191bobob3obbobo214b9o4bo162boo$21bob3obo7b
oo189boobobo190b3o3boo3bo214bo7b3obboo159b3o15boo$22bo3b4o4boo189b3obb
3o190boboboobobo216b3o6bo3bobbo158bo3bo10bobbo$25boob3o195bo6bo190boob
oo195boobo22boo11b3o157bo3bo$26b5o13boo181b5obo191bob5obo189b3obo6bobo
16bo10bo159b3obo$27bo16boo182b4oboo194b4o11boo176bo4bobo4bo19bo171boo$
233bo210boo177boo6bobo3bo17bo17bo151bobo10boo$232bo12boo377bo3bobbobb
oo36bobo151bo11b3obboo$245boo380boboo3bo37bobbo149boo12bo$626bobo16boo
26boo149b3o11boo5bobboo$626bobo16boo177boboo11bo4bobbobbo$230bo592b5o
11bo8boo$45bo6boo174boobo377b3o228bobo$44b3o4bobbo378bo18boo155bobo
229bo$38bo5boboo4boo177bo199b3o17bobbo154b3o43bo25bo$38bo4bo184bobbo
21boo173b5obo17boo164boo35boo23bobo$38bobboo186bo22bobbo171bobo5bo182b
oo11bo22bobo23bobbo154b3o$44bo208boo171bobboo8bo171boo18bo9boo38boo
155b3o15boo$40bo3bobbo186boo191b4o9bo168booboo16bo3boobo3boo198boo12bo
bbo$40bobb5o179b3o5boo191boo15bo163boobboo21boo199b3obbo13boo$41bobob
oo13boo172boo200b4o5boo161boo3boo22bo$42bob3o12bobbo171bo13boo186b3o4b
obboo12boo147boobboo15bo211bo$25bo34boo177bo5bo192bo6bo13bobbo147bobo
17bo3bo54bo147boo3bo$25bo213bo4bobo14boo197boo169boo6boboo45bobo147bo
bbo$24bobo211bobo4bo14bobbo353boo21bo47bobbo147bobo$25boobbo231boo339b
oobo11boo20bo49boo136boo3b4o28boo$24bo5bo394bo175b3obo6bobo207b3obobbo
6bo26bobbo$24bo5bo392booboo172bo4bobo4bo28bo184bobbobb5o27boo$24bo4bo
38boo355bo175boo6bobo3bo24bo43bo141bobbo$28bo38bobbo397boo132bo3bobbo
bboo62b3o3b4o142bo$b3o21b3o40boo155bo241bobbo134boboo3bo63bobo3booboo
138bobo$224b3o42boo155boo40boo134bobo69b3obbo144bo$bbo15boo203bo44bobb
o153bobbo175bobo74boo3bo13boo98bo3boobboobo$bboob3o10boo3booboo196boob
oo40boo130bobo20boo3bo252b4o14bobo97bo3boo4boboo58boo$bob4o11boo8bo
196b3oboo169bobbo20bo4bo253b3o15bobo96bo3boobbooboo58bobbo$bob3o17boo
202b4o170bobo20bo3bo273bo101boo66boo$bb3o15bo4b3o48boo339boo6bobbo373b
obbo$3bo14boobbo52bobbo139bo198bobo6bo49boo324bobo19bo$17bo4bo53boo
123b3o8bo5bo184bo13b3o55bobbo324bo19b3o$16bo183bo3bo6bo7bo57boo123bob
oo11bobbo55boo143bo200bobbo$ooboo15boo179boo9b4obboo56bobbo122boboo12b
o201boo86boo111b3o$ooboo12booboo181booboo9b3o57boo122bo3bo12bo190bo9b
oo87bobo110b3o56boo$boboo14bo185boo11bobo181b4o198bo3b5o5boo89bobo111b
o55bobbo$bboo215bo182b3o15bo182bobo7boo4boboo39b3o45bo112bobbo53boo$
84boo133bo197bo185bo7boboo5boo40bobo158boboo$83bobbo330bobbo63boo118bo
8boo8boo37b3o$84boo330b3o64bobbo118bo3b4o10boo195bo5bo$17bo267boo129b
3o65boo124b3o23bo182bobo4boo$16b4o264bobbo128bobbo215bobo26boo50boo
100bo3bo3bobo59bo$16b4o207boo45bo10boo130bobo205bo8bo3bo23booboo49bobo
84boobb5o6bo8boo58bobo$71bo152boobbo45bo142b3o204b3o8bobo24boobboo49bo
bo83bo7bo6bo3bo3b3o41bo15bobbo$68b4o21boo134bo44bo192b3o141boo10b3obo
8bo14b3o7boo3boo50bo84bo4boboo7bobbobb3o16bo24boboo14boo$6boo8b4o72bo
bbo127bo4bo46boo15boo150b3o29bo134boo9bo3bo23bo3bo7boobboo139b3o11b6o
16b3o27bo$6boo9b3o65b3o5bobo127bo51b3o13bobbo111boo35bo25boo5b3o14bo
127boobbobbo7b4o10b3obbo7bobo12b3o141booboo16bobbo20bo3bobbo$18bo22bo
52bo133bo46boo14bobo112boo35bo3bo21b4o4bo14bobo125b3obb4o6bo4bo9bo3bo
25bo142boo18b3o19bo9bo$40boboo27bobo12boo119boo16bo66bo148boo3boo21boo
b3oboo14bobo127bo3bobbo7bo13b3o25bo163b3o14boo3bo4boobboo$44bo27bo13b
oo119boo19bo211bobbobobbo25bobo16bo128bo6bo4bo3bobbo9boo7boo62boo116bo
boobo12boo12boo20bo$38bo3bobbo24boo13bobbo351bobbobobboo174bobbo6bob3o
bo19boo62bobo83boo31bobb3o18bo5bo21bobo$36bo9bo11b3o9bobbo11bo140b3o
213booboobbo176booboo4b3obo85bobo82boo31b4oboo18bo4b3o18bobbo$36bo4boo
bboo22booboo10b3o14boo171bo168bo4bo177bo57bo41bo117bob3o20bo4boo19boo$
14boo29boo36bo16bobbo171bo24boo144booboo232b3o26b3o114b3o6bo7b3o10bo
11b4o$14boo15b3o4bo5bo37boobo15bobo170bo24bobbo111boo29b4o52bo151bo
167boo5bo4bo3bobo7boo10bo$32bo6bo4b3o34boobbob3o12bo196bobo112boo30boo
13boo37bobo130boo15b5o28b3o27bo114bo4boo3bo21bo$32bobbo4bo4boo12b3o5b
oo11bobbo131boo83bo160boo37bobo121boo7boo14bo34booboo24boob3o102boo5bo
6bo22bobo7boo$32bobbo6b4o12booboo4boo12b5o129boo284bo122boo60bo25bob4o
19boo82b3o5b3obobbobo4boo16bo6boo34bo$33bobo21boboboo19b4o564bo3bo45b
oo10bob3o19bobbo80b3o10b5o5boobo56bobo$57bo3bo22boo565b3o46boo11b3o5b
oo14bobo78b3obbo14bo4b4o12bobo40bobbo$58bobbo47boo603bo6boo15bo80bobo
23bo14boo41boo$58b3o47bobbo143b3o7bobo40boo115bobo6boo11bo372boo$40boo
67bobo146b3o5bo40bobbo113bo9boo11bo61bo104bo38boo29bo136bo19boo15b3o$
31boo7boo68bo147b3o46bobo115bobbo12boobbobo60bobo102bobo9b3o24bobbo21b
oo4bobo25booboo116boo7boo14bo3bo$31boo210boo14bo48bo118b3o11boobbobb3o
57bobo101bo3bo7b3obo24boo12bo3boo4b3o4bo26booboo116boo23boobbo$63boo
164bo9bo3b3o199bo6bo56bo103bobo8booboo38boboobbo6bo31boboo29boo109bo4b
oo49bo$62bobbo163b4o5bobobbo202bo6bo10bo149bo10bobbo38bobb5obb5oboo23b
oo3boo29bobbo74bo33bobbobbo48bobo$62bobbo163bo3bo5bo3bobbo175b3o24bo3b
o11bo161boob5o36b3o3b3oboobo23boo35bobo73b3o32bobbo50bobbo$65bo51boo
128bo173bo27bobboo11boo147b4o13b4o35b3o29boo42bo74bobbo37bo48boo$19bo
40bo3bo51bobbo111b3o10bobo69boo103bo3bo16boobo4boo12boo147bo4bo10b3o
38boo10b3obobo10bo121b3o$18boboo11boo25b3o54bobo99bo25boo7boo59bobbo
100boo3boo7boo11bo13boob3o51bo97bo54bo15b3o11bobboo116b3o$22bo10boo83b
o100bo34boo59bobo100bobbobobbo6boo8bobo14b5o51bobo93bo3bobbo66boo11bob
o118boboobo$16bo3bobbo9boo5bo178bo96bo101bobbobobboo16bo15bobboo42bo8b
obo93bob3obo62boo16bobobo117bobb3o$14bo9bo9boo6bo180bo42boo152booboobb
o27boo5bo30boo7boobbobo8bo95b3obo13bo40boo7boo18boo50boo66b4oboo92bo$
14bo4boobboo9boo4bobo176b3obbo42boo152bo4bo28boo36b3o6b4o3bo120bobo29b
o9boo28bo49bobbo66bob3o92bobo$23boo8bobo4boo176bo4bo42bo157booboo64boo
bobo7bo125bo28b3o36bo52bobo68b3o91bobbo$16bo5bo9b3o90boo91bo3bo4boo
194b4o69boo10boboo115bo3bo62boo58bo70boo92boo$17bo4b3o7bobbo88bobbo91b
3o5boo95boo98boo82bobo116bo8boo23b3o30boo$18bo4boo8b3o89bobo120bo74bo
bbo182bo8boo6bo100bobbo5boo24booboo$20b4o10bo4bo86bo119boo75bobo192boo
5bobo100b3o33bo156boo$37bobbo177bobo28bo74bo200bobbo101bo190boobo$36bo
181bobo23bobobbo174bo59bo41boo233boo58b4o12bo90bo$36bobbo178bobo23bobb
3o175bo56booboo273bobbo59bo11boboo88bobo$36b3o179bobo24b4o175bo193boo
141bobo71bobo88bobbo$43boo174boo25bo238boo131boo42bo99bo73bo4bo85boo$
43boo181boo18bo85boo103boo47bo174bobo178bo$221boo3boo103bobbo145bo3bo
49bo127bo171boo5bo$207bo9bo3b3o107bobo95boo53bo3bo44bobo298boo$41bo
165b4o5bobobbo110bo89bo5bobbo101bobbo124boo$41bo165bo3bo5bo3bobbo197bo
5bobbo102boo124bobo106boo$25boo198bo196bo4booboo50bo195bo89bobbo54boo$
25boo182b3o10bobo203boo9b3o41b3o174b3obobo9boobo89bobo54boo$223boo212b
o3bo222b3o9bo93bo$38bo398bobbo30bo192boo8b4o$36boo399b3o15booboo6boboo
bboo68bo132boo$37boo416boo8bob5o41bo27bobo133b3o$455boobobo5bo4boo39bo
bo26bobbo132bo$427boo29bobo11bobo38bo28boo$33boo195boo195boo30boo$33b
oo195boo214bo25b3o$446bo219boo$445bobo46bo171boo$222boo222boobbo43boo
54bo$225booboo215bo5bo41bobo53bobo$212boo5bo4boo219bo5bo97bobbo$212boo
12boobo215bo4bo3boo94boo$219bobbo4boo220bo4boo$221bobobo220b3o25boo$
225bo$472bo$444booboo22booboboo80bo$449bo21b3obbo80bobo$220boo222boo
111bobbo$220boo336boo$446boboo3boo$448bo4boo$433booboo6boboobboo$433b
oo8bob5o$433boobobo5bo4boo$436bobo11bobo$437boo$450b3o6$457boo$457boo
4$451boo$439boo10bobbo$439boo11b3o$450bo4bo$452bobo$450bobo4$447boo$
447boo!

Here are puffers for the various boat orientations.

Code: Select all

#C Edge puffers for the various orientations of a boat.
#C The last puffer is a few diagonals away from being a true edge puffer.
x = 955, y = 162, rule = B3/S23
52bo175bo206bo214bobo200bo$51bobo173bobo188b3o8bo5bo214bobobo7bo189b3o
$50booboo171booboo186bo3bo6bo7bo212bobboobo4b3o188b3obo$50booboo172bo
bbo187boo9b4obboo213boo3boboboobo187bo3bo$49b3o177b3o188booboo9b3o213b
oo3boob5o186boobbobbo$49b3o3bo173bobo190boo11bobo185bobo28boboo3boo
185b3obb4o$24bo24b3o4bo173boo204bo7boo177bobobo7bo17bobo194bo3bobbo$
23bobo24boo5bo9b3o160boo12boo190bo7boo176bobboobo4b3o188b3o23bo6bo$22b
ooboo23b3o14bobo174boo377boo3boboboobo36bo150bo3bo24bobbo$22boo16boo9b
oo15boo553boo3boob5o36bo149bo3boo26booboo$28boo9bobbo9boo390b3o180bob
oo3boo36bo150bo30bo$22b3obbo12bobbo9bo174bo397bobo16boo177b4o41bo$26bo
boo22boo175bo214bo200boo179boboo38bobo$24bobbo23bo177boo379bo215bobbo
38bobbo$17bo9bo11bo11bobo22bo151b3o221boo155bobo215boo12boo26boo$9b3o
3b4o6boo11boo3bo8bobo20bobo174boo197bobbo153bo3bo228boo$9bobo3booboo
19bo3boo8boo20bobbo172bobbo197boo155bobo43boo23bo$9b3obbo10bo13boboboo
31boo151b3o20boo186boo168bo7boo34bobo23bo$14boo3bo3booboo11bo3boo182bo
4bo204b5o176boo36bo23bo144boo$15b4o7bo13b3o184boo3bo14boo191bobo167b4o
16boo9boo168bo13boo50bo$16b3o4bo16b3o186b4o14boo192boobo164bo4bo20bobo
3boo164boobobo12bobo48bobo$25bo222boo175bo19bo165bo23boboo168bobbooboo
10boo49bobbo$84bo155bo3b5o175bobo18boo13boo146bo3bobbo20boo169bo5bobob
o7b3o49boo$21boo60bobo153bo5boo13boo197bobbo145bob3obo193boobbo4bobb3o
bobboo$12boo7boo16bo43bobbo151bo4boo14bobbo161bobbo32boo147b3obo16bo
57bo123bobboo4boobbo16bo$12boo24b3o43boo151bo22boo164boo203bo8boo46bo
123b3o9bo4boo10bobbo$37boobbo195bobbo186bo189boo20b3o46bo136bo4bo$36b
oobboo195bobo361bobo13boo205bo5bo11bobbo39bo$bbo37bo560bobobo7bo209b3o
3bo13bobo38bobo$bobo38boo357b3o196bobboobo4b3o61b3o124b3o8boo9bo16bobb
oo38bobbo$ooboo37boo48bo308b3o64boo131boo3boboboobo61bobbo122bo3bo7boo
26bobo41boo$oo89bobo143boo29boo132bo21boo41bobbo130boo3boob5o64bo121bo
3boo35b3o$6boo83bobbo128b3o11b3o27bobbo132boo21bo41boo135boboo3boo61b
oo19bo104bo33boo$3obbo69bo7bo8boo132b3o10boo27boo134bo19boo178bobo67bo
bo18bobo104b4o29boo$4boboo66b3o5bobo141b3o7b3obo162bo14boo255bobb3o14b
obbo105boboo85boo$bbobbo67boob4obbobbo141bo8b4o178boo256boobbo10boobbo
bo106bobbo84bobbo$5bo9bobboo54b3obbo157boo437bo3bo11bob3o108boo41bo43b
obbo$3boo8boo5bo24b3o6bo20bobboobbo18bo113bo461bobo15bo150booboo24bobo
15boo$20bo25boo3boobo24boobobo15bobo98bobo6bobb4o184boo20b3o50boo201bo
13bo180bobbo$3bo41boo5bobo28bo17boo97bo9bob4o60boo123boo19bo3bo48bobbo
200bo14b3o8bo143boo24bobo$booboo9bo3bo30b3obo146bobbo6b3o3boo56bobbo
123bo18bo3bo50boo217bo8bobo97bo45bo$4bo10bo37boo148b3o9bobboo56boo124b
o15bo3bo197boo83bobo96bo39bo3bo15boo$bo14bo48boo149boboo181bobo15boo
198bobo55bobo26boo95bobo42bo3bo11boo11bo23boo$3bo11b3o47boo150bo182bo
16bobo188boobo6bobbo42bo13bo125bo71boboo20bobbo$96boo303bobboo11bo186b
o3b6o4bobbo38boobobo138boo70boboo20bobbo$20bobo73boo11bo292bo3bo11boo
183bo5bo4bo3booboo37bobbooboo23bo112b3o11bo14boo11bo28bo3bo21boo$21bo
3bo3bo78bobo293boo14bo63boo117bo11bo4boobo36bo5bobo4bo16bobo12boo110bo
bo16boo4bo4b3o26b4o$14boo4bo3bo3b3o78boo173boo118bo13b3o62bobbo117bo9b
o7b3o36boobbo8bo14boo14boo6bo88bo4boo7bo3bo12boob4o3bo32b3o$14boo4bo6b
ooboo6boo183bo59bobbo130boboo63boo123bo13boo12bo27bobb3obbo18bo19bobo
87bo5bo8bobbo9b5o4b4o22bo$26boo3bo6boo182b4o58boo133boo49bo138bobbo20b
4oboo5b3o17b3o21boboo20bobo86bo5bo8bo15b3o6bo4b3o13bobo6boo$27bobobobo
11b5o172b4o190bo53bo140bo20boob3oboo4b3o41bo3bo20boo91bo10bobo13bo12b
3o13bobo6boo35boo$6boo20boobobbo10boobo177bo22boo165bo53bo162bob3obo7b
oo40bo4bo122bobbo12b3o11booboo12bo43bobbo$6boo23boobo12boobo7boo10b3o
22bo129bo188boo51bob3obo160bo3b4o4boo42bobbo124boo20bo10bo12b3o41bobbo
$32boo15bobo6boobo10bo21bobo20bo98bo5b4o22bo3bo161bobo50bob5o11b3o5boo
116boo24boob3o49boo146bo8b3o12bobo42boo$50boo5boo3bo8bo44bobo97boo4bo
30bo152boo5b3o55bobo11b3o4bobbo115boo25b5o13boo55boo$56bo3boo32bobbo
19boo87boo10bo9bo17bo7bo37boo112boo5bo54boo14boboo5bobo143bo16boo55boo
6bo123boo16boboo$56bo39boo108boo5b3o10boo17bo4bo27b3o10bobbo119boo52b
oo13b3ob3o4bo125b3o83bo13bobo84boo27boo7boo15bobbo$37boo10boo6bobo37bo
116boo11boo17bobobo4bo22bobbo10boo120boo26b3o24bo13bo135bo3bo66booboo
6boboobboo12bobo83boo27boo68bo$37boo10boo60boo133bo8bo25bo160bobo24boo
12b3o133bo3bo66boo8bob5o15boo102bo32bobbo42b3o9boo$23b3o6bo78boo134bo
4boobo22boo151b3o8b3o25bo3boo8bo134bo3bo42b3o21boobobo5bo4boo116booboo
30b7o38boobbo7bobbo$24boo3boobo26boo187boboob3o21bobo150bo3bo23boo10bo
158boo37bo24bobo11bobo149b3obboo37boobboo7bobbo$23boo5bobo26boo64bo
123b3oboo23bobb3o145bo4bo22bobboo6boboo11bobbo14boo117booboo4boo36bo
26boo131boo44boo29boo11boo$28b3obo61boo28bobo139boo11boobbo130boo12bo
3bo11boo11booboo7bo11boo3bo13bobbo117bobbo27boo53b3o6boo110bo45bobbo4b
o22b5o$31boo63bo28boo87boo50boo11bo3bo130boo12bobbob3o6booboo14bo21bo
17bobo118bobo23boobboo62boo11bo92bo3bo44bobb3obobbobo25boo$95boo117boo
64bobo18boo125bo7bo5boobboo10boo42bo120boo25bo77bobo95bo3bo40bobbo4b4o
24bobbo$94b3o185bo17bobo127bo3bobo4boo3boo11bo7boo151bo3bo22b3o29bo49b
obo139bobbo33boo19bo$94boo23boo158bobbo18bo128bo3boboo4boobboo19boo
150bobobobo22bo29b3o49boo142bo6bo46bobo$93b3obo21boo157bo153b3oboo5bob
o174bo56bobobo142bo48boobo51boo$94bo3bo131bo8boo37bo397b3ob3o12bo129b
3o53bo11boo$96bobbo33bo96b4o5boo11boo28bo226boo117boo20bobo41bobo182b
oo12boo$96b3o33bobo95bo3bo11b3obboobo20bo3b3o226bobbo103bo12boo21bo26b
ob3o13boo158boo$83bo13boo13bo20boo111b5oboboo184boo17b3o47bobo99b4oboo
5b3o52b5o9bo3bo40bo87b3o28b3o$80b4o28boo118b3o14b3oboo54boo120boo7boo
14b3obo36bo12bo99boob3oboo4b3o52boobboo11bobboo36bobo86b3o28boobo$112b
oo113boo28b3o10bo37bobo120boo24booboo34bobo112bob3obo7boo53boboo14bo
38bobo85booboo11bo18bo76bo$33bo3boo75bo141bobbo10boo37bo147booboo33boo
boo112bo3b4o4boo56boo9bobboo22b4o14boo89bo11boo9bo3boo3bo4boo68bobo$
27boboo3boboobo73bo112bo3bo28bo9bobo187bo36bobbo115boob3o57bobobbo11bo
24boobo103b3o11b3o18bo3boo19bo48boo$25boobo3bobo4boo4bo37bobo24boobo
117bo23bobbo239b3o115b5o56bobobbo36bobobbo115b3o16bobo15bo8boo12b3o$
28bobobb3obboo4bobo37bo24boo30bo82bo7bo5boo8boboo4bo241bobo16boo98bo
60bo40b3oboo113bobbo17bo17boo6bobbo13bo$29bo4boo8bobo35boo25bob3o26bob
o80bo4bo9boo11bo12boo194boo8bo28boo16bobo199b3oboo113bo15bo4bobo11bobb
ooboo5boo13bo$45bo36bobbo25bo3boo24boo81bobobo4bo15boo169b3o10boo24bo
bbo6b3o27boo17boo203bo21bo94bo33b3ob3o7boo$81booboo25bo5bo106bo8bo26b
oo55boo101bobo8boobbo24boo282bobo92bo18b4o13bo3boo6booboo$117bo107bo4b
oobo26boo54bobo101b3o8bo3bo33b3o221boo50bobo110boo14b3o11bobo54bo$42bo
65boo3bobo110boboob3o83bo117boo33booboo271boo126b3o12bo54bobo$40bobbo
64boo117b3oboo199boobobobboo30bo220boo135boo19boo12boo9b3o65boo$31boo
8boo66bo312boo13booboo44boo143b3o196boo20bobbo4bo4boo10boo$31boo74boo
40bo270booboo11boo48boo37boo102boo63bobo152bobb3obobbobo$107boo39bobo
269boobboo99bobo94bo5bobo64bo153bobbo4b4o26boo$107bo41boo268boo3boo
100boo91boo4bobbo3boo49boo10bo57bo95bobbo34boo$105boo218boo93boobboo
44bo143boo5boo3bobo54boo67bobo97bo6bo$105b3o216bobo94bobo39boo4bobo
142boo7boboobb3o121bobo95boobo98bo$325bo111b3o13bo3boo4b3o4bo160boobo
119boo103bo92bobo$86boo15bo333bobo13boboobbo6bo390boo93boo$86boo15boo
330b4o14bobb5obb5oboo$104boo328b3o6boo12b3o3b3oboobo62boo$104bo129boo
198bo8boo11b3o29boo43bobo203bo$99b3obo123bo5bobboo197b3o18boo10b3obobo
10bo48boo155boo23bo21bobo23bo$99b3o125bo4b3obbo199bo18bo15b3o11bobboo
131boo67boo22boo46bobo$227bo4bo4bo7boo225boo11bobo134boo90boboo20bobbo
3bob3o14boo$232b5o9bo220boo16bobobo224bobboo21bo4bo$94boo137boo7boobbo
178boo31boo7boo18boo223b4ob3o21boboobobo$94boo145bo183boo21bo9boo28bo
52bo169bobbobobboo21boo3bo120bo$241bo3bo201b3o36bo52b4o169bobobob3o22b
o124bo$242b3o235boo57boobbo169boob3obo131bobbo12boboboo$447b3o30boo41b
o15bobboo169b4obbobo50bo80b3ob3o9boobobo$232boo214booboo43b3o23b3o16b
oo173bo3bo50bobo79boobobo12boobo$232boo216bo70bo10bobo5bo175bo3bo51boo
81b3o15bo$500bo21booboo6bo5bo176bobbo12boo122boo$496bo3boo12bo8b3oboo
10bo192boo$498bobo13boo9b4o12boo13boo$495b3o16bobo24bobo12bobo$448bo
33bo14bo43bobo13bo301boo$447bobo32bo30boo27bo237bo78boo$448bo33bo8bo4b
oo16boo189boo72bobo$489bobo5boo14bobbo178b3o7boo11boo60boo$447boo34b3o
bbo3bo4bo15b3o5boo175b3o11boo4bobo$446bobo35bob5o6boo22boo175b3o11boob
oobboo$464bo25bo5boo66boo133bo16boobbo$446b3obobo9boobo19boo51b3o23bob
o127bo28boo$450b3o9bo102bo127boo29boo9b3o$450boo8b4o72bo5bo149boboo24b
ob3o12bo50bo$461boo31boo40b7o12bo136bobboo24b3o10bo52bobo$463b3o19boo
7boo42bo17boo132b4ob3o6boo7booboo13bo56boo$463bo21boo25boo24bo3bo13boo
131bobbobobboo5boo9boo13bo$512boo23bo17boobo131bobobob3o16bo15bo3bo$
512bobbo22bo18b3o12boo117boob3obo27boo6bo$513bobo23bo4bo11boboo12bobo
116b4obbobo26boo$452boo20b3o36bo25bo4bo11boo15bo120bo3bo$452boo61boo
21boobobo12bo6boo129bo3bo97bo$478bo34bobbo20bobo23boo129bobbo97bobo$
474bo3boo34boo22bo257boo$476bobo$473b3o$475bo18boo84boo$487boo91bobo
112boo$474boo12bobo90bo$475boo12boo33b3o$475bo14bo32bo3bo25b3o15bo$
475boo47boo29bo10boboboboo$474boo50booboo23bobbo8bob3oboo126boo$528boo
25booboo6bo5boo125bobbo$487b3o66bo11b4o16boo102b3o4bobboo$486bobb3o67b
o9boo17bobo107bobboo8bo$489boboo4boo60bo29bo108b4o9boo$486boo4boo3boo
56bo3bo149boobo$488b3obbo65bo147booboo$489bo3bo61bo3boo147b3o$490bobo
58boo3boobo149bo$550bobboo3bo$479boo68boo3bo41boo100boo$479boo68boobob
o41bobo99boo$547b3obboo43bo$546b3o$530boo13boo$530boo9boobboo$$541boo
bbo$543b3o4$538boo$538boo!

Here are puffers for long boats, ships, and ponds.

Code: Select all

#C Edge puffers for two of the four orientations of a long boat,
#C both orientations of a ship, and a pond.
x = 928, y = 128, rule = B3/S23
55bo194bo171bobo198boobo226bo$51b5o7boo185bo170bobbo197b3obo6bobo216b
3o$51bo3bobo4b3o185bo171bobo196bo4bobo4bo217b3obo$51b3o3b3o3b3o188bo
183boo182boo6bobo3bo213bo3bo$27bo29boobb3o186b3obbo182bobo182bo3bobbo
bboo214boobbobbo$28boboobobo21bo165bo25bo4bo169bo13b3o185boboo3bo214b
3obb4o$22b3o3b4o3bo18b3o166bo25bo3bo11b3o155boboo11bobbo183bobo16boo
204bo3bobbo$28bobbooboo18boo17bo149bo26b3o170boboo12bo185bobo16boo178b
3o23bo6bo$27bo44bobo152bo12bo181bo3bo12bo7boo374bo3bo24bobbo$25b3o44bo
bbo147b3obbo10boo182b4o19bobbo372bo3boo26booboo$25b3o17boo26boo147bo4b
o11bo9bobo171b3o15bo5boo374bo30bo$45boo175bo3bo22bobo186bo385b4o41bo$
8bo214b3o23bobo186bobbo384boboo38bobo$8bo200bo30b3o6bobo185b3o386bobbo
38bobbo$8bob3o196bo7bo20boob3o6boo21b3o161b3o212boo173boo12boo26boo$
10b3o68bo127bo5b3o4bobo13boobbo194bobbo210bobbo186boo$11bo6boo60bobo
125boo3bobo6bobo13booboo4boo189bobo14boo187b3o5boo$11boo5boo19bo13boo
25bobbo130bobbo4bobo14bobo5boo189b3o13bobbo179b3o4bobbo$12bo17boo5b5o
12boo25boo130bobboo4bobo15bo214boo186bo3bo177boo$12boo16boo4booboboo
10bo169boo417bobobboo162bo13boo50bo$30bobbo3bobobo600bo3bo160boobobo
12bobo48bobo$9booboo17b3o7bo599bobboo161bobbooboo10boo49bobbo$10b3o19b
o5bo3bo177boo59b3o140bo217b4o14boo145bo5bobobo7b3o49boo$10bo27bo3bo46b
o121boo7boo202bo218b3o13bobbo145boobbo4bobb3obobboo$39b4o45bobo120boo
25bo185bo8bo29boo195boo150bobboo4boobbo16bo$17boo22bo46bobbo145bobo
191bobo28bobbo158b3o185b3o9bo4boo10bobbo$5bo11boo70boo146bobo185b3obbo
3bo28boo360bo4bo$6boboobobo187bo35bobo186bob5o195boo194bo5bo11bobbo39b
o$3o3b4o3bo25boo160bo36b3o191bo197bo192b3o3bo13bobo38bobo$6bobbooboo
25boo34b3o123bo39b3o157bo25boo195b4obo172b3o8boo9bo16bobboo38bobbo$5bo
78bo120bo35boo46b3o108bobo221b5o39boo131bo3bo7boo26bobo41boo$3b3o71boo
5b3o114b3obbo75boo318bo64bobbo129bo3boo35b3o$3b3o71b4o4bo114bo4bo66bo
3boo4b3o115bobbo3bob3o59boo129bo65boo131bo33boo$77boob3oboo14boo98bo3b
o67boboobbo6bo116bo4bo62bobbo128bo21bobo175b4o29boo$82bobo15bobo98b3o
10bo57bobb5obb4o117boboobobo60boo132boo17bobo177boboo85boo$101bobo109b
oboo59b3o3b3o119boo3bo195boo12boo4bo178bobbo84bobbo$102bo110bob3o57b3o
21bo105bo15boo177bo3b3o11boo4bobo178boo41bo43bobbo$200bobo11bo3bo56boo
21bobo120boo178b3o15bo5boo219booboo24bobo15boo$200bobo12b3o57bo23bobo
300bo15b3o4bo50boo196bobbo$200bobo13bo83boo128bo170boo15b3o54bobbo170b
oo24bobo$200bobo11bo206boo7boo47boo120b3o16bo55boo126bo45bo$108boo91b
oo10bobo204b3o8bo46bobbo121bo14bobbo182bo39bo3bo15boo$20bo87bobo102bob
oo202bobbob3o3bo48boo120bo16b3o182bobo42bo3bo11boo11bo23boo$19boboo38b
o47bobo187boo119b3obboo176bo15bo184bo71boboo20bobbo$5bobooboo7bobbo38b
o48bo108bo3boo35b3o36boo6bo113b3oboo174b3o200boo70boboo20bobbo$4b5obb
oo7bo3bobo34bob3o149boob3obboo81bobo103bo391b3o11bo14boo11bo28bo3bo21b
oo$4bobb3obo11boobo36b3o147bo6bo40bo45bobo102b3o269boo131bobo16boo4bo
4b3o26b4o$10bo12b3o38bo148boo5bo40boob3o41boo94bo6bo3bo267bobbo115bo4b
oo7bo3bo12boob4o3bo32b3o$64boo152bo15bo25bob4o138bo3b3o4bo7bo63boo195b
oo116bo5bo8bobbo9b5o4b4o22bo$33boobbo27bo50boo116bo25bob3o139bo3b3obob
oo5b5o60bobbo312bo5bo8bo15b3o6bo4b3o13bobo6boo$36bobo26boo49bobo86boo
26bobo25b3o144boo3bo7boob3o60boo127bobo188bo10bobo13bo12b3o13bobo6boo
35boo$35bo16bo64bobo85boo27boobbo11boo10bo44boo112boobbo190bobbo197bo
bbo12b3o11booboo12bo43bobbo$11boo39bo9booboo51bo114bo5bo9bobbo54boo6bo
106b3o20bo26b3o141bobbo47b3o148boo20bo10bo12b3o41bobbo$11boo12bo11boo
13bo10b3o167bo5bo10boo27boo33bobo99bo6bo21bo25bo144bo3bo50bo21boo145bo
8b3o12bobo42boo$23booboo35bo169bo4bo12bo7booboo16boo11b3o19bobo98boo
27bo24bo4boo129boo9bobo51boo13bo5bobbo$23booboo10boo12boo23boo158bo13b
o7booboo15bo13b3o20boo99bo30boo19bo3bo132boo10bo52bobbo11bo6bobo149boo
16boboo$23boo12bo13bobbo21bobo141bo13b3o13boobo6boboo30bo114boo6bo30b
oo12boo5bobbo4bo164bo29bobo11bo7bo112boo27boo7boo15bobbo$25boobo6boob
oo11bobo6boo16bo45boo93bobo5bo21boo10boo32boo112boo4bobo25bo3b3o11boo
6bo3bo3bo18boo143boo29bo134boo27boo$26bobbo8boo10boo8boo62bobo98booboo
23bo42bo121bo25b3o15bo7boobob3o17bobo142b5o26boo14bo138bo32bobbo54boo$
26bobbo6bo13bo74bobo91b3obbo3boobbooboo12bob3o4boo35bo14boo107bo25bo
15b3o9bo22bo142bo19bo10bobo13bobo135booboo30b7o50bobbo$27boo24boo71bo
98booboo7bo12bobbo4boo50boo11bo89boo5bo8b3o12boo15b3o10b4o160boo5bo13b
o12boo11bo173b3obboo50bobbo$53boo170b4o3boo16b3o69bobo91bo4bo16bo5b3o
16bo12boo159b3oboo8bobo5bo9boo14bobbo12boo124boo88boo$53boo179b3o86bob
o92bobo10boo5b3o5bo14bobbo149boo22boboboobboo3bobo17bo12boobo12bobbo
124bo$33boo15boobo239boo29boo105b4o4bo4bo16b3o5boo143boo15b3o5bobbobb
oo5bo30b3o15bobo118bo3bo$24boo7boo16b3o239boo136boob3oboo6bo15bo6boo
160b3o7boo39bobobboo13bo123bo3bo$24boo26bo79boo97boo61bo141bobo5b3o57b
oo126bo10boobo20boo13bo4boo$57bo74bobo87boo7boo45bo31bo192bobo127boo
11bo12b3o5boo12bo3b3o237boo$57bobo73bobo86boo25bo28bo5b3o24boo5boo165b
3o16bo129bo22boobbo21boboo137bo99bobbo$59boo73bo112booboo25bobo3boobbo
21bobo6boo11bo153bobbo144bo24b3o164b3o96bobbo$247booboo26bo3bo5bo5bo
14bo20bobo109boo44bo170bo49boo214boo$53boo157bo34boo29bo3bo10bobbo13b
oo19bobo99boo7boo41boo15boo204bobbo$11boobbo10boo24bobbo156bo36b5o29bo
bboo6boo16bo19boo99boo25boo22bobo15boo136boo67bobo113b3o$14bobo9boo25b
oo156bobo35boo3bo29boo24b3o146bobbo22bobb3o140boo7boo68bo114b3o$13bo
12boo184boobbo36bo55boboo147bo25boobbo21boo117boo192booboo11bo$27boo
182bo5bo93boo110bo36boo24bo3bo20bobo315bo11boo$15boo12bo3boo176bo5bo
90bo114bo39boo22bobo10bobo9bo143bo5boo163b3o11b3o$26boobbobboo176bo4bo
91bo30bo83bo38b3o24bo12bo151boo7boo32bo142b3o$16boo11boo184bo9bo80boo
30bobo85boo36bo21bobbo16bo155boo31booboo17boo119bobbo$15bo196b3o9bobbo
78bobo30bobo84boo34boo22bo13b3o7boo108bo40boo35boo17bobo118bo$13booboo
206boobboo75b3o32boo79bo3b3o73boo7boo107boo12boo26bo33b3o20boo120bo$
16boo207boobbo75bo116b3o60boobbo11boo115b5o10boo4bo57bo3bo137bo$14bo
15bo179booboo11bobbo61bo14boo115bo62b3o12b3o16boo95bo21b3o28bo25bo3bo$
32bo182bo9bobbo52boo9boo12boo114boo11b3o33bo29boo16bobo94boo5bo16boo
28bo26b3obo$27bo4bo177boo13bobbo51bob3o8boo127b3o10boobo31boboo28boo
15boo94b3oboo10boboo5boo27bobo27boo129boo$27bo4boo178b3o65bo3bo10bo51b
o76bo13boo34bo26bobbo111boboboobboo6booboobbo30boobbo11boo10bobo19bo
109boo$29bobbo3boo187b3o53boobo5b5o6boo43bobo73bo14boo29bo3bobbo25boob
oo111bobbobboo6boobboo32bo5bo9bobbo10bo19bobo3boo$29b3o4boo192bo51bo
10bo6bobbo43bobo74bo41bo9bo25bobobo112boo14bo33bo5bo10boo10boo17b4o4bo
bo$30bo198bobobboo63booboo44boo72b3o41bo4boobboo29bo114boobo10b4o30bo
4bo12bo9b3o14b5o7boo$229bo3b3o62bobo135bo38boo22boob6o116bo10boobbo33b
o13bo9boboo13boo3bo$224bo6boo64boo136b3o30bo5bo25boobboboo20boo105boo
bbo16bo13b3o13boobo6b5o17bo$224boo5bo65bo3bo133bo3boo28bo4b3o31boo17bo
bo106b3o16bobo5bo21boo8b3o20bo$18boo278bobbo132b4o3bo3boo23bo4boo29bob
oo17boo108bo23booboo23bo4boboo$18boo265boo11b3o134bo5bo3boo25b4o29boob
o146b3obbo3boobbooboo12bob3o$216boo67boo148b4obboo61boobo135boo16boob
oo7bo12bobbo4boo37boo$216boo79bo138bobb3o60bo140boo16b4o3boo16b3o44bob
o$29bo267bo200bo171b3o61boo$28bo265boo200b6o$28b3o263boo131boo67bo7bo
31boo$294bobbo129boo67b3o36bobo102boo25boo$26boo267b3o201bo35boo88boo
14bobo14boo7boo$26boo268bo203bo124boo16bo14boo25bo$498bo5bo132bo3boo
40booboo53boo$498b5o133bo3boo41booboo53bobo$477boo20b3o135b3o8bo34boo
57boo$477boo11b3o155bo36b5o$489booboo50boo101bobo35boo3bo$489boobbo49b
obo102boobbo36bo$491boo50boo88boo12bo5bo$633boo12bo5bo$647bo4bo96boo$
651bo9bo87bobo$485boo161b3o9bobbo86boo$485boo173boobboo$552boo107boobb
o$551bobo92booboo11bobbo$551boo98bo9bobbo$646boo13bobbo$648b3o$661b3o$
666bo$665bobobboo$665bo3b3o$660bo6boo$660boo5bo3$652boo$652boo!

Here are puffers for more obscure objects.

Code: Select all

#C Edge puffers for both orientations of bi-blocks, and some
#C orientations of mangos, mirrored tables, and toads.
#C The third mango puffer is not quite a true edge puffer.
x = 1360, y = 156, rule = B3/S23
50b3o201boo3b4o204bo183bo173b3o199bo223bo$51bo197b3obobbo6bo186b3o8bo
5bo182bobo173bo199bobo221bobo$51bobbo198bobbobb5o185bo3bo6bo7bo180bo3b
o13b3o156bobbo419booboo$51bobbo198bobbo193boo9b4obboo180bo3bo8bo163bo
bbo196bobbo3bob3o212bobbo$52bobo200bo181bo14booboo9b3o180bobob3o4boob
3o161bobo198bo4bo218b3o$23b3o201boo3b4o16bobo168bobo6bobb4o15boo11bobo
154bo25boobobbo5boboo176boo185boboobobo187bo27bobo$24bo197b3obobbo6bo
16bo168bo9bob4o30bo154bobo28bobo8bo176boo186boo3bo187bobo27boo$24bobbo
198bobbobb5o186bobbo6b3o3boo27bo7bo145bo3bo13b3o11boo11bobbo360bo15boo
173booboo26boo$24bobbo38b3o157bobbo41b3o151b3o9bobboo33bobo144bo3bo8bo
31b3o377boo174bobbo$25bobo200bo209boboo33bobbo143bobob3o4boob3o187bo
398b3o$40boo9boo172bobo17boo166bo25bo8boo26boo145boobobbo5boboo36b3o
147bobo397bobo38b3o$40boo184bo18boo166bo34boo177bobo8bo187bo399boo$
413bo199b3o11boo11bobbo5boo192bo382boo12boo$211bo204boo42bo152bobbo23b
3o6boo12bo179bo6boo388boo$24bo183b4o204boo42boo154bo46boo159b4o21bobbo
$23bobo385bo3b3o41bobo22bo128boo47bobo159boo3bo13bo6boo203boo$11boo3b
4o4bo49b3o141boo34bo24b3o130b3o6boo60bobo126bobo210bo4bo11bobo193bo15b
obbo166bo$6b3obobbo6bo19bobo175boo34boo157bo7boo60bobbo126bobb3o208bob
oo11bo195b3o14boo151boobo11bobo$10bobbobb5o190bobo16boo4boo3boo10bobo
156boo29bo40boo128boobbo3boo59b3o142bo15boo184bo6bo3bo165b3obo9b3oboo
47b3o$10bobbo8b4o17bo168bo16bobbobbo6bo169b3o26b3o170bo3bo3boo221bo
184bo3b3obo167bo4bobo8bob3o$12bo9boo3bo10bo3bo167boo18boobobboobbo173b
o26bo173bobo224b3o185bo3b3obo168boo6boboobbo$9bobo11bo4bo9bo4bo166bobb
o16booboobbobbo171bo25boobboo173bo22bo202boo13boo174boo3boobo165bo3bo
bbo4b3o$10bo14boboo11bo168booboo17bobo180bo23bobobo172boo22boboobo193b
3o16bobbo175b3obo6bo163boboo6bobob3o$26bo12boobboo187bo7bobbo168b3o24b
3o50bo145bo4bobo191bo3bo16boo178b3oboobbobo14boo145bobo9boo4bo11boo$
21boo16bobo40b3o154boo46b3o150bo50bobo145bo5bo190bo202booboo3bo14bobbo
144bobo9bobo3bo10bobboo$12boo7boo18boo174boo21b3o177boo69bobbo121bo23b
ooboo35bo156bobboo199bo21boo156b3ob4o10bo4bo$12boo25bobbo174boo196bo4b
oo70boo122boo61b3o9b3o144boo383bo19bo38b3o$b3o35bobo163boo3b4o187bobo
6bobb4o185bo13boo60boobbo143b3o198bo174bo9boo7boo17bobbo$bbo31boo164b
3obobbo6bo24boo8bo150bo9bob4o185bobo17bo55boobboo141b7o195boo173bobo8b
oo26b3o$bbobbo28boo168bobbobb5o24boo7bobo150bobbo6b3o3boo62bo118bo3bo
11bobob3o55boo143b9o3boo29boo157b5o170booboo$bbobbo198bobbo40bobo26b3o
123b3o9bobboo62boboobobo110bo3bo6b5obobobo57b5o138bo7b3obobbo27bobbo
155bo176bobbo29boo42bo$3bobo200bo41bobbo43boo119boboo56b3o3b4o3bo110bo
bob3o4booboo67boo138b3o6b3obobo27boo155boo5bo40boo130b3o28boo41bobo$
90b3o110bobo43bobo23bo5bo13boo120bo64bobbooboo111boobobbo5boboo64bobbo
16bo122boo11boo183b3oboo42bobbo129bobo70booboo$204bo47bo22b7o199bo21b
oo100bobo8bo65boo16bobo124bo195boboboobboo38boo131boo71bobbo$70b3o178b
oo24bo17boo182b3o21bobo99boo11bobbo79bobo124bo195bobbobboo172boo73b3o
8b3o$70b3o14boo162bo13boo10bo3bo13boo182b3o22bobo111b3o81boo98b5o7bo
14bo173b3o20boo251bobo$bbo66bo3bo7bobo4boo175boo9bo228bo294boo5boo4bob
o186bo25boobo248boo$bobo66boob3o5bobbobb3o187bo522bo7bo4bo60boo125bo4b
oo23bo248boo20bo$bbo67boo4bo4bobob6o187bo4bo140bo375boo7bo3bobbo56bobb
o123bo3bo15b3o179bo99boo$73bobbo9bobboo158bo28bo4bo19boo119boo275boo
99boo6bo3b3o8boo47boo124bobbo4bo4boo64boo122bo91bo6boo$74boo11b3o6boob
oo135bo11bobo26boobobo20boo320boo74boo6bo95bo22bo171bo3bo3bo4b3obo60bo
bbo121boo89bobo6bo$4o84bo7booboo131b5o8bobobbo25bobo187bo44boo112boo
81bobo94bo4bo190boobob3o70boo121b3o$oo3bo11boo44bo156b3o9bo3bobo4bo3bo
bbo26bo25boo111bo49bo44bobo195bobo94boobo14bobbo176bo$bo4bo12bo41boob
oo143b3o7bo3bo8b3o3b3o5bo3bo22boo28boo111booboobo43bo45bobo147bo47boo
113bo179b4o$3boboo8bobob3o39booboo138boo3b4o7b4o14boobboobboo25boo131b
oo9b3oboobo44boo42bo147b3o343boo11boboo179b3o11bo$4bo10bobboo41boo140b
oo3bo4bo9bo14bo7bo4bo154boo5b3o8bo44boo189booboo217boo136bobbo177bo4bo
8booboo90bo$14bo3boo43boobo141booboo11boo9b3o9boob3o161bob4obo42bo3b3o
136boo9bo3b3o34boo3bo157bo58bobbo135b3o178boo3bo10bo81bo10boo$16b3o16b
3o26bobbo140b4o12boo9boo12b3oboo9b4obo41boo104b4o17b3o24b3o139boo8bobb
o3bo35bobobobo42boo110boo59boo203boo114b4o11bo80bo10boo$34bo3bo25bobbo
36booboo100bo14bo22bo4bo11boboo43boo153bo154boboo9b3o24boobobbo41boo6b
o102boboo262bobbo127boo41bo50bo$33bo3boo26boo37booboo137boo18boboo172b
oo21boo52boo97bo3bo10bo3bo26boobo48bobo100boobbo263boo127bobbo39b3o$
34bo192bo9boo7boo17boo44boo131bo10b3o7b3o51bobo98b3o9bo4bo8boo3b3o11b
oo50bobo100boobo53bo339boo39bo$35b4o47bo139bobo8boo27boo43boo125b4obo
11bo11bo38bo13bobo109bobbobo7b4o69boo99b3o54b3o380booboo$6boo29boboo
45boo123boo13bobo185boo22b5o22bo17b3o19bobo13bo110boobobo6bo3boo160bob
o14bo47boobbo194b3o183b3oboo$6boo29bobbo44bobo123boo13bobbo29boo153boo
8bo42bo17bo19bobo126boobobbo4boobobo153boo4b3obobo8boo47boobboo10boo
181bo3bo154b3o27b4o52bo$38boo12boo173bobo29boo163bo30bobbo6b3o16bo20bo
bbo106boo7b3o9boobbo163boo6bobboo9boo47boo12bobbo179bo3boo128boo24b3o
14boo67boo$52boo176bo88boo105bo5bo5bobo14boboo47bobo106boo7bobo10b3o
13bo6boo31b3o21boo157b5o9boo117boo62bo22bo109boo23bo3bo7bobo4boo46bo
19boo$112booboo112boo88boo104bo6bobo3bobo14bobbo50bo113bo3bo22bobbo6b
oo12boo21bo19boo6bo154boo127boo63b4o17bobo134boob3o5bobbobb3o46bo20bo$
112booboo112bo194bo3bobbo7bo15bobo5boo43boo17boo94bo3bo23b3o21boo20boo
13bo11bobo151bobbo194boboo15bobo134boo4bo4bobob6o47bo5bo$36boo281boo
104bobboboboo4bobo14b3o5boo43bo17bobbo93bo50bo22bobbo11bo12bobo151boo
16boo177bobbo16bo138bobbo9bobboo46bo6bobo$22bo13boo281boo109boboo5boo
86bobbo92bo4boo68bobo11bo13boo168bobbo147b3o27boo144bo12boo11b3o6boo
38bo3bobbo$18boobobo12bobo400bo88boo93bo6bo67bo196bobbo149bo172booboo
24bo7boo39bobboboboo$18bobbooboo10boo189bo396bo5bobboo62boo14bo98boo
82boo150bobbo172boo45b3o30boboo18bo$18bo5bobobo7b3o187bobo395boo7boo
61bobo13bobo97boo234bobbo169b3o49bo44boo6boo$19boobbo4bobb3obobboo188b
o98boo107boo245bo14boo11bo8boo295boo30bobo52bo118bo3bo44bo45boo6boo$
23bobboo4boobbo16bo66booboo103bo98boo98boo7boo188bobbo20bo3bo27bobo10b
oo14bobbo5boo11bo283boo45boo37bobo116bo3bo100bo$23b3o9bo4boo10bobbo64b
ooboo103bo198boo25boo79boo90bo21bo5bo25booboo11bo12boobo18bobo329boo
37bobo117b3obo3boo$36bo4bo285boo124bo80bobbo111bo6bo24booboo23b3o21bob
o169boo197bo120boo4boo$35bo5bo11bobbo172bo11bobo83boo124boo80bobbo110b
o3bobbo23b3o27booboo19boo122bo45bobbo316bobo$34b3o3bo13bobo168boob3o
10bobbo209boo80boo89bo22b3oboo24b3o3bo12boo9bobboo113bo28bobo43bobbo
141bo176bo$13b3o8boo9bo16bobboo170b3oboo8bobo172b3o36bobbo167bo53b3o4b
o11boo10b3o113bobo26bo3bo43boo141bobo174boo22b3obbo40bo39bo$12bo3bo7b
oo26bobo175bo225bobbo27b3o122b3o11b3o3bo48boo5bo23bo114bobboo24bo3bo
174boo3b4o4bo199bobobobo25boo7boobbobo30boo6boo$11bo3boo35b3o187boo
176boo36bo27bo3bo120bo3bo8boo4b4o47b3o141b7o14bo9bobob3o167b3obobbo6bo
19bobo45bo135booboobo25b3o6b4o3bo29boo6boo$12bo33boo80booboo109boo178b
o34bo29boo121bo4bo7b4o7bo47boo57bo82bobbo3bo14bo10boobobbo170bobbobb5o
66bobo136boboo26boobobo7bo41bo$13b4o29boo80booboo109boo172b4obo67boob
oo49boo65bobbobo6bob3o3b4o49boo55bobo80b3obb7o11bo14bobo170bobbo8b4o
17bo43bobo110b3o56boo10boboo$15boboo397b5o40bo29boo49bobbo64boobobo6bo
5boo68boo41bobo75bo5b3obbo8bo21boo50boo121bo9boo3bo10bo3bo45bo109bo4bo
bo65bobo$15bobbo411bo29b3o14boo64bobbo65boobobbo4bobb3o113boo75bo6boob
oo8bo72bobbo117bobo11bo4bo9bo4bo142b3o18bo64bo26bo$16boo411bobo27bo10b
obbo4bo65boo68boobbo7bobbo53bo14b3o118bo7b3obobbo76bobbo119bo14boboo
11bo145b3o8bobbobo3bo91boo$231boo183bobo10bobboo26booboo6b3obbobbo135b
3o13bo50b3o13bobo119boo6b3oboo13boo5boo13b3o40boo136bo12boobboo41bo98b
o3bo6bobbobbobobo111bo$231boo183bobo11bobbo27b3oboo5boobbobbo148bobbo
49bo3bo134b3o8bo13boobo5boo15bo173boo16bobo43b3o98boob3o5bobbobb3o89bo
bbo19boo$417bo13b3o29b4o9bobbo149b3o53boo13bo119boo22bo3bo21bo165boo7b
oo18boo41b3obo7bo89boo4bo4bobob6o88bobbo19boo$15bo120booboo275bobo32bo
25b3o6boo196boo13boo48bo94bobboo187boo25bobbo40bo3bo7bobo91bobbo9bobb
oo83bo4b3o21bo$15bo120booboo276boo31bobo33boo63boo146boo47bobo94b3o
177b3o35bobo40boobbobbo5bobo92boo11b3o85bo$14bobo400bo11b3o17booboo45b
oo49bobbo195bobo94bo74boo103bo31boo45b3obb4o6bo107bo84boboo$15bo413bob
o17boo49boo49bobbo81boo60boo36bo13boo75boo91bobbo102bobbo28boo47bo3bo
bbo198bo3bo$15boo415bobo20boo42bo52boo82boo60b3o34bobo80boo7boo90bobbo
103bobbo77bo6bo194boobo$15b3o11bo398bo6bo3boo8b3obbo241b3o36bobo80boo
100boo105bobo45bo3boobboobo22bobbo191boo4boobbobbo32bo$28bobo401boboo
3boo12boboobboo235bo38bobbo111bo224bo3boo4boboo22booboo177bo10bo11bo
33boo$13bo4boo7bo3bo397bob3obbo14bobbo4boo275bobo111boo223bo3boobboob
oo23bo13booboo104boo49boo6bo5bo3bobbo43boo$13bo5bo8bobbo397boob5o17bo
179boo51boo6b3o41bo17bo91boboo226boo45bobo105boo49boo12bobbo3boo43bo$
13bo5bo8bo405bo17boo23bo81boo57boo13b3o51boo6bo42boo16bobo90b3o225bobb
o45bobo169bobo4bob3o$18bo10bobo445bo3bo76bobbo56boo12bo3bo58b3o40bo17b
obbo46bo40boobo78boo95bo50bobo17boo26booboo171boobobboo$28bobbo389boo
29bo23bobobobo76bobbo68b5o121bobo45bobo12boo26boo78bobbo93bobo50bo18b
oo208boo$29boo390boo29bo24boboobo77boo69bo126bo46bobboo10boo5bo99bobbo
95bo201bo78boo$477bo3bo149b3o169b7o17bo100boo129boobbo152boo9bo3boo74b
o50bo$453bo178boo168bobbo3bo11bo6boo232bobo151boo9boo3boo124boo$450bob
3obbobo341b3obb7o8boo4boo195b4o33bo71booboo89b3obbo60boo63boo$18boo
419bo10boobob3obo235boo68bo37b3obbo13bo4bo196boo3bo11boo27boo62bobo91b
oboo61boo64bo$18boo418b3o8boo3booboo167boo67boo67bobo37booboo10boo204b
o4bo12bo19boo5boo19bo13b3o26bobo92boo$437bo10bobbo4bo169boo136bobbo37b
3obobbo6bobo115boo88boboo8bobob3o36boo4boo3boo12bo25booboo$438booboo6b
3obbobbo307bobo38b3oboo8b3obbo110bobbo88bo10bobboo20boo15bobbo3bo5bo
11bo$439b3oboo5boobbobbo308bo42bo16bo108bobbo99bo3boo19bo18bobbobboo3b
o$441b4o9bobbo367boo109boo102b3o18booboo17bobo4bob3o129boo$455b3o259b
3o103boboo237boo17b3o7boo129boo$716bo3bo102b3o236bo27boboboo16bo28boob
oo$717boo54bo50bo266boobo16bobo28bobo$719booboo48bobo55boo237boo22boo
15booboo27bobo$691bo29boo49bobbo54boo198boo37boo39boo16boo11booboo$
690b3o14boo64bobo254boo21bo3boobboobo51boo9bobbo$462boo225bo10bobbo4bo
65bo278bo3boo4boboo24boo17b3obbo12bobbo$462boo226booboo6b3obbobbo118bo
224bo3boobbooboo25boo21boboo$691b3oboo5boobbobbo117bobo227boo53bobbo$
693b4o9bobbo102boo241bobbo56bo11bo21booboo$681bo25b3o6boo94boo241bobo
55boo11boo3bo18bobo$456boo222bobo33boo108bo3bo225bo70bo3boo17bobo$444b
oo9bo3boo218booboo45boo93bo4bo283bo13boboboo3boo11booboo$444boo9bo4bo
218boo49boo92bo286booboo11bo3boo3boo$456bo3bo224boo42bo94boo288bo13b3o
$456boboo219b3obbo426bo16b3o$457bo225boboobboo406boo14bo$681bobbo4boo
129boo274bo31bo28booboo$684bo135boo274bobbo28boo28bobo$682boo23bo386b
oob4o26boobo27bobo$452boo253bo3bo360boo19bo36boo25booboo$452boo228bo
23bobobobo358boboo18bo3b3obbo23bobo3bo$682bo24boboobo343boobb5o6bobboo
17bobbobbob3o22b7o$707bo3bo344bo7bo11bo18boo4b3o23bobo3boo$683bo372bo
4boboo13bo18boobobo29b3o$680bob3obbobo370b3o12bobo20boobo32bo30booboo$
669bo10boobob3obo386bo24bo26bo4bo32bobo$668b3o8boo3booboo439bo4bo32bob
o$667bo10bobbo4bo442b3o33booboo$668booboo6b3obbobbo$669b3oboo5boobbobb
o375boo57bobo3bo$671b4o9bobbo375boo56bobbooboboo$685b3o434bobobobbo$
1126bobbo$1125boobbo$1123b4obbo$1127boo$1103boo$692boo409boo11bobo$
692boo422bobbo$1116bobbo$1117boo$$686boo$674boo9bo3boo$674boo9bo4bo
420boo$686bo3bo420boo$686boboo$687bo4$682boo$682boo!

None of these remaining puffers are true edge puffers. The beacon and eater puffers are not very close to the edge, but I include them for completeness.

Code: Select all

#C Not quite true edge puffers for tubs, barges, bi-loafs, boat-ties,
#C beacons, and eaters.
x = 1124, y = 173, rule = B3/S23
27bo199bo205bo193b3o192b3o210b3o$26bobo193bobbobobbo3bo197bobo5bo195bo
185bobo211bo$26bobo193bo4boob5o203booboo186boo5b3o183b3o211bobbo$26bo
bbo192bo3bo4bobo198b3obbo3boo186b4o4bo200boo196bobbo$27bobo408booboo
186boob3oboo199bobboo195bobo$30bo193b3o211b4o192bobo187boo11booboo210b
oo$29boo194bo18boo206boo194boo172booboo14bo210boo$29bo13boo199boo206b
oo194boo172boobboo10boo$43boo776boo3boo11bo7boo$822boobboo18bobbo186bo
$823bobo21boo186bobo$27bo1008bo$26bobo1024bo$28bo1024bo6boo$28bo223boo
171bo34boo194boo181b3o192b4o22boo$28bo22boo175boo21bobbo169bobo33boo
176boo15bobbo177b3obo193boo3bo13bo$50bobbo198boo169booboo213bo14boo
179booboo13boo178bo4bo11bobo$29bo21boo173bobbo193booboo7bo195bo4boo3bo
195booboo12bobbo179boboo11bo$25boob3o13bobo375b3o10bo195bo3b3oboo198bo
15boo167bobo11bo12booboo$27b3oboo11bobo179boo9b3o5bo176b3o3bo6bo3bo
191bobboo4bo383b3o24boobo$30bo16bo189bobo4b3o175b3o4bo8bobo194b4o3boo
380boo27bo$47bo188bobbo3boobbo175boo5bo8bo196boo6bo3bo391boo10bo15boo$
40boobooboo212boo139b3o19b3o42boo167boo6bobobo14boo158bo215boo7bobbo
15boo$39b4obo14boo198bobbo138bobo20boo42boo174bo3bo14bobbo157bo202bo
22boo$38b3oboo14bobbo198boo138bo3bo20boo215boo20boo160bo5bo30boo160bob
o$37boo20boo339bo3bo237bo182bo6bobo27bobbo137bo21b3o$36b3o186bo174bo
17boo207bo196bo3bobbo31boo135b4o24bo24boo$37boo185b3o173bo4boo11boo4bo
201bobo196bobboboboo190b5o24boo$223booboo172bo6bo15bobo200bobboo199bob
oo183b3o$224b3o174bo5bo14b4o198b7o445boo$225bo42boo131boo18boobo51boo
145bobbo3bo41boo126b3o200bobo12boo56boo$23bobo10boo29boo156bobo39bobbo
132bo3bo13booboo50boo144b3obb7o37bobbo134bo194bo13boo$22bo12bobbo27bo
bbo155b4o39boo134bobo10boo3boo200b3obbo42boo128boo5b3o59boo129boo13bo
bbo$23bobbo12bo27boo133bo25bo189bo185boo19booboo172b4o4bo59bobbo128bo
bbo11bo$25b3o6bo4bo161bobo213b3o183bo22b3obobbo168boob3oboo60boo128boo
boo10b3o$35b4o161bo3bo19booboo172b3o199bobbo20b3oboo174bobo206boo$201b
obo19bo5bo170bo3bo13bo182boob4o22bo190boo196boo$14bo187bo14b3o4bo3bo
172bobbo14bo180bo20b3o197boo195bobbo62boo$oo7boobbobo200bo3bo4bo50boo
125boo13boo64boo114bo3b3obbo70boo402boo$3o6b4o3bo58boo125b4o10b3obbo
53bobbo139bo52bo12boo114bobbobbob3o3bobo62bobbo147boo184boo$oobobo7bo
60bobbo123bo4bo9bo3bo55boo192bobo129boo4b3o4bo64boo139bo10bo46boo135bo
bbo26bo$3boo10boboo56boo126bo13b3o195bobbo185boobobo209b3o3bo4boo46bo
bbo135b3o25bobo25bo$15bobo182bo3bobbo9boo198b4o21boo26bobbo3bob3o123b
oobo14bo195boo4boo52boo163booboo23bobo$16bo183bob3obo207bo30boo4bo20bo
4bo130bo12b4o194boobbo3bo217bobbo22bo3bo$201b3obo209boobboo21boob4o3bo
20boboobobo139bo3bo196bob4o220b3o22bobo$439b5o4b4o22boo3bo9boo129bobbo
187boo10b3o180boo39bobo23bo$284boo120boo7boo25b3o6bo23bo12bobbo129b3o
64boo124bo191boo40boo$83boo134bo63bobbo119boo6boo27bo45bobo195bobbo
113bo4boo4boo54bo176boo12boo9b4o$22bo59bobbo130b5o63boo129boobbo22b3o
45boboo194boo114bo3boo6bo53b3o189boo8bo4bo10boo$20b5o58boo130bo233bo
12boo27bobbo309bobb3obboobbo53bobbo200bo13bobo$25bo423bo12boo19boo7bob
o317boobo9b3o42b3o198bo3bobbo11bo$216bo3bo204bobo55boo8bo331bo44b3o
173bo24bob3obo12boo$23b3o191b3o48b3o153bo255bo141boboo43boboobo155boob
o11bobo24b3obo$20bo246bo25boo130bobbo68boo180b3o14bo119boo4b3o45bobb3o
138boo13b3obo9b3oboo$14b3o4boo50boo17boo112boo58bo4boo19bobbo118boo11b
obo66bobbo110boo37bo29bobbo12bobo125bo19b3o24b4oboo137boo12bo4bobo8bob
3o$5boo5bo4bo8bo49boo4bo8bobbo111boo57bo3bo15b3o5bobo118boo14bo4boo60b
obo110boo37bo7bo21b3o12bobbo173bob3o13boo138boo6boboobbo26boo$5boo6boo
bbo8bobo44boob4o3bo8bobo170bobbo4bo4boo14bo134b3o3boo18boo13bo27boboo
147bo5b3o21b3o13boo112boo8bo24bo15boo11b3o13boo139bo3bobbo4b3o25boo24b
oo$13bo12boo42b5o4b4o10bo171bo3bo3bo4b3obo146bo16boo7b3o12boo27bobbo
145boo3bobo22boboobo125boo5bobbo24boob3o10boo12boo11boo144boboo6bobob
3o46bobo$73b3o6bo183boobob3o153boo19bo5bobbo11bobo28bobo151bobbo21bobb
3o133boo23bob4o11boo25boo143bobo9boo4bo11boo34bo$74bo167bo26bo159bo13b
o5bo5boobo42bo151bobboo21b4oboo133bo23bob3o184bobo9bobo3bo10bobboo32b
oo$54bo18b3o165b3o14boo10b4o153bobbo12bo6bo4bobboo208boo10bob3o136bo
22b3o15bo180b3ob4o10bo4bo$46b3o3b4o24bo159bo10bobbo4bo12boo11boboo12b
oo124bobo16boobo6bobboo44boo161boo12b3o19bo114b3o23bo14boobbo180bo19bo
$46bobo3booboo23bo19boo112boo25booboo6b3obbobbo24bobbo11bobbo123bo28b
ooboo43bobbo110boo63boo18bobo114bo8b3o6bo20bo4bo159bo9boo7boo17bobbo$
13boo31b3obbo47bobbo111boo26b3oboo5boobbobbo24b3o13bobo139bo14bo46bobo
110boo82bobbo124boo3boobo19bo38boo124bobo8boo26b3o$13boo36boo3bo43bobo
141b4o9bobbo41bo117boo12boo11bo58boboo122bo46b3o21boo124boo5bobo3boob
oo15boo33boo123booboo77boo$52b4o45bo130bo25b3o6boo154boo4bo4boo9bobo
59bobbo120bobo46boo152b3obo3booboo12booboo31boo126bobbo29boo46bobo$53b
3o10boo163bobo33boo151boob4o3bo77bobo119bo3bo6boo38boo154boo4boboo14bo
33boo128b3o28boo48bo$66boo162booboo45boo135b5o4b4o26boo51bo120bo3bo6b
oo6bo32bo161boo179bobo78boo$230boo49boo137b3o6bo26boo172bobob3o11bobb
oo373boo$29b3o204boo42bo28boo110bo91boo116boobobbo10bobbo60bo313boo$
28bo79boo120b3obbo72bobbo108b3o89bobbo119bobo11bobobo7boo10boo36bobo
127boo$27bo4boo73bobbo123boboobboo67bobo115bo85bobo119boo15bobo7b3o9b
oo34bobbo118boo7boo62boo$26bo3bo8boo6boo59bobo121bobbo4boo68bo116bo86b
oboo135boo9bo8bo37boo119boo25bo45boo205boo$26bobbo4bo4boo6bobbo58bo
125bo279bobbo140b3oboo193bobo42boo119bo87bobo$26bo3bo3bo11bo3bo182boo
23bo257bobo141b3o194booboo41boo120bo88bo$27boobob3o11bo13boo10boo184bo
3bo254bo122boo10boo7boo195bo166boo87boo$30bo16b4o8boobo10boo158bo23bob
obobo363bo12boo10boo167b3o35b5o160b3o$31b4o14bobbo6boobo9bo160bo24bob
oobo53boo202boo104bo7bo84bo139bo3bo$33boo15b3o4b3obboo52boo140bo3bo53b
obbo200bobbo103bo5b3o26boo55bobo100bo39bobo$51bo5bobo44bo10bobbo115bo
69bo12bobo201bobo102boo3bobo28boo54bobbo100boob3o85boo110b3o11bo$57boo
44bobo10bobo112bob3obbobo58bobbobobbo3bo6bo203boboo106bobbo70bo12boo
100bob4o86boo108bo4bo8booboo78boo$38boo10boo51bobo11bo102bo10boobob3ob
o58bo4boob5o211bobbo104bobboo69bobo17bo95bob3o85boo110boo3bo10bo80bobo
$32bo5boo10boo51bobbo112b3o8boo3booboo59bo3bo4bobo12bo112boo86bobo177b
ooboo15bobo95b3o10boo74boo112b4o11bo81bo$24b3o3b4o70bobo15bo95bo10bobb
o4bo84bobo97boboobo9boboboo82bo178boo18boo97bo10bo3bo200boo81boo$24bob
o3booboo25boo45bo13bobo95booboo6b3obbobbo62b3o19bo97bo4b3o9boo3bo266b
oo10boo110bo3bo199bobbo$24b3obbo30boo44boo14bo97b3oboo5boobbobbo63bo
119bo5bo10b3obo260b3obbo11bobo111bo3bo199boo$29boo3bo71bo115b4o9bobbo
184bo3bo13boo265boboo10bo97booboo11b3o$30b4o202b3o185bobo279bobbo110b
ooboo12boo82boo$31b3o675bo111boboo10boo84boo$707boo24bo88boo10boboo81b
oo107boo$331bo400bobo101boo81boo107boo$130bo199bobo95boo277bo24boo$
129bobo155b3o41bo96boo205boo3boo63booboo20boo107b3obboo$130bo112boo
384bo3b4o3bobo51bo7bo5bo20bobo107bobobboo$243boo46bo337boboobbobbo3bo
5bo41b5o7bo27bo103bobo4boo$287bo3boo336boboo4bo3boo4bobo40bo3bobo4bo3b
obo126boo4bo88boo$261bo27bobo341bo3bo9bobo40b3o3b3o3b3o224boo$39bo221b
o24b3o349bo9bo47boobb3o38bo185boo$28boo9b3o43b3o149boo22bo26bo50bo336b
o19bo43bobo83boo99boo$27bobobo7b3o42bo3bo49bo86boo9bo3boo22boo72bobo
318b3o8bo5bo16b3o44boo84boo$27bo3boo5bo3bo3bo38boo50bobo85boo9bo4bo22b
oo12boo7boo50bo303bobo12bo3bo6bo7bo15boo43boo$28boo8b4o3bobo39booboo
46bo98bo3bo17bo3b3o11boo9boo354boo13boo9b4obboo59bobo$28b3o7boboo3bobo
11bo29boo146boboo19b3o15bo9bo16boo327boo8boo15booboo9b3o60bo$46bo11b3o
14boo161bo22bo15b3o8boo16boo21bo304boo27boo11bobo$57bo10bobbo4bo168b3o
12boo15b3o7boo16bo22bobo346bo7boo$58booboo6b3obbobbo176bo5b3o16bo47boo
boo317b3o25bo7boo62bo$59b3oboo5boobbobbo169boo5b3o5bo14bobbo46booboo
317bobo46boo48bobo$61b4o9bobbo68bo86boo12b4o4bo4bo16b3o5boo39b3o320bob
o45bobo48boo$32boo15bo25b3o6boo59bobo85boo12boob3oboo6bo15bo6boo39b3o
3bo16bo299bo4boo43bo46boo$32boo14bobo33boo60bo105bobo5b3o63b3o4bo14bob
o297b3o3boo89bobo$47booboo45boo228boo5bo12bobo304bo3boo86bo$47boo49boo
227b3o18bo301b4o4boo$53boo42bo230boo321boo$47b3obbo205boo69boo320bo
105bo$51boboobboo190boo7boo415b3o78bobo$49bobbo4boo95bo94boo25boo374bo
26b3o74boo$52bo100bobo119bobbo78bo292bobo22bobob3o72boo$50boo23bo78bo
121bo79bobo317bo76bobo$75bo3bo159bo36boo37b3o37bobo291bo104bo$50bo23bo
bobobo158bo39boo32b7o36bo294b3o3boo$50bo24boboobo158bo38b3o31b9o328boo
bobob3o$75bo3bo162boo36bo30bo7b3o315b3o8bo5bo110bo$51bo190boo34boo32b
3o6bo314bo3bo6bo7bo108bobo$48bob3obbobo104bo74bo3b3o53bobo13boo322boo
9b4obboo108boo$37bo10boobob3obo103bobo74b3o42bobo7bobbobbo16bo48bo273b
ooboo9b3o106boo$36b3o8boo3booboo105bo76bo42booboo5boboboobo17bo46bobo
274boo11bobo104bobo$35bo10bobbo4bo183boo11b3o29boboo6bo24bo44bobo289bo
106bo$36booboo6b3obbobbo182b3o10boobo32bo11b3o62bo290bo$37b3oboo5boobb
obbo184bo13boo30bo13boo$39b4o9bobbo182bo14boo31bo12boo7boo$53b3o184bo
31b3o33boo$238b3o$252bo20bo46b3o50bo287boo$251b3o19boob3o43bo49bobo
286boo$251bo3boo15bob4o43bo49bobo$250b4o3bo3boo9bob3o4boo89bo$60boo
189bo5bo3boo10b3o5boo$60boo189b4obboo15bo26bo353boo$252bobb3o43boo340b
oo10bobbo$299b4o340boo10b5o$271booboo23boboboo76bo273boobbo$54boo187b
oo26booboo22bo4bo76bobo274bo$42boo9bo3boo184boo27boboo23bo3bo75bobo
273bobo$42boo9bo4bo214boo105bo$54bo3bo215boo4boo$54boboo217bobobboo$
55bo205bobo7bobbobbo373boo$260booboo5boboboobo373boo$261boboo6bo$265bo
11b3o$50boo212bo13boo$50boo212bo12boo6$284boo$284boo4$277boboo$266boo
10bo4bo$266boo11b3o$276bo4boo$276bobobo$278bo4$274boo$274boo!

All of these edge puffers can easily be converted into trigger-able edge puffers. This is done by separating the stages enough to allow a stream of sideways gliders from a period 96 take to delete the puffer output. Then if one of the gliders in the stream is deleted, the edge puffer will produce one instance of its output.

Here is a demonstration of the method.

Code: Select all

#C A diagonal c/12 period 384 edge ship puffer.
#C This uses a p96 edge ship puffer whose output is suppressed by the
#C gliders from a period 96 sideways rake, and a period 384 sideways
#C rake whose output deletes some of those gliders using an 
#C inline-inverter reaction.
x = 429, y = 212, rule = B3/S23
249bo$248b3o$247booboo$246boobobo$245b3obb3o$246bo6bo$247b5obo$248b4ob
oo$253bo$252bo12boo$265boo3$250bo$248boobo$$251bo$248bobbo21boo$249bo
22bobbo$273boo$254boo$247b3o5boo$254boo$254bo13boo$259bo5bo$259bo4bobo
14boo$258bobo4bo14bobbo$281boo5$245bo$244b3o42boo$243bo44bobbo$244boob
oo40boo$245b3oboo$247b4o$191b5o7bo$189boo5boo4bobo33bo$189bo7bo4bo18b
3o8bo5bo$189boo7bo3bobbo14bo3bo6bo7bo57boo$191boo6bo3b3o15boo9b4obboo
56bobbo$194bo28booboo9b3o57boo$194bo4bo13boo10boo11bobo$178bo16boobo
14boo24bo$177b3o59bo$176bobobo$175b3ob3o$$177bob3o4boo$177b5o4boo59boo
$177boobboo26boo33boobbo$179boboo23bob3o38bo$181boo21bobbo35bo4bo$177b
obobbo21b3o36bo$176bobobbo22b3o41bo$177bo49boo16bo$227boo19bo$185boo
21bo$169b5o7bo3boo21bo37b3o$167boo5boo4bobo$167bo7bo4bo118bo$167boo7bo
3bobbo114bobo$57boo110boo6bo3b3o113bo3bo$56bo115bo62boo61bobo$56bobbo
112bo4bo57boo62bo14b3o$54boob4o112boobo136bo3bo$53bo20b3o192boobbo25b
4o10booboo$53bo3b3obbo209bobo23bo4bo12bo$53bobbobbob3o3bobo201bo16bo
11bo14bo$55boo4b3o4bo219bo8bo3bobbo7bo$57boobobo198bo11boo13bo8bob3obo
7bo4bo13boo$58boobo14bo6boo104bo69booboo34b3obo8bo4bo12bobbo$61bo12b4o
5boo102b3o69booboo10boo12boo21bo3boo13bobo$46bo26bo3bo108boobo56bo12b
oo12bo13bobbo21bobbo15bo$45bobo25bobbo108boboo57boo13boobo6booboo11bob
o6boo14b4o$44booboo25b3o100bobo5bo59bobo14bobbo8boo10boo8boo15bo$44boo
16boo107boo4b3obobobob3o72bobbo6bo13bo27boo$50boo9bobbo106boo6bobb3ob
4o73boo24boo$44b3obbo12bobbo122boo99boo$48boboo237boo$46bobbo219boo15b
oobo$49bo11bo198boo7boo16b3o$47boo11boo3bo194boo26bo37bo$61bo3boo226bo
32bo$47bo13boboboo112boo112bobo30bo$45booboo11bo3boo24bo87boo114boo30b
oo$48bo13b3o26bo235b3o$45bo16b3o102b3o6bo112boo36boo$47bo120boo3boobo
70boobbo10boo24bobbo7bo$167boo5bobo37bo35bobo9boo25boo6booboo$172b3obo
37boo33bo12boo$61bo113boo36bobo47boo35boo$60b3o188boo12bo3boo30bo24bo$
63bo198boobbobboo24bo3bo15boo10bo$60booboo187boo11boo32bo3bo11boo9bo$
59booboo187bo$50boo7booboo185booboo$50boo8bobbo188boo30boo11bo$61b3o
186bo15bo20boo4bo4b3o$61boo205bo15boob4o3bo$263bo4bo12b5o4b4o22bo$153b
obo107bo4boo14b3o6bo4b3o13bobo$153b3o109bobbo3boo11bo12b3o13bobo45boo$
153boo110b3o4boo10b3o11booboo12bo46bobo$58boo206bo24bo10bo12b3o45boo$
58boo122bo108bo8b3o12bobo$156bo16bo8boo$154bobo14boo8bobo112boo16boboo
$154b3o15boo80boo31boo7boo15bobbo$157bo96boo31boo$68boo83b5o119bo32bo
bbo$68bobo204booboo30b7o$69bo195bo44b3obboo$264bo13boo$264b3o12bo$273b
o3bo$262boo13bo3bo$262boo$$275bo$49bo226b3o$49bo7bo102b3o$49bo5b3o$48b
oo3bobo220b3o$54bobbo218b3o$53bobboo218booboo11bo$68boo77b3o130bo11boo
$68boo79bo128b3o11b3o$148bo142b3o$289bobbo$289bo$291bo$290bo$44bo$30bo
bo6bobb4o30boo316boo$29bo9bob4o31boo203boo111bobo$30bobbo6b3o3boo233b
oo112boo$32b3o9bobboo$45boboo$46bo25boo$72boo$72boo$100boo$68boobbo27b
obo$69b3o29bo$65boo3bo$65boo$62b3obo$59booboo$54boo3b3o$53boo$35boo16b
ob3o$35boo11b3o4bo$49booboobo3bo$51bo$56bobbo$56bo$57boo$83b3o$24boo
17boo40bo$25bobbo4bo9boo39bo$22bobb3obobbobo$22bobbo4b4o$22bobbo$25bo
6bo$24boobo$32bo11boo380boo$30boo12boo380bobo$7boo418boo$7b3o$7boobo
40boo$11bo38boo$3bo3boo3bo4boo33bo$13bo3boo19bo$10bobo15bo8boo$10bo17b
oo6bobbo$5bo4bobo11bobbooboo5boo$25b3ob3o7boo$9b4o13bo3boo6booboo$9boo
14b3o11bobo$25b3o12bo$bboo12boo9b3o$3bobbo4bo4boo10boo$obb3obobbobo$o
bbo4b4o26boo$obbo34boo$3bo6bo$bboobo$10bo$8boo9$19bo$19bo$3bobbo12bobo
boo$4b3ob3o9boobobo$4boobobo12boobo$6b3o15bo$7boo4$10boo$10boo!

EDIT: Fixed a typo which corrupted the list of patterns.

BCNU,
-dbell

[dbell]

I haven't figured out how to convert binary information stored in a loop like that, into any kind of universal construction arm.

You inspired me to make a mechanism to use Corderships to create single-channel constructions.

Code: Select all

#C A Cordership single-channel construction convoy.
#C This demonstrates a method which allows a Cordership fleet
#C to generate a desired sequence of backward single and glider
#C pairs on one lane to make single-channel constructions possible.
#C This example implements seven different glider pair separations
#C and one singleton glider.  The mechanism could be expanded to
#C allow for more glider pair separations.  The output sequence is
#C determined by the gliders within a glider loop at the top of
#C the convoy.  The loop shown here has period 3072 and therefore
#C has 32 slots where gliders may or may not be present.  Every
#C eight slots correspond to the eight outputs, but usually only
#C one of those eight slots can contain a glider.  This means that
#C four different glider pairs can be programmed by the loop, as
#C shown by this example.  The glider loop can be made larger to
#C program an arbitrary sequence of the eight glider pairs.
#C The timings within the glider pairs is adjustable, but only a
#C couple of them have been changed for use by this example.
#C David I. Bell, 31 August 2025
x = 6198, y = 6543, rule = B3/S23
466bo$465b3o$464b3obo14bo$463boo3boo6bobbo3bo$462boobobboo6bo3bobbo$
463booboboo5bo$464b3oboo6boboo$466bo4bo$467b4o20boo$469bo12boboo5boo$
482b3o$453b3o27bo$$454bo15boo$454boob3o10boo$453bob4o11boo$453bob3o$
454b3o15bo$455bo14boobbo$469bo4bo19b3o$468bo25b4o$452booboo15boo22b4o$
452booboo12booboo24boo$453boboo14bo27bo$454boo4$469bo$468b4o$468b4o3$
458boo8b4o$458boo9b3o$470bo6$466boo$466boo31$423bo$423boo$422bobo$319b
o$$323bo$$315b3obo$315b3obo$316bo8boo$317bo3b3oboo$318bo6bo$319bobobob
o$320bo15boo$336boo6$304bo$300b4oboo5b3o29boo$299boob3oboo4b3o29boo$
300bob3obo7boo$301bo3b4o4boo$304boob3o27bobo$305b5o27bobbo$306bo29bo3b
o$337bobbo$337b3o$$330bo$329bobo$331boo$328booboob3o$321boo6bobboo$
311boboo6boo5b3o6bo$308boo7b4obo5bo$303boo5boo6b5o12boo$303boo7bobobo
4bo$317b3oboobboo$317bo5boobo$319bo3boo$326bo$325bo$323bobo$311boo$
311boo20$331bo$330boo$330bobo21$654b3o$653bo$652bo4boo$651bo3bo15b3o$
651bobbo4bo4boo$651bo3bo3bo4b3obo$645bo6boobob3o$643booboo7bo$656b4o
20boo$646boo10boo11boboo5boo$647bo23bobbo$641bo3bo25b3o$645bo3bo$$653b
oo$643bobbo6boo$644boo$$668bobo4boo$668bo3boobbo$668bo7bo$675bo$632b3o
11bo23booboo$631bo14boo3bobo$630bo4boo14bobbo$629bo3bo20bo$629bobbo4bo
5bo3bo5bo$629bo3bo3bo5boboobo4bo$630boobob3o7bobboboo$633bo13bo$634b4o
11b3o$636boo11bobbo$649bobbo$649b3o3$656boo$656boo4$654bo$638boo12bob
3o$638boo13bobbo$650b3oboo$650boobo$650boo4$646boo$646boo9$273bo$271b
oo$272boo3$223bo$222bobo$222bobo$222bobbo$223bobo$226bo$225boo$225bo
13boo$239boo3$223bo$222bobo$224bo$224bo$224bo22boo$247boo$225bo$221boo
b3o$210bo12b3oboo$209bobo14bo$208bo3bo28bo$209bobo25booboboo$210bo29bo
boo$236bo5boo199bo$210b4o22bo4bo200boo$209bo4bo20bo4b3o199bobo$211bo
24bo4bo$208bo3bobbo25bo$208bob3obo23b3o$209b3obo$$237boo$237boo$$233b
3o$233b3o$232boobboo$235boo$231bobboo$214boo17bo$214boo14bo$228bobbo$
227booboo388bo$227bobbo387boo$227boboo388boo$228boo$$222boo$222boo98$
543bobo$543b3o$543boo15bo$559bobo$559bobbo$546bo13bobo$544bobo15boo$
544b3o12bo$547bo11boo$543b5o13bo$564boo3$558b5o$558b4obo$536boo20boo4b
o$537bobbo4bo14bobbo$534bobb3obobbobo$534bobbo4b4o14b3o$534bobbo$537bo
6bo$536boobo$544bo$519bo22boo$519bo49boo$518bobo48boo$519boobbo$518bo
5bo$518bo5bo$518bo4bo$522bo$519b3o$536bobo22bo$532b5o24boo$517booboo
15bo22bobo$522bo$517boo$$519boboo3boo$521bo4boo$506booboo6boboobboo26b
o$506boo8bob5o17boo9bo$506boobobo5bo4boo16boo8b3o$509bobo11bobo$510boo
$523b3o24b3o$551bo$551bo4$530boo$530boo4$524boo$512boo10bobbo$512boo
11b3o$523bo4bo$525bobo$523bobo4$520boo$520boo75$667bo$666b3o$665booboo
$664boobobo$663b3obb3o$664bo6bo$665b5obo$666b4oboo$671bo$670bo12boo$
683boo3$668bo$666boobo$$669bo$666bobbo21boo$667bo23boo$531bobo$532boo
138boo$532bo132b3o5boo$672boo$659b3o10bo$658bo3bo$657bo4bo$656bo3bo$
656bobbob3o$656bo7bo$658bo3bobo$658bo3boboo$660b3oboo5$640bo$639b3o$$
639b3o$640booboo$642bo5$640bo$639bobo$639b3o6$648bo9bobo$647bobo9boo$
647bobo9bo$626bobo6bobo10bo$625bo9bobo$626bobbo6bo20boo$628b3o26bobo$
656bobbo$656bobbo$617bo39boo$603boo7boobbobo38bo$603b3o6b4o3bo35b3o$
603boobobo7bo$606boo10boboo35bo$618bobo33bobo$619bo5$625bo$623b5o$628b
o$$626b3o$623bo$617b3o4boo$608boo5bo4bo8bo$608boo6boobbo8bobo$616bo12b
oo3$690bobo$691boo$691bo$616boo$616boo28$722bobo$723boo$723bo30$754bob
o$755boo$755bo4$529boo$525boo3bo$514b3o7bo6bo$517b3o5bo3b5o$517b3o6bo
3bo$518bo11bobbo$531boo7boo$540boo3$503bo$502bobo$501bo3bo$502bobo$
503bo14b3o$517bo3bo$503b4o10b3obbo$502bo4bo9bo3bo$504bo13b3o26bo$501bo
3bobbo9boo25boo$501bob3obo34boobobo$502b3obo37booboo$548bo$$520bo$517b
5o$516bo269bobo$787boo$517bo3bo265bo$518b3o$$507boo$507boo7$515boo$
427bo87boo$411booboo6boboobboo$411boo8bob5o$411boobobo5bo4boo$414bobo
11bobo$415boo$402bo25b3o6boo$402bo34boo$401bobo$402boobbo$401bo5bo$
401bo5bo$401bo4bo3boo$405bo4boo$402b3o25boo$$428bo$400booboo22booboboo
$405bo21b3obbo385bobo$400boo417boo$819bo$402boboo3boo$404bo4boo$389boo
boo6boboobboo$389boo8bob5o$389boobobo5bo4boo$392bobo11bobo$393boo$406b
3o6$413boo$413boo4$407boo60b3o$395boo10bobbo57bo$395boo11b3o57bo3bo$
406bo4bo54boo3boo$408bobo54bobbobobbo$406bobo56bobbobobboo$467booboobb
o$468bo4bo$471booboo$470b4o$471boo13boo$486boo362bobo$385b3o463boo$
384bo3bo10bo451bo$385boo15boo$387booboo$389boo59bobo6boo11bo$449bo9boo
11bo$450bobbo12boobbobo21boo$452b3o11boobbobb3o18boo$470bo6bo$471bo6bo
10bo$447b3o24bo3bo11bo$446bo27bobboo11boo$446bo3bo16boobo4boo12boo$
444boo3boo7boo11bo13boob3o$443bobbobobbo6boo8bobo14b5o98bobo$443bobbob
obboo16bo15bobboo99boo$305bo139booboobbo27boo5bo101bo$288b3o8bo5bo93b
3o44bo4bo28boo$287bo3bo6bo7bo92boo48booboo$288boo9b4obboo95boo44b4o$
290booboo9b3o92boobbo45boo$292boo11bobo92boobo$306bo7boo86bo$278b3o25b
o7boo$278bobo168bo$278bobo169bo$278bo4boo164bo$277b3o3boo$283bo3boo
173boo$279b4o4boo$280boo172boo$280bo166bo5bobbo425bobo$304b3o140bo5bo
bbo426boo$281bo26b3o136bo4booboo426bo$279bobo22bobob3o142boo9b3o$305bo
156bo3bo$278bo183bobbo$280b3o3boo156bo17b3o$278boobobob3o155boo$266b3o
8bo5bo158boboo$265bo3bo6bo7bo157bobboo5boo$266boo9b4obboo155b4ob3o4boo
$268booboo9b3o154bobbobobboo$270boo11bobo154bobobob3o$284bo139boo15boo
b3obo$284bo138bobo15b4obbobo$424bo19bo3bo$444bo3bo$444bobbo$426boo$
290boo54b3o77boo$290boo56bo$347bo84boo$431bobo$347bo84bo$284boo60boo
104bobo$272boo10bobbo57boboo103boo$272boo10b5o56bobboo84boo17bo$284boo
bbo54b4ob3o83boo$286bo55bobbobobboo$284bobo56bobobob3o$344boob3obo$
344b4obbobo$347bo3bo562bobo$347bo3bo563boo$347bobbo12boo77boo471bo$
263bo99boo77boo$207bo54b3o$193bobo6bobb4o52bo$192bo9bob4o54booboo$193b
obbo6b3o3boo52b3oboo$195b3o9bobboo53b4o67boo$208boboo114b3o7boo11boo$
209bo8boo109b3o11boo4bobo19boo$218boo109b3o11booboobboo19boo$330bo16b
oobbo$325bo28boo$324boo29boo9b3o$180b3o140boboo24bob3o12bo$180bobo140b
obboo24b3o10bo$180b3o138b4ob3o6boo7booboo13bo$196boo122bobbobobboo5boo
9boo13bo$195bobboo121bobobob3o16bo15bo3bo$182boo11booboo77bo44boob3obo
27boo6bo$180booboo14bo76bobo43b4obbobo26boo$180boobboo10boo27boo49bobb
o45bo3bo$179boo3boo11bo22boobbo53b3o44bo3bo$180boobboo37boo51boobboo
43bobbo$181bobo37bobobobo48b3obo$226bo51boo3$161bo35b3o126boo$157b4ob
oo5b3o22b3obo$156boob3oboo4b3o23booboo$157bob3obo7boo22booboo85boo659b
obo$158bo3b4o4boo25bo86bobo660boo$161boob3o118bo45boo614bo$162b5o13boo
3boo143bobbo$163bo16boo3boo136b3o4bobboo$287boo40bobboo8bo$150bo136boo
40b4o9boo$340boobo$154bo183booboo$295boo23boo17b3o$146b3obo144boo43bo$
146b3obo37boo3boo124bo3bo$147bo8boo18b3ob3o5boo3boo129bo4boo$148bo3b3o
boo10bo6b4obobbo27b3o103bo7bo3boo$149bo6bo8boo4bobbobo33b5o101bo4bo$
150bobobobo3boo5boo3bo10bo24bo4bobo101bobobo4bo$151bo8boo7boboo3b3o33b
ooboo100bo8bo$177boobboo24bo7bo102bo4boobo$204boo9bo103boboob3o$203bob
obbo5bo105b3oboo$203bo5bo$203bobo18bo$201bob3o13bo4boo$201bo16boo3bobo
$201bo15b3o$219boo$157b3o56bobboo$155bo3boo168bo$149b3o3bobobboo56b3o
108bobo$154bo5bo58bobo107boo552bobo$155bobboo59b3o662boo$155bo70b3obbo
bo650bo$226bobbo3bo453bo290bobo$229bobo455bo291boo$227bo3bo455bo223b3o
65bo$228bobo457boo223bo$155boo72bo458b3o221bo$155boo162boo367boo$319b
oo339bo$658booboo$$661boo$662bo24bo$656bo3bo15boo10bo$660bo3bo11boo9bo
3$645boo11bo$648boo4bo4b3o$645boob4o3bo$642b5o4b4o22bo$645b3o6bo4b3o
13bobo$646bo12b3o13bobo$645b3o11booboo12bo$652bo10bo12b3o$652bo8b3o12b
obo$$657boo16boboo$648boo7boo15bobbo$648boo$638bo32bobbo$636booboo30b
7o$671b3obboo$639boo$640bo369bobo$634bo3bo372boo$638bo3bo368bo3$636bo$
637b3o3$637b3o$637b3o$637booboo11bo$641bo11boo$639b3o11b3o$652b3o81boo
$650bobbo82boo$650bo$652bo$651bo3$642boo$642boo7$737bo$736b3o$736bobbo
$736b3o303bobo$736b3o14boo288boo$735boboobo12boo288bo$736bobb3o$736b4o
boo$737bob3o$722b3o6bo7b3o10bo$721bo4bo3bobo7boo10bo$721bo4boo3bo21bo$
721bo6bo22bobo7boo$722b3obobbobo4boo16bo6boo$726b5o5boobo$731bo4b4o12b
obo$738bo14boo$$734boo15b3o$725boo7boo14bo3bo$725boo23boobbo$749bo4boo
$715bo33bobbobbo$714b3o32bobbo$714bobbo37bo$714b3o$714b3o$713boboobo$
714bobb3o$714b4oboo$715bob3o$717b3o$718boo3$714boo358bobo$714boobo357b
oo$714b4o12bo344bo$716bo11boboo$728bobo$729bo4bo$735bo$727boo5bo$727b
oo3$719boo$719boo20$1106bobo$1107boo$1107bo13$844bobo$845boo$845bo15$
1138bobo$1139boo$1139bo59$1107bobo$1108boo$1108bo$1202bobo$1203boo$
1203bo30$1234bobo$1235boo$1235bo30$1266bobo$1267boo$1267bo30$1298bobo$
1299boo$1299bo27$1235bobo$1236boo$1236bo$1330bobo$1331boo$1331bo30$
1071bo290bobo$1071bo291boo$1071bo291bo$1072boo$1072b3o$1072boo$1044bo$
1042booboo$$1045boo$1046bo24bo$1040bo3bo15boo10bo$1044bo3bo11boo9bo$$
1088boo$1029boo11bo45boo10bobo$1032boo4bo4b3o55boo$1029boob4o3bo61bo$
1026b5o4b4o22bo$1029b3o6bo4b3o13bobo$1030bo12b3o13bobo$1029b3o11booboo
12bo$1036bo10bo12b3o$1036bo8b3o12bobo$$1041boo16boboo$1032boo7boo15bo
bbo$1032boo$1022bo32bobbo$1020booboo30b7o$1055b3obboo$1023boo$1024bo
369bobo$1018bo3bo372boo$1022bo3bo300b3o65bo$1329bo$1328bo$1020bo$1021b
3o3$1021b3o$1021b3o$1021booboo11bo$1025bo11boo$1023b3o11b3o$1036b3o$
1034bobbo$1034bo$1036bo$1035bo3$1026boo$1026boo24$1152boo$1152boo14$
1153bo$1152b3o$1152bobbo$1152b3o303bobo$1152b3o14boo288boo$1151boboobo
12boo288bo$1152bobb3o$1152b4oboo$1153bob3o$1138b3o6bo7b3o10bo$1137bo4b
o3bobo7boo10bo$1137bo4boo3bo21bo$1137bo6bo22bobo7boo$1138b3obobbobo4b
oo16bo6boo$1142b5o5boobo$1147bo4b4o12bobo$1154bo14boo$$1150boo15b3o$
1141boo7boo14bo3bo$1141boo23boobbo$1165bo4boo$1131bo33bobbobbo$1130b3o
32bobbo$1130bobbo37bo$1130b3o$1130b3o$1129boboobo$1130bobb3o$1130b4ob
oo$1131bob3o$1133b3o$1134boo3$1130boo358bobo$1130boobo357boo$1130b4o
12bo344bo$1132bo11boboo$1144bobo$1145bo4bo$1151bo$1143boo5bo$1143boo3$
1135boo$1135boo20$1522bobo$1523boo$1523bo30$1554bobo$1555boo$1555bo62$
1618bobo$1619boo$1619bo13$1356bobo$1357boo$1357bo12$1555bobo$1556boo$
1556bo$1650bobo$1651boo$1651bo62$1714bobo$1715boo$1715bo30$1455bo290bo
bo$1455bo291boo$1455bo291bo$1456boo$1456b3o$1456boo$1428bo$1426booboo
$$1429boo$1430bo24bo$1424bo3bo15boo10bo$1428bo3bo11boo9bo3$1413boo11bo
$1416boo4bo4b3o$1413boob4o3bo$1410b5o4b4o22bo$1413b3o6bo4b3o13bobo$
1414bo12b3o13bobo$1413b3o11booboo12bo$1420bo10bo12b3o$1420bo8b3o12bobo
$$1425boo16boboo$1416boo7boo15bobbo$1416boo$1406bo32bobbo$1404booboo
30b7o$1439b3obboo$1407boo$1408bo369bobo$1402bo3bo372boo$1406bo3bo368bo
3$1404bo$1405b3o3$1405b3o$1405b3o$1405booboo11bo$1409bo11boo$1407b3o
11b3o$1420b3o81boo$1418bobbo82boo$1418bo$1420bo$1419bo3$1410boo$1410b
oo10$1810bobo$1811boo$1811bo44$1568boo$1568boo17$1874bobo$1875boo$
1875bo13$1612bobo$1613boo$1613bo12$1601bo$1600b3o$1600bobbo$1600b3o
303bobo$1600b3o14boo288boo$1599boboobo12boo28b3o257bo$1600bobb3o43bo$
1600b4oboo41bo$1601bob3o$1586b3o6bo7b3o10bo$1585bo4bo3bobo7boo10bo$
1585bo4boo3bo21bo$1585bo6bo22bobo7boo$1586b3obobbobo4boo16bo6boo$1590b
5o5boobo$1595bo4b4o12bobo$1602bo14boo$$1598boo15b3o$1589boo7boo14bo3bo
$1589boo23boobbo$1613bo4boo$1579bo33bobbobbo$1578b3o32bobbo$1578bobbo
37bo$1578b3o$1578b3o$1577boboobo$1578bobb3o$1578b4oboo$1579bob3o$1581b
3o$1582boo3$1578boo$1578boobo$1578b4o12bo$1580bo11boboo$1592bobo$1593b
o4bo$1599bo$1591boo5bo$1591boo3$1583boo$1583boo20$1970bobo$1971boo$
1971bo25$1687bo$1686bo$1686b3o3$2002bobo$2003boo$2003bo30$2034bobo$
2035boo$2035bo30$2066bobo$2067boo$2067bo62$1839bo290bobo$1839bo291boo$
1839bo291bo$1840boo$1840b3o$1840boo$1812bo$1810booboo$$1813boo$1814bo
24bo$1808bo3bo15boo10bo$1812bo3bo11boo9bo$$1856boo$1797boo11bo45boo10b
obo$1800boo4bo4b3o55boo$1797boob4o3bo61bo$1794b5o4b4o22bo$1797b3o6bo4b
3o13bobo$1798bo12b3o13bobo$1797b3o11booboo12bo$1804bo10bo12b3o$1804bo
8b3o12bobo$$1809boo16boboo$1800boo7boo15bobbo$1800boo$1790bo32bobbo$
1788booboo30b7o$1823b3obboo$1791boo$1792bo$1786bo3bo$1790bo3bo3$1788bo
$1789b3o3$1789b3o$1789b3o$1789booboo11bo$1793bo11boo$1791b3o11b3o$
1804b3o$1802bobbo$1802bo$1804bo$1803bo3$1794boo$1794boo24$1920boo$
1920boo14$2131bobo$2132boo$2132bo$2226bobo$2227boo$2227bo30$2258bobo$
2259boo$2259bo12$1984boo$1984boo17$2290bobo$2291boo$2291bo27$2017bo$
2016b3o$2016bobbo$2016b3o$2016b3o14boo$2015boboobo12boo28b3o$2016bobb
3o43bo$2016b4oboo41bo$2017bob3o$2002b3o6bo7b3o10bo$2001bo4bo3bobo7boo
10bo$2001bo4boo3bo21bo$2001bo6bo22bobo7boo$2002b3obobbobo4boo16bo6boo$
2006b5o5boobo$2011bo4b4o12bobo$2018bo14boo$$2014boo15b3o$2005boo7boo
14bo3bo$2005boo23boobbo$2029bo4boo$1995bo33bobbobbo$1994b3o32bobbo$
1994bobbo37bo$1994b3o$1994b3o$1993boboobo$1994bobb3o$1994b4oboo$1995bo
b3o$1997b3o$1998boo259bobo$2260boo$2260bo$1994boo$1994boobo$1994b4o12b
o$1996bo11boboo$2008bobo$2009bo4bo$2015bo$2007boo5bo$2007boo3$1999boo$
1999boo20$2386bobo$2387boo$2387bo13$2124bobo$2125boo$2125bo79$2482bobo
$2483boo$2483bo30$2223bo290bobo$2223bo291boo$2223bo291bo$2224boo$2224b
3o$2224boo$2196bo$2194booboo$$2197boo$2198bo24bo$2192bo3bo15boo10bo$
2196bo3bo11boo9bo3$2181boo11bo$2184boo4bo4b3o$2181boob4o3bo$2178b5o4b
4o22bo$2181b3o6bo4b3o13bobo$2182bo12b3o13bobo$2181b3o11booboo12bo$
2188bo10bo12b3o$2188bo8b3o12bobo$$2193boo16boboo$2184boo7boo15bobbo$
2184boo$2174bo32bobbo$2172booboo30b7o$2207b3obboo$2175boo$2176bo369bob
o$2170bo3bo372boo$2174bo3bo368bo3$2172bo$2173b3o3$2173b3o$2173b3o$
2173booboo11bo$2177bo11boo$2175b3o11b3o$2188b3o81boo$2186bobbo82boo$
2186bo$2188bo$2187bo3$2178boo$2178boo10$2578bobo$2579boo$2579bo44$
2336boo$2336boo17$2642bobo$2643boo$2643bo6$18bo$18bo$17bobo$18boobbo
11boo$17bo5bo9bobbo$17bo5bo10boo$17bo4bo12bo$21bo13bo2344bobo$18b3o13b
oobo2343boo$33boo2346bo$37bo$16booboo12bob3o4boo$21bo12bobbo4boo$16boo
16b3o$18b3o$$3b3o$bbo31bo$bo4boo25b3o$o3bo27bob3o1938bo$obbo4bo23bo
1941bo$o3bo3bo24b5o15bo1920b3o$boobob3o27boboo14boo$4bo28bo3bobo$5b4o
31bo$7boo24bobb4o$34boo3$29bo4boo$28boo3b3o$27bo3bobboo$27bo3bo$33bo$
29boboboo$31bobo$9boo13bo$9boo12bo$22bobbo2374boo$22bobbo2374boo$23boo
4$17boo$17boo40$2433bo$2432b3o$2432bobbo$2432b3o$2432b3o14boo$2431bob
oobo12boo28b3o$2432bobb3o43bo$2432b4oboo41bo$2433bob3o$2418b3o6bo7b3o
10bo$2417bo4bo3bobo7boo10bo$2417bo4boo3bo21bo$2417bo6bo22bobo7boo$
2418b3obobbobo4boo16bo6boo$2422b5o5boobo$2427bo4b4o12bobo$2434bo14boo
$$2430boo15b3o$2421boo7boo14bo3bo$2421boo23boobbo$2445bo4boo$2411bo33b
obbobbo$2410b3o32bobbo$2410bobbo37bo$2410b3o$2410b3o$2409boboobo$2410b
obb3o$2410b4oboo$2411bob3o$2413b3o$2414boo3$2410boo358bobo$2410boobo
357boo$2410b4o12bo344bo$2412bo11boboo$2424bobo$2425bo4bo$2431bo$2423b
oo5bo$2423boo3$2415boo$2415boo20$2802bobo$2803boo$2803bo6$562bo$562bo$
561bobo$562boobbo11boo$561bo5bo9bobbo$561bo5bo10boo$561bo4bo12bo$565bo
13bo$562b3o13boobo$577boo$581bo$560booboo12bob3o4boo$565bo12bobbo4boo$
560boo16b3o$562b3o$$547b3o$546bo31bo$545bo4boo25b3o$544bo3bo27bob3o$
544bobbo4bo23bo$544bo3bo3bo24b5o15bo$545boobob3o27boboo14boo$548bo28bo
3bobo$549b4o31bo$551boo24bobb4o$578boo3$573bo4boo$572boo3b3o$571bo3bo
bboo$571bo3bo$577bo$573boboboo$575bobo$553boo13bo$553boo12bo$566bobbo$
566bobbo$567boo4$561boo$561boo43$2898bobo$2899boo$2899bo13$2636bobo$
2637boo$2637bo3$2799b3o$2801bo$2800bo10$2930bobo$2931boo$2640bo290bo$
2639bobo$2638booboo$2638booboo$2637b3o$2637b3o3bo$2637b3o4bo12boo$
2612b3o23boo5bo11boo$2612bobbo22b3o17bo$2615bo23boo$2612boo15boo9boo$
2611bobo15boo$2612bobb3o$2613boobbo$2613bo3bo44bo$2599bo7bo6bobo10bobo
$2598b3o5bobo7bo12bo$2597boob4obbobbo3bobbo16bo$2598b3obbo9bo13b3o$
2599bobboobbo21boo$2603boobobo3boobbo11boo$2607bo5b3o13boo$2630bo$$
2610boo16bo$2601boo7boo15b3o$2601boo23booboo$2625bo4bo$2625b4obbo$
2590b3o33boo4bo$2590bobbo63b3o$2593bo36bobo24bobo$2590boo65bobo14boo$
2589bobo65bo4boo9bobbo$2590bobb3o60b3o3boo10b3o$2591boobbo66bo12boo$
2591bo3bo62b4o13bo$2592bobo49bo14boo12boboo$2594bo49bo5b3o6bo13b4o$
2591bobbo48bobo3boobbo19bobobo$2591bo52bo3bo5bo5bo13booboo3boo$2644bo
3bo9bobo12bo3bo4boo$2590boobbo10bo43bobboo3b4o13b3o$2591b3o12bo43boo5b
3o15bo$2604bobo52bo$2604b3o$2609boo44boo$2611bo34boo7boo$2603boo4boo
35boo24b3o$2603boo66bo3bo$2670bo3boo$2671bo$2595boo38b3o37b3o$2595boo
38bobo35bo4bo$2635bobo$2635bo4boo$2634b3o3boo$2640bo$2636b4o$2637boo9b
obobo$2637bo10bobb3o$2648bobooboo$2638bo11b4o$2636bobo10b5o$2635b4o$
2635b3o11bobo$2637bo12bo$2650bo3bo$2653bo3bobo$2655bobobo$2648boo4b5o$
2648boo5boo3$2640boo$2640boo14$1175bo$1174bo$1174b3o3$3026bobo$3027boo
$3027bo5$1122b3o$1122bobbo$1125bo$1122boo15boo$1121bobo15boo$1122bobb
3o$1123boobbo$1123bo3bo$1124bobo10bobo$1126bo12bo$1123bobbo16bo$1123bo
13b3o7boo$1138boo7boo$1122boobbo11boo$1123b3o12b3o$1108bo29boo$1107bob
oo28boo$1111bo26bobbo$1105bo3bobbo25booboo$1103bo9bo25bobobo$1103bo4b
oobboo29bo$1112boo22boob6o$1105bo5bo25boobboboo$1106bo4b3o31boo$1107bo
4boo29boboo$1109b4o29boobo$1141boobo$1139bo$1135bo$1133b6o$1133bo7bo$
1133b3o$1136bo$1137bo$1135bo5bo$1135b5o$1114boo20b3o$1114boo11b3o$
1126booboo$1126boobbo$1128boo4$1122boo$1122boo46$2832bo$2831bobo$2830b
ooboo$2830booboo$2829b3o$2829b3o3bo$2829b3o4bo12boo$2804b3o23boo5bo11b
oo$2804bobbo22b3o17bo$2807bo23boo$2804boo15boo9boo$2803bobo15boo$2804b
obb3o$2805boobbo$2805bo3bo44bo$2791bo7bo6bobo10bobo$2790b3o5bobo7bo12b
o$2789boob4obbobbo3bobbo16bo$2790b3obbo9bo13b3o$2791bobboobbo21boo$
2795boobobo3boobbo11boo$2799bo5b3o13boo34boo$2822bo34boo$$2802boo16bo$
2793boo7boo15b3o$2793boo23booboo$2817bo4bo$2817b4obbo$2782b3o33boo4bo$
2782bobbo368bobo$2785bo36bobo330boo$2782boo371bo$2781bobo$2782bobb3o$
2783boobbo$2783bo3bo$2784bobo$2786bo$2783bobbo$2783bo$$2782boobbo10bo$
2783b3o12bo$2796bobo$2796b3o93bobo$2801boo90boo$2803bo89bo$2795boo4boo
$2795boo3$2787boo$2787boo32$2921boo$2921boo$3196bo$3196bo$3196bob3o$
3198b3o$3199bo13b3o$3199boo$3200bo$3200boo13bo$3214boo$3197booboo11b3o
6boo$3198b3o12bo8boo$3198bo12bo$3211bo3boo$3215boo$3212bo$3213bobbo$
3190bo22b3o3bo3bo$3186boobobo7bo19bo$3186bobbooboobbooboo23bo$3186bo5b
obo27b4obo$3187boobbo9boo24boo$3191bobb3obo27boo$3191b3o5b3o16boo$
3219boo$3218boo$3216b3o$3216bo$3023b3o190bo$3025bo$3024bo$$3206bo3boo$
3194bobbo6boobooboo$3197b3o3bo7bo$3189boo3boob4o3bo6boo$3189boo9boo4b
oobboo$3155bobo48boobboo$3156boo$3156bo39bo$2945b3o$2945bobo$2945bobo
14boo$2945bo4boo9bobbo232boo$2944b3o3boo10b3o232boo$2950bo12boo$2946b
4o13bo$2932bo14boo12boboo$2932bo5b3o6bo13b4o$2931bobo3boobbo19bobobo$
2932bo3bo5bo5bo13booboo3boo$2932bo3bo9bobo12bo3bo4boo$2937bobboo3b4o
13b3o$2938boo5b3o15bo$2947bo$$2943boo$2934boo7boo$2934boo24b3o$2959bo
3bo$2958bo3boo$2959bo$2923b3o37b3o$2923bobo35bo4bo$2923bobo$2923bo4boo
$2922b3o3boo$2928bo$2924b4o$2925boo9bobobo$2925bo10bobb3o$2936bobooboo
$2926bo11b4o$2924bobo10b5o$2923b4o$2923b3o11bobo$2925bo12bo$2938bo3bo$
2941bo3bobo$2943bobobo$2936boo4b5o$2936boo5boo3$2928boo$2928boo13$
1609bo$1608boo7bo$1607bobob3obbobo$1606b3o3boo3bo$1607boboboobobo$
1608booboo$1609bob5obo$1613b4o11boo$1628boo6$1598b3o$1598b3o35boo$
1612bo23boo$1598boboo13bo6bobo$1598bo3bo7bo11bobobo$1600b3o6bo3bobbo
10boo$1610b3obbo10bo$1611bo3bo$1613boo$1613bo$1599bo$1598bobo$1599bo$
1598boo$1598boo$1599bo$1597boboo$1598boboobo$1598bo4bo$1601bobo7$1603b
oo$1603boo$$1617b3o$1615booboo$1615b5o$1615bo$1615boob3o$1617b3o17$
3017bo$3016bo$3016b3o41$3126bo$3125b3o$3124booboo$3125b3o14bo$3126bo
14b3o$3126bobo11bo3bo$3126b4o9boobb3o$3129bo10bo3bo$3140bobbo$3125boob
oo11bobo6boo$3124bo5bo19boo$3125bo3bo$3126bo$$3141boboo$3140b5o$3140b
4o$3112bo42boo$3112b4o6bo18b3o14bo$3112bo3bo5bo18b3o9bo4bo$3142bo4boo
4bo5bo$3114b3o29b3o4bo3boo$3145b4o6boboo$3143boobb3obo$3143boobobboo$
3142boo6bo$3143bobbo$3144b3o$3138boo$3138boo$3137bobbo$3137boboo$3134b
3o$3135boo$3117boo9boobbo$3117boo5boobo4boo$3128boboboo$3130boo5$3125b
oo$3125boo51$2132bo$2130booboo$$2133boo$2134bo$2128bo3bo15boo$2132bo3b
o11boo3$2130bo$2131b3o$$2147bo$2131b3o14bo7boo$2131b3o14bo7boo$2131boo
boo$2135bo$2117bo15b3o$2117bo31bobo$2117bob3o27bo$2119b3o27bo$2120bo
30bo$2120boo28boo739bo$2121bo27boo306b3o430boo7bo$2121boo24boboo305bo
432bobob3obbobo$2146b3obobbo302bo3bo427b3o3boo3bo$2118booboo25bo4bo
300boo3boo428boboboobobo$2119b3o30b3o298bobbobobbo428booboo$2119bo29b
3o301bobbobobboo428bob5obo$2144bo310booboobbo432b4o11boo$2142bobboo
309bo4bo448boo$2146bo312booboo$2144bo313b4o$2141bobbo314boo13boo$2141b
obboo328boo$2142booboo$2144b3o733b3o$2145boo312bo420b3o35boo$2123boo
335bo433bo23boo$2123boo14boo318bo420boboo13bo6bobo$2140boo738bo3bo7bo
11bobobo$2139boo341boo398b3o6bo3bobbo10boo$2137b3o342boo408b3obbo10bo$
2137bo307bo18boo427bo3bo$2137bo307bo11bo5bobbo428boo$2445bo11bo5bobbo
428bo$2131boo316bo7bo4booboo414bo$2131boo312b3obbo12boo415bobo$2444bo
4bo431bo$2444bo3bo431boo$2445b3o432boo$2881bo$2879boboo$2444bobo433bob
oobo$2444bobo433bo4bo$2444bobo436bobo$2444bobo$2445boo5$2885boo$2885b
oo$$2464bo434b3o$2449boo10bobbobbobo427booboo$2449boo15bo430b5o$2460bo
5bobbo427bo$2461bobo3bo429boob3o$2899b3o$2463b3o$2462booboo$2461bo3boo
1431b3o$2457boo3bobbo$2457boo3bobo1437boo$3904bo$3898b4obo11bo$3898b5o
12bo$3915bo$$3898bobo$3898bobo$3899bo$3898bobo$3899boo$3899bo$3884bo3b
oobboobo$3884bo3boo4boboo$3853bo30bo3boobbooboo13bo$3852bobo33boo18boo
$3851bo3bo13b3o14bobbo19boo$3851bo3bo8bo21bobo$3851bobob3o4boob3o19bo$
3852boobobbo5boboo$3856bobo8bo$3842b3o11boo11bobbo5boo$3842bobbo23b3o
6boo12bo$3845bo46boo$3842boo47bobo$3841bobo$3842bobb3o$3843boobbo3boo$
3843bo3bo3boo$3844bobo$3846bo22bo$3844boo22boboobo$3867bo4bobo$3868bo
5bo$3845bo23booboo$3845boo$3831bo13boo$3830bobo17bo$3829bo3bo11bobob3o
$3829bo3bo6b5obobobo$3829bobob3o4booboo$3830boobobbo5boboo$3834bobo8bo
$3834boo11bobbo$3847b3o$$3894bo$3892boo$3893boo$3854boo$3854boo5$3836b
oo9bo3b3o$3836boo8bobbo3bo$3850boboo$3847bo3bo$3849b3o4$3844boo$3844b
oo5$3835b3o$3833b7o6bo$3832b9o4bo$3831bo7b3obboo$3832b3o6bo3bobbo$
3833boo11b3o$3836bo10bo$3837bo18boo$3838bo17boo$3878bo$3876boo$3877boo
$$3823bo$3823bo$3823bo8bo23b3o5boo$3830bobo20boobobo5boo$3824b3obbo3bo
19bobbobo$3825bob5o10boboo5b3o$3831bo4boo4bobo3booboo$3826boo8boo6boob
3obbo7$3869bo$3868bobo$3834bo34boo$3833b4o$1992bo1838b5obo$1990bobo
1832b3obbo6boo$1991boo1836bo3bob3o$3830bobobboo$3877bo$3876bobo$3877b
oo3$3831boo$3831boo$$3885bo$3884bobo$3885boo6$3893bo$3892bobo$3893boo
6$3901bo$3900bobo$3901boo6$3909bo$3908bobo$3909boo6$3917bo$3916bobo$
3917boo6$3925bo$3924bobo$3925boo6$3933bo$3932bobo$3933boo6$3941bo$
3940bobo$3941boo6$3949bo$3948bobo$3949boo6$3957bo$3956bobo$3957boo14$
3973bo$3972bobo$3973boo5$3688b3o$3687bo3bo289bo$3686bo3boo288bobo$
3687bo293boo$3688b4o$3690boboo$3690bobbo$3691boo12boo$3705boo$3989bo$
3988bobo$3689boo298boo$3675bo13boo$3671boobobo12bobo$3671bobbooboo10b
oo$3671bo5bobobo7b3o21boo$3672boobbo4bobb3obobboo20boo$3676bobboo4boo
bbo16bo290bo$3676b3o9bo4boo10bobbo287bobo$3689bo4bo302boo$3688bo5bo11b
obbo$3687b3o3bo13bobo$3666b3o8boo9bo16bobboo$3665bo3bo7boo26bobo$3664b
o3boo35b3o$3665bo33boo304bo$3666b4o29boo303bobo$3668boboo333boo$3668bo
bbo$3669boo4$3668bo344bo$3668bo343bobo$3667bobo343boo$3668bo$3668boo$
3668b3o11bo$3681bobo$3666bo4boo7bo3bo$3666bo5bo8bobbo336bo$3666bo5bo8b
o338bobo$3671bo10bobo336boo$3681bobbo$3682boo4$3671boo356bo$3671boo
355bobo$4029boo6$4037bo$4036bobo$4037boo6$4045bo$4044bobo$4045boo6$
4053bo$4052bobo$4053boo6$4061bo$4060bobo$4061boo6$4069bo$4068bobo$
4069boo6$4077bo$4076bobo$4077boo6$4085bo$4084bobo$4085boo6$4093bo$
4092bobo$4093boo6$4101bo$4100bobo$4101boo6$4109bo$4108bobo$4109boo6$
4117bo$4116bobo$4117boo6$4125bo$4124bobo$4125boo6$4133bo$4132bobo$
4133boo6$4141bo$4140bobo$4141boo6$4149bo$4148bobo$4149boo6$4147bobo7bo
$4148boo6bobo$4148bo8boo6$4165bo$4164bobo$4165boo6$4173bo$4172bobo$
4173boo6$4181bo$4180bobo$4181boo6$4189bo$4188bobo$4189boo6$4197bo$
4196bobo$4197boo6$4205bo$4204bobo$4205boo6$4213bo$4212bobo$4213boo10$
2134bo$2132bobo$2133boo$$4229bo$4228bobo$4229boo6$4237bo$4236bobo$
4237boo6$4245bo$4244bobo$4245boo6$4253bo$4252bobo$4253boo6$4261bo$
4260bobo$4261boo6$4269bo$4268bobo$4269boo6$4277bo$4276bobo$4277boo6$
4285bo$4284bobo$4285boo6$4293bo$4292bobo$4293boo6$4301bo$4300bobo$
4301boo6$4309bo$4308bobo$4309boo6$4317bo$4316bobo$4317boo6$4325bo$
4324bobo$4325boo6$4333bo$4332bobo$4333boo14$4349bo$4348bobo$4349boo14$
4365bo$4364bobo$4365boo6$4373bo$4372bobo$4373boo6$4381bo$4380bobo$
4381boo6$4389bo$4388bobo$4389boo6$4397bo$4396bobo$4397boo6$4405bo$
4404bobo$4405boo6$4413bo$4412bobo$4413boo6$4421bo$4420bobo$4421boo6$
4429bo$4428bobo$4429boo6$4437bo$4436bobo$4437boo6$4445bo$4444bobo$
4445boo6$4453bo$4452bobo$4453boo6$4461bo$4460bobo$4461boo6$4469bo$
4468bobo$4469boo14$4485bo$4484bobo$4485boo$3646bo$3642boobobo7bo$3642b
obbooboobbooboo$3642bo5bobo5bo$3643boobbo8bo$3620bo26bobb3obbo837bo$
3616b5o7boo17b3o842bobo$3616bo3bobo4b3o863boo$3616b3o3b3o3b3o$3622boo
bb3o126bo$3622bo128b5o7boo$3619b3o16boo111bo3bobo4b3o$3619boo17boo111b
3o3b3o3b3o$3757boobb3o737bo$3603bo153bo742bobo$3601booboo148b3o16boo
726boo$3603bo150boo17boo$3611boo34b3o$3611boo36bo88bo$3604boo17b3o8boo
12bo87booboo$3603bobbo20bobo4boo102bo$3602boo3bo15bob3obboo114boo761bo
$3602bo4bo16b4obo116boo760bobo$3602bo3bo16booboo111boo17b3o8boo738boo$
3603bobbo17b4o4bo105bobbo20bobo4boo$3604bo20bo5bobbo102boo3bo15bob3obb
oo$3610boo21b3o101bo4bo16b4obo$3598bo11boo22boo101bo3bo16booboo$3594b
5o7boo24b3o103bobbo17b4o4bo$3594bo3bobo4b3o26bo104bo20bo5bobbo747bo$
3594b3o3b3o3b3o23boo48boo61boo21b3o745bobo$3600boobb3o75boo49bo11boo
22boo746boo$3600bo128b5o7boo24b3o$3597b3o129bo3bobo4b3o26bo$3597boo
130b3o3b3o3b3o23boo$3735boobb3o$3735bo$3732b3o790bo$3732boo790bobo$
4525boo$$3614bo$3613bobo$3612bo$3597bo3b3obo6bo4bo$3596bobo3bobobo5bob
o134bo783bo$3596bob7oboo5boobo131bobo781bobo$3597b3oboo3bo9bo130bo785b
oo$3603b3o10bo115bo3b3obo6bo4bo$3604bo12bo113bobo3bobobo5bobo$3731bob
7oboo5boobo$3732b3oboo3bo9bo$3738b3o10bo778bobo$3604boo133bo12bo778boo
8bo$3604boo925bo8bobo$4541boo$3865bo$3739boo110boo7boobbobo$3739boo
110b3o6b4o3bo670bo$3851boobobo7bo671bobo$3854boo10boboo667boo$3866bobo
680bo$3867bo8boo670bobo$3840b3o33boo671boo$$3844bo$3840bo3boo$3842bobo
$3839b3o7boo$3841bo7boo706bo$4556bobo$3840boo28b3o684boo$3841boo24bob
oo$3841bo24bo3bo$3841boo23bo3bo$3722bo117boo25b3o$3705b3o8bo5bo$3704bo
3bo6bo7bo124boo715bo$3705boo9b4obboo119bo4boo714bobo$3707booboo9b3o
105boo7boobbobo720boo$3709boo11bobo104b3o6b4o3bo$3723bo7boo96boobobo7b
o$3695b3o25bo7boo99boo10boboo$3695bobo146bobo$3695bobo147bo$3695bo4boo
871bo$3694b3o3boo870bobo$3700bo3boo867boo$3696b4o4boo$3697boo55bo$
3697bo54bobo97bo$3721b3o29boo96bobo$3698bo26b3o126bo$3696bobo22bobob3o
853bo$3722bo128bo728bobo$3695bo147b3o735boo$3697b3o3boo129boo5bo3b5obo
$3695boobobob3o129boo6boo4boobboo$3683b3o8bo5bo141bob6o$3682bo3bo6bo7b
o$3683boo9b4obboo$3685booboo9b3o887bo$3687boo11bobo885bobo$3701bo887b
oo$3701bo140boo$3842boo$$3832bo$3832bo5b3o$3707boo122bobo3boobbo$3707b
oo123bo3bo5bo$3832bo3bo$3837bobboo$3838boo$3701boo$3689boo10bobbo$
3689boo10b5o$3701boobbo899bo$3703bo900bobo$3701bobo901boo4$3697boo$
3697boo3$3776boo3b4o$3771b3obobbo6bo$3775bobbobb5o$3775bobbo$3777bo$
3774bobo17boo$3775bo18boo825bo$4620bobo$3760bo860boo$3757b4o$$3767boo$
3767boo$3760bobo16boo4boo3boo$3761bo16bobbobbo6bo837bo$3759boo18boobo
bboobbo838bobo$3759bobbo16booboobbobbo839boo$3758booboo17bobo$3781bo7b
obbo$3788boo$3766boo21b3o$3766boo$3754boo3b4o874bo$3749b3obobbo6bo24b
oo846bobo$3753bobbobb5o24boo847boo$3753bobbo$3755bo$3752bobo$3753bo$$
4645bo$4644bobo$4645boo5$3769b3o$3758b3o7bo3bo880bo$3753boo3b4o7b4o
879bobo$3752boo3bo4bo9bo880boo$3757booboo11boo$3757b4o12boo$3758bo14bo
3$4661bo$3760boo898bobo$3760boo899boo6$4669bo$4668bobo$4669boo6$4677bo
$4676bobo$4677boo6$4685bo$4684bobo$4685boo6$4693bo$4692bobo$4693boo6$
4701bo$4700bobo$4701boo6$4709bo$4708bobo$4709boo6$4717bo$4716bobo$
4717boo6$4725bo$4724bobo$4725boo14$4741bo$4740bobo$4741boo6$4749bo$
4748bobo$4749boo6$4757bo$4756bobo$4757boo6$4765bo$4764bobo$4765boo6$
4773bo$4772bobo$4773boo6$4781bo$4780bobo$4781boo6$4789bo$4788bobo$
4789boo6$4797bo$4796bobo$4797boo6$4805bo$4804bobo$4805boo6$4813bo$
4812bobo$4813boo6$4821bo$4820bobo$4821boo6$4829bo$4828bobo$4829boo6$
4837bo$4836bobo$4837boo6$4845bo$4844bobo$4845boo14$4861bo$4860bobo$
4861boo13$3601bo$3593b3o3b4o1274bo$3593bobo3booboo1272bobo$3593b3obbo
1278boo$3598boo3bo$3599b4o$3566b3o6bo24b3o$3567boo3boobo$3566boo5bobo$
3571b3obo1309bo$3574boo125b3o6bo1173bobo$3586boo114boo3boobo1174boo$
3586boo113boo5bobo$3706b3obo$3709boo$3550bo170boo$3549b3o169boo$3548b
ooboo6boo1332bo$3547boo3bo6boo1331bobo$3548bobobobo11b5o114bo1207boo$
3549boobobbo10boobo114b3o$3016bo535boobo12boobo7boo10b3o89booboo6boo$
3014bobo536boo15bobo6boobo10bo88boo3bo6boo$3015boo554boo5boo3bo8bo90bo
bobobo11b5o22bobo$3577bo3boo101boobobbo10boobo25bo$3577bo109boobo12boo
bo7boo10bo1174bo$3558boo10boo6bobo107boo15bobo6boobo10bo1171bobo$3558b
oo10boo134boo5boo3bo8bo1173boo$3544b3o6bo158bo3boo$3545boo3boobo26boo
130bo$3544boo5bobo26boo111boo10boo6bobo$3549b3obo139boo10boo$3552boo
125b3o6bo$3680boo3boobo26boo1192bo$3679boo5bobo26boo1191bobo$3684b3obo
1220boo$3687boo5$4917bo$4916bobo$3554bo3boo1357boo$3548boboo3boboobo$
3546boobo3bobo4boo4bo$3549bobobb3obboo4bobo$3550bo4boo8bobo121bo3boo$
3566bo116boboo3boboobo$3681boobo3bobo4boo4bo1223bo$3684bobobb3obboo4bo
bo1221bobo$3563bo121bo4boo8bobo1222boo$3561bobbo136bo$3552boo8boo$
3552boo$3698bo105boo$3696bobbo105bobbo4bo$3687boo8boo103bobb3obobbobo
1118bo$3687boo113bobbo4b4o1118bobo$3802bobbo1127boo$3805bo6bo$3804boob
o$3812bo11boo$3810boo12boo$3787boo$3787b3o1151bo$3787boobo1149bobo$
3650b3o138bo1149boo$3659bo123bo3boo3bo4boo$3652boo5b3o131bo3boo19bo$
3652b4o4bo129bobo15bo8boo$3652boob3oboo129bo17boo6bobbo$3657bobo125bo
4bobo11bobbooboo5boo$3671boo132b3ob3o7boo1128bo$3671boo116b4o13bo3boo
6booboo1125bobo$3789boo14b3o11bobo1127boo$3805b3o12bo$3782boo12boo9b3o
$3635bo147bobbo4bo4boo10boo$3634b3o7boo134bobb3obobbobo$3633bo10boo10b
o123bobbo4b4o26boo$3634booboo12boo26boo99bobbo34boo1137bo$3635b3oboo
10boob3o6boo14boo102bo6bo1165bobo$3637b4o14boo6boo11bo105boobo1171boo$
3656boo4booboo9boo112bo$3657bo4boobbo8bobo110boo$3662boobbo$3663b3o$
3643boo10boo$3628b3o12boo10boo1308bo$3637bo1326bobo$3630boo5b3o25boo
1298boo$3630b4o4bo26boo$3630boob3oboo$3635bobo161bo$3799bo$3783bobbo
12boboboo$3784b3ob3o9boobobo1167bo$3784boobobo12boobo1166bobo$3786b3o
15bo1168boo$3787boo4$3639boo149boo$3642bo140bo6boo1189bo$3632bo4boo4b
oo137b3o1195bobo$3632bo3boo6bo6bo129boobbo1195boo$3632bobb3obboobbo5bo
bo127boobboo$3640boobo6bobo128boo$3651bo130b5o$3786boo$3646boo136bobbo
$3647bo137boo$3647b3o$3637boo$3637boo5$4997bo$4996bobo$4997boo3$3721b
3o$3730bo$3723boo5b3o$3723b4o4bo1273bo$3723boob3oboo1272bobo$3728bobo
1274boo$3742boo$3742boo4$3706bo1306bo$3705b3o7boo1295bobo$3704bo10boo
10bo1285boo$3705booboo12boo26boo$3706b3oboo10boob3o6boo14boo$3708b4o
14boo6boo11bo$3727boo4booboo9boo$3728bo4boobbo8bobo$3733boobbo1283bo$
3734b3o1283bobo$3714boo10boo1293boo$3699b3o12boo10boo$3708bo$3701boo5b
3o25boo$3701b4o4bo26boo$3701boob3oboo$3706bobo1320bo$5028bobo$5029boo
6$5037bo$5036bobo$3710boo1325boo$3713bo$3703bo4boo4boo$3703bo3boo6bo6b
o$3703bobb3obboobbo5bobo$3711boobo6bobo$3722bo1322bo$5044bobo$3717boo
1326boo$3718bo$3718b3o$3708boo$3708boo$$5053bo$5052bobo$5053boo6$5061b
o$5060bobo$5061boo6$5069bo$5068bobo$5069boo6$5077bo$5076bobo$5077boo6$
5085bo$5084bobo$5085boo6$5093bo$5092bobo$5093boo6$5101bo$5100bobo$
5101boo14$5117bo$5116bobo$5117boo14$5133bo$5132bobo$5133boo6$5141bo$
5140bobo$5141boo6$5149bo$5148bobo$5149boo6$5157bo$5156bobo$5157boo6$
5165bo$5164bobo$5165boo4$4824bo$4824boo$4823bobo347bo$5172bobo$5173boo
$$4850bo$4850boo$4849bobo$$5171bobo7bo$5172boo6bobo$5172bo8boo6$5189bo
$5188bobo$5189boo6$5197bo$5196bobo$5197boo6$5205bo$5204bobo$5205boo6$
5213bo$5212bobo$5213boo6$5221bo$5220bobo$5221boo6$5229bo$5228bobo$
5229boo6$5237bo$5236bobo$5237boo10$3158bo$3156bobo$3157boo6$3684bobo$
3675bob3o4bobo$3673boobo4bo5bo$3675boo4bobbobbo$3681bobbobbo1573bo$
3680bo4bo1574bobo$3647bo3boobboobo17bobbo1581boo$3647bo3boo4boboo16boo
$3647bo3boobbooboo$3651boo$3649bobbo129bo3boobboobo$3649bobo17boo111bo
3boo4boboo$3650bo18boo111bo3boobbooboo$3786boo$3631boobbo148bobbo$
3634bobo147bobo17boo$3633bo151bo18boo$3642boo$3635boo5boo19bo13b3o86b
oobbo$3654boo4boo3boo12bo89bobo$3636boo15bobbo3bo5bo11bo89bo1508bo$
3635bo18bobbobboo3bo111boo1497bobo$3633booboo17bobo4bob3o103boo5boo19b
o1478boo$3636boo17b3o7boo122boo4boo3boo$3634bo27boboboo103boo15bobbo3b
o5bo$3663boobo103bo18bobbobboo3bo$3641boo22boo101booboo17bobo4bob3o$
3641boo128boo17b3o7boo$3625bo3boobboobo132bo27boboboo1482bo$3625bo3boo
4boboo24boo133boobo1482bobo$3625bo3boobbooboo25boo111boo22boo1483boo$
3629boo145boo$3627bobbo129bo3boobboobo$3627bobo130bo3boo4boboo24boo$
3628bo131bo3boobbooboo25boo$3764boo$3762bobbo1527bo$3762bobo1527bobo$
3763bo1529boo5$3644boo$3643boboo1654bo$3628boobb5o6bobboo1652bobo$
3628bo7bo11bo1652boo$3628bo4boboo13bo128boo$3632b3o12bobo128boboo$
3648bo114boobb5o6bobboo$3763bo7bo11bo$3763bo4boboo13bo$3767b3o12bobo
1524bo$3635boo146bo1524bobo$3635boo1672boo$$3888bo$3770boo112b4oboo5b
3o$3770boo111boob3oboo4b3o$3884bob3obo7boo$3885bo3b4o4boo1418bo$3888b
oob3o1422bobo$3889b5o13boo1408boo$3890bo16boo$3871b3o$3870bo3bo$3734b
oo134bo3bo$3737boo4bo126bo3bo$3734boob4o3bo135boo1443bo$3731b5o4b4o
127booboo4boo1442bobo$3734b3o6bo128bobbo27boo1420boo$3735bo137bobo23b
oobboo$3734b3o137boo25bo$3741bo12boo115bo3bo22b3o$3741bo12boo114bobobo
bo22bo$3717bobo151bo$3716bo1616bo$3717bobbo158boo20bobo1428bobo$3719bo
bo144bo12boo21bo1430boo$3722bo4boo133b4oboo5b3o$3721b3o3boo18boo112boo
b3oboo4b3o$3721bo16boo7b3o112bob3obo7boo$3719boo19bo5bobbo113bo3b4o4b
oo$3721bo13bo5bo5boobo115boob3o$3719bobbo12bo6bo4bobboo115b5o1469bo$
3719bobo16boobo6bobboo115bo1471bobo$3719bo28booboo1588boo$3735bo14bo$
3712boo12boo11bo$3715boo4bo4boo9bobo$3712boob4o3bo$3709b5o4b4o26boo$
3712b3o6bo26boo132b3o1464bo$3713bo166boo1466bobo$3712b3o158bo5bobo
1467boo$3719bo150boo4bobbo3boo$3719bo145boo5boo3bobo$3865boo7boboobb3o
$3882boobo$$5357bo$5356bobo40b3o$5357boo$5397bo5bo$3873boo1522b7o12bo$
3873boo1524bo17boo$3728boo132bo1536bo3bo13boo$3714boboobo9boboboo127bo
1535bo17boobo$3713bo4b3o9boo3bo128bo5bo1528bo18b3o$3714bo5bo10b3obo
127bo6bobo1527bo4bo11boboo$3715bo3bo13boo127bo3bobbo1530bo4bo11boo$
3716bobo144bobboboboo1527boobobo12bo6boo$3868boboo1526bobo23boo$5399bo
$$3720boo$3720boo1651bo$5372bobo$5373boo$5385b3o$5384bo3bo25b3o15bo$
5385boo29bo10boboboboo$5387booboo23bobbo8bob3oboo$5389boo25booboo6bo5b
oo$5417bo11b4o$3805boo1613bo9boo$3808boo4bo1605bo$3805boob4o3bo1600bo
3bo$3802b5o4b4o1605bo$3805b3o6bo1601bo3boo$3806bo1605boo3boobo$3805b3o
1603bobboo3bo$3812bo12boo1583boo3bo$3812bo12boo1583boobobo$3788bobo
1617b3obboo$3787bo1619b3o$3788bobbo1599boo13boo$3790bobo1598boo9boobb
oo$3793bo4boo$3792b3o3boo18boo1582boobbo$3792bo16boo7b3o1583b3o$3790b
oo19bo5bobbo$3792bo13bo5bo5boobo$3790bobbo12bo6bo4bobboo$3790bobo16boo
bo6bobboo1575boo$3790bo28booboo1575boo$3806bo14bo$3783boo12boo11bo$
3786boo4bo4boo9bobo$3783boob4o3bo$3780b5o4b4o26boo$3783b3o6bo26boo$
3784bo$3783b3o$3790bo$3790bo10$3799boo$3785boboobo9boboboo$3784bo4b3o
9boo3bo$3785bo5bo10b3obo$3786bo3bo13boo$3787bobo4$3791boo$3791boo45$
4966bo$4966boo$4965bobo22$4974b3o$4976bo$4975bo61$5554bobo$5555boo$
5555bo4$5562bo$5560bobo$5561boo44$3720bo$3719bobo$3718booboo$3719bobbo
$3721b3o$3721bobo$3693bo28boo$3692b3o27boo$$3692b3o$3693booboo130bo$
3695bo131b3o$3709boo$3709boo116b3o$3828booboo$3830bo$3693bo150boo$
3686boo4bobo149boo$3676bo3boo4b3o4bo$3676boboobbo6bo$3676bobb5obb5oboo
134bo$3680b3o3b3oboobo127boo4bobo$3679b3o29boo98bo3boo4b3o4bo$3679boo
10b3obobo10bo102boboobbo6bo$3679bo15b3o11bobboo97bobb5obb5oboo23boo$
3695boo11bobo104b3o3b3oboobo23boo$3690boo16bobobo101b3o29boo$3681boo7b
oo18boo102boo10b3obobo10bo$3671bo9boo28bo102bo15b3o11bobboo$3670b3o36b
o120boo11bobo$3703boo120boo16bobobo$3670b3o30boo111boo7boo18boo$3671b
ooboo130bo9boo28bo$3673bo131b3o36bo$3838boo$3805b3o30boo$3806booboo$
3808bo$3671bo$3670bobo$3671bo$$3670boo134bo$3669bobo133bobo$3687bo118b
o$3669b3obobo9boobo$3673b3o9bo119boo$3673boo8b4o117bobo$3684boo136bo$
3686b3o115b3obobo9boobo$3686bo121b3o9bo$3808boo8b4o$3819boo$3821b3o$
3675boo144bo109bo$3675boo253b3o$3929booboo$3928boobobo$3810boo115b3obb
3o$3810boo116bo6bo$3929b5obo$3930b4oboo$3935bo$3934bo12boo$3947boo3$
3915b3o13boo$3778bo65boo67b7o9bo$3777bobo63boo67b9o11bo$3845bo65bo7b3o
$3777bobbo131b3o12boobboboo20boo$3779boo132boo13bobbo23boo$3780bo45bo
89bo10bo4bobo$3794boo30boo89bo13boo3boo$3794boo29bobo90bo12boobboboo
11bo$3909bo19boboo3boo10booboo$3908b3o17booboo3bo$3777boo128booboo7boo
7boobo14booboboo$3765bo13bo126boobobo7boo9bo18bo$3766boboobobo4boo125b
3obb3o33bobbo$3760b3o3b4o3bo3b3o15bo110bo6bo27boo4boo$3766bobbooboo3b
oo16boo5boo103b5obo27boo$3765bo10b3obo14bo6boo104b4oboo$3763b3o11bo3bo
10boobbo116bo$3763b3o13bobbo10booboo114bo$3779b3o12boboo$3780boo11boob
oo$3775boo16bo3bo$3766boo7boo17bobo113bo$3756bo9boo25boo113boobo$3755b
obo$3788boo4boo115bo$3755bobbo30bo118bobbo12bo$3757boo150bo13b3o$3758b
o164boobo$3914boo9b3o$3907b3o5boo8boo$3914boo9boo$3914bo10boo$3755boo
166boobo$3757bo166boo$3756boo$3755b3o$3755boo$3754b3obo154boo$3755bo3b
o11boo140boo$3757bobbo10bobo$3757b3o12b3o$3758boo9boobbo$3769boboo$
3768boobo$3905b3o$$3906bo$3906boob3o$3760boo143bob4o$3760boo143bob3o$
3906b3o$3907bo6bo$3914bobo$3914boo$3904booboo$3904booboo$3905boboo$
3906boo$$3849bo$3848bobo$$3848bobbo$3850boo$3851bo$3865boo$3865boo3$
3848boo$3836bo13bo$3837boboobobo4boo$3831b3o3b4o3bo3b3o15bo$3837bobboo
boo3boo16boo5boo$3836bo10b3obo14bo6boo$3834b3o11bo3bo10boobbo$3834b3o
13bobbo10booboo$3850b3o12boboo$3851boo11booboo$3846boo16bo3bo$3837boo
7boo17bobo$3827bo9boo25boo$3826bobo$3859boo4boo$3826bobbo30bo$3828boo$
3829bo5$3826boo$3828bo$3827boo$3826b3o$3826boo$3825b3obo$3826bo3bo11b
oo$3828bobbo10bobo$3828b3o12b3o$3829boo9boobbo$3840boboo$3839boobo5$
3831boo$3831boo58$5840bobo$5841boo$5841bo24$5866bobo$5867boo$5867bo61$
3830b3o$3831bo$3831bobbo$3831bobbo$3832bobo$3803b3o$3803b3o$3804bo$
3805boo$3806bo131b3o$3805bo14boo9boo105b3o$3820boo117bo$3940boo$3941bo
$3803boo135bo14boo$3792bo10boo150boo$3787bobbobobbo3bo4bo$3787bo4boob
5o4bo15bo$3787bo3bo4bobo4bobo15boo115boo$3802bo16bobo105bo10boo$3789b
3o11bobboo11bobbo99bobbobobbo3bo4bo$3790bo13bo3bo10boobo99bo4boob5o4bo
15bo$3806boo12bobo99bo3bo4bobo4bobo15boo5boo$3806bo13bobo114bo16bobo6b
oo$3801boo17b3o101b3o11bobboo11bobbo$3792boo7boo17b3o102bo13bo3bo10boo
bo$3792boo147boo12bobo$3781b3o31bobbobo120bo13bobo$3781b3o30bo6bo114b
oo17b3o$3782bo32bo5bo105boo7boo17b3o$3783boo31bo110boo$3784bo131b3o31b
obbobo$3783bo132b3o30bo6bo$3917bo32bo5bo$3918boo31bo$3919bo$3781boo
135bo$3781boo$3782bo$3782bo$3781bobo132boo$3780bo135boo$3781bobboo11b
oo118bo$3782bo3bo9bobbo117bo$3784boo13bo116bobo$3784bo11bobbo115bo$
3795b4o117bobboo11boo$3795bo121bo3bo9bobbo$3795bo123boo13bo$3919bo11bo
bbo$3930b4o8bo$3930bo11boo$3786boo142bo10bobo$3786boo2194bobo$4042bo
1940boo$4040booboo1938bo$3921boo117booboo$3921boo117boo$4042boobo$
4043bobbo$4043bobbo$4044boo12boo1932bo$4058boo1933bo$5991b3o$$4042bo$
4025bobo13boboo$4025bobobo9bo$4024bobboobo11bobo$4025boo3bobobo3bobbob
o22boo$4025boo3booboo3bo5bo21boo$4029boboo5bobbooboo$4028bobo8bo3boobo
11b3o$4042b3oboo9bob3o$3950b3o86bo3b4o13bobo$3893b3o6bo49bo88booboo15b
oo$3894boo3boobo48bo68bo9boo8bo17bobbo$3893boo5bobo115booboo7boo26b3o$
3898b3obo115booboo36bo$3901boo115boo32boo$3913boo105boobo28boo$3913boo
106bobbo$4021bobbo$4022boo$3877bo$3876b3o$3875booboo6boo$3874boo3bo6b
oo$3875bobobobo11b5o22bobo97b3o$3876boobobbo10boobo25bo$3879boobo12boo
bo7boo10bo101bobo$3880boo15bobo6boobo10bo100bo$3898boo5boo3bo8bo102bo$
3904bo3boo112boo10b3o$3904bo114boboobo9bobo$3885boo10boo6bobo111b4oboo
8boobo$3885boo10boo121b5o11bo$3871b3o6bo141boo11b3o$3872boo3boobo26boo
125bobbo$3871boo5bobo26boo126boo$3876b3obo$3879boo$$4024boo$4024boo6$
4016b3o$$3881bo3boo133bo$3875boboo3boboobo128bo3boo$3873boobo3bobo4boo
4bo124bobo$3876bobobb3obboo4bobo120b3o$3877bo4boo8bobo122bo8bo$3893bo
132bobo$4016boo8boo$4017boo$3890bo126bo$3888bobbo125boo$3879boo8boo
125boo$3879boo4$3959b3o$3959bobo$3958bo3bo$3958bo3bo$3958bo17boo$3958b
o4boo11boo$3958bo6bo$3959bo5bo$3946bo12boo$3945boo7bo6bo3bo$3944bobob
3obbobo6bobo10boo$3943b3o3boo3bo21bo$3944boboboobobo21b3o6boo$3945boob
oo9b3o22boo$3946bob5obo3bo3bo13bo$3950b4o5bobbo14bo$3961boo13boo$3977b
o$3957boo15b3o$3948boo7boo14bo3bo$3948boo22b3oboo$3972bobob3o$3937b3o
31b3obb3o$3937bobo$3936bo3bo$3936bo3bo$3936bo$3936bo4boo$3936bo6bo$
3937bo5bo$3937boo$3939bo3bo$3940bobo3$3937b3o$3936bo3bo$3937bobbo11b3o
$3939boo12boo$3951boboo$3952bo$3951bo5boo$3950boo$3950boo3$3942boo$
3942boo92$6195bobo$6196boo$6196bo97$3852boo$3851bo$3851bobbo$3849boob
4o$3848bo20b3o$3848bo3b3obbo$3826bo21bobbobbob3o3bobo$3825b3o22boo4b3o
4bo$3824b3obo14bo8boobobo$3823boo3boo6bobbo3bo9boobo14bo$3822boobobboo
6bo3bobbo12bo12b4o88bo$3823booboboo5bo32bo3bo87b3o$3816bo7b3oboo6boboo
28bobbo87b3obo14bo$3815bobo8bo4bo37b3o86boo3boo6bobbo3bo$3814booboo8b
4o20boo104boobobboo6bo3bobbo$3814booboo10bo12boboo5boo12b3o90booboboo
5bo$3813b3o26b3o22bo83bo7b3oboo6boboo$3813b3o3bo23bo22bo83bobo8bo4bo$
3813b3o4bo128booboo8b4o20boo$3814boo5bo127booboo10bo12boboo5boo$3814b
3o7boo122b3o26b3o$3815boo7boo122b3o3bo23bo$3816bo131b3o4bo$3949boo5bo$
3840boo4bo102b3o7boo$3839b3o4boo102boo7boo$3840bob4obo103bo$3841b6o$
3804bo12bobo22bo132boo4bo$3803b3o11boo4boo149b3o4boo$3802b3obo7bo7b3o
150bob4obo$3801boo3boo17bo150b6o$3800boobobboo5bo3boob5o114bo12bobo22b
o$3801booboboo5bobo3b5o114b3o11boo4boo$3802b3oboo9bo119b3obo7bo7b3o$
3804bo4bo7bobo116boo3boo17bo$3805b4o12bo113boobobboo5bo3boob5o$3807bo
12boboo112booboboo5bobo3b5o$3820b3o114b3oboo9bo$3821bo117bo4bo7bobo$
3940b4o12bo$3942bo12boboo$3827boo126b3o$3827boo127bo3$3962boo$3824bobo
135boo$3809boo13bobbo$3809boo11bo4bo$3822bob3o$3821bo137bobo$3822bobo
119boo13bobbo$3822bobo119boo11bo4bo$3957bob3o$3956bo$3817boo138bobo$
3817boo138bobo102b3o$4066bo$4066boo13bo$3952boo112bobbo11bo$3952boo
100bo12bobo11bo$4053bobo11bo$4053bobo10boo14bo$4053bobbo8bobo13bobo$
4054bobo10boo11bo8boo$4057bo6boo14bobbo5boo$4056boo8bo12boobo$4056bo
21b3o$3911bo167booboo$3910bobo166bobboo$3909bo3bo13b3o132boo16b3o$
3909bo3bo8bo130boo7boo17bo$3909bobob3o4boob3o127boo$3910boobobbo5boboo
$3914bobo8bo159b3o$3900b3o11boo11bobbo5boo150boo$3900bobbo23b3o6boo
149bo$3903bo178boo$3900boo138b3o12boo24bobbo$3899bobo142bo10boo25boo$
3900bobb3o138boo$3901boobbo3boo133bobbo$3901bo3bo3boo134bobo7b3o4boo$
3902bobo140bo7bo4bo3boo$3904bo22bo116boo7bo5bo$3902boo22boboobo111bobo
13bo$3925bo4bobo112boo$3926bo5bo109boo10boo$3903bo23booboo112bo14bo$
3903boo154bo$3889bo13boo151boobbo$3888bobo17bo148bobboo$3887bo3bo11bob
ob3o148b3o4boo$3887bo3bo6b5obobobo150bo5boo$3887bobob3o4booboo$3888boo
bobbo5boboo$3892bobo8bo$3892boo11bobbo$3905b3o139boo$4047boo3$4058bo$
3912boo144bobo$3912boo144boo4$4043b3o$3894boo9bo3b3o129b7o$3894boo8bo
bbo3bo128b9o$3908boboo127bo7b3o$3905bo3bo130b3o6bo$3907b3o131boo12bo$
4044bo$4045bo$4046bo$3902boo$3902boo9$3982bo$3981bobo$3980bo3bo13b3o$
3980bo3bo8bo$3980bobob3o4boob3o$3981boobobbo5boboo$3985bobo8bo$3971b3o
11boo11bobbo5boo$3971bobbo23b3o6boo$3974bo$3971boo$3970bobo$3971bobb3o
$3972boobbo3boo$3972bo3bo3boo$3973bobo$3975bo22bo$3973boo22boboobo$
3996bo4bobo$3997bo5bo$3974bo23booboo$3974boo$3960bo13boo$3959bobo17bo$
3958bo3bo11bobob3o$3958bo3bo6b5obobobo$3958bobob3o4booboo$3959boobobbo
5boboo$3963bobo8bo$3963boo11bobbo$3976b3o5$3983boo$3983boo5$3965boo9bo
3b3o$3965boo8bobbo3bo$3979boboo$3976bo3bo$3978b3o4$3973boo$3973boo162$
3814bo$3812booboo$$3815boo$3816bo$3810bo3bo$3787bo26bo3bo12boo$3786b3o
44bo$3786bobbo41boo$3786b3o23bo$3786b3o14boo8b3o106bo$3785boboobo12boo
116b3o$3786bobb3o129bobbo$3786b4oboo128b3o$3787bob3o129b3o14boo$3772b
3o6bo7b3o10bo117boboobo12boo$3771bo4bo3bobo7boo10bo118bobb3o$3771bo4b
oo3bo21bo117b4oboo$3771bo6bo22bobo118bob3o$3772b3obobbobo4boo16bo102b
3o6bo7b3o10bo$3776b5o5boobo116bo4bo3bobo7boo10bo$3781bo4b4o12bobo101bo
4boo3bo21bo$3788bo14boo101bo6bo22bobo7boo$3907b3obobbobo4boo16bo6boo$
3784boo15b3o107b5o5boobo$3775boo7boo14bo3bo111bo4b4o12bobo$3775boo23b
oobbo118bo14boo$3799bo4boo$3765bo33bobbobbo113boo15b3o$3764b3o32bobbo
107boo7boo14bo3bo$3764bobbo37bo104boo23boobbo$3764b3o167bo4boo$3764b3o
133bo33bobbobbo$3763boboobo130b3o32bobbo$3764bobb3o129bobbo37bo$3764b
4oboo128b3o$3765bob3o129b3o$3767b3o128boboobo$3768boo129bobb3o$3899b4o
boo$3900bob3o$3764boo136b3o$3764boobo135boo$3764b4o12bo$3766bo11boboo$
3778bobo118boo$3779bo4bo114boobo$3785bo113b4o12bo$3777boo5bo116bo11bob
oo$3777boo134bobo$3914bo4bo$3920bo$3769boo141boo5bo$3769boo141boo$$
4025bo$3904boo118b3o$3904boo$4024b3o$4025booboo$4027bo$4041boo$4041boo
3$4025bo$4018boo4bobo$4008bo3boo4b3o4bo$4008boboobbo6bo$3872bo135bobb
5obb5oboo23boo$3871bobo138b3o3b3oboobo23boo$3870booboo136b3o29boo$
3870boo16boo121boo10b3obobo10bo$3876boo9bobbo120bo15b3o11bobboo$3870b
3obbo12bobbo135boo11bobo$3874boboo144boo16bobobo$3872bobbo137boo7boo
18boo$3865bo9bo11bo115bo9boo28bo$3857b3o3b4o6boo11boo3bo110b3o36bo$
3857bobo3booboo19bo3boo142boo$3857b3obbo10bo13boboboo3boo104b3o30boo$
3862boo3bo3booboo11bo3boo3boo105booboo$3863b4o7bo13b3o114bo$3864b3o4bo
16b3o$3873bo$$3869boo$3860boo7boo16bo115bo$3860boo24b3o113bobo$3885boo
bbo113bo$3884boobboo$3850bo37bo113boo$3849bobo38boo109bobo$3848booboo
37boo127bo$3848boo151b3obobo9boobo$3854boo149b3o9bo$3848b3obbo151boo8b
4o$3852boboo160boo$3850bobbo164b3o$3853bo9bobboo150bo$3851boo8boo5bo$
3868bo$3851bo$3849booboo9bo3bo139boo$3852bo10bo143boo$3849bo14bo$3851b
o11b3o$$3868bobo$3869bo3bo$3862boo4bo3bo$3862boo4bo130b3o$3998bo3bo$
3998bo3bo$3854boo142bo3bo$3854boo154bo$3999booboo6bobo$4000bobbo6boo$
4001bobo$4002boo$3999bo3bo$3998bobobobo$3999bo6$3943bo$3942bobo$3941b
ooboo$3941boo16boo$3947boo9bobbo$3941b3obbo12bobbo$3945boboo$3943bobbo
$3936bo9bo11bo$3928b3o3b4o6boo11boo3bo$3928bobo3booboo19bo3boo$3928b3o
bbo10bo13boboboo3boo$3933boo3bo3booboo11bo3boo3boo$3934b4o7bo13b3o$
3935b3o4bo16b3o$3944bo$$3940boo$3931boo7boo16bo$3931boo24b3o$3956boobb
o$3955boobboo$3921bo37bo$3920bobo38boo$3919booboo37boo$3919boo$3925boo
$3919b3obbo$3923boboo$3921bobbo$3924bo9bobboo$3922boo8boo5bo$3939bo$
3922bo$3920booboo9bo3bo$3923bo10bo$3920bo14bo$3922bo11b3o$$3939bobo$
3940bo3bo$3933boo4bo3bo$3933boo4bo3$3925boo$3925boo!

The adjustments for the glider pairs are a bit fiddly, and a backward-glider-to-two-sideways-gliders convoy might have to be rebuilt to get a desired glider spacing. There is also a slight limitation on the generation of the glider pairs due to their interaction with the boat trail.

This is not packed at all, since possibly the whole object could be constructed and that would be easier if the components were separated a bit. But I am not sure if anyone will try to create a recipe for this.

I don't know much about the requirements of single-channel constructions. So don't know what the spacing within a glider pair is needed, or how many different glider pair spacings are required.

BCNU,
-dbell

[dvgrn]

I don't know much about the requirements of single-channel constructions. So don't know what the spacing within a glider pair is needed, or how many different glider pair spacings are required.

Offhand I don't know either! This particular type of construction arm hasn't been seen since 2015 when the 0hd Demonoid was constructed, before simeks invented regular single-channel recipes.

With 0hd-style recipes, construction-arm operations consist of pairs of gliders on the same lane, separated by some number of ticks. The separation between gliders in a pair is usually smaller than 90 ticks. Separations between pairs of gliders are usually fixed, plus or minus one tick. E.g., if the recovery time of the circuitry was 575 ticks (based on a Callahan G-to-H, let's say) then sometimes it's useful to send a new pair of gliders after 576 ticks instead of 575, to hit a P2 intermediate target at a different phase.

With single-channel recipes, gliders don't necessarily come in pairs; the only rule is that they must be separated by at least 90 ticks. In practice, existing recipes (used by slsparse and everywhere else) only have gliders in slow pairs and singletons -- but that's just due to an arbitrary limitation in simeks' original search code. We don't have any construction-arm circuitry that would actually fail if we fed it glider triplets instead of pairs. (!)

New possibilities for replicators
It looks like your memory loop design can support singleton gliders as well as glider pairs with different timings. So ... if you can show that your design can reproduce a minimal universal set of single-channel salvos such as this one, then that's a mechanism that could maybe ultimately support a completely new type of replicator -- one where the bits in the replicator's memory loop are often stationary but the circuitry is in constant motion ... instead of the other way around, with stationary circuitry but moving gliders holding the construction data.

We're not there yet, though. The very tricky unsolved part would be inventing some (probably stationary) self-destructing circuitry that could accept a copy of the backwards glider stream and write it back out in Cordership memory-loop form, before activating a big seed for the Cordership flotilla that reads that data.

Designing a Cordership-flotilla seed is also tough, but I think I'd rather do that part than the construction salvo re-encrypter. Maybe it could be done more easily by including an initial construction section followed by a data-stream section that is only intended to be aimed at the re-encrypter -- during the construction stage it could just be harmlessly absorbed by an eater. But quite possibly that would just make things more complicated overall.

New possibilities for construction-arm efficiency
Leaving aside replicators for the moment, it seems possible that this storage mechanism might enable a new type of single-channel recipe that's more efficient than anything we have now.

The 10hd and 0hd Demonoids managed an encoding efficiency of about 8 or 10 input gliders per output glider for their construction arms. Current single-channel technology is still a little over 20 inG/outG, I think -- less than half as efficient.

Is there a likely way to set up a backward-firing Cordership flotilla, that generates pairs of gliders on two different lanes, instead of all on the same lane -- 10hd separation, let's say? That would get us back up to the efficiency of the old 10hd glider-pair construction arms.

Then there are various possibilities for improving efficiency even further. Those mostly require doing all-new searches for construction arm recipes, though, and people have been avoiding writing the necessary search code for a while now.

Meanwhile, we should at least be able to put together a backward-firing Corderfleet puffer that puffs arbitrarily complex constructed objects.

[dbell]

While investigating sparking Corderships, I found a couple of period 288 puffers. This is the simplest of them.

Code: Select all

#C A diagonal c/12 period 288 (96 * 3) puffer.
#C This leaves honey farms and blocks.
#C David I. Bell, 18 October 2025
x = 154, y = 95, rule = B3/S23
54bo$53bobo$52booboo$53bobbo$22bo32b3o$22bo32bobo$24bo5bo25boo$23bo6bo
bo23boo$22bo3bobbo$23bobboboboo$28boboo43bo$42boo30bobo$42boo30bobo$
75bo$$70boo7boo$5b3o61bobbo5bobbo$5b3o7boo53boo7boo$4bo3bo6boo$5boob3o
11b3obbo47bo$5boo4bo10b4obo6boo38bobo$8bobbo13bo21boo25bobo$9boo15bobo
7boo8bobo26bo$27boo3bo4boo9bo$37bo$33b4o$o13boo10boo7bo$o13boo10boo$bb
o5bo$bo6bobo25boo$o3bobbo28boo$bobboboboo$6boboo$84boo$84boo13bo$98bob
o$98bobo$99bo$$94boo7boo$93bobbo5bobbo$94boo7boo$$9boo3bo84bo$7b3o4boo
82bobo$bb3obo8boo5bo75bobo$6bobobb5o5bobo75bo$7bo3b3o7bobo$22bo$$17boo
$$18boo$8boo9bo$8boo3$108boo$108boo13bo$122bobo$122bobo$123bo$$118boo
7boo$117bobbo5bobbo$118boo7boo$$123bo$122bobo$122bobo$123bo11$132boo$
132boo13bo$146bobo$146bobo$147bo$$142boo7boo$141bobbo5bobbo$142boo7boo
$$147bo$146bobo$146bobo$147bo!

I thought that if I could cause a phase change in the puffer, then I could make a period tripler convoy having a fixed size. Today I found an impact that does this.

Code: Select all

#C A diagonal c/12 period 864 (96 * 9) dirty puffer.
#C This uses a period 288 rake which whose gliders impact onto a
#C period 288 puffer to cause phase changes, resulting in a
#C period tripling reaction.
#C David I. Bell, 18 October 2025
x = 150, y = 259, rule = B3/S23
106bo$105b3o$104boobbo$103boobboo$104boo$105b5o$109boo$107bobbo$108boo
12boo$122boo4$106b3o$106bobo$106bo$106bobbo20boo$106bo3bo19boo$109boo$
106boo3bo$88b3o15b3obo$87bo14boo6bo$86bo4boo9b3o$85bo3bo10bob3o11bo$
85bobbo4bo4boo15boboo19boo$77bo7bo3bo3bo4boo14bo6bo7bo8boo$76b3o7boobo
b3o19b4o4bo6b3o$89bo23boobbo3bo$76b3o11b4o18boo5boo7b3o$77booboo10boo
11boboo3bo16booboo$79bo25bo25bo$107boo$106b3o$93bo12bobo$93bo12bobo$
77bo15bo13bo21bo$76bobo49bobo$77bo17bo33bo$94bobo$76boo17bo32boo$75bob
o49bobo$53bo$53bo21b3obobo45b3obobo$53bo25b3o49b3o$56boo21boo50boo$56b
oo12boo$51bo3b3o11boo48b5o7bo$52b3o15bo46boo5boo4bobo$53bo15b3o45bo7bo
4bo9boo$52boo15b3o45boo7bo3bobbo6boo$52b3o16bo47boo6bo3b3o$54bo14bobbo
8boo39bo$52bo16b3o5boobboo39bo4bo$54bo15bo6boo44boobo$52b3o$$148boo$
148boo$49boo17bo$39bo3boo4b3o13booboo19boo$39boboobbo6bo13bobo16boobb
oo47bo3bo$39bobb5obb4o11boo19boo49bobbob3o$43b3o3b3o12bo74bobobo$42b3o
32bo32bo26bo$42boo17boo13bobo30b3o24boo$42bo18boo12booboo28booboo14boo
8bobo3bo$75booboo29b3o9boo4boo8bobo$74b3o20boo11bo10boo5boo$23bo30bo
19b3o3bo16boo11bobo$18bobbobobbo3bo22bobo18b3o4bo28b4o8boboo$18bo4boob
5o22bobo19boo5bo30bo7boobo$18bo3bo4bobo24bo20b3o46boo$76boo31booboo8bo
$20b3o54boo29bo5bo$21bo87bo3bo$105boo3bo$77bo27boo$76b3o$75bo3bo$79boo
$42bo35boo$41bobo$41bobo24bo$42bo24boo7bo$37b3obo24bobob3obbobo$36boob
4o22b3o3boo3bo$25boboo7boobobobo22boboboobobo$21b3oboobo9bobbobo23boob
oo$22bo3bobo13bo25bob5obo20boo$23bo3bo22boo20b4o21bobo$49bobbo45bo$50b
oo73bo$124bo$124b3o$28boo$28boo$$58boo$38b3o16bobbo10bo43b3o$58boo14bo
6bobo31bo$40bo28bo11bobobo30bo$38bo29bo3bobbo10boo$37bobb3o26b3obbo10b
o$37boob3o27bo3bo17boo$38b3o31boo18boo19boo$39bo26boo4bo40bobo$65bobbo
45bo$66boo48$93bo$92bo$92b3o48$55bo$54b3o$$23bo30b3o$22bobo30booboo$
57bo$22bobbo3bob3o$24bo4bo$25boboobobo33bo$26boo3bo33bobo3boo$27bo15b
oo20boo4boo$43boo$$55boo$55boo$54boo$6booboo5boo11bo25boo12boo$6boo8b
oo10b4o23boo12boo$6boobobo11boo3b5o23bo$9bobo11boo3boo3bo$10boo16b9o$
28b4oboobbo9boo$34bobbo10boo$35b3o9bo$$bo13boo10boo$obo12boo11bo$$obbo
3bob3o25boo$bbo4bo29boo$3boboobobo$4boo3bo$5bo9$12bo$12b3o$4bo6bo3bo$
4bo3b3o4bo$4bo3b3oboboo6b3o$8boo3bo8b3o$$18bobo$18bobbo$$19b3o$9boo$9b
oo!

Taming the dirty output was a bit of work, but here is the result which is not too bad.

Code: Select all

#C A diagonal c/12 period 864 (96 * 9) sideways rake.
#C This shows the output of a period 288 sideways rake being period
#C tripled by a convoy of Corderships.  The input rake can be replaced
#C by rakes of other periods to period triple them too.  When this is
#C done you must run the rake a few cycles to flush out the old state.
#C The direction of the output gliders can be changed by flipping over
#C the last Cordership in the convoy with respect to the blocks that
#C trigger its emission of a glider.
#C David I. Bell, 18 October 2025
x = 473, y = 1070, rule = B3/S23
170bo$170bo$172bo5bo$171bo6bobo$170bo3bobbo$171bobboboboo$176boboo$
190boo$190boo6$178bo$177bobo18boo$177bobbo17boo$178boo$$145bo11bobo14b
oo21bo$144boo10bobbo14boo20boo$143boboo10bobo35boboo$143bobboo47bobboo
$141b4ob3o17boo25b4ob3o5boo$140bobbobobboo9bo5bobbo23bobbobobboo4boo$
141bobobob3o8boboo4boo15bo9bobobob3o$142boob3obo8boboo20bo11boob3obo$
142b4obbobo6bo3bo32b4obbobo$145bo3bo8b4o35bo3bo$145bo3bo8b3o36bo3bo$
145bobbo48bobbo$172boo3boo$161bo13bo$161bo9boob3oboo$161bo9b3obob3o$
146boo50boo$163bo35boo$162bobo32b5o$121bo41bo33b6o$119booboo74boobbo$
151boo47b3o$122boo26bobbo45bo$123bo19b3o4bobboo44bobo$117bo3bo15boo10b
obboo43boobbo$121bo3bo11boo10b4o31bo13b3o$183bobo$182bo3bo7bo$119bo62b
o3bo5booboo11boo$120b3o59bobob3o6bo12boo$183boobobbo4b3o$138bo10boo36b
obo$120b3o13bobo6boobboo36boo$120b3o13bobo6boo$120booboo12bo$124bo12b
oo$122b3o12boo77boo$211boo3boo$118boo90boboo$114boo3bo37boo50boobobo$
103b3o7bo6bo24bo7boobboo50bobboboo$106b3o5bo3b5o11bo9b3o6boo23bo34boo$
106b3o6bo3bo13b3o7boobbo29bobo26bo3b4o$107bo11bobbo7bobobbo6boobboo28b
ooboo24bo$120boo8b3o10boo31boo27b3o$130bo13b5o33boo$148boo26b3obbo$87b
3o56bobbo15boo13boboo$85b7o6bo23bo24boo16boo11bobbo$84b9o4bo23bobo57bo
$83bo7b3obboo23bobo55boo$84b3o6bo3bobbo21bo$85boo11b3o78bo$88bo10bo45b
3o29booboo$89bo55bobo26bobo3bo$90bo54bo27bob3o$145bobbo24bobo3bo$146bo
bo$147b3o$149boo$143b3o4boo$110boo37boo$109bobbo$110boo24bo$132boobobo
7boo$94boboo34bobbooboobbooboo$88boo4bobo3bo31bo5bobo5bo$88boo6booboo
32boobbo8bo$137bobb3obbo$118boo17b3o$117bobbo$118boo3$96boo92bo$96boo
91bo$173boo14b3o$126boo45bobo$125bobbo23bo3boo16bo$126boo12bobbo6boob
ooboo$139bo3b3o3bo7bo$138boobob4o3bo6boo$146boo4boobboo$136bobboo11boo
bboob3o$136bobboboo17boo19boo$142bo38bobo$136bo45bo$134bo$135bo18$174b
o$173bo$173b3o94$126bo$125bo$125b3o94$78bo$77bo$77b3o3$103b3o$103bobo$
103bobo14boo$103bo4boo9bobbo$102b3o3boo10b3o$90bo17bo12boo$104b4o13bo$
94bo10boo12boboo$105bo13b4o$86b3obo28bobobo$86b3obo15bo13booboo3boo$
87bo8boo6bobo12bo3bo4boo$88bo3b3oboo5b4o13b3o$89bo6bo6b3o15bo$90bobobo
bo8b3o$91bo15boo$107boo$$118b3o$119bobo$118bobbo$51b3o64bobbo$23b3o92b
obo$24bo30boo61bobbo$24bobbo29bo61boo$24bobbo23b4obo6bo33b3o20bo$25bob
o23b5o6bobo3boo25bo3boo$40boo20boo4boo19b3o3bobobboo6bobo$40boo52bo5bo
7bobbo$51bobo41bobboo7bo3bo$51bobo41bo12bobbo$24bo27bo55b3o$23bobo25bo
bo$11boo3b4o4bo27boo12boo33b3o$6b3obobbo6bo19bobo9bo13boo4boo29bo$10bo
bbobb5o27boo21bobbo20boo$10bobbo8b4o17bo4boo22boo21boo4b3o$12bo9boo3bo
10bo3bo59boo$9bobo11bo4bo9bo4bo56boboo$10bo14boboo11bo58bobb5o$26bo12b
oobboo54bobbob3o$21boo16bobo63boo$12boo7boo18boo34boo$12boo25bobbo33bo
bbo$b3o35bobo34bobbo$bbo31boo41boo$bbobbo28boo$bbobbo$3bobo$76b3o$88bo
$65boo20bobo$65boo20boo$bbo$bobo$bbo67b3o$154bo$83boo$4o78bobbo64bo7bo
$oo3bo11boo63bobo65bo8bobb3o$bo4bo12bo63bo65bo4boo3bobb3o$3boboo8bobob
3o128bobo6bobboobbo$4bo10bobboo46boo82boboo10bobo$14bo3boo46boo96b3o$
16b3o136bo18boo$98boo74boo$98boo3$6boo128bobo$6boo127bobbo$116boo18bob
o$116boo34boo$106boo44bobo$42bo63boo30bo13b3o$38b4oboo5b3o84boboo11bo
bbo27bo$37boob3oboo4b3o84boboo12bo23bo$38bob3obo7boo82bo3bo12bo23bobb
3o$39bo3b4o4boo84b4o36boo3bo$42boob3o89b3o15bo22bo3bo$43b5o13boo89bo
29bo$44bo16boo89bobbo$151b3o$31bo50bo68b3o$82bo33bo34bobbo$35bo46bo33b
o35bobo$116bo35b3o$27b3obo63b3o$27b3obo37boo41b3o3b3o$28bo8boo18b3ob3o
5boo22bo47boo$29bo3b3oboo10bo6b4obobbo28bo22bo14boo8boo$30bo6bo8boo4bo
bbobo35bo22bo14boo$31bobobobo3boo5boo3bo10bo51bo78bo$32bo8boo7boboo3b
3o35b3o96b3o$58boobboo129boobbo$103b3o86boobboo$130boo61boo$101bo5bo
22boo17boo43b5o$101bo5bo32boo7boo47boo$101bo5bo32boo54bobbo$197boo12b
oo$103b3o105boo$74bo$38b3o32b3o15bo$36bo3boo30booboo14bo$30b3o3bobobb
oo28boo3bo7b4o3bo46boo$35bo5bo30bobobobo5bo3bo49boo4boo$36bobboo32boob
obbo4boo3bo53bobbo$36bo39boobo7b3o54boo30bo3boobboobo31boo$77boo10boob
o6boo75bo3boo4boboo29boo$90b3o6boo75bo3boobbooboo$91bo88boo$178bobbo$
36boo140bobo34boo$36boo61boo48boo28bo34bo$66boo31bobo46bobbo59boobboo$
67bobbo4bo23bo3b3o42bobbo59boo$64bobb3obobbobo22bobo3b4o40boo$64bobbo
4b4o23bobo3b4o$64bobbo30b3ob3o104bo$67bo6bo24boo103b7o$66boobo9boo13b
oo52b3o58boo$74bo4boo13boo64bo35bo10boo$72boo63boo20bobo33bobbo4bo3bob
o$93bo43boo20boo33bo4bo4bobobbo$92bobo84boobb5o6bo4bo7bobo$92bobo84bo
7bo6bo4b3oboo$142b3o34bo4boboo7boboboobbobobbo$183b3o10bobo4bo$155boo
41bobbo3bobo$154bobbo41boo$105boobbo44bobo$83bo24bobo44bo$83bobo21bo
16bo61boo$67bobbo12b3o38bo13boo46boo$68b3ob3o10bo23boo13bo13boo$68boob
obo$70b3o37boo12boo44boo25boo32bo$71boo36bo13bobbo43boo59bo$107booboo
11bobo6boo63boo34bo5bo$110boo10boo8boo63b3o32bo6bobo$108bo13bo73b3o32b
o3bobbo$74boo49boo67b3obbo32bobboboboo$74boo49boo61boo5bobo39boboo$
125boo61boo6boo53boo$122boobo52boo17bo53boo$100bo22b3o52boo$96b4oboo5b
3o13bo$95boob3oboo4b3o23boo$96bob3obo7boo21b6o$97bo3b4o28b3obbo$100boo
b3o3bobbo23b3o88bo$101b5o3boo17b3o82boo7boobbobo30boo$102bo7bo19bo82b
3o6b4o3bo29boo$130bo82boobobo7bo$126boboo86boo10boboo$125boo61bo39bobo
$188bo40bo26bo$188bo66boo$142b3o22b3o$184b3o3b3o59bobbo$115b3ob3o21bo
15boo4bo86bobbo$107bo6b4obobbo20boob3o10boo4bo22bo14boo42bo4b3o$104boo
4bobbobo26bob4o11boo4bo22bo14boo43bo$99boo5boo3bo10bo19bob3o41bo57bob
oo$99boo7boboo3b3o25b3o15bo5b3o76bo3bo$116boobboo22bo14boobbo78boobo$
158bo4bo11b3o59boo4boobbobbo$157bo44boo22bo10bo11bo$141booboo15boo4boo
10bo22boo14boo6bo5bo3bobbo$141booboo12booboo4boo10bo32boo4boo12bobbo3b
oo$142boboo14bo18bo32boo17bobo4bob3o$107boo34boo89boobobboo19bo$107boo
131boo17booboo$129bo110boo19bo$128b3o109bo35boo$127b3obo26b3o114bobbo$
126boo3boo24bo3bo48boo14boo34boo11booboo$125boobobboo24bo4bo47boo4boo
8boo33bobbo11bo$126booboboo25boo19bo35bobbo29bo11boo3bo10b3o$127b3oboo
27boobo13bobo36boo29b3o10bo4bo19boo$129bo4bo23b3ob3o8boobbobo80bo3bo
20boo$130b4o24boo4bo82b3o11bobbo$132bo26b6o83booboo9bo$160bo17bo71bo$
162bo14bobo84boo12bo$221boo41boo8bo3bo$154bo3bobbo15bobbo39bobbo51bobb
o$153bobo3boo18boo39bobbo51booboo$152bo6bo20bo40boo25bo27bobo$153b4o
37boo51bobo27bo$153boobobbo34boo52bo$154bob3o$154bobobo61b3o24boo$134b
oo13boo26boo53bo13bobo$134boo12bo30bo29boo20bobo31bo$148b3o27boo29boo
20boo13b3obobo11bo$148boo27b3o70b3o13boo$148bo28boo23boo46boo14boo$
176b3obo21boo10b3o50bo$177bo3bo82bobbo19b3o$179bobbo44boo35bobo$142boo
35b3o44bobbo32boo21bo5bo$142boo22bo13boo13bo30bobo32bo23b7o12bo$163b4o
28boo30bo35bo23bo17boo$195boo55boo5b4o24bo3bo13boo$197bo54boo4bobbo24b
o17boobo$196bo61bobbo13bo11bo18b3o$166bobo24boobo62b3o12b3o11bo4bo11bo
boo$167bo24boo48boo29boobbo10bo4bo11boo$165boo25bob3o45boo28boobboo9b
oobobo12bo6boo$165bobbo25bo3boo73boo11bobo23boo$164booboo25bo5bo73b5o
8bo$200bo59boo16boo$191boo3bobo61boo14bobbo$191boo15bo68boo12boo$192bo
12b4o82boo$190boo58boo$190boo30b3o25boo$190bo111b3o$188boo18bobo12boo
50b3o26bo$188b3o18bo13boo50bobo25b3o$207boo13bobbo49bo$169boo15bo20bo
bbo11bo8boo42bobbo$169boo15boo18booboo10b3o7boo43bobo$187boo32boo54b3o
$187bo36boo53boo$182b3obo36bobbo46b3o4boo$182b3o75bo18boo14boo$221boo
37bo33bo20b3o$196b5o7bo12bobbo35bo30boobboo18bobo$177boo15boo5boo4bobo
12b3o66boo22bobo14boo$177boo15bo7bo4bo24bo3bo19b3o3b3o50bo4boo9bobbo$
194boo7bo5boo25boo76b3o3boo10b3o$196boo6bo4boo21bo5bo21bo28bo12bo17bo
12boo$199bo8boo18bo4b5o22bo18boo3b7o25b4o13bo$199bo4bo3b3o17boo6bo23bo
18boo3bo4boo15bo10boo12boboo$200boobo4boo19boo54boboo28bo13b4o$229bo
59bo8b3obo28bobobo$224b3obo57bobbo8b3obo15bo13booboo3boo$224b3o47boo
10bobbo9bo8boo6bobo12bo3bo4boo$274boo10b3o11bo3b3oboo5b4o13b3o$287boo
12bo6bo6b3o15bo$241bo45boo13bobobobo8b3o$215bo3bo20bobo44boo14bo15boo$
213bobbob3o18booboo75boo$216bobobo18boo16boo$204bobo7bo30boo9bobbo70b
3o$198boo4b3obobooboo24b3obbo12bobbo70bobo$198boo6bobboo3bobo3bo22bob
oo35boo46bobbo$214bobo24bobbo37boo4boo40bobbo$244bo11bo30bobbo39bobo$
242boo11boo3bo27boo40bobbo$256bo3boo69boo$242bo13boboboo3boo42b3o20bo$
240booboo11bo3boo3boo40bo3boo$206boo35bo13b3o41b3o3bobobboo6bobo$206b
oo32bo16b3o46bo5bo7bobbo$226boo14bo50boo12bobboo7bo3bo$225bo31bo34bobb
o11bo12bobbo$225bobbo28boo33bobbo24b3o$223boob4o26boobo33boo$222bo36b
oo52b3o$222bo3b3obbo23bobo3bo53bo$222bobbobbob3o22b7o45boo$224boo4b3o
23bobo3boo28b3o12boo4b3o$226boobobo29b3o40bo9boo$227boobo32bo39bobo6bo
boo$230bo26bo4bo40boo6bobb5o$257bo4bo48bobbob3o30bo$258b3o56boo29b3o
15bo$347booboo14bo$251bobo3bo88boo3bo7b4o3bo$250bobbooboboo39boo46bobo
bobo5bo3bo$251bobobobbo39bobbo46boobobbo4boo3bo$255bobbo39bobo50boobo
7b3o$254boobbo40bo52boo10boobo6boo$252b4obbo106b3o6boo$256boo108bo$
232boo102b3o$232boo11bobo17boo$245bobbo15bo49boo24boo$245bobbo15bobbo
46boo26bo10b3o$246boo14boob4o67b4obo11bo$261bo20b3o51b5o$261bo3b3obbo$
261bobbobbob3o3bobo75bobbo21bobbo$240boo21boo4b3o4bo59bobo14boboo21bo
bbo$240boo23boobobo65bobo14bobbo21booboo$266boobo14bo6boo29boo13bo15bo
bo25boo$269bo12b4o5boo29boo12bobo14b3o26boo$281bo3bo51boo$281bobbo52bo
$282b3o6bo$290boboob3o$292b4o$289b3obbo4boo$260boo3b4o27bo55bo22bo$
255b3obobbo6bo23boo4boo49booboo19bobo$259bobbobb5o25b3o52b3oboo18bobb
oo$259bobbo69bo18b5o16b7o14bo$261bo9boo59bo8boo9b3o16bobbo3bo14bo$258b
obo10boo11bobo45bo8boo10bo16b3obb7o11bo$259bo24bobbo84b3obbo8bo$284bo
bbo40b3o3b3o36booboo8bo$285boo87b3obobbo$332bo42b3oboo13boo5boo$332bo
45bo13boobo5boo$332bo31bo26bo3bo$349boo11booboo24bobboo$349boo14boo25b
3o$275bobo84b3o15boo11bo$274bo3bo67boo16bo3bo10bobbo$264b3o7bo4bo66boo
15bo3bo$259boo3b4o6bo4bo84b3obo$258boo3bo4bo6bo3bo86boo$263booboo7bobb
o86bobo10boo$263b4o99bo11b3obboo$264bo100boo12bo$364b3o11boo5bo$364bob
oo11bo4bo$354boo7b5o11bo$266boo86boo24bobo$266boo113bo3$378b3o27bo$
378b3o27bo$381boo25bo$377b3obbo22bob3obo$405bob5o13bo$368boo12bo26bobo
12bobo$368boo7boo3bo23boo19bo$378bobbo24boo16bo3bo$379bobo12b3o10bo16b
o$393bobbo10boo16bobbo$392bo4bo10bo3boo10boobo$392bobb3o10bo16boo5boo$
392bo5bo7boboo22boo$376boo15b7o7bo$376boo21bo$399bo$397boo12boo$411boo
$$423bo$396bo26boo$395bobo24bo$394boobo25b3o$394boo28bo$395b3o$396bo$
370boo25bobbo$370boo22bo6bo$394bo6bo$394bo4b3o13bo$414bo$411b3obo$411b
oo$$443bo$405b3oboo32bo$399boo3b4o37bo5bo$399boo3bo5bo33bo6bobo$408bob
o32bo3bobbo$406boobo34bobboboboo$408b3o38boboo$405boobbo53boo$406bobbo
53boo$409bo$406bobbo$407boo$426b3o$426b3o7boo$425bo3bo6boo$426boob3o
11b3obbo22boo$400b3o3b3o17boo4bo10b4obo6boo14boo$429bobbo13bo21boo$
404bo25boo15bobo7boo8bobo$404bo43boo3bo4boo9bo$404bo53bo$454b4o$421bo
13boo10boo7bo$421bo13boo10boo$423bo5bo$422bo6bobo25boo$421bo3bobbo28b
oo$422bobboboboo$427boboo11$430boo3bo$428b3o4boo$423b3obo8boo5bo$427bo
bobb5o5bobo$428bo3b3o7bobo$443bo$$438boo$$439boo$429boo9bo$429boo47$
412bo$411bo$411b3o286$268bo$267bo$267b3o!

Not all periods can be period tripled by this convoy. I don't understand this yet, but it seems that exact powers of two do not seem to work, but other periods I have tried do work. (A power of two can be easily period tripled by interacting with a period 288 rake. After it has one factor of three in the period, then the period tripling convoy can add another.)

Here is an example of a cascaded tripling reaction.

Code: Select all

#C A diagonal c/12 period 4320 (96 * 5 * 9) sideways rake.
#C This uses a period 480 sideways rake whose output is passed through
#C two period tripling convoys in series.
#C David I. Bell, 18 October 2025
x = 787, y = 1238, rule = B3/S23
75bo$75bo5b3o$74bobo3boobbo$75bo3bo5bo$75bo3bo$80bobboo$81boo11boo$94b
oo$$58bo$57b3o$56b3obo$55boo3boo5boo7bo$54boobobboo5boo6b4o$55booboboo
12bobboo$56b3oboo12bo13bo$58bo4bo11b3obo8boo$59b4o14bobbo5bobboo$61bo
16b3o5bo3bo$85bobobbo$85boo$66boo10boo$53bo12boo10boo$53bo5b3o$52bobo
3boobbo25boo$53bo3bo5bo24boo$53bo3bo$58bobboo$59boo9$66bo$56boo9boo$
55bob3o8boo$55bo3bo10bo3bo$56boobo5b5o3bobo$57bo10bo4bobo$74bo4$71bo$
60boo9bo$60boo5$129bo$129bo5b3o$128bobo3boobbo$60bo68bo3bo5bo$129bo3bo
$64bo69bobboo$135boo11boo$56b3obo87boo$56b3obo$57bo8boo44bo$58bo3b3ob
oo43b3o$59bo6bo43b3obo$60bobobobo42boo3boo5boo7bo$61bo15boo29boobobboo
5boo6b4o$77boo30booboboo12bobboo$110b3oboo12bo13bo$112bo4bo11b3obo8boo
$113b4o14bobbo5bobboo$115bo16b3o5bo3bo$139bobobbo$139boo$85boo6boo25b
oo10boo$85boo6bobo11bo12boo10boo$67b3o23bo13bo5b3o$47b3o15bo3boo35bobo
3boobbo25boo$47bobo9b3o3bobobboo35bo3bo5bo24boo$47bobo14bo5bo36bo3bo$
47bo4boo11bobboo42bobboo$46b3o3boo11bo47boo$52bo$48b4o$49boo$49bo45boo
$95boo$50bo$48bobo$47b4o$47b3o70bo$49bo60boo9boo$109bob3o8boo$109bo3bo
10bo3bo$110boobo5b5o3bobo$111bo10bo4bobo$128bo3$52boo15bo$52boo13boob
oo53bo$114boo9bo$66boo46boo$65boo$64bobo$63b3o$63b3o$60boo3bobboo$60b
oo5bo74$80bo$79bo$79b3o5$103b3o$$101bo5bo$101b7o12bo$103bo17boo$103bo
3bo13boo$102bo17boobo$91bo11bo18b3o$90b3o11bo4bo11boboo$89boobbo10bo4b
o11boo$88boobboo9boobobo12bo6boo$89boo11bobo23boo$90b5o8bo$94boo$92bo
bbo$93boo12boo$107boo3$118b3o$91b3o26bo$91bobo25b3o$52bo38bo$51bobo37b
obbo$23b3o24bo3bo37bobo$23bobbo24bobo9bo29b3o$26bo25bo9bobo3boo25boo$
23boo15boo20boo4boo19b3o4boo$22bobo15boo10b4o39boo14boo$23bobb3o22bo4b
o53bo$24boobbo24bo53boobboo$24bo3bo21bo3bobbo49boo$10bo7bo6bobo10bobo
9bob3obo$9b3o5bobo7bo12bo10b3obo10boo$8boob4obbobbo3bobbo16bo21boo13bo
23bo$9b3obbo9bo13b3o7boo30bobo12boo3b7o$10bobboobbo21boo7boo30bobo12b
oo3bo4boo$14boobobo3boobbo11boo40bo19boboo$18bo5b3o13boo63bo$41bo34boo
7boo15bobbo$75bobbo5bobbo14bobbo$21boo16bo36boo7boo15b3o$12boo7boo15b
3o62boo$12boo23booboo39bo21boo$36bo4bo38bobo20boo$36b4obbo37bobo$b3o
33boo4bo37bo$bobbo$4bo36bobo$boo$obo$bobb3o$bboobbo$bbo3bo$3bobo$5bo$
bbobbo$bbo87boo$90boo70bobo$boobbo10bo136bob3o4bobo$bb3o12bo133boobo4b
o5bo$15bobo135boo4bobbobbo$15b3o141bobbobbo$20boo136bo4bo$22bo131bobbo
16boo$14boo4boo76boo55boo17boo$14boo82boo13bo$112bobo$112bobo20bo$6boo
105bo20boboo$6boo130bo$108boo7boo13bo3bobbo$107bobbo5bobbo10bo9bo11b3o
27boo$108boo7boo11bo4boobboo41boo$139boo$39bo3boobboobo62bo18bo5bo$39b
o3boo4boboo59bobo18bo4b3o38b4o$39bo3boobbooboo60bobo19bo4boo12b3o22bo$
43boo68bo22b4o12booboo21bo4bo$41bobbo106boboboo21bo$41bobo17boo88bo3bo
18b3o4b3o$42bo18boo89bobbo$152b3o19bo$175boo$$32bo$31b3o$30boobbo$29b
oobboo34boo$30boo26boo9boo51boo17boo$31b5o22b3o61boo4boo11boo$35boo20b
ob3o65bobbo$33bobbo5boobb5o7bob3o65boo$34boo6bo7bo7b4o$42bo4boboo8boo
134bo$46b3o146bo$195bo$149boo45boo$32b3o98boo14boo45b3o$32bobo97bobbo
60boo$32bo99bobbo75boo$32bobbo97boo76boo$33bobo$34b3o51boo$36boo46boo
3bo105bo$30b3o4boo34b3o7bo6bo41b3o61bo$36boo38b3o5bo3b5o51bo50bo$76b3o
6bo3bo31boo20bobo33bo6boo24boo$77bo11bobbo28boo20boo33bobo3bo3bo22bo7b
oo$90boo7boo76bo3bobo3boo30boo$99boo77bobobboboboo$126b3o50bo3bobboo7b
o15b3o$183bo4bo6bo15bobo$36boo101boo43bobbo25boo$36boo100bobbo44bo24bo
bbo$100bo37bobo71boo$100boo37bo72bo$46b3o17b3o6bo22boobbo4boo99bo$48bo
18boo3boobo20bo4boo4boo13boo85boo$66boo5bobo21boo23boo40boo41bobo$46b
4o21b3obo21bo66boo41bo$48b3o23boo3boo6bobboobo60boo49boo$50bo28boo5bo
3bo3boo58boo37bo12bobo$86bo3b3obo87b3o7bobbo11boo$92boo87boboboo5bo3bo
$181boboboo5bo3bo$181bo3bo5boo3bo4b3o$182bobo7bobbo4boobbo$183bo15bo3b
oo$198bobb3o$107bo89bobboo$106boo22bo66bobbo$76bo3boo23b5o20bo33bo33bo
bbo$70boboo3boboobo21bo19bo5bo33bo21boo13bo$68boobo3bobo4boo19boo5bo
13bo39bo21boo11bobo33bo$71bobobb3obboo19b3oboo8bobo5bo18b3o88b3o$72bo
4boo24boboboobboo3bobo41b3o3b3o28bo35b3obo$104bobbobboo5bo23bo53boboo
33bo3bo$106boo33bo22bo14boo13bobboo32boobbobbo$108boobo20boo7bo22bo14b
oo14boobo31b3obb4o$111bo12b3o5boo30bo30booboo32bo3bobbo$122boobbo16b3o
50bobo33bo6bo$74boo47b3o71bo36bobbo$74boo48bo26b3o82booboo$131b3o3bo
40boo56bo14boo$131boboob3o10bo5bo22boo71boo$130boo3bobb3o8bo5bo32boo$
97bo3boobboobo26bobooboo7bo5bo32boo$97bo3boo4boboo26bobboo$97bo3boobb
ooboo24booboo12b3o$101boo$99bobbo9boo106bo$99bobo10boo12boo88b5o7boo
29boo$100bo24b3o58boo28bo3bobo4b3o29boo$125bobbo57boo28b3o3b3o3b3o$
126boo94boobb3o$222bo$219b3o31boo$219boo31boobo$252boobo$142b3o109bo$
116boo23bo3bo$116b3o22bo3bo100bo$115bob3o21bo3bo12b3o83boo$100boobb5o
7bob3o37b3o83boo$100bo7bo7b4o22booboo9boo4bo82boob3o$100bo4boboo8boo
24bobbo9b3obobo$104b3o37bobo10boo3bo71boo10boo$145boo10b5o57bo3b3obo4b
o3boo6b3ob3o$142bo3bo12bo7boo49bobo3bobobo3bo3bo3boo5b4o$141bobobobo
19boo49bob7oboobbo3bo3boobbobo$142bo76b3oboo3bo4boobobb3o3bo13boo$107b
oo116b3o7booboboo17b3o$107boo117bo9bo3boo17boobo$157boobbo75boobo22bo
13bo$238boo15bo3boo3bo12bo$157bo3bo103bo11bo$129bobo25bo52boo14boo34bo
bo$128booboo25bobo13bo35boo14boo34bo$129boboo42boo80bo4bobo13bo$133bo
24b3obbobo3b3obbobo99booboo4boo$132bo29bo3bo4boboobo71bo12b4o20boo$
132bo28boo10b3o71b3o11boo12bobo$160bo86bobbo24bo3bo$162bobo3bo78b3o25b
oobbo$159bobbo3boo50boo27b3o14boo10b3o$159boobbo54boo26boboobo12boo11b
o$161b3o14bo68bobb3o$155boo5bo14bobo67b4oboo$154bobbo18booboo55boo10bo
b3o$154bobbo18boo16boo54b3o10bo$152bob4o24boo9bobbo54boo10bo$151bobbo
21b3obbo12bobbo66bo$151bobo26boboo78bobo$134boo9bo3boo27bobbo65boo16bo
$134boo8bo36bo11bo53boobo$146boobbo28boo11boo3bo49b4o12bobo$146b4o43bo
3boo50bo14boo$179bo13boboboo3boo$177booboo11bo3boo3boo59bo$180bo13b3o
65bo$177bo16b3o64b3obo$142boo19boo14bo81boobboo20bobo$142boo18bo31bo
66boobboo20b3o$162bobbo28boo91boo15bo$160boob4o26boobo55boo7boo41bo$
159bo36boo54boo7bo4bo36bo$159bo3b3obbo23bobo3bo62bo4bo23bo13boo$159bo
bbobbob3o22b7o63bobo23bobo12bobbo$161boo4b3o23bobo3boo41boo31bo12b3o
12bobo$163boobobo29b3o41boo4boo25bo15bo20boo$164boobo32bo46bobbo24bo
11b5o12bo7boo$167bo26bo4bo48boo26boo24bobbo$194bo4bo60boo14b3o24b4o$
195b3o7boo53boo14boo27boo$204bo86boo10bo$188bobo3bo9bobbo83boo9boo$
187bobbooboboo5boob4o93bobbo$188bobobobbo5bo20b3o28boo48b3o$192bobbo5b
o3b3obbo41bobbo19bo28bo$191boobbo5bobbobbob3o3bobo34bobbo18bobo$189b4o
bbo7boo4b3o4bo36boo19bobbo$193boo10boobobo81boo$169boo35boobo14bo6boo
58bo$169boo11bobo24bo12b4o5boo40bobbo$182bobbo35bo3bo26b3o18boob3o$
182bobbo35bobbo39bo10boobbo11b3o$183boo37b3o6bo9boo20bobo10bobbo11bobo
$230boboob3o3boo20boo11bobo14boo$232b4o55bobbo20b3o$229b3obbo4boo51boo
$177boo21boo3b4o27bo9b3o43bo20bo5bo$177boo16b3obobbo6bo23boo4boo47bo
24b7o12bo$199bobbobb5o25b3o21boo28boo24bo17boo$199bobbo55bobbo25bobo
25bo3bo13boo$201bo9boo45bobo18boo6bo26bo17boobo$198bobo10boo11bobo32bo
19boo4boo16bo11bo18b3o$199bo24bobbo58bobo13b3o11bo4bo11boboo$224bobbo
59boo12boobbo10bo4bo11boo$225boo73boobboo9boobobo12bo6boo$301boo11bobo
23boo$274boo26b5o8bo$274boo30boo$241bo45boo15bobbo$241bo45boo16boo12b
oo$215bobo23bo77boo$214bo3bo19bob3obo$204b3o7bo4bo18bob5o13bo$199boo3b
4o6bo4bo22bobo12bobo70b3o$198boo3bo4bo6bo3bo19boo19bo42b3o26bo$203boob
oo7bobbo20boo16bo3bo41bobo25b3o$203b4o33bo16bo45bo$204bo35boo16bobbo
22bo18bobbo$241bo3boo10boobo23bo19bobo$241bo16boo5boo17bo20b3o$239bob
oo22boo40boo$206boo32bo39b3o3b3o12b3o4boo$206boo99boo14boo$284bo37bo$
284bo34boobboo$284bo34boo$227bo$226b3o27bo$225bo30boo15boo42bo$226boob
oo24boboo11bobobbo22boo7boo3b7o$227b3oboo23bobboo6boobobo3bo21boo7boo
3bo4boo$229b4o24boobo14bo37boboo$257b5o8bobboo42bo$270bobbo40bobbo$
260b3o51bobbo$260b3o51b3o46boo$260boo53boo42boo3bo$258bobboo52boo31b3o
7bo6bo$253b7oboo43boo7boo34b3o5bo3b5o$251boob4oboo45boo43b3o6bo3bo$
256boo94bo11bobbo$254bobo108boo7boo$248bo3b4o118boo$247bo3bo$232boo$
232boo13boo88bo$247boo87bobo$244boobo87bo3bo$244b4o18bo69bobo$246bo18b
3o14boo53bo14b3o$264bo10bobbo4bo67bo3bo$265booboo6b3obbobbo52b4o10b3o
bbo$240boo24b3oboo5boobbobbo51bo4bo9bo3bo$240boo26b4o9bobbo53bo13b3o
26bo$282b3o6boo42bo3bobbo9boo25boo$291boo42bob3obo34boobobo$336b3obo
37booboo$382bo$$354bo$292b3o56b5o$259bo7bo22boob3o54bo$258b3o5bobo26b
oobboo29boo$257boob4obbobbo23bobo3boo29boo19bo3bo$258b3obbo23bo3b4o57b
3o$259bobboobbo19bo3bo84b3o$263boobobobboo68boo32b3o14boo$267bo3boo13b
oo53boo31bo3bo7bobo4boo$286boo87boob3o5bobbobb3o$283boobo88boo4bo4bobo
b6o$283b4o51boo38bobbo9bobboo$285bo52boo39boo11b3o6boo$393bo7boo$$349b
oo12b3o$349boo$263bo103bo$262b4o6boo89bo3boo12bo$261bo4bo4b3oboo88bobo
13boo$260boo10boob3o84b3o16bobo$261boboboo4b3oboo87bo$262b3o6boo107boo
$263bo99boo16boo22b4o$364boo14bobbo20bo4bo$364bo15b3o20bobbo$364boo42b
obo$363boo45bo$266boo135bo5bo$266boo136bo$406bobo3$379boo$378b3o$362b
oo14bobbo25bobo$362boo15b3o24bobbo$368boo9b3o25bobo$368boo53boo$423bob
o$409bo13b3o$408boboo11bobbo$408boboo12bo$394b3o10bo3bo12bo7boo$395bo
12b4o20boo$376boo17bobbo9b3o15bo$376boo17bobbo24bo$396bobo24bobbo$411b
oo9b3o$411boo9b3o$422bobbo$423bobo$395bo27b3o$394bobo$395bo$412bo$412b
o$393b4o$393boo3bo13bo$394bo4bo11bobo$396boboo11bo$397bo15boo$414bo$
411b3o33bo$412boo32b3o$409bo35b3obo$378boo29boo33bo3bo$378boo29boo32b
oobbobbo$399boo6boo33b3obb4o$399boo4boo37bo3bobbo$405boobo35bo6bo$407b
oo37bobbo$448booboo$448bo14boo$463boo$$407boo$407boo$$427boo7boo9bobo$
427b3o6boo10boo$427boobobo10boobboo22boo$400b3o3b3o21boo11boobbo23boo$
448b6o$404bo43boob4o11bo$404bo20bo25bobboo9bobo$404bo19b3o24bobbo12bo$
423b3obo16boobbo3boo13bo$422bo3bo8boo8b3o14bo3bo$421boobbobbo6boo8b3o
14booboo$420b3obb4o36bo$422bo3bobbo27boo4boo$422bo6bo27boo$424bobbo$
426booboo$426bo4$425boo$427bo$425boo$440bo$440bo$439bo$431bo$431boo$
423b3o4boboo$430bobo$430boo10boo$439boboo$439b3o$440bo3$429boo$429boo
89$416bo$415bobo$415bobboo$413b7o14bo$412bobbo3bo14bo$411b3obb7o11bo$
413b3obbo8bo$414booboo8bo$415b3obobbo$416b3oboo13boo5boo$419bo13boobo
5boo$405bo26bo3bo$403booboo24bobboo$406boo25b3o$403b3o15boo11bo$405bo
3bo10bobbo$404bo3bo$405b3obo$407boo$406bobo10boo$407bo11b3obboo$406boo
12bo$365bo39b3o11boo5bo$364b3o38boboo11bo4bo$363b3obo14bo21b5o11bo$
362boo3boo6bobbo3bo38bobo$337b3o21boobobboo6bo3bobbo39bo$337bobo22boob
oboo5bo$326b3o8b3o23b3oboo6boboobo$325bo3bo23boo10bo4bo8bo39b3o$324bo
4bo22bobboo9b4o49b3o$323bo3bo11boo11booboo11bo53boo$323bobbob3o6booboo
14bo23bo37b3obbo$323bo7bo5boobboo10boo25boo13bo$325bo3bobo4boo3boo11bo
7boo30bobo12boo12bo$325bo3boboo4boobboo19boo30bobo12boo7boo3bo$327b3ob
oo5bobo54bo23bobbo$420bobo$390boo7boo$389bobbo5bobbo$335boo17b3o33boo
7boo$326boo7boo14b3obo$326boo24booboo38bo21boo$352booboo37bobo20boo$
354bo39bobo$395bo$$355boo$315b3o10boo24bobbo$315bobo8boobbo24boo$315b
3o8bo3bo$330boo$327boobobobboo$317boo13booboo$315booboo11boo$315boobb
oo$314boo3boo83boo$315boobboo83boo4boo57bo$316bobo90bobbo56bo7bo$332b
3o75boo57bo5b3o$332bobo133boo3bobo$330b4o140bobbo$329b3o6boo133bobboo$
329bo8boo148boo$330b3o155boo$332bo82boo$414bobbo$414bobbo$320boo93boo$
320boo$464bo$450bobo6bobb4o30boo$355bo58b3o32bo9bob4o31boo$355bo70bo
23bobbo6b3o3boo$355bo8bo38boo20bobo24b3o9bobboo$362bobo38boo20boo38bob
oo$356b3obbo3bo100bo25boo$357bob5o128boo$363bo44b3o81boo$358boo15boo$
375boo44boo65boobbo$420bobbo65b3o$420bobo62boo3bo$421bo63boo$482b3obo$
404boo73booboo$404boo68boo3b3o$383boo88boo$366bo16boo51boo17boo16bob3o
$346bo18b4o67boo13bo3boo11b3o4bo$344booboo14b5obo80bobo16booboobo3bo$
347boo8b3obbo6boo79bobo18bo$344b3o14bo3bob3o81bo24bobbo$346bo3bo11bobo
bboo107bo$345bo3bo96boo7boo20boo$346b3obo94bobbo5bobbo$348boo96boo7boo
6boo$347bobo113boo43b3o$348bo102bo$347boo101bobo59bo$346b3o101bobo55bo
3boo12bo$346boboo101bo58bobo13boo$345b5o46bo110b3o16bobo$391bobbobobbo
3bo92bo12bo$391bo4boob5o91b3o27boo$391bo3bo4bobo91booboo9boo16boo$493b
oobobo10boo14bobbo$393b3o96b3obb3o9bo15b3o5boo$394bo18boo78bo6bo8boo
22boo$413boo79b5obo7boo$495b4oboo$367bo132bo$350boo14bobo91boo18b3o16b
o12boo$350boo16bo91boo50boo$363boobo17bo$363b3o16booboo137boo$363bobo
16booboo34boo74bo25b3o$382boo37boo72boobo24bobbo$360boob3o18boobo22boo
112b3o$360boobbo20bobbo20booboo84bo25b3o$358bobboboo20bobbo9boboo7boob
oo81bobbo$358bobo4bo20boo6b3oboobo9b3o82bo$395bo3bobo$396bo3bo100boo$
494b3o5boo$501boo$384b3o114bo11b4o$512boboo$384bobo125bobo$385bo$386bo
120bo$386boo37b3o77bobboo$383boboobo34b7o6bo63boo3bobb4o$383b4oboo32b
9o4bo64boo3boboobo$384b5o32bo7b3obboo72boobo$386boo34b3o6bo3bobbo69bo$
423boo11b3o45boo20bo4bo$426bo10bo46boo20b3o$427bo18boo58boob3o37bo$
428bo17boo61b3o36bobo$508bobo36booboo$388boo118boo37booboo$388boo156b
3o$401bobbo141b3o3bo12boo$400bo4bo7bo132b3o4bo11boo$399bo13bo133boo5bo
$399bobo4bo6bo8bo23b3o5boo91b3o$399bo20bobo20boobobo5boo92boo$399bobbo
3bo7b3obbo3bo19bobbobo100boo$400bo3bo10bob5o10boboo5b3o120boo$402boo
17bo4boo4bobo3booboo$416boo8boo6boob3obbo89b3o6bo22b3o6boo$533boo3boob
o6bo4bo10bobo6boo$532boo5bobo5bobbo3bo$537b3obo7boo15bo$540boo7boobboo
10boo$565boo$$564boo$456bo107b3o$424bo30boo51boo52b3o$423b4o27b5o49boo
52bo$421b5obo25bo19bo$415b3obbo6boo23boo5bo13bo87b3o$419bo3bob3o23b3ob
oo8bobo5bo87bo$420bobobboo25boboboobboo3bobo93b3o$453bobbobboo5bo75bo
3boo$455boo79boboo3boboobo$457boobo20boo51boobo3bobo4boo$460bo12b3o5b
oo54bobobb3obboo7boo$471boobbo62bo4boo10bobbo$421boo49b3o81boo$421boo
50bo82boo$480b3o3bo65boobo32boo$480boboob3o64bobbo28boo3bo$479boo3bobb
3o63b3o17b3o7bo6bo$446bo3boobboobo26bobooboo49boo34b3o5bo3b5o$446bo3b
oo4boboo26bobboo49boo34b3o6bo3bo$446bo3boobbooboo24booboo63boo24bo11bo
bbo$450boo99b3o36boo7boo$448bobbo9boo89bo46boo$448bobo10boo12boo72boob
oo$449bo24b3o72booboo$474bobbo73bo10bo$475boo55boo27bobo$532boo26bo3bo
$561bobo$562bo14b3o$576bo3bo$491bobo68b4o10b3obbo$465boo23bobbo67bo4bo
9bo3bo$465b3o23bobo69bo13b3o26bo$464bob3o38boo31boo18bo3bobbo9boo25boo
$449boobb5o7bob3o37bobo30boo18bob3obo34boobobo$449bo7bo7b4o24bo13b3o
51b3obo37booboo$449bo4boboo8boo24boboo11bobbo96bo$453b3o36boboo12bo$
491bo3bo12bo7boo61bo$492b4o20boo58b5o$492b3o15bo64bo$507bo$456boo49bo
bbo65bo3bo$456boo25bo22b3o68b3o$506b3o91b3o$479bo7bo18bobbo56boo32b3o
14boo$479bo8bo4boo12bobo56boo31bo3bo7bobo4boo$478bo4boo3bo6bo11b3o11b
oo77boob3o5bobbobb3o$479bobo6bo4bobo24boobo76boo4bo4bobob6o$479boboo
11bo23bo4bo79bobbo9bobboo$513boo8bo80boo11b3o6boo$484bo9bo18bobobboobb
o95bo7boo$494bo18boboo$510b6o58boo12b3o$509bo4bo59boo$509bobbo12bo66bo
$510boo76bo3boo12bo$521bo7bo34boo24bobo13boo$504bo16bo8bobb3o28boo21b
3o16bobo$502boobo14bo4boo3bobb3o53bo$500booboboo14bobo6bobboobbo67boo$
502bo18boboo10bobo50boo16boo22b4o$491boo4boobo34b3o51boo14bobbo20bo4bo
$483boo8boobo29bo18boo42bo15b3o20bobbo$483boo5b3obob4o45boo42boo42bobo
$495bo92boo45bo$628bo5bo$629bo$631bobo$$511b3o32bo81bo$491boo27bo23boo
bo5boo49boo21bobo$491boo20boo5b3o19booboboo4boo48b3o21bobboo$513b4o4bo
22bo58bobbo18b7o14bo$513boob3oboo11boo4boobo61b3o17bobbo3bo14bo$518bob
o4boo8boobo54boo9b3o16b3obb7o11bo$525boo5b3obob4o51boo30b3obbo8bo$537b
o88booboo8bo$627b3obobbo$628b3oboo13boo5boo$631bo13boobo5boo$588boo27b
o26bo3bo$588boo25booboo24bobboo$601boo15boo25b3o$601boo12b3o15boo11bo$
522boo29bo63bo3bo10bobbo$525bo26boboo60bo3bo$515bo4boo4boo28bo60b3obo$
515bo3boo6bo22bo3bobbo61boo$515bobb3obboobbo20bo9bo11b3o45bobo10boo$
523boobo21bo4boobboo60bo11b3obboo$557boo59boo12bo$550bo5bo60b3o11boo5b
o$551bo4b3o58boboo11bo4bo$552bo4boo12b3o5boo35b5o11bo$554b4o12booboo4b
oo52bobo$520boo47boboboo59bo$520boo47bo3bo$570bobbo9boo$570b3o10boo46b
3o$578boo3bo47b3o$554bobo20b4oboo50boo$545bob3o4bobo21bobobbo46b3obbo$
543boobo4bo5bo$545boo4bobbobbo24boboo35boo12bo$551bobbobbo26bo27boo7b
oo7boo3bo$550bo4bo3boo51boo17bobbo$546bobbo9boo11b3o57bobo$547boo22boo
boo$571boobbo$573boo96bo$666bobbobobbo3bo$629boo35bo4boob5o$629boo35bo
3bo4bobo$$668b3o$669bo18boo$561bobobboo120boo$547bo4bobo6bobboobbo$
546bobobboobboo7boobbo$546bob4obbobo5boobbobo$547bo6bobo93bo$551bob3o
93b3o$593bobo52b3obo14bo$584bob3o4bobo51boo3boo6bobbo3bo28boo$582boobo
4bo5bo49boobobboo6bo3bobbo28boo$584boo4bobbobbo50booboboo5bo$554boo34b
obbobbo51b3oboo6boboo$554boo33bo4bo55bo4bo$585bobbo16boo29boo13b4o34b
3obbobo$586boo17boo29boo15bo12boboo18bobb3obbo$666b3o18boobb3obbo$667b
o19booboobboo$575b3o111boo$574bo3bo110bo$573bo4bo$572bo3bo105bobobb3o$
572bobbob3o33boo68bo$572bo7bo32boo$574bo3bobo19bobobboo$574bo3boboo4bo
4bobo6bobboobbo38bo24bo3bo3bo17bo$576b3oboo3bobobboobboo7boobbo38bo8b
oo17bobbo15b5o7boo$585bob4obbobo5boobbobo38bo8boo36bo3bobo4b3o$586bo6b
obo97b3o3b3o3b3o$590bob3o47b3o3b3o22bo25boobb3o$673bo25bo$576boo68bo
49b3o16boo$576boo68bo49boo17boo$577bo68bo$663boo$577bo85boo11boo$676b
3o$660boo14boobo$575bo5b3o76boo18bo13bo$575bo7bo88bo3boo3bo12bo28boo$
575bo5bobo98bo11bo28boo$581boo96bobo$679bo41boo$674bo4bobo13bo24b3o$
693booboo21bob3o$678b4o36b3o$668boo8boo12bobo21bobo5bo$580boo86boo22bo
3bo19bo6bo$580boo110boobbo18bo7bo$693b3o20bo$591boo101bo21bo$590bo$$
591bo$595bo$593bobo125bo$594bo87boo36bobo$682boo35bo3bo13b3o$719bo3bo
8bo$719bobob3o4boob3o$720boobobbo5boboo$724bobo8bo$724boo11bobbo5boo$
737b3o6boo$690boo17bo$690boo17bo$709bo$712boo$712boo12boo$707bo3b3o11b
oo$708b3o15bo$709bo15b3o$708boo15b3o23boo$708b3o16bo22b4o$710bo14bobbo
20bo3bo$708bo16b3o26bo$710bo15bo27bo$708b3o44bo6$723bobo$723bobbo$723b
obbo$723bo3bo$713boo9bobo34bo$713boo10bo34bobo$759booboo$759booboo$
758b3o$758b3o3bo12boo$758b3o4bo11boo$759boo5bo$721boo36b3o$721boo23boo
12boo$747bobbo4bo5boo$744bobb3obobbobo19boo$744bobbo4b4o$744bobbo13bo
14b3o6boo$747bo6bo5b3o13bobo6boo$746boobo9bo3bo$754bo8boo13bo$752boo8b
oo13b3o$778bo$758boo15b4o$749boo7boo13bo4bo$749boo22bobo$739bo35bo$
738bobo31b3oboobo$737booboo31bo4bo$737booboo$736b3o$736b3o3bo$736b3o4b
o$737boo5bo$737b3o$738boo$739boo3$739bo$738b3o$737bo3bo12bo$741boo10bo
bo$740boo14bo$755bo$752b3o$751b3o$753bo$751boo3$743boo$743boo137$684bo
$683bo$683b3o!

BCNU,
-dbell

[dbell]

Here is a new minimum population for an adjustable high period Cordership.

Code: Select all

#C A high period Cordership based on turning a forward glider
#C into a beehive then back again.  This is shown at its minimum
#C population of 216 cells.  This spaceship has a period of 1056.
#C Advancing the topmost Cordership by 64 generations changes
#C the period by 96 generations.  Only every third advancement
#C produces the lowest population, however.
#C David I. Bell, 23 October 2025
x = 156, y = 104, rule = B3/S23
12bo$12bo5b3o$11bobo3boobbo$12bo3bo5bo$12bo3bo$17bobboo$18boo11boo$31b
oo7$b3o35boo$b3o21bo13boo$bbo12boo9boo$3boo9bob3o8boo$4bo9bo3bo10bo$3b
o11boobo5b5o$16bo10bo3$boo$boo$bbo$bbo$bobo$o$bobboo$bbo3bo$4boo$4bo7$
6boo$6boo$19bo$19b3o$20boo$20bo$$18boobo$18b4o$20boo14$82b3o$82bo42boo
bo$83bo40b3obo6bobo$123bo4bobo4bo$124boo6bobo3bo$125bo3bobbobboo$128bo
boo3bo$127bobo16boo$127bobo16boo3$107bobo$106bo$107bobbo$109bobo$112bo
11b3o27boo$111b3o40boo$111bo41boo$109boo40bobo$111bo13b3o$109bobbo12b
3o21bo4bo$109bobo13boo21boob4o$109bo14bo24bo$122boobbo19b3o5boo$123bo
3bo18boo$123bobbo19boo$124b3o6$113boo$113boo7$121boo$121boo!

EDIT:

The population 216 spaceship seen above was the first one I found with a suitable beehive-creating reaction for the upper Cordership.

However, there was the possibility that a different reaction could also create a suitable beehive with a smaller minimum population.

So I searched for all such reactions, and found eight more of them, with minimum populations of 217, 218, 225, 232, 236, 237, 239, and 243 cells.

For interest, here are the next two smallest ones, and the largest one.

Code: Select all

#C A diagonal c/12 ping-pong spaceship with a minimum population of 217.
x = 123, y = 119, rule = B3/S23
31bo$14b3o8bo5bo$13bo3bo6bo7bo$14boo9b4obboo$16booboo9b3o$18boo11bobo$
32bo7boo$32bo7boo$$bb3o$$o5bo$7o12bo$bbo17boo$bbo3bo13boo$bo17boobo$bb
o18b3o$3bo4bo11boboo21boo$3bo4bo11boo22bobbo$bboobobo12bo22bo3boo$bobo
39bo4bo$bbo39bo6bo$43bobo$44bob3o5$17b3o$19bo$18b3o$7boo$7boo7$15boo$
15boo19$32boo$31boo$33bo17$102bo$88boo7boobbobo$88b3o6b4o3bo$88boobobo
7bo$91boo10boboo$103bobo$104bo8boo$113boo4$76bo$74booboo$76bo$91boo$
90bobbo$77boo11booboo$76bobbo11bo$75boo3bo10b3o26boo$75bo4bo34boo3boo$
75bo3bo36b3obboo$76bobbo36boobb3o$77bo$$93bo$89bo3bo$90bobbo$90booboo$
91bobo$92bo$$80boo$80boo7$88boo$88boo!

Code: Select all

#C A diagonal c/12 ping-pong spaceship with a minimum population of 218.
x = 141, y = 93, rule = B3/S23
12bo$12bo5b3o$11bobo3boobbo$12bo3bo5bo$12bo3bo$17bobboo$18boo11boo$31b
oo7$b3o35boo$b3o21bo13boo$bbo12boo9boo$3boo9bob3o8boo$4bo9bo3bo10bo$3b
o11boobo5b5o$16bo10bo3$boo$boo$bbo$bbo$bobo$o$bobboo$bbo3bo$4boo$4bo7$
6boo$6boo$19bo$19b3o$20boo$20bo$$18boobo$18b4o$20boo$$67boo$67bobo$67b
o44bo$108boobobo7bo$108bobbooboobbooboo$108bo5bobo5bo$109boobbo8bo$
113bobb3obbo$113b3o15boo$131boo3$92bo$92bo$92bob3o$94b3o$95bo13b3o$95b
oo41bobo$96bo40bo$96boo13bo25bobo$110boo22boboobo$93booboo11b3o21bob3o
bo$94b3o12bo27boboo$94bo12bo24bobb3obo$107bo3boo21bo$111boo17bo$108bo
22bo$109bobbo$109b3o5$98boo$98boo7$106boo$106boo!

Code: Select all

#C A diagonal c/12 ping-pong spaceship with a minimum population of 243.
x = 132, y = 126, rule = B3/S23
13bobo$12bo$13bobbo$15bobo$18bo11b3o$17b3o$17bo$15boo$17bo13b3o$15bobb
o12b3o5boo$b3o11bobo13boo6boo$bobo11bo14bo$o3bo23boobbo$o3bo24bo3bo$o
17boo9bobbo$o4boo11boo10b3o$o6bo$bo5bo$boo$3bo3bo$4bobo10boo$18bo$17b
3o$b3o$o3bo13bo$bobbo14bo$3boo13boo$18bo$$15bobbo$17b4o$14bo$15boobboo
$$6boo7boo$6boo6boo$15boobbo6$14boo$14boo42$103bo$103bo5b3o$63bo38bobo
3boobbo$62boo39bo3bo5bo$62bobo38bo3bo$108bobboo$109boo11boo$122boo6$
98bobo$84bobo7bobbobbo29boo$83booboo5boboboobo29boo$84boboo6bo$88bo11b
3o$87bo13boo$87bo12boo24boo$125bobbo$124booboo$123bobo$121b3o$120bo5bo
$117bobbo5bo$116bobobbobboo$116bobboo$107boo9boo$106boboo5bo$104boo4bo
3boo$89boo12bo3bo3bo$89boo14boo3bo$104bobb3o$105b3o$105bo4$97boo$97boo
!

Hopefully I didn't miss something since my search was manual.

BCNU,
-dbell

[dbell]

Here is the smallest Cordership based fanout device that I know of.

Code: Select all

#C A Cordership based fanout device for sideways gliders.
#C The device uses multiple copies of the three-engine Cordership.
#C This shows five Corderships but an arbitrary number can be used.
#C The first Cordership consumes a sideways glider to release a
#C sideways glider and leave a beehive.  Further Corderships consume a
#C beehive to release a sideways glider and leave another beehive.
#C The last Cordership consumes a beehive to release a sideways glider
#C without leaving anything.  The phases of the beehive-consuming
#C Corderships can be changed to adjust the timing of their output
#C gliders.  The fanout device can be used with glider streams having
#C periods 192 and above.
#C David I. Bell, 28 October 2025
x = 343, y = 187, rule = B3/S23
95bo$94bobo$94bobboo$92b7o14bo$91bobbo3bo14bo$90b3obb7o11bo$86bo5b3obb
o8bo$86bo6booboo8bo$86bo7b3obobbo$87boo6b3oboo13boo5boo$87b3o8bo13boob
o5boo$87boo22bo3bo$111bobboo$112b3o$113bo$94boo$85boo7boo$85boo$117bo$
117boo$116boboo$116b3o$73bo40boobo$72bobo12boo26boo$72bobboo10boo5bo$
70b7o17bo$69bobbo3bo11bo6boo49bo$68b3obb7o8boo4boo50bo$70b3obbo13bo4bo
51bo$71booboo10boo55bob3obo$72b3obobbo6bobo54bob5o13bo$73b3oboo8b3obbo
54bobo12bobo$76bo16bo50boo19bo$92boo37bo12boo16bo3bo$90boboo36bobo12bo
16bo$90b3o52boo16bobbo$91bo38bobbo3bob3o4bo3boo10boobo$97boo33bo4bo8bo
16boo5boo$97boo34boboobobo3boboo22boo$134boo3bo5bo$135bo$95bo$94bobo$
79boo62boo$79boo53boo7boo$93bo3bo36boo25bo$91bo4bo64boo$64b3o24bo71bo$
66bo24boo31bo37b3o$65bo58bo39bo$124bo37boboo$87boo32bob3obo34bobbo$87b
oo32bob5o10boobbo20boo$125bobo$122boo20bo$122boo12bo3bo$123bo12bo3bobb
oo$123boo12bo$124bo3boo8bobo$124bo14bo$122boboo$123bo$$137bo$135booboo
$135booboboo4boo$136boo3bo4boo$138boobbo$139b3o$140boo$$128boo$128boo
5$219bo$218b3o$3o215bobbo$bbo215b3o$bo216b3o14boo$217boboobo12boo$218b
obb3o$218b4oboo$219bob3o$204b3o6bo7b3o10bo$203bo4bo3bobo7boo10bo$203bo
4boo3bo21bo$203bo6bo22bobo7boo$204b3obobbobo4boo16bo6boo$208b5o5boobo$
213bo4b4o12bobo$220bo14boo$$216boo15b3o28bo$207boo7boo14bo3bo19b3o3b4o
$207boo23boobbo19bobo3booboo$231bo4boo18b3obbo$197bo33bobbobbo23boo3bo
$196b3o32bobbo27b4o$196bobbo37bo25b3o10boo$196b3o77boo$196b3o$195boboo
bo38b3o$196bobb3o36bo$196b4oboo34bo4boo$197bob3o34bo3bo8boo6boo$199b3o
34bobbo4bo4boo6bobbo$200boo34bo3bo3bo11bo3bo$237boobob3o11bo13boo$240b
o16b4o8boobo$196boo43b4o14bobbo6boobo$196boobo43boo15b3o4b3obboo$196b
4o12bo48bo5bobo$198bo11boboo53boo$210bobo35boo10boo$211bo4bo25bo5boo
10boo$217bo16b3o3b4o$209boo5bo17bobo3booboo25boo$209boo23b3obbo30boo$
239boo3bo$240b4o$201boo38b3o$201boo8$249bo$238boo9b3o$237bobobo7b3o$
237bo3boo5bo3bo3bo61bo$238boo8b4o3bobo57b4o$238b3o7boboo3bobo$256bo75b
3o$305b3o$304bo3bo9bobo12boo$303bo3boo10bo13boo$304bo12boo13bobbo$242b
oo61b4o8bobbo11bo8boo$242boo63boboo5booboo10b3o7boo$307bobbo20boo$308b
oo24boo$333bobbo$$314boo15boo$305boo7boo15bobbo$305boo25b3o$339bo$340b
oo$339b3o$$334boo$296bo10boo24bobbo$293b4o9bobbo24boo$$307b3o$307bobbo
3boo$296bobo10bobobboo$297bo12boo$295boo$295bobbo$294booboo$$312bo$
312boo$309bobb3o$309boobboobboo$310bobo4boo$310b3o4$299boo$299boo4$
309bobo$309boo$308b3o$307boo$307boo!

Here is an application of the fanout device to create a period multiplication convoy, which is almost worthy of being in the 'Thread For Your Useless Discoveries'.

Code: Select all

#C A diagonal c/12 convoy to period multiply a glider stream.
#C This creates a fuse consisting of boats and blocks and then burns it.
#C The example shown here takes an input rake with period 288 (96 * 3)
#C to produce an output rake of period 4032 (96 * 3 * 2 * 7).
#C Similar convoys could use other period inputs and outputs.
#C David I. Bell, 28 October 2025
x = 1451, y = 1577, rule = B3/S23
409bo$408bobo$398bo8bo3bo$397b3o8bobo$396b3obo8bo14b3o$395bo3bo23bo3bo
$394boobbobbo7b4o10b3obbo$393b3obb4o6bo4bo9bo3bo$395bo3bobbo7bo13b3o$
395bo6bo4bo3bobbo9boo7boo$397bobbo6bob3obo19boo$399booboo4b3obo$399bo$
219bo$205boo7boobbobo205bo$205b3o6b4o3bo184boo15b5o$205boobobo7bo178b
oo7boo14bo$208boo10boboo173boo$220bobo200bo3bo$221bo8boo192b3o$230boo
$$387bo38boo$386bobo9b3o24bobbo$385bo3bo7b3obo24boo$386bobo8booboo$
230boo155bo10bobbo$228b3oboo4boo160boob5o$228boboboo4boo147b4o13b4o$
215b3o8boobo156bo4bo10b3o$215b3o6bo163bo$213boo4b3obo161bo3bobbo$213b
oo4boobb3o159bob3obo$212bobbo5b5o160b3obo13bo$212b3o188bobo$195bobo15b
oo190bo$194booboo201bo3bo$195boboo201bo$199bo200bobbo$198bo202b3o$198b
o27bo176bo$225bobo$184bo40bobo$183bobo40bo186bo$205boo205bobo$183bobbo
17bobbo204bobo56boobbo$185boo18boo206bo60bobo$186bo286bo16bo$234bo255b
o$233bobo227bo11boo13bo$233bobo225booboo$234bo226booboo10boo12boo$183b
oo15boo259boo12bo13bobbo$185bo14boo261boobo6booboo11bobo6boo$184boo
278bobbo8boo10boo8boo$183b3o10boo266bobbo6bo13bo$183boo10bobbo43bo222b
oo24boo$182b3obo9bobo42bobo247boo$183bo3bo9bo43bobo247boo$185bobbo53bo
228boo15boobo$185b3o35b5o7bo226boo7boo16b3o$186boo33boo5boo4bobo225boo
26bo$170bo50bo7bo4bo260bo$208bo12boo7bo3bobbo257bobo$174bo32b3o13boo6b
o3b3o259boo$206booboo15bo$166b3obo34boobobo15bo4bo259boo$166b3obo33b3o
bb3o15boobo206bo11boobbo10boo24bobbo$167bo8boo10boo15bo6bo223bobo13bob
o9boo25boo$168bo3b3oboo10boo16b5obo223bobo12bo12boo$169bo6bo30b4oboo
223bo27boo$170bobobobo35bo240boo12bo3boo$171bo15boo22bo252boobbobboo$
187boo265boo11boo$453bo$451booboo$196boo117b3o136boo$196boo119bo134bo
15bo$316bo153bo$465bo4bo$195boo268bo4boo$195boo270bobbo$467b3o69bo$
239boo227bo68booboo$169b3o67boo296booboo$159b3o12bo362boo$159bobo11bob
o363boobo$159b3o12bo303bo61bobbo$203boo19boo251bobo60bobbo$203boo19bob
o250bobo61boo12boo$161boo62bo252bo76boo$159booboo$159boobboo$158boo3b
oo374bo$159boobboo357bobo13boboo$160bobo359bobobo9bo$144b3o6bo57boo19b
oo287bobboobo11bobo$145boo3boobo15boo40boo19bobo287boo3bobobo3bobbobo
22boo$144boo5bobo14bobbo61bo288boo3booboo3bo5bo21boo$149b3obo15boo55b
3o297boboo5bobbooboo$152boo72bo298bobo8bo3boobo11b3o$227bo311b3oboo9bo
b3o$203b3o330bo3b4o13bobo$203bobbo331booboo15boo$206bo310bo9boo8bo17bo
bbo$164boo37boo310booboo7boo26b3o$164boo36bobo310booboo36bo$203bobb3o
306boo32boo$160boo42boobbo308boobo28boo$159boobo41bo3bo309bobbo$158boo
45bobo310bobbo$154bo52bo294bo16boo$148boboo3bo47bo3bo293bobo$146boobo
3bobo26b3o17bo165bo132bobo$149bobobb3o13bo10bo3bo15bo166bobo131bo$150b
o4boo23bo4bo8boo6bobbobo34b3o123boo$174bo5bobbobo7b4o9bo35bo274b3o$
180boobobo6bo3boo45bo$166b3obo11boobobbo4boobobo318bobo$166b3obo13boo
bbo329bo$167bo8boo7b3o13bo317bo$152boo14bo3b3oboo20bobbo317boo10b3o$
152boo15bo6bo22b3o314boboobo9bobo$170bobobobo339b4oboo8boobo$171bo47b
3o295b5o11bo$221bo297boo11b3o$220bo310bobbo$532boo$$160boo$160boo$184b
oo357bo$184boo356bobo$542bobo$543bo5$192boo$192boo416bo$609bobo$609bo
bboo$607b7o14bo$606bobbo3bo14bo$605b3obb7o11bo$601bo5b3obbo8bo$601bo6b
ooboo8bo$601bo7b3obobbo$602boo6b3oboo13boo5boo$602b3o8bo13boobo5boo$
602boo22bo3bo$626bobboo$627b3o$628bo$435bo131bo41boo$434bo131bobo31boo
7boo$434b3o129bobo31boo$567bo64bo$632boo$631boboo$631b3o$588bo40boobo$
587bobo12boo26boo$587bobboo10boo5bo$585b7o17bo$584bobbo3bo11bo6boo$
583b3obb7o8boo4boo$585b3obbo13bo4bo$586booboo10boo$587b3obobbo6bobo$
588b3oboo8b3obbo$591bo16bo$607boo$605boboo$605b3o$606bo$612boo$612boo$
591bo$590bobo$590bobo17bo$591bo17bobo73bo$594boo88b3o$594boo87booboo$
608bo3bo69boobobo$606bo4bo69b3obb3o$606bo75bo6bo$606boo75b5obo$684b4ob
oo$689bo$602boo84bo12boo$602boo97boo3$669b3o13boo$667b7o9bo$666b9o11bo
$665bo7b3o$632bo33b3o12boobboboo20boo$631bobo33boo13bobbo23boo$631bobo
36bo10bo4bobo$632bo38bo13boo3boo$672bo12boobboboo11bo$663bo19boboo3boo
10booboo$662b3o17booboo3bo$661booboo7boo7boobo14booboboo$660boobobo7b
oo9bo18bo$491bo167b3obb3o33bobbo$320bo170bobo166bo6bo27boo4boo$320bobo
168boo168b5obo27boo$320boo340b4oboo$667bo$666bo4$664bo$590bo71boobo$
590bobo$590boo73bo$662bobbo12bo$663bo13b3o$656bo20boobo$655bobo10boo9b
3o$655bobo3b3o5boo8boo$656bo11boo9boo$668bo10boo$677boobo$678boo4$667b
oo$667boo17$387bo$386bo$386b3o26$652bo$652bobo$652boo23$443bo$272bo
170bobo$272bobo168boo$272boo7$542bo$542bobo$542boo$586b3o$586b3o$$586b
oboo$586bo3bo$588b3o$603boo$603boo3$587bo$586bobo$587bo$586boo$586boo
23boo$587bo23boo$585boboo$586boboobo$586bo4bo$573b3o13bobo$573bobo$
573b3o26bob3o$601booboboo$601boobo$575boo23bobo3bo$573booboo22b3obbo$
573boobboo21b3oboo$572boo3boo23b3o$573boobboo24bo$574bobo$339bo$338bo
262boo$338b3o260boo$477b3o118bo$476bo3bo116bo$475bo3boo117bobo$476bo
120bobbo$477b4o115booboo$479boboo112boboo$479bobbo95boo15boo$480boo12b
oo82boo14boo$494boo96bobbo$592b3o3bo$591bobbobbo$479bo111bobo$479bo
112boo$478bobo$479bo106boo$479boo21boo82boo$479b3o20boo136bo$641bo$
465bo11bo4boo155b3o$464b3o10bo5bo$463bobobo9bo5bo12bo$462b3ob3o13bo15b
o$493bo5bo$464bob3o23boo$464b5o21b3ob3o$464boobboo22bo3boboo$466boboo
20boo$468boo25boo$464bobobbo23boo$463bobobbo24bo$464bo30bo$492boo$494b
o$492boo$$489boo$487bobo$486bo$487bobbo$488boobo$469boo18bo$469boo12b
3o$483bobbo$482bo4bo$481b3o$481boo$482boobo$483b3o$477boo$477boo$395bo
$224bo170bobo134bo$224bobo168boo136bo$224boo305b3o33$330b3o$329bo3bo$
328bo3boo$329bo$330b4o$332boboo$332bobbo$291bo41boo12boo$290bo56boo$
290b3o$$332bo$332bo$331bobo$332bo$332boo21boo$332b3o20boo$$318bo11bo4b
oo$317b3o10bo5bo$316bobobo9bo5bo12bo$315b3ob3o13bo15bo$346bo5bo$317bob
3o23boo$317b5o21b3ob3o$317boobboo22bo3boboo$319boboo20boo391bo$321boo
25boo387bo$317bobobbo23boo387b3o$316bobobbo24bo$317bo30bo$345boo$347bo
$345boo$$342boo$340bobo$339bo$340bobbo$341boobo$322boo18bo$322boo12b3o
$336bobbo$335bo4bo$334b3o$334boo$335boobo$336b3o$330boo$330boo$$385bo$
386bo$384b3o8$176bo451bo$176bobo450bo$176boo449b3o22$709boo$708bo$708b
obbo$706boob4o$705bo20b3o$705bo3b3obbo$700bo4bobbobbob3o3bobo$699bobo
5boo4b3o4bo$709boobobo$699bobbo7boobo14bo6boo$701boo10bo12b4o5boo$702b
o22bo3bo$725bobbo$726b3o$$708boo$699boo7boo$699boo$243bo$242bo480bo6b
3o$242b3o478bo8bo$729bobbo$687boo40bobo$686bo14boo26boo$686bobbo11boo
4bo$684boob4o16bobo$683bo26bo$683bo3b3obbo8b3o3bobo$683bobbobbob3o10bo
3bo$685boo4b3o5b3o$687boobobo9bo$688boobo10bobboo$691bo10bo4bo$707bo$
703bobbo$704b3o$$711boo119bo$711boo120bo$831b3o3$708b3o$693boo13boo$
693boo14bobo$708b3o$704bobb4o$705b4o$706bo14$481bo$482bo$480b3o8$128bo
$128bobo$128boo5$558bo$558bo$558bo$561boo$561boo12boo$556bo3b3o11boo$
557b3o15bo$558bo15b3o$542b3o12boo15b3o$551bo5b3o16bo$544boo5b3o5bo14bo
bbo$544b4o4bo4bo16b3o5boo$544boob3oboo6bo15bo6boo$549bobo5b3o4$555boo$
546boo7boo$546boo25boo$572bobbo$573bo$536bo36boo$536bo39boo$536bo38b3o
$539boo36bo$539boo34boo$534bo3b3o$535b3o$536bo$535boo11b3o$535b3o10boo
bo$537bo13boo$535bo14boo417b3o$537bo432bo$195bo339b3o432bobbo$194bo
354bo420bobbo$194b3o351b3o420bobo$548bo3boo432boo$547b4o3bo3boo426boo$
548bo5bo3boo$548b4obboo$549bobb3o415bo$969bobo$957boo3b4o4bo$540boo
410b3obobbo6bo19bobo$540boo414bobbobb5o27boo$956bobbo8b4o17bo4boo$958b
o9boo3bo10bo3bo$955bobo11bo4bo9bo4bo$956bo14boboo11bo$972bo12boobboo$
967boo16bobo$547bobo408boo7boo18boo$547boo379bo29boo25bobbo$548bo380bo
17b3o35bobo$927b3o18bo31boo$948bobbo28boo$948bobbo$949bobo4$657bobo$
657boo289bo$658bo288bobo$948bo3$946b4o$946boo3bo11boo$947bo4bo12bo$
130bo818boboo8bobob3o$129bobo818bo10bobboo$128booboo827bo3boo$129bobbo
829b3o$131b3o$131bobo$132boo$132boo12boo$146boo804boo$952boo$$130bo$
131bo$131boo$130b3o$154boo$154boo$80bo50b3o$80bobo46bo4bo$80boo35bo11b
oo3bo$116b3o12b4o$115booboo28boo$116b3o27boobbo$117bo26bobo4bo$117bobo
30bo$117b4o21boo3bobbo$120bo21boo3bobo$$116booboo25bobo$115bo5bo24boo$
116bo3bo25bo$117bo$144boo$144boo$141bo$140bobo$$139boo3bo$139boo3bo$
141b3o$121boo18bo$121boo$134boobbo$134booboo$133boo$134bobbo$135b3o$$
129boo$129boo$$184bo$182bobo754bobo$183boo754boo$940bo$14b3o$14b3o$$
14boboo$14bo3bo$16b3o$31boo$31boo3$15bo$14bobo456bo$15bo441booboo6bob
oobboo$14boo441boo8bob5o$14boo23boo416boobobo5bo4boo$15bo23boo419bobo
11bobo$13boboo444boo$14boboobo454b3o6boo$14bo4bo463boo$b3o13bobo$bobo$
b3o26bob3o$29booboboo463bobo$29boobo451boo13boo$3boo23bobo3bo423bo24bo
bbo13bo$booboo22b3obbo416b3o3b4o23bobboo3boo$boobboo21b3oboo416bobo3b
ooboo22boboo4boo$oo3boo23b3o417b3obbo24bobbobo$boobboo24bo423boo3bo19b
oo$bbobo451b4o3boo14bo$457b3o3boo9boobboo$29boo443boobbo$29boo444boboo
130bobo$26bo449boo131boo$25bo584bo$26bobo$25bobbo$24booboo$23boboo$6b
oo15boo440bo$6boo14boo430boo9b3o$20bobbo429bobobo7b3o$20b3o3bo426bo3b
oo5bo3bo$19bobbobbo428boo8b4o$19bobo432b3o7boboo$20boo$$14boo$14boo$
68bo450boo$69bo388boo59bobo$67b3o388boo60bo22$543boo$543bobo$544bo15$
539boo3b4o$534b3obobbo6bo$280bo257bobbobb5o$278bobo257bobbo349bobo$
279boo259bo350boo$537bobo17boo333bo$538bo18boo$567boo$567bobo$568bo$
527b3o$526bobbo$525bo4bo$525bobb3o34boo$525bo5bo22bobo8boo$526b7o20bo
3bo113b3o$532bo10b3o7bo4bo112b3o14boo$532bo5boo3b4o6bo4bo111bo3bo7bobo
4boo$530boo5boo3bo4bo6bo3bo112boob3o5bobbobb3o$542booboo7bobbo113boo4b
o4bobob6o$542b4o128bobbo9bobboo$543bo33boo83bo12boo11b3o6boo$529bo47bo
bo80booboo24bo7boo$528bobo47bo84boo$527boobo129b3o$527boo133bo3bo$528b
3o130bo3bo$529bo132b3obo3boo$530bobbo130boo4boo$527bo6bo128bobo$527bo
6bo129bo$527bo4b3o56boo70boo22b3obbo$591bobo93bobobobo$592bo94booboobo
$689boboo$663b3o$661bo4bobo$649b3o18bo$532boo115b3o8bobbobo3bo$532boo
114bo3bo6bobbobbobobo$649boob3o5bobbobb3o$543bo105boo4bo4bobob6o$543b
oo107bobbo9bobboo$544bo108boo11b3o$545bo121bo$543bobbo54boo$546bo54bob
o$546bo55bo$$673boo$673boo4$667bo$164bo450boo38boo9bo3boo$165bo449bobo
37boo9boo3boo775b3o$163b3o450bo49b3obbo778bo$667boboo778bo$668boo$686b
obo$686b3o$686boo15bo$663boo38bo$663boo37bo$652bo7bo28bo13boo$651b3o5b
obo25bobo12bobbo$650boob4obbobbo24b3o12bobo$651b3obbo33bo20boo$625boo
25bobboobbo26b5o12bo7boo$625bobo28boobobo39bobbo$626bo33bo41b4o$704boo
$702bo$677b3o21boo$675b7o6bo12bobbo$674b9o4bo14b3o$673bo7b3o5boo12bo
12boo$674b3o6bo4b3o25boo$639boo34boo36boo3bo$639bobo36bo29boo3b5o$640b
o38bo7bobbo17bobo3boboo$680bo7bobo19bo$705bobb3o$704boboo$704boboo$
705bo3$698b3o$695boobobo$635boo58bobbobo$636boo46boboo5b3o$635bo13boo
27boo4bobo3booboo$649bobo26boo6boob3obbo$650bo3$376bo$374bobo466bobo$
375boo466boo$686boo156bo$686boo$663boo$663bobo$664bo3$730bo$722b3o3b4o
$722bobo3booboo$722b3obbo$676boo49boo3bo$672boobboo50b4o$672boo55b3o
10boo$742boo$$673boo$673bobo$674bo$$719bo$703booboo6boboobboo28boo$
703boo8bob5o30boo$703boobobo5bo4boo$706bobo11bobo$707boo$687boo31b3o
23boo$687bobo54boobbo$688bo56boboo$743boboo$741b4o$740bobo$737bob3o4bo
$736bobobbo3bo$740bo$700boo25b3o8b3o$696boobboo23booboo4boo$696boo26b
7o3boo$539boo168boo19boo$540boo167boo13b3obboo$539bo157boo25bo3boo$
697bobo24boobo$698bo26bo4$717boo$717boo3$260bo450boo$261bo449bobo$259b
3o450bo8$720boo$720boo3$721boo$430bo290bobo$430bo291bo$429bobo$430boo
bbo11boo$429bo5bo9bobbo$429bo5bo10boo$429bo4bo12bo$433bo13bo$416bo13b
3o13boobo$415bobo5bo21boo288boo$421booboo23bo285bobo$415b3obbo3boobboo
boo12bob3o286bo$421booboo7bo12bobbo$421b4o3boo16b3o$430b3o3$427boo$
418boo7boo$418boo25bo298boo$443booboo296boo$443booboo$408bo34boo$408bo
36b5o295boo$407bobo35boo3bo294bobo$408boobbo36bo296bo$407bo5bo$407bo5b
o$407bo4bo$411bo9bo373bobo$408b3o9bobbo371boo$420boobboo370bo$421boobb
o$406booboo11bobbo333boo$411bo9bobbo334bobo$406boo13bobbo335bo$408b3o$
421b3o$426bo$425bobobboo$425bo3b3o$420bo6boo$420boo5bo$768boo$768boo$
412boo$412boo$769boo$769bobo$770bo8$783boo$783bobo$784bo$$760b3o$769bo
$762boo5b3o$762b4o4bo$742bo19boob3oboo$728boo7boobbobo23bobo$728b3o6b
4o3bo47boo$728boobobo7bo50boo$731boo10boboo$743bobo$744bo8boo38boo$
717b3o33boo38bobo$794bo$721bo$717bo3boo41b3o$719bobo44bo$716b3o7boo37b
o$718bo7boo$$717boo28b3o53boo$356bo361boo24boboo55boobboo$357bo360bo
24bo3bo59bobo$355b3o360boo23bo3bo60bo$717boo25b3o55boo$802boo$725boo$
720bo4boo$706boo7boobbobo57boo$706b3o6b4o3bo46bo3boo4b3o$706boobobo7bo
49boboobbo6bo$709boo10boboo44bobb5obb4o33boo$721bobo49b3o3b3o34boo$
722bo49b3o$772boo17boo$772bo18boo24boo$817bobo$818bo$752bo$729bo21bobo
$728bobo20bobboo$731bo17b7o14bo$748bobbo3bo14bo28boo$728bo18b3obb7o11b
o28boo$720b3o26b3obbo8bo63boo$711boo5bo3b5obo21booboo8bo63boobboo$711b
oo6boo4boobboo20b3obobbo39boo31bobo$719bob6o25b3oboo13boo22b3obo32bo$
755bo13boobo22b6o25boo$768bo3bo26bo26boo$768bobboo18boo3bobbo$769b3o
20boobbobbo$770bo21boo$719boo71bo$719boo$840boo$840boo3$758boo55b5o7bo
13boo$758boo53boo5boo4bobo12bobo$813bo7bo4bo15bo$813boo7bo3bobbo$815b
oo6bo3b3o$818bo$818bo4bo13boo$819boobo14boo$766boo$766boo83boo$851boo
bboo$855bobo$804bo51bo$803bobo44boo$834bo3bo6boo3boo$803bobbo3bob3o17b
obbob3o5boo$805bo4bo24bobobo$806boboobobo9bobo7bo$807boo3bo4boo4b3obob
ooboo$808bo8boo6bobboo3bobo3bo$833bobo28boo$864boo3$865boo$865bobo$
866bo$$815bo$815b3o$807bo6bo3bo$807bo3b3o4bo$807bo3b3oboboo$811boo3bo
58boo$875boobboo$879bobo$880bo3$812boo$812boo4$888boo$875b3o10boo$874b
o3bo$873bo3boo$844bo29bo14boo$843boo7bo22b4o10bobo$842bobob3obbobo23bo
boo9bo$841b3o3boo3bo24bobbo$842boboboobobo26boo$843booboo$844bob5obo$
848b4o11boo$863boo$826bo72boo$452bo372boboo70boobboo$453bo375bo73bobo$
451b3o369bo3bobbo73bo$821bo9bo4boo$821bo4boobboo4boo$830boo15bo8b3o11b
oo$823bo5bo13boobobo7bo14boo$824bo4b3o17bo6boo12bo$825bo4boo12booboboo
7bobo$827b4o14bo12bobbo$845bo4bo7bobo51boo$845bo13bo52boo$822bo12boo8b
obbo$821boo7bo4boo10boo$820bobob3obbobo81boo$819b3o3boo3bo26boo54bobo$
820boboboobobo27boo55bo$821booboo$822bob5obo$826b4o4$923boo$923boobboo
$927bobo$928bo$$825bo$828bo6bobo$823bo11bobobo$822bo3bobbo10boboo$823b
3obbo10boobobo$824bo3bo13bobo$826boo15bo92boo$826bo109boo3$937boo$829b
oo106bobo$829boo107bo7$947boo$947boobboo$951bobo$952bo8$960boo$960boo
3$961boo$961bobo$962bo7$971boo$971boobboo$975bobo$976bo8$984boo$984boo
3$985boo$985bobo$986bo7$995boo$548bo446boobboo$549bo449bobo$547b3o450b
o8$1008boo$1008boo3$1009boo$1009bobo$1010bo7$1019boo$1019boobboo$1023b
obo$1024bo70$644bo$645bo$643b3o12$1160bo$1159bobo$1158bo3bo13b3o$1158b
o3bo8bo$1158bobob3o4boob3o$1159boobobbo5boboo$1163bobo8bo$1163boo11bo
bbo5boo$1176b3o6boo4$1186bo$1153bo31boo$1152boo7bo23boboboo$1151bobob
3obbobo23b3obooboo$1150b3o3boo3bo23bo3boobboo$1151boboboobobo24bo3bo$
1152booboo28bobbo$1153bob5obo3boo13boo4bo$1157b4o4boo13boo3$1178b3o$
1179boo5$1156bo$1159bo6bobo$1154bo11bobobo$1153bo3bobbo10boo$1154b3obb
o10bo$1155bo3bo$1157boo$1157bo$1097bo$1097boo$1096bobo$1160boo$1160boo
41$740bo$741bo$739b3o$1001bo$1001boo$1000bobo46$905bo$905boo$904bobo
23$798bo$798bo$798bob3o$800b3o$801bo13b3o$789bo11boo$788bobo11bo$787b
ooboo10boo13bo$788bobbo24boo$790b3o6booboo11b3o$790bobo7b3o12bo$791boo
7bo12bo$791boo20bo3boo$817boo$814bo$797boo16bobbo$788boo7boo16b3o$788b
oo$821bo$821b3o$823bo$823bo$776bo40boo$776bo13boo24bobbo$776bob3o9boo
25boo$778b3o$779bo11bo$779boo10boo4boo$780bo8bob3o3boo$780boo11boo$$
777booboo$778b3o$778bo$793b3o$791b6o$791boo3bo$793bobbo3boo$793b3o4boo
5$782boo$782boo3$794bo$792boo$793boo$$790boo$790boo!

This example is only usable for a period 288 input rake since it depends on using gliders from multiple positions in the input streams
to produce the fuse. To make it general, the paths of the gliders must be adjusted using reflections by extra Corderships so that a single input glider will produce a single fuse element.

I didn't finish doing this because of the flaw in the whole design. Unlike the similar diagonal c/4 multiplication convoy, the gliders in this convoy move forwards between the fuse elements to catch up to the Corderships. This means that a fixed sized convoy cannot be used to period multiply all input periods.

You might as well create high period rakes using the old boat-and-glider loop technology which is much smaller and simpler than this one.

Still, this looks pretty while running so that it isn't totally useless.

BCNU,
-dbell

[hotdogPi]

I'm not quite sure where to put this post, since these are infinite growths and not corderized.

Taking https://catagolue.hatsya.com/census/b3s23/all-soups and removing everything below 96 as well as 512 and 1024 (these are erroneous "negative infinite growths" that don't grow infinitely), here is the list:

[dbell]

I wanted to find a rake based on my recent beehive-glider loop adjustable Corderships. None of the suitable beehive creating reactions is complicated enough to perturb so as to liberate a glider.

So I looked for beehive creating reactions which also created a bit of junk. Here is a rake using a reaction which produces the suitable beehive along with a loaf and block.

Code: Select all

#C A diagonal c/12 adjustable period rake with minimum population of 437.
#C This uses four two-engine Corderships to turn a forward glider into a
#C beehive and back again, while turning some junk into sideways gliders.
#C This particular rake has a period of 1632 (96 * 17).  Advancing the
#C top three Corderships by 64 generations increases the period by 96.
#C Only every third adjustment maintains the minimum 437 population.
#C David I. Bell, 1 November 2025
x = 181, y = 173, rule = B3/S23
80bo$66boo7boobbobo$66b3o6b4o3bo$66boobobo7bo$69boo10boboo$81bobo$82bo
8boo$91boo4$54bo$52booboo$54bo$69boo$68bobbo$55boo11booboo$54bobbo11bo
$53boo3bo10b3o26boo$53bo4bo34boo3boo$53bo3bo36b3obboo$24bo29bobbo36boo
bb3o$25boboobobo22bo$19b3o3b4o3bo$25bobbooboo38bo$24bo42bo3bo$22b3o43b
obbo$22b3o17boo24booboo$42boo25bobo$70bo$$58boo$3b3o52boo$bbo$bo4boo$o
3bo15b3o27boo$obbo4bo4boo35boo$o3bo3bo4b3obo$boobob3o$4bo39bo21boo$5b
4o34b3obobo16boo$7boo11boboo17boo5boboo$20bobbo26bo$20b3o18bo5b3o$45bo
$43boo$43bo$37bo4bo$37bo4bo4$9boo$9boo7$17boo$17boo9$68bo$54boo7boobbo
bo$54b3o6b4o3bo$54boobobo7bo$57boo10boboo$69bobo$70bo8boo$79boo4$42bo$
40booboo$42bo$57boo$56bobbo$43boo11booboo$42bobbo11bo$41boo3bo10b3o26b
oo$41bo4bo34boo3boo$41bo3bo36b3obboo$42bobbo36boobb3o$43bo$$59bo$55bo
3bo$56bobbo$56booboo$57bobo$58bo$$46boo$46boo7$54boo$54boo10$154b3o$
153bo$153bo3bo$133b3o15boo3boo$133bo16bobbobobbo$134bo15bobbobobboo$
152booboobbo$153bo4bo$156booboo$155b4o$156boo13boo$171boo3$156bo$157bo
$156bo$$179boo$179boo$142bo18boo$142bo11bo5bobbo$142bo11bo5bobbo$146bo
7bo4booboo$142b3obbo12boo$141bo4bo$141bo3bo$142b3o3$141bobo$141bobo$
141bobo$141bobo$142boo8$161bo$146boo10bobbobbobo$146boo15bo$157bo5bobb
o$158bobo3bo$$160b3o$159booboo$158bo3boo$154boo3bobbo$154boo3bobo!

This is not the smallest high period Cordership rake known (which is the population 388 loaf-glider loop rake using a two-engine Cordership and two three-engine Corderships).

BCNU,
-dbell

[dbell]

My recent fleet puller growing spaceships used a rake which I don't think was shown before.

Here it is on its own to document it properly.

Code: Select all

#C A diagonal c/12 period 192 near-edge backwards rake.
#C The backward gliders are emitted 3.5 diagonal cells from the edge.
#C This is shown at its minimum population of 266 cells.
#C David I. Bell, 14 July 2025
x = 141, y = 78, rule = B3/S23
68b3o$67bo3bo$66bo4bo$65bo3bo$65bobbob3o$65bo7bo26bo$67bo3bobo26bo$67b
o3boboo25bo8bo$69b3oboo32bobo$85boo14b3obbo3bo$85boo15bob5o$108bo$103b
oo$69boo$69boo$70bo$$70bo22boo$86bo6boo$85bo$57b3o8bo16bobo$68bo5bo11b
o$61bo6bo3bo$57bo3boo8b3o$59bobo9boo$56b3o$58bo$103boo$57boo45boo$58b
oo43bo$58bo$51boo5boo$47boo3bo4boo$36b3o7bo6bo$24b3o12b3o5bo3b5o82bo$
23bo3bo11b3o6bo3bo86boo$22bo3boo12bo11bobbo82boo$23bo29boo$24b4o$26bob
oo$26bobbo$bbo24boo$ooboo$ooboo66boo$oo70boo$bboobo65bo$3bobbo$3bobbo$
4boo12boo18boo$18boo18boo3$21boobbo$bb3o15bobbobbo$21bobboo$bbobo16b4o
$3bo19bo22boo$4bo41boo$4boo$boboobo$b4oboo13boo$bb5o$4boo17bo$18boobb
oo$18boo4$6boo4boobboo$6boo4boboboo$11bobb4o$16bo$12bobbo$13b3o3$14boo
$14boo!

This was found by adjusting the phase of the rightmost switch engine in a sideways rake from the rakes-c12d.lif pattern in jslife.

I also found a few edge-spark spaceships using other adjustments.

Code: Select all

#C Some large diagonal c/12 edge-spark spaceships.
#C David I. Bell, 20 July 2025
x = 117, y = 335, rule = B3/S23
58bo$57b3o$$57b3o$58booboo$60bo$74boo$74boo$91bo$90boboo$58bo35bo$57bo
bo28bo3bobbo$58bo27bo9bo11b3o$86bo4boobboo$57boo23boo11boo$56bobo23boo
4bo5bo$75bo13bo4b3o$56b3obobo11bo15bo4boo12b3o$60b3o11boboo14b4o7boo3b
ooboo$46bobo11boo14boo24bobobboboboo$45bobbo24bobboo26bobbo3bo$46bobo
24bobo32bobbo$62boo10boo14boo16b3o$62boo8bobo15boo$48bo23boo$47boboo$
47boboo$46bo3bo24boo$47b4o24boo$26b3o18b3o$$30bo$26bo3boo12bo$28bobo
13boo$25b3o16bobo24boo$12bo14bo42bobo$12bo30boo27bo$12bo8bo4boo16boo$
19bobo5boo14bobbo$13b3obbo3bo4bo15b3o$14bob5o6boo$20bo5boo$15boo3$24b
oo$15boo7boo$15boo25boo$42boo$42bobbo$43bobo$4b3o36bo$45boo$8bo34bobbo
$4bo3boo34boo$6bobo$3b3o$5bo18boo$17boo$4boo12bobo$5boo12boo$5bo14bo$
5boo$4boo$$17b3o$16bobb3o$19boboo4boo$16boo4boo3boo$18b3obbo$19bo3bo$
20bobo$$9boo$9boo13$58b3o$58b3o$59bo$60boo$61bo$60bo14boo$75boo$$91b3o
$58boo35bo$58boo35boo13bo$59bo35bobbo11bo$59bo15bo20bobo11bo$58bobo15b
oo5boo11bo$57bo16bobo6boo10boo14bo$58bobboo11bo19bobo13bobo$59bo3bo11b
oo19boo11bo$46bo14boo14bo15boo14bobbo$46bo14bo13b3o17bo7boo3boobo$46bo
b3o25bo25bobobb3o$48b3o23boo28bo3booboo$49bo13boo26boo15bobboo$49boo
12boo8boo16boo16b3o$50bo22boo35bo$50boo$$47booboo24boo$48b3o25boo$48bo
$27b3o$17bo8bo3bo$16boo8bo3bo$15boboo7bo3bo12b3o$15bobboo23b3o$13b4ob
3o6booboo9boo4bo23boo$12bobbobobboo6bobbo9b3obobo22bobo$13bobobob3o7bo
bo10boo3bo24bo$14boob3obo8boo10b5o$14b4obbobo4bo3bo12bo$17bo3bo4bobobo
bo$17bo3bo5bo$17bobbo$$42boobbo$25boo$16boo7boo15bo3bo$16boo24bo$43bob
o$$43b3o$45bo$5b3o37boo$4bo3bo10bo24bobbo$4bo3bo10b3o23boo$4bo3bo11boo
bbo$19bo3b3o$5booboo9b6obo$6bobbo9boobboboo$7bobo11b3o$8boo12boo$5bo3b
o$4bobobobo$5bo$23boo$$19bo$18b3o7boo$18bo3boo4boo$22boo$21b3o3$10boo$
10boo10$58b3o$57bo3bo$56bo4bo$55bo3bo$55bobbob3o22b3o$55bo7bo21bobo$
57bo3bobo21b3o$57bo3boboo36boo$59b3oboo35bobboo$75boo10boo11booboo$75b
oo8booboo14bo$85boobboo10boo$84boo3boo11bo7boo$59boo24boobboo19boo$59b
oo25bobo$60bo$$60bo22boo$76bo6boo17b3o$75bo23b3obo$47b3o8bo16bobo22boo
boobboo$58bo5bo11bo23booboobobo$51bo6bo3bo39bo5bo$47bo3boo8b3o$49bobo
9boo$46b3o$48bo$$47boo$48boo$48bo$48boo$29bo17boo$27booboo$30boo$27b3o
15boo$29bo3bo10bobbo27boo$28bo3bo41bobo$29b3obo42bo$31boo$15bo6boo6bob
o10boo$14bobo3bo3bo6bo11b3obboo$13bo3bobo3boo5boo12bo$14bobobboboboo4b
3o11boo5bo$15bo3bobboo5boboo11bo4bo$19bo4bo3b5o11bo$20bobbo21bobo$22bo
23bo$$26boo$17boo7boo15b3o$17boo23bobbo$41bo4bo$41b6o$7bo37bobo$5boob
oo36b3o$8boo37boo$5b3o$7bo3bo$6bo3bo$7b3obo$9boo$8bobo8bo4bo$9bo9bo5bo
$8boo$7b3o$7boboo$6b5o9boo$22bo$20b3o$21bo$26bo$25boo$19boo4boo$19boo
3$11boo$11boo13$53bo$52bobo5bo$58booboo$52b3obbo3boo$58booboo21bo$58b
4o21bobo$72boo8bo3bo13b3o$72boo8bo3bo8bo$82bobob3o4boob3o$83boobobbo5b
oboo$87bobo8bo$87boo11bobbo$100b3o$104boo$45bo34boo21bobobb3o$44bobo
33boo23bo$43booboo67bo$43booboo7bo58bobo$42b3o10bo58bobo$42b3o3bo6bo3b
o55bo$42b3o4bo8bobo$43boo5bo8bo50boo$43b3o63bobbo$44boo64boo$24bo20boo
$24bo$24bo$25boo$25b3o$25boo45boo$47bo23bobo$73bo3$24bo$23bobo$7bo3boo
bboobo4bobbo$7bo3boo4boboo20boo$7bo3boobbooboo20b3o$11boo9bobbo14boo$
9bobbo9boob3o10boobboo$9bobo12boobbo9bobo$10bo14bobbo15bo$25bobo11boo
3bo$21boo16bo3bo$12boo7boo17boo$bbo9boo25b3o$bbo36bobo$bbo31boo$3boo
29boo$3b3o$3boo5$bbo$bobo$bobbo3$obbo$oob3o11boo$bboobbo10bobbo$3bobbo
9boobbo$3bobo9boo3bo$17boo$14booboo5$6boo$6boo!

I didn't post any of these before because they are large and inelegant, and I thought that I might find smaller spaceships to replace them.

BCNU,
-dbell

[dbell]

Inspired by the recent infinite glider hotel by EvinXL, I built a new one which runs at maximum capacity.

Code: Select all

#C A symmetric infinite glider hotel with two insertion points.
#C
#C The name is derived from the old mathematical "infinity hotel"
#C scenario, where a hotel with an infinite number of rooms always has
#C room for more guests by shuffling the old guests around.
#C
#C Here two Corderships are pulling slowly apart at c/12 such that
#C there is an ever-lengthening glider track between them.
#C Every 128 generations two more gliders are injected into the
#C glider track in opposite directions, joining the gliders already
#C circulating there.  Eventually an arbitrarily large number of
#C gliders will be traveling around the track.
#C
#C The tricky bit to this construction is that even though all the
#C previously injected gliders are repeatedly flying through the
#C injection points, the points are guaranteed to be empty when it is
#C time for the next glider to be injected.  This is due to the fact
#C that the reflected gliders are spaced out to be at even multiples
#C of a period 64 glider stream, whereas the new gliders are inserted
#C at the odd multiples of a period 64 glider stream.
#C
#C David I. Bell, 30 March 2026
x = 128, y = 127, rule = B3/S23
98bo$97b3o$96b3obo$97bo3bo$98bo3bo$99bob3o$100b3o$101bo$$86bo9bo8bo$
95bobo3bo$84bob3o7bo3bo5bo$86boobo10bo4boo$86boboo9bo$87b3obo8bobbo$
100boo$89bo3$94boo$94boo3$95b3o$94bo3bo$94bo3bo$69boo23bo3bo$13bo55bob
o23b3o$12bobo57bobboo$12bobboo53boobobbo3bobo19bo$10b7o14bo37boboboo5b
oo19bobo$9bobbo3bo14bo38bo10bo6bo5bo7bo$8b3obb7o11bo31boo22b3o3b3o$10b
3obbo8bo39bo21bobobobobobo$11booboo8bo39bobo9boo7booboboboboboo$12b3ob
obbo45boo9boo7bob4ob4obo$13b3oboo13boo5boo44b5o3b5o$16bo13boobo5boo$bb
o26bo3bo$ooboo24bobboo39boo4boo8booboo$3boo25b3o40bobo3bobo6bobobobo$
3o15boo11bo42bo6bo7bo3bo$bbo3bo10bobbo43boo15boo$bo3bo58bo$bb3obo54boo
bo7bo$4boo55bobooboo5bo$3bobo10boo48bo4b3o$4bo11b3obboo43bobo$3boo12bo
49boo$bb3o11boo5bo$bboboo11bo4bo$b5o11bo50bo$18bobo29bo17b3o$19bo31bo
19bo$49b3o18boo$34bo51boo$16b3o15b3o23b3o23boo24boo$16b3o18bo5boo15bo
12boo37boo$19boo15boo5boboboo12bo10bobbo13boo$15b3obbo24bobo25boo14bob
o$39boo4bobo43bo$6boo12bo16boboo3bobo44boo$6boo7boo3bo16boob3obbo62bob
o$16bobbo21boo42boo21bobbo$17bobo62bobb3oboo16bo3boo7boo$35boo44bobo3b
oobo16bo12boo$36bo43bobo4boo$36bobo14boo25bobo24bobb3o$37boo13bobbo10b
o12boobobo5boo15boo$14boo37boo12bo15boo5bo18b3o$14boo24boo23b3o23b3o
15b3o$40boo51bo$56boo18b3o$56bo19bo31bo$57b3o17bo29bobo$59bo50bo11b5o$
105bo4bo11boobo$104bo5boo11b3o$59boo49bo12boo$59bobo43boobb3o11bo$54b
3o4bo48boo10bobo$54bo5booboobo55boo$55bo7boboo54bob3o$63bo58bo3bo$45b
oo15boo43bobbo10bo3bo$34bo3bo7bo6bo42bo11boo15b3o$33bobobobo6bobo3bobo
40b3o25boo$34booboo8boo4boo39boobbo24booboo$94bo3bo26bo$87boo5boboo13b
o$30b5o3b5o44boo5boo13boob3o$30bob4ob4obo7boo9boo45bobbob3o$30boobobob
oboboo7boo9bobo39bo8booboo$31bobobobobobo21bo39bo8bobb3o$32b3o3b3o22b
oo31bo11b7obb3o$25bo7bo5bo6bo10bo38bo14bo3bobbo$24bobo19boo5boobobo37b
o14b7o$25bo19bobo3bobboboo53boobbo$51boobbo57bobo$30b3o23bobo55bo$29bo
3bo23boo$29bo3bo$29bo3bo$30b3o3$32boo$32boo3$38bo$26boo$24bobbo8bob3o$
28bo9boobo$21boo4bo10boboo$21bo5bo3bo7b3obo$26bo3bobo$22bo8bo9bo$$26bo
$25b3o$24b3obo$25bo3bo$26bo3bo$27bob3o$28b3o$29bo!

Because the slots for the gliders are all full it is easier to see how this one works since there are no gaps to confuse you.

BCNU,
-dbell

[wwei47]

russelsprouts observed that a P64 glider stream can support a single switch engine:

Code: Select all

x = 47, y = 45, rule = B3/S23
8b2o2$7bo3bo$6bo4bo$5bobobo$4bobobo$2bo4bo$2bo3bo2$4b2o$10bo9bo10b2o$
9bobo7bobo9b2o$2o2b2o4bo7bo3bo$2o2bobo10bo3bo$4bo2bo8bo3bo$5b2o8bo3bo$
16bobo12b2o$9b2o6bo13bob2o$33b2o4b2o$31b2o6b2o$5b3o21b2o$4bo3b2ob3o15b
2o$4bo4bo20bo$4bo2b2o17b2o$5bo2bo11bo5b3o$5bo2bo12bo3bo$6bobo10b3o3b2o
15bo$7bo20bo11b2obo$26bobo11bo4bo$27bo13bo3b2o$4bo38b4o$3bobo21bo$4bo
22bo$13bo3bo26bo$12bobobobo24bobo$11bo2bobo2bo24bo$10b2ob2ob2ob2o$9bo
3bo3bo3bo$8bo2bob2ob2obo2bo4b2o$11bo7bo7b2o$13b2ob2o23bobo$8bo5bobo5bo
18bo2bo$9b2ob2o3b2ob2o19bo2bo$44bo$43b3o!

Here's a way to support it with corderships instead.

Code: Select all

x = 96, y = 79, rule = B3/S23
15bo$14bobo$14bobo$14bo2bo$15bobo$18bo$17b2o$17bo13b2o$31b2o$65bo$48b
3o8bo5bo$15bo31bo3bo6bo7bo$14bobo31b2o9b4o2b2o$16bo33b2ob2o9b3o$16bo35b
2o11bobo$16bo22b2o25bo7b2o$39b2o25bo7b2o$17bo$13b2ob3o$2bo12b3ob2o$bo
bo14bo$o3bo28bo41b2o$bobo25b2obob2o38bo2b2o$2bo29bob2o37b2o3bo3b2o$28b
o5b2o37b2obobo3b2o$2b4o22bo4bo37b3o2b2o$bo4bo20bo4b3o35b3o$3bo24bo4bo
35b2o$o3bo2bo25bo31b2o2b2o$ob3obo23b3o$b3obo59b2o2bo$67b3o$29b2o$29b2o
39bo$69b2o$25b3o40bob2o$25b3o40bo2b2o$24b2o2b2o36b4ob3o$27b2o36bo2bob
o2b2o$23bo2b2o38bobobob3o$6b2o17bo41b2ob3obo$6b2o14bo44b4o2bobo$20bo2b
o46bo3bo$19b2ob2o46bo3bo$19bo2bo47bo2bo12b2o$19bob2o63b2o$20b2o2$14b2o
$14b2o2$51bobo$51bobobo7bo30b2o$50bo2b2obo4b3o30b2o$51b2o3bobob2obo$51b
2o3b2ob5o$55bob2o3b2o24bo$54bobo31b2o$87bo2bo$88bobo$88b2o2$80bo$80bo
$79bobo$79b3o2b2o$79bo5bo$58b2obo8b3o7b3o2bo$54bo3b6o4bo3bo7b4obo$53b
o5bo4b3ob3o5bo2bo2b2obo$53bo12bo5bo4b8o$54bo9bo3b2obo4b3obob2o$59bo8b
2obo$59bo2bo7b2ob2obo$61bo13bo$72bob2o$73bo$61b2o$61b2o!