I figured out how to create the period doubling gun needed for the lineship sawtooth!
Here is the working sawtooth.
Code: Select all
#C A sawtooth based on a Cordership line-puffer and a caber tosser.
#C The caber tosser emits gliders at generations 51072 * 2^N.
#C Its output and a few preceding gliders repeatedly ignites the
#C diagonal line left by a receding line-ship.
#C The minimum repeating population is about 4621 cells.
#C David I. Bell, 15 August 2026
x = 16046, y = 15950, rule = B3/S23
343b3o$342bobbo$341bo4bo$341bobb3o$341bo5bo$342b7o$348bo$348bo$346boo
3$359b3o7$325b3o$298b3o23bo3bo$323bo4bo$296bo5bo20bobbobo$287bo8b7o12b
o7boobobo$298bo17boo7boobobbo$291bo6bo3bo13boo9boobbo$297bo17boobo9b3o
11b3o$283b3obo10bo18b3o24bo$283b3obo11bo4bo11boboo23bo$284bo8boo4bo4bo
11boo30bo$285bo3b3oboo3boobobo12bo6boo23bobo$286bo6bo3bobo23boo23boo$
287bobobobo4bo$288bo3$296boo$287boo7boo$287boo$313b3o$316bo$315boo$
276b3o38bo$315b3o$274bo5bo10bo23bobbo$274b7o11boboo20boo$276bo15b4o$
276bo3bo10boob3o$275bo13b3o4boo$276bo13bobo3boo$277bo4bo8b3o$277bo4bo
8b3o$276boobobo$275bobo$276bo$$290bo$289bobo$288boobobo5boo$290bob3o4b
oo$292bobbo$293boo37bo$293bo38bobo$332boo$281boo$281boo3$264b3o$263bo
37b3o$262bo4boo32bobbo$261bo3bo15b3o20bo$261bobbo4bo4boo25boo$261bo3bo
3bo4b3obo21bobo$262boobob3o31bobb3o$265bo36boobbo$266b4o20boo10bo3bo$
268boo11boboo5boo11bobo$281bobbo20bo$281b3o18bobbo$302bo$302bo$303bobo
$262bo41bo$257bobbobobbo3bo$257bo4boob5o$257bo3bo4bobo46bo$273bo40bo$
259b3o11bo40b3o$235b3o22bo12bo3bo$244bo31bobo$237boo5b3o30bo$237b4o4bo
44boo$237boob3oboo43bobo24bo$242bobo46bo24bobo$316boo3$219bo$218bobo$
217bo3bo$218bobo19boo$219bo13bo5boo$235bo3b3o$219b4o9bo3bo3bo$218bo4bo
9b7o$195b3o22bo13b3obbo$195bobo19bo3bobbo12bo$195b3o19bob3obo14boo18b
oo$211boo5b3obo12bobbo18bobo$210bobboo21boo21bo$197boo11booboo$195boob
oo14bo$195boobboo10boo$194boo3boo11bo27boo$195boobboo39boo10bo$196bobo
50b4o$249boo$251boobo44bo$252booboo41bo$212b3o37boobbo41b3o$209b3obo
40boo$210booboo$210booboo$212bo$300bo$200boo98bobo$200boo44boobbo49boo
$249bobo$248bo16bo$265bo$250boo13bo$$251boo12boo$208boo40bo13bobbo$
208boo38booboo11bobo6boo$251boo10boo8boo$249bo13bo$172b3o91boo$172bobo
91boo$172bobo14boo75boo$172bo4boo9bobbo71boobo$171b3o3boo10b3o72b3o$
177bo12boo73bo$173b4o13bo68bo15boo$174boo12boboo66bobo13b6o$174bo13b4o
69bo12b3obbo$188bobobo60boobboobo16b3o$175bo13booboo3boo54boo5bobo6b3o
$173bobo12bo3bo4boo61bobo8bo$172b4o13b3o51bo15bo3bo7bo11bo$172b3o15bo
49b4o14boo7boboo11bo$174bo83booboo3boo14b3o$260bo$188boo$187bobbo52bob
o$186bo57bo$185bobbo38bo14boo12bobo25bo$185bo23bo17bo5b3o6bobbo11bo26b
obo$185b3o21bo16bobo3boobbo4booboo38boo$166bo10bobo47bo3bo5bo$165bobo
8bobbo47bo3bo$164booboo7bobb4o49bobboo$164boo10bob5o4b3o43boo$170boo5b
3obo7bo$164b3obbo18bo$168boboo67boo$117bo48bobbo68bobbo$115booboo49bo
69boo$115booboo47boo$115boo$117boobo46bo$118bobbo43booboo70bo$118bobbo
46bo61boo9boo$119boo12boo30bo63bob3o8boo3boo$133boo32bo61bo3bo10bobobb
o$230boobo5b5o3boo$231bo10bo$161bo$117b3o36bobbobobbo3bo$156bo4boob5o
8boo41bobo$117bobo36bo3bo4bobo9boo41bobobo7bo$118bo22boo76bobboobo4b3o
34bo$119bo21boo15b3o59boo3boboboobo33bo$119boo38bo60boo3boob5o33b3o$
116boboobo102boboo3boo$116b4oboo100bobo$117b5o76boobo$119boo64boo10b3o
bo6bobo$185boo9bo4bobo4bo59bo$109b3o85boo6bobo3bo56bobo$108bo3bo85bo3b
obbobboo11bo46boo$107bo3boo88boboo3bo11b3o$108bo91bobo17bobbo$109b4o
14bobo6bo38boo23bobo16bo4bo$111boboo21bo37booboo41bo$111bobbo12bobo33b
oboo7booboo$112boo45b3oboobo9b3o41bobbo$160bo3bobo54bobo$152bo$217bo$
111bo36bo7bo59b3o$111bo36bo8bo57booboo$110bobo34bo4boo3bobboo43bo8boob
o5bo$111bo36bobo6bobboobbo35bo3b5o4boo6boo$111boo35boboo10bobo34bobo7b
oobboo7boo$111b3o48b3o34bo7boboo48boo$114bo38bo46bo8boo47bobbo$109bobo
bbo86bo3b4o49bobbo$108bo3boo92b3o50boo$109boobb3o19bo127boo$114boo17b
ooboo124bobbo$135bo15bo110bobbo$107bo43bo55boo40boo12boo$96b3o7bobbo
11boo28bo55boo41boo15boo$99b3o5boboobb3o5boo13boo99boo10bo17bobo$99b3o
6bo3bo22bobbo14bo84boo30bo$100bo11bobbo18boo3bo12bobo82bo33bo$113boo
19bo4bo13bo118bo$134bo3bo134bo$135bobbo118bo14boo$136bo27bobo90boo$
129boo33boo90bobo16boo$129boo34bo109bobo$123bo154bo$123boo154bo$121boo
bbo154bo$119bo4boo155bo$119b3o158boo$119boo96boo$139boo77boo63boo$139b
oo64boo10bo65bobo$90boo114boo78bo$89bo115bo81bo$89bobbo195bo$87boob4o
195bo$86bo138bo62boo$86bo3b3obbo129boo$86bobbobbob3o50boo75bobo64boo$
88boo4b3o42bo7boo142bobo$90boobobo41booboo152bo57boo$79bo11boobo42boob
oo153bo46bo3boo4b3o$77booboo12bo42boo143bo13bo45boboobbo6bo$80boo57boo
bo131b3o3b4o13bo44bobb5obb4o$77b3o60bobbo130bobo3booboo11boo48b3o3b3o$
79bo3bo56bobbo41boo87b3obbo65b3o$78bo3bo12bo45boo43boo91boo3bo14boo44b
oo17boo$79b3obo11bo77boo10bo94b4o15bobo43bo18boo$81boo12bo78boo105b3o
10boo6bo$80bobo90bo120boo7bo$81bo15bo206bo20bo$80boo14bobo40b3o163bo
18bobo$79b3o15bo95bo110boo18bobboo$79boboo56bobo6bobo42boo127b7o14bo$
78b5o57bo7boo42bobo112boo12bobbo3bo14bo28boo$141bo7bo85bo71bobo10b3obb
7o11bo28boo$141boo93boboobobo58boo6bo11b3obbo8bo$138boboobo86b3o3b4o3b
o45bo12boo7bo11booboo8bo$138b4oboo91bobbooboo34boo9b3o20bo11b3obobbo
39boo$104bobo32b5o91bo41bobobo7b3o21bo11b3oboo13boo22b3obo$104boo35boo
37b3o50b3o41bo3boo5bo3bo19boo14bo13boobo22b6o$105bo47boo24bo53b3o17boo
23boo8b4o49bo3bo26bo$48boo3b4o97boo23bo3bo34boo33boo23b3o7boboo23boo
24bobboo18boo3bobbo$43b3obobbo6bo95bo23boo3boo30boo3bo95bobo24b3o20boo
bbobbo$47bobbobb5o25boo91bobbobobbo18b3o7bo6bo97bo24bo21boo$47bobbo32b
oo91bobbobobboo20b3o5bo3b5o45bo6boo42bo45bo$49bo128booboobbo20b3o6bo3b
o47bobo3bo3bo42bo$46bobo17boo111bo4bo22bo11bobbo43bo3bobo3boo43bo$47bo
18boo93bo20booboo33boo7boo36bobobboboboo42boo$161boo18b4o44boo30boo5bo
3bobboo$32bo127bobo19boo13boo36bo25boo9bo4bo45boo$29b4o164boo36bo37bo
bbo46bobo5boo$91boo142bo39bo50bo4boo$39boo50boo167bo66bo$39boo198bo18b
4o66bo$32bobo16boo4boo3boo15b3o6bo150bo17bo3boo66bo$33bo16bobbobbo6bo
16boo3boobo171b3o65boo$31boo18boobobboobbo17boo5bobo32boo40boobo86bobo
bo3bo$31bobbo16booboobbobbo22b3obo33boo38b3obo6bobo29boo23bo22bo5boo
11bobbo55boo$30booboo17bobo32boo32bo39bo4bobo4bo31boo22bobo44bo54bobo
5boo$53bo7bobbo97boo6bobo3bo32boo28bo15bo3bo12bo3bo57bo4boo$60boo101bo
3bobbobboo34boo26bobo9boo5boboo13b4o58bo$38boo21b3o102boboo3bo63bobo9b
3o6boo76bo$38boo125bobo30b3o45boo4bo84bo$26boo3b4o94bo35bobo33bo134boo
$21b3obobbo6bo24boo67boo67bobbo$25bobbobb5o24boo66bobo68boo127bobbo7b
oo$25bobbo213boo88bo6bobo$27bo163bo25boo22bobo84bo3bo9bo$24bobo163bobo
24boo24bo85b4o10bo$25bo169bo148bo$190b3obbo149bo$81b3o107bobboo138b3o
9bo$86bobboo79bo10boo9b4o140bo10bo$85boo3boo73bo3b5o5bobboo7bo4bo138bo
12bo$89bo74bobo7boob3oboo3boobbo5bo152bo$164bo7boboobbo3boo4bobb5o154b
o$148bo16bo8boo3boobo5bobbo152bo6bo$148bo17bo3b4o6bobo5bo154bobo6bo$
41b3o104bo22b3o7boobo158bobbo6bo$30b3o7bo3bo52bo53boo30booboo156boo8bo
$25boo3b4o7b4o52boo52boo12boo16b3o169bo$24boo3bo4bo9bo51bobo47bo3b3o
11boo190bo$29booboo11boo100b3o15bo6boo36boo145bo$29b4o12boo101bo15b3o
5boo35bobo146bo$30bo14bo101boo15b3o44bo147bo$24bo122b3o16bo193bo$23boo
124bo14bobbo193bo$22boboo121bo16b3o5boo128b3o45bo11bo$22bobboo5boo115b
o15bo6boo130bo44bobo11bo$20b4ob3o4boo113b3o153bo28bo16bobo12bo$19bobbo
bobboo302b3o16bo14bo$20bobobob3o302boboo31bo$21boob3obo303b3o25bo6bo$
21b4obbobo104bo197boo25bobo6bo$24bo3bo104bobo46boo175bobbo6bo$24bo3bo
36bo66bo3bo26boo195boo8bo$24bobbo37boo65bo3bo25bobboo13bobbo187bo$64bo
bo65bobob3o23b5o205bo$133boobobbo22b3obo8boobbo3bo189bo$137bobo23boobb
oo8boboobbo190bo$137boo25bo3bo206bo$166boobo10boo194bo$166bobo208bo$
166boo102b3o31bobo59bo11bo$5bo156bobboo105bo30bo61bobo11bo$4bobo153b3o
108bo32bobbo36b5o7bo8bobo12bo$4bobboo150b4o3b3o107bo29bobo33boo5boo4bo
bo8bo14bo$bb7o150bobo4b3o106boo32bo11b3o18bo7bo4bo26bo$bobbo3bo19bo
131b3ob4o106b5o29b3o31boo7bo3bobbo17bo6bo$3obb7o14boo131bo3boo108bo19b
o14bo35boo6bo3b3o16bobo6bo$bb3obbo19boo130bo3bo108boo5bo13bo12boo39bo
27bobbo6bo$3booboo25bo125bobbo108b3oboo8bobo5bo14bo13b3o22bo4bo13boo8b
oo8bo$4b3obobbo21boo104boo13boo4bo111boboboobboo3bobo18bobbo12b3o23boo
bo14boo19bo$5b3oboo21bobo104boo13boo109b3o5bobbobboo5bo19bobo13boo64bo
$8bo121bo134b3o7boo29bo14bo67bo$116boo7boobbobo134bo10boobo20boo13boob
oobbo66bo$116b3o6b4o3bo19b3o112boo11bo12b3o5boo12bobobbo3bo66bo$116boo
bobo7bo23boo113bo22boobbo21bobbobbo9bo58bo$119boo10boboo132bo24b3o26b
3o8bobo58bo$131bobo104b3o52bo69bo3bo6boo6bo11bo$132bo8boo4boo91bo91bo
bbo3bob3o17bobbob3o5boo5bobo11bo$105b3o33boo4boo90bo34boo58bo4bo24bobo
bo12bobo12bo$265boo7boo59boboobobo9bobo7bo19bo14bo$109bo155boo69boo3bo
4boo4b3obobooboo35bo$105bo3boo226bo8boo6bobboo3bobo3bo30bo$13b3o91bobo
180bo5boo64bobo35bo$104b3o7boo172boo7boo102bo$106bo7boo180boo104bo$
254bo40boo106bo$105boo28b3o115boo12boo26bo28bo79bo$106boo24boboo116b5o
10boo4bo49b3o79bo$106bo24bo3bo115bo21b3o47boboo58boo3b4o12bo$106boo23b
o3bo114boo5bo16boo48b3o53b3obobbo6bo12bo$105boo25b3o114b3oboo10boboo5b
oo48boo18bo39bobbobb5o13bo$250boboboobboo6booboobbo70b3o37bobbo21bo$
113boo91b3o42bobbobboo6boobboo65bo6bo3bo38bo23bo$108bo4boo93bo44boo14b
o66bo3b3o4bo35bobo17boo6bo$94boo7boobbobo97bo47boobo10b4o63bo3b3oboboo
36bo18boo7bo$94b3o6b4o3bo147bo10boobbo66boo3bo67bo$94boobobo7bo161boo
bbo140bo$97boo10boboo157b3o142bo$109bobo159bo101b3o40bo$110bo261bobbo
41bo$277boo92bo4bo41bo$277boo62boo28bobb3o34boo6bo$341boo28bo5bo22bobo
8boo7bo$372b7o20bo3bo17bo$378bo10b3o7bo4bo17bo$117bo156boo102bo5boo3b
4o6bo4bo18bo$116bobo140boo14bobo98boo5boo3bo4bo6bo3bo19bo$119bo139boo
16bo110booboo7bobbo21bo$174b3o94bo3boo111b4o34bo$116bo59bo93bo3boo113b
o37bo$108b3o64bo95b3o101bo52bo$99boo5bo3b5obo257bobo52bo$99boo6boo4boo
bboo254boobo53bo$107bob6o161boo95boo56bo$267boo6bo98b3o55bo$267boo6bo
bbo96bo57bo$273boob4o96bobbo54bo$272bo20b3o77bo6bo54bo$272bo3b3obbo91b
o6bo55bo$107boo163bobbobbob3o3bobo84bo4b3o56bo$107boo165boo4b3o4bo150b
o$103bo172boobobo157bo$95b3o3b4o172boobo14bo6boo136bo$95bobo3booboo
174bo12b4o5boo137bo$95b3obbo41b3o147bo3bo145bo$100boo3bo38bo147bobbo
147bo$101b4o38bo149b3o6bo13bo61boo64bo$102b3o196boboob3o6b3o60boo65bo$
303b4o8boboo127bo$300b3obbo4boo4b3o70bo57bo$307bo8boo71boo57bo$304boo
4boo78bo58bo$306b3o82bo58bo$389bobbo58bo$282boo4bo103bo59bo$282boobboo
boo4bobo94bo60bo$81b3o185bo19boo4bobbo155bo$81bobo184bobo20bo3bobbo
156bo$81b3o184bobboo14boboo5boo158bo$266b7o14bo169bo$110b3o152bobbo3bo
14boboo167bo$83boo27bo151b3obb7o11boboo168bo$81booboo13bo11bo154b3obbo
14boobo170bo$81boobboo12bobo165booboo15boo71bo100bo$80boo3boo12boo167b
3obobbo84bo101bo$81boobboo182b3oboo85bo102bo$82bobo187bo90boo99bo$363b
oo12boo86bo$358bo3b3o11boo88bo$250bo108b3o15bo89bo$249b3o14boo78b3o11b
o15b3o89bo$248bo10bobbo4bo77bo3bo9boo15b3o90bo$249booboo6b3obbobbo75bo
4bo9b3o16bo91bo$250b3oboo5boobbobbo74bo3bo13bo14bobbo91bo$252b4o9bobbo
74bobbob3o8bo16b3o5boo86bo$89bo176b3o74bo7bo9bo15bo6boo87bo$89bo255bo
3bobo7b3o112bo$89bo255bo3boboo122bo$347b3oboo123bo$259bo103boo112bo$
258bobo102boo113bo$246bo11bobo218bo$245b3o11bo114bobo103bo$347boo25bo
bbo103bo$245b3o99boo25bobbo104bo$246booboo97bo25bo3bo104bo$248bo59bo
66bobo106bo$267bo39b3o38bo27bo108bo$266bobo38boboo175bo$222b3o41bobo
39b3o176bo$223bo43bo40boo10bobo23bo5b3o133bo$223bobbo92bo26bo7bo134bo$
223bobbo93bobbo22bo5bobo10boo123bo$224bobo95bobo27boo10bobbo123bo$239b
oo84bo11b3o23bo3bo124bo$239boo83b3o38boo126bo$245bo78bo169bo$244b3o75b
oo35bo135bo$223bo19booboo76bo13b3o16boo137bo$222bobo18bobo45bo30bobbo
12b3o5boo3boobboo5bo134bo$223bo19bo48bo29bobo13boo6boo3boo4boo139bo$
290b3o29bo14bo23bo137bo$267b3o65boobbo18b4o138bo$221b4o40b7o6bo57bo3bo
9bo6bobo141bo$221boo3bo13bo23b9o4bo58bobbo10bo5bobboobo139bo$222bo4bo
11bobo21bo7b3obboo59b3o7bo9bo4bo140bo$224boboo11bo24b3o6bo3bobbo31boob
o27boo6bo6bo145bo$225bo15boo22boo11b3o30b3obo6bobo19b4o11bobbo142bo$
242bo25bo10bo30bo4bobo4bo25bo3bo6boo145bo$239b3o27bo18boo21boo6bobo3bo
23bo157bo$240boo28bo17boo22bo3bobbobboo26bobo155bo$237bo77boboo3boboob
o11b3o9bo157bo$237boo75bobo8bobo11b4o167bo$237boo75bobo21boobboo167bo$
227boo6boo102boobo169bo$227boo4boo20bo83b3o171bo$233boobo18bo84bo173bo
$235boo18bo8bo23b3o5boo217bo$262bobo20boobobo5boo218bo$256b3obbo3bo19b
obbobo226bo$257bob5o10boboo5b3o232bo$263bo4boo4bobo3booboo18b3o26boo
185bo$235boo21boo8boo6boob3obbo18bo15bo9bob4o185bo$235boo67bo9bo3b5o5b
oobo3boo184bo$313bobo7boo4bobbooboo185bo$313bo7boboo5b6o187bo$314bo8b
oo6bo192bo$315bo3b4o202bo$320b3o203bo$527bo$528bo$266bo85bo176bo$265b
4o52boo29bobo175bo$263b5obo51boo29boo177bo$257b3obbo6boo261bo$261bo3bo
b3o263bo$262bobobboo265bo$319b3o213bo$319bo216bo$320bo216bo$538bo$539b
o$263boo275bo$263boo276bo$542bo$543bo$544bo$545bo$546bo$547bo$548bo$
549bo$550bo$335b3o213bo$295bo39bo216bo$294bobo27bo11bo216bo$293booboo
26bo229bo$294bobbo26bo230bo$296b3o22bob3obo228bo$296bobo22bob5o229bo$
297boo26bobo230bo$297boo12boo9boo235bo$311boo9boo236bo$323bo237bo$323b
oo237bo$295bo28bo3boo233bo$279boobo11bobo27bo239bo$278b3obo9b3oboo24bo
boo239bo$277bo4bobo8bob3o25bo242bo$278boo6boboobbo26boo246bo$279bo3bo
bbo4b3o25boo247bo$282boboo6bobob3o270bo$281bobo9boo4bo11boo257bo$281bo
bo9bobo3bo10bobboo256bo$292b3ob4o10bo4bo256bo$294bo19bo258bo$273bo9boo
7boo17bobbo259bo$272bobo8boo26b3o261bo$271booboo300bo$272bobbo29boo
270bo$274b3o28boo271bo$274bobo302bo$275boo303bo$275boo304bo$582bo$583b
o$584bo$273bo311bo$274bo311bo$274boo311bo$273b3o312bo$589bo$590bo$274b
3o11bo302bo$272bo4bo8booboo301bo$272boo3bo10bo304bo$274b4o11bo304bo$
288boo305bo$287bobbo305bo$288boo307bo$598bo$599bo$600bo$277boo322bo$
277boo323bo$603bo$604bo$605bo$606bo$607bo$608bo$609bo$610bo$611bo$612b
o$613bo$614bo$615bo$616bo$617bo$618bo$619bo$620bo$621bo$622bo$623bo$
624bo$625bo$626bo$627bo$628bo$629bo$630bo$631bo$632bo$633bo$632boo$
635b3o$635bo$636bo1594$2231b3o$2231bo$2232bo3190$5423b3o$5423bo$5424bo
6382$11807b3o15boo6bo11boo$11807bo16bobbo4bobo10boo$11808bo11boobb3obo
3bobo$11820bo6bobobooboo$11818bobo3boo3bobo$11818boo4bob4obboboo$
11826bo3boboboo$11825bo3bobo$11824bo3bobo$11809bo14boo3bo$11808bobo$
11809bo$$11837boo$11837boo$11814bo37boo$11813bobobo33bobbo$11808boo3bo
4bobb3o28boobo$11808boo4bo4bobobo31bo$11821boo32boo$11840boo$11816b3o
5boo15bo$11824boo12b3o$11831boo5bo$11831bobo$11833bo$11833boo3$11809b
oo15bo$11808bobo14bobo$11808bo16bobo$11807boo17bo$11821boo$11820bobo$
11820bo$11819boo15$11801bo$11801b3o42boo$11804bo42bo$11803boo42bobo$
11848boo$$11792booboo$11792boobo$11795bo$11795b3o4boo$11793boo3bo3boo
43boo$11792bobb4o48boo4boo$11792boobo15boo40boo$11793bobb3o12bobo$
11793bo5bo13bo$11794b5o14boo$11796bo55boo$11848boobboo$11847bobo$
11847bo12boo$11846boo11bobo$11859bo$11858boo5$11860boo$11859bobo23bo$
11859bo23b3o$11858boo22bo$11866boo14boo$11866boo10$11885boo$11880boobb
obbo$11865boo13bobobboo$11864bobo16boo$11864bo19bo$11863boo16bobboboo$
11880boboboobo$11881bobo$11882bobboo$11883boob3o$11889bo$11883boob3o$
11883boobo$$11875boo$11866boo7boo$11867bo$11867bobo$11868boo$$11865bo$
11863b3o$11862bo25boo$11862boo24boo5$11873bo$11872bobo$11852boo18bobo$
11851bobo5boo12bo$11851bo7boo9b3o$11850boo18bo$$11864bo$11860boobobo$
11859bobobobo$11856bobboboboboo$11856b4oboobbo$11860bo4bo$11856boobbob
3o$11856boo3boo4012$16029boo$16023boo4boo$16022boboo$16022boboo$16023b
o$$16023boo$16021booboo$16018bobbo3bo11boo$16017bobobb3o12boo$$16017bo
3bo$16021bo$16017bo$16017bobo$16018bo$$16013bo$16012bobbo$16015bo27bo$
16012bo28boobo$16012bobo27bo$16014bo22boo3bo$16010bo3boo26boo$16009bo
4boo27bo$16010bobboo28boo$16012bobo28boo$16039bobo$16039b5obo$16023b3o
4bo8bob3obo$16023bo6bo11bo$16023bo6bo11bo$16024bobbo14bo$16004boo22bo$
16004boo21b3o$16029boo$16027boboo$16027bobo$16028bo3$16012boo$16012boo
12boo$16025bo$16025bo$16025b7o$16026bo5bo$16027b3obbo$16027bo4bo$
16028bobbo$16028b3o!
It is so nice to finally get this to work.
EDIT:
A rearrangement of the Cordership and glider in the caber tosser allows it to produce a lower period glider at the start, which allows the initial length of the sawtooth to be halved.
The smaller version barely fits within an expanded life viewer window, so now you can see it even though you can't run it there.
Code: Select all
#C A sawtooth based on a Cordership line-puffer and a caber tosser.
#C The caber tosser emits gliders at generations 25536 * 2^N.
#C Its output and three preceding gliders repeatedly ignites the
#C diagonal line left by a receding line-ship.
#C The minimum repeating population is about 4621 cells.
#C This is a smaller version of a previous line ship sawtooth.
#C David I. Bell, 16 August 2026
#C [[ MAXGRIDSIZE 14 ]]
x = 16046, y = 15950, rule = B3/S23
343b3o$342bobbo$341bo4bo$341bobb3o$341bo5bo$342b7o$348bo$348bo$346boo
3$359b3o7$325b3o$298b3o23bo3bo$323bo4bo$296bo5bo20bobbobo$287bo8b7o12b
o7boobobo$298bo17boo7boobobbo$291bo6bo3bo13boo9boobbo$297bo17boobo9b3o
11b3o$283b3obo10bo18b3o24bo$283b3obo11bo4bo11boboo23bo$284bo8boo4bo4bo
11boo30bo$285bo3b3oboo3boobobo12bo6boo23bobo$286bo6bo3bobo23boo23boo$
287bobobobo4bo$288bo3$296boo$287boo7boo$287boo$313b3o$316bo$315boo$
276b3o38bo$315b3o$274bo5bo10bo23bobbo$274b7o11boboo20boo$276bo15b4o$
276bo3bo10boob3o$275bo13b3o4boo$276bo13bobo3boo$277bo4bo8b3o$277bo4bo
8b3o$276boobobo$275bobo$276bo$$290bo$289bobo$288boobobo5boo$290bob3o4b
oo$292bobbo$293boo37bo$293bo38bobo$332boo$281boo$281boo3$264b3o$263bo
37b3o$262bo4boo32bobbo$261bo3bo15b3o20bo$261bobbo4bo4boo25boo$261bo3bo
3bo4b3obo21bobo$262boobob3o31bobb3o$265bo36boobbo$266b4o20boo10bo3bo$
268boo11boboo5boo11bobo$281bobbo20bo$281b3o18bobbo$302bo$302bo$303bobo
$262bo41bo$257bobbobobbo3bo$257bo4boob5o$257bo3bo4bobo46bo$273bo40bo$
259b3o11bo40b3o$235b3o22bo12bo3bo$244bo31bobo$237boo5b3o30bo$237b4o4bo
44boo$237boob3oboo43bobo24bo$242bobo46bo24bobo$316boo3$219bo$218bobo$
217bo3bo$218bobo19boo$219bo13bo5boo$235bo3b3o$219b4o9bo3bo3bo$218bo4bo
9b7o$195b3o22bo13b3obbo$195bobo19bo3bobbo12bo$195b3o19bob3obo14boo18b
oo$211boo5b3obo12bobbo18bobo$210bobboo21boo21bo$197boo11booboo$195boob
oo14bo$195boobboo10boo$194boo3boo11bo27boo$195boobboo39boo10bo$196bobo
50b4o$249boo$251boobo44bo$252booboo41bo$212b3o37boobbo41b3o$209b3obo
40boo$210booboo$210booboo$212bo$300bo$200boo98bobo$200boo44boobbo49boo
$249bobo$248bo16bo$265bo$250boo13bo$$251boo12boo$208boo40bo13bobbo$
208boo38booboo11bobo6boo$251boo10boo8boo$249bo13bo$172b3o91boo$172bobo
91boo$172bobo14boo75boo$172bo4boo9bobbo71boobo$171b3o3boo10b3o72b3o$
177bo12boo73bo$173b4o13bo68bo15boo$174boo12boboo66bobo13b6o$174bo13b4o
69bo12b3obbo$188bobobo60boobboobo16b3o$175bo13booboo3boo54boo5bobo6b3o
$173bobo12bo3bo4boo61bobo8bo$172b4o13b3o51bo15bo3bo7bo11bo$172b3o15bo
49b4o14boo7boboo11bo$174bo83booboo3boo14b3o$260bo$188boo$187bobbo52bob
o$186bo57bo$185bobbo38bo14boo12bobo25bo$185bo23bo17bo5b3o6bobbo11bo26b
obo$185b3o21bo16bobo3boobbo4booboo38boo$166bo10bobo47bo3bo5bo$165bobo
8bobbo47bo3bo$164booboo7bobb4o49bobboo$164boo10bob5o4b3o43boo$170boo5b
3obo7bo$164b3obbo18bo$168boboo67boo$117bo48bobbo68bobbo$115booboo49bo
69boo$115booboo47boo$115boo$117boobo46bo$118bobbo43booboo70bo$118bobbo
46bo61boo9boo$119boo12boo30bo63bob3o8boo3boo$133boo32bo61bo3bo10bobobb
o$230boobo5b5o3boo$231bo10bo$161bo$117b3o36bobbobobbo3bo$156bo4boob5o
8boo41bobo$117bobo36bo3bo4bobo9boo41bobobo7bo$118bo22boo76bobboobo4b3o
34bo$119bo21boo15b3o59boo3boboboobo33bo$119boo38bo60boo3boob5o33b3o$
116boboobo102boboo3boo$116b4oboo100bobo$117b5o76boobo$119boo64boo10b3o
bo6bobo$185boo9bo4bobo4bo59bo$109b3o85boo6bobo3bo56bobo$108bo3bo85bo3b
obbobboo11bo46boo$107bo3boo88boboo3bo11b3o$108bo91bobo17bobbo$109b4o
14bobo6bo38boo23bobo16bo4bo$111boboo21bo37booboo41bo$111bobbo12bobo33b
oboo7booboo$112boo45b3oboobo9b3o41bobbo$160bo3bobo54bobo$152bo$217bo$
111bo36bo7bo59b3o$111bo36bo8bo57booboo$110bobo34bo4boo3bobboo43bo8boob
o5bo$111bo36bobo6bobboobbo35bo3b5o4boo6boo$111boo35boboo10bobo34bobo7b
oobboo7boo$111b3o48b3o34bo7boboo48boo$114bo38bo46bo8boo47bobbo$109bobo
bbo86bo3b4o49bobbo$108bo3boo92b3o50boo$109boobb3o19bo127boo$114boo17b
ooboo124bobbo$135bo15bo110bobbo$107bo43bo55boo40boo12boo$96b3o7bobbo
11boo28bo55boo41boo15boo$99b3o5boboobb3o5boo13boo99boo10bo17bobo$99b3o
6bo3bo22bobbo14bo84boo30bo$100bo11bobbo18boo3bo12bobo82bo33bo$113boo
19bo4bo13bo118bo$134bo3bo134bo$135bobbo118bo14boo$136bo27bobo90boo$
129boo33boo90bobo16boo$129boo34bo109bobo$123bo154bo$123boo154bo$121boo
bbo154bo$119bo4boo155bo$119b3o158boo$119boo96boo$139boo77boo63boo$139b
oo64boo10bo65bobo$90boo114boo78bo$89bo115bo81bo$89bobbo195bo$87boob4o
195bo$86bo138bo62boo$86bo3b3obbo129boo$86bobbobbob3o50boo75bobo64boo$
88boo4b3o42bo7boo142bobo$90boobobo41booboo152bo57boo$79bo11boobo42boob
oo153bo46bo3boo4b3o$77booboo12bo42boo143bo13bo45boboobbo6bo$80boo57boo
bo131b3o3b4o13bo44bobb5obb4o$77b3o60bobbo130bobo3booboo11boo48b3o3b3o$
79bo3bo56bobbo41boo87b3obbo65b3o$78bo3bo12bo45boo43boo91boo3bo14boo44b
oo17boo$79b3obo11bo77boo10bo94b4o15bobo43bo18boo$81boo12bo78boo105b3o
10boo6bo$80bobo90bo120boo7bo$81bo15bo206bo20bo$80boo14bobo40b3o163bo
18bobo$79b3o15bo95bo110boo18bobboo$79boboo56bobo6bobo42boo127b7o14bo$
78b5o57bo7boo42bobo112boo12bobbo3bo14bo28boo$141bo7bo85bo71bobo10b3obb
7o11bo28boo$141boo93boboobobo58boo6bo11b3obbo8bo$138boboobo86b3o3b4o3b
o45bo12boo7bo11booboo8bo$138b4oboo91bobbooboo34boo9b3o20bo11b3obobbo
39boo$104bobo32b5o91bo41bobobo7b3o21bo11b3oboo13boo22b3obo$104boo35boo
37b3o50b3o41bo3boo5bo3bo19boo14bo13boobo22b6o$105bo47boo24bo53b3o17boo
23boo8b4o49bo3bo26bo$48boo3b4o97boo23bo3bo34boo33boo23b3o7boboo23boo
24bobboo18boo3bobbo$43b3obobbo6bo95bo23boo3boo30boo3bo95bobo24b3o20boo
bbobbo$47bobbobb5o25boo91bobbobobbo18b3o7bo6bo97bo24bo21boo$47bobbo32b
oo91bobbobobboo20b3o5bo3b5o45bo6boo42bo45bo$49bo128booboobbo20b3o6bo3b
o47bobo3bo3bo42bo$46bobo17boo111bo4bo22bo11bobbo43bo3bobo3boo43bo$47bo
18boo93bo20booboo33boo7boo36bobobboboboo42boo$161boo18b4o44boo30boo5bo
3bobboo$32bo127bobo19boo13boo36bo25boo9bo4bo45boo$29b4o164boo36bo37bo
bbo46bobo5boo$91boo142bo39bo50bo4boo$39boo50boo167bo66bo$39boo198bo18b
4o66bo$32bobo16boo4boo3boo15b3o6bo150bo17bo3boo66bo$33bo16bobbobbo6bo
16boo3boobo171b3o65boo$31boo18boobobboobbo17boo5bobo32boo40boobo86bobo
bo3bo$31bobbo16booboobbobbo22b3obo33boo38b3obo6bobo29boo23bo22bo5boo
11bobbo55boo$30booboo17bobo32boo32bo39bo4bobo4bo31boo22bobo44bo54bobo
5boo$53bo7bobbo97boo6bobo3bo32boo28bo15bo3bo12bo3bo57bo4boo$60boo101bo
3bobbobboo34boo26bobo9boo5boboo13b4o58bo$38boo21b3o102boboo3bo63bobo9b
3o6boo76bo$38boo125bobo30b3o45boo4bo84bo$26boo3b4o94bo35bobo33bo134boo
$21b3obobbo6bo24boo67boo67bobbo$25bobbobb5o24boo66bobo68boo127bobbo7b
oo$25bobbo213boo88bo6bobo$27bo163bo25boo22bobo84bo3bo9bo$24bobo163bobo
24boo24bo85b4o10bo$25bo169bo148bo$190b3obbo149bo$81b3o107bobboo138b3o
9bo$86bobboo79bo10boo9b4o140bo10bo$85boo3boo73bo3b5o5bobboo7bo4bo138bo
12bo$89bo74bobo7boob3oboo3boobbo5bo152bo$164bo7boboobbo3boo4bobb5o154b
o$148bo16bo8boo3boobo5bobbo152bo6bo$148bo17bo3b4o6bobo5bo154bobo6bo$
41b3o104bo22b3o7boobo158bobbo6bo$30b3o7bo3bo52bo53boo30booboo156boo8bo
$25boo3b4o7b4o52boo52boo12boo16b3o169bo$24boo3bo4bo9bo51bobo47bo3b3o
11boo190bo$29booboo11boo100b3o15bo6boo36boo145bo$29b4o12boo101bo15b3o
5boo35bobo146bo$30bo14bo101boo15b3o44bo147bo$24bo122b3o16bo193bo$23boo
124bo14bobbo193bo$22boboo121bo16b3o5boo128b3o45bo11bo$22bobboo5boo115b
o15bo6boo130bo44bobo11bo$20b4ob3o4boo113b3o153bo28bo16bobo12bo$19bobbo
bobboo302b3o16bo14bo$20bobobob3o302boboo31bo$21boob3obo303b3o25bo6bo$
21b4obbobo104bo197boo25bobo6bo$24bo3bo104bobo46boo175bobbo6bo$24bo3bo
36bo66bo3bo26boo195boo8bo$24bobbo37boo65bo3bo25bobboo13bobbo187bo$64bo
bo65bobob3o23b5o205bo$133boobobbo22b3obo8boobbo3bo189bo$137bobo23boobb
oo8boboobbo190bo$137boo25bo3bo206bo$166boobo10boo194bo$166bobo208bo$
166boo102b3o31bobo59bo11bo$5bo156bobboo105bo30bo61bobo11bo$4bobo153b3o
108bo32bobbo36b5o7bo8bobo12bo$4bobboo150b4o3b3o107bo29bobo33boo5boo4bo
bo8bo14bo$bb7o150bobo4b3o106boo32bo11b3o18bo7bo4bo26bo$bobbo3bo19bo
131b3ob4o106b5o29b3o31boo7bo3bobbo17bo6bo$3obb7o14boo131bo3boo108bo19b
o14bo35boo6bo3b3o16bobo6bo$bb3obbo19boo130bo3bo108boo5bo13bo12boo39bo
27bobbo6bo$3booboo25bo125bobbo108b3oboo8bobo5bo14bo13b3o22bo4bo13boo8b
oo8bo$4b3obobbo21boo104boo13boo4bo111boboboobboo3bobo18bobbo12b3o23boo
bo14boo19bo$5b3oboo21bobo104boo13boo109b3o5bobbobboo5bo19bobo13boo64bo
$8bo121bo134b3o7boo29bo14bo67bo$116boo7boobbobo134bo10boobo20boo13boob
oobbo66bo$116b3o6b4o3bo19b3o112boo11bo12b3o5boo12bobobbo3bo66bo$116boo
bobo7bo23boo113bo22boobbo21bobbobbo9bo58bo$119boo10boboo132bo24b3o26b
3o8bobo58bo$131bobo104b3o52bo69bo3bo6boo6bo11bo$132bo8boo4boo91bo91bo
bbo3bob3o17bobbob3o5boo5bobo11bo$105b3o33boo4boo90bo34boo58bo4bo24bobo
bo12bobo12bo$265boo7boo59boboobobo9bobo7bo19bo14bo$109bo155boo69boo3bo
4boo4b3obobooboo35bo$105bo3boo226bo8boo6bobboo3bobo3bo30bo$13b3o91bobo
180bo5boo64bobo35bo$104b3o7boo172boo7boo102bo$106bo7boo180boo104bo$
254bo40boo106bo$105boo28b3o115boo12boo26bo28bo79bo$106boo24boboo116b5o
10boo4bo49b3o79bo$106bo24bo3bo115bo21b3o47boboo58boo3b4o12bo$106boo23b
o3bo114boo5bo16boo48b3o53b3obobbo6bo12bo$105boo25b3o114b3oboo10boboo5b
oo48boo18bo39bobbobb5o13bo$250boboboobboo6booboobbo70b3o37bobbo21bo$
113boo91b3o42bobbobboo6boobboo65bo6bo3bo38bo23bo$108bo4boo93bo44boo14b
o66bo3b3o4bo35bobo17boo6bo$94boo7boobbobo97bo47boobo10b4o63bo3b3oboboo
36bo18boo7bo$94b3o6b4o3bo147bo10boobbo66boo3bo67bo$94boobobo7bo161boo
bbo140bo$97boo10boboo157b3o142bo$109bobo159bo101b3o40bo$110bo261bobbo
41bo$277boo92bo4bo41bo$277boo62boo28bobb3o34boo6bo$341boo28bo5bo22bobo
8boo7bo$372b7o20bo3bo17bo$378bo10b3o7bo4bo17bo$117bo156boo102bo5boo3b
4o6bo4bo18bo$116bobo140boo14bobo98boo5boo3bo4bo6bo3bo19bo$119bo139boo
16bo110booboo7bobbo21bo$174b3o94bo3boo111b4o34bo$116bo59bo93bo3boo113b
o37bo$108b3o64bo95b3o101bo52bo$99boo5bo3b5obo257bobo52bo$99boo6boo4boo
bboo254boobo53bo$107bob6o161boo95boo56bo$267boo6bo98b3o55bo$267boo6bo
bbo96bo57bo$273boob4o96bobbo54bo$272bo20b3o77bo6bo54bo$272bo3b3obbo91b
o6bo55bo$107boo163bobbobbob3o3bobo84bo4b3o56bo$107boo165boo4b3o4bo150b
o$103bo172boobobo157bo$95b3o3b4o172boobo14bo6boo136bo$95bobo3booboo
174bo12b4o5boo137bo$95b3obbo41b3o147bo3bo145bo$100boo3bo38bo147bobbo
147bo$101b4o38bo149b3o6bo13bo61boo64bo$102b3o196boboob3o6b3o60boo65bo$
303b4o8boboo127bo$300b3obbo4boo4b3o70bo57bo$307bo8boo71boo57bo$304boo
4boo78bo58bo$306b3o82bo58bo$389bobbo58bo$282boo4bo103bo59bo$282boobboo
boo4bobo94bo60bo$81b3o185bo19boo4bobbo155bo$81bobo184bobo20bo3bobbo
156bo$81b3o184bobboo14boboo5boo158bo$266b7o14bo169bo$110b3o152bobbo3bo
14boboo167bo$83boo27bo151b3obb7o11boboo168bo$81booboo13bo11bo154b3obbo
14boobo170bo$81boobboo12bobo165booboo15boo71bo100bo$80boo3boo12boo167b
3obobbo84bo101bo$81boobboo182b3oboo85bo102bo$82bobo187bo90boo99bo$363b
oo12boo86bo$358bo3b3o11boo88bo$250bo108b3o15bo89bo$249b3o14boo78b3o11b
o15b3o89bo$248bo10bobbo4bo77bo3bo9boo15b3o90bo$249booboo6b3obbobbo75bo
4bo9b3o16bo91bo$250b3oboo5boobbobbo74bo3bo13bo14bobbo91bo$252b4o9bobbo
74bobbob3o8bo16b3o5boo86bo$89bo176b3o74bo7bo9bo15bo6boo87bo$89bo255bo
3bobo7b3o112bo$89bo255bo3boboo122bo$347b3oboo123bo$259bo103boo112bo$
258bobo102boo113bo$246bo11bobo218bo$245b3o11bo114bobo103bo$347boo25bo
bbo103bo$245b3o99boo25bobbo104bo$246booboo97bo25bo3bo104bo$248bo59bo
66bobo106bo$267bo39b3o38bo27bo108bo$266bobo38boboo175bo$222b3o41bobo
39b3o176bo$223bo43bo40boo10bobo23bo5b3o133bo$223bobbo92bo26bo7bo134bo$
223bobbo93bobbo22bo5bobo10boo123bo$224bobo95bobo27boo10bobbo123bo$239b
oo84bo11b3o23bo3bo124bo$239boo83b3o38boo126bo$245bo78bo169bo$244b3o75b
oo35bo135bo$223bo19booboo76bo13b3o16boo137bo$222bobo18bobo45bo30bobbo
12b3o5boo3boobboo5bo134bo$223bo19bo48bo29bobo13boo6boo3boo4boo139bo$
290b3o29bo14bo23bo137bo$267b3o65boobbo18b4o138bo$221b4o40b7o6bo57bo3bo
9bo6bobo141bo$221boo3bo13bo23b9o4bo58bobbo10bo5bobboobo139bo$222bo4bo
11bobo21bo7b3obboo59b3o7bo9bo4bo140bo$224boboo11bo24b3o6bo3bobbo31boob
o27boo6bo6bo145bo$225bo15boo22boo11b3o30b3obo6bobo19b4o11bobbo142bo$
242bo25bo10bo30bo4bobo4bo25bo3bo6boo145bo$239b3o27bo18boo21boo6bobo3bo
23bo157bo$240boo28bo17boo22bo3bobbobboo26bobo155bo$237bo77boboo3boboob
o11b3o9bo157bo$237boo75bobo8bobo11b4o167bo$237boo75bobo21boobboo167bo$
227boo6boo102boobo169bo$227boo4boo20bo83b3o171bo$233boobo18bo84bo173bo
$235boo18bo8bo23b3o5boo217bo$262bobo20boobobo5boo218bo$256b3obbo3bo19b
obbobo226bo$257bob5o10boboo5b3o232bo$263bo4boo4bobo3booboo18b3o26boo
185bo$235boo21boo8boo6boob3obbo18bo15bo9bob4o185bo$235boo67bo9bo3b5o5b
oobo3boo184bo$313bobo7boo4bobbooboo185bo$313bo7boboo5b6o187bo$314bo8b
oo6bo192bo$315bo3b4o202bo$320b3o203bo$527bo$528bo$266bo85bo176bo$265b
4o52boo29bobo175bo$263b5obo51boo29boo177bo$257b3obbo6boo261bo$261bo3bo
b3o263bo$262bobobboo265bo$319b3o213bo$319bo216bo$320bo216bo$538bo$539b
o$263boo275bo$263boo276bo$542bo$543bo$544bo$545bo$546bo$547bo$548bo$
549bo$550bo$335b3o213bo$295bo39bo216bo$294bobo27bo11bo216bo$293booboo
26bo229bo$294bobbo26bo230bo$296b3o22bob3obo228bo$296bobo22bob5o229bo$
297boo26bobo230bo$297boo12boo9boo235bo$311boo9boo236bo$323bo237bo$323b
oo237bo$295bo28bo3boo233bo$279boobo11bobo27bo239bo$278b3obo9b3oboo24bo
boo239bo$277bo4bobo8bob3o25bo242bo$278boo6boboobbo26boo246bo$279bo3bo
bbo4b3o25boo247bo$282boboo6bobob3o270bo$281bobo9boo4bo11boo257bo$281bo
bo9bobo3bo10bobboo256bo$292b3ob4o10bo4bo256bo$294bo19bo258bo$273bo9boo
7boo17bobbo259bo$272bobo8boo26b3o261bo$271booboo300bo$272bobbo29boo
270bo$274b3o28boo271bo$274bobo302bo$275boo303bo$275boo304bo$582bo$583b
o$584bo$273bo311bo$274bo311bo$274boo311bo$273b3o312bo$589bo$590bo$274b
3o11bo302bo$272bo4bo8booboo301bo$272boo3bo10bo304bo$274b4o11bo304bo$
288boo305bo$287bobbo305bo$288boo307bo$598bo$599bo$600bo$277boo322bo$
277boo323bo$603bo$604bo$605bo$606bo$607bo$608bo$609bo$610bo$611bo$612b
o$613bo$614bo$615bo$616bo$617bo$618bo$619bo$620bo$621bo$622bo$623bo$
624bo$625bo$626bo$627bo$628bo$629bo$630bo$631bo$632bo$633bo$632boo$
635b3o$635bo$636bo1594$2231b3o$2231bo$2232bo3190$5423b3o$5423bo$5424bo
6382$11807b3o15boo6bo11boo$11807bo16bobbo4bobo10boo$11808bo11boobb3obo
3bobo$11820bo6bobobooboo$11818bobo3boo3bobo$11818boo4bob4obboboo$
11826bo3boboboo$11825bo3bobo$11824bo3bobo$11809bo14boo3bo$11808bobo$
11809bo$$11837boo$11837boo$11814bo37boo$11813bobobo33bobbo$11808boo3bo
4bobb3o28boobo$11808boo4bo4bobobo31bo$11821boo32boo$11840boo$11816b3o
5boo15bo$11824boo12b3o$11831boo5bo$11831bobo$11833bo$11833boo3$11809b
oo15bo$11808bobo14bobo$11808bo16bobo$11807boo17bo$11821boo$11820bobo$
11820bo$11819boo15$11801bo$11801b3o42boo$11804bo42bo$11803boo42bobo$
11848boo$$11792booboo$11792boobo$11795bo$11795b3o4boo$11793boo3bo3boo
43boo$11792bobb4o48boo4boo$11792boobo15boo40boo$11793bobb3o12bobo$
11793bo5bo13bo$11794b5o14boo$11796bo55boo$11848boobboo$11847bobo$
11847bo12boo$11846boo11bobo$11859bo$11858boo5$11860boo$11859bobo23bo$
11859bo23b3o$11858boo22bo$11866boo14boo$11866boo10$11885boo$11880boobb
obbo$11865boo13bobobboo$11864bobo16boo$11864bo19bo$11863boo16bobboboo$
11880boboboobo$11881bobo$11882bobboo$11883boob3o$11889bo$11883boob3o$
11883boobo$$11875boo$11866boo7boo$11867bo$11867bobo$11868boo$$11865bo$
11863b3o$11862bo25boo$11862boo24boo5$11873bo$11872bobo$11852boo18bobo$
11851bobo5boo12bo$11851bo7boo9b3o$11850boo18bo$$11864bo$11860boobobo$
11859bobobobo$11856bobboboboboo$11856b4oboobbo$11860bo4bo$11856boobbob
3o$11856boo3boo4012$16029boo$16023boo4boo$16022boboo$16022boboo$16023b
o$$16023boo$16021booboo$16018bobbo3bo11boo$16017bobobb3o12boo$$16017bo
3bo$16021bo$16017bo$16017bobo$16018bo$$16013bo$16012bobbo$16015bo27bo$
16012bo28boobo$16012bobo27bo$16014bo22boo3bo$16010bo3boo26boo$16009bo
4boo27bo$16010bobboo28boo$16012bobo28boo$16039bobo$16039b5obo$16023b3o
4bo8bob3obo$16023bo6bo11bo$16023bo6bo11bo$16024bobbo14bo$16004boo22bo$
16004boo21b3o$16029boo$16027boboo$16027bobo$16028bo3$16012boo$16012boo
12boo$16025bo$16025bo$16025b7o$16026bo5bo$16027b3obbo$16027bo4bo$
16028bobbo$16028b3o!
I made a table of the generation numbers where a glider ignites the fuse and the length of the fuse, along with the differences between successive entries.
The results are quite interesting.
Code: Select all
Gen deltaGen Length deltaLength
--- -------- ------ -----------
0 - 295 - (291 works)
7728 7728 2^4*3*7*23 607 312 2^3*3*13 (603 diff 308 works)
23184 15456 1223 616 2^3*7*11
54096 30912 2455 1232 2^4*7*11
115920 61824 4919 2464 2^5*7*11
239568 123648 9847 4928
486864 247296 19703 9856
981456 494592 2^10*3*7*23 39415 19712 2^8*7*11
The differences of the generation numbers and the differences of the fuse lengths are both always divisible by seven. (The first entry in the table is an anomaly which happens to work. Adjusting the fuse length slightly can make the first difference follow the rest of the pattern.)
I thought that maybe the common factor of seven might be removable, and so it can.
Code: Select all
#C A sawtooth based on a Cordership line-puffer and a caber tosser.
#C The caber tosser emits gliders at generations 3648 * 2^N.
#C Its output and two preceding gliders repeatedly ignites the
#C diagonal line left by a receding line-ship.
#C The minimum repeating population is about 4621 cells.
#C This is a much smaller version of a previous line ship sawtooth.
#C David I. Bell, 22 August 2026
x = 1462, y = 1366, rule = B3/S23
343b3o$342bobbo$341bo4bo$341bobb3o$341bo5bo$342b7o$348bo$348bo$346boo
3$359b3o7$325b3o$298b3o23bo3bo$323bo4bo$296bo5bo20bobbobo$287bo8b7o12b
o7boobobo$298bo17boo7boobobbo$291bo6bo3bo13boo9boobbo$297bo17boobo9b3o
11b3o$283b3obo10bo18b3o24bo$283b3obo11bo4bo11boboo23bo$284bo8boo4bo4bo
11boo30bo$285bo3b3oboo3boobobo12bo6boo23bobo$286bo6bo3bobo23boo23boo$
287bobobobo4bo$288bo3$296boo$287boo7boo$287boo$313b3o$316bo$315boo$
276b3o38bo$315b3o$274bo5bo10bo23bobbo$274b7o11boboo20boo$276bo15b4o$
276bo3bo10boob3o$275bo13b3o4boo$276bo13bobo3boo$277bo4bo8b3o$277bo4bo
8b3o$276boobobo$275bobo$276bo$$290bo$289bobo$288boobobo5boo$290bob3o4b
oo$292bobbo$293boo37bo$293bo38bobo$332boo$281boo$281boo3$264b3o$263bo
37b3o$262bo4boo32bobbo$261bo3bo15b3o20bo$261bobbo4bo4boo25boo$261bo3bo
3bo4b3obo21bobo$262boobob3o31bobb3o$265bo36boobbo$266b4o20boo10bo3bo$
268boo11boboo5boo11bobo$281bobbo20bo$281b3o18bobbo$302bo$302bo$303bobo
$262bo41bo$257bobbobobbo3bo$257bo4boob5o$257bo3bo4bobo46bo$273bo40bo$
259b3o11bo40b3o$235b3o22bo12bo3bo$244bo31bobo$237boo5b3o30bo$237b4o4bo
44boo$237boob3oboo43bobo24bo$242bobo46bo24bobo$316boo3$219bo$218bobo$
217bo3bo$218bobo19boo$219bo13bo5boo$235bo3b3o$219b4o9bo3bo3bo$218bo4bo
9b7o$195b3o22bo13b3obbo$195bobo19bo3bobbo12bo$195b3o19bob3obo14boo18b
oo$211boo5b3obo12bobbo18bobo$210bobboo21boo21bo$197boo11booboo$195boob
oo14bo$195boobboo10boo$194boo3boo11bo27boo$195boobboo39boo10bo$196bobo
50b4o$249boo$251boobo44bo$252booboo41bo$212b3o37boobbo41b3o$209b3obo
40boo$210booboo$210booboo$212bo$300bo$200boo98bobo$200boo44boobbo49boo
$249bobo$248bo16bo$265bo$250boo13bo$$251boo12boo$208boo40bo13bobbo$
208boo38booboo11bobo6boo$251boo10boo8boo$249bo13bo$172b3o91boo$172bobo
91boo$172bobo14boo75boo$172bo4boo9bobbo71boobo$171b3o3boo10b3o72b3o$
177bo12boo73bo$173b4o13bo68bo15boo$174boo12boboo66bobo13b6o$174bo13b4o
69bo12b3obbo$188bobobo60boobboobo16b3o$175bo13booboo3boo54boo5bobo6b3o
$173bobo12bo3bo4boo61bobo8bo$172b4o13b3o51bo15bo3bo7bo11bo$172b3o15bo
49b4o14boo7boboo11bo$174bo83booboo3boo14b3o$260bo$188boo$187bobbo52bob
o$186bo57bo$185bobbo38bo14boo12bobo25bo$185bo23bo17bo5b3o6bobbo11bo26b
obo$185b3o21bo16bobo3boobbo4booboo38boo$166bo10bobo47bo3bo5bo$165bobo
8bobbo47bo3bo$164booboo7bobb4o49bobboo$164boo10bob5o4b3o43boo$170boo5b
3obo7bo$164b3obbo18bo$168boboo67boo$117bo48bobbo68bobbo$115booboo49bo
69boo$115booboo47boo$115boo$117boobo46bo$118bobbo43booboo70bo$118bobbo
46bo61boo9boo$119boo12boo30bo63bob3o8boo3boo$133boo32bo61bo3bo10bobobb
o$230boobo5b5o3boo$231bo10bo$161bo$117b3o36bobbobobbo3bo$156bo4boob5o
8boo41bobo$117bobo36bo3bo4bobo9boo41bobobo7bo$118bo22boo76bobboobo4b3o
34bo$119bo21boo15b3o59boo3boboboobo33bo$119boo38bo60boo3boob5o33b3o$
116boboobo102boboo3boo$116b4oboo100bobo$117b5o76boobo$119boo64boo10b3o
bo6bobo$185boo9bo4bobo4bo59bo$109b3o85boo6bobo3bo56bobo$108bo3bo85bo3b
obbobboo11bo46boo$107bo3boo88boboo3bo11b3o$108bo91bobo17bobbo$109b4o
14bobo6bo38boo23bobo16bo4bo$111boboo21bo37booboo41bo$111bobbo12bobo33b
oboo7booboo$112boo45b3oboobo9b3o41bobbo$160bo3bobo54bobo$152bo$217bo$
111bo36bo7bo59b3o$111bo36bo8bo57booboo$110bobo34bo4boo3bobboo43bo8boob
o5bo$111bo36bobo6bobboobbo35bo3b5o4boo6boo$111boo35boboo10bobo34bobo7b
oobboo7boo$111b3o48b3o34bo7boboo48boo$114bo38bo46bo8boo47bobbo$109bobo
bbo86bo3b4o49bobbo$108bo3boo92b3o50boo$109boobb3o19bo127boo$114boo17b
ooboo124bobbo$135bo15bo110bobbo$107bo43bo55boo40boo12boo$96b3o7bobbo
11boo28bo55boo41boo15boo$99b3o5boboobb3o5boo13boo99boo10bo17bobo$99b3o
6bo3bo22bobbo14bo84boo30bo$100bo11bobbo18boo3bo12bobo82bo33bo$113boo
19bo4bo13bo118bo$134bo3bo134bo$135bobbo118bo14boo$136bo27bobo90boo$
129boo33boo90bobo16boo$129boo34bo109bobo$123bo154bo$123boo154bo$121boo
bbo154bo$119bo4boo155bo$119b3o158boo$119boo96boo$139boo77boo63boo$139b
oo64boo10bo65bobo$90boo114boo78bo$89bo115bo81bo$89bobbo195bo$87boob4o
195bo$86bo138bo62boo$86bo3b3obbo129boo$86bobbobbob3o50boo75bobo64boo$
88boo4b3o42bo7boo142bobo$90boobobo41booboo152bo57boo$79bo11boobo42boob
oo153bo46bo3boo4b3o$77booboo12bo42boo143bo13bo45boboobbo6bo$80boo57boo
bo131b3o3b4o13bo44bobb5obb4o$77b3o60bobbo130bobo3booboo11boo48b3o3b3o$
79bo3bo56bobbo41boo87b3obbo65b3o$78bo3bo12bo45boo43boo91boo3bo14boo44b
oo17boo$79b3obo11bo77boo10bo94b4o15bobo43bo18boo$81boo12bo78boo105b3o
10boo6bo$80bobo90bo120boo7bo$81bo15bo206bo20bo$80boo14bobo40b3o163bo
18bobo$79b3o15bo95bo110boo18bobboo$79boboo56bobo6bobo42boo127b7o14bo$
78b5o57bo7boo42bobo112boo12bobbo3bo14bo28boo$141bo7bo85bo71bobo10b3obb
7o11bo28boo$141boo93boboobobo58boo6bo11b3obbo8bo$138boboobo86b3o3b4o3b
o45bo12boo7bo11booboo8bo$138b4oboo91bobbooboo34boo9b3o20bo11b3obobbo
39boo$104bobo32b5o91bo41bobobo7b3o21bo11b3oboo13boo22b3obo$104boo35boo
37b3o50b3o41bo3boo5bo3bo19boo14bo13boobo22b6o$105bo47boo24bo53b3o17boo
23boo8b4o49bo3bo26bo$48boo3b4o97boo23bo3bo34boo33boo23b3o7boboo23boo
24bobboo18boo3bobbo$43b3obobbo6bo95bo23boo3boo30boo3bo95bobo24b3o20boo
bbobbo$47bobbobb5o25boo91bobbobobbo18b3o7bo6bo97bo24bo21boo$47bobbo32b
oo91bobbobobboo20b3o5bo3b5o45bo6boo42bo45bo$49bo128booboobbo20b3o6bo3b
o47bobo3bo3bo42bo$46bobo17boo111bo4bo22bo11bobbo43bo3bobo3boo43bo$47bo
18boo93bo20booboo33boo7boo36bobobboboboo42boo$161boo18b4o44boo30boo5bo
3bobboo$32bo127bobo19boo13boo36bo25boo9bo4bo45boo$29b4o164boo36bo37bo
bbo46bobo5boo$91boo142bo39bo50bo4boo$39boo50boo167bo66bo$39boo198bo18b
4o66bo$32bobo16boo4boo3boo15b3o6bo150bo17bo3boo66bo$33bo16bobbobbo6bo
16boo3boobo171b3o65boo$31boo18boobobboobbo17boo5bobo32boo40boobo86bobo
bo3bo$31bobbo16booboobbobbo22b3obo33boo38b3obo6bobo29boo23bo22bo5boo
11bobbo55boo$30booboo17bobo32boo32bo39bo4bobo4bo31boo22bobo44bo54bobo
5boo$53bo7bobbo97boo6bobo3bo32boo28bo15bo3bo12bo3bo57bo4boo$60boo101bo
3bobbobboo34boo26bobo9boo5boboo13b4o58bo$38boo21b3o102boboo3bo63bobo9b
3o6boo76bo$38boo125bobo30b3o45boo4bo84bo$26boo3b4o94bo35bobo33bo134boo
$21b3obobbo6bo24boo67boo67bobbo$25bobbobb5o24boo66bobo68boo127bobbo7b
oo$25bobbo213boo88bo6bobo$27bo163bo25boo22bobo84bo3bo9bo$24bobo163bobo
24boo24bo85b4o10bo$25bo169bo148bo$190b3obbo149bo$81b3o107bobboo138b3o
9bo$86bobboo79bo10boo9b4o140bo10bo$85boo3boo73bo3b5o5bobboo7bo4bo138bo
12bo$89bo74bobo7boob3oboo3boobbo5bo152bo$164bo7boboobbo3boo4bobb5o154b
o$148bo16bo8boo3boobo5bobbo152bo6bo$148bo17bo3b4o6bobo5bo154bobo6bo$
41b3o104bo22b3o7boobo158bobbo6bo$30b3o7bo3bo52bo53boo30booboo156boo8bo
$25boo3b4o7b4o52boo52boo12boo16b3o169bo$24boo3bo4bo9bo51bobo47bo3b3o
11boo190bo$29booboo11boo100b3o15bo6boo36boo145bo$29b4o12boo101bo15b3o
5boo35bobo146bo$30bo14bo101boo15b3o44bo147bo$24bo122b3o16bo193bo$23boo
124bo14bobbo193bo$22boboo121bo16b3o5boo128b3o45bo11bo$22bobboo5boo115b
o15bo6boo130bo44bobo11bo$20b4ob3o4boo113b3o153bo28bo16bobo12bo$19bobbo
bobboo302b3o16bo14bo$20bobobob3o302boboo31bo$21boob3obo303b3o25bo6bo$
21b4obbobo104bo197boo25bobo6bo$24bo3bo104bobo46boo175bobbo6bo$24bo3bo
36bo66bo3bo26boo195boo8bo$24bobbo37boo65bo3bo25bobboo13bobbo187bo$64bo
bo65bobob3o23b5o205bo$133boobobbo22b3obo8boobbo3bo189bo$137bobo23boobb
oo8boboobbo190bo$137boo25bo3bo206bo$166boobo10boo194bo$166bobo208bo$
166boo102b3o31bobo59bo11bo$5bo156bobboo105bo30bo61bobo11bo$4bobo153b3o
108bo32bobbo36b5o7bo8bobo12bo$4bobboo150b4o3b3o107bo29bobo33boo5boo4bo
bo8bo14bo$bb7o150bobo4b3o106boo32bo11b3o18bo7bo4bo26bo$bobbo3bo19bo
131b3ob4o106b5o29b3o31boo7bo3bobbo17bo6bo$3obb7o14boo131bo3boo108bo19b
o14bo35boo6bo3b3o16bobo6bo$bb3obbo19boo130bo3bo108boo5bo13bo12boo39bo
27bobbo6bo$3booboo25bo125bobbo108b3oboo8bobo5bo14bo13b3o22bo4bo13boo8b
oo8bo$4b3obobbo21boo104boo13boo4bo111boboboobboo3bobo18bobbo12b3o23boo
bo14boo19bo$5b3oboo21bobo104boo13boo109b3o5bobbobboo5bo19bobo13boo64bo
$8bo121bo134b3o7boo29bo14bo67bo$116boo7boobbobo134bo10boobo20boo13boob
oobbo66bo$116b3o6b4o3bo19b3o112boo11bo12b3o5boo12bobobbo3bo66bo$116boo
bobo7bo23boo113bo22boobbo21bobbobbo9bo58bo$119boo10boboo132bo24b3o26b
3o8bobo58bo$131bobo104b3o52bo69bo3bo6boo6bo11bo$132bo8boo4boo91bo91bo
bbo3bob3o17bobbob3o5boo5bobo11bo$105b3o33boo4boo90bo34boo58bo4bo24bobo
bo12bobo12bo$265boo7boo59boboobobo9bobo7bo19bo14bo$109bo155boo69boo3bo
4boo4b3obobooboo35bo$105bo3boo226bo8boo6bobboo3bobo3bo30bo$13b3o91bobo
180bo5boo64bobo35bo$104b3o7boo172boo7boo102bo$106bo7boo180boo104bo$
254bo40boo106bo$105boo28b3o115boo12boo26bo28bo79bo$106boo24boboo116b5o
10boo4bo49b3o79bo$106bo24bo3bo115bo21b3o47boboo58boo3b4o12bo$106boo23b
o3bo114boo5bo16boo48b3o53b3obobbo6bo12bo$105boo25b3o114b3oboo10boboo5b
oo48boo18bo39bobbobb5o13bo$250boboboobboo6booboobbo70b3o37bobbo21bo$
113boo91b3o42bobbobboo6boobboo65bo6bo3bo38bo23bo$108bo4boo93bo44boo14b
o66bo3b3o4bo35bobo17boo6bo$94boo7boobbobo97bo47boobo10b4o63bo3b3oboboo
36bo18boo7bo$94b3o6b4o3bo147bo10boobbo66boo3bo67bo$94boobobo7bo161boo
bbo140bo$97boo10boboo157b3o142bo$109bobo159bo101b3o40bo$110bo261bobbo
41bo$277boo92bo4bo41bo$277boo62boo28bobb3o34boo6bo$341boo28bo5bo22bobo
8boo7bo$372b7o20bo3bo17bo$378bo10b3o7bo4bo17bo$117bo156boo102bo5boo3b
4o6bo4bo18bo$116bobo140boo14bobo98boo5boo3bo4bo6bo3bo19bo$119bo139boo
16bo110booboo7bobbo21bo$174b3o94bo3boo111b4o34bo$116bo59bo93bo3boo113b
o37bo$108b3o64bo95b3o101bo52bo$99boo5bo3b5obo257bobo52bo$99boo6boo4boo
bboo254boobo53bo$107bob6o161boo95boo56bo$267boo6bo98b3o55bo$267boo6bo
bbo96bo57bo$273boob4o96bobbo54bo$272bo20b3o77bo6bo54bo$272bo3b3obbo91b
o6bo55bo$107boo163bobbobbob3o3bobo84bo4b3o56bo$107boo165boo4b3o4bo150b
o$103bo172boobobo157bo$95b3o3b4o172boobo14bo6boo136bo$95bobo3booboo
174bo12b4o5boo137bo$95b3obbo41b3o147bo3bo145bo$100boo3bo38bo147bobbo
147bo$101b4o38bo149b3o6bo13bo61boo64bo$102b3o196boboob3o6b3o60boo65bo$
303b4o8boboo127bo$300b3obbo4boo4b3o70bo57bo$307bo8boo71boo57bo$304boo
4boo78bo58bo$306b3o82bo58bo$389bobbo58bo$282boo4bo103bo59bo$282boobboo
boo4bobo94bo60bo$81b3o185bo19boo4bobbo155bo$81bobo184bobo20bo3bobbo
156bo$81b3o184bobboo14boboo5boo158bo$266b7o14bo169bo$110b3o152bobbo3bo
14boboo167bo$83boo27bo151b3obb7o11boboo168bo$81booboo13bo11bo154b3obbo
14boobo170bo$81boobboo12bobo165booboo15boo71bo100bo$80boo3boo12boo167b
3obobbo84bo101bo$81boobboo182b3oboo85bo102bo$82bobo187bo90boo99bo$363b
oo12boo86bo$358bo3b3o11boo88bo$250bo108b3o15bo89bo$249b3o14boo78b3o11b
o15b3o89bo$248bo10bobbo4bo77bo3bo9boo15b3o90bo$249booboo6b3obbobbo75bo
4bo9b3o16bo91bo$250b3oboo5boobbobbo74bo3bo13bo14bobbo91bo$252b4o9bobbo
74bobbob3o8bo16b3o5boo86bo$89bo176b3o74bo7bo9bo15bo6boo87bo$89bo255bo
3bobo7b3o112bo$89bo255bo3boboo122bo$347b3oboo123bo$259bo103boo112bo$
258bobo102boo113bo$246bo11bobo218bo$245b3o11bo114bobo103bo$347boo25bo
bbo103bo$245b3o99boo25bobbo104bo$246booboo97bo25bo3bo104bo$248bo59bo
66bobo106bo$267bo39b3o38bo27bo108bo$266bobo38boboo175bo$222b3o41bobo
39b3o176bo$223bo43bo40boo10bobo23bo5b3o133bo$223bobbo92bo26bo7bo134bo$
223bobbo93bobbo22bo5bobo10boo121boo$224bobo95bobo27boo10bobbo123b3o$
239boo84bo11b3o23bo3bo123bo$239boo83b3o38boo125bo$245bo78bo$244b3o75b
oo35bo$223bo19booboo76bo13b3o16boo$222bobo18bobo45bo30bobbo12b3o5boo3b
oobboo5bo$223bo19bo48bo29bobo13boo6boo3boo4boo$290b3o29bo14bo23bo$267b
3o65boobbo18b4o$221b4o40b7o6bo57bo3bo9bo6bobo$221boo3bo13bo23b9o4bo58b
obbo10bo5bobboobo$222bo4bo11bobo21bo7b3obboo59b3o7bo9bo4bo$224boboo11b
o24b3o6bo3bobbo31boobo27boo6bo6bo$225bo15boo22boo11b3o30b3obo6bobo19b
4o11bobbo$242bo25bo10bo30bo4bobo4bo25bo3bo6boo$239b3o27bo18boo21boo6bo
bo3bo23bo$240boo28bo17boo22bo3bobbobboo26bobo$237bo77boboo3boboobo11b
3o9bo$237boo75bobo8bobo11b4o$237boo75bobo21boobboo$227boo6boo102boobo$
227boo4boo20bo83b3o$233boobo18bo84bo$235boo18bo8bo23b3o5boo$262bobo20b
oobobo5boo$256b3obbo3bo19bobbobo$257bob5o10boboo5b3o$263bo4boo4bobo3b
ooboo18b3o26boo$235boo21boo8boo6boob3obbo18bo15bo9bob4o$235boo67bo9bo
3b5o5boobo3boo$313bobo7boo4bobbooboo$313bo7boboo5b6o$314bo8boo6bo$315b
o3b4o$320b3o3$266bo85bo$265b4o52boo29bobo$263b5obo51boo29boo$257b3obbo
6boo$261bo3bob3o$262bobobboo$319b3o$319bo$320bo3$263boo$263boo10$335b
3o$295bo39bo$294bobo27bo11bo$293booboo26bo$294bobbo26bo$296b3o22bob3ob
o$296bobo22bob5o$297boo26bobo$297boo12boo9boo$311boo9boo$323bo$323boo$
295bo28bo3boo$279boobo11bobo27bo$278b3obo9b3oboo24boboo$277bo4bobo8bob
3o25bo$278boo6boboobbo26boo$279bo3bobbo4b3o25boo$282boboo6bobob3o$281b
obo9boo4bo11boo$281bobo9bobo3bo10bobboo$292b3ob4o10bo4bo$294bo19bo$
273bo9boo7boo17bobbo$272bobo8boo26b3o$271booboo$272bobbo29boo$274b3o
28boo$274bobo$275boo$275boo4$273bo$274bo$274boo$273b3o3$274b3o11bo$
272bo4bo8booboo$272boo3bo10bo$274b4o11bo$288boo$287bobbo$288boo4$277b
oo$277boo117$719b3o$719bo$720bo454$1175b3o15boo6bo11boo$1175bo16bobbo
4bobo10boo$1176bo11boobb3obo3bobo$1188bo6bobobooboo$1186bobo3boo3bobo$
1186boo4bob4obboboo$1194bo3boboboo$1193bo3bobo$1192bo3bobo$1177bo14boo
3bo$1176bobo$1177bo$$1205boo$1205boo$1182bo37boo$1181bobobo33bobbo$
1176boo3bo4bobb3o28boobo$1176boo4bo4bobobo31bo$1189boo32boo$1208boo$
1184b3o5boo15bo$1192boo12b3o$1199boo5bo$1199bobo$1201bo$1201boo3$1177b
oo15bo$1176bobo14bobo$1176bo16bobo$1175boo17bo$1189boo$1188bobo$1188bo
$1187boo15$1169bo$1169b3o42boo$1172bo42bo$1171boo42bobo$1216boo$$1160b
ooboo$1160boobo$1163bo$1163b3o4boo$1161boo3bo3boo43boo$1160bobb4o48boo
4boo$1160boobo15boo40boo$1161bobb3o12bobo$1161bo5bo13bo$1162b5o14boo$
1164bo55boo$1216boobboo$1215bobo$1215bo12boo$1214boo11bobo$1227bo$
1226boo5$1228boo$1227bobo23bo$1227bo23b3o$1226boo22bo$1234boo14boo$
1234boo10$1253boo$1248boobbobbo$1233boo13bobobboo$1232bobo16boo$1232bo
19bo$1231boo16bobboboo$1248boboboobo$1249bobo$1250bobboo$1251boob3o$
1257bo$1251boob3o$1251boobo$$1243boo$1234boo7boo$1235bo$1235bobo$1236b
oo$$1233bo$1231b3o$1230bo25boo$1230boo24boo5$1241bo$1240bobo$1220boo
18bobo$1219bobo5boo12bo$1219bo7boo9b3o$1218boo18bo$$1232bo$1228boobobo
$1227bobobobo$1224bobboboboboo$1224b4oboobbo$1228bo4bo$1224boobbob3o$
1224boo3boo60$1445boo$1439boo4boo$1438boboo$1438boboo$1439bo$$1439boo$
1437booboo$1434bobbo3bo11boo$1433bobobb3o12boo$$1433bo3bo$1437bo$1433b
o$1433bobo$1434bo$$1429bo$1428bobbo$1431bo27bo$1428bo28boobo$1428bobo
27bo$1430bo22boo3bo$1426bo3boo26boo$1425bo4boo27bo$1426bobboo28boo$
1428bobo28boo$1455bobo$1455b5obo$1439b3o4bo8bob3obo$1439bo6bo11bo$
1439bo6bo11bo$1440bobbo14bo$1420boo22bo$1420boo21b3o$1445boo$1443boboo
$1443bobo$1444bo3$1428boo$1428boo12boo$1441bo$1441bo$1441b7o$1442bo5bo
$1443b3obbo$1443bo4bo$1444bobbo$1444b3o!
The fact that the generation number, fuse length, and gun outputs all scale together by exact powers of two means that it is probably easy to prove by induction that the sawtooth really works. Such a calculation might also find smaller periods which will also work.
EDIT 3:
I was so pleased about the removal of a common factor of seven from the sawtooth that I completely overlooked that there was also a common factor of three.
The factor of three can also be removed.
Code: Select all
#C A sawtooth based on a Cordership line-puffer and a caber tosser.
#C The caber tosser emits gliders at generations 2432 * 2^N.
#C Its output repeatedly ignites the diagonal line left by a
#C receding line-ship. The minimum repeating population is
#C about 4621 cells. This is a much smaller version of a previous
#C line ship sawtooth.
#C David I. Bell, 28 August 2026
x = 626, y = 547, rule = B3/S23
332b3o$331bo3bo$330bo4bo8boo3b3o$330bobbobo7b4o$330boobobo6bo3boo$332b
oobobbo4boobobo$334boobbo$335b3o13bo$324b3o21bobbo$323bobbo22b3o$322bo
4bo29b3o$322bobb3o$322bo5bo23b3o$293boo28b7o24bo$294bobbo4bo26bo23bo$
291bobb3obobbobo25bo$291bobbo4b4o24boo$291bobbo$294bo6bo$293boobo$301b
o11boo$299boo12boo$276boo$276b3o$276boobo$280bo$272bo3boo3bo4boo$282bo
3boo19bo$279bobo15bo8boo12b3o$279bo17boo6bobbo13bo$274bo4bobo11bobboob
oo5boo13bo$294b3ob3o7boo$278b4o13bo3boo6booboo$278boo14b3o11bobo$294b
3o12bo$271boo12boo9b3o$272bobbo4bo4boo10boo$269bobb3obobbobo$269bobbo
4b4o26boo$269bobbo34boo25bo$272bo6bo54bobo$271boobo59boo$279bo$277boo
9$288bo$288bo$272bobbo12boboboo$273b3ob3o9boobobo$273boobobo12boobo$
263b3o9b3o15bo$262bo3bo9boo$261bo4bo$260bo3bo$260bobbob3o$260bo7bo10b
oo$262bo3bobo10boo$262bo3boboo27bo$264b3oboo23boobobo7bo$280boo11bobb
ooboobbooboo$280boo11bo5bobo5bo$294boobbo8bo$298bobb3obbo$264boo32b3o$
264boo52bo$265bo52bobo$318boo$265bo22boo$281bo6boo$280bo$252b3o8bo16bo
bo$263bo5bo11bo18boo$256bo6bo3bo31bobo$252bo3boo8b3o32bo$254bobo9boo$
251b3o$253bo$228bo$228bo23boo$228bob3o20boo$230b3o20bo$231bo13b3o5boo$
231boo19boo$232bo$214bo6boo9boo13bo$213bobo3bo3bo22boo$212bo3bobo3boo
5booboo11b3o$213bobobboboboo6b3o12bo22boo$214bo3bobboo7bo12bo23bobo$
218bo4bo19bo3boo20bo31bo$219bobbo24boo51bo$198bo22bo22bo55b3o$190b3o3b
4o45bobbo$190bobo3booboo44b3o$190b3obbo$195boo3bo$196b4o102bo$197b3o
10boo18boo70bobo$210boo18boo70boo3$212boobo$212bo4bo$212bo5bo$215bobbo
$214bobboo19boo$205bo7bobbo21boo$194boo9b3o6bobo$193bobobo7b3o$193bo3b
oo5bo3bo$194boo8b4o6boo$194b3o7boboo4boobbo26bo$213boboo26bo$210booboo
30bo5bo$210b3o31bo6bobo$210bo32bo3bobbo$210boobbo29bobboboboo$198boo
11b3o35boboo$198boo11boo50boo$263boo$209bo$207b3o75bo$206bobbo74bo$
207bobbo73b3o$208bobo$169bo38b3o$165b5o7boo92boo$165bo3bobo4b3o92boo$
165b3o3b3o3b3o72boo3bo28bo$171boobb3o72b3o4boo27bobo$171bo73b3obo8boo
26boo$168b3o16boo60bobobb5o$168boo17boo61bo3b3o3$237bo$237bo7bo$237bo
5b3o$236boo3bobo$195boo45bobbo$195boo44bobboo$183bob4o$168bo3b3obo6boo
4bo$167bobo3bobobo5bo3boboo$167bob7oboo5b3obo$168b3oboo3bo$174b3o43bo$
175bo42booboo$159boobo7boo48bo$158b3obo6bobbo56boo$157bo4bobo4bo58bobb
o$158boo6bobo3bo48boo6boo$159bo3bobbobboo49bobbo$162boboo3bo49boo3bo
44bo$161bobo55bo4bo43bo$161bobo55bo3bo44b3o$220bobbo$221bo15boo$236bo
bbo$105b3o129boo$105b3o14boo146bo$104bo3bo7bobo4boo145bobo$105boob3o5b
obbobb3o145boo$105boo4bo4bobob6o41bo$108bobbo9bobboo40bobo$109boo11b3o
6boo18b3o15bo$123bo7boo36bo46bo$155bo10bobo45booboo$151bo3boo9bo50boo$
153bobo58b3o$133bo16b3o63bo3bo$131boobbo16bo22boo38bo3bo$131bo4bo38boo
39b3obo$132boobbobboo10boo40bo24boo$133boboobboo11boo38bobo22bobo$131b
4o17bo38booboo22bo$131b3o18boo37boo16boo6boo$111boo13boo23boo44boo9bo
bbo4b3o$111boo13boo63b3obbo12bobbobbooboo$116bo78boboo15bobb3o$115bob
oo4bo69bobbo17boo$99bo15bobbo4bobbo69bo11bo$98bobo15boboo5boo67boo11b
oo3bo$97bo3bo15boo89bo3boo$97bo3bo13bobo76bo13boboboo$97bobob3o12bo29b
o29b5o11booboo11bo3boo26bobo10bo$98boobobbo39booboo26boobbo15bo13b3o
29boo9bo$102bobo71bobbo12bo16b3o29bo10b3o$102boo43boo28boo3bobo9bo$
148bo34bo$142bo3bo$146bo3bo57bo$166bobo38b3o44bo$166boo42bo43bobo$144b
o22bo39booboo35boo5boo$96bo33bo14b3o58booboo37boo$96bo33bo5b3o58boo7b
ooboo36bo$96bo14boo16bobo3boobbo57boo8bobbo46boo$97boo12boo17bo3bo5bo
67b3o46bobo$97b3o30bo3bo73boo50bo$97boo36bobboo121bo$136boo7boo115bo$
145boo116bo$262boo$205boo$96bo22boo84boo58boo$95bobo21boo144bobo$95bo
bbo52bo116bo$150bobo74boo40bo$151bo76boo40bo$94bobbo45bo71boo10bo43bo$
94boob3o33boo9boo70boo52boo$96boobbo31bob3o8boo68bo$97bobbo31bo3bo10bo
125boo$89b3o5bobo33boobo5b5o126bobo$88bo45bo10bo89bo40bo$88bo3bo142boo
40bo$86boo3boo141bobo41bo$85bobbobobbo185bo$85bobbobobboo183boo$87boob
oobbo$88bo4bo43boo142boo$91booboo41boo142bobo$90b4o190bo$91boo57bobo
42boo88bo$150boo44boo88bo$151bo31boo10bo91bo$184boo100boo49b3o$183bo$
71bobo215boo47bo15boo$71bobobo7bo22bobo180bobo46boob3o10boo$70bobboobo
4b3o22boo19b3o73bo63b3o22bo32bo11bob4o11boo$71boo3boboboobo23bo19b3o
73boo62bobo23bo30boo11bob3o$71boo3boob5o42bo3bo71bobo62b3o24bo28boboo
11b3o15bo$75boboo3boo43boob3o150boo10bo27bobboo11bo14boobbo$74bobo12b
oo36boo4bo148bobboo7boo25b4ob3o24bo4bo$89boo39bobbo135boo11booboo33bo
bbobobboo22bo$131boo134booboo14bo10boo22bobobob3o6booboo15boo4boo$267b
oobboo10boo12bobo22boob3obo6booboo12booboo4boo$266boo3boo11bo7boo6bo
21b4obbobo6boboo14bo$163boo102boobboo19boo7bo23bo3bo8boo$95bo68boo61bo
40bobo31bo22bo3bo$94bobo54boo10bo63bo75bo21bobbo12boo$96bo55boo73bo74b
oo37boo$91boo3bo54bo78boo121bo$78boobo6boobo111bo26boo12boo38b3o18boo
45b4o$74bo3b6o4boobo111bo21bo3b3o11boo36b3obo19bobo44b4o$40bo32bo5bo4b
o3boo81bo31bo22b3o15bo37booboo10bo10bo17boo$40bo32bo11bo4bo4boo74boo
31boo21bo15b3o36booboo9bobo10bo$40bo33bo9bo5booboo75bobo31b3o19boo15b
3o38bo11bobboo9bo41b4o$44bo12bo21bo124boo20b3o16bo49b3obbo10bo41b3o$
40b3obbo10boo21bobbo136boo7bo14bobbo25boo14b4o6b3o9boo42bo$39bo4bo11bo
24bo87boo48boo5bo16b3o5boo19boo14boob3o37boo$39bo3bo124bo59bo15bo6boo
8bo14b3o7bobbobboo19boo15bobbo$40b3o125bobbo54b3o31bobo13bo4bo4b3o3bo
20bobo7b3o4bobboo8bo$26bo30b3o21boo83boob4o30bo55bo3bo16bobobbobbobbo
24bo12bobboo9boo$26bo7bo20boob3o20boo48boo32bo20b3o13bobo55bobo13bobbo
5bobo29bo11b4o9bobbo$26bo5b3o4bobo13boobbo72boo31bo3b3obbo27bobbo55bo
19boo3boo30bo24bobo$25boo3bobo6bobo13booboo4boo65bo33bobbobbob3o3bobo
38boo55bobbo38bo23boo$31bobbo4bobo14bobo5boo101boo4b3o4bo38bo7boo32b4o
13b3o37boo$30bobboo4bobo15bo111boobobo26bobbo22boo12bobo16bo4bo69bo$
40boo128boobo14bo6boo4boob3o26bo7bobbo17bo58boo13boo$90bobo80bo12b4o5b
oo6boobbo11b3o11bo7bobbo14bo3bobbo54bobo5boobbobbo$72bobo15boo47bo18bo
26bo3bo14bobbo11bobo11bo7bo3bo13bob3obo58bo4boobbobbo$37boo33b3o16bo
47boo16bobo25bobbo15bobo14boo19bobo15b3obo60bo11bo$28boo7boo33boo64bob
o15booboo25b3o30bobbo20bo82bo9b4o$28boo25bo100boo16boo44boo30boo73bo6b
obbobo$54bobo105boo9bobbo43bo30bobo4boo66boo5boo4boo$54bobo18bo80b3obb
o12bobbo38bo36bo4boo78bo$18bo35bobo16bobo84boboo53boo75bobbo31boo$18bo
36b3o15b3o82bobbo53bobo80bo30bobo$18bo39b3o15bo84bo11bo33boo6bo78bo3bo
33bo$22bo35boo12b5o22boo58boo11boo3bo29boo4boo80b4o34bo$18b3obbo76boo
71bo3boo35bobo117bo$17bo4bo76bo59bo13boboboo36boo118bo$17bo3bo135boob
oo11bo3boo24bo132bo$18b3o10bo128bo13b3o26bo133bo$30boboo123bo16b3o161b
o$30bob3o124bo179bo$17bobo11bo3bo71bo107boo123bo$17bobo12b3o72boo106b
oo124bo$17bobo13bo72bobo64bo168bo$17bobo11bo140b3o45boo108boo11bo$18b
oo10bobo142bo43bobo122bo$30boboo138booboo44bo108bobbo11bo$144bo26boob
oo157bo12bo$36bo3boo103boboobobo9boo7booboo156bo14bo$32boob3obboo97b3o
3b4o3bo9boo8bobbo136b3o18boo13bo$30bo6bo107bobbooboo20b3o138bo27bo6bo$
30boo5bo106bo28boo138bo27bobo6bo$35bo106b3o196bobbo6bo$142b3o17boo178b
oo8bo$22boo138boo189bo$22boo330bo$170boo183bo$75bo94boo184bo$75boo280b
o$74bobo55b3o223bo$131bo3bo52boo169bo$12bo117bo3boo34boo15bobo158bo11b
o$11bobo16bo100bo38boo17bo157bobo11bo$11bobboo12boo102b4o22b4o185bobo
12bo$9b7o13boo103boboo24bo185bo14bo$8bobbo3bo118bobbo6bobooboo7bo4bo
116b3o81bo$7b3obb7o116boo6b5obboo7boobo119bo75bo6bo$9b3obbo128bobb3obo
10bo119bo75bobo6bo$5bo4booboo134bo207bobbo6bo$4boo5b3obobbo339boo8bo$
3boboo5b3oboo116bo234bo$3bobboo7bo118bo140bo24bo69bo$b4ob3o124bobo138b
3o22bobo69bo$obbobobboo33bo90bo138b3obo61b3o30bo$bobobob3o33boo89boo
136bo3bo22bobbo3bob3o28bobo31bo$bboob3obo32bobo89b3o134boobbobbo22bo4b
o31bo3bo31bo$bb4obbobo259b3obb4o23boboobobo28bo3bo32bo$5bo3bo122bo4boo
133bo3bobbo23boo3bo29bo17boo6bo11bo$5bo3bo122bo5bo133bo6bo24bo33bo4boo
11boo5bobo11bo$5bobbo123bo5bo135bobbo37bo22bo6bo17bobo12bo$137bo138boo
boo33bobo22bo5bo18bo14bo$114b3o131b3o25bo14boo22bo23boo39bo$114b3o133b
o40boo48bo3bo28bo6bo$115bo133bo92bobo10boo16bobo6bo$6boo108boo238bo16b
obbo6bo$117bo237b3o6boo8boo8bo$116bo14boo4boo200b3o13bo8boo19bo$131boo
4boo116boo7boo9bobo60bo3bo43bo$255b3o6boo10boo61bobbo44bo$11boo136bo
105boobobo10boobboo48bobo13boo45bo$10bobo101boo32bo109boo11boobbo48bo
33bo30bo$3b3o4boo91bo10boo31boo127b6o43bobbo26bobboo30bo$9b3o86bobbobo
bbo3bo4bo31boo127boob4o11bo32bobo24bo3bo32bo$9boo87bo4boob5o4bo15bo16b
oo103bo25bobboo9bobo34bo23bo4bo32bo$98bo3bo4bobo4bobo15boo5boo9boo100b
3o24bobbo12bo33b3o26boo17bo3bo11bo$13boo98bo16bobo6boo11bo98b3obo16boo
bbo3boo13bo33bo23bo4bo17boobobo12bo$13boo85b3o11bobboo11bobbo116bo3bo
8boo8b3o14bo3bo32boo24bobbobo18boboo14bo$13bo87bo13bo3bo10boobo82b3o
30boobbobbo6boo8b3o14booboo34bo24boobbobo35bo$117boo12bobo84bo29b3obb
4o36bo33bobbo27bob4o33bo$11b3o103bo13bobo83bo32bo3bobbo27boo4boo34bobo
28bobboo14bo20bo$112boo17b3o116bo6bo27boo40bo30boobbo14bo21bo$103boo7b
oo17b3o118bobbo121bo22bo$103boo149booboo92booboo25bo12bo6bo$92b3o31bo
bbobo122bo96boo24b3obbo10boo7bo$92b3o30bo6bo216bo4bo21bo4bo11bo9bo$93b
o32bo5bo217bo25bo3bo23bo$94boo31bo222bobbo23b3o25bo$95bo157boo96bobo
40b3o9bo$94bo160bo96boo38boob3o9bo$253boo96b3o22bobo13boobbo11bo$268bo
62boo11b3o6bobo20bobo13booboo4boo6bo$268bo62boo11b4o28bobo14bobo5boo7b
o$92boo173bo75boobboo27bobo15bo16bo$92boo90b3o72bo84boobo29boo33bo$93b
o92bo72boo83b3o66bo$93bo91bo65b3o4boboo83bo68bo$92bobo163bobo101b3o50b
o$91bo166boo10boo89bo3bo27bo22bo$92bobboo11boo157boboo68boo19bo4bo26b
3o15boo5bo$93bo3bo9bobbo156b3o44bo24boo19bobbobo25b5o22bo$95boo13bo
157bo44b3o44boobobo29boo16bo5bo$95bo11bobbo164b3o35boboo45boobobbo26bo
bo9bo3b3o6bo$106b4o164bo39b3o47boobbo23boobboo13boo8bo$106bo150boo15bo
3bo35boo49b3o24boo4bo8boo13bo$106bo150boo13boo3boo117b3o24bo$271bobbob
obbo114boo28bo$271bobbobobboo113bobo28bo$273booboobbo112b3o30bo$97boo
175bo4bo113boo32bo$97boo53b3o122booboo105b3o3bo34bo$154bo121b4o107boo
bboo3bo32bo$153bo123boo13boo93boob3o37bo$292boo99boo36bo$387bo3boo39bo
$387boboobo40bo$277bo90boo13boo49bo$88b3o187bo89boo13boo50bo$88bobo
186bo105bo52bo$88b3o291bo54bo$101bo198boo79bobo54bo$101bobo196boo137bo
$90boo9boo179boo154boo$88booboo182bo5bobbo156b3o15boo6bo11boo$88boobb
oo175bo5bo5bobbo91boo63bo16bobbo4bobo10boo$87boo3boo174boo5bo4booboo
91boo64bo11boobb3obo3bobo$88boobboo26b3o144boboo10boo171bo6bobobooboo$
89bobo30bo144bobboo180bobo3boo3bobo$84bo36bo143b4ob3o179boo4bob4obbob
oo$76b3o3b4o178bobbobobboo186bo3boboboo$76bobo3booboo178bobobob3o185bo
3bobo$76b3obbo184boob3obo184bo3bobo$81boo3bo179b4obbobo168bo14boo3bo$
82b4o183bo3bo168bobo$83b3o183bo3bo169bo$269bobbo$471boo$471boo$249bo
106bo91bo37boo$248bobo106boboobobo82bobobo33bobbo$247booboo54bo44b3o3b
4o3bo77boo3bo4bobb3o28boobo$248bobbo53b3o49bobbooboo77boo4bo4bobobo31b
o$88b3o159b3o52boboo47bo98boo32boo$90bo159bobo53b3o45b3o117boo$89bo
161boo53boo46b3o17boo74b3o5boo15bo$79bo171boo121boo82boo12b3o$79bo385b
oo5bo$79bo385bobo$467bo$249bo85b3o129boo$248bobo83bo$248bobo82bo4boo$
249bo82bo3bo15b3o27boo59boo15bo$332bobbo4bo4boo35boo58bobo14bobo$332bo
3bo3bo4b3obo92bo16bobo$333boobob3o100boo17bo$336bo39bo78boo$257bo11bo
67b4o34b3obobo72bobo$256bobo11bo68boo11boboo17boo5boboo70bo$256bobo9b
3o81bobbo26bo70boo$235bobo19bo94b3o18bo5b3o$234booboo27bo110bo$235bob
oo27b3o47bo58boo$239bo25boobbo45bobo57bo$238bo28bobbo98bo4bo$238bo25bo
bobbo45bobbo3bob3o42bo4bo$226boo37b3o49bo4bo$212bo9bo3b3o38bo50boboobo
bo$212b4o5bobobbo38bobo51boo3bo$212bo3bo5bo3bobbo35boo53bo15boo3boo$
230bo105boo3boo$214b3o10bobo$228boo$$262bo172bo$261bobo171b3o42boo$
260booboo173bo42bo$260booboo79boo3boo86boo42bobo$233boo24b3o65bo16boo
3boo131boo$236boo21b3o3bo12boo27bo19b3o$233b3oboo20b3o4bo11boo18bo7bob
o10bo6bo3bo95booboo$237bo22boo5bo29b3o5booboo9bo3b3o4bo95boobo$227boo
4bo3bo22b3o34boboo4boo12bo3b3oboboo98bo$229bo3boboo24boo35b3o10boo10b
oo3bo100b3o4boo$217boo6bobbo33boo34boo5b3obbo116boo3bo3boo43boo$217boo
5bo12bobo37boo30boboo113bobb4o48boo4boo$237boo68bobbo115boobo15boo40b
oo$238bo23bo14bobo6boo22bo116bobb3o12bobo$261b3o13bo8boo20boo117bo5bo
13bo$260bo3bo89bo73b5o14boo$264boo42bo45bobo73bo55boo$263boo41booboo
43boo126boobboo$225boo19b3o31boo27bo171bobo$225boo23bo28b3o24bo174bo
12boo$250boo24boobbo27bo171boo11bobo$250bobbo27bo211bo$251bobo26boo
210boo$251bo28bo$250boo23bobobbo$249bobo24boobbobobo$251boo26boobobbo$
248boo29boo213boo$250bo29booboo26boo14b3o163bobo23bo$305b3o3boo14b3o
163bo23b3o$273b3o29bo19bobo164boo22bo$272b3oboo28bo17b3o173boo14boo$
272boo226boo$271boo49bobbo$272b3o50bo$273boboo44boobbo$276bo42b3obboob
o$267bo5bo45boo6bo$253boo11bobbo5boo$253boo15bo$265bo4bo$269boo$519boo
$266b3o245boobbobbo$499boo13bobobboo$321b3o174bobo16boo$261boo58bo176b
o19bo$261boo59bo15bo158boo16bobboboo$338bobo173boboboobo93boo$338boo
175bobo97boo$516bobboo$517boob3o$523bo$517boob3o$517boobo93boo$318boo
292b5o$321boo4bo181boo100bo4bo4bo$318boob4o3bo171boo7boo100bobb3o4bo$
315b5o4b4o173bo109boobbo5bo$284bo33b3o6bo173bobo109boo$283b3o14boo17bo
182boo$282bo10bobbo4bo16b3o$283booboo6b3obbobbo22bo173bo$284b3oboo5boo
bbobbo22bo171b3o$286b4o9bobbo193bo25boo$274bo25b3o6boo185boo24boo$273b
obo33boo293bo$272booboo45boo$272boo49boo264boobboo$278boo42bo266boobb
oo4boo9boo$272b3obbo229bo80boo6bo3b4oboo3boo4boob3o$276boboobboo222bob
o80bo7bo3b3o11b3oboobo$274bobbo4boo202boo18bobo80boobooboo6bobbo8boboo
4bo$277bo207bobo5boo12bo74boo5boo3bo20bo8bo$275boo23bo184bo7boo9b3o75b
oo31bo4bobobo$300bo3bo179boo18bo115bo4bo$275bo23bobobobo310bo7bo$275bo
24boboobo192bo118bo$300bo3bo189boobobo118bo3bo$276bo216bobobobo$273bob
3obbobo207bobboboboboo119boo$262bo10boobob3obo207b4oboobbo90boo$261b3o
8boo3booboo212bo4bo90boo15b3o$260bo10bobbo4bo210boobbob3o102bobb3obbo$
261booboo6b3obbobbo209boo3boo103bo8bobboo$262b3oboo5boobbobbo319bo5bob
o5bo$264b4o9bobbo319booboobbooboobbo$278b3o320bo7boboboo$610bo5$285boo
$285boo4$279boo$267boo9bo3boo$267boo9bo4bo$279bo3bo$279boboo$280bo4$
275boo$275boo!
Since the new caber tosser period is just 19 times a power of two, removing the factor of 19 leaves just the exact powers of two.
I have tried using exact powers of two a couple of times, but was unsuccessful. Maybe using a long enough fuse and a high enough power would work. But even if so, its initial size wouldn't beat the one shown above which is now nicely packed.
BCNU,
-dbell
