Spaceship Discussion Thread

[dbell]

The orthogonal 3c/7 period 21 double block puffer has a couple of more tricks up its sleeve than just being used to make a MWSS side rake.

Firstly, a backward glider can pass through the double block creating reaction (being slightly shifted) to suppress one block and then delete a second block.

The block deletion has the same impact as in one of the LWSS creating reactions. This allows a sideways LWSS to be made with only two gliders instead of three.

Code: Select all

#C An orthogonal 3c/7 period 21 sideways LWSS rake.
#C This uses a period 21 double block puffer and two period 21
#C backward glider rakes.
#C David I. Bell, 22 October 2026
x = 223, y = 301, rule = B3/S23
46bo11bo$45b3o9b3o$47bo9bo$43boboo11boobo$43bo4b3o3b3o4bo$42bob3ob3o3b
3ob3obo$$41b3ob4obo3bob4ob3o$41boo7bo3bo7boo$41b3obboboo5boobobb3o$$
46bobbo5bobbo$46bo11bo$44boobbobo3bobobboo$44bo3b3o3b3o3bo$42boo4bobbo
bobbo4boo$40bobooboboobbobobbooboboobo$39boobo3bo3bo3bo3bo3boboo$38bob
o3boo13boo3bobo$38boo8bo7bo8boo$39bo7b3o5b3o7bo$47boobo3boboo$37boobb
oo5b3o3b3o5boobboo$37bobo3bo5boo3boo5bo3bobo$41boboo15boobo$45bo13bo$
38bo5b3o11b3o5bo$44boo13boo$40bo23bo$18bo11bo11boo17boo$17b3o9b3o10b6o
9b6o$19bo9bo13bobo13bobo$15boboo11boobo5b3o4boo4bo4boo4b3o$15bo4b3o3b
3o4bo5boo4b3o3b3o3b3o4boo7bo11bo$14bob3ob3o3b3ob3obo5boobo6bo3bo6boboo
6booboo7booboo$49bobobobo15booboo7booboo$13b3ob4obo3bob4ob3o12bobooboo
bo13bo3boo7boo3bo$13boo7bo3bo7boo12bob5obo13b3o13b3o$13b3obboboo5boobo
bb3o10boo9boo14b3obooboob3o$45boo11boo9b3o5booboo5b3o$18bobbo5bobbo14b
o13bo8bo5boo7boo5bo$18bo11bo36bo6boobbobobboo6bo$16boobbobo3bobobboo
10bobo13bobo11b3obbobobb3o$16bo3b3o3b3o3bo13bo11bo8bo6bo9bo6bo$14boo4b
obbobobbo4boo7bo3bo11bo3bo5boo5bo7bo5boo$12bobooboboobbobobbooboboobo
5bo4bo9bo4bo9boobboo3boobboo$11boobo3bo3bo3bo3bo3boboo4bo4bo9bo4bo9b5o
5b5o76bo11bo$10bobo3boo13boo3bobo4bo17bo8bo7bobo7bo73bobo9bobo$10boo8b
o7bo8boo6b3o9b3o9bobbo3b3ob3o3bobbo71booboo7booboo$11bo7b3o5b3o7bo7bo
13bo6b3o21b3o68bo15bo$19boobo3boboo36booboobobbobbobobbobbobooboo68b3o
bbo5bobb3o$20b3o3b3o16bo13bo6b3o6bobbobobbo6b3o66bo7bo3bo7bo$12boo7boo
3boo7boo6bo22b3o7bo5bo7b3o67boobbooboobooboobboo$8bo31bo4bo11bo6booboo
6boo5boo6booboo65bobo4bo3bo4bobo$7b3o29b3o14b3o5b4o7boo5boo7b4o62b3ob
3obboo3boobb3ob3o$6bobboo27boobbo13boo17bo7bo73boob4ob3o3b3ob4oboo$6bo
3boo25boo3bo13boo19bo3bo76b4o4boo3boo4b4o$6boboboo25boobobo14bobbo7b3o
6bo3bo6b3o68bo5boo5boo5bo$7b3o29b3o14bobobo9bo17bo74bobbo5bobbo$8boo
29boo15bo9bo25bo69b3obo5bob3o$6boo33boo23bobbo8b3o8bobbo68bo5booboo5bo
$6bobo31bobo25boo4bo3b3o3bo4boo69b3obooboobooboob3o$3b3o37b3o11b3o6boo
boobb3obobobob3obbooboo64booboo15booboo$3bo41bo19bobb3obbobobbobobbobo
bb3obbo62boobooboob4ob4oboobooboo$boobo39boboo16b3oboo3b3obooboob3o3b
oob3o71boo3boo$boo43boo8bo3bo3boo7bob9obo7boo62bo23bo$o47bo5booboboboo
bbob3o3bobooboboboobo3b3obo60booboo6bo7bo6booboo$obo43bobo5booboboboo
6b3o5bo3bo5b3o64boo9boo5boo9boo$obo43bobo21bo17bo$b3o41b3o23b3o11b3o
66b3ob3o5b3ob3o5b3ob3o$72boo11boo67boobbobbo15bobbobboo$59bo12bobo9bob
o71bo3bo13bo3bo$bbo43bo11bobo98b4o13b4o$58bobo13bo9bo78boo9boo$45b3obo
9bo13bo11bo74boo15boo$47boboo3boo103b3obo11bob3o11bo11bo$47bobboobboo
103boobbo11bobboo10bobo9bobo$47bob3o105bo3b3o11b3o3bo7booboo7booboo$
48bobbo105b3ob3o5bo5b3ob3o7bo15bo$49boo18bo66bo11bo9boboobo4bobo4boboo
bo8b3obbo5bobb3o$59bo7bobo65b3o9b3o6bobbobbobobbo3bobbobobbobbo4bo7bo
3bo7bo$58bobo7boo64bobboo7boobbo6boo4bo3bo3bo3bo4boo6boobbooboobooboo
bboo$58bobo72bo3bobo5bobo3bo5bo8boo3boo8bo6bobo4bo3bo4bobo$59bo72boob
ooboo5boobooboo12bobo3bobo11b3ob3obboo3boobb3ob3o$132b4o3bo5bo3b4o10bo
boob3oboobo9boob4ob3o3b3ob4oboo$132bo3b4obobob4o3bo9boboobb3obboobo9b
4o4boo3boo4b4o$136bo11bo12bobbo4bo4bobbo9bo5boo5boo5bo$131bobo3boobbob
obboo3bobo7b3o11b3o13bobbo5bobbo$132bo4bobo5bobo4bo9bo13bo13b3obo5bob
3o$59bo102bo13bo12bo5booboo5bo$58bobo74boobo7boboo12b3o9b3o11b3obooboo
booboob3o$58bobo74b5o5b5o9bo19bo5booboo15booboo$59bo74boo4bo3bo4boo7bo
bobboo9boobbobo3boobooboob4ob4oboobooboo$73bo63b4o3b4o10bobobboo9boobb
obo13boo3boo$74boo55bob3obobobobobobob3obo6b4o11b4o6bo23bo$73boo55b3o
bbo5bobo5bobb3o6b3o11b3o4booboo6bo7bo6booboo$129boobbo7bobo7bobboo5b3o
11b3o5boo8boo5boo8boo$128boo3bo4bo7bo4bo3boo$59bo78bobo3bobo47b3ob3o$
58bobo77bobbobobbo17bo16bo31bo$58bobo70bo7boo3boo7bo9boo15b3o29b3o$59b
o67boboo23boobo5bobo13booboo27booboo$128b4o6bo7bo6b4o21b3o33b3o$132boo
17boo9boo14boo35boo$132boo17boo9b3o13b3o33b3o$132boo17boo9bobo15bo33bo
$131boo9bo9boo$59bo19bo50boo5bo3b3o3bo5boo24boo33boo$58bobo19bo48bo6bo
bobooboobobo6bo20boobo35boboo$58bobo17b3o47b3o4boobobo3boboboo4b3o5b3o
11bobbo35bobbo$59bo68bobbobboobobo5boboboobbobbo6bo14bo37bo$130bo23bo
7bobo9boo43boo$137bo9bo15bo9boboo41boobo$128bo5b3obbo5bobb3o5bo6bo9bob
oo41boobo$128bobb3o5bo5bo5b3obbo15boo47boo$111bo11bo9bobo13bobo14bo5b
oobo43boboo$59bo50b3o9b3o40bobo6b3o41b3o$58bobo51bo9bo12boo11boo5bo10b
oo6b3o41b3o$58bobo47boboo11boobo9bo11bo6bobo$59bo48bo4b3o3b3o4bo28boo$
107bob3ob3o3b3ob3obo45boo$162bo8boobo$83bobo20b3ob4obo3bob4ob3o32bobo
8bo$84boo20boo7bo3bo7boo32bobo7bobboo$84bo21b3obboboo5boobobb3o33bo11b
oo$59bo110bobbo$58bobo50bobbo5bobbo47boo$58bobo50bo11bo$59bo49boobbobo
3bobobboo$109bo3b3o3b3o3bo$36b3o5b3o25b3o5b3o24boo4bobbobobbo4boo34bo$
36bobbo3bobbo25bobbo3bobbo22bobooboboobbobobbooboboobo21bo9bobo$34boo
5bo5boo21boo5bo5boo19boobo3bo3bo3bo3bo3boboo18boo10bobo$34boo4b3o4boo
21boo4b3o4boo18bobo3boo13boo3bobo18boo10bo$41bo17bo17bo25boo8bo7bo8boo
$38boo3boo13bobo13boo3boo23bo7b3o5b3o7bo$34bo3bo5bo3bo9bobo9bo3bo5bo3b
o5bo21boobo3boboo$34bobbo7bobbo10bo10bobbo7bobbo3bobo11boobboo5b3o3b3o
5boobboo$34bobo9bobo21bobo9bobo4boo11bobo3bo5boo3boo5bo3bobo$33bobo11b
obo19bobo11bobo20boboo15boobo33bo$34boobo7boboo21boobo7boboo25bo13bo
36bobo$35boboo5boobo23boboo5boobo19bo5b3o11b3o5bo29bobo$38bo5bo29bo5bo
28boo13boo36bo$36b3o5b3o12bo12b3o5b3o22bo23bo$35b5o3b5o10bobo10b5o3b5o
23boo17boo$34b3obo5bob3o9bobo9b3obo5bob3o22b6o9b6o17bo$34boo11boo10bo
10boo11boo23bobo13bobo17bo$35booboo3booboo23booboo3booboo20b3o4boo4bo
4boo4b3o13b3o$36boo7boo25boo7boo21boo4b3o3b3o3b3o4boo31bo$34b3o9b3o21b
3o9b3o20boobo6bo3bo6boboo31bobo$32booboo9booboo17booboo9booboo7bo19bob
obobo40bobo$33bo15bo19bo15bo9boo16bobooboobo40bo$31boboobboo5boobboobo
7bo7boboobboo5boobboobo6boo17bob5obo$30bobbo3boo5boo3bobbo5bobo5bobbo
3boo5boo3bobbo22boo9boo$31boo3bobbo3bobbo3boo6bobo6boo3bobbo3bobbo3boo
22boo11boo$31boobobo9boboboo7bo7boobobo9boboboo22bo13bo$36boo7boo25boo
7boo$33bo15bo19bo15bo22bobo13bobo35bo$32boobbo9bobboo17boobbo9bobboo
24bo11bo37bobo$37bo7bo27bo7bo25bo3bo11bo3bo33bobo$32bo4boo5boo4bo17bo
4boo5boo4bo20bo4bo9bo4bo11bobo20bo$33bo3boo5boo3bo9bo9bo3boo5boo3bo21b
o4bo9bo4bo11boo$33bobboo7boobbo8bobo8bobboo7boobbo22bo17bo13bo$37boboo
boobo12bobo12bobooboobo28b3o9b3o$29boo8booboo8boo5bo5boo8booboo8boo10b
o9bo13bo$28boobo4bo3bobo3bo4boboo9boobo4bo3bobo3bo4boboo10bo$28bobbo6b
3ob3o6bobbo9bobbo6b3ob3o6bobbo8b3o8bo13bo37bo$27b4obb3obboo3boobb3obb
4o7b4obb3obboo3boobb3obb4o16bo52bobo$28boo3b3o11b3o3boo9boo3b3o11b3o3b
oo19bo11bo38bobo$28b3o21b3o9b3o21b3o30b3o38bo$32b4o11b4o8bo8b4o11b4o
34boo$33bobbo9bobbo8bobo8bobbo9bobbo35boo$32bobo13bobo7bobo7bobo13bobo
35bobbo$30bo21bo6bo6bo21bo32bobobo$30bo21bo13bo21bo32bo12bo$29bo23bo
11bo23bo44bobo25bo$30bo21bo13bo21bo45boo3b3o5b3o11bobo11b3o5b3o$28boob
oo17booboo9booboo17booboo31b3o14bobo5bobo11bobo11bobo5bobo$28bobboo8bo
8boobbo3b3o3bobboo8bo8boobbo48bobo5bobo12bo12bobo5bobo$28bo3bo7bobo7bo
3bo9bo3bo7bobo7bo3bo13bobo30boboo3bo3boobo21boboo3bo3boobo$28bo10bo3bo
10bo9bo10bo3bo10bo14boo14bo3bo11boo4bobo4boo21boo4bobo4boo$28bo3bob3ob
ooboboob3obo3bobbo3bobbo3bob3obooboboob3obo3bo14bo13booboboboo13boobob
oo29booboboo$33b4obbooboobb4o19b4obbooboobb4o33booboboboo12bo7bo27bo7b
o$29bo5boobbobobobboo5bo4bobo4bo5boobbobobobboo5bo50bobo3bobo27bobo3bo
bo$33bo4booboboo4bo9bo9bo4booboboo4bo50b5o7b5o9bo9b5o7b5o$32b3o3boobob
oo3b3o17b3o3booboboo3b3o48bobbo11bobbo7bobo7bobbo11bobbo$34bob3o5b3obo
10bo10bob3o5b3obo51bob3o7b3obo8bobo8bob3o7b3obo$31bo4bo9bo4bo7bo7bo4bo
9bo4bo50boboo5boobo11bo11boboo5boobo$29boob4o11b4oboo5bo5boob4o11b4ob
oo38bo8boobobo3boboboo21boobobo3boboboo$32b5o9b5o17b5o9b5o40b4o6b3obo
5bob3o21b3obo5bob3o$31bob4o9b4obo15bob4o9b4obo31boo5bobo$30bo21bo13bo
21bo30boo5boo13boo3boo29boo3boo$30bobo17bobo13bobo17bobo38bo15bobo33bo
bo$30bo21bo13bo21bo22bo28bo7bo13bo13bo7bo$31boo17boo15boo17boo21bobo
28boo5boo12bobo12boo5boo$31boob3o9b3oboo15boob3o9b3oboo22boo25boo11boo
9bobo9boo11boo$35bo11bo10b3o10bo11bo51boboo11boobo8bo8boboo11boobo$36b
oo7boo25boo7boo52boobboo7boobboo17boobboo7boobboo$36bobo5bobo25bobo5bo
bo52bobbobbo5bobbobbo17bobbobbo5bobbobbo$33b6o5b6o19b6o5b6o33boo15bo4b
o5bo4bo19bo4bo5bo4bo$34b4o7b4o21b4o7b4o34boo15bobbobbo3bobbobbo19bobbo
bbo3bobbobbo$35bo11bo23bo11bo49bo5bo9bo5bo13bo5bo9bo5bo$39bo3bo31bo3bo
54bobo15bobo7bo7bobo15bobo$39bo3bo31bo3bo58bo11bo10bobo10bo11bo$59bo
61bo12bo3bobo7bobo3bo6bobo6bo3bobo7bobo3bo$38bo11bo8bo61bobo10bobbo3bo
5bo3bobbo7bo7bobbo3bo5bo3bobbo$37b3o9b3o7bo61boo12boobboo7boobboo17boo
bboo7boobboo$36bobboo7boobbo62bo23bo9bo25bo9bo$35bo3bobo5bobo3bo62boob
oo$34boobooboo5boobooboo60boobboo18b5ob5o25b5ob5o$34b4o3bo5bo3b4o77bo
6booboobooboo6bo11bo6booboobooboo6bo$34bo3b4obobob4o3bo76b3o7bo5bo7b3o
4bo4b3o7bo5bo7b3o$38bo11bo80bobboo5bo5bo5boobbo3bobo3bobboo5bo5bo5boo
bbo$33bobo3boobbobobboo3bobo77bo3b5o5b5o3bo5bobo5bo3b5o5b5o3bo$34bo4bo
bo5bobo4bo4boo77boboo5boobo11bo11boboo5boobo$58bo73bo3bo15bo3bo11bo3bo
15bo3bo$37boobo7boboo4bo51boo22boboobbo11bobboobo11boboobbo11bobboobo$
37b5o5b5o55b4o21bob4o13b4obo11bob4o13b4obo$36boo4bo3bo4boo53booboo24bo
17bo17bo17bo$39b4o3b4o57boo$33bob3obobobobobobob3obo77bo21bo6bo6bo21bo
$32b3obbo5bobo5bobb3o75bobo19bobo4bobo4bobo19bobo$31boobbo7bobo7bobboo
73bo25bo3bobo3bo25bo$30boo3bo4bo7bo4bo3boo72bobbo19bobbo4bo4bobbo19bo
bbo$40bobo3bobo86bo17bo17bo17bo$40bobbobobbo48bobbo32bobbo6b3o6bobbo
13bobbo6b3o6bobbo$33bo7boo3boo7bo40bo32bo4b4o4bo3bo4b4o4bo5bo4b4o4bo3b
o4b4o4bo$29boboo23boobo36bo3bo29boboobo3boboo3boobo3boboobo3bo3boboobo
3boboo3boobo3boboobo$29b4o7bo7bo7b4o36b4o31bo5bob5ob5obo5bo4bo4bo5bob
5ob5obo5bo$27boobo27boboo79bo5bo14bo14bo5bo$26bobbo29bobbo73bobboo7boo
bbo19bobboo7boobbo$26boobbo27bobboo72bobbobo7bobobbo17bobbobo7bobobbo$
28b3o27b3o73boo4boo5boo4boo15boo4boo5boo4boo$29boo27boo75boboboo7boobo
bo17boboboo7boobobo$133boboobobo7boboboobo13boboobobo7boboboobo$27bo
33bo24boo44boo21boo11boo21boo$26b3o31b3o22booboo43boo19boo13boo19boo$
27boo31boo24b4o43b6o11b6o5b3o5b6o11b6o$23b3o37b3o21boo43boob4o11b4oboo
11boob4o11b4oboo$22bo43bo65boobobo13boboboo11boobobo13boboboo$22bobbo
37bobbo66boboo15boobo13boboo15boobo$21bo45bo65bo4boo9boo4bo13bo4boo9b
oo4bo$20b3o43b3o65bo4bo9bo4bo15bo4bo9bo4bo$135bo4bo7bo4bo17bo4bo7bo4bo
$23bo41bo9b4o58b5o5b5o21b5o5b5o$24bo39bo10bo3bo57b3obo5bob3o10bo10b3ob
o5bob3o$22b3o39b3o8bo60boobb3o3b3obboo9bo9boobb3o3b3obboo$23bo41bo10bo
bbo56bo15bo9bo9bo15bo$22boo41boo70bo13bo21bo13bo3$141bo11bo$66boo72b3o
9b3o$65b4o73bo9bo$64booboo69boboo11boobo$65boo71bo4b3o3b3o4bo4b3o$137b
ob3ob3o3b3ob3obo$$136b3ob4obo3bob4ob3o$136boo7bo3bo7boo$136b3obboboo5b
oobobb3o$55bobbo$54bo86bobbo5bobbo$54bo3bo82bo11bo$54b4o81boobbobo3bob
obboo$139bo3b3o3b3o3bo$137boo4bobbobobbo4boo$135bobooboboobbobobboobob
oobo$134boobo3bo3bo3bo3bo3boboo$133bobo3boo13boo3bobo$133boo8bo7bo8boo
$44boo88bo7b3o5b3o7bo$43booboo94boobo3boboo$44b4o95b3o3b3o$45boo88boo
7boo3boo7boo$131bo31bo$130b3o29b3o$129bobboo27boobbo$129bo3boo25boo3bo
$129boboboo25boobobo$33b4o93b3o29b3o$33bo3bo93boo29boo$33bo95boo33boo$
34bobbo91bobo31bobo$126b3o37b3o$126bo41bo$124boobo39boboo$124boo43boo$
24boo97bo47bo$23b4o96bobo43bobo$22booboo96bobo43bobo$23boo99b3o41b3o3$
125bo43bo3$13bobbo$12bo$12bo3bo$12b4o!

Secondly, it allows the creation of a period 21 forward glider stream. This is useful since the normal glider kick-back reaction does not work
for 3c/7 period 21 glider streams.

Code: Select all

#C An orthogonal 3c/7 period 21 forward glider rake.
#C This uses a period 21 sideways MWSS rake, a period 21 double block
#C puffer, and a period 7 spaceship to delete unwanted blinkers.
#C David I. Bell, 22 October 2026
x = 180, y = 334, rule = B3/S23
85bo11bo$84bobo9bobo$83booboo7booboo$83bo15bo$83b3obbo5bobb3o$81bo7bo
3bo7bo$82boobbooboobooboobboo$82bobo4bo3bo4bobo$79b3ob3obboo3boobb3ob
3o$79boob4ob3o3b3ob4oboo$80b4o4boo3boo4b4o$81bo5boo5boo5bo$85bobbo5bo
bbo$84b3obo5bob3o$83bo5booboo5bo$82b3obooboobooboob3o$79booboo15booboo
$78boobooboob4ob4oboobooboo$88boo3boo$79bo23bo$76booboo6bo7bo6booboo$
76boo9boo5boo9boo$$76b3ob3o5b3ob3o5b3ob3o$76boobbobbo15bobbobboo$80bo
3bo13bo3bo$81b4o13b4o$85boo9boo$82boo15boo$57bo11bo11b3obo11bob3o$56bo
bo9bobo10boobbo11bobboo$55booboo7booboo7bo3b3o11b3o3bo$55bo15bo7b3ob3o
5bo5b3ob3o$55b3obbo5bobb3o8boboobo4bobo4boboobo9bo11bo$53bo7bo3bo7bo4b
obbobbobobbo3bobbobobbobbo6b3o9b3o$54boobbooboobooboobboo6boo4bo3bo3bo
3bo4boo6bobboo7boobbo$54bobo4bo3bo4bobo6bo8boo3boo8bo5bo3bobo5bobo3bo$
51b3ob3obboo3boobb3ob3o11bobo3bobo12boobooboo5boobooboo$51boob4ob3o3b
3ob4oboo9boboob3oboobo10b4o3bo5bo3b4o$52b4o4boo3boo4b4o9boboobb3obboob
o9bo3b4obobob4o3bo$53bo5boo5boo5bo9bobbo4bo4bobbo12bo11bo$57bobbo5bobb
o13b3o11b3o7bobo3boobbobobboo3bobo$56b3obo5bob3o13bo13bo9bo4bobo5bobo
4bo$55bo5booboo5bo12bo13bo$54b3obooboobooboob3o11b3o9b3o12boobo7boboo$
51booboo15booboo5bo19bo9b5o5b5o$50boobooboob4ob4oboobooboo3bobobboo9b
oobbobo7boo4bo3bo4boo$60boo3boo13bobobboo9boobbobo10b4o3b4o$51bo23bo6b
4o11b4o6bob3obobobobobobob3obo$48booboo6bo7bo6booboo4b3o11b3o6b3obbo5b
obo5bobb3o$49boo8boo5boo8boo5b3o11b3o5boobbo7bobo7bobboo$104boo3bo4bo
7bo4bo3boo$60b3ob3o47bobo3bobo$47bo31bo16bo17bobbobobbo$46b3o29b3o15b
oo9bo7boo3boo7bo$45booboo27booboo13bobo5boboo23boobo$44b3o33b3o21b4o6b
o7bo6b4o$44boo35boo14boo9boo17boo$44b3o33b3o13b3o9boo17boo$46bo33bo15b
obo9boo17boo$107boo9bo9boo$45boo33boo24boo5bo3b3o3bo5boo$42boobo35bob
oo20bo6bobobooboobobo6bo$42bobbo35bobbo19b3o4boobobo3boboboo4b3o$44bo
37bo21bobbobboobobo5boboboobbobbo$40boo43boo8booboo6bo23bo$39boboo41b
oobo6boo3boo12bo9bo$39boboo41boobo7bobobo4bo5b3obbo5bobb3o5bo$38boo47b
oo6bobobo4bobb3o5bo5bo5b3obbo$38boobo43boboo6bo3bo9bobo13bobo$40b3o41b
3o9b3o$40b3o41b3o10bo13boo11boo$94bo17bo11bo$93bobo$86boo5boo$86boboo$
88bo16bobo$85boobbo16boo$85boo11bo7bo$87bobbo6bobo$88boo7bobo$98bo6$
98bo$97bobo$97bobo$98bo13bo$110bobo$111boo4$98bo$97bobo$97bobo$98bo5$
116bo$98bo18boo$97bobo16boo$97bobo$98bo6$98bo$97bobo$97bobo$98bo$122bo
$123bo$121b3o3$98bo$97bobo57b3o9b3o$97bobo57bobo9bobo$98bo57bobbo9bobb
o$156bob4o5b4obo$154boo4bobo3bobo4boo$155b3oboobo3boboob3o$75b3o5b3o
25b3o5b3o31bo8bo3bo8bo$75bobo5bobo25bobo5bobo31bobobboobo5boboobbobo$
75bobo5bobo12bo12bobo5bobo30bo3boo4bo3bo4boo3bo$73boboo3bo3boobo9bobo
9boboo3bo3boobobbobo24bobo5bo5bo5bobo$73boo4bobo4boo9bobo9boo4bobo4boo
3boo25bo4b3o5b3o4bo$77booboboo14bo14booboboo7bo$76bo7bo27bo7bo37boobo
5boboo$76bobo3bobo27bobo3bobo35booboobo3bobooboo$72b5o7b5o19b5o7b5o31b
ooboobooboobooboo$71bobbo11bobbo17bobbo11bobbo27boo8bobo8boo$72bob3o7b
3obo19bob3o7b3obo26boo3bob6ob6obo3boo$74boboo5boobo11bo11boboo5boobo
29bobo3boo9boo3bobo$73boobobo3boboboo9bobo9boobobo3boboboo26boboo3bo
13bo3boobo$73b3obo5bob3o9bobo9b3obo5bob3o26bobo6b3o5b3o6bobo$98bo51boo
25boo$77boo3boo29boo3boo30bo11bo3bo11bo$79bobo33bobo31boo3bo4bo3bobo3b
o4bo3boo$76bo7bo27bo7bo12bo15bobbooboo3bobo3bobo3booboobbo$76boo5boo
27boo5boo10bobo20b3o15b3o$73boo11boo21boo11boo8boo21bobbo11bobbo$71bob
oo11boobo8bo8boboo11boobo32bo11bo$71boobboo7boobboo7bobo7boobboo7boobb
oo30bobo11bobo$71bobbobbo5bobbobbo7bobo7bobbobbo5bobbobbo29boo15boo$
72bo4bo5bo4bo9bo9bo4bo5bo4bo28boobboo11boobboo$72bobbobbo3bobbobbo19bo
bbobbo3bobbobbo32boo11boo$69bo5bo9bo5bo13bo5bo9bo5bo24boobo17boboo$70b
obo15bobo15bobo15bobo24bobobbobbo3b3o3bobbobbobo$74bo11bo23bo11bo31bo
bbobo3b3o3bobobbo$70bo3bobo7bobo3bo15bo3bobo7bobo3bo24b3o4bo3bo3bo3bo
4b3o$70bobbo3bo5bo3bobbo7bo7bobbo3bo5bo3bobbo34bobobobo$71boobboo7boo
bboo7bobo7boobboo7boobboo34bo7bo$75bo9bo11bobo11bo9bo15bo22bobo3bobo$
98bo39boo17b3o3b3o3b3o$75b5ob5o25b5ob5o15boo18bobo9bobo$68bo6boobooboo
boo6bo11bo6booboobooboo6bo28boo11boo$67b3o7bo5bo7b3o9b3o7bo5bo7b3o26bo
15bo$67bobboo5bo5bo5boobbo9bobboo5bo5bo5boobbo$69bo3b5o5b5o3bo13bo3b5o
5b5o3bo29boo11boo$74boboo5boobo11bo11boboo5boobo35boo9boo$68bo3bo15bo
3bo4bobo4bo3bo15bo3bo24b3obboo9boobb3o$68boboobbo11bobboobo4bobo4boboo
bbo11bobboobo25boo17boo$68bob4o13b4obo5bo5bob4o13b4obo30bo9bo$71bo17bo
17bo17bo30b3o11b3o$157bo13bo$69bo21bo13bo21bo$68bobo19bobo11bobo19bobo
14bo$67bo25bo9bo25bo14bo27bo$67bobbo19bobbo4bo4bobbo19bobbo12b3o13b3o$
71bo17bo7bobo7bo17bo32bo$69bobbo6b3o6bobbo5bobo5bobbo6b3o6bobbo33bo$
65bo4b4o4bo3bo4b4o4bobbobbo4b4o4bo3bo4b4o4bo26bo$66boboobo3boboo3boobo
3boboobo7boboobo3boboo3boobo3boboobo26boo$67bo5bob5ob5obo5bo9bo5bob5ob
5obo5bo27bobbo$77bo5bo29bo5bo39bo$72bobboo7boobbo19bobboo7boobbo$71bo
bbobo7bobobbo7b3o7bobbobo7bobobbo32bo$70boo4boo5boo4boo15boo4boo5boo4b
oo31bo$71boboboo7boobobo17boboboo7boobobo31bobo$69boboobobo7boboboobo
13boboobobo7boboboobo$68boo21boo11boo21boo28b3o$69boo19boo13boo19boo
19bobo$69b6o11b6o13b6o11b6o20boo$68boob4o11b4oboo11boob4o11b4oboo19bo
6bo5bo$68boobobo13boboboo5bo5boobobo13boboboo25bobo3bobo$69boboo15boob
o6bo6boboo15boobo26boo5boo$69bo4boo9boo4bo6bo6bo4boo9boo4bo$70bo4bo9bo
4bo15bo4bo9bo4bo$71bo4bo7bo4bo17bo4bo7bo4bo$73b5o5b5o21b5o5b5o$73b3obo
5bob3o21b3obo5bob3o$72boobb3o3b3obboo19boobb3o3b3obboo$72bo15bo19bo15b
o$73bo13bo21bo13bo23boo12boo$97b3o46boob3o9boo$147b5o$77bo11bo58b3o$
76b3o9b3o$78bo9bo$74boboo11boobo$74bo4b3o3b3o4bo$73bob3ob3o3b3ob3obo$
98bo37b5o20boo$72b3ob4obo3bob4ob3o3bo37bo4bo19boo$72boo7bo3bo7boo3bo
37bo$72b3obboboo5boobobb3o42bo3bo$139bo$77bobbo5bobbo$77bo11bo$43b3o9b
3o17boobbobo3bobobboo$43bobo9bobo17bo3b3o3b3o3bo35b3o$42bobbo9bobbo14b
oo4bobbobobbo4boo32b5o30boo$42bob4o5b4obo12bobooboboobbobobbooboboobo
29boob3o30boo$40boo4bobo3bobo4boo9boobo3bo3bo3bo3bo3boboo29boo$41b3ob
oobo3boboob3o9bobo3boo13boo3bobo$39bo8bo3bo8bo7boo8bo7bo8boo$39bobobb
oobo5boboobbobo8bo7b3o5b3o7bo$38bo3boo4bo3bo4boo3bo15boobo3boboo$39bob
o5bo5bo5bobo17b3o3b3o30bo$40bo4b3o5b3o4bo11bo7boo3boo7bo21bo3bo$70b4o
19b4o18bo45boo$44boobo5boboo13boobbo17bobboo18bo4bo40boo$42booboobo3bo
booboo12bo23bo19b5o$42booboobooboobooboo24bo40b3o9b3o$39boo8bobo8boo9b
obo8b3o8bobo28bobbo7bobbo$37boo3bob6ob6obo3boo6boobo3booboobobooboo3bo
boo26boo13boo$38bobo3boo9boo3bobo10bobboobobo3boboboobbo27boobo3bo5bo
3boboo$36boboo3bo13bo3boobo3booboobbo5booboo5bobbooboo25b3oboo3boob3o$
36bobo6b3o5b3o6bobo5bo4b3o3bo3bo3b3o4bo23bo21bo$36boo25boo10bo3boo5boo
3bo13boo14bobob5o3b5obobo19boo$36bo11bo3bo11bo9bo17bo11boob3o11bo3bobb
oo3boobbo3bo19boo$35boo3bo4bo3bobo3bo4bo3boo7bo19bo11b5o11bo3b3o7b3o3b
o$35bobbooboo3bobo3bobo3booboobbo11boo9boo16b3o12bo4bo9bo4bo$40b3o15b
3o12bo3bo11bo3bo31b3o7b3o$41bobbo11bobbo14bobbo11bobbo31bobboo5boobbo$
44bo11bo21bo9bo38boo5boo$42bobo11bobo17boo11boo32boo4bo3bo4boo$41boo
15boo62bo3bo3bobo3bo3bo$39boobboo11boobboo32b5o20boob3obobobobobobob3o
boo17boo$43boo11boo36bo4bo18bo5boo4bobo4boo5bo16boo$38boobo17boboo31bo
22bo4boo15boo4bo$37bobobbobbo3b3o3bobbobbobo31bo3bo17b3o8bo5bo8b3o$40b
obbobo3b3o3bobobbo36bo28boo7boo$37b3o4bo3bo3bo3bo4b3o63bobbobobbo$47bo
bobobo65bo8boo3boo8bo$46bo7bo61bo3bo7bo5bo7bo3bo$46bobo3bobo30b3o31bo
23bo$43b3o3b3o3b3o26b5o25boo31boo12boo$43bobo9bobo25boob3o24bobboo27b
oobbo11boo$43boo11boo26boo27boobbo27bobboo$42bo15bo55boobbo25bobboo$
115bobo27bobo$43boo11boo$44boo9boo56b3o31b3o$39b3obboo9boobb3o14bo36bo
35bo$40boo17boo13bo3bo32boobbo31bobboo$45bo9bo17bo36boo39boo8boo$42b3o
11b3o14bo4bo30bobbo37bobbo7boo$43bo13bo15b5o30boo43boo$107bo47bo$107b
3o43b3o$58bo49boo43boo$44b3o$44bo64bobo39bobo$47bo61bobo39bobo$44bo18b
oo96boo$43boo17boob3o41boo41boo7boo$43bobbo16b5o87bo$45bo18b3o86bobboo
$153bo3bo$44bo110bobbo$44bo110bobbo$43bobo110boo$$43b3o6b5o$52bo4bo$
52bo$41bo11bo3bo$40bobo12bo$40boo$$57b3o9b3o$56bo3bo7bo3bo$55bobo3bo5b
o3bobo$46bo8bo3boo7boo3bo$44b5o6b3o3bo5bo3b3o$44boob3o4bo3boob3ob3oboo
3bo$40boobb5o5boobbo3booboo3bobboo$40boo4bo6b3o3b5ob5o3b3o$61bo5bo$38b
o19bo11bo$37boo14bo4bo11bo4bo$37bobo13bo4b4o5b4o4bo$57bo4bo3bo4bo$32b
oo22boob3o5b3oboo$32bobo21boobo3bobo3boboo$32bo19b3o7booboo7b3o$51bo3b
oo4bobobobo4boo3bo$27boo21bo3bo19bo3bo$26boo22bo9b3o3b3o9bo$28bo25bo6b
oo3boo6bo$49bo12bo3bo12bo$21b3o25bobboo5bo9bo5boobbo$21bo28boo8bo7bo8b
oo$22bo25bo12bo5bo12bo$17bo29b3o29b3o$16boo28boobbo27bobboo$16bobo30b
oo27boo$49bo29bo$11boo$11bobo32bo35bo$11bo35boo31boo$45bobbo31bobbo$6b
oo36bo39bo$5boo36boo39boo$7bo34b4o37b4o$41bo45bo$3o38b3o41b3o$o39bo47b
o$bo40boo41boo$44bo39bo$42boo41boo$43bo41bo$42bo43bo$42bo43bo!

Before finding this, I found a reaction using two backward gliders and a LWSS which produces a forward glider. The reaction is quick and general so it is worth demonstrating here anyway in case the reaction is useful elsewhere.

Code: Select all

#C An orthogonal 3c/7 period 21 forward glider rake.
#C This uses a period 21 sideways MWSS rake and two period 21 backward
#C glider rakes.  The reaction used here isn't period 21 specific.
#C David I. Bell, 22 October 2026
x = 370, y = 463, rule = B3/S23
260bo11bo$259bobo9bobo$258booboo7booboo$258bo15bo$258b3obbo5bobb3o$
256bo7bo3bo7bo$257boobbooboobooboobboo$257bobo4bo3bo4bobo$254b3ob3obb
oo3boobb3ob3o$254boob4ob3o3b3ob4oboo$255b4o4boo3boo4b4o$256bo5boo5boo
5bo$260bobbo5bobbo$259b3obo5bob3o$258bo5booboo5bo$257b3obooboobooboob
3o$254booboo15booboo$253boobooboob4ob4oboobooboo$263boo3boo$254bo23bo$
251booboo6bo7bo6booboo$251boo9boo5boo9boo$$251b3ob3o5b3ob3o5b3ob3o$
251boobbobbo15bobbobboo$255bo3bo13bo3bo$256b4o13b4o$260boo9boo$257boo
15boo$256b3obo11bob3o$256boobbo11bobboo$254bo3b3o11b3o3bo$254b3ob3o5bo
5b3ob3o$255boboobo4bobo4boboobo9bo11bo$253bobbobbobobbo3bobbobobbobbo
6b3o9b3o$254boo4bo3bo3bo3bo4boo6bobboo7boobbo$254bo8boo3boo8bo5bo3bobo
5bobo3bo$262bobo3bobo12boobooboo5boobooboo$260boboob3oboobo10b4o3bo5bo
3b4o$259boboobb3obboobo9bo3b4obobob4o3bo$258bobbo4bo4bobbo12bo11bo$
258b3o11b3o7bobo3boobbobobboo3bobo$259bo13bo9bo4bobo5bobo4bo$259bo13bo
$259b3o9b3o12boobo7boboo$256bo19bo9b5o5b5o$255bobobboo9boobbobo7boo4bo
3bo4boo$255bobobboo9boobbobo10b4o3b4o$257b4o11b4o6bob3obobobobobobob3o
bo$258b3o11b3o6b3obbo5bobo5bobb3o$258b3o11b3o5boobbo7bobo7bobboo$279b
oo3bo4bo7bo4bo3boo$289bobo3bobo$271bo17bobbobobbo$247bo7bo15boo9bo7boo
3boo7bo$246bobo5bobo13bobo5boboo23boobo$245booboo3booboo21b4o6bo7bo6b
4o$246bobo5bobo15boo9boo17boo$244boboo3bo3boobo12b3o9boo17boo$202b3o9b
3o27b7ob7o12bobo9boo17boo$202bobbo7bobbo31b7o27boo9bo9boo$201boo13boo
29bobooboobo25boo5bo3b3o3bo5boo$199boobo3bo5bo3boboo24boobo7boboo21bo
6bobobooboobobo6bo$202b3oboo3boob3o26b3oboo5boob3o11b3o5b3o4boobobo3bo
boboo4b3o$198bo21bo21bo17bo18bobbobboobobo5boboboobbobbo$199bobob5o3b
5obobo25boboo5boobo23bo23bo$199bo3bobboo3boobbo3bo49boo3boobo10bo9bo$
199bo3b3o7b3o3bo29bo3bo14bo9boo5b3obbo5bobb3o5bo$199bo4bo9bo4bo24bob3o
5b3obo9boo5booboobb3o5bo5bo5b3obbo$203b3o7b3o29bob3o3b3obo26bobo13bobo
$202bobboo5boobbo32bo3bo$205boo5boo34boo3boo31boo11boo$201boo4bo3bo4b
oo29boo5boo17bo13bo11bo$200bo3bo3bobo3bo3bo27b3o5b3o15bobo$197boob3obo
bobobobobob3oboo21b4o9b4o12bobo$196bo5boo4bobo4boo5bo19bo17bo12bo$195b
o4boo15boo4bo17boo3boo7boo3boo6boo$195b3o8bo5bo8b3o18bobobobo5bobobobo
7boo$204boo7boo27b3obb3o3b3obb3o$205bobbobobbo33bo7bo$194bo3boo6boo3b
oo6boo3bo17bo17bo22bo$194boobbobo5bo5bo5bobobboo48bo10bo$195boob3o17b
3oboo18bobobo9bobobo11bobo7b3o$195boobbobbo13bobbobboo20b3o9b3o13bobo$
196b7o13b7o18bob3obbo5bobb3obo11bo$197bobo3bo11bo3bobo20boob3o7b3oboo
7boo$197b3o19b3o24boo7boo11boo$199boobbo11bobboo26boboo3boobo$203bo11b
o30bo3bobo3bo$200bobobbo7bobbobo19b3o5bo3bobo3bo5b3o$197bobbooboo9boob
oobbo16boboo6bo5bo6boobo8bo$176bo11bo7booboobbo4b3o4bobbooboo15bobbo3b
ooboo3booboo3bobbo7bobo$175bobo9bobo8bobo6bo3bo6bobo20bobboo3bo3bo3boo
bbo10bobo$174booboo7booboo14bobbobobbo31bobbo5bobbo15bo$174bo15bo15bob
3obo27bobobobo9bobobobo5boo$174b3obbo5bobb3o5boo6bo4bo4bo6boo15boobo
19boboo3boo17bobo$172bo7bo3bo7bo10bobbo5bobbo28bo13bo29boo$173boobboob
oobooboobboo9b3o11b3o23boo17boo26bo$173bobo4bo3bo4bobo17bo$170b3ob3obb
oo3boobb3ob3o45bo21bo10bo$170boob4ob3o3b3ob4oboo6boo13boo21boo21boo8bo
bo$171b4o4boo3boo4b4o6b3o13b3o19b3o21b3o7bobo$172bo5boo5boo5bo7boobo
11boboo54bo$176bobbo5bobbo11b3o13b3o22boo8bo8boo6boo$175b3obo5bob3o10b
5o9b5o25bo5b3o5bo8b3o$174bo5booboo5bo9bobboo9boobbo20bo4bo3booboboo3bo
4bo$173b3obooboobooboob3o10boo11boo20b4obobobo9bobobob4o$170booboo15b
ooboo43boo5boo3bobo3boo5boo$169boobooboob4ob4oboobooboo3bobo15bobo25bo
11bo15bo$179boo3boo13bobo15bobo26b3o5b3o15bobo19bo$170bo23bo8bo11bo25b
3o15b3o10bobo17bobo$167booboo6bo7bo6booboo6bo10bobo23boobbobbo5bobbobb
oo11bo19boo$168boo8boo5boo8boo5bobo39boo11boo$205bo13b3o5b3o9boob4obo
7bob4oboo$179b3ob3o16bobo14bobbo3bobbo9bobbo17bobbo$171boo19boo11bo11b
oo5bo5boo11boo13boo$172boo17boo8b3o13boo4b3o4boo13bo11bo$169b3o21b3o5b
ooboo18bo48bo$170boo10bo10boo7b3o16boo3boo17bo11bo14bobo$171bo9b3o9bo
8b3o12bo3bo5bo3bo8bob4o11b4obo9bobo$169bobbo3b3obo3bob3o3bobbo7bo13bo
bbo7bobbo8bobobboo9boobbobo10bo$168boboboobobbobo3bobobboboobobo20bobo
9bobo9bo3b3o7b3o3bo$168bo13bo13bo19bobo11bobo15bo5bo$167bo3bo4booboo3b
ooboo4bo3bo19boobo7boboo11boo3bo5bo3boo38bo$168bobbo3bo3bobobobo3bo3bo
bbo3b3ob3o11boboo5boobo68boo31b3o9b3o$169bobbo7bo3bo7bobbo3booboboboo
13bo5bo15bobb4o3b4obbo38boo32bobo9bobo$173boo15boo27b3o5b3o13bo4bo5bo
4bo13bo57bobbo9bobbo$218b5o3b5o41bobo56bob4o5b4obo$175b3o9b3o27b3obo5b
ob3o40bobo54boo4bobo3bobo4boo$175bo13bo12bo14boo11boo41bo56b3oboobo3bo
boob3o$177bo9bo13bobo14booboo3booboo19b3o5b3o25b3o5b3o31bo8bo3bo8bo$
175bobo9bobo11b3o15boo7boo20bobo5bobo25bobo5bobo31bobobboobo5boboobbob
o$176bo11bo28b3o9b3o18bobo5bobo25bobo5bobo30bo3boo4bo3bo4boo3bo$206boo
7booboo9booboo14boboo3bo3boobo21boboo3bo3boobo29bobo5bo5bo5bobo$206boo
8bo15bo15boo4bobo4boo21boo4bobo4boo30bo4b3o5b3o4bo$214boboobboo5boobb
oobo17booboboo14bo14booboboo$213bobbo3boo5boo3bobbo15bo7bo12bobo12bo7b
o37boobo5boboo$192bobo19boo3bobbo3bobbo3boo16bobo3bobo12bobo12bobo3bob
o8bo26booboobo3bobooboo$192boo8bo11boobobo9boboboo12b5o7b5o9bo9b5o7b5o
5bo25booboobooboobooboo$193bo7bobo15boo7boo16bobbo11bobbo17bobbo11bobb
obb3o22boo8bobo8boo$201bobo12bo15bo14bob3o7b3obo19bob3o7b3obo26boo3bob
6ob6obo3boo$202bo12boobbo9bobboo15boboo5boobo23boboo5boobo29bobo3boo9b
oo3bobo$206boo12bo7bo19boobobo3boboboo21boobobo3boboboo26boboo3bo13bo
3boobo$206boo7bo4boo5boo4bo14b3obo5bob3o21b3obo5bob3o26bobo6b3o5b3o6bo
bo$216bo3boo5boo3bo40bo51boo25boo$216bobboo7boobbo19boo3boo13bobo13boo
3boo30bo11bo3bo11bo$220bobooboobo25bobo15bobo15bobo31boo3bo4bo3bobo3bo
4bo3boo$202bo9boo8booboo8boo14bo7bo13bo13bo7bo28bobbooboo3bobo3bobo3b
ooboobbo$201bobo7boobo4bo3bobo3bo4boboo13boo5boo27boo5boo33b3o15b3o$
201bobo7bobbo6b3ob3o6bobbo10boo11boo21boo11boo31bobbo11bobbo$202bo7b4o
bb3obboo3boobb3obb4o7boboo11boobo17boboo11boobo32bo11bo$187bo18boo3boo
3b3o11b3o3boo8boobboo7boobboo17boobboo7boobboo30bobo11bobo$187bobo16b
oo3b3o21b3o8bobbobbo5bobbobbo17bobbobbo5bobbobbo7bobo19boo15boo$187boo
26b4o11b4o13bo4bo5bo4bo9bo9bo4bo5bo4bo9boo17boobboo11boobboo$216bobbo
9bobbo14bobbobbo3bobbobbo8bobo8bobbobbo3bobbobbo9bo22boo11boo$215bobo
13bobo10bo5bo9bo5bo5bobo5bo5bo9bo5bo24boobo17boboo$202bo10bo21bo9bobo
15bobo7bo7bobo15bobo24bobobbobbo3b3o3bobbobbobo$201bobo9bo21bo13bo11bo
23bo11bo31bobbobo3b3o3bobobbo$201bobo8bo23bo8bo3bobo7bobo3bo15bo3bobo
7bobo3bo24b3o4bo3bo3bo3bo4b3o$202bo10bo21bo9bobbo3bo5bo3bobbo15bobbo3b
o5bo3bobbo34bobobobo$206boo3booboo17booboo8boobboo7boobboo17boobboo7b
oobboo34bo7bo$206boo3bobboo8bo8boobbo12bo9bo25bo9bo38bobo3bobo$211bo3b
o7bobo7bo3bo35bo58b3o3b3o3b3o$211bo10bo3bo10bo12b5ob5o11bobo11b5ob5o
35bobo9bobo$211bo3bob3obooboboob3obo3bo5bo6booboobooboo6bo4bobo4bo6boo
boobooboo6bo28boo11boo$183bo18bo13b4obbooboobb4o9b3o7bo5bo7b3o4bo4b3o
7bo5bo7b3o26bo15bo$181boo18bobo8bo5boobbobobobboo5bo5bobboo5bo5bo5boo
bbo9bobboo5bo5bo5boobbo10bo$182boo17bobo12bo4booboboo4bo11bo3b5o5b5o3b
o13bo3b5o5b5o3bo10bobo16boo11boo$202bo12b3o3booboboo3b3o15boboo5boobo
23boboo5boobo16boo17boo9boo$217bob3o5b3obo11bo3bo15bo3bo11bo3bo15bo3bo
24b3obboo9boobb3o$214bo4bo9bo4bo8boboobbo11bobboobo11boboobbo11bobboob
o25boo17boo$212boob4o11b4oboo6bob4o13b4obo5bo5bob4o13b4obo30bo9bo$215b
5o9b5o12bo17bo7bobo7bo17bo30b3o11b3o$214bob4o9b4obo37bobo57bo13bo$202b
o10bo21bo8bo21bo6bo6bo21bo$201bobo9bobo17bobo7bobo19bobo11bobo19bobo$
201bobo9bo21bo6bo25bo9bo25bo42bo$202bo11boo17boo7bobbo19bobbo9bobbo19b
obbo28b3o$214boob3o9b3oboo11bo17bo17bo17bo32bo15b3o5b3o$177bo40bo11bo
13bobbo6b3o6bobbo5b3o5bobbo6b3o6bobbo33bo12bobo5bobo$176bo42boo7boo10b
o4b4o4bo3bo4b4o4bo5bo4b4o4bo3bo4b4o4bo12bo13bo15bobo5bobo$35b3o9b3o
126b3o40bobo5bobo11boboobo3boboo3boobo3boboobo7boboobo3boboo3boobo3bob
oobo14boo10boo13boboo3bo3boobo$35bobbo7bobbo166b6o5b6o9bo5bob5ob5obo5b
o9bo5bob5ob5obo5bo14boo11bobbo11boo4bobo4boo$34boo13boo151bo14b4o7b4o
20bo5bo29bo5bo39bo16booboboo$32boobo3bo5bo3boboo148bobo14bo11bo16bobb
oo7boobbo19bobboo7boobbo50bo7bo$35b3oboo3boob3o151bobo18bo3bo19bobbobo
7bobobbo17bobbobo7bobobbo49bobo3bobo$31bo21bo148bo19bo3bo18boo4boo5boo
4boo15boo4boo5boo4boo44b5o7b5o$32bobob5o3b5obobo193boboboo7boobobo8bo
8boboboo7boobobo31bobo10bobbo11bobbo$32bo3bobboo3boobbo3bo127bo7bo27bo
7bo19boboobobo7boboboobo6bo6boboobobo7boboboobo28bo3bo10bob3o7b3obo$
32bo3b3o7b3o3bo126b3o5b3o25b3o5b3o17boo21boo5bo5boo21boo27bo3bo12boboo
5boobo$32bo4bo9bo4bo125bobboo3boobbo23bobboo3boobbo17boo19boo13boo19b
oo28bobobo11boobobo3boboboo$36b3o7b3o128boob9oboo21boob9oboo16b6o11b6o
13b6o11b6o29b3o12b3obo5bob3o$35bobboo5boobbo128boboo5boobo11bo11boboo
5boobo16boob4o11b4oboo11boob4o11b4oboo27bo3bo$38boo5boo130b3oboo3boob
3o9bobo9b3oboo3boob3o15boobobo13boboboo11boobobo13boboboo28bobo16boo3b
oo$34boo4bo3bo4boo120bobo3b3o4bo4b3o9bobo9b3o4bo4b3o16boboo15boobo13bo
boo15boobo22bo7bo19bobo$33bo3bo3bobo3bo3bo119boo7bo7bo13bo13bo7bo19bo
4boo9boo4bo13bo4boo9boo4bo23bo3bo5bo13bo7bo$30boob3obobobobobobob3oboo
117bo4bobbo7bobbo21bobbo7bobbo17bo4bo9bo4bo15bo4bo9bo4bo22b3obbobo3bob
o12boo5boo$29bo5boo4bobo4boo5bo120bobo11bobo19bobo11bobo17bo4bo7bo4bo
7b3o7bo4bo7bo4bo28boo5boo9boo11boo$28bo4boo15boo4bo120boobo7boboo21boo
bo7boboo20b5o5b5o21b5o5b5o46boboo11boobo$28b3o8bo5bo8b3o122boo7boo25b
oo7boo22b3obo5bob3o21b3obo5bob3o46boobboo7boobboo$37boo7boo132bo7bo27b
o7bo22boobb3o3b3obboo19boobb3o3b3obboo45bobbobbo5bobbobbo$38bobbobobbo
132bobo5bobo12bo12bobo5bobo21bo15bo19bo15bo46bo4bo5bo4bo$27bo3boo6boo
3boo6boo3bo120bo3bo3bo3bo10bobo10bo3bo3bo3bo21bo13bo21bo13bo47bobbobbo
3bobbobbo$27boobbobo5bo5bo5bobobboo120bobbo5bobbo10bobo10bobbo5bobbo
94bo21bo5bo9bo5bo$28boob3o17b3oboo121bobboo3boobbo11bo11bobboo3boobbo
92bo3bo20bobo15bobo$28boobbobbo13bobbobboo121booboo3booboo23booboo3boo
boo25bo11bo8bo44bo17boo10bo11bo$29b7o13b7o123bo9bo25bo9bo25b3o9b3o7bo
44bo4bo12boo6bo3bobo7bobo3bo$30bobo3bo11bo3bobo123bo11bo23bo11bo26bo9b
o9bo44b5o21bobbo3bo5bo3bobbo$30b3o19b3o111bo9bobo11bobo19bobo11bobo20b
oboo11boobo77boobboo7boobboo$32boobbo11bobboo113bobo6boobobbo5bobboboo
17boobobbo5bobboboo19bo4b3o3b3o4bo81bo9bo$36bo11bo117boo6bobo15bobo7bo
7bobo15bobo17bob3ob3o3b3ob3obo$33bobobbo7bobbobo121bo6boo5boo6bo5bobo
5bo6boo5boo6bo117b5ob5o$30bobbooboo9booboobbo119boobobobbo3bobboboboo
6bobo6boobobobbo3bobboboboo16b3ob4obo3bob4ob3o72bo6booboobooboo6bo$29b
ooboobbo4b3o4bobbooboo7bo11bo99bobobobo5bobobobo8bo8bobobobo5bobobobo
17boo7bo3bo7boo71b3o7bo5bo7b3o$31bobo6bo3bo6bobo8bobo9bobo100b3o9b3o
21b3o9b3o19b3obboboo5boobobb3o38boo26boo3bobboo5bo5bo5boobbo$38bobbobo
bbo14booboo7booboo98bobo11bobo19bobo11bobo78boob3o23boo5bo3b5o5b5o3bo$
39bob3obo15bo15bo97bo3bo9bo3bo17bo3bo9bo3bo22bobbo5bobbo43b5o35boboo5b
oobo$29boo6bo4bo4bo6boo5b3obbo5bobb3o97bo4bo7bo4bo17bo4bo7bo4bo22bo11b
o44b3o30bo3bo15bo3bo$36bobbo5bobbo10bo7bo3bo7bo101bo5bo29bo5bo26boobbo
bo3bobobboo75boboobbo11bobboobo$34b3o11b3o9boobbooboobooboobboo96b3obb
o7bobb3o8bo8b3obbo7bobb3o20bo3b3o3b3o3bo75bob4o13b4obo$42bo17bobo4bo3b
o4bobo101bo7bo12bobo12bo7bo23boo4bobbobobbo4boo76bo17bo$57b3ob3obboo3b
oobb3ob3o98bobo3bobo12bobo12bobo3bobo21bobooboboobbobobbooboboobo$34b
oo13boo6boob4ob3o3b3ob4oboo80bo15bobobooboobobo11bo11bobobooboobobo18b
oobo3bo3bo3bo3bo3boboo71bo21bo$33b3o13b3o6b4o4boo3boo4b4o79boo9b4o3bo
4bobo4bo3b4o9b4o3bo4bobo4bo3b4o10bobo3boo13boo3bobo24b5o34boo4bobo19bo
bo$33boobo11boboo7bo5boo5boo5bo81boo7bobboo6boo3boo6boobbo7bobboo6boo
3boo6boobbo9boo8bo7bo8boo24bo4bo33boo3bo25bo$33b3o13b3o11bobbo5bobbo
101bo4bo3bo4bo21bo4bo3bo4bo17bo7b3o5b3o7bo25bo43bobbo19bobbo$33b5o9b5o
10b3obo5bob3o93booboboboo11booboboboo7booboboboo11booboboboo18boobo3bo
boo34bo3bo42bo17bo$33bobboo9boobbo9bo5booboo5bo94bo23bo11bo23bo21b3o3b
3o37bo42bobbo6b3o6bobbo$35boo11boo10b3obooboobooboob3o95b4obo9bob4o7bo
7b4obo9bob4o16bo7boo3boo7bo69bo4b4o4bo3bo4b4o4bo$57booboo15booboo94bo
bbo9bobbo8bobo8bobbo9bobbo16b4o19b4o68boboobo3boboo3boobo3boboobo$32bo
bo15bobo3boobooboob4ob4oboobooboo95bo11bo10bobo10bo11bo18boobbo17bobb
oo69bo5bob5ob5obo5bo$32bobo15bobo13boo3boo101bobo15bobo7bo7bobo15bobo
15bo23bo17b3o60bo5bo$36bo11bo8bo23bo90boo21boo11boo21boo25bo28b5o54bo
bboo7boobbo$34bobo10bo6booboo6bo7bo6booboo161bobo8b3o8bobo15boob3o53bo
bbobo7bobobbo$47bobo5boo8boo5boo8boo88bobo19bobo11bobo19bobo12boobo3b
ooboobobooboo3boboo15boo55boo4boo5boo4boo$22b3o5b3o13bo124bobbo19bobbo
9bobbo19bobbo14bobboobobo3boboboobbo76boboboo7boobobo$22bobbo3bobbo14b
obo16b3ob3o83bo14bobbo19bobbo4bo4bobbo19bobbo9booboobbo5booboo5bobboob
oo69boboobobo7boboboobo$20boo5bo5boo11bo11boo19boo74bo16b3o8b3o8b3o4b
3o4b3o8b3o8b3o12bo4b3o3bo3bo3b3o4bo70boo21boo$20boo4b3o4boo13b3o8boo
17boo75b3o14b3o8b3o8b3o4b3o4b3o8b3o8b3o17bo3boo5boo3bo76boo19boo$27bo
18booboo5b3o21b3o89boo8bo3bo8boo3booboo3boo8bo3bo8boo16bo17bo11bo63b6o
11b6o$24boo3boo16b3o7boo10bo10boo90b3ob5obo3bob5ob3o4b3o4b3ob5obo3bob
5ob3o15bo19bo8bo3bo60boob4o11b4oboo$20bo3bo5bo3bo12b3o8bo9b3o9bo92b3o
6bo3bo6b3o5b3o5b3o6bo3bo6b3o20boo9boo11bo65boobobo13boboboo$20bobbo7bo
bbo12bobo6bobbo3b3obo3bob3o3bobbo92boo5b5o5boo17boo5b5o5boo18bo3bo11bo
3bo7bo4bo61boboo15boobo$20bobo9bobo13bo6boboboobobbobo3bobobboboobobo
92bo4bobbobbo4bo19bo4bobbobbo4bo20bobbo11bobbo8b5o62bo4boo9boo4bo$19bo
bo11bobo11b3o5bo13bo13bo93bobbo7bobbo21bobbo7bobbo25bo9bo80bo4bo9bo4bo
$20boobo7boboo11bo3bo3bo3bo4booboo3booboo4bo3bo88bo4bobo7bobo4bo5b3o5b
o4bobo7bobo4bo19boo11boo79bo4bo7bo4bo$21boboo5boobo11bo5bo3bobbo3bo3bo
bobobo3bo3bobbo89bobo17bobo13bobo17bobo115b5o5b5o$24bo5bo25bobbo7bo3bo
7bobbo90bobooboo9booboobo13bobooboo9booboobo115b3obo5bob3o$22b3o5b3o
13booboo9boo15boo98bobbo7bobbo21bobbo7bobbo118boobb3o3b3obboo$21b5o3b
5o14bo124bo21bo13bo21bo114bo15bo$20b3obo5bob3o27b3o9b3o96b3o3bo9bo3b3o
13b3o3bo9bo3b3o34boo79bo13bo$20boo11boo10bo16bo13bo73bobo21bo19bo15bo
19bo34boob3o$21booboo3booboo10bobo17bo9bo75boo23bobbo11bobbo17bobbo11b
obbo36b5o$22boo7boo11boo16bobo9bobo74bo22bo3bo11bo3bo7bo7bo3bo11bo3bo
36b3o$20b3o9b3o22bo5bo11bo98bo3bo11bo3bo7bo7bo3bo11bo3bo$18booboo9boob
oo18bobo121boo7boo12bo12boo7boo$19bo15bo20boo117bo5bo5bo5bo17bo5bo5bo
5bo$17boboobboo5boobboobo11bo126bo3boo5boo3bo19bo3boo5boo3bo$16bobbo3b
oo5boo3bobbo9bobo126b3o9b3o21b3o9b3o$17boo3bobbo3bobbo3boo10bobo204b5o
$17boobobo9boboboo11bo132booboo31booboo32bo4bo$22boo7boo11boo135bo5bo
29bo5bo31bo$19bo15bo8boo210bo3bo$18boobbo9bobboo164b3o54bo$23bo7bo148b
3o9b3o$18bo4boo5boo4bo108bo33bo3bo7bo3bo$19bo3boo5boo3bo13bo95bobo30bo
bo3bo5bo3bobo$19bobboo7boobbo12bobo94boo31bo3boo7boo3bo49b3o$23boboob
oobo16bobo10bo116b3o3bo5bo3b3o48b5o$15boo8booboo8boo9bo12boo113bo3boob
3ob3oboo3bo46boob3o$14boobo4bo3bobo3bo4boboo3boo15boo114boobbo3booboo
3bobboo47boo$14bobbo6b3ob3o6bobbo3boo130b3o3b5ob5o3b3o3bo$13b4obb3obb
oo3boobb3obb4o142bo5bo11bo$14boo3b3o11b3o3boo140bo11bo6bobo$14b3o21b3o
135bo4bo11bo4bo$18b4o11b4o12bo126bo4b4o5b4o4bo38bo$19bobbo9bobbo12bobo
129bo4bo3bo4bo40bo3bo$18bobo13bobo11bobo128boob3o5b3oboo38bo$16bo21bo
10bo129boobo3bobo3boboo38bo4bo$16bo21bo5boo95bo33b3o7booboo7b3o34b5o$
15bo23bo4boo93boo33bo3boo4bobobobo4boo3bo$16bo21bo101boo31bo3bo19bo3bo
$14booboo17booboo26bo105bo9b3o3b3o9bo$14bobboo8bo8boobbo27bo108bo6boo
3boo6bo$14bo3bo7bobo7bo3bo8bo16b3o103bo12bo3bo12bo$14bo10bo3bo10bo7bob
o121bobboo5bo9bo5boobbo$14bo3bob3obooboboob3obo3bo7bobo122boo8bo7bo8b
oo22boo$19b4obbooboobb4o13bo127bo6bo5bo6bo25boob3o$15bo5boobbobobobboo
5bo137boo17boo26b5o$19bo4booboboo4bo142bo17bo28b3o$18b3o3booboboo3b3o
150bo$20bob3o5b3obo140b3o8bobo8b3o$17bo4bo9bo4bo136bo6b3obo3bob3o6bo$
15boob4o11b4oboo9bo85bo38boo5bob3o3b3obo5boo$18b5o9b5o11bobo83bo37bo7b
o13bo7bo$17bob4o9b4obo10bobo83b3o37b3oboboo11boobob3o12b5o$16bo21bo10b
o130boo11boo18bo4bo$16bobo17bobo32bobo98b3oboobbobbo7bobbobboob3o10bo$
16bo21bo33boo105bo4boo3boo4bo18bo3bo$17boo17boo34bo104bo19bo18bo$17boo
b3o9b3oboo141bobo11bobo$21bo11bo148bo9bo$22boo7boo16bo130bo13bo$22bobo
5bobo15bobo130bo11bo10b3o$19b6o5b6o12bobo152b5o$20b4o7b4o14bo152boob3o
$21bo11bo169boo$25bo3bo$25bo3bo99bobo$129boo$27bo7bo27bo7bo58bo$26b3o
5b3o12bo12b3o5b3o5bo116bo$25bobboo3boobbo10bobo10bobboo3boobbobbobo
114bo3bo$24boob9oboo9bobo9boob9oboobboo113bo$25boboo5boobo11bo11boboo
5boobo118bo4bo$24b3oboo3boob3o21b3oboo3boob3o117b5o$24b3o4bo4b3o21b3o
4bo4b3o$27bo7bo27bo7bo$24bobbo7bobbo21bobbo7bobbo$23bobo11bobo19bobo
11bobo$24boobo7boboo10bo10boobo7boboo$26boo7boo11bobo11boo7boo$27bo7bo
12bobo12bo7bo52bo57boo$26bobo5bobo12bo12bobo5bobo51bobo54boob3o$25bo3b
o3bo3bo23bo3bo3bo3bo50boo56b5o$25bobbo5bobbo23bobbo5bobbo8bo100b3o$25b
obboo3boobbo23bobboo3boobbo9boo$25booboo3booboo23booboo3booboo8boo$26b
o9bo25bo9bo$25bo11bo11bo11bo11bo$23bobo11bobo8bobo8bobo11bobo$22boobo
bbo5bobboboo7bobo7boobobbo5bobboboo94b5o$21bobo15bobo7bo7bobo15bobo93b
o4bo$20bo6boo5boo6bo13bo6boo5boo6bo92bo$21boobobobbo3bobboboboo15boobo
bobbo3bobboboboo94bo3bo$22bobobobo5bobobobo17bobobobo5bobobobo97bo$24b
3o9b3o21b3o9b3o45bo$23bobo11bobo19bobo11bobo42boo$22bo3bo9bo3bo8bo8bo
3bo9bo3bo42boo$22bo4bo7bo4bo7bobo7bo4bo7bo4bo11bo73b3o$28bo5bo13bobo
13bo5bo18bo71b5o$22b3obbo7bobb3o8bo8b3obbo7bobb3o10b3o70boob3o$27bo7bo
27bo7bo89boo$27bobo3bobo27bobo3bobo$25bobobooboobobo23bobobooboobobo$
18b4o3bo4bobo4bo3b4o9b4o3bo4bobo4bo3b4o$17bobboo6boo3boo6boobbo7bobboo
6boo3boo6boobbo$24bo4bo3bo4bo10bo10bo4bo3bo4bo78bo$17booboboboo11boobo
boboobbobobbooboboboo11booboboboo69bo3bo$19bo23bo4bobo4bo23bo70bo$21b
4obo9bob4o7bo7b4obo9bob4o36bo35bo4bo$23bobbo9bobbo19bobbo9bobbo37bo36b
5o$25bo11bo23bo11bo39b3o$21bobo15bobo15bobo15bobo$19boo21boo11boo21boo
12bobo$93boo$19bobo19bobo5bo5bobo19bobo13bo$18bobbo19bobbo3bobo3bobbo
19bobbo$18bobbo19bobbo3bobo3bobbo19bobbo59boo$19b3o8b3o8b3o5bo5b3o8b3o
8b3o59boob3o$19b3o8b3o8b3o11b3o8b3o8b3o60b5o$19boo8bo3bo8boo11boo8bo3b
o8boo61b3o$19b3ob5obo3bob5ob3o11b3ob5obo3bob5ob3o$20b3o6bo3bo6b3o6bo6b
3o6bo3bo6b3o$22boo5b5o5boo8bo8boo5b5o5boo$23bo4bobbobbo4bo9bo9bo4bobbo
bbo4bo32bobo$24bobbo7bobbo21bobbo7bobbo33boo$20bo4bobo7bobo4bo13bo4bob
o7bobo4bo30bo19b5o$20bobo17bobo13bobo17bobo20bo29bo4bo$20bobooboo9boob
oobo13bobooboo9booboobo18bobo29bo$24bobbo7bobbo21bobbo7bobbo23boo30bo
3bo$20bo21bo13bo21bo53bo$20b3o3bo9bo3b3o13b3o3bo9bo3b3o$21bo19bo6b3o6b
o19bo$22bobbo11bobbo17bobbo11bobbo$21bo3bo11bo3bo15bo3bo11bo3bo42b3o$
21bo3bo11bo3bo15bo3bo11bo3bo41b5o$26boo7boo25boo7boo45boob3o$22bo5bo5b
o5bo17bo5bo5bo5bo42boo$23bo3boo5boo3bo19bo3boo5boo3bo27bo$24b3o9b3o21b
3o9b3o28bo$49bo$29booboo15bo15booboo$28bo5bo14bo14bo5bo31boboo5bo$103b
oo4bo3bo$108bo$27b3o9b3o66bo4bo$26bo3bo7bo3bo65b5o$25bobo3bo5bo3bobo
57bo$25bo3boo7boo3bo56boo$25b3o3bo5bo3b3o56bobo$24bo3boob3ob3oboo3bo3b
3o$24boobbo3booboo3bobboo50boo$23b3o3b5ob5o3b3o49bobo$31bo5bo57bo$28bo
11bo$23bo4bo11bo4bo44boo$23bo4b4o5b4o4bo43boo$27bo4bo3bo4bo49bo$26boob
3o5b3oboo$26boobo3bobo3boboo41b3o$22b3o7booboo7b3o37bo$21bo3boo4bobobo
bo4boo3bo37bo$20bo3bo19bo3bo31bo$20bo9b3o3b3o9bo30boo$24bo6boo3boo6bo
34bobo$19bo12bo3bo12bo$19bobboo5bo9bo5boobbo24boo$20boo8bo7bo8boo25bob
o$24bo6bo5bo6bo29bo$24boo17boo$25bo17bo25boo$34bo33boo$22b3o8bobo8b3o
23bo$21bo6b3obo3bob3o6bo$21boo5bob3o3b3obo5boo15b3o$19bo7bo13bo7bo13bo
$21b3oboboo11boobob3o16bo$27boo11boo17bo$19b3oboobbobbo7bobbobboob3o8b
oo$26bo4boo3boo4bo15bobo$24bo19bo$26bobo11bobo10boo$29bo9bo13bobo$27bo
13bo11bo$28bo11bo$48boo$47boo$49bo$$42b3o$42bo$43bo$38bo$37boo$37bobo
$$32boo$32bobo$32bo$$27boo$26boo$28bo$$21b3o$21bo$22bo$17bo$16boo$16bo
bo$$11boo$11bobo$11bo$$6boo$5boo$7bo$$3o$o$bo!

BCNU,
-dbell

[Gustone]

Speed-indifferent boat tagalong.

Code: Select all

x = 20, y = 122, rule = B3/S23
5b2o6b2o$bob2obo6bob2obo$obobo10bobobo$4obo8bob4o$bo3b2o2b2o2b2o3bo$bo
3b2obo2bob2o3bo$bo4b3o2b3o4bo$3bo3b2o2b2o3bo$b2o3bo6bo3b2o$6bo6bo$6bo
6bo$2bo4b2o2b2o4bo$b3o3b2o2b2o3b3o$b2ob3ob4ob3ob2o$2b3o3bo2bo3b3o$2bo
4bo4bo4bo$2bo14bo$4b2o8b2o$3bo12bo$2bo14bo$2bo14bo$2bob3o6b3obo$4bo10b
o$4bo3b4o3bo$4b2o8b2o$3bobo3b2o3bobo$3bo3b2o2b2o3bo$5b2o6b2o$3b2o10b2o
$2bo14bo$b2o14b2o2$4b3o6b3o$5bo8bo$2b2obo2bo2bo2bob2o$3bobobo4bobobo$b
o3bobo4bobo3bo$5bo3b2o3bo$3bo2b2o4b2o2bo$3bobobo4bobobo2$2bobo10bobo$
4bo10bo$3b2o10b2o$2bo14bo$2b4o8b4o$o4bo8bo4bo$obobo10bobobo$2bob2obo4b
ob2obo$5b2obo2bob2o$8bo2bo$8bo2bo$5bo2bo2bo2bo$5bob2o2b2obo2$4b2o3b2o
3b2o2$2bo2bo8bo2bo$2b2o12b2o$b2o14b2o$obo2b2o6b2o2bobo$2bo2b2o6b2o2bo$
7bo4bo$bob2o10b2obo$6bo6bo$2bo2b2o6b2o2bo$2bo14bo$7bo4bo$7b2o2b2o$4bo
3bo2bo3bo$4bo3bo2bo3bo$5bo2bo2bo2bo$3bo3bo4bo3bo$2b5o6b5o$b3ob2o6b2ob
3o$4b2o8b2o$4b2o8b2o$4b2o3b2o3b2o$8bo2bo$3bo2bo6bo2bo$3bobo3b2o3bobo$
5b2obo2bob2o$6b2o4b2o$3bob2o6b2obo$7b2o2b2o$6bo6bo$7bo4bo$6b2o4b2o$6bo
bo2bobo$9b2o$6b3o2b3o$6b2o4b2o$6b8o$7b6o$8b4o3$10bo$9bobo$10b2o2$12b2o
$12b2o$11bobo$11bo$10bobo$6b2o$4b2obo3bo$5b3obo$5b2o$7bo2b2o$7bob4o$6b
o5bo$5bo6bo$6bo4bo$8bob2o$9bo$9bobo$11b3o$11bobo$10b3o$11bobo!

[dbell]

I found a new orthogonal 3c/7 front end for a rake which is much faster than the period 770 front end used in my current adjustable rake.

The minimum possible period is reduced to just 280 as shown here.

Code: Select all

#C An orthogonal 3c/7 convoy turning a MWSS stream into blinkers.
#C The reaction is demonstrated with the minimum possible period of 280.
#C Each MWSS is perturbed by a pair of period 7 spaceships into a
#C blinker which is outside of the path of further MWSSes.  A third
#C period 7 spaceship converts each blinker into a forward glider.
#C The third spaceship can be delayed by a multiple of two generations.
#C However some delays will fail due to an incoming MWSS colliding
#C with the blinker-to-glider reaction.
#C David I. Bell, 23 October 2026
x = 139, y = 113, rule = B3/S23
40bo$37boo$36bo5bo$35boob3obbo$33boobob3obo$28bo4bo$26bobbobbo$25bo5b
4o$24bo4b4o$24bobbo$20boobbobo$20boo3boo$16b4obo$8bobo5b6o27boo8bobbo$
7bo3bo4bob3o25boo3bo10bo$6bo4bo3bobo27bo5bo5boobobo$3boobo7bobbo26bo5b
o5bobobo$boobobo29bobboo3bo5bo5bo3bobo$boobo7boobobo16b3o7bobobo3boobb
o5bobo$o4bo3bobboo17b3oboo8bo7boo5bo$b3obob4obbo16bobbo8boobo17bobo$b
3obob3obobo3boob3o6bobobo7b3o15b4o4bo$12boobo3b3o7bo4boobb3o16booboo3b
obbo$5boo5bobbo7boo4bobbobobo3boboo6bo6bo8bo$5booboo4booboo11bobo3bo3b
obo4bo3bo5boo3bo$31bobooboobbobobboboo3bo5bo4bo$5booboo4booboo15b3o4bo
bbobb3o7boo4bo$5boo5bobbo7boo9b3o6b3o10bo$12boobo3b3o33bo$b3obob3obobo
3boob3o11b3o6b3o10bo$b3obob4obbo20b3o4bobbobb3o7boo4bo$o4bo3bobboo17bo
booboobbobobboboo3bo5bo4bo$boobo7boobobo12bobo3bo3bobo4bo3bo5boo3bo$b
oobobo22bobbobobo3boboo6bo6bo8bo$3boobo7bobbo11bo4boobb3o16booboo3bobb
o$6bo4bo3bobo11bobobo7b3o15b4o4bo$7bo3bo4bob3o9bobbo8boobo17bobo$8bobo
5b6o9b3oboo8bo7boo5bo$16b4obo12b3o7bobobo3boobbo5bobo$20boo3boo9bobboo
3bo5bo5bo3bobo$20boobbobo17bo5bo5bobobo$24bobbo17bo5bo5boobobo$24bo4b
4o13boo3bo10bo$25bo5b4o14boo8bobbo$26bobbobbo$28bo4bo$33boobob3obo$35b
oob3obbo3b3o$36bo5bobb4obo$37boo6bobb3o3boo18boo18boo18boo18boo$40bo4b
3obbooboob3o14boob3o14boob3o14boob3o14boob3o$46bo3boobb5o15b5o15b5o15b
5o15b5o$55b3o17b3o17b3o17b3o17b3o9$64bo3boo$58bo4b3obboo$55boo6bobb3o$
54bo5bobb4obo$53boob3obbo3b3o$51boobob3obo$46bo4bo$44bobbobbo$43bo5b4o
$42bo4b4o$42bobbo$38boobbobo$38boo3boo$34b4obo$26bobo5b6o$25bo3bo4bob
3o$24bo4bo3bobo$21boobo7bobbo$19boobobo$19boobo7boobobo$18bo4bo3bobboo
$19b3obob4obbo$19b3obob3obobo3boob3o$30boobo3b3o$23boo5bobbo7boo$23boo
boo4booboo$$23booboo4booboo$23boo5bobbo7boo$30boobo3b3o$19b3obob3obobo
3boob3o$19b3obob4obbo$18bo4bo3bobboo$19boobo7boobobo$19boobobo$21boobo
7bobbo$24bo4bo3bobo$25bo3bo4bob3o$26bobo5b6o$34b4obo$38boo3boo$38boobb
obo$42bobbo$42bo4b4o$43bo5b4o$44bobbobbo$46bo4bo$51boobob3obo$53boob3o
bbo$54bo5bo$55boo$58bo!

At first glance, the fact that the the blinker-to-glider reaction intrudes slightly into the MWSS lanes limits the periods that can be used. For example, a period 399 stream does not work using the same convoy as in the period 280 one.

Code: Select all

#C A failed orthogonal 3c/7 convoy turning a MWSS stream into blinkers.
#C The reaction is shown attempting to use the period of 399.
x = 173, y = 113, rule = B3/S23
40bo$37boo$36bo5bo$35boob3obbo$33boobob3obo$28bo4bo$26bobbobbo$25bo5b
4o$24bo4b4o$24bobbo$20boobbobo$20boo3boo$16b4obo$8bobo5b6o27boo8bobbo$
7bo3bo4bob3o25boo3bo10bo$6bo4bo3bobo27bo5bo5boobobo$3boobo7bobbo26bo5b
o5bobobo$boobobo29bobboo3bo5bo5bo3bobo$boobo7boobobo16b3o7bobobo3boobb
o5bobo$o4bo3bobboo17b3oboo8bo7boo5bo$b3obob4obbo16bobbo8boobo17bobo$b
3obob3obobo3boob3o6bobobo7b3o15b4o4bo$12boobo3b3o7bo4boobb3o16booboo3b
obbo$5boo5bobbo7boo4bobbobobo3boboo6bo6bo8bo$5booboo4booboo11bobo3bo3b
obo4bo3bo5boo3bo$31bobooboobbobobboboo3bo5bo4bo$5booboo4booboo15b3o4bo
bbobb3o7boo4bo$5boo5bobbo7boo9b3o6b3o10bo$12boobo3b3o33bo$b3obob3obobo
3boob3o11b3o6b3o10bo$b3obob4obbo20b3o4bobbobb3o7boo4bo$o4bo3bobboo17bo
booboobbobobboboo3bo5bo4bo$boobo7boobobo12bobo3bo3bobo4bo3bo5boo3bo$b
oobobo22bobbobobo3boboo6bo6bo8bo$3boobo7bobbo11bo4boobb3o16booboo3bobb
o$6bo4bo3bobo11bobobo7b3o15b4o4bo$7bo3bo4bob3o9bobbo8boobo17bobo$8bobo
5b6o9b3oboo8bo7boo5bo$16b4obo12b3o7bobobo3boobbo5bobo$20boo3boo9bobboo
3bo5bo5bo3bobo$20boobbobo17bo5bo5bobobo$24bobbo17bo5bo5boobobo$24bo4b
4o13boo3bo10bo$25bo5b4o14boo8bobbo$26bobbobbo$28bo4bo$33boobob3obo$35b
oob3obbo3b3o92bo$36bo5bobb4obo61b3o25bo3bo$37boo6bobb3o3boo26b5o24b5o
23bo28boo$40bo4b3obbooboob3o23bo4bo22boob3o23bo4bo22boob3o$46bo3boobb
5o23bo28boo26b5o24b5o$55b3o25bo3bo81b3o$85bo8$64bo3boo$58bo4b3obboo$
55boo6bobb3o$54bo5bobb4obo$53boob3obbo3b3o$51boobob3obo$46bo4bo$44bobb
obbo$43bo5b4o$42bo4b4o$42bobbo$38boobbobo$38boo3boo$34b4obo$26bobo5b6o
$25bo3bo4bob3o$24bo4bo3bobo$21boobo7bobbo$19boobobo$19boobo7boobobo$
18bo4bo3bobboo$19b3obob4obbo$19b3obob3obobo3boob3o$30boobo3b3o$23boo5b
obbo7boo$23booboo4booboo$$23booboo4booboo$23boo5bobbo7boo$30boobo3b3o$
19b3obob3obobo3boob3o$19b3obob4obbo$18bo4bo3bobboo$19boobo7boobobo$19b
oobobo$21boobo7bobbo$24bo4bo3bobo$25bo3bo4bob3o$26bobo5b6o$34b4obo$38b
oo3boo$38boobbobo$42bobbo$42bo4b4o$43bo5b4o$44bobbobbo$46bo4bo$51boobo
b3obo$53boob3obbo$54bo5bo$55boo$58bo!

But since the third spaceship can be delayed, it can be repositioned to make the reaction work after all.

Code: Select all

#C An orthogonal 3c/7 convoy turning a MWSS stream into blinkers.
#C This reaction has a period of 399.
x = 173, y = 112, rule = B3/S23
40bo$37boo$36bo5bo$35boob3obbo$33boobob3obo$28bo4bo$26bobbobbo$25bo5b
4o$24bo4b4o$24bobbo$20boobbobo$20boo3boo$16b4obo$8bobo5b6o27boo8bobbo$
7bo3bo4bob3o25boo3bo10bo$6bo4bo3bobo27bo5bo5boobobo$3boobo7bobbo26bo5b
o5bobobo$boobobo29bobboo3bo5bo5bo3bobo$boobo7boobobo16b3o7bobobo3boobb
o5bobo$o4bo3bobboo17b3oboo8bo7boo5bo$b3obob4obbo16bobbo8boobo17bobo$b
3obob3obobo3boob3o6bobobo7b3o15b4o4bo$12boobo3b3o7bo4boobb3o16booboo3b
obbo$5boo5bobbo7boo4bobbobobo3boboo6bo6bo8bo$5booboo4booboo11bobo3bo3b
obo4bo3bo5boo3bo$31bobooboobbobobboboo3bo5bo4bo$5booboo4booboo15b3o4bo
bbobb3o7boo4bo$5boo5bobbo7boo9b3o6b3o10bo$12boobo3b3o33bo$b3obob3obobo
3boob3o11b3o6b3o10bo$b3obob4obbo20b3o4bobbobb3o7boo4bo$o4bo3bobboo17bo
booboobbobobboboo3bo5bo4bo$boobo7boobobo12bobo3bo3bobo4bo3bo5boo3bo$b
oobobo22bobbobobo3boboo6bo6bo8bo$3boobo7bobbo11bo4boobb3o16booboo3bobb
o$6bo4bo3bobo11bobobo7b3o15b4o4bo$7bo3bo4bob3o9bobbo8boobo17bobo$8bobo
5b6o9b3oboo8bo7boo5bo$16b4obo12b3o7bobobo3boobbo5bobo$20boo3boo9bobboo
3bo5bo5bo3bobo$20boobbobo17bo5bo5bobobo$24bobbo17bo5bo5boobobo$24bo4b
4o13boo3bo10bo$25bo5b4o14boo8bobbo$26bobbobbo$28bo4bo$33boobob3obo$35b
oob3obbo3b3o92bo$36bo5bobb4obo61b3o25bo3bo$37boo6bobb3o3boo26b5o24b5o
23bo28boo$40bo4b3obbooboob3o23bo4bo22boob3o23bo4bo22boob3o$46bo3boobb
5o23bo28boo26b5o24b5o$55b3o25bo3bo81b3o$85bo7$79boo$77boobbo$77bo3bo$
68boo6bobboo$67boboo$66booboobooboboo$65bo9bo$64boo6boo$64bobo$57boo3b
oo$56boboobbo$56bobboobobo$54bobbo$49boo6boobo$48bobo8bo$47bobbobbobo$
37bo9bo6bo$35bobb4o$35bo10boobo$34bo3bo6bobobo$32b5o6boboboo$32bo3bob
3obo5bo$32bo3bobob3o3boo3bo$33bo4bobob3o6boo$35booboo3boobbobbobboo$
36boboo5bo7bo$46b3o3bo$$46b3o3bo$36boboo5bo7bo$35booboo3boobbobbobboo$
33bo4bobob3o6boo$32bo3bobob3o3boo3bo$32bo3bob3obo5bo$32b5o6boboboo$34b
o3bo6bobobo$35bo10boobo$35bobb4o$37bo9bo6bo$47bobbobbobo$48bobo8bo$49b
oo6boobo$54bobbo$56bobboobobo$56boboobbo$57boo3boo$64bobo$64boo6boo$
65bo9bo$66boobooboobo$67boboo$68boo!

At high enough periods starting with period 413 no collisions are possible so that the exact same convoy as in the period 280 reaction can always be used.

Code: Select all

#C An orthogonal 3c/7 convoy turning a MWSS stream into blinkers.
#C This reaction has a period of 413 and has the exact same convoy
#C as in the period 280 case.  All higher periods which are multiples
#C of seven will also work using the same convoy.
x = 177, y = 113, rule = B3/S23
40bo$37boo$36bo5bo$35boob3obbo$33boobob3obo$28bo4bo$26bobbobbo$25bo5b
4o$24bo4b4o$24bobbo$20boobbobo$20boo3boo$16b4obo$8bobo5b6o27boo8bobbo$
7bo3bo4bob3o25boo3bo10bo$6bo4bo3bobo27bo5bo5boobobo$3boobo7bobbo26bo5b
o5bobobo$boobobo29bobboo3bo5bo5bo3bobo$boobo7boobobo16b3o7bobobo3boobb
o5bobo$o4bo3bobboo17b3oboo8bo7boo5bo$b3obob4obbo16bobbo8boobo17bobo$b
3obob3obobo3boob3o6bobobo7b3o15b4o4bo$12boobo3b3o7bo4boobb3o16booboo3b
obbo$5boo5bobbo7boo4bobbobobo3boboo6bo6bo8bo$5booboo4booboo11bobo3bo3b
obo4bo3bo5boo3bo$31bobooboobbobobboboo3bo5bo4bo$5booboo4booboo15b3o4bo
bbobb3o7boo4bo$5boo5bobbo7boo9b3o6b3o10bo$12boobo3b3o33bo$b3obob3obobo
3boob3o11b3o6b3o10bo$b3obob4obbo20b3o4bobbobb3o7boo4bo$o4bo3bobboo17bo
booboobbobobboboo3bo5bo4bo$boobo7boobobo12bobo3bo3bobo4bo3bo5boo3bo$b
oobobo22bobbobobo3boboo6bo6bo8bo$3boobo7bobbo11bo4boobb3o16booboo3bobb
o$6bo4bo3bobo11bobobo7b3o15b4o4bo$7bo3bo4bob3o9bobbo8boobo17bobo$8bobo
5b6o9b3oboo8bo7boo5bo$16b4obo12b3o7bobobo3boobbo5bobo$20boo3boo9bobboo
3bo5bo5bo3bobo$20boobbobo17bo5bo5bobobo$24bobbo17bo5bo5boobobo$24bo4b
4o13boo3bo10bo$25bo5b4o14boo8bobbo$26bobbobbo$28bo4bo$33boobob3obo$35b
oob3obbo3b3o36bo$36bo5bobb4obo33bo3bo25b3o$37boo6bobb3o3boo27bo29b5o
24b5o25boo$40bo4b3obbooboob3o24bo4bo23boob3o24bo4bo23boob3o$46bo3boobb
5o24b5o25boo27bo29b5o$55b3o85bo3bo25b3o$145bo8$64bo3boo$58bo4b3obboo$
55boo6bobb3o$54bo5bobb4obo$53boob3obbo3b3o$51boobob3obo$46bo4bo$44bobb
obbo$43bo5b4o$42bo4b4o$42bobbo$38boobbobo$38boo3boo$34b4obo$26bobo5b6o
$25bo3bo4bob3o$24bo4bo3bobo$21boobo7bobbo$19boobobo$19boobo7boobobo$
18bo4bo3bobboo$19b3obob4obbo$19b3obob3obobo3boob3o$30boobo3b3o$23boo5b
obbo7boo$23booboo4booboo$$23booboo4booboo$23boo5bobbo7boo$30boobo3b3o$
19b3obob3obobo3boob3o$19b3obob4obbo$18bo4bo3bobboo$19boobo7boobobo$19b
oobobo$21boobo7bobbo$24bo4bo3bobo$25bo3bo4bob3o$26bobo5b6o$34b4obo$38b
oo3boo$38boobbobo$42bobbo$42bo4b4o$43bo5b4o$44bobbobbo$46bo4bo$51boobo
b3obo$53boob3obbo$54bo5bo$55boo$58bo!

It might seem that there are a few cases to handle for the lowest periods to make an explicit rake for each period.

But that is not so! The following convoy can be used to pull out the blinker from the rest of the convoy so there there is no further problem using the new blinker.

Code: Select all

#C An orthogonal 3c/7 convoy to shift a blinker inwards.
#C This first converts the blinker into a forward glider, and then
#C converts the glider back into another blinker.
x = 89, y = 56, rule = B3/S23
37bo$37bo$37bo$$47bo$46boboo$45booboo$37bo7bobo$36boo7boo$34boobo3bob
3o4bo$33bo5bob3o$33bo6boo$33bobo$25boo4bo$24bobo3b3o14boo10bo$24bobbo
3boo13boboo4boobbobo$22booboboo16b3o6boobobbo$18bo4boob3o7b3o13bobobbo
bbo$17boo3boo10bob3o5b3o5b3obbobo$16boo4boo8boobbobo5boo6b3obo3bo$8bo
6boo4bo12bo7boo3bo8b3obobo21bo3bo$4b3obbo6bo13bobobobo5bobbobo9boo5bob
3obbob3o3bo3booboo$3b3obbo6boboo10booboboboboboo4bo11bo4b6o8bobo4bobo$
bbobbo7bobo14boo4bo8bo3boo8bobobobo5boo7bo$bobboo5b3oboo16boobobo3b4o
bb4o8bo5boob6o4bo$oobboboo3boo20boo3bobobbo5boboo14boboo$b3obboboobbob
oo17booboo4boobbo3b3o15bo6bo4boo$bbobobobobboobo3b3obbo20boo30b6o$3b4o
bbobboboo5bo$13boo4bobo22boo30b6o$6bobo6b3obbo12booboo4boobbo3b3o15bo
6bo4boo$33boo3bobobbo5boboo14boboo$6bobo6b3obbo12boobobo3b4obb4o8bo5b
oob6o4bo$13boo4bobo8boo4bo8bo3boo8bobobobo5boo7bo$3b4obbobboboo5bo7boo
boboboboboo4bo11bo4b6o8bobo4bobo$bbobobobobboobo3b3obbo6bobobobo5bobbo
bo9boo5bob3obbob3o3bo3booboo$b3obboboobboboo18bo7boo3bo8b3obobo21bo3bo
$oobboboo3boo19boobbobo5boo6b3obo3bo$bobboo5b3oboo17bob3o5b3o5b3obbobo
$bbobbo7bobo20b3o13bobobbobbo$3b3obbo6boboo26b3o6boobobbo$4b3obbo6bo
29boboo4boobbobo$8bo6boo4bo25boo10bo$16boo4boo$17boo3boo$18bo4boob3o$
22booboboo$24bobbo3boo$24bobo3b3o$25boo4bo$33bobo$33bo6boo$33bo5bob3o$
34boobo3bobo$36boo$37bo!

This convoy can be used in place of the single blinker-to-glider creating spaceship and shifted as necessary to avoid collisions.

The amazing fact is that the second blinker has the exact same timing and position for any period convoy, as demonstrated here.

Code: Select all

#C A comparison of orthogonal 3c/7 period 280 and period 399 reactions.
#C The final position of the first blinker created in both cases is
#C the same in both cases even though the lower spaceships are shifted.
x = 202, y = 269, rule = B3/S23
40bo$37boo$36bo5bo$35boob3obbo$33boobob3obo$28bo4bo$26bobbobbo$25bo5b
4o$24bo4b4o$24bobbo$20boobbobo$20boo3boo$16b4obo$8bobo5b6o27boo8bobbo$
7bo3bo4bob3o25boo3bo10bo$6bo4bo3bobo27bo5bo5boobobo$3boobo7bobbo26bo5b
o5bobobo$boobobo29bobboo3bo5bo5bo3bobo$boobo7boobobo16b3o7bobobo3boobb
o5bobo$o4bo3bobboo17b3oboo8bo7boo5bo$b3obob4obbo16bobbo8boobo17bobo$b
3obob3obobo3boob3o6bobobo7b3o15b4o4bo$12boobo3b3o7bo4boobb3o16booboo3b
obbo$5boo5bobbo7boo4bobbobobo3boboo6bo6bo8bo$5booboo4booboo11bobo3bo3b
obo4bo3bo5boo3bo$31bobooboobbobobboboo3bo5bo4bo$5booboo4booboo15b3o4bo
bbobb3o7boo4bo$5boo5bobbo7boo9b3o6b3o10bo$12boobo3b3o33bo$b3obob3obobo
3boob3o11b3o6b3o10bo$b3obob4obbo20b3o4bobbobb3o7boo4bo$o4bo3bobboo17bo
booboobbobobboboo3bo5bo4bo$boobo7boobobo12bobo3bo3bobo4bo3bo5boo3bo$b
oobobo22bobbobobo3boboo6bo6bo8bo$3boobo7bobbo11bo4boobb3o16booboo3bobb
o$6bo4bo3bobo11bobobo7b3o15b4o4bo$7bo3bo4bob3o9bobbo8boobo17bobo$8bobo
5b6o9b3oboo8bo7boo5bo$16b4obo12b3o7bobobo3boobbo5bobo$20boo3boo9bobboo
3bo5bo5bo3bobo$20boobbobo17bo5bo5bobobo$24bobbo17bo5bo5boobobo$24bo4b
4o13boo3bo10bo$25bo5b4o14boo8bobbo$26bobbobbo$28bo4bo$33boobob3obo$35b
oob3obbo3b3o$36bo5bobb4obo$37boo6bobb3o3boo18boo18boo18boo18boo18boo
18boo$40bo4b3obbooboob3o14boob3o14boob3o14boob3o14boob3o14boob3o14boob
3o$46bo3boobb5o15b5o15b5o15b5o15b5o15b5o15b5o$55b3o17b3o17b3o17b3o17b
3o17b3o17b3o9$64bo3boo$58bo4b3obboo$55boo6bobb3o$54bo5bobb4obo$53boob
3obbo3b3o$51boobob3obo$46bo4bo$44bobbobbo$43bo5b4o16bo$42bo4b4o14bo4bo
4bo$42bobbo18boo3boobb5o$38boobbobo18boo4boobboo3bo$38boo3boo10bo6boo
4bobobobo$34b4obo11b3obbo6bo6b3obo$26bobo5b6o10b3obbo6boboo5b3ob3obbob
o20bobo$25bo3bo4bob3o10bobbo7bobo12b3obbobo5boo3boo7bobbo$24bo4bo3bobo
12bobboo5b3oboo17b3o3b3obbo8b4o$21boobo7bobbo11boobboboo3boo16boob3ob
oobobo3boob3o$19boobobo23b3obboboobboboo13boo9bo4bobo7bo$19boobo7boobo
bo13bobobobobboobo3b3obbo12b3oboobo4boobobo$18bo4bo3bobboo18b4obbobbob
oo5bo10bo6bobobo3bobbo$19b3obob4obbo28boo4bobo24boobboo$19b3obob3obobo
3boob3o12bobo6b3obbo26b3o$30boobo3b3o$23boo5bobbo7boo10bobo6b3obbo26b
3o$23booboo4booboo23boo4bobo24boobboo$50b4obbobboboo5bo10bo6bobobo3bo
bbo$23booboo4booboo12bobobobobboobo3b3obbo12b3oboobo4boobobo$23boo5bo
bbo7boo5b3obboboobboboo13boo9bo4bobo7bo$30boobo3b3o7boobboboo3boo16boo
b3oboobobo3boob3o$19b3obob3obobo3boob3o7bobboo5b3oboo17b3o3b3obbo8b4o$
19b3obob4obbo17bobbo7bobo12b3obbobo5boo3boo7bobbo$18bo4bo3bobboo18b3o
bbo6boboo5b3ob3obbobo20bobo$19boobo7boobobo15b3obbo6bo6b3obo$19boobobo
30bo6boo4bobobobo$21boobo7bobbo27boo4boobboo3bo$24bo4bo3bobo28boo3boo
bb5o$25bo3bo4bob3o26bo4bo4bo$26bobo5b6o29bo$34b4obo$38boo3boo$38boobbo
bo$42bobbo$42bo4b4o$43bo5b4o$44bobbobbo$46bo4bo$51boobob3obo$53boob3o
bbo$54bo5bo$55boo$58bo45$40bo$37boo$36bo5bo$35boob3obbo$33boobob3obo$
28bo4bo$26bobbobbo$25bo5b4o$24bo4b4o$24bobbo$20boobbobo$20boo3boo$16b
4obo$8bobo5b6o27boo8bobbo$7bo3bo4bob3o25boo3bo10bo$6bo4bo3bobo27bo5bo
5boobobo$3boobo7bobbo26bo5bo5bobobo$boobobo29bobboo3bo5bo5bo3bobo$boob
o7boobobo16b3o7bobobo3boobbo5bobo$o4bo3bobboo17b3oboo8bo7boo5bo$b3obob
4obbo16bobbo8boobo17bobo$b3obob3obobo3boob3o6bobobo7b3o15b4o4bo$12boob
o3b3o7bo4boobb3o16booboo3bobbo$5boo5bobbo7boo4bobbobobo3boboo6bo6bo8bo
$5booboo4booboo11bobo3bo3bobo4bo3bo5boo3bo$31bobooboobbobobboboo3bo5bo
4bo$5booboo4booboo15b3o4bobbobb3o7boo4bo$5boo5bobbo7boo9b3o6b3o10bo$
12boobo3b3o33bo$b3obob3obobo3boob3o11b3o6b3o10bo$b3obob4obbo20b3o4bobb
obb3o7boo4bo$o4bo3bobboo17bobooboobbobobboboo3bo5bo4bo$boobo7boobobo
12bobo3bo3bobo4bo3bo5boo3bo$boobobo22bobbobobo3boboo6bo6bo8bo$3boobo7b
obbo11bo4boobb3o16booboo3bobbo$6bo4bo3bobo11bobobo7b3o15b4o4bo$7bo3bo
4bob3o9bobbo8boobo17bobo$8bobo5b6o9b3oboo8bo7boo5bo$16b4obo12b3o7bobob
o3boobbo5bobo$20boo3boo9bobboo3bo5bo5bo3bobo$20boobbobo17bo5bo5bobobo$
24bobbo17bo5bo5boobobo$24bo4b4o13boo3bo10bo$25bo5b4o14boo8bobbo$26bobb
obbo$28bo4bo$33boobob3obo$35boob3obbo3b3o92bo$36bo5bobb4obo61b3o25bo3b
o$37boo6bobb3o3boo26b5o24b5o23bo28boo26b5o$40bo4b3obbooboob3o23bo4bo
22boob3o23bo4bo22boob3o23bo4bo$46bo3boobb5o23bo28boo26b5o24b5o23bo$55b
3o25bo3bo81b3o25bo3bo$85bo113bo7$79boo$77boobbo$77bo3bo$68boo6bobboo$
67boboo$66booboobooboboo$65bo9bo$64boo6boo$64bobo$57boo3boo$56boboobbo
16b3o9bo$56bobboobobo12bo3bo4b3obobo$54bobbo11bo7b4o8booboo$49boo6boob
o6boobo5bobbo4bo4boboo$48bobo8bo5bo5bo4bobo4bo4b5o$47bobbobbobo9boobob
o13bobobo3boo$37bo9bo6bo8boobobbo4boobo7boboobobbo5bo6bo8b3obo$35bobb
4o19boo3bobbo4boo3bo8bo7bo3bo5bo3bo4booboo$35bo10boobo11bobbo3bo4bo3b
oo10b3obboo4bobboboo3b3obbooboo$34bo3bo6bobobo11b4obobobbob3oboobobbo
7booboo5bo8b3o$32b5o6boboboo15b3o4bobboobobbo3bo7bo5boobo3bo$32bo3bob
3obo5bo15bo3boboobo3bobbo17boo4b3o5bo$32bo3bobob3o3boo3bo13b3obo4boobo
4bobo15boo6b3obbo$33bo4bobob3o6boo22b3o5bo24b4obo$35booboo3boobbobbobb
oo$36boboo5bo7bo21b3o5bo24b4obo$46b3o3bo12b3obo4boobo4bobo15boo6b3obbo
$64bo3boboobo3bobbo17boo4b3o5bo$46b3o3bo11b3o4bobboobobbo3bo7bo5boobo
3bo$36boboo5bo7bo7b4obobobbob3oboobobbo7booboo5bo8b3o$35booboo3boobbo
bbobboo6bobbo3bo4bo3boo10b3obboo4bobboboo3b3obbooboo$33bo4bobob3o6boo
8boo3bobbo4boo3bo8bo7bo3bo5bo3bo4booboo$32bo3bobob3o3boo3bo11boobobbo
4boobo7boboobobbo5bo6bo8b3obo$32bo3bob3obo5bo16boobobo13bobobo3boo$32b
5o6boboboo16bo5bo4bobo4bo4b5o$34bo3bo6bobobo17boobo5bobbo4bo4boboo$35b
o10boobo19bo7b4o8booboo$35bobb4o35bo3bo4b3obobo$37bo9bo6bo24b3o9bo$47b
obbobbobo$48bobo8bo$49boo6boobo$54bobbo$56bobboobobo$56boboobbo$57boo
3boo$64bobo$64boo6boo$65bo9bo$66boobooboobo$67boboo$68boo!

This means that rakes for all possible periods 280 and above can use the same convoys and reactions, except for the simple positioning of the leading lower two spaceships.

Now building the new rakes will be a bit of work. A one-sided MWSS creating reaction will be necessary, for example.

I won't try to do this myself, but would love to see someone else build it.

BCNU,
-dbell

[dbell]

Here is an orthogonal 3c/7 period 154 rake.

Code: Select all

#C An orthogonal 3c/7 period 154 (2 * 7 * 11) backward glider rake.
#C This is based on a dirty puffer by Dylan Chen from 2021.
#C Removing the rear spaceship creates a double backward rake.
#C David I. Bell, 25 October 2026
x = 139, y = 211, rule = B3/S23
64b3o5b3o$63bo3bo3bo3bo$63boo3bobo3boo$63boboobbobboobo$67b5o$62boo5bo
5boo$63boo9boo$62booboo5booboo$63bo11bo$60booboboo5booboboo$64bo9bo$$
65boo5boo$64b3o5b3o$63b4o5b4o$63bo11bo$64bobbooboobbo$64b3o5b3o$65boo
5boo$61booboo7booboo$60bo3boo7boo3bo$59bo5bo7bo5bo$59boobobboo5boobbob
oo$59boobo3bo5bo3boboo$62bob3o5b3obo$61boboo9boobo$$61boo13boo$60b6o7b
6o$61bob3o7b3obo$60boo3bo7bo3boo$$65b3o3b3o$63b3obo3bob3o$57boo4bo4bob
o4bo4boo$55booboo5b3o3b3o5booboo$55boo5bo13bo5boo$56bob5o4bo3bo4b5obo$
58boobbo4bo3bo4bobboo$59boob3o9b3oboo$57bo5boo9boo5bo$62bo13bo$57bobbo
17bobbo$58bobo17bobo$58bo21bo$57b3o19b3o$56bobbo19bobbo$56bo25bo$57b3o
9bo9b3o$58bo9b3o9bo$67bo3bo$57boo3boo3bobobo3boo3boo$56bobooboob4obob
4obooboobo$61booboobb3obbooboo$63bobo7bobo$60bobb3o7b3obbo$59bo3boo9b
oo3bo$58b3o17b3o$57bobbobboo9boobbobbo$60bobboo9boobbo$57bo5boo9boo5bo
$58b6o11b6o$61boo13boo$62bo13bo$60b3o13b3o$59b4o13b4o$60boobbo9bobboo$
59bobbooboo5booboobbo$62b4o7b4o$61bo15bo$67bo3bo$65bobbobobbo$65bobo3b
obo$$69bo$67booboo$67booboo$66bobobobo$69bo$66bo5bo$67bobobo$67b5o$31b
o11bo20b3o5b3o20bo11bo$30b3o9b3o19boobb3obboo19b3o9b3o$29bobboo7boobbo
19bo3bo3bo19bobboo7boobbo$28bo3bobo5bobo3bo45bo3bobo5bobo3bo$27booboob
oo5boobooboo43boobooboo5boobooboo$27b4o3bo5bo3b4o19booboo19b4o3bo5bo3b
4o$27bo3b4obobob4o3bo43bo3b4obobob4o3bo$31bo11bo24bobo24bo11bo$26bobo
3boobbobobboo3bobo20bo20bobo3boobbobobboo3bobo$27bo4bobo5bobo4bo43bo4b
obo5bobo4bo$$30boobo7boboo22booboo22boobo7boboo$30b5o5b5o21boo3boo21b
5o5b5o$29boo4bo3bo4boo19bo3bo3bo19boo4bo3bo4boo$32b4o3b4o21bobbobobobb
o21b4o3b4o$26bob3obobobobobobob3obo16bo7bo16bob3obobobobobobob3obo$25b
3obbo5bobo5bobb3o16b7o16b3obbo5bobo5bobb3o$24boobbo7bobo7bobboo37boobb
o7bobo7bobboo$23boo3bo4bo7bo4bo3boo15bo3bo15boo3bo4bo7bo4bo3boo$33bobo
3bobo21b13o21bobo3bobo$33bobbobobbo20bobb9obbo20bobbobobbo$26bo7boo3b
oo7bo13bobo4bo4bobo13bo7boo3boo7bo$22boboo23boobo10bo11bo10boboo23boob
o$23b4o6bo7bo6b4o35b4o6bo7bo6b4o$27boo17boo43boo17boo$27boo17boo43boo
17boo$27boo17boo43boo17boo$26boo9bo9boo41boo9bo9boo$25boo5bo3b3o3bo5b
oo39boo5bo3b3o3bo5boo$24bo6bobobooboobobo6bo37bo6bobobooboobobo6bo$23b
3o4boobobo3boboboo4b3o35b3o4boobobo3boboboo4b3o$23bobbobboobobo5bobob
oobbobbo35bobbobboobobo5boboboobbobbo$25bo23bo39bo23bo$32bo9bo53bo9bo$
23bo5b3obbo5bobb3o5bo35bo5b3obbo5bobb3o5bo$23bobb3o5bo5bo5b3obbo35bobb
3o5bo5bo5b3obbo$28bobo13bobo45bobo13bobo$$30boo11boo49boo11boo$31bo11b
o51bo11bo4$64bo9bo$63bobo7bobo$19bo11bo32boo7boo32bo11bo$18bobo9bobo
73bobo9bobo$17booboo7booboo71booboo7booboo$17bo15bo71bo15bo$17b3obbo5b
obb3o71b3obbo5bobb3o$15bo7bo3bo7bo30bo5bo30bo7bo3bo7bo$16boobboobooboo
boobboo30b3o3b3o30boobbooboobooboobboo$16bobo4bo3bo4bobo23bo5bobbooboo
bbo5bo23bobo4bo3bo4bobo$13b3ob3obboo3boobb3ob3o19bobo4boo7boo4bobo19b
3ob3obboo3boobb3ob3o$13boob4ob3o3b3ob4oboo19boo4boo9boo4boo19boob4ob3o
3b3ob4oboo$14b4o4boo3boo4b4o27bo9bo27b4o4boo3boo4b4o$15bo5boo5boo5bo
29bo7bo29bo5boo5boo5bo$19bobbo5bobbo33bobo3bobo33bobbo5bobbo$18b3obo5b
ob3o28boboobbo3bobboobo28b3obo5bob3o$17bo5booboo5bo28bo13bo28bo5booboo
5bo$16b3obooboobooboob3o24bobbobbo7bobbobbo24b3obooboobooboob3o$13boob
oo15booboo22b5o9b5o22booboo15booboo$12boobooboob4ob4oboobooboo21bo17bo
21boobooboob4ob4oboobooboo$22boo3boo81boo3boo$13bo23bo25b3o7b3o25bo23b
o$10booboo6bo7bo6booboo57booboo6bo7bo6booboo$11boo8boo5boo8boo25bo7bo
25boo8boo5boo8boo$64booboobooboo$22b3ob3o35bobbooboobbo35b3ob3o$9bo31b
o23b3o3b3o23bo31bo$8b3o29b3o23bo5bo23b3o29b3o$7booboo27booboo51booboo
27booboo$6b3o33b3o20boo5boo20b3o33b3o$6boo35boo20boo5boo20boo35boo$6b
3o33b3o49b3o33b3o$8bo33bo53bo33bo$$7boo33boo51boo33boo$4boobo35boboo
45boobo35boboo$4bobbo35bobbo45bobbo35bobbo$6bo37bo49bo37bo$bboo43boo
41boo43boo$boboo41boobo39boboo41boobo$boboo41boobo39boboo41boobo$oo47b
oo37boo47boo$oobo43boboo37boobo11bo11bo19boboo$bb3o41b3o41b3o9b3o9b3o
17b3o$bb3o41b3o41b3o8bobboo7boobbo16b3o$100bo3bobo5bobo3bo$99boobooboo
5boobooboo$48boo39boo8b4o3bo5bo3b4o$48boboo35boobo8bo3b4obobob4o3bo$
50bo37bo14bo11bo$47boobbo35bobboo6bobo3boobbobobboo3bobo$47boo41boo7bo
4bobo5bobo4bo$49bobbo33bobbo$50boo35boo13boobo7boboo$102b5o5b5o$101boo
4bo3bo4boo$104b4o3b4o$98bob3obobobobobobob3obo$97b3obbo5bobo5bobb3o$
96boobbo7bobo7bobboo$95boo3bo4bo7bo4bo3boo$105bobo3bobo$105bobbobobbo$
98bo7boo3boo7bo$94boboo23boobo$94b4o7bo7bo7b4o$92boobo27boboo$91bobbo
29bobbo$91boobbo27bobboo$93b3o27b3o$94boo27boo$$92bo33bo$91b3o31b3o$
92boo31boo$88b3o37b3o$87bo43bo$87bobbo37bobbo$86bo45bo$85b3o43b3o$$88b
o41bo$56bo32bo39bo$55bo31b3o39b3o$55b3o30bo41bo$87boo41boo!

BCNU,
-dbell

[I6_I6]

Is Jason Summers' 4c/8 bi-block puffer optimal? I feel like it could be reduced with an asymmetric search or something.

[dbell]

This is a series of adjustable 3c/7 rakes based on a blinker fuse with three cell gaps between blinkers.

Code: Select all

#C An adjustable orthogonal 3c/7 period 32284+28N backward rake.
#C This uses a period 14 double blinker puffer by Dylan Chen with
#C one of its outputs suppressed to create a single blinker fuse.
#C When activated the fuse burns at a speed of 6c/13 with period 26.
#C When the burning reaches the front of the rake three spaceships
#C stop the burning while releasing a backwards glider.  The glider is
#C turned several times and finally duplicated by three convoys of
#C 3c/7 spaceships.  One of the duplicated gliders then impacts the
#C end of the newly growing blinker fuse to start it burning again,
#C with two more spaceships used to delete debris from the impact.
#C The rake shown here has a period of 32284.  Delaying the rear
#C three spaceships by 2N generations will increase the period by 28N.
#C David I. Bell, 22 October 2026
x = 297, y = 1244, rule = B3/S23
89b3o9b3o$89bobo9bobo$88bobbo9bobbo$88bob4o5b4obo$86boo4bobo3bobo4boo$
87b3oboobo3boboob3o$85bo8bo3bo8bo$85bobobboobo5boboobbobo$84bo3boo4bo
3bo4boo3bo$85bobo5bo5bo5bobo$86bo4b3o5b3o4bo$$90boobo5boboo$88booboobo
3bobooboo$88booboobooboobooboo$85boo8bobo8boo$83boo3bob6ob6obo3boo$84b
obo3boo9boo3bobo$82boboo3bo13bo3boobo$82bobo6b3o5b3o6bobo$82boo25boo$
94bo3bo$86bo4bo3bobo3bo4bo$85bobo4bobo3bobo4bobo$88bo15bo$83bo3bo17bo
3bo$83bo4bo15bo4bo$83bobb4o13b4obbo$84b3o3bo11bo3b3o$83boobobobo11bobo
boboo$82bobboo3boo9boo3boobbo$83b5o3boo7boo3b5o$84bobboo15boobbo$90boo
9boo$90boo9boo$89bo13bo$$92boo5boo$88bo3boo5boo3bo$89boo3bo3bo3boo$91b
oobo3boboo$$90bo11bo$93bo5bo$90boboo5boobo$88b3obbo5bobb3o$$94booboo$
94booboo$89b3obbooboobb3o$90boo3bobo3boo$90boobo5boboo$94booboo$$88b3o
11b3o$88b3o11b3o$88bo15bo$89boo11boo$88b3o11b3o4$89b4o7b4o$89b4o7b4o$
88bob4o5b4obo$94booboo$88boo4booboo4boo3$91bobbo3bobbo$92booboboboo$
95bobo$91bo9bo$90b3o7b3o$91boo7boo$89bo4booboo4bo$88bobbo9bobbo$87boob
o4bobo4boboo$88bo3bo7bo3bo$91bobbo3bobbo$87bobbooboo3booboobbo$90bobbo
5bobbo$87boobo3bo3bo3boboo$86b3obbobbo3bobbobb3o$86bo8bobo8bo$85b3o17b
3o$85b3o4boo5boo4b3o$86boo17boo$86boobo13boboo$86boobo13boboo$89bo13bo
$86b3o15b3o$87bo17bo$91bo9bo$92bo7bo$89bobboo5boobbo$89bobboo5boobbo$
90boboo5boobo$90bobo7bobo$$90bobo7bobo$90bobo3bo3bobo$56b3o9b3o20boob
oobooboo$56bobo9bobo23booboo$55bobbo9bobbo20bobbobobbo$55bob4o5b4obo
20b3o3b3o$53boo4bobo3bobo4boo18bobbobobbo$54b3oboobo3boboob3o$52bo8bo
3bo8bo16b4o3b4o$52bobobboobo5boboobbobo17bo7bo$51bo3boo4bo3bo4boo3bo$
52bobo5bo5bo5bobo17bo7bo$53bo4b3o5b3o4bo19b3ob3o$91bo3bobo3bo$57boobo
5boboo20bo11bo$55booboobo3bobooboo17boo4bobo4boo$55booboobooboobooboo
20b4ob4o$52boo8bobo8boo15b3obbobobb3o$50boo3bob6ob6obo3boo15b3o3b3o$
51bobo3boo9boo3bobo16b3o3b3o$49boboo3bo13bo3boobo$49bobo6b3o5b3o6bobo
15bo5bo$49boo25boo13bobbo3bobbo$61bo3bo25bo9bo$58bo3bobo3bo21boobbo3bo
bboo$59bobo3bobo22bobbo5bobbo$46b3o29b3o9bobo7bobo$46bobbo27bobbo9b3o
7b3o$45bo4bo25bo4bo$44boo35boo8bo9bo$45bobobbo25bobbobo8bobo7bobo$90bo
bo7bobo$45bobbo29bobbo9bo9bo$45bobbo29bobbo$43bobo35bobo$42b3o37b3o$
44bo37bo$40bo45bo$39boboo41boobo$39bobo43bobobb3o7b3o21bo11bo$38boo47b
oo34b3o9b3o$39bo47bo37bo9bo$40b3o41b3o34boboo11boobo$41bo43bo35bo4b3o
3b3o4bo$120bob3ob3o3b3ob3obo$100b3o$119b3ob4obo3bob4ob3o$75bo11bo31boo
7bo3bo7boo$74b3o9b3o30b3obboboo5boobobb3o$76bo9bo$72boboo11boobo33bobb
o5bobbo$72bo4b3o3b3o4bo9b3o21bo11bo$71bob3ob3o3b3ob3obo30boobbobo3bobo
bboo$122bo3b3o3b3o3bo$70b3ob4obo3bob4ob3o27boo4bobbobobbo4boo$70boo7bo
3bo7boo25bobooboboobbobobbooboboobo$70b3obboboo5boobobb3o24boobo3bo3bo
3bo3bo3boboo$100b3o13bobo3boo13boo3bobo$75bobbo5bobbo28boo8bo7bo8boo$
75bo11bo29bo7b3o5b3o7bo$73boobbobo3bobobboo35boobo3boboo$73bo3b3o3b3o
3bo36b3o3b3o$71boo4bobbobobbo4boo26boo7boo3boo7boo$69bobooboboobbobobb
ooboboobo6b3o11bo31bo$68boobo3bo3bo3bo3bo3boboo18b3o29b3o$67bobo3boo
13boo3bobo16bobboo27boobbo$67boo8bo7bo8boo16bo3boo25boo3bo$68bo7b3o5b
3o7bo17boboboo25boobobo$76boobo3boboo26b3o29b3o$77b3o3b3o14b3o11boo29b
oo$70bo7boo3boo7bo19boo33boo$68b4o19b4o17bobo31bobo$68boobbo17bobboo
14b3o37b3o$69bo23bo15bo41bo$81bo25boobo39boboo$69bobo8b3o8bobo6b3o4boo
43boo$68boobo3booboobobooboo3boboo11bo47bo$71bobboobobo3boboboobbo14bo
bo43bobo$66booboobbo5booboo5bobbooboo9bobo43bobo$68bo4b3o3bo3bo3b3o4bo
12b3o41b3o$73bo3boo5boo3bo10b3o$72bo17bo9bobo$71bo19bo8b3o5bo43bo$75b
oo9boo$71bo3bo11bo3bo$72bobbo11bobbo$76bo9bo$74boo11boo31b3o9b3o$120bo
bbo7bobbo$119boo13boo$117boobo3bo5bo3boboo$120b3oboo3boob3o$116bo21bo$
117bobob5o3b5obobo$117bo3bobboo3boobbo3bo$117bo3b3o7b3o3bo$117bo4bo9bo
4bo$121b3o7b3o$120bobboo5boobbo$123boo5boo$119boo4bo3bo4boo$118bo3bo3b
obo3bo3bo$115boob3obobobobobobob3oboo$114bo5boo4bobo4boo5bo$113bo4boo
15boo4bo$113b3o8bo5bo8b3o$122boo7boo$123bobbobobbo$115bo8boo3boo8bo$
124bo5bo$113bobboo19boobbo$114boobbo17bobboo$116bobbo15bobbo$$115bobbo
7b3o7bobbo$115b3o4bobbo3bobbo4b3o$113bobbo3boobobo3boboboo3bobbo$113bo
bo3bo3bobooboobo3bo3bobo$113bobbobboob3o5b3oboobbobbo$121bobo7bobo$
120boo11boo$117b5obo7bob5o$117boobbo11bobboo$118boo15boo$119b3o11b3o$
120boo11boo$120boo11boo171$61bo11bo$59booboo7booboo$59booboo7booboo$
58bo3boo7boo3bo$58b3o13b3o$61b3obooboob3o$57b3o5booboo5b3o$56bo5boo7b
oo5bo$9bo11bo33bo6boobbobobboo6bo$8b3o9b3o38b3obbobobb3o$10bo9bo34bo6b
o9bo6bo$6boboo11boobo31boo5bo7bo5boo$6bo4b3o3b3o4bo35boobboo3boobboo$
5bob3ob3o3b3ob3obo34b5o5b5o$58bo7bobo7bo$4b3ob4obo3bob4ob3o30bobbo3b3o
b3o3bobbo$4boo7bo3bo7boo27b3o21b3o$4b3obboboo5boobobb3o27booboobobbobb
obobbobbobooboo$54b3o6bobbobobbo6b3o$9bobbo5bobbo32b3o7bo5bo7b3o$9bo
11bo30booboo6boo5boo6booboo$7boobbobo3bobobboo28b4o7boo5boo7b4o$7bo3b
3o3b3o3bo39bo7bo$5boo4bobbobobbo4boo39bo3bo$3bobooboboobbobobbooboboob
o22b3o12bo3bo12b3o$bboobo3bo3bo3bo3bo3boboo20bo3bo27bo3bo$bobo3boo13b
oo3bobo18bo3boo27boo3bo$boo8bo7bo8boo21bo31bo$bbo7b3o5b3o7bo18bo39bo$
10boobo3boboo27bobo33bobo$11b3o3b3o30bo33bo$4bo7boo3boo7bo22boo33boo$
bb4o19b4o19b3o33b3o$bboobbo17bobboo17boobo35boboo$3bo23bo18bobbo35bobb
o$15bo29bo43bo$3bobo8b3o8bobo16b3o41b3o$bboobo3booboobobooboo3boboo14b
o47bo$5bobboobobo3boboboobbo17boboo41boobo$ooboobbo5booboo5bobbooboo
14boo41boo$bbo4b3o3bo3bo3b3o4bo13bobboo41boobbo$7bo3boo5boo3bo$6bo17bo
19bobo41bobo$5bo19bo19bo43bo$9boo9boo$5bo3bo11bo3bo16b3o$6bobbo11bobbo
16boobo$10bo9bo21boboo$8boo11boo20b3o$43bobo$41b4o$41boo325$183b3o9b3o
$182bo3bo7bo3bo$181bobo3bo5bo3bobo$181bo3boo7boo3bo$134bo11bo34b3o3bo
5bo3b3o$132booboo7booboo31bo3boob3ob3oboo3bo$132booboo7booboo31boobbo
3booboo3bobboo$131bo3boo7boo3bo29b3o3b5ob5o3b3o$131b3o13b3o37bo5bo$
134b3obooboob3o37bo11bo$130b3o5booboo5b3o28bo4bo11bo4bo$129bo5boo7boo
5bo27bo4b4o5b4o4bo$128bo6boobbobobboo6bo30bo4bo3bo4bo$134b3obbobobb3o
35boob3o5b3oboo$128bo6bo9bo6bo29boobo3bobo3boboo$129boo5bo7bo5boo26b3o
7booboo7b3o$133boobboo3boobboo29bo3boo4bobobobo4boo3bo$133b5o5b5o28bo
3bo19bo3bo$131bo7bobo7bo26bo9b3o3b3o9bo$130bobbo3b3ob3o3bobbo29bo6boo
3boo6bo$127b3o21b3o21bo12bo3bo12bo$127booboobobbobbobobbobbobooboo21bo
bboo5bo9bo5boobbo$127b3o6bobbobobbo6b3o22boo8bo7bo8boo$127b3o7bo5bo7b
3o26bo6bo5bo6bo$125booboo6boo5boo6booboo24boo17boo$125b4o7boo5boo7b4o
25bo17bo$136bo7bo45bo$138bo3bo35b3o8bobo8b3o$123b3o12bo3bo12b3o19bo6b
3obo3bob3o6bo$122bo3bo27bo3bo18boo5bob3o3b3obo5boo$121bo3boo27boo3bo
15bo7bo13bo7bo$124bo31bo20b3oboboo11boobob3o$120bo39bo22boo11boo$121bo
bo33bobo15b3oboobbobbo7bobbobboob3o$123bo33bo24bo4boo3boo4bo$122boo33b
oo21bo19bo$121b3o33b3o22bobo11bobo$119boobo35boboo23bo9bo$119bobbo35bo
bbo21bo13bo$118bo43bo21bo11bo$117b3o41b3o$116bo47bo$116boboo41boobo$
118boo41boo$115bobboo41boobbo$$117bobo41bobo$118bo43bo$$132bo11bo$130b
ooboo7booboo$130booboo7booboo$129bo3boo7boo3bo$129b3o13b3o$132b3oboob
oob3o$128b3o5booboo5b3o$127bo5boo7boo5bo$126bo6boobbobobboo6bo$132b3o
bbobobb3o$126bo6bo9bo6bo$127boo5bo7bo5boo$131boobboo3boobboo$131b5o5b
5o$129bo7bobo7bo$128bobbo3b3ob3o3bobbo$125b3o21b3o$125booboobobbobbobo
bbobbobooboo$125b3o6bobbobobbo6b3o$125b3o7bo5bo7b3o$123booboo6boo5boo
6booboo$123b4o7boo5boo7b4o$134bo7bo$136bo3bo$121b3o12bo3bo12b3o$120bo
3bo27bo3bo$119bo3boo27boo3bo$122bo31bo$118bo39bo$119bobo6b3o9b3o12bobo
$121bo6bobbo7bobbo12bo$120boo5boo13boo11boo$119b3o3boobo3bo5bo3boboo9b
3o$117boobo7b3oboo3boob3o13boboo$117bobbo3bo21bo9bobbo$116bo8bobob5o3b
5obobo14bo$115b3o7bo3bobboo3boobbo3bo13b3o$114bo10bo3b3o7b3o3bo16bo$
114boboo7bo4bo9bo4bo13boobo$116boo11b3o7b3o17boo$113bobboo10bobboo5boo
bbo16boobbo$131boo5boo$115bobo9boo4bo3bo4boo15bobo$116bo9bo3bo3bobo3bo
3bo15bo$123boob3obobobobobobob3oboo$122bo5boo4bobo4boo5bo$121bo4boo15b
oo4bo$121b3o8bo5bo8b3o$130boo7boo$131bobbobobbo$123bo8boo3boo8bo$120bo
3bo7bo5bo7bo3bo$123bo23bo$118boo31boo$117bobboo27boobbo$117boobbo27bo
bboo$118boobbo25bobboo$119bobo27bobo$$117b3o31b3o$117bo35bo$115boobbo
31bobboo$114boo39boo$113bobbo37bobbo$112boo43boo$111bo47bo105b3o9b3o$
111b3o43b3o105bobbo7bobbo$112boo43boo105boo13boo$262boobo3bo5bo3boboo$
113bobo39bobo107b3oboo3boob3o$113bobo39bobo103bo21bo$262bobob5o3b5obob
o$113boo41boo104bo3bobboo3boobbo3bo$159bo102bo3b3o7b3o3bo$157bobboo
100bo4bo9bo4bo$157bo3bo104b3o7b3o$159bobbo102bobboo5boobbo$159bobbo
105boo5boo$141bo11bo6boo102boo4bo3bo4boo$140b3o9b3o108bo3bo3bobo3bo3bo
$142bo9bo107boob3obobobobobobob3oboo$138boboo11boobo102bo5boo4bobo4boo
5bo$138bo4b3o3b3o4bo101bo4boo15boo4bo$137bob3ob3o3b3ob3obo100b3o8bo5bo
8b3o$267boo7boo$136b3ob4obo3bob4ob3o109bobbobobbo$136boo7bo3bo7boo101b
o8boo3boo8bo$136b3obboboo5boobobb3o98bo3bo7bo5bo7bo3bo$260bo23bo$141bo
bbo5bobbo101boo31boo$141bo11bo100bobboo27boobbo$139boobbobo3bobobboo
98boobbo27bobboo$139bo3b3o3b3o3bo99boobbo25bobboo$137boo4bobbobobbo4b
oo98bobo27bobo$135bobooboboobbobobbooboboobo$134boobo3bo3bo3bo3bo3bob
oo93b3o31b3o$133bobo3boo13boo3bobo92bo35bo$133boo8bo7bo8boo90boobbo31b
obboo$134bo7b3o5b3o7bo90boo39boo$142boobo3boboo97bobbo37bobbo$143b3o3b
3o97boo43boo$135boo7boo3boo7boo88bo47bo$131bo31bo84b3o43b3o$130b3o29b
3o84boo43boo$129bobboo27boobbo$129bo3boo25boo3bo84bobo39bobo$129bobob
oo25boobobo84bobo21b3o9b3o3bobo$130b3o29b3o108bo3bo7bo3bo$131boo29boo
86boo20bobo3bo5bo3bobobboo$129boo33boo106bo3boo7boo3bo$129bobo31bobo
106b3o3bo5bo3b3o$126b3o37b3o102bo3boob3ob3oboo3bo$126bo41bo102boobbo3b
ooboo3bobboo$124boobo39boboo99b3o3b5ob5o3b3o$124boo43boo107bo5bo$123bo
47bo103bo11bo$123bobo43bobo98bo4bo11bo4bo$123bobo43bobo98bo4b4o5b4o4bo
$124b3o41b3o103bo4bo3bo4bo$273boob3o5b3oboo$273boobo3bobo3boboo$125bo
43bo99b3o7booboo7b3o$268bo3boo4bobobobo4boo3bo$168b3obo94bo3bo19bo3bo$
170boboo93bo9b3o3b3o9bo$170bobboo96bo6boo3boo6bo$170bob3o91bo12bo3bo
12bo$171bobbo91bobboo5bo9bo5boobbo$172boo93boo8bo7bo8boo$271bo6bo5bo6b
o$271boo17boo$272bo17bo$281bo$269b3o8bobo8b3o$268bo6b3obo3bob3o6bo$
268boo5bob3o3b3obo5boo$266bo7bo13bo7bo$268b3oboboo11boobob3o$274boo11b
oo$266b3oboobbobbo7bobbobboob3o$273bo4boo3boo4bo$271bo19bo$273bobo11bo
bo$225b3o9b3o36bo9bo$225bobbo7bobbo34bo13bo$224boo13boo34bo11bo$222boo
bo3bo5bo3boboo$225b3oboo3boob3o$221bo21bo$222bobob5o3b5obobo$222bo3bo
bboo3boobbo3bo$222bo3b3o7b3o3bo$222bo4bo9bo4bo$226b3o7b3o$225bobboo5b
oobbo$228boo5boo$224boo4bo3bo4boo$223bo3bo3bobo3bo3bo$220boob3obobobob
obobob3oboo$219bo5boo4bobo4boo5bo$218bo4boo15boo4bo$218b3o8bo5bo8b3o$
227boo7boo$228bobbobobbo$220bo8boo3boo8bo$229bo5bo$218bobboo19boobbo$
219boobbo17bobboo$221bobbo15bobbo$$220bobbo7b3o7bobbo$220b3o4bobbo3bo
bbo4b3o$218bobbo3boobobo3boboboo3bobbo$218bobo3bo3bobooboobo3bo3bobo$
218bobbobboob3o5b3oboobbobbo$226bobo7bobo$225boo11boo$222b5obo7bob5o$
222boobbo11bobboo$223boo15boo$224b3o11b3o$225boo11boo$219b3o3boo4b3o4b
oo$219bobo9bobo$218bobbo9bobbo$218bob4o5b4obo$216boo4bobo3bobo4boo$
217b3oboobo3boboob3o$215bo8bo3bo8bo$215bobobboobo5boboobbobo$214bo3boo
4bo3bo4boo3bo$215bobo5bo5bo5bobo$216bo4b3o5b3o4bo$$220boobo5boboo$218b
ooboobo3bobooboo$218booboobooboobooboo$215boo8bobo8boo$213boo3bob6ob6o
bo3boo$214bobo3boo9boo3bobo$212boboo3bo13bo3boobo$212bobo6b3o5b3o6bobo
$212boo25boo$224bo3bo$221bo3bobo3bo$222bobo3bobo$209b3o29b3o$209bobbo
27bobbo$208bo4bo25bo4bo$207boo35boo$208bobobbo25bobbobo$$208bobbo29bo
bbo$208bobbo29bobbo$206bobo35bobo$205b3o37b3o$207bo37bo$203bo45bo$202b
oboo41boobo$202bobo43bobo$201boo47boo$202bo47bo$203b3o41b3o$204bo43bo
3$247bobo$248booboo$249bobobo$248boo$249bobobbo$250bobbo$251boo90$62b
3o9b3o$62bobo9bobo$61bobbo9bobbo$61bob4o5b4obo$59boo4bobo3bobo4boo$60b
3oboobo3boboob3o$58bo8bo3bo8bo$58bobobboobo5boboobbobo$57bo3boo4bo3bo
4boo3bo$58bobo5bo5bo5bobo$59bo4b3o5b3o4bo$$63boobo5boboo$61booboobo3bo
booboo$61booboobooboobooboo$58boo8bobo8boo$56boo3bob6ob6obo3boo$57bobo
3boo9boo3bobo$55boboo3bo13bo3boobo$55bobo6b3o5b3o6bobo$55boo25boo$67bo
3bo$64bo3bobo3bo$65bobo3bobo$52b3o29b3o$52bobbo27bobbo$51bo4bo25bo4bo$
50boo35boo$51bobobbo25bobbobo$$51bobbo29bobbo$51bobbo29bobbo$49bobo35b
obo$48b3o37b3o$50bo37bo$46bo45bo$45boboo41boobo$45bobo43bobo$44boo47b
oo$45bo47bo$46b3o41b3o$47bo43bo7$118bo11bo$116booboo7booboo$116booboo
7booboo$115bo3boo7boo3bo$115b3o13b3o$118b3obooboob3o$114b3o5booboo5b3o
$113bo5boo7boo5bo$112bo6boobbobobboo6bo$118b3obbobobb3o$112bo6bo9bo6bo
$113boo5bo7bo5boo$117boobboo3boobboo$117b5o5b5o$115bo7bobo7bo$114bobbo
3b3ob3o3bobbo$111b3o21b3o$111booboobobbobbobobbobbobooboo$111b3o6bobbo
bobbo6b3o$111b3o7bo5bo7b3o$109booboo6boo5boo6booboo$109b4o7boo5boo7b4o
$120bo7bo$122bo3bo$107b3o12bo3bo12b3o$106bo3bo27bo3bo$105bo3boo27boo3b
o$108bo31bo$104bo39bo$105bobo33bobo$107bo33bo$106boo33boo$105b3o33b3o$
103boobo35boboo$103bobbo35bobbo$102bo43bo$101b3o41b3o$100bo47bo$100bob
oo41boobo$102boo41boo$99bobboo41boobbo$$101bobo41bobo$102bo43bo$$99b3o
$98boobo$99boboo$100b3o$100bobo$98b4o$98boo!

(Delaying the spaceships by two generations is easily done by first shifting them backwards by three cells and then advancing them by five generations.)

These periods are already covered by the period 770+7N adjustable rake. But the mechanism is nice to see working, and the adjustments to the period are very simple.

BCNU,
-dbell

[dbell]

Here are several rakes built by perturbing the orthogonal 3c/7 period 14 double blinker puffer.

Code: Select all

#C An orthogonal 3c/7 period 28 backward glider rake.
#C This uses a period 14 double blinker puffer by Dylan Chen.
#C One spaceship perturbs its output to create a period 28 block puffer.
#C A second spaceship deletes the unwanted blocks.  A third spaceship
#C perturbs the smoke from the reaction to become the output gliders.
#C David I. Bell, 27 October 2026
x = 111, y = 184, rule = B3/S23
35b3o9b3o$34bo3bo7bo3bo$33bobo3bo5bo3bobo$33bo3boo7boo3bo$33b3o3bo5bo
3b3o$32bo3boob3ob3oboo3bo$32boobbo3booboo3bobboo$31b3o3b5ob5o3b3o$39bo
5bo$36bo11bo$31bo4bo11bo4bo$31bo4b4o5b4o4bo$35bo4bo3bo4bo$34boob3o5b3o
boo$34boobo3bobo3boboo$30b3o7booboo7b3o$29bo3boo4bobobobo4boo3bo$28bo
3bo19bo3bo$28bo9b3o3b3o9bo$32bo6boo3boo6bo$27bo12bo3bo12bo$27bobboo5bo
9bo5boobbo$28boo8bo7bo8boo$32boo5bo5bo5boo$32boo17boo$30bo23bo$28boob
oo19booboo$33bo17bo$28bo4boobo11boboo4bo$29boo3boboo9boobo3boo$37bo9bo
$28bobo6b3o5b3o6bobo$33boobb3o5b3obboo$28bobobboobboo7boobboobbobo$34b
obboo7boobbo$36boo9boo$36bo11bo$37boo7boo$36boobo5boboo$37bobbo3bobbo$
34boo13boo$35bobboo5boobbo$$38bo7bo$36bo11bo$35boo11boo$34boo3b3ob3o3b
oo$36bobobbobobbobo$36b3o7b3o$39b3ob3o$37bo9bo$37bo9bo$36b3o7b3o$36boo
9boo$35bobo9bobo$33boo15boo$33boo15boo$34bo15bo3$35boo11boo$35b3o9b3o
$$35boboo7boobo$35bo3boo3boo3bo$36boobbo3bobboo$41bobo$37booboobooboo$
40bo3bo$39bo5bo$38b3o3b3o$39b3ob3o$37b4o3b4o$37b4o3b4o$35boo3bo3bo3boo
$36bobobo3bobobo$34bobobo7bobobo$33booboboo5booboboo$32bobbo13bobbo$
33boob4o5b4oboo$34bo3b3o3b3o3bo$33boo4boo3boo4boo$33bo17bo$34boboo3bob
o3boobo$34boboobbooboobboobo$33b3o4bo3bo4b3o$34bo15bo3$33bobo13bobo$
33boobo11boboo18bo11bo$33bo17bo17bobo9bobo$33b4o11b4o16booboo7booboo$
32bobo15bobo15bo15bo$33bo3boo7boo3bo16b3obbo5bobb3o$37bobo5bobo18bo7bo
3bo7bo$37bo9bo19boobbooboobooboobboo$35bobo9bobo17bobo4bo3bo4bobo$35bo
boo7boobo14b3ob3obboo3boobb3ob3o$36bo11bo15boob4ob3o3b3ob4oboo$65b4o4b
oo3boo4b4o$41b3o22bo5boo5boo5bo$40bo3bo25bobbo5bobbo$40booboo24b3obo5b
ob3o$40bo3bo23bo5booboo5bo$39b3ob3o21b3obooboobooboob3o$37boo7boo16boo
boo15booboo$38bobo3bobo16boobooboob4ob4oboobooboo$37boobo3boboo25boo3b
oo$36booboo3booboo15bo23bo$37boboo3boobo13booboo6bo7bo6booboo$37boboo
3boobo14boo8boo5boo8boo$37boobo3boboo$41bobo29b3ob3o$36bo4bobo4bo11bo
31bo$35bo4bo3bo4bo9b3o29b3o$34boo13boo7booboo27booboo$38boo5boo10b3o
33b3o$38booboboboo10boo35boo$9bo11bo35b3o33b3o$8b3o9b3o17booboo14bo33b
o$7bobboo7boobbo16bo3bo$6bo3bobo5bobo3bo13bo7bo11boo33boo$5boobooboo5b
oobooboo11b3o5b3o7boobo35boboo$5b4o3bo5bo3b4o10b3o7b3o6bobbo35bobbo$5b
o3b4obobob4o3bo31bo37bo$9bo11bo31boo43boo$4bobo3boobbobobboo3bobo25bob
oo41boobo$5bo4bobo5bobo4bo10b3o13boboo41boobo$36b3o12boo47boo$8boobo7b
oboo22bobo3boobo43boboo$8b5o5b5o21bobbo5b3o41b3o$7boo4bo3bo4boo10bo5bo
4boo6b3o41b3o$10b4o3b4o12bo7bo37b3o9b3o$4bob3obobobobobobob3obo7bo5b3o
4bo31bobbo7bobbo$3b3obbo5bobo5bobb3o12b4o3bo30boo13boo$bboobbo7bobo7bo
bboo14bo3bo28boobo3bo5bo3boboo$boo3bo4bo7bo4bo3boo6b3o40b3oboo3boob3o$
11bobo3bobo55bo21bo$11bobbobobbo56bobob5o3b5obobo$4bo7boo3boo7bo49bo3b
obboo3boobbo3bo$oboo23boobo45bo3b3o7b3o3bo$b4o6bo7bo6b4o6bobo8bo28bo4b
o9bo4bo$5boo17boo10bobbo6bo33b3o7b3o$5boo17boo9bo3boo9boo27bobboo5boo
bbo$5boo17boo9bo4b4o6boo30boo5boo$4boo9bo9boo8bo3boo5bo5bo25boo4bo3bo
4boo$3boo5bo3b3o3bo5boo7bo3bo4bo6b3o23bo3bo3bobo3bo3bo$bbo6bobobooboob
obo6bo6bo16bo21boob3obobobobobobob3oboo$b3o4boobobo3boboboo4b3o6bo3boo
5bo3bo21bo5boo4bobo4boo5bo$bobbobboobobo5boboboobbobbo6bobo4boo3bobbo
20bo4boo15boo4bo$3bo23bo21bo22b3o8bo5bo8b3o$10bo9bo60boo7boo$bo5b3obbo
5bobb3o5bo52bobbobobbo$bobb3o5bo5bo5b3obbo21boo21bo8boo3boo8bo$6bobo
13bobo26boo18bo3bo7bo5bo7bo3bo$74bo23bo$8boo11boo46boo31boo$9bo11bo46b
obboo27boobbo$68boobbo27bobboo$51bo3boo12boobbo25bobboo$51bo3boo13bobo
27bobo$35bo$36bo31b3o31b3o$34b3o31bo35bo$66boobbo31bobboo$65boo39boo$
64bobbo37bobbo$63boo43boo$62bo47bo$62b3o43b3o$63boo43boo$55boo$55boo7b
obo39bobo$64bobo39bobo$$64boo41boo$62bo$60boobbo$60bo3bo$59bobbo$42bo
16bobbo$43bo16boo$41b3o!

Creating a period 28 forward rake from this is slightly harder since the nice blinker-to-forward-glider reaction doesn't work with periods below 35. None of my recent glider turning convoys are usable since they won't work at this low period either.

So the next obvious way to make a forward rake is to use the usual kick-back reaction which works fine in this case.

However, I found a very slightly smaller way to create a forward rake.

Code: Select all

#C An orthogonal 3c/7 period 28 forward glider rake.
#C This uses a backward period 28 rake and a period 14 convoy which
#C can turn backward gliders into forward gliders.
#C David I. Bell, 27 October 2026
x = 161, y = 384, rule = B3/S23
38bo11bo$37b3o9b3o$36bobboo7boobbo$35bo3bobo5bobo3bo$34boobooboo5boob
ooboo$34b4o3bo5bo3b4o$34bo3b4obobob4o3bo$38bo11bo$33bobo3boobbobobboo
3bobo$34bo4bobo5bobo4bo$$37boobo7boboo$37b5o5b5o$36boo4bo3bo4boo$39b4o
3b4o$33bob3obobobobobobob3obo$32b3obbo5bobo5bobb3o$31boobbo7bobo7bobb
oo$30boo3bo4bo7bo4bo3boo$40bobo3bobo$40bobbobobbo$33bo7boo3boo7bo$29bo
boo23boobo$30b5o5bo7bo5b5o$34boo17boo$33b3o17b3o$31boobbo17bobboo$31b
4o19b4o$30boo3boo15boo3boo$31bo3booboo9booboo3bo$31bo3booboo9booboo3bo
$32bo23bo$38bobbo5bobbo$35boobo11boboo$37boo11boo$35b3o13b3o$37boobo7b
oboo$38bobo7bobo$40bo7bo$38bobbo5bobbo$37boboo7boobo$36b3oboo5boob3o$
36boo13boo$40boo5boo$$37b3o9b3o$36bobo3bo3bo3bobo$36bobbob3ob3obobbo$
38bobobbobobbobo$38bobobbobobbobo$38bobboo3boobbo$40bobo3bobo$$40bo7bo
$37bo13bo$36boobo9boboo$35bobo13bobo$37bo13bo$35boo15boo3$37bobo9bobo$
37bobo9bobo$37bobbo7bobbo$38boboo5boobo$37bo3boo3boo3bo$38bobb3ob3obbo
$38bobooboboboobo$41b3ob3o$40bobooboobo$40bo7bo$40bobbobobbo$39bo3bobo
3bo$39bo9bo$43bobo$37boo3booboo3boo$38bo11bo$35boobobo7boboboo$35boobo
boo5booboboo$34bo19bo$35booboobbo3bobbooboo$$35boo3bobo3bobo3boo$35bob
o4bo3bo4bobo$35booboobbooboobbooboo$39bobbooboobbo$35bobbo3booboo3bobb
o$35b3o13b3o3$35bobo13bobo$34boobo13boboo17bo11bo$34bo3bo11bo3bo15boob
oo7booboo$34bobbo13bobbo15booboo7booboo$34bo3boo9boo3bo14bo3boo7boo3bo
$35bo3boo7boo3bo15b3o13b3o$38boo9boo21b3obooboob3o$39bo9bo18b3o5booboo
5b3o$39bo9bo17bo5boo7boo5bo$37boboo7boobo14bo6boobbobobboo6bo$38boo9b
oo21b3obbobobb3o$44bo21bo6bo9bo6bo$43b3o21boo5bo7bo5boo$42bo3bo24boobb
oo3boobboo$41b3ob3o23b5o5b5o$69bo7bobo7bo$40b4ob4o19bobbo3b3ob3o3bobbo
$39boobbobobboo15b3o21b3o$65booboobobbobbobobbobbobooboo$38bo3booboo3b
o14b3o6bobbobobbo6b3o$38bo4bobo4bo14b3o7bo5bo7b3o$39bo3bobo3bo13booboo
6boo5boo6booboo$38boo3bobo3boo12b4o7boo5boo7b4o$39booboobooboo24bo7bo$
39bobbooboobbo26bo3bo$42booboo14b3o12bo3bo12b3o$36b3o11b3o7bo3bo27bo3b
o$36boo3bo5bo3boo6bo3boo27boo3bo$40b3o3b3o13bo31bo$40b3o3b3o9bo39bo$
10b3o9b3o16bobobobo11bobo33bobo$10bobbo7bobbo17booboo14bo33bo$9boo13b
oo15b3ob3o12boo33boo$7boobo3bo5bo3boboo11boo7boo9b3o33b3o$10b3oboo3boo
b3o13bobbo5bobbo6boobo35boboo$6bo21bo9bobbo5bobbo6bobbo35bobbo$7bobob
5o3b5obobo11bo9bo6bo43bo$7bo3bobboo3boobbo3bo27b3o41b3o$7bo3b3o7b3o3bo
21bo4bo47bo$7bo4bo9bo4bo20bobo3boboo41boobo$11b3o7b3o13booboo6bobo5boo
41boo$10bobboo5boobbo11bo5bo6bo3bobboo41boobbo$13boo5boo$9boo4bo3bo4b
oo11booboo13bobo24bo11bo4bobo$8bo3bo3bobo3bo3bo12bo16bo24b3o9b3o4bo$5b
oob3obobobobobobob3oboo53bo9bo$4bo5boo4bobo4boo5bo48boboo11boobo$3bo4b
oo15boo4bo15bo31bo4b3o3b3o4bo$3b3o8bo5bo8b3o14boo30bob3ob3o3b3ob3obo$
12boo7boo$13bobbobobbo24b3o28b3ob4obo3bob4ob3o$5bo8boo3boo8bo8b3o36boo
7bo3bo7boo$14bo5bo56b3obboboo5boobobb3o$3bobboo19boobbo$4boobbo17bobb
oo51bobbo5bobbo$6bobbo15bobbo53bo11bo$52bo27boobbobo3bobobboo$5bobbo7b
3o7bobbo11b3o6booboo25bo3b3o3b3o3bo$5b3o4bobbo3bobbo4b3o13bo5boboboo
23boo4bobbobobbo4boo$3bobbo3boobobo3boboboo3bobbo9bobo5bo3boo21boboobo
boobbobobbooboboobo$3bobo3bo3bobooboobo3bo3bobo5booboo7b5o21boobo3bo3b
o3bo3bo3boboo$3bobbobboob3o5b3oboobbobbo4bobo3bo7bobo21bobo3boo13boo3b
obo$11bobo7bobo12bobo11b3o21boo8bo7bo8boo$10boo11boo11b6o9boobboo18bo
7b3o5b3o7bo$7b5obo7bob5o10bo12booboo27boobo3boboo$7boobbo11bobboo24bob
o29b3o3b3o$8boo15boo49boo7boo3boo7boo$9b3o11b3o27boo17bo31bo$10boo11b
oo28boo16b3o29b3o$10boo11boo28boo15bobboo27boobbo$70bo3boo25boo3bo$70b
oboboo25boobobo$71b3o29b3o$72boo29boo$57boo11boo33boo$57boo11bobo31bob
o$67b3o37b3o$67bo41bo$39bo25boobo39boboo$40bo24boo43boo$38b3o23bo47bo$
64bobo43bobo$64bobo43bobo$65b3o41b3o3$57boo7bo43bo$57boo$63bob3o$62boo
bo$61boobbo$61b3obo30b3o9b3o$61bobbo30bo3bo7bo3bo$62boo30bobo3bo5bo3bo
bo$94bo3boo7boo3bo$94b3o3bo5bo3b3o$93bo3boob3ob3oboo3bo$46bo46boobbo3b
ooboo3bobboo$47bo44b3o3b5ob5o3b3o$45b3o52bo5bo$97bo11bo$92bo4bo11bo4bo
$92bo4b4o5b4o4bo$96bo4bo3bo4bo$95boob3o5b3oboo$95boobo3bobo3boboo$91b
3o7booboo7b3o$90bo3boo4bobobobo4boo3bo$89bo3bo19bo3bo$89bo9b3o3b3o9bo$
93bo6boo3boo6bo$88bo12bo3bo12bo$88bobboo5bo9bo5boobbo$89boo8bo7bo8boo$
93boo5bo5bo5boo$93boo17boo$53bo37bo23bo$54bo34booboo19booboo$52b3o39bo
17bo$89bo4boobo11boboo4bo$90boo3boboo9boobo3boo$98bo9bo$89bobo6b3o5b3o
6bobo$94boobb3o5b3obboo$89bobobboobboo7boobboobbobo$95bobboo7boobbo$
97boo9boo$97bo11bo$98boo7boo$97boobo5boboo$98bobbo3bobbo$95boo13boo$
96bobboo5boobbo$$99bo7bo$60bo36bo11bo$61bo34boo11boo$59b3o33boo3b3ob3o
3boo$97bobobbobobbobo$97b3o7b3o$100b3ob3o$98bo9bo$98bo9bo$97b3o7b3o$
97boo9boo$96bobo9bobo$94boo15boo$94boo15boo$95bo15bo3$96boo11boo$96b3o
9b3o$$67bo28boboo7boobo$68bo27bo3boo3boo3bo$66b3o28boobbo3bobboo$102bo
bo$98booboobooboo$101bo3bo$100bo5bo$99b3o3b3o$100b3ob3o$98b4o3b4o$98b
4o3b4o$96boo3bo3bo3boo$97bobobo3bobobo$95bobobo7bobobo$94booboboo5boob
oboo$93bobbo13bobbo$94boob4o5b4oboo$95bo3b3o3b3o3bo$94boo4boo3boo4boo$
74bo19bo17bo$75bo19boboo3bobo3boobo$73b3o19boboobbooboobboobo$94b3o4bo
3bo4b3o$95bo15bo3$94bobo13bobo$94boobo11boboo$94bo17bo$94b4o11b4o$93bo
bo15bobo$94bo3boo7boo3bo$98bobo5bobo$98bo9bo$96bobo9bobo$96boboo7boobo
$97bo11bo$$81bo20b3o$82bo18bo3bo23b3o9b3o$80b3o18booboo22bo3bo7bo3bo$
101bo3bo21bobo3bo5bo3bobo$100b3ob3o20bo3boo7boo3bo$98boo7boo18b3o3bo5b
o3b3o$99bobo3bobo18bo3boob3ob3oboo3bo$98boobo3boboo17boobbo3booboo3bo
bboo$97booboo3booboo15b3o3b5ob5o3b3o$98boboo3boobo24bo5bo$98boboo3boob
o21bo11bo$98boobo3boboo16bo4bo11bo4bo$102bobo20bo4b4o5b4o4bo$97bo4bobo
4bo19bo4bo3bo4bo$96bo4bo3bo4bo17boob3o5b3oboo$95boo13boo16boobo3bobo3b
oboo$99boo5boo16b3o7booboo7b3o$99booboboboo15bo3boo4bobobobo4boo3bo$
122bo3bo19bo3bo$88bo12booboo16bo9b3o3b3o9bo$89bo11bo3bo20bo6boo3boo6bo
$87b3o9bo7bo13bo12bo3bo12bo$98b3o5b3o12bobboo5bo9bo5boobbo$97b3o7b3o
12boo8bo7bo8boo$120bo12bo5bo12bo$119b3o29b3o$118boobbo27bobboo$107b3o
11boo27boo$96booboo6b3o11bo29bo$96booboo$96booboo17bo35bo$97bobo5bo5bo
7boo31boo$98bo5bo7bo4bobbo31bobbo$105bo5bo4bo39bo$91b3o21boo39boo$91bo
22b4o37b4o$92bo14b3o3bo45bo$113b3o41b3o$98bo13bo47bo$84b3o11bo15boo41b
oo$84bo13bo12bo4bo39bo$85bo23bo4boo41boo$107boo6bo41bo$114bo43bo$77b3o
18bo15bo43bo$77bo20bo8bo11bo$78bo19bo7b3o9b3o$105bobboo7boobbo$104bo3b
obo5bobo3bo$70b3o30boobooboo5boobooboo$70bo27bo4b4o3bo5bo3b4o$71bo26bo
4bo3b4obobob4o3bo$98bo8bo11bo$102bobo3boobbobobboo3bobo$63b3o37bo4bobo
5bobo4bo$63bo$64bo41boobo7boboo$106b5o5b5o$105boo4bo3bo4boo$56b3o49b4o
3b4o$56bo45bob3obobobobobobob3obo$57bo43b3obbo5bobo5bobb3o$100boobbo7b
obo7bobboo$99boo3bo4bo7bo4bo3boo$49b3o57bobo3bobo$49bo59bobbobobbo$50b
o51bo7boo3boo7bo$98boboo23boobo$98b4o7bo7bo7b4o$42b3o51boobo27boboo$
42bo52bobbo29bobbo$43bo51boobbo27bobboo$97b3o27b3o$98boo27boo$35b3o$
35bo60bo33bo$36bo58b3o31b3o$96boo31boo$92b3o37b3o$28b3o60bo43bo$28bo
62bobbo37bobbo$29bo60bo45bo$89b3o43b3o$$21b3o68bo41bo$21bo71bo39bo$22b
o68b3o39b3o$92bo41bo$91boo41boo$14b3o$14bo$15bo3$7b3o$7bo$8bo3$3o$o$bo
!

The glider turning convoy shown here works for larger periods too which are multiples of 14, but there are much smaller convoys available for the higher periods.

Another perturbation of the blinker puffer produces this higher period rake.

Code: Select all

#C An orthogonal 3c/7 period 56 forward glider rake.
#C This uses a period 14 double blinker puffer by Dylan Chen.
#C Two spaceships perturb its output to create gliders and some debris.
#C Five more spaceships are used to delete all the debris.
#C David I. Bell, 27 October 2026
x = 151, y = 294, rule = B3/S23
70b3o9b3o$69bo3bo7bo3bo$68bobo3bo5bo3bobo$68bo3boo7boo3bo$68b3o3bo5bo
3b3o$67bo3boob3ob3oboo3bo$67boobbo3booboo3bobboo$66b3o3b5ob5o3b3o$74bo
5bo$71bo11bo$66bo4bo11bo4bo$66bo4b4o5b4o4bo$70bo4bo3bo4bo$69boob3o5b3o
boo$69boobo3bobo3boboo$65b3o7booboo7b3o$64bo3boo4bobobobo4boo3bo$63bo
3bo19bo3bo$63bo9b3o3b3o9bo$67bo6boo3boo6bo$62bo12bo3bo12bo$62bobboo5bo
9bo5boobbo$63boo8bo7bo8boo$67boo5bo5bo5boo$67boo17boo$65bo23bo$63boob
oo19booboo$68bo17bo$63bo4boobo11boboo4bo$64boo3boboo9boobo3boo$72bo9bo
$63bobo6b3o5b3o6bobo$68boobb3o5b3obboo$63bobobboobboo7boobboobbobo$69b
obboo7boobbo$71boo9boo$71bo11bo$72boo7boo$71boobo5boboo$72bobbo3bobbo$
69boo13boo$70bobboo5boobbo$$73bo7bo$71bo11bo$70boo11boo$69boo3b3ob3o3b
oo$71bobobbobobbobo$71b3o7b3o$74b3ob3o$72bo9bo$72bo9bo$71b3o7b3o$71boo
9boo$70bobo9bobo$68boo15boo$68boo15boo$69bo15bo3$70boo11boo$70b3o9b3o
$$70boboo7boobo$70bo3boo3boo3bo$71boobbo3bobboo$76bobo$72booboobooboo$
75bo3bo$74bo5bo$73b3o3b3o$74b3ob3o$72b4o3b4o$72b4o3b4o$70boo3bo3bo3boo
$71bobobo3bobobo$69bobobo7bobobo$68booboboo5booboboo$67bobbo13bobbo$
68boob4o5b4oboo$33b3o9b3o21bo3b3o3b3o3bo$33bobo9bobo20boo4boo3boo4boo$
32bobbo9bobbo19bo17bo$32bob4o5b4obo20boboo3bobo3boobo$30boo4bobo3bobo
4boo18boboobbooboobboobo$31b3oboobo3boboob3o18b3o4bo3bo4b3o$29bo8bo3bo
8bo17bo15bo$29bobobboobo5boboobbobo$28bo3boo4bo3bo4boo3bo$29bobo5bo5bo
5bobo16bobo13bobo$30bo4b3o5b3o4bo17boobo11boboo18bo11bo$68bo17bo17bobo
9bobo$34boobo5boboo21b4o11b4o16booboo7booboo$32booboobo3bobooboo18bobo
15bobo15bo15bo$32booboobooboobooboo19bo3boo7boo3bo16b3obbo5bobb3o$29b
oo8bobo8boo20bobo5bobo18bo7bo3bo7bo$27boo3bob6ob6obo3boo18bo9bo19boobb
ooboobooboobboo$28bobo3boo9boo3bobo17bobo9bobo17bobo4bo3bo4bobo$26bob
oo3bo13bo3boobo15boboo7boobo14b3ob3obboo3boobb3ob3o$26bobo6b3o5b3o6bob
o16bo11bo15boob4ob3o3b3ob4oboo$26boo25boo45b4o4boo3boo4b4o$38bo3bo33b
3o22bo5boo5boo5bo$35bo3bobo3bo29bo3bo25bobbo5bobbo$36bobo3bobo30booboo
24b3obo5bob3o$23b3o29b3o17bo3bo23bo5booboo5bo$23bobbo27bobbo16b3ob3o
21b3obooboobooboob3o$22bo4bo25bo4bo13boo7boo16booboo15booboo$21boo35b
oo13bobo3bobo16boobooboob4ob4oboobooboo$22bobobbo25bobbobo13boobo3bob
oo25boo3boo$71booboo3booboo15bo23bo$22bobbo29bobbo13boboo3boobo13boob
oo6bo7bo6booboo$22bobbo29bobbo13boboo3boobo14boo8boo5boo8boo$20bobo35b
obo11boobo3boboo$19b3o37b3o14bobo29b3ob3o$21bo37bo11bo4bobo4bo11bo31bo
$17bo45bo6bo4bo3bo4bo9b3o29b3o$16boboo41boobo4boo13boo7booboo27booboo$
16bobo43bobo8boo5boo10b3o33b3o$15boo47boo7booboboboo10boo35boo$16bo9b
3o9b3o23bo27b3o33b3o$17b3o6bobbo7bobbo20b3o11booboo14bo33bo$18bo6boo
13boo20bo12bo3bo$23boobo3bo5bo3boboo29bo7bo11boo33boo$26b3oboo3boob3o
31b3o5b3o7boobo35boboo$22bo21bo16bobo7b3o7b3o6bobbo35bobbo$23bobob5o3b
5obobo18booboo25bo37bo$23bo3bobboo3boobbo3bo19bobobo20boo43boo$23bo3b
3o7b3o3bo18boo23boboo41boobo$23bo4bo9bo4bo19bobobbobb3o7b3o3boboo41boo
bo$27b3o7b3o24bobbo3b3o7b3obboo47boo$26bobboo5boobbo24boo19boobo43bob
oo$29boo5boo50b3o41b3o$25boo4bo3bo4boo46b3o41b3o$24bo3bo3bobo3bo3bo$
21boob3obobobobobobob3oboo28bo6bo$20bo5boo4bobo4boo5bo25b3o6bo$19bo4b
oo15boo4bo22boobbo4booboo$19b3o8bo5bo8b3o21bobbo$28boo7boo30b4o$29bobb
obobbo$21bo8boo3boo8bo$18bo3bo7bo5bo7bo3bo$21bo23bo$16boo31boo$15bobb
oo27boobbo20bo4bo$15boobbo27bobboo19b3obbobo$16boobbo25bobboo19bo4bo3b
o$17bobo27bobo20bob3o4boo$69bo6b3oboo$15b3o31b3o17boo5bo3boboo$15bo35b
o20boobooboobboo$13boobbo31bobboo9bo9b8oboo$12boo39boo8bo11boo4bo$11bo
bbo37bobbo7bo12boo$10boo43boo20bo$9bo47bo$9b3o43b3o$10boo43boo$$11bobo
39bobo22bo5bo$11bobo39bobo22bo5bo$78bo5bo$11boo41boo$57bo22b3o$55bobb
oo$55bo3bo$57bobbo$57bobbo24boo$58boo24bobbo$71bo12bobo$70bobo12bo$71b
o$$76bo$75b4o$75bo3bo$74bo4bo$68bo6bo3bo$66b3o9bo4boo7b3o$65bobbo13bo
bbo8bo$65bobo18bo4bo$69bo12boobo3bobo$74boo9bo3b4obbo$67bo3bobobbo13b
3obo$67bo3bobboo15b3o$67boo6bo8bo7boo$68booboo10bobbo$70b3o11bobo$85bo
20b3o$108bo$107bo3$71bo$70bobo$71bo3$120b3o$17b3o9b3o90bo$16bo3bo7bo3b
o88bo$15bobo3bo5bo3bobo$15bo3boo7boo3bo43b3o$15b3o3bo5bo3b3o$14bo3boob
3ob3oboo3bo27bo$14boobbo3booboo3bobboo27boo$13b3o3b5ob5o3b3o27b3o44b3o
9b3o$21bo5bo35bo25bo19bo3bo7bo3bo$18bo11bo27boo3bo25bo18bobo3bo5bo3bob
o7b3o$13bo4bo11bo4bo21bo3bobboo23bo18bo3boo7boo3bo9bo$13bo4b4o5b4o4bo
21bo3boo45b3o3bo5bo3b3o8bo$17bo4bo3bo4bo26boboo45bo3boob3ob3oboo3bo$
16boob3o5b3oboo29bo44boobbo3booboo3bobboo$16boobo3bobo3boboo73b3o3b5ob
5o3b3o$12b3o7booboo7b3o22boo53bo5bo$11bo3boo4bobobobo4boo3bo21boo50bo
11bo$10bo3bo19bo3bo67bo4bo11bo4bo$10bo9b3o3b3o9bo32bo34bo4b4o5b4o4bo$
14bo6boo3boo6bo35bobo37bo4bo3bo4bo23b3o$9bo12bo3bo12bo31bo37boob3o5b3o
boo24bo$9bobboo5bo9bo5boobbo69boobo3bobo3boboo23bo$10boo8bo7bo8boo66b
3o7booboo7b3o$8bo12bo5bo12bo63bo3boo4bobobobo4boo3bo$7b3o29b3o61bo3bo
19bo3bo$6boobbo27bobboo60bo9b3o3b3o9bo$9boo27boo67bo6boo3boo6bo$9bo29b
o37b3o22bo12bo3bo12bo$102bobboo5bo9bo5boobbo$6bo35bo60boo8bo7bo8boo$7b
oo31boo12bo46bo12bo5bo12bo$5bobbo31bobbo8b4obo42b3o29b3o$4bo39bo6bobb
oobo12bo18bo9boobbo27bobboo$3boo39boo5bobboobo13bo17bo12boo27boo$bb4o
37b4o7bo14bobo17bo12bo29bo$bo45bo16bo3b3o$b3o41b3obbo13bo34bo35bo$o47b
obbobo3bo6bo35boo31boo$bboo41boo5bo4boo39bobbo31bobbo$4bo39bo52bo39bo$
bboo41boo49boo39boo$3bo41bo49b4o37b4o$bbo43bo24bo22bo45bo$bbo43bo23bob
o21b3o41b3o$71bo21bo47bo$38bo11bo44boo41boo$37b3o9b3o45bo39bo$36bobboo
7boobbo42boo41boo$35bo3bobo5bobo3bo42bo41bo$34boobooboo5boobooboo40bo
43bo$34b4o3bo5bo3b4o40bo43bo$34bo3b4obobob4o3bo22b3o19b3o9b3o$38bo11bo
48bobbo7bobbo$33bobo3boobbobobboo3bobo42boo13boo$34bo4bobo5bobo4bo41b
oobo3bo5bo3boboo$99b3oboo3boob3o$37boobo7boboo43bo21bo$37b5o5b5o44bobo
b5o3b5obobo$36boo4bo3bo4boo43bo3bobboo3boobbo3bo$39b4o3b4o46bo3b3o7b3o
3bo$33bob3obobobobobobob3obo15b3o22bo4bo9bo4bo$32b3obbo5bobo5bobb3o43b
3o7b3o$31boobbo7bobo7bobboo41bobboo5boobbo$30boo3bo4bo7bo4bo3boo43boo
5boo$40bobo3bobo49boo4bo3bo4boo$40bobbobobbo48bo3bo3bobo3bo3bo$33bo7b
oo3boo7bo38boob3obobobobobobob3oboo$29boboo23boobo33bo5boo4bobo4boo5bo
$29b4o7bo7bo7b4o32bo4boo15boo4bo$27boobo27boboo30b3o8bo5bo8b3o$26bobbo
29bobbo38boo7boo$26boobbo27bobboo39bobbobobbo$28b3o27b3o33bo8boo3boo8b
o$29boo27boo31bo3bo7bo5bo7bo3bo$94bo23bo$27bo33bo15b3o9boo31boo$26b3o
31b3o25bobboo27boobbo$27boo31boo26boobbo27bobboo$23b3o37b3o23boobbo25b
obboo$22bo43bo23bobo27bobo$22bobbo37bobbo$21bo45bo20b3o31b3o$20b3o43b
3o19bo35bo$86boobbo31bobboo$23bo41bo5b3o11boo39boo$24bo39bo19bobbo37bo
bbo$22b3o39b3o16boo43boo$23bo41bo16bo47bo$22boo41boo15b3o43b3o$83boo
43boo$$84bobo39bobo$84bobo39bobo$$84boo41boo!

I think this rake looks pretty with those blinkers and tubs.

A period 56 backward rake is easy to make using the glider turning convoys, so I won't bother showing one here.

BCNU,
-dbell

[amling]

As I was watching the logs for some 3c/9 back searches I'm running scroll by I got to thinking about one of the inputs: a single line of blocks.

We have several c/3 ships capable of eating blocks but my brief efforts to find an already-existing one that could do it safely with a line of them didn't find anything. It's certainly possible a ship that can do this is already known and I've just missed it.

I sketched some catalyst-style LLSSS searches (lots of "3" wildcards, a light cone of W's, etc.) and quickly found a result even with just two generations of interaction. Pictured destretching behind a 3c/9 and a 3c/6 stretcher:

Code: Select all

#C [[ TRACK 0 -1/3 ]]
x = 126, y = 99, rule = B3/S23
16b2o10b2o$16b2ob2o4b2ob2o63bo18bo$15bo3b2o4b2o3bo61b3o16b3o$15bobo3b
4o3bobo59b2ob3o14b3ob2o$19bob4obo64bo2bob2o4b2o4b2obo2bo$88b2obo4bobob
2o2b2obobo4bob2o$16b2obobo2bobob2o58b2obobo2bobo8bobo2bobob2o$17bobo6b
obo59bo8b3obo2bob3o8bo$16b5o4b5o57b2o7b2o10b2o7b2o$17bo3bo2bo3bo$12b3o
bobo2bo2bo2bobob3o62b2o10b2o$11bo4b2obob4obob2o4bo63bo8bo$12bo5b2o6b2o
5bo64b2o6b2o$17bobo6bobo67b2obo6bob2o$16b2obo6bob2o64b2obob2o4b2obob2o
$15bobo2bo4bo2bobo62bo3bo10bo3bo$12b2obobo10bobob2o58b2obobob2o4b2obob
ob2o$12b2obob2o8b2obob2o57bobo2bobo8bobo2bobo$12bobo2bo10bo2bobo56b2o
2bob3o8b3obo2b2o$17bob2o4b2obo59b2obo22bob2o$16b2obobo2bobob2o59bo5b2o
12b2o5bo$18b2o6b2o58b2obo4bo16bo4bob2o$22b2o62b2ob2ob2obob2o8b2obob2ob
2ob2o$17b3o6b3o57b3obobo2bobo10bobo2bobob3o$13b3ob3ob4ob3ob3o52b2o3bob
o2bobob2o4b2obobo2bobo3b2o$12bo3bobob6obobo3bo56bo4bobob2o4b2obobo4bo$
13b2o16b2o56bob3o3bobobo2bobobo3b3obo$19bo6bo62bobob2o6bo2bo6b2obobo$
19bo6bo64bob2o5bo4bo5b2obo2$22b2o78b2o$22b2o78b2o2$22b2o78b2o$22b2o78b
2o2$22b2o78b2o$22b2o78b2o2$22b2o78b2o$22b2o78b2o2$22b2o78b2o$22b2o78b
2o2$22b2o78b2o$22b2o78b2o2$22b2o78b2o$22b2o78b2o2$22b2o78b2o$22b2o78b
2o2$22b2o78b2o$22b2o78b2o2$22b2o78b2o$22b2o78b2o2$22b2o78b2o$22b2o78b
2o2$22b2o78b2o$22b2o78b2o2$22b2o78b2o$22b2o78b2o2$22b2o78b2o$22b2o78b
2o2$22b2o78b2o$22b2o78b2o2$22b2o78b2o$22b2o78b2o2$22b2o78b2o$17bo4b2o
4bo68bo4b2o4bo$7b2o4b3ob2o8b2ob3o4b2o48b2o4b3ob2o8b2ob3o4b2o$4b2ob2o3b
o5b2o2b2o2b2o5bo3b2ob2o42b2ob2o3bo5b2o2b2o2b2o5bo3b2ob2o$b4o2b2o3bobob
obo3b2o3bobobobo3b2o2b4o36b4o2b2o3bobobobo3b2o3bobobobo3b2o2b4o$o4bo4b
obobo4bo6bo4bobobo4bo4bo34bo4bo4bobobo4bo6bo4bobobo4bo4bo$b2o7b3obo4bo
6bo4bob3o7b2o36b2o7b3obo4bo6bo4bob3o7b2o$10b2obobo5bo2bo5bobob2o54b2ob
obo5bo2bo5bobob2o$7b2o6bo2b4o2b4o2bo6b2o48b2o6bo2b4o2b4o2bo6b2o$7b2o2b
o6b2o6b2o6bo2b2o48b2o2bo6b2o6b2o6bo2b2o$7b3o6b3o8b3o6b3o48b3o6b3o8b3o
6b3o$9b3ob3o14b3ob3o52b3ob3o14b3ob3o2$9b3o2b2o14b2o2b3o52b3o2b2o14b2o
2b3o2$11b4o16b4o56b4o16b4o$10bo4bo14bo4bo54bo4bo14bo4bo$9b3o22b3o52b3o
22b3o$8b2o26b2o50b2o26b2o$9bo26bo52bo26bo$8b2o26b2o50b2o26b2o!

[dbell]

There are several more tricks using the orthogonal 3c/7 period 21 double block puffer.

Here is a small filter convoy which multiplies the period of a rake by three, if the period is not already a multiple of three.

Code: Select all

#C An orthogonal 3c/7 convoy to filter glider streams by three.
#C This deletes two out of every three gliders from a forward glider
#C stream whose period is not a multiple of three.  This is shown
#C here ready to emit a glider when it receives the first one.
#C The minimum period that works is 49.  The output gliders can be
#C emitted in the other direction by repositioning the rear spaceship.
#C David I. Bell, 30 October 2026
x = 118, y = 123, rule = B3/S23
57b3o9b3o$57bobo9bobo$56bobbo9bobbo$56bob4o5b4obo$54boo4bobo3bobo4boo$
55b3oboobo3boboob3o$53bo8bo3bo8bo$53bobobboobo5boboobbobo$52bo3boo4bo
3bo4boo3bo$53bobo5bo5bo5bobo$54bo4b3o5b3o4bo$$58boobo5boboo$56booboobo
3bobooboo$56booboobooboobooboo$53boo8bobo8boo$51boo3bob6ob6obo3boo$52b
obo3boo9boo3bobo$50boboo3bo13bo3boobo$50bobo6b3o5b3o6bobo$50boo25boo$
50bo11bo3bo11bo$49boo3bo4bo3bobo3bo4bo3boo$49bobbooboo3bobo3bobo3boob
oobbo$54b3o15b3o$55bobbo11bobbo$58bo11bo$56bobo11bobo$55boo15boo$53boo
bboo11boobboo$57boo11boo$52boobo17boboo$51bobobbobbo3b3o3bobbobbobo$
54bobbobo3b3o3bobobbo$51b3o4bo3bo3bo3bo4b3o$61bobobobo$60bo7bo$60bobo
3bobo$57b3o3b3o3b3o$57bobo9bobo$57boo11boo$56bo15bo12b3o9b3o$85bobo9bo
bo$57boo11boo12bobbo9bobbo$58boo9boo13bob4o5b4obo$53b3obboo9boobb3o6b
oo4bobo3bobo4boo$54boo17boo8b3oboobo3boboob3o$59bo9bo11bo8bo3bo8bo$56b
3o11b3o8bobobboobo5boboobbobo$57bo13bo8bo3boo4bo3bo4boo3bo$81bobo5bo5b
o5bobo$21b3o58bo4b3o5b3o4bo$23bo48bo$22bo35b3o25boobo5boboo$58bo25boob
oobo3bobooboo$61bo22booboobooboobooboo$58bo22boo8bobo8boo$57boo20boo3b
ob6ob6obo3boo$57bobbo19bobo3boo9boo3bobo$59bo18boboo3bo13bo3boobo$78bo
bo6b3o5b3o6bobo$58bo19boo25boo$58bo31bo3bo$17b3o9b3o26bo28bo3bobo3bo$
17bobbo7bobbo56bobo3bobo$16boo13boo22boo3boo13b3o29b3o$14boobo3bo5bo3b
oboo19bobbobobbo12bobbo27bobbo$17b3oboo3boob3o22boo5boo11bo4bo25bo4bo$
13bo21bo37boo35boo$14bobob5o3b5obobo39bobobbo25bobbobo$14bo3bobboo3boo
bbo3bo$14bo3b3o7b3o3bo39bobbo29bobbo$14bo4bo9bo4bo39bobbo3bo11bo13bobb
o$18b3o7b3o41bobo5b3o9b3o15bobo$17bobboo5boobbo39b3o8bo9bo18b3o$20boo
5boo25boo5boo10bo4boboo11boobo14bo$16boo4bo3bo4boo21boo5boo6bo8bo4b3o
3b3o4bo18bo$15bo3bo3bobo3bo3bo34boboo5bob3ob3o3b3ob3obo15boobo$12boob
3obobobobobobob3oboo31bobo43bobo$11bo5boo4bobo4boo5bo29boo7b3ob4obo3bo
b4ob3o17boo$10bo4boo15boo4bo29bo7boo7bo3bo7boo17bo$10b3o8bo5bo8b3o30b
3o4b3obboboo5boobobb3o14b3o$19boo7boo40bo43bo$20bobbobobbo52bobbo5bobb
o$12bo8boo3boo8bo17boo5boo18bo11bo$9bo3bo7bo5bo7bo3bo14boo5boo6bobo7b
oobbobo3bobobboo$12bo23bo29booboo8bo3b3o3b3o3bo$7boo31boo23bobobo7boo
4bobbobobbo4boo$6bobboo27boobbo26boo4bobooboboobbobobbooboboobo$6boobb
o27bobboo21bobbobo4boobo3bo3bo3bo3bo3boboo$7boobbo25bobboo23bobbo4bobo
3boo13boo3bobo$8bobo27bobo25boo5boo8bo7bo8boo$74bo7b3o5b3o7bo$6b3o31b
3o11boo26boobo3boboo$6bo35bo11boo27b3o3b3o$4boobbo31bobboo30boo7boo3b
oo7boo$3boo39boo25bo31bo$bbobbo37bobbo23b3o29b3o$boo43boo21bobboo27boo
bbo$o47bo20bo3boo25boo3bo$3o43b3o20boboboo25boobobo$boo43boo22b3o29b3o
$54boo15boo29boo$bbobo39bobo7boo13boo33boo$bbobo39bobo22bobo31bobo$66b
3o37b3o$bboo41boo19bo41bo$48bo15boobo39boboo$46bobboo13boo43boo$46bo3b
o12bo47bo$48bobbo11bobo43bobo$48bobbo11bobo43bobo$49boo13b3o41b3o3$65b
o43bo$$62bob3o$61boobo$60boobbo$60b3obo$60bobbo$61boo!

Here is an example of it being used.

Code: Select all

#C An orthogonal 3c/7 period 462 (2 * 3 * 7 * 11) forward glider rake.
#C This uses a period 154 (2 * 7 * 11) forward rake and a filtering
#C convoy which deletes two out of every three of the gliders, thereby
#C multiplying the period by three.
#C David I. Bell, 30 October 2026
x = 280, y = 454, rule = B3/S23
45b3o9b3o17b3o9b3o$45bobo9bobo17bobo9bobo$44bobbo9bobbo15bobbo9bobbo$
44bob4o5b4obo15bob4o5b4obo$42boo4bobo3bobo4boo11boo4bobo3bobo4boo$43b
3oboobo3boboob3o13b3oboobo3boboob3o$41bo8bo3bo8bo9bo8bo3bo8bo$41bobobb
oobo5boboobbobo9bobobboobo5boboobbobo$40bo3boo4bo3bo4boo3bo7bo3boo4bo
3bo4boo3bo$41bobo5bo5bo5bobo9bobo5bo5bo5bobo$42bo4b3o5b3o4bo11bo4b3o5b
3o4bo$$46boobo5boboo19boobo5boboo$44booboobo3bobooboo15booboobo3boboob
oo$44booboobooboobooboo15booboobooboobooboo$41boo8bobo8boo9boo8bobo8b
oo$39boo3bob6ob6obo3boo5boo3bob6ob6obo3boo$40bobo3boo9boo3bobo7bobo3b
oo9boo3bobo$38boboo3bo13bo3boobo3boboo3bo13bo3boobo$38bobo6b3o5b3o6bob
o3bobo6b3o5b3o6bobo$38boo25boo3boo25boo$50bo3bo27bo3bo$47bo3bobo3bo21b
o3bobo3bo$41boo5bobo3bobo5boo9boo5bobo3bobo5boo$39bobbo19bobbo5bobbo
19bobbo$42bo19bo11bo19bo$39boo23boo5boo23boo$41bo9b3o9bo9bo9b3o9bo$39b
oo9bo3bo9boo5boo9bo3bo9boo$39booboob6obob6obooboo5booboob6obob6obooboo
$38bo3booboobo3bo3bobooboo3bo3bo3booboobo3bo3bobooboo3bo$38b4oboobbobb
ooboobbobboob4o3b4oboobbobbooboobbobboob4o$38b3obboo5booboo5boobb3o3b
3obboo5booboo5boobb3o$43boo4bo5bo4boo13boo4bo5bo4boo$43bo17bo13bo17bo
$$46boo9boo8b3o8boo9boo$45boo11boo7bobo7boo11boo$46boo9boo8bobo8boo9b
oo$45bobo9bobo5bobobobo5bobo9bobo$46bo11bo5boo5boo5bo11bo$64boobbobboo
$63b3o5b3o$63boobb3obboo$30bo11bo20boo7boo20bo11bo$28booboo7booboo21bo
3bo21booboo7booboo$28booboo7booboo47booboo7booboo$27bo3boo7boo3bo17bo
3bobo3bo17bo3boo7boo3bo$27b3o13b3o18bo7bo18b3o13b3o$30b3obooboob3o23b
ooboo23b3obooboob3o$26b3o5booboo5b3o43b3o5booboo5b3o$25bo5boo7boo5bo
20bo20bo5boo7boo5bo$24bo6boobbobobboo6bo18bobo18bo6boobbobobboo6bo$30b
3obbobobb3o25bo25b3obbobobb3o$24bo6bo9bo6bo19bo19bo6bo9bo6bo$25boo5bo
7bo5boo19bobo19boo5bo7bo5boo$29boobboo3boobboo23b3o23boobboo3boobboo$
29b5o5b5o22b5o22b5o5b5o$27bo7bobo7bo19bo5bo19bo7bobo7bo$26bobbo3b3ob3o
3bobbo17boobbobboo17bobbo3b3ob3o3bobbo$23b3o21b3o13b3obobob3o13b3o21b
3o$23booboobobbobbobobbobbobooboo14boobbobboo14booboobobbobbobobbobbob
ooboo$23b3o6bobbobobbo6b3o15bo5bo15b3o6bobbobobbo6b3o$23b3o7bo5bo7b3o
16b5o16b3o7bo5bo7b3o$21booboo6boo5boo6booboo15b3o15booboo6boo5boo6boob
oo$21b4o7boo5boo7b4o16bo16b4o7boo5boo7b4o$32bo7bo55bo7bo$34bo3bo26bo5b
o26bo3bo$25b3o6bo3bo6b3o17boo3boo17b3o6bo3bo6b3o$27bo17bo11b3o4bobbobo
bbo4b3o11bo17bo$23bo25bo7bobbo4bobobobo4bobbo7bo25bo$23bobbo8b3o8bobbo
6bo3bo4b3ob3o4bo3bo6bobbo8b3o8bobbo$25boo4bo3b3o3bo4boo9bobbo15bobbo9b
oo4bo3b3o3bo4boo$23booboobb3obobobob3obbooboo7bobo17bobo7booboobb3obob
obob3obbooboo$22bobb3obbobobbobobbobobb3obbo15bo3bo15bobb3obbobobbobo
bbobobb3obbo$21b3oboo3b3obooboob3o3boob3o13bobobobo13b3oboo3b3obooboob
3o3boob3o$21boo7bob9obo7boo12bobbobobbo12boo7bob9obo7boo$22bob3o3boboo
boboboobo3b3obo14boo3boo14bob3o3bobooboboboobo3b3obo$26b3o5bo3bo5b3o
43b3o5bo3bo5b3o$27bo17bo13bo17bo13bo17bo$28b3o11b3o14bo17bo14b3o11b3o$
29boo11boo15bo17bo15boo11boo$29bobo9bobo49bobo9bobo$55b3o3b3o9b3o3b3o$
31bo9bo9boo31boo9bo9bo$30bo11bo7b4o5bo17bo5b4o7bo11bo$48boob4o4bo3boo
7boo3bo4b4oboo$48b3obbobbobboob4o5b4oboobbobbobb3o$53boboo4bob4o3b4obo
4boobo$18bo11bo16bo3bo4bobbobbo3bo3bo3bobbobbo4bo3bo16bo11bo$17b3o9b3o
18boo3bobboo17boobbo3boo18b3o9b3o$19bo9bo17b3o5bo3bobo13bobo3bo5b3o17b
o9bo$15boboo11boobo20boo3bo3boo7boo3bo3boo20boboo11boobo$15bo4b3o3b3o
4bo25boo15boo25bo4b3o3b3o4bo$14bob3ob3o3b3ob3obo22b4o5bo3bo5b4o22bob3o
b3o3b3ob3obo$57bobo3bobbo3bobbo3bobo$13b3ob4obo3bob4ob3o23bo17bo23b3ob
4obo3bob4ob3o$13boo7bo3bo7boo19bobbo4bobo5bobo4bobbo19boo7bo3bo7boo$
13b3obboboo5boobobb3o19bobbo4boo7boo4bobbo19b3obboboo5boobobb3o$55b3o
21b3o$18bobbo5bobbo75bobbo5bobbo$18bo11bo75bo11bo$16boobbobo3bobobboo
71boobbobo3bobobboo$16bo3b3o3b3o3bo71bo3b3o3b3o3bo$14boo4bobbobobbo4b
oo67boo4bobbobobbo4boo$12bobooboboobbobobbooboboobo63bobooboboobbobobb
ooboboobo$11boobo3bo3bo3bo3bo3boboo61boobo3bo3bo3bo3bo3boboo$10bobo3b
oo13boo3bobo59bobo3boo13boo3bobo$10boo8bo7bo8boo59boo8bo7bo8boo$11bo7b
3o5b3o7bo61bo7b3o5b3o7bo$19boobo3boboo77boobo3boboo$20b3o3b3o79b3o3b3o
$12boo7boo3boo7boo63boo7boo3boo7boo$8bo31bo55bo31bo$7b3o29b3o53b3o29b
3o$6bobboo27boobbo51bobboo27boobbo$6bo3boo25boo3bo51bo3boo25boo3bo$6bo
boboo25boobobo51boboboo25boobobo$7b3o29b3o53b3o29b3o$8boo29boo55boo29b
oo$6boo33boo51boo33boo$6bobo31bobo51bobo31bobo$3b3o37b3o45b3o37b3o$3bo
41bo45bo41bo$boobo39boboo41boobo39boboo$boo43boo41boo43boo$o47bo39bo
47bo$obo43bobo39bobo43bobo$obo43bobo39bobo43bobo$b3o41b3o41b3o10bo11bo
18b3o$100booboo7booboo$100booboo7booboo$bbo43bo43bo8bo3boo7boo3bo16bo$
99b3o13b3o$45b3obo37bob3o10b3obooboob3o$47boboo35boobo8b3o5booboo5b3o$
47bobboo33boobbo7bo5boo7boo5bo$47bob3o33b3obo6bo6boobbobobboo6bo$48bo
bbo14bo3bo14bobbo13b3obbobobb3o$49boo9bo4bobobobo4bo9boo8bo6bo9bo6bo$
59boo4bobobobo4boo19boo5bo7bo5boo$58boo6bo3bo6boo22boobboo3boobboo$
101b5o5b5o$99bo7bobo7bo$64bo7bo25bobbo3b3ob3o3bobbo$63boobo3boboo21b3o
21b3o$63bobbo3bobbo21booboobobbobbobobbobbobooboo$62boo9boo20b3o6bobbo
bobbo6b3o$63bo9bo21b3o7bo5bo7b3o$64bo7bo20booboo6boo5boo6booboo$93b4o
7boo5boo7b4o$104bo7bo$106bo3bo$91b3o12bo3bo12b3o$90bo3bo27bo3bo$89bo3b
oo27boo3bo$92bo31bo$88bo39bo$89bobo33bobo$91bo33bo$90boo33boo$89b3o33b
3o$87boobo35boboo$87bobbo35bobbo$86bo43bo$85b3o41b3o$84bo47bo$84boboo
41boobo$86boo41boo$83bobboo41boobbo$$85bobo41bobo$86bo43bo3$64b3o9b3o$
63bo3bo7bo3bo$62bobo3bo5bo3bobo$62bo3boo7boo3bo$62b3o3bo5bo3b3o$61bo3b
oob3ob3oboo3bo$16bo11bo32boobbo3booboo3bobboo$15b3o9b3o30b3o3b5ob5o3b
3o$14bobboo7boobbo37bo5bo$13bo3bobo5bobo3bo33bo11bo$12boobooboo5booboo
boo27bo4bo11bo4bo$12b4o3bo5bo3b4o27bo4b4o5b4o4bo$12bo3b4obobob4o3bo31b
o4bo3bo4bo$16bo11bo34boob3o5b3oboo$11bobo3boobbobobboo3bobo29boobo3bob
o3boboo$12bo4bobo5bobo4bo26b3o7booboo7b3o$58bo3boo4bobobobo4boo3bo$15b
oobo7boboo27bo3bo19bo3bo$15b5o5b5o27bo9b3o3b3o9bo$14boo4bo3bo4boo30bo
6boo3boo6bo$17b4o3b4o28bo12bo3bo12bo$11bob3obobobobobobob3obo22bobboo
5bo9bo5boobbo$10b3obbo5bobo5bobb3o22boo8bo7bo8boo$9boobbo7bobo7bobboo
19bo12bo5bo12bo$8boo3bo4bo7bo4bo3boo17b3o29b3o$18bobo3bobo26boobbo27bo
bboo$18bobbobobbo29boo27boo$11bo7boo3boo7bo22bo29bo$7boboo23boobo$8b5o
5bo7bo5b5o16bo35bo$12boo17boo21boo31boo$11b3o17b3o18bobbo31bobbo$9boo
bbo17bobboo15bo39bo$9b4o19b4o14boo39boo$8boo3boo15boo3boo12b4o37b4o$9b
o3booboo9booboo3bo12bo45bo$9bo3booboo9booboo3bo12b3o41b3o$10bo23bo12bo
47bo$16bobbo5bobbo20boo41boo$13boobo11boboo19bo39bo$15boo11boo19boo41b
oo$13b3o13b3o18bo41bo$15boobo7boboo19bo43bo$16bobo7bobo20bo43bo$18bo7b
o20boo$16bobbo5bobbo16boobo$15boboo7boobo15bo$14b3oboo5boob3o14boo$14b
oo13boo15bo3bo$18boo5boo22bo$45bobbo$15b3o9b3o15bo$14bobo3bo3bo3bobo$
14bobbob3ob3obobbo11b3o$16bobobbobobbobo12bob3o$16bobobbobobbobo12boo
3bo$16bobboo3boobbo13b3obo$18bobo3bobo16b3o$44bo$18bo7bo$15bo13bo$14b
oobo9boboo$13bobo13bobo$15bo13bo130bo11bo$13boo15boo127b3o9b3o$158bobb
oo7boobbo$157bo3bobo5bobo3bo$156boobooboo5boobooboo$156b4o3bo5bo3b4o$
156bo3b4obobob4o3bo$160bo11bo$155bobo3boobbobobboo3bobo$156bo4bobo5bob
o4bo$$159boobo7boboo$159b5o5b5o$158boo4bo3bo4boo$161b4o3b4o$155bob3obo
bobobobobob3obo$154b3obbo5bobo5bobb3o$153boobbo7bobo7bobboo$77boo73boo
3bo4bo7bo4bo3boo$78boo82bobo3bobo$77bo84bobbobobbo$155boo6boo3boo6boo$
150b3obbo21bobb3o$152bo3boo4bo7bo4boo3bo$152bo3bobo15bobo3bo$153bo3b3o
13b3o3bo$154boo4bo11bo4boo$157boobbo9bobboo$155bo21bo$157bobobo9bobobo
$155bobobo13bobobo$154bobbobb3o7b3obbobbo$154bobo9bo9bobo$154bobbobbo
4b3o4bobbobbo$158bo4bob3obo4bo$154bo6bobo5bobo6bo$153bo7boboo3boobo7bo
$154bo3boobob7oboboo3bo$165b3o$159bo13bo$$158bo15bo13bo11bo$158boobob
oobobooboboo12b3o9b3o$158bo15bo11bobboo7boobbo$158bobo11bobo10bo3bobo
5bobo3bo$116bo40bo3bo9bo3bo8boobooboo5boobooboo$116boo40bobbo9bobbo9b
4o3bo5bo3b4o$115bobo38bo3bo11bo3bo7bo3b4obobob4o3bo$159bo13bo14bo11bo$
156bo19bo6bobo3boobbobobboo3bobo$156b3o15b3o7bo4bobo5bobo4bo$158b3o11b
3o$159bo12boo13boobo7boboo$159b3o25b5o5b5o$161bo24boo4bo3bo4boo$159b3o
27b4o3b4o$159bo23bob3obobobobobobob3obo$158booboo19b3obbo5bobo5bobb3o$
181boobbo7bobo7bobboo$158bo3bo17boo3bo4bo7bo4bo3boo$159b3o28bobo3bobo$
190bobbobobbo$183bo7boo3boo7bo$120bo11bo27bo18boboo23boobo$118booboo7b
ooboo25bo18b4o7bo7bo7b4o$118booboo7booboo25bo16boobo27boboo$117bo3boo
7boo3bo40bobbo29bobbo$117b3o13b3o21bo5bo12boobbo27bobboo$120b3obooboob
3o23bobo3bobo13b3o27b3o$116b3o5booboo5b3o19boo5boo14boo27boo$115bo5boo
7boo5bo$114bo6boobbobobboo6bo38bo33bo$120b3obbobobb3o43b3o31b3o$114bo
6bo9bo6bo38boo3b3o9b3o13boo$115boo5bo7bo5boo35b3o5bo3bo7bo3bo15b3o$
119boobboo3boobboo38bo7bobo3bo5bo3bobo17bo$119b5o5b5o38bobbo4bo3boo7b
oo3bo14bobbo$117bo7bobo7bo27boo6bo8b3o3bo5bo3b3o18bo$116bobbo3b3ob3o3b
obbo26boo5b3o6bo3boob3ob3oboo3bo16b3o$113b3o21b3o39boobbo3booboo3bobb
oo$113booboobobbobbobobbobbobooboo33bo4b3o3b5ob5o3b3o14bo$113b3o6bobbo
bobbo6b3o34bo11bo5bo21bo$113b3o7bo5bo7b3o32b3o8bo11bo18b3o$111booboo6b
oo5boo6booboo31bo4bo4bo11bo4bo14bo$111b4o7boo5boo7b4o30boo4bo4b4o5b4o
4bo14boo$122bo7bo41bo9bo4bo3bo4bo$124bo3bo27boo5boo4b4o8boob3o5b3oboo$
109b3o12bo3bo12b3o12boo5boo3boobo9boobo3bobo3boboo$108bo3bo27bo3bo22bo
bbo6b3o7booboo7b3o$107bo3boo27boo3bo22boo6bo3boo4bobobobo4boo3bo$110bo
31bo25boo5bo3bo19bo3bo$106bo39bo25bobbo9b3o3b3o9bo$107bobo33bobo33bo6b
oo3boo6bo$109bo33bo30bo12bo3bo12bo$108boo33boo29bobboo5bo9bo5boobbo$
107b3o33b3o10boo17boo8bo7bo8boo$105boobo35boboo8boo15bo12bo5bo12bo$
105bobbo35bobbo24b3o29b3o$104bo43bo22boobbo27bobboo$103b3o41b3o24boo
27boo$102bo47bo23bo29bo$102boboo41boobo$104boo41boo22bo35bo$101bobboo
41boobbo20boo31boo$156boo12bobbo31bobbo$103bobo41bobo6boo11bo39bo$104b
o43bo19boo39boo$167b4o37b4o$149b3o14bo45bo$149boboo13b3o41b3o$148boobo
13bo47bo$148b3o16boo41boo$148bobo18bo39bo$149b4o14boo41boo$151boo15bo
41bo$167bo43bo$167bo43bo$165boo$163boobo$163bo$163boo$164bo3bo$167bo$
163bobbo$163bo6$162boo$161bobo$163bo81$277b3o$279bo$278bo!

The convoy is a filter instead of a general period multiplier since it does nothing useful for glider streams whose periods already have a factor of three.

But here is a true period tripling convoy.

Code: Select all

#C An orthogonal 3c/7 convoy to triple the period of a glider stream.
#C This works for glider streams whose periods already are a
#C multiple of three, and at least as large as 105.  This is shown
#C here ready to emit a glider when it receives the first one.
#C The output gliders can be emitted in the other direction by
#C repositioning the right rear spaceship.
#C David I. Bell, 30 October 2026
x = 182, y = 412, rule = B3/S23
122b3o9b3o$122bobbo7bobbo$90bo30boo13boo$91bo27boobo3bo5bo3boboo$89b3o
30b3oboo3boob3o$118bo21bo$119bobob5o3b5obobo$119bo3bobboo3boobbo3bo$
119bo3b3o7b3o3bo$119bo4bo9bo4bo$123b3o7b3o$122bobboo5boobbo$125boo5boo
$121boo4bo3bo4boo$120bo3bo3bobo3bo3bo$117boob3obobobobobobob3oboo$116b
o5boo4bobo4boo5bo$115bo4boo15boo4bo$115b3o8bo5bo8b3o$124boo7boo$125bo
bbobobbo$114bo3boo6boo3boo6boo3bo$114boobbobo5bo5bo5bobobboo$115boob3o
17b3oboo$115boobbobbo13bobbobboo$116b7o13b7o$117bobo3bo11bo3bobo$117b
3o19b3o$119boobbo11bobboo$123bo11bo14b3o9b3o$120bobobbo7bobbobo11bobbo
7bobbo$117bobbooboo9booboobbo7boo13boo$116booboobbo4b3o4bobbooboo4boob
o3bo5bo3boboo$118bobo6bo3bo6bobo9b3oboo3boob3o$125bobbobobbo12bo21bo$
126bob3obo14bobob5o3b5obobo$116boo6bo4bo4bo6boo4bo3bobboo3boobbo3bo$
123bobbo5bobbo11bo3b3o7b3o3bo$121b3o11b3o9bo4bo9bo4bo$129bo21b3o7b3o$
150bobboo5boobbo$121boo13boo15boo5boo$120b3o13b3o10boo4bo3bo4boo$120b
oobo11boboo9bo3bo3bobo3bo3bo$120b3o13b3o6boob3obobobobobobob3oboo$120b
5o9b5o5bo5boo4bobo4boo5bo$120bobboo9boobbo4bo4boo15boo4bo$122boo11boo
6b3o8bo5bo8b3o$64b3o9b3o73boo7boo$63bo3bo7bo3bo39bobo15bobo13bobbobobb
o$62bobo3bo5bo3bobo38bobo15bobo5bo8boo3boo8bo$62bo3boo7boo3bo42bo11bo
6bo3bo7bo5bo7bo3bo$62b3o3bo5bo3b3o43bo10bobo7bo23bo$61bo3boob3ob3oboo
3bo40bobo15boo31boo$61boobbo3booboo3bobboo43bo13bobboo27boobbo$60b3o3b
5ob5o3b3o39bobo14boobbo27bobboo$68bo5bo50bo14boobbo25bobboo$65bo11bo
43b3o17bobo27bobo$60bo4bo11bo4bo38booboo$60bo4b4o5b4o4bo39b3o14b3o31b
3o$64bo4bo3bo4bo43b3o14bo35bo$63boob3o5b3oboo43bo13boobbo31bobboo$63b
oobo3bobo3boboo56boo39boo$59b3o7booboo7b3o51bobbo37bobbo$58bo3boo4bobo
bobo4boo3bo49boo43boo$57bo3bo19bo3bo34b3ob3o6bo10bo11bo24bo$57bo9b3o3b
3o9bo33booboboboo5b3o7b3o9b3o21b3o$61bo6boo3boo6bo52boo6bobboo7boobbo
20boo$56bo3bo8bo3bo8bo3bo54bo3bobo5bobo3bo$56bo3bo5bo9bo5bo3bo48bobobb
oobooboo5boobooboo16bobo$56bo4boo4bo7bo4boo4bo48bobobb4o3bo5bo3b4o16bo
bo$58bo4bo4bo5bo4bo4bo55bo3b4obobob4o3bo$58bo3boo15boo3bo50boo7bo11bo
21boo$59boo3bo13bo3boo49bo5bobo3boobbobobboo3bobo$60b6o11b6o36boo5boo
3boobbo4bo4bobo5bobo4bo$60boo3boo9boo3boo36boo5boo3bo3bo$26bo11bo23bob
3o9b3obo49bobbo9boobo7boboo$25b3o9b3o20b3obo13bob3o47bobbo9b5o5b5o$27b
o9bo22bo4boo9boo4bo48boo9boo4bo3bo4boo$23boboo11boobo17bobo4boo7boo4bo
bo61b4o3b4o$23bo4b3o3b3o4bo18bo4b3obb3obb3o4bo56bob3obobobobobobob3obo
$22bob3ob3o3b3ob3obo17boobobboobo3boboobboboo55b3obbo5bobo5bobb3o$59b
6obo9bob6o53boobbo7bobo7bobboo$21b3ob4obo3bob4ob3o14bo3b4obbo5bobb4o3b
o34boo15boo3bo4bo7bo4bo3boo$21boo7bo3bo7boo14bobo5boboo3boobo5bobo34b
oo25bobo3bobo$21b3obboboo5boobobb3o22bo3b3o3bo69bobbobobbo$65b4o5b4o
61bo7boo3boo7bo$26bobbo5bobbo25b15o56boboo23boobo$26bo11bo24bob13obo
55b4o7bo7bo7b4o$24boobbobo3bobobboo23bobo4bo4bobo54boobo27boboo$24bo3b
3o3b3o3bo22bo15bo52bobbo29bobbo$22boo4bobbobobbo4boo20b3o11b3o52boobbo
27bobboo$20bobooboboobbobobbooboboobo20bo11bo41boo13b3o27b3o$19boobo3b
o3bo3bo3bo3boboo15boboobo9boboobo37boo14boo27boo$18bobo3boo13boo3bobo
15boobo11boboo$18boo8bo7bo8boo15boo15boo52bo33bo$19bo7b3o5b3o7bo15boo
17boo50b3o31b3o$27boobo3boboo24bo17bo52boo31boo$28b3o3b3o27boo11boo50b
3o37b3o$20boo7boo3boo7boo19bo13bo49bo43bo$16bo31bo16bo62bobbo37bobbo$
15b3o29b3o15boo52boo6bo45bo$14bobboo27boobbo13boo53boo5b3o43b3o$14bo3b
oo25boo3bo45b3o9b3o$14boboboo25boobobo13bobo29bobo9bobo18bo41bo$15b3o
29b3o13booboo27bobbo9bobbo18bo39bo$16boo29boo14booboo27bob4o5b4obo16b
3o39b3o$14boo33boo14bo27boo4bobo3bobo4boo15bo41bo$14bobo31bobo43b3oboo
bo3boboob3o15boo41boo$11b3o37b3o38bo8bo3bo8bo13bo$11bo41bo38bobobboobo
5boboobbobo4boo4b4o$9boobo39boboo35bo3boo4bo3bo4boo3bo3boo3boobo$9boo
43boo7bo3bo24bobo5bo5bo5bobo8bobbo$8bo47bo5b7o24bo4b3o5b3o4bo10boo$8bo
bo43bobo5bobbobbo55boo$8bobo43bobo6booboo29boobo5boboo18bo$9b3o41b3o6b
3ob3o26booboobo3bobooboo$62booboboo26booboobooboobooboo$63bo3bo24boo8b
obo8boo$10bo43bo8booboo22boo3bob6ob6obo3boo$33b3o9b3o14b7o22bobo3boo9b
oo3bobo$32bo3bo7bo3bo12bobo3bobo19boboo3bo13bo3boobo$31bobo3bo5bo3bobo
11boo5boo19bobo6b3o5b3o6bobo$31bo3boo7boo3bo39boo25boo$31b3o3bo5bo3b3o
51bo3bo$30bo3boob3ob3oboo3bo47bo3bobo3bo$30boobbo3booboo3bobboo48bobo
3bobo$29b3o3b5ob5o3b3o34b3o29b3o$37bo5bo42bobbo27bobbo$34bo11bo38bo4bo
25bo4bo$29bo4bo11bo4bo9boo5boo14boo35boo$29bo4b4o5b4o4bo9boo5boo15bobo
bbo25bobbobo$33bo4bo3bo4bo$32boob3o5b3oboo36bobbo29bobbo$32boobo3bobo
3boboo36bobbo29bobbo$28b3o7booboo7b3o30bobo35bobo$27bo3boo4bobobobo4b
oo3bo28b3o37b3o$26bo3bo19bo3bo29bo37bo$26bo9b3o3b3o9bo25bo45bo$30bo6b
oo3boo6bo10boo5boo9boboo41boobo$25bo12bo3bo12bo5boo5boo9bobo43bobo$25b
obboo5bo9bo5boobbo22boo47boo$26boo8bo7bo8boo24bo47bo$30bo6bo5bo6bo29b
3o41b3o$30boo17boo30bo43bo$31bo17bo$40bo$28b3o8bobo8b3o$27bo6b3obo3bob
3o6bo7boo5boo$27boo5bob3o3b3obo5boo7boo5boo$25bo7bo13bo7bo$27b3oboboo
11boobob3o$33boo11boo49bo11bo$25b3oboobbobbo7bobbobboob3o40b3o9b3o$32b
o4boo3boo4bo49bo9bo$30bo19bo43boboo11boobo$32bobo11bobo45bo4b3o3b3o4bo
$35bo9bo15boo5boo23bob3ob3o3b3ob3obo$33bo13bo13boo5boo$34bo11bo45b3ob
4obo3bob4ob3o$92boo7bo3bo7boo$92b3obboboo5boobobb3o$17b3o9b3o$16bo3bo
7bo3bo64bobbo5bobbo$15bobo3bo5bo3bobo63bo11bo$15bo3boo7boo3bo61boobbob
o3bobobboo$15b3o3bo5bo3b3o27boo5boo25bo3b3o3b3o3bo$14bo3boob3ob3oboo3b
o26boo5boo23boo4bobbobobbo4boo$14boobbo3booboo3bobboo56bobooboboobbobo
bbooboboobo$13b3o3b5ob5o3b3o54boobo3bo3bo3bo3bo3boboo$21bo5bo61bobo3b
oo13boo3bobo$18bo11bo58boo8bo7bo8boo$13bo4bo11bo4bo54bo7b3o5b3o7bo$13b
o4b4o5b4o4bo62boobo3boboo$17bo4bo3bo4bo67b3o3b3o$16boob3o5b3oboo28boo
5boo21boo7boo3boo7boo$16boobo3bobo3boboo28boo5boo17bo31bo$12b3o7booboo
7b3o49b3o29b3o$11bo3boo4bobobobo4boo3bo47bobboo27boobbo$10bo3bo19bo3bo
46bo3boo25boo3bo$10bo9b3o3b3o9bo46boboboo25boobobo$14bo6boo3boo6bo51b
3o29b3o$9bo12bo3bo12bo47boo29boo$9bobboo5bo9bo5boobbo45boo33boo$10boo
8bo7bo8boo22boo5boo15bobo31bobo$8bo12bo5bo12bo20boo5boo12b3o37b3o$7b3o
29b3o40bo41bo$6boobbo27bobboo37boobo39boboo$9boo27boo40boo43boo$9bo29b
o39bo47bo$79bobo43bobo$6bo35bo36bobo43bobo$7boo31boo38b3o41b3o$5bobbo
31bobbo17boo5boo$4bo39bo16boo5boo$3boo39boo35bo43bo$bb4o37b4o$bo45bo$b
3o41b3o$o47bo$bboo41boo$4bo39bo$bboo41boo14boo5boo$3bo41bo15boo5boo$bb
o43bo$bbo43bo6$61boo5boo$61boo5boo8$61boo5boo$61boo5boo5$36bo11bo$34b
ooboo7booboo$34booboo7booboo$33bo3boo7boo3bo9boo5boo$33b3o13b3o9boo5b
oo36b3o9b3o$36b3obooboob3o56bo3bo7bo3bo$32b3o5booboo5b3o51bobo3bo5bo3b
obo$31bo5boo7boo5bo50bo3boo7boo3bo$30bo6boobbobobboo6bo49b3o3bo5bo3b3o
$36b3obbobobb3o54bo3boob3ob3oboo3bo$30bo6bo9bo6bo48boobbo3booboo3bobb
oo$31boo5bo7bo5boo48b3o3b5ob5o3b3o$35boobboo3boobboo11boo5boo40bo5bo$
35b5o5b5o11boo5boo37bo11bo$33bo7bobo7bo50bo4bo11bo4bo$32bobbo3b3ob3o3b
obbo49bo4b4o5b4o4bo$29b3o21b3o50bo4bo3bo4bo$29booboobobbobbobobbobbob
ooboo49boob3o5b3oboo$29b3o6bobbobobbo6b3o49boobo3bobo3boboo$29b3o7bo5b
o7b3o45b3o7booboo7b3o$27booboo6boo5boo6booboo42bo3boo4bobobobo4boo3bo$
27b4o7boo5boo7b4o3boo5boo29bo3bo19bo3bo$38bo7bo14boo5boo29bo9b3o3b3o9b
o$40bo3bo58bo6boo3boo6bo$31b3o6bo3bo6b3o44bo12bo3bo12bo$33bo17bo46bobb
oo5bo9bo5boobbo$29bo25bo43boo8bo7bo8boo$29bobbo8b3o8bobbo41bo12bo5bo
12bo$31boo4bo3b3o3bo4boo42b3o29b3o$29booboobb3obobobob3obbooboo39boobb
o27bobboo$28bobb3obbobobbobobbobobb3obbo4boo5boo28boo27boo$27b3oboo3b
3obooboob3o3boob3o3boo5boo28bo29bo$27boo7bob9obo7boo$28bob3o3boboobobo
boobo3b3obo38bo35bo$32b3o5bo3bo5b3o43boo31boo$33bo17bo42bobbo31bobbo$
34b3o11b3o42bo39bo$35boo11boo42boo39boo$35bobo9bobo41b4o37b4o$61boo5b
oo20bo45bo$37bo9bo13boo5boo20b3o41b3o$36bo11bo40bo47bo$91boo41boo$93bo
39bo$91boo41boo$92bo41bo$91bo43bo$91bo43bo$61boo5boo19boo$61boo5boo17b
oobo$87bo$87boo$25bo11bo50bo3bobb3o9b3o$24b3o9b3o52bo3bobo9bobo$23bobb
oo7boobbo47bobbo3bobbo9bobbo$22bo3bobo5bobo3bo46bo6bob4o5b4obo$21boob
ooboo5boobooboo50boo4bobo3bobo4boo$21b4o3bo5bo3b4o19boo5boo23b3oboobo
3boboob3o$21bo3b4obobob4o3bo19boo5boo21bo8bo3bo8bo$25bo11bo53bobobboob
o5boboobbobo$20bobo3boobbobobboo3bobo47bo3boo4bo3bo4boo3bo$21bo4bobo5b
obo4bo49bobo5bo5bo5bobo$92bo4b3o5b3o4bo$24boobo7boboo$24b5o5b5o57boobo
5boboo$23boo4bo3bo4boo54booboobo3bobooboo$26b4o3b4o24boo5boo24booboob
ooboobooboo$20bob3obobobobobobob3obo18boo5boo21boo8bobo8boo$19b3obbo5b
obo5bobb3o45boo3bob6ob6obo3boo$18boobbo7bobo7bobboo45bobo3boo9boo3bobo
$17boo3bo4bo7bo4bo3boo42boboo3bo13bo3boobo$27bobo3bobo52bobo6b3o5b3o6b
obo$27bobbobobbo52boo25boo$20bo7boo3boo7bo57bo3bo$16boboo23boobo50bo3b
obo3bo$16b4o7bo7bo7b4o14boo5boo28bobo3bobo$14boobo27boboo12boo5boo15b
3o29b3o$13bobbo8bo11bo8bobbo35bobbo27bobbo$13boobbo6b3o9b3o6bobboo34bo
4bo25bo4bo$15b3o8bo9bo8b3o35boo35boo$16boo4boboo11boobo4boo37bobobbo3b
o11bo9bobbobo$22bo4b3o3b3o4bo51b3o9b3o$14bo6bob3ob3o3b3ob3obo6bo35bobb
o6bo9bo12bobbo$13b3o31b3o34bobbobboboo11boobo8bobbo$14boo4b3ob4obo3bob
4ob3o4boo12boo5boo12bobo5bo4b3o3b3o4bo11bobo$10b3o7boo7bo3bo7boo7b3o8b
oo5boo11b3o5bob3ob3o3b3ob3obo11b3o$9bo10b3obboboo5boobobb3o10bo29bo37b
o$9bobbo37bobbo25bo8b3ob4obo3bob4ob3o14bo$8bo16bobbo5bobbo16bo23boboo
6boo7bo3bo7boo12boobo$7b3o15bo11bo15b3o22bobo7b3obboboo5boobobb3o13bob
o$23boobbobo3bobobboo37boo47boo$10bo12bo3b3o3b3o3bo12bo25bo14bobbo5bo
bbo20bo$11bo9boo4bobbobobbo4boo9bo27b3o11bo11bo17b3o$9b3o7bobooboboobb
obobbooboboobo7b3o7boo5boo10bo10boobbobo3bobobboo16bo$10bo7boobo3bo3bo
3bo3bo3boboo7bo8boo5boo21bo3b3o3b3o3bo$9boo6bobo3boo13boo3bobo6boo35b
oo4bobbobobbo4boo$17boo8bo7bo8boo33bobo5bobooboboobbobobbooboboobo$18b
o7b3o5b3o7bo31booboo5boobo3bo3bo3bo3bo3boboo$26boobo3boboo38bobobo5bob
o3boo13boo3bobo$27b3o3b3o43boo4boo8bo7bo8boo$19boo7boo3boo7boo30bobbob
o6bo7b3o5b3o7bo$15bo31bo27bobbo15boobo3boboo$14b3o29b3o12boo5boo6boo
17b3o3b3o$13bobboo27boobbo11boo5boo17boo7boo3boo7boo$13bo3boo25boo3bo
33bo31bo$13boboboo25boobobo32b3o29b3o$14b3o29b3o32bobboo27boobbo$15boo
29boo33bo3boo25boo3bo$13boo14bo11bo6boo31boboboo25boobobo$13bobo11boob
oo7booboo3bobo32b3o29b3o$10b3o14booboo7booboo6b3o30boo29boo$10bo15bo3b
oo7boo3bo7bo8boo5boo11boo33boo$8boobo14b3o13b3o6boboo6boo5boo11bobo31b
obo$8boo19b3obooboob3o11boo23b3o37b3o$7bo17b3o5booboo5b3o9bo22bo41bo$
7bobo14bo5boo7boo5bo6bobo20boobo39boboo$7bobo13bo6boobbobobboo6bo5bobo
20boo43boo$8b3o18b3obbobobb3o10b3o20bo47bo$23bo6bo9bo6bo27bobo43bobo$
24boo5bo7bo5boo28bobo43bobo$9bo18boobboo3boobboo10bo7boo5boo6b3o41b3o$
28b5o5b5o18boo5boo$26bo7bobo7bo7b3obo$25bobbo3b3ob3o3bobbo8boboo19bo
43bo$22b3o21b3o5bobboo$22booboobobbobbobobbobbobooboo5bob3o15bob3o$22b
3o6bobbobobbo6b3o6bobbo14boobo$22b3o7bo5bo7b3o7boo14boobbo$20booboo6b
oo5boo6booboo21b3obo$20b4o7boo5boo7b4o21bobbo$31bo7bo33boo$33bo3bo$18b
3o12bo3bo12b3o$17bo3bo27bo3bo$16bo3boo7b3o9b3o5boo3bo35b3o9b3o$19bo9bo
bo9bobo7bo37bo3bo7bo3bo$15bo12bobbo9bobbo10bo32bobo3bo5bo3bobo$16bobo
9bob4o5b4obo7bobo33bo3boo7boo3bo$18bo7boo4bobo3bobo4boo5bo35b3o3bo5bo
3b3o$17boo8b3oboobo3boboob3o6boo33bo3boob3ob3oboo3bo$16b3o6bo8bo3bo8bo
4b3o32boobbo3booboo3bobboo$14boobo7bobobboobo5boboobbobo5boboo29b3o3b
5ob5o3b3o$14bobbo6bo3boo4bo3bo4boo3bo4bobbo37bo5bo$13bo11bobo5bo5bo5bo
bo9bo33bo11bo$12b3o11bo4b3o5b3o4bo9b3o27bo4bo11bo4bo$11bo47bo26bo4b4o
5b4o4bo$11boboo15boobo5boboo13boobo30bo4bo3bo4bo$13boo13booboobo3boboo
boo11boo31boob3o5b3oboo$10bobboo13booboobooboobooboo11boobbo28boobo3bo
bo3boboo$25boo8bobo8boo37b3o7booboo7b3o$12bobo8boo3bob6ob6obo3boo6bobo
25bo3boo4bobobobo4boo3bo$13bo10bobo3boo9boo3bobo8bo25bo3bo19bo3bo$22bo
boo3bo13bo3boobo32bo9b3o3b3o9bo$22bobo6b3o5b3o6bobo36bo6boo3boo6bo$22b
oo25boo31bo12bo3bo12bo$34bo3bo43bobboo5bo9bo5boobbo$31bo3bobo3bo41boo
8bo7bo8boo$32bobo3bobo40bo12bo5bo12bo$19b3o29b3o26b3o29b3o$19bobbo27bo
bbo25boobbo27bobboo$18bo4bo25bo4bo27boo27boo$17boo35boo26bo29bo$18bobo
bbo25bobbobo$79bo35bo$18bobbo29bobbo25boo31boo$18bobbo29bobbo23bobbo
31bobbo$16bobo35bobo20bo39bo$15b3o37b3o18boo39boo$17bo37bo19b4o37b4o$
13bo45bo14bo45bo$12boboo41boobo13b3o41b3o$12bobo43bobo12bo47bo$11boo
47boo13boo41boo$12bo47bo16bo39bo$13b3o41b3o15boo41boo$14bo43bo17bo41bo
$75bo43bo$75bo43bo$57bobo13boo$58booboo8boobo$59bobobo7bo$58boo11boo$
59bobobbo7bo3bo$60bobbo11bo$61boo8bobbo$71bo!

Here is an example of it being used.

Code: Select all

#C An orthogonal 3c/7 period 378 (2 * 27 * 7) forward glider rake.
#C This uses a period 126 (2 * 9 * 7) backward rake and a convoy
#C which multiplies the period by three.
#C David I. Bell, 30 October 2026
x = 428, y = 1009, rule = B3/S23
76bo11bo$74booboo7booboo$74booboo7booboo$73bo3boo7boo3bo$73b3o13b3o$
76b3obooboob3o$72b3o5booboo5b3o$71bo5boo7boo5bo$70bo6boobbobobboo6bo$
76b3obbobobb3o$70bo6bo9bo6bo$71boo5bo7bo5boo$75boobboo3boobboo$75b5o5b
5o$73bo7bobo7bo$72bobbo3b3ob3o3bobbo$69b3o21b3o$69booboobobbobbobobbo
bbobooboo$69b3o6bobbobobbo6b3o$69b3o7bo5bo7b3o$67booboo6boo5boo6booboo
$67b3o8boo5boo8b3o$69bobbo5bo7bo5bobbo$67bob5o6bo3bo6b5obo$67boboboboo
5bo3bo5boobobobo$71bo3bo13bo3bo$72b4o13b4o$72bo3bo11bo3bo$72boboboo9b
oobobo$$71boo3boo9boo3boo$70bo6bo9bo6bo$70bobo4bo4bo4bo4bobo$48b3o9b3o
14bo3b3o3bo$48bobbo7bobbo9b4obobbooboobbob4o$47boo13boo5b3o4bo3booboo
3bo4b3o$45boobo3bo5bo3boboo4boo8booboo8boo$48b3oboo3boob3o14boo3bo3boo
$44bo21bo9bo11bo$45bobob5o3b5obobo9bo3boo3boo3bo$45bo3bobboo3boobbo3bo
8bobboobb3obboobbo$45bo3b3o7b3o3bo8bobo11bobo$45bo4bo9bo4bo$49b3o7b3o
12boo13boo$48bobboo5boobbo12boo11boo$51boo5boo12bobbo13bobbo$47boo4bo
3bo4boo7bobobboo9boobbobo$46bo3bo3bobo3bo3bo8bo17bo$43boob3obobobobobo
bob3oboo4boo17boo$42bo5boo4bobo4boo5bo8bo9bo$41bo4boo15boo4bo4bobo11bo
bo$41b3o8bo5bo8b3o5bo13bo$50boo7boo$51bobbobobbo16boo$43bo8boo3boo8bo
8bobo$52bo5bo17bo$41bobboo19boobbo5b3o$42boobbo17bobboo6bobo$44bobbo
15bobbo7bobbo$75bobo$43bobbo7b3o7bobbo$43b3o4bobbo3bobbo4b3o$41bobbo3b
oobobo3boboboo3bobbo6bo$41bobo3bo3bobooboobo3bo3bobo6bo$41bobbobboob3o
5b3oboobbobbo6bo$49bobo7bobo$48boo11boo7bo8bo$45b5obo7bob5o3bo4bo3bobo
$45boobbo11bobboo3b3o7boo$23bo11bo10boo15boo$22b3o9b3o10b3o11b3o$21bo
bboo7boobbo10boo11boo$20bo3bobo5bobo3bo9boo11boo12bo$19boobooboo5boob
ooboo34bobo$19b4o3bo5bo3b4o34bobo$19bo3b4obobob4o3bo35bo$23bo11bo43boo
$18bobo3boobbobobboo3bobo38boo$19bo4bobo5bobo4bo$$22boobo7boboo$22b5o
5b5o27bobo8bo$21boo4bo3bo4boo26boo8bobo$24b4o3b4o30bo8bobo$18bob3obobo
bobobobob3obo34bo$17b3obbo5bobo5bobb3o37boo$16boobbo7bobo7bobboo36boo$
15boo3bo4bo7bo4bo3boo$25bobo3bobo$25bobbobobbo$18boo6boo3boo6boo34bo$
13b3obbo21bobb3o28bobo$15bo3boo4bo7bo4boo3bo30bobo$15bo3bobo15bobo3bo
31bo$16bo3b3o13b3o3bo36boo$17boo4bo11bo4boo17bo19boo$20boobbo9bobboo
20bobo$18bo21bo18boo$20bobobo9bobobo$18bobobo13bobobo34bo$17bobbobb3o
7b3obbobbo32bobo$17bobo9bo9bobo32bobo$17bobbobbo4b3o4bobbobbo33bo$21bo
4bob3obo4bo41boo$17bo6bobo5bobo6bo37boo$16bo7boboo3boobo7bo$17bo3boobo
b7oboboo3bo$28b3o$22bo13bo38bo$55bo18bobo$21bo15bo15boo19bobo$21boobob
oobobooboboo16boo19bo$21bo15bo41boo$21bobo11bobo41boo$20bo3bo9bo3bo$
21bobbo9bobbo$19bo3bo11bo3bo$22bo13bo38bo$19bo19bo34bobo$19b3o15b3o34b
obo$21b3o11b3o37bo$22boo12bo42boo$34b3o42boo$10bo7bo15bo14bo$9b3o5b3o
14b3o11bo$8bobboo3boobbo15bo11b3o$7boob9oboo11booboo37bo$8boboo5boobo
53bobo$7b3oboo3boob3o11bo3bo36bobo$7b3o4bo4b3o12b3o38bo$10bo7bo60boo$
7bobbo7bobbo13bo43boo$6bobo11bobo11bobo$7boobo7boboo11bo3bo$9boo7boo
13booboo$10bo7bo14booboo37bo$9bobo5bobo14bobo37bobo$8bo3bo3bo3bo14bo
38bobo$8bobbo5bobbo22bobo29bo$8bobboo3boobbo11bo5bo4boo34boo$8booboo3b
ooboo10bobo3bobo4bo34boo$9bo9bo11boo5boo$8bo11bo$6bobo11bobo$5boobobbo
5bobboboo51bo$4bobo15bobo49bobo$3bo6boo5boo6bo48bobo$4boobobobbo3bobbo
boboo50bo$5bobobobo5bobobobo55boo$7b3o9b3o9boo14boo30boo$6bobo11bobo8b
oo11b3oboo$5bo3bo9bo3bo20b5o$5bo4bo7bo4bo21b3o45bo11bo$11bo5bo57bo15b
ooboo7booboo$5b3obbo7bobb3o50bobo14booboo7booboo$10bo7bo55bobo13bo3boo
7boo3bo$10bobo3bobo56bo14b3o13b3o$8bobobooboobobo58boo12b3obooboob3o$b
4o3bo4bobo4bo3b4o3boo22b5o19boo8b3o5booboo5b3o$obboo6boo3boo6boobbobb
oo21bo4bo28bo5boo7boo5bo$7bo4bo3bo4bo37bo27bo6boobbobobboo6bo$oobobob
oo11booboboboo25bo3bo34b3obbobobb3o$bbo23bo29bo18bo11bo6bo9bo6bo$4b4ob
o9bob4o49bobo11boo5bo7bo5boo$6bobbo9bobbo51bobo15boobboo3boobboo$8bo
11bo54bo16b5o5b5o$4bobo15bobo41b3o10boo9bo7bobo7bo$bboo21boo4boo32b5o
9boo8bobbo3b3ob3o3bobbo$31boo32b3oboo15b3o21b3o$bbobo19bobo41boo16boob
oobobbobbobobbobbobooboo$bobbo19bobbo58b3o6bobbobobbo6b3o$bobbo19bobbo
58b3o7bo5bo7b3o$bb3o8b3o8b3o48b3o6booboo6boo5boo6booboo$bb3o8b3o8b3o
48bobo6b3o8boo5boo8b3o$bboo8bo3bo8boo50boo7bobbo5bo7bo5bobbo$bb3ob5obo
3bob5ob3o48boob3o3bob5o6bo3bo6b5obo$3b3o6bo3bo6b3o49bo3boo3boboboboo5b
o3bo5boobobobo$5boo5b5o5boo64bo3bo13bo3bo$6bo4bobbobbo4bo66b4o13b4o$7b
obbo7bobbo67bo3bo11bo3bo$3bo4bobo7bobo4bo63boboboo9boobobo$3bobo17bobo
$3bobooboo9booboobo62boo3boo9boo3boo$7bobbo7bobbo65bo6bo9bo6bo$3bo21bo
61bobo4bo4bo4bo4bobo8bo11bo$3b3o3bo9bo3b3o68bo3b3o3bo14b3o9b3o$4bo19bo
52boo10b4obobbooboobbob4o11bo9bo$5bobbo11bobbo52bobbo6b3o4bo3booboo3bo
4b3o4boboo11boobo$4bo3bo11bo3bo52boo8boo8booboo8boo5bo4b3o3b3o4bo$4bo
3bo11bo3bo52boo15boo3bo3boo11bob3ob3o3b3ob3obo$9boo7boo53boobo16bo11bo
$5bo5bo5bo5bo49bobbo15bo3boo3boo3bo8b3ob4obo3bob4ob3o$6bo3boo5boo3bo
51b3o14bobboobb3obboobbo7boo7bo3bo7boo$7b3o9b3o32bo7bo16boo10bobo11bob
o7b3obboboo5boobobb3o$52booboo3booboo14boo$12booboo35booboo3booboo26b
oo13boo12bobbo5bobbo$11bo5bo37boo3boo12bobbo14boo11boo13bo11bo$51bo5b
3o5bo23bobbo13bobbo8boobbobo3bobobboo$51bo13bo6bo15bobobboo9boobbobo7b
o3b3o3b3o3bo$52bo11bo7bo17bo17bo7boo4bobbobobbo4boo$53boo7boo10bo14boo
17boo4bobooboboobbobobbooboboobo$50bobobobo3bobobobo7bobo17bo9bo8boobo
3bo3bo3bo3bo3boboo$50boboboo5boobobo8boo14bobo11bobo4bobo3boo13boo3bob
o$50bobo11bobo3boo20bo13bo5boo8bo7bo8boo$70boo41bo7b3o5b3o7bo$55bo5bo
42boo15boobo3boboo$54boo5boo14boo24bobo16b3o3b3o$52boo9boo12boo26bo9bo
7boo3boo7bo$52bo3bo3bo3bo39b3o6b4o19b4o$54bobbobobbo41bobo6boobbo17bo
bboo$54bobo3bobo41bobbo6bo23bo$53bo9bo14b3o23bobo19bo$51bo3bo5bo3bo14b
o33bobo8b3o8bobo$50b4o9b4o12bo33boobo3booboobobooboo3boboo$48boobobbo
7bobboboo47bobboobobo3boboboobbo$48boobb3o7b3obboo42booboobbo5booboo5b
obbooboo$51bobobbo3bobbobo47bo4b3o3bo3bo3b3o4bo$49bob3obbo3bobb3obo50b
o3boo5boo3bo$49bo4bo7bo4bo49bo17bo$116bo19bo$50bo15bo37boo14boo9boo$
50boobo9boboo36bobo10bo3bo11bo3bo$49bo3boo7boo3bo26boo16boo3bobbo11bo
bbo$95boo14boobo6bo9bo$49boo4bo5bo4boo7boo17bo14boo4bo3boo11boo$75boo
24boobbooboobbobbo$52booboo3booboo36bob4obbo5bo$46bo5boo3bobo3boo5bo
37bobbobbo$45boboo5bobo3bobo5boobo41bo$44boobbo3boobo5boboo3bobboo29bo
6boboo$46boboob6o3b6oboobo31b6obo$51bobbobo3bobobbo37boo$48bobobbo9bo
bbobo$46b3o3bo11bo3b3o$46b3obobo11bobob3o$47b3o17b3o$106boo$48bo19bo
37boo$46boo21boo33bo4bo$45bobbo19bobbo$45bobo21bobo32boboobo$46b3o19b
3o$57b3o$50bo5bo3bo5bo$46boo3bo4bobobo4bo3boo$44bobbobbooboob5obooboo
bbobbo$44bobbo3bobo9bobo3bobbo$52bo11bo38boo$49bo3boo7boo3bo$48bobobbo
bo5bobobbobo36bobo$48bo3bo11bo3bo34boobo$47bo21bo14b3o5b3o11boo$46b4o
bboo9boobb4o13bobbo3bobbo8boo3bo$46b4obbo11bobb4o11boo5bo5boo7b5o$50b
oo13boo15boo4b3o4boo9b3o$51bo13bo23bo$86boo3boo$50bobo11bobo15bo3bo5bo
3bo$49boo15boo14bobbo7bobbo$47bobo4bo7bo4bobo12bobo9bobo$48bo3bobo7bob
o3bo12bobo11bobo$51b3obo5bob3o16boobo7boboo$83boboo5boobo26boo$50boo4b
o3bo4boo19bo5bo30boo$54b3o3b3o21b3o5b3o27bo$55boo3boo21b5o3b5o$82b3obo
5bob3o$82boo11boo$83booboo3booboo$84boo7boo$82b3o9b3o$80booboo9booboo$
81bo15bo$79boboobboo5boobboobo$78bobbo3boo5boo3bobbo12boo$79boo3bobbo
3bobbo3boo13boo$79boobobo9boboboo$84boo7boo31b3o5b3o$81bo15bo28bobo5bo
bo$80boobbo9bobboo27bobo5bobo$85bo7bo30boboo3bo3boobo$80bo4boo5boo4bo
25boo4bobo4boo$81bo3boo5boo3bo30booboboo$81bobboo7boobbo29bo7bo$85bob
ooboobo33bobo3bobo18bo$77boo8booboo8boo21b5o7b5o14boo$76boobo4bo3bobo
3bo4boboo19bobbo11bobbo12bobo$76bobbo6b3ob3o6bobbo20bob3o7b3obo$75b4o
bb3obboo3boobb3obb4o21boboo5boobo$76boo3b3o11b3o3boo3boo16boobobo3bobo
boo$76b3o21b3o3boo16b3obo5bob3o$80b4o11b4o$81bobbo9bobbo30boo3boo$80bo
bo13bobo31bobo$78bo21bo26bo7bo109b3o9b3o$78bo21bo26boo5boo109bobbo7bo
bbo$77bo23bo22boo11boo105boo13boo$78bo21bo21boboo11boobo101boobo3bo5bo
3boboo$76booboo17booboo19boobboo7boobboo104b3oboo3boob3o$76bobboo8bo8b
oobbo19bobbobbo5bobbobbo100bo21bo$76bo3bo7bobo7bo3bo20bo4bo5bo4bo102bo
bob5o3b5obobo$76bo10bo3bo10bo20bobbobbo3bobbobbo102bo3bobboo3boobbo3bo
$76bo3bob3obooboboob3obo3bo17bo5bo9bo5bo99bo3b3o7b3o3bo$81b4obbooboobb
4o23bobo15bobo100bo4bo9bo4bo$77bo5boobbobobobboo5bo23bo11bo108b3o7b3o$
81bo4booboboo4bo23bo3bobo7bobo3bo103bobboo5boobbo$80b3o3booboboo3b3o
22bobbo3bo5bo3bobbo106boo5boo$82bob3o5b3obo25boobboo7boobboo44boo57boo
4bo3bo4boo$79bo4bo9bo4bo26bo9bo49boo55bo3bo3bobo3bo3bo$77boob4o11b4ob
oo83bo54boob3obobobobobobob3oboo$80b5o9b5o27b5ob5o102bo5boo4bobo4boo5b
o$79bob4o9b4obo19bo6booboobooboo6bo94bo4boo15boo4bo$78bo21bo17b3o7bo5b
o7b3o93b3o8bo5bo8b3o$78bobo17bobo17bobboo5bo5bo5boobbo102boo7boo$78bo
21bo19bo3b5o5b5o3bo105bobbobobbo$79boo17boo25boboo5boobo102bo8boo3boo
8bo$79boob3o9b3oboo19bo3bo15bo3bo93bo3bo7bo5bo7bo3bo$83bo11bo23boboobb
o11bobboobo96bo23bo$84boo7boo24bob4o13b4obo91boo31boo$84bobo5bobo27bo
17bo93bobboo27boobbo$81b6o5b6o136boobbo27bobboo$82b4o7b4o23bo21bo92boo
bbo25bobboo$83bo11bo23bobo19bobo92bobo27bobo$87bo3bo26bo25bo$87bo3bo
26bobbo19bobbo89b3o31b3o$122bo17bo93bo35bo$120bobbo6b3o6bobbo89boobbo
31bobboo$116bo4b4o4bo3bo4b4o4bo84boo39boo$117boboobo3boboo3boobo3boboo
bo84bobbo37bobbo$118bo5bob5ob5obo5bo72bo11boo43boo$128bo5bo82boo9bo47b
o$123bobboo7boobbo76bobo9b3o43b3o$122bobbobo7bobobbo88boo43boo$121boo
4boo5boo4boo$122boboboo7boobobo89bobo39bobo$120boboobobo7boboboobo87bo
bo21b3o9b3o3bobo$119boo21boo109bo3bo7bo3bo$120boo19boo87boo20bobo3bo5b
o3bobobboo$120b6o11b6o109bo3boo7boo3bo$119boob4o11b4oboo108b3o3bo5bo3b
3o$119boobobo13boboboo107bo3boob3ob3oboo3bo$120boboo15boobo108boobbo3b
ooboo3bobboo$120bo4boo9boo4bo107b3o3b5ob5o3b3o$121bo4bo9bo4bo116bo5bo$
122bo4bo7bo4bo114bo11bo$124b5o5b5o111bo4bo11bo4bo$124b3obo5bob3o111bo
4b4o5b4o4bo$123boobb3o3b3obboo114bo4bo3bo4bo$123bo15bo113boob3o5b3oboo
$124bo13bo114boobo3bobo3boboo$249b3o7booboo7b3o$248bo3boo4bobobobo4boo
3bo$247bo3bo19bo3bo$247bo9b3o3b3o9bo$251bo6boo3boo6bo$246bo12bo3bo12bo
$246bobboo5bo9bo5boobbo$247boo8bo7bo8boo$251bo6bo5bo6bo$251boo17boo$
252bo17bo$261bo$249b3o8bobo8b3o$248bo6b3obo3bob3o6bo$248boo5bob3o3b3ob
o5boo$246bo7bo13bo7bo$248b3oboboo11boobob3o$254boo11boo$228boo4boo3boo
5b3oboobbobbo7bobbobboob3o$228boo4boo3boo12bo4boo3boo4bo$251bo19bo$
253bobo11bobo$205b3o9b3o16b3o17bo9bo$205bobbo7bobbo15bo3bo14bo13bo$
204boo13boo13bo5bo14bo11bo$202boobo3bo5bo3boboo11bo$205b3oboo3boob3o
14boobo$201bo21bo5boo$202bobob5o3b5obobo6boo7bo$202bo3bobboo3boobbo3bo
15bo3bo$202bo3b3o7b3o3bo13b6o$202bo4bo9bo4bo13bo$206b3o7b3o$205bobboo
5boobbo$208boo5boo$204boo4bo3bo4boo19bo$203bo3bo3bobo3bo3bo18bo$200boo
b3obobobobobobob3oboo$199bo5boo4bobo4boo5bo$198bo4boo15boo4bo$198b3o8b
o5bo8b3o$207boo7boo$208bobbobobbo$200bo8boo3boo8bo$209bo5bo$198bobboo
19boobbo$199boobbo17bobboo$201bobbo15bobbo$$200bobbo7b3o7bobbo$200b3o
4bobbo3bobbo4b3o$198bobbo3boobobo3boboboo3bobbo$198bobo3bo3bobooboobo
3bo3bobo$198bobbobboob3o5b3oboobbobbo$206bobo7bobo$205boo11boo$202b5ob
o7bob5o$202boobbo11bobboo$203boo15boo$204b3o11b3o$205boo11boo$199b3o3b
oo4b3o4boo$198bo3bo7bo3bo$197bobo3bo5bo3bobo$197bo3boo7boo3bo$197b3o3b
o5bo3b3o$196bo3boob3ob3oboo3bo$196boobbo3booboo3bobboo$195b3o3b5ob5o3b
3o$203bo5bo$200bo11bo$195bo4bo11bo4bo$195bo4b4o5b4o4bo$199bo4bo3bo4bo$
198boob3o5b3oboo$198boobo3bobo3boboo$194b3o7booboo7b3o$193bo3boo4bobob
obo4boo3bo$192bo3bo19bo3bo14b3o$192bo9b3o3b3o9bo$196bo6boo3boo6bo$191b
o12bo3bo12bo$191bobboo5bo9bo5boobbo$192boo8bo7bo8boo$190bo12bo5bo12bo$
189b3o29b3o$188boobbo27bobboo$191boo27boo$191bo29bo$$188bo35bo$189boo
31boo26bobo$187bobbo31bobbo25boo$186bo39bo24bo$185boo39boo$184b4o37b4o
$183bo45bo$183b3o41b3o$182bo47bo$184boo41boo$186bo39bo$184boo41boo$
185bo41bo$184bo43bo$184bo43bo60b3o9b3o$229boo57bo3bo7bo3bo$229boboo54b
obo3bo5bo3bobo$232bo54bo3boo7boo3bo$231boo54b3o3bo5bo3b3o$227bo3bo54bo
3boob3ob3oboo3bo$228bo57boobbo3booboo3bobboo$229bobbo52b3o3b5ob5o3b3o$
232bo60bo5bo$290bo11bo$285bo4bo11bo4bo$285bo4b4o5b4o4bo$289bo4bo3bo4bo
$288boob3o5b3oboo$288boobo3bobo3boboo$284b3o7booboo7b3o$283bo3boo4bobo
bobo4boo3bo$282bo3bo19bo3bo$282bo9b3o3b3o9bo$286bo6boo3boo6bo$281bo3bo
8bo3bo8bo3bo$281bo3bo5bo9bo5bo3bo$281bo4boo4bo7bo4boo4bo$283bo4bo4bo5b
o4bo4bo$283bo3boo15boo3bo$284boo3bo13bo3boo$285b6o11b6o$285boo3boo9boo
3boo$287bob3o9b3obo$285b3obo13bob3o9b3o9b3o$285bo4boo9boo4bo8bo3bo7bo
3bo$284bobo4boo7boo4bobo6bobo3bo5bo3bobo$285bo4b3obb3obb3o4bo7bo3boo7b
oo3bo$285boobobboobo3boboobboboo7b3o3bo5bo3b3o$284b6obo9bob6o5bo3boob
3ob3oboo3bo$283bo3b4obbo5bobb4o3bo4boobbo3booboo3bobboo$283bobo5boboo
3boobo5bobo3b3o3b5ob5o3b3o$291bo3b3o3bo19bo5bo$290b4o5b4o15bo11bo$289b
15o9bo4bo11bo4bo$288bob13obo8bo4b4o5b4o4bo$289bobo4bo4bobo13bo4bo3bo4b
o$288bo15bo11boob3o5b3oboo$288b3o11b3o11boobo3bobo3boboo$290bo11bo9b3o
7booboo7b3o$286boboobo9boboobo4bo3boo4bobobobo4boo3bo$287boobo11boboo
4bo3bo19bo3bo$232bo11bo42boo15boo4bo9b3o3b3o9bo$231bobo9bobo40boo17boo
7bo6boo3boo6bo$230booboo7booboo40bo17bo3bo12bo3bo12bo$230bo15bo42boo
11boo5bobboo5bo9bo5boobbo$230b3obbo5bobb3o42bo13bo6boo8bo7bo8boo$228bo
7bo3bo7bo41bo17bo12bo5bo12bo$229boobbooboobooboobboo42boo15b3o29b3o$
229bobo4bo3bo4bobo41boo15boobbo27bobboo$226b3ob3obboo3boobb3ob3o58boo
27boo$226boob4ob3o3b3ob4oboo38bobo17bo29bo$227b4o4boo3boo4b4o38booboo$
228bo5boo5boo5bo39booboo13bo35bo$232bobbo5bobbo45bo16boo31boo$231b3obo
5bob3o59bobbo31bobbo$230bo5booboo5bo57bo39bo$229b3obooboobooboob3o55b
oo39boo$226booboo15booboo51b4o37b4o$225boobooboob4ob4oboobooboo36bo3bo
8bo45bo$235boo3boo45b7o7b3o7bo11bo21b3o$226bo23bo36bobbobbo6bo8booboo
7booboo22bo$223booboo6bo7bo6booboo34booboo9boo5booboo7booboo19boo$223b
oo9boo5boo9boo33b3ob3o10bo3bo3boo7boo3bo17bo$287booboboo8boo4b3o13b3o
18boo$223b3ob3o5b3ob3o5b3ob3o34bo3bo10bo7b3obooboob3o21bo$223boobbobbo
15bobbobboo34booboo9bo4b3o5booboo5b3o18bo$227bo3bo13bo3bo32bo4b7o8bo3b
o5boo7boo5bo17bo$228b4o13b4o34boobobo3bobo5boo3bo6boobbobobboo6bo$232b
oo9boo37boobboo5boo3boobo9b3obbobobb3o$229boo15boo50bo6bo6bo9bo6bo$
193bo11bo22b3obo11bob3o49boo6boo5bo7bo5boo$192b3o9b3o21boobbo11bobboo
50bo3bo6boobboo3boobboo$191bobboo7boobbo18bo3b3o11b3o3bo51bo7b5o5b5o$
190bo3bobo5bobo3bo17b3ob3o5bo5b3ob3o47bobbo6bo7bobo7bo$189boobooboo5b
oobooboo17boboobo4bobo4boboobo48bo8bobbo3b3ob3o3bobbo$189b4o3bo5bo3b4o
15bobbobbobobbo3bobbobobbobbo52b3o21b3o$189bo3b4obobob4o3bo16boo4bo3bo
3bo3bo4boo35boo16booboobobbobbobobbobbobooboo$193bo11bo20bo8boo3boo8bo
35boo16b3o6bobbobobbo6b3o$188bobo3boobbobobboo3bobo23bobo3bobo61b3o7bo
5bo7b3o$189bo4bobo5bobo4bo22boboob3oboobo57booboo6boo5boo6booboo$231bo
boobb3obboobo56b4o7boo5boo7b4o$192boobo7boboo23bobbo4bo4bobbo66bo7bo$
192b5o5b5o23b3o11b3o68bo3bo$191boo4bo3bo4boo23bo13bo54b3o12bo3bo12b3o$
194b4o3b4o26bo13bo53bo3bo27bo3bo$188bob3obobobobobobob3obo20b3o9b3o40b
oo10bo3boo27boo3bo$187b3obbo5bobo5bobb3o16bo19bo37boo13bo31bo$186boobb
o7bobo7bobboo14bobobboo9boobbobo47bo39bo$185boo3bo4bo7bo4bo3boo13bobo
bboo9boobbobo48bobo33bobo$195bobo3bobo25b4o11b4o52bo33bo$195bobbobobbo
26b3o11b3o52boo33boo$188bo7boo3boo7bo19b3o11b3o51b3o33b3o$184boboo23b
oobo81boobo35boboo$184b4o7bo7bo7b4o81bobbo35bobbo$182boobo27boboo16bo
52boo7bo43bo$181bobbo29bobbo14boo52boo6b3o41b3o$181boobbo27bobboo14bob
o58bo47bo$183b3o27b3o47b3o9b3o15boboo41boobo$184boo27boo16boo30bobbo7b
obbo17boo41boo$231b3o28boo13boo13bobboo41boobbo$182bo33bo14bobo26boobo
3bo5bo3boboo$181b3o31b3o45b3oboo3boob3o16bobo41bobo$182boo31boo42bo21b
o13bo43bo$178b3o37b3o39bobob5o3b5obobo5boo$177bo43bo38bo3bobboo3boobbo
3bo5boo4b3o$177bobbo37bobbo38bo3b3o7b3o3bo10boobo$176bo45bo10bo26bo4bo
9bo4bo11boboo$175b3o43b3o9b3o28b3o7b3o16b3o$229bo5bo27bobboo5boobbo15b
obo$178bo41bo7bobo4boo29boo5boo16b4o$179bo39bo7bo3bobobo26boo4bo3bo4b
oo12boo$177b3o39b3o6b8o25bo3bo3bobo3bo3bo$178bo41bo12bo24boob3obobobob
obobob3oboo$177boo22bo11bo6boo35bo5boo4bobo4boo5bo$200bobo9bobo15b3o
23bo4boo15boo4bo$199booboo7booboo15boo23b3o8bo5bo8b3o$199bo15bo49boo7b
oo$199b3obbo5bobb3o50bobbobobbo$197bo7bo3bo7bo40bo8boo3boo8bo$198boobb
ooboobooboobboo38bo3bo7bo5bo7bo3bo$198bobo4bo3bo4bobo41bo23bo$195b3ob
3obboo3boobb3ob3o15boboo14boo31boo$195boob4ob3o3b3ob4oboo13b3o16bobboo
27boobbo$196b4o4boo3boo4b4o13b3obobo13boobbo27bobboo$197bo5boo5boo5bo
14b3o18boobbo25bobboo$201bobbo5bobbo40bobo27bobo$200b3obo5bob3o$199bo
5booboo5bo36b3o31b3o$198b3obooboobooboob3o35bo35bo$195booboo15booboo
30boobbo31bobboo$194boobooboob4ob4oboobooboo28boo39boo$204boo3boo37bo
bbo37bobbo$195bo23bo8boo5boo10boo43boo$192booboo6bo7bo6booboo5boo5boo
9bo47bo$193boo8boo5boo8boo24b3o43b3o$247boo43boo$204b3ob3o$196boo19boo
29bobo39bobo$197boo17boo30bobo39bobo$194b3o21b3o$195boo10bo10boo28boo
41boo$196bo9b3o9bo9boo5boo$194bobbo3b3obo3bob3o3bobbo7boo5boo$193bobob
oobobbobo3bobobboboobobo$193bo13bo13bo$192bo3bo4booboo3booboo4bo3bo$
193bobbo3bo3bobobobo3bo3bobbo42bo11bo$194bobbo7bo3bo7bobbo42b3o9b3o$
198boo15boo45bobboo7boobbo$261bo3bobo5bobo3bo$200b3o9b3o13boo5boo23boo
booboo5boobooboo$200bo13bo13boo5boo23b4o3bo5bo3b4o$202bo9bo47bo3b4obob
ob4o3bo$200bobo9bobo49bo11bo$201bo11bo45bobo3boobbobobboo3bobo$185bo
11bo62bo4bobo5bobo4bo$184bobo9bobo$183booboo7booboo63boobo7boboo$183bo
15bo63b5o5b5o$183b3obbo5bobb3o28boo5boo25boo4bo3bo4boo$181bo7bo3bo7bo
26boo5boo28b4o3b4o$182boobbooboobooboobboo58bob3obobobobobobob3obo$
182bobo4bo3bo4bobo57b3obbo5bobo5bobb3o$179b3ob3obboo3boobb3ob3o53boobb
o7bobo7bobboo$179boob4ob3o3b3ob4oboo52boo3bo4bo7bo4bo3boo$180b4o4boo3b
oo4b4o63bobo3bobo$181bo5boo5boo5bo64bobbobobbo$185bobbo5bobbo61bo7boo
3boo7bo$184b3obo5bob3o56boboo23boobo$183bo5booboo5bo55b4o7bo7bo7b4o$
182b3obooboobooboob3o52boobo27boboo$179booboo15booboo48bobbo29bobbo$
178boobooboob4ob4oboobooboo47boobbo27bobboo$188boo3boo59b3o27b3o$179bo
23bo51boo27boo$176booboo6bo7bo6booboo$177boo8boo5boo8boo47bo33bo$252b
3o31b3o$188b3ob3o58boo31boo$175bo31bo41b3o37b3o$174b3o29b3o39bo43bo$
173booboo27booboo38bobbo37bobbo$172b3o33b3o36bo45bo$172boo35boo35b3o
43b3o$172b3o33b3o$174bo33bo40bo41bo$250bo39bo$173boo33boo38b3o39b3o$
170boobo35boboo36bo41bo$170bobbo35bobbo15boo5boo11boo41boo$172bo37bo
17boo5boo$168boo43boo$167boboo41boobo$167boboo41boobo$166boo47boo$166b
oobo43boboo$168b3o41b3o$168b3o41b3o$228boo5boo$228boo5boo8$228boo5boo$
228boo5boo8$228boo5boo$228boo5boo3$202b3o9b3o$202bobo9bobo$201bobbo9bo
bbo15boo$201bob4o5b4obo15boo39bo11bo$199boo4bobo3bobo4boo53bobo9bobo$
200b3oboobo3boboob3o53booboo7booboo$198bo8bo3bo8bo51bo15bo$198bobobboo
bo5boboobbobo51b3obbo5bobb3o$197bo3boo4bo3bo4boo3bo48bo7bo3bo7bo$198bo
bo5bo5bo5bobo50boobbooboobooboobboo$199bo4b3o5b3o4bo18boo31bobo4bo3bo
4bobo$238boo28b3ob3obboo3boobb3ob3o$203boobo5boboo52boob4ob3o3b3ob4ob
oo$201booboobo3bobooboo51b4o4boo3boo4b4o$201booboobooboobooboo52bo5boo
5boo5bo$198boo8bobo8boo53bobbo5bobbo$196boo3bob6ob6obo3boo50b3obo5bob
3o$197bobo3boo9boo3bobo6boo5boo35bo5booboo5bo$195boboo3bo13bo3boobo4b
oo5boo34b3obooboobooboob3o$195bobo6b3o5b3o6bobo44booboo15booboo$195boo
25boo43boobooboob4ob4oboobooboo$207bo3bo65boo3boo$204bo3bobo3bo53bo23b
o$198boo5bobo3bobo5boo12bo31booboo6bo7bo6booboo$196bobbo19bobbo10bo32b
oo8boo5boo8boo$199bo19bo20boo$196boo23boo17boo35b3ob3o$198bo9b3o9bo17b
oboo22bo31bo$196boo9bo3bo9boo15boo23b3o29b3o$196booboob6obob6obooboo
39booboo27booboo$195bo3booboobo3bo3bobooboo3bo37b3o33b3o$195b4oboobbo
bbooboobbobboob4o37boo35boo$195b3obboo5booboo5boobb3o37b3o33b3o$200boo
4bo5bo4boo44bo33bo$200bo17bo$262boo33boo$203boo9boo43boobo35boboo$202b
oo11boo42bobbo35bobbo$203boo9boo45bo37bo$202bobo9bobo19boo19boo43boo$
203bo11bo19bobbo17boboo41boobo$236boo18boboo41boobo$255boo47boo$255boo
bo43boboo$249boo6b3o41b3o$249boo6b3o41b3o3$256boo$254boobo$255bo$254bo
bboo$192bo11bo52boo3b3o9b3o$190booboo7booboo46bobbo5bobbo7bobbo$190boo
boo7booboo47boo5boo13boo$189bo3boo7boo3bo51boobo3bo5bo3boboo$189b3o13b
3o54b3oboo3boob3o$192b3obooboob3o53bo21bo$188b3o5booboo5b3o50bobob5o3b
5obobo$187bo5boo7boo5bo49bo3bobboo3boobbo3bo$186bo6boobbobobboo6bo48bo
3b3o7b3o3bo$192b3obbobobb3o54bo4bo9bo4bo$186bo6bo9bo6bo52b3o7b3o$187b
oo5bo7bo5boo52bobboo5boobbo$191boobboo3boobboo59boo5boo$191b5o5b5o55b
oo4bo3bo4boo$189bo7bobo7bo52bo3bo3bobo3bo3bo$188bobbo3b3ob3o3bobbo48b
oob3obobobobobobob3oboo$185b3o21b3o44bo5boo4bobo4boo5bo$185booboobobbo
bbobobbobbobooboo43bo4boo15boo4bo$185b3o6bobbobobbo6b3o43b3o8bo5bo8b3o
$185b3o7bo5bo7b3o52boo7boo$183booboo6boo5boo6booboo51bobbobobbo$183b4o
7boo5boo7b4o43bo8boo3boo8bo$194bo7bo25boo5boo17bo3bo7bo5bo7bo3bo$196bo
3bo27boo5boo20bo23bo$181b3o12bo3bo12b3o36boo31boo$180bo3bo7bo11bo7bo3b
o34bobboo27boobbo$179bo3boo6b3o9b3o6boo3bo33boobbo27bobboo$182bo7bobb
oo7boobbo7bo37boobbo25bobboo$178bo10bo3bobo5bobo3bo10bo34bobo4bo11bo
10bobo$179bobo6boobooboo5boobooboo6bobo41b3o9b3o$181bo6b4o3bo5bo3b4o6b
o35b3o4bobboo7boobbo10b3o$180boo6bo3b4obobob4o3bo6boo11boo5boo14bo5bo
3bobo5bobo3bo11bo$179b3o10bo11bo10b3o10boo5boo12boobbobboobooboo5boob
ooboo8bobboo$177boobo6bobo3boobbobobboo3bobo6boboo28boo6b4o3bo5bo3b4o
12boo$177bobbo7bo4bobo5bobo4bo7bobbo27bobbo5bo3b4obobob4o3bo11bobbo$
176bo43bo25boo12bo11bo18boo$175b3o13boobo7boboo13b3o23bo9bobo3boobbobo
bboo3bobo15bo$174bo16b5o5b5o16bo22b3o8bo4bobo5bobo4bo14b3o$174boboo12b
oo4bo3bo4boo12boobo23boo43boo$176boo15b4o3b4o15boo38boobo7boboo$173bo
bboo9bob3obobobobobobob3obo9boobbo4boo5boo10bobo9b5o5b5o15bobo$186b3o
bbo5bobo5bobb3o17boo5boo10bobo8boo4bo3bo4boo14bobo$175bobo7boobbo7bobo
7bobboo7bobo39b4o3b4o$176bo7boo3bo4bo7bo4bo3boo7bo26boo6bob3obobobobob
obob3obo12boo$194bobo3bobo42bo8b3obbo5bobo5bobb3o$194bobbobobbo40boobb
o5boobbo7bobo7bobboo$187bo7boo3boo7bo33bo3bo4boo3bo4bo7bo4bo3boo$183bo
boo23boobo28bobbo16bobo3bobo$183b4o7bo7bo7b4o28bobbo16bobbobobbo$181b
oobo27boboo12boo5boo6boo10bo7boo3boo7bo$180bobbo29bobbo11boo5boo14bob
oo23boobo$180boobbo27bobboo34b4o7bo7bo7b4o$182b3o27b3o34boobo27boboo$
183boo27boo34bobbo29bobbo$248boobbo27bobboo$181bo33bo34b3o27b3o$180b3o
12b3o9b3o4b3o34boo27boo$181boo12bobo9bobo4boo$177b3o14bobbo9bobbo6b3o
29bo33bo$176bo17bob4o5b4obo9bo27b3o31b3o$176bobbo12boo4bobo3bobo4boo4b
obbo28boo31boo$175bo17b3oboobo3boboob3o9bo23b3o37b3o$174b3o14bo8bo3bo
8bo6b3o21bo43bo$191bobobboobo5boboobbobo30bobbo37bobbo$177bo12bo3boo4b
o3bo4boo3bo4bo23bo45bo$178bo12bobo5bo5bo5bobo4bo23b3o43b3o$176b3o13bo
4b3o5b3o4bo5b3o$177bo41bo25bo41bo$176boo18boobo5boboo10boo25bo39bo$
194booboobo3bobooboo9bo23b3o39b3o$194booboobooboobooboo9b4o21bo41bo$
191boo8bobo8boo7boboo19boo41boo$189boo3bob6ob6obo3boo6bobbo18bo$190bob
o3boo9boo3bobo8boo16b4o$188boboo3bo13bo3boobo6boo15boobo$188bobo6b3o5b
3o6bobo3bo18bobbo$188boo25boo23boo$200bo3bo35boo$197bo3bobo3bo36bo$
198bobo3bobo$185b3o29b3o$185bobbo27bobbo38bo11bo$184bo4bo6b3o9b3o4bo4b
o36bobo9bobo$183boo11bobbo7bobbo9boo34booboo7booboo$184bobobbo5boo13b
oo3bobbobo35bo15bo$193boobo3bo5bo3boboo42b3obbo5bobb3o$184bobbo8b3oboo
3boob3o6bobbo33bo7bo3bo7bo$184bobbo4bo21bobbobbo34boobbooboobooboobboo
$182bobo8bobob5o3b5obobo6bobo32bobo4bo3bo4bobo$181b3o9bo3bobboo3boobbo
3bo7b3o28b3ob3obboo3boobb3ob3o$183bo9bo3b3o7b3o3bo7bo30boob4ob3o3b3ob
4oboo$179bo13bo4bo9bo4bo11bo27b4o4boo3boo4b4o$178boboo15b3o7b3o13boobo
27bo5boo5boo5bo$178bobo15bobboo5boobbo13bobo31bobbo5bobbo$177boo20boo
5boo18boo29b3obo5bob3o$178bo16boo4bo3bo4boo14bo29bo5booboo5bo$179b3o
12bo3bo3bobo3bo3bo10b3o29b3obooboobooboob3o$180bo10boob3obobobobobobob
3oboo8bo27booboo15booboo$190bo5boo4bobo4boo5bo34boobooboob4ob4obooboob
oo$189bo4boo15boo4bo43boo3boo$189b3o8bo5bo8b3o34bo23bo$198boo7boo40boo
boo6bo7bo6booboo$199bobbobobbo42boo8boo5boo8boo$191bo8boo3boo8bo$188bo
3bo7bo5bo7bo3bo42b3ob3o$191bo23bo32bo31bo$186boo31boo26b3o29b3o$185bo
bboo27boobbo24booboo27booboo$185boobbo27bobboo23b3o33b3o$186boobbo25bo
bboo24boo35boo$187bobo27bobo25b3o33b3o$247bo33bo$185b3o31b3o11boo$185b
o35bo11boo11boo33boo$183boobbo31bobboo19boobo35boboo$182boo39boo18bobb
o35bobbo$181bobbo37bobbo19bo37bo$180boo43boo14boo43boo$179bo47bo12bob
oo41boobo$179b3o43b3o12boboo41boobo$180boo43boo12boo47boo$239boobo43bo
boo$181bobo39bobo15b3o41b3o$181bobo39bobo15b3o41b3o$$181boo41boo$227bo
12boo$225bobboo8boobo$225bo3bo9bo$227bobbo7bobboo$227bobbo10boo$228boo
7bobbo$238boo7$236b3o$238bo$237bo65$331boo$330bobo$332bo66$425b3o$427b
o$426bo!

In a previous post I showed a period doubling convoy for periods which were a multiple of 42, which was rather large.

Here is a much smaller period doubling convoy for twice as many periods.

Code: Select all

#C An orthogonal 3c/7 convoy to double the period of a glider stream.
#C This works for glider streams whose periods are a multiple of 21,
#C and at least as large as 84.  This is shown here ready to emit a
#C glider when it receives the first one.  The output gliders can be
#C emitted in the other direction by repositioning the right rear
#C spaceship.
#C David I. Bell, 30 October 2026
x = 164, y = 198, rule = B3/S23
105bo11bo$104b3o9b3o$103bobboo7boobbo$102bo3bobo5bobo3bo$101boobooboo
5boobooboo$101b4o3bo5bo3b4o$101bo3b4obobob4o3bo$105bo11bo$100bobo3boo
bbobobboo3bobo$101bo4bobo5bobo4bo$$104boobo7boboo$104b5o5b5o$103boo4bo
3bo4boo$106b4o3b4o$100bob3obobobobobobob3obo$77bo21b3obbo5bobo5bobb3o$
78bo19boobbo7bobo7bobboo$76b3o18boo3bo4bo7bo4bo3boo$107bobo3bobo$107bo
bbobobbo$100boo6boo3boo6boo$95b3obbo21bobb3o$97bo3boo4bo7bo4boo3bo$97b
o3bobo15bobo3bo$98bo3b3o13b3o3bo$99boo4bo11bo4boo$102boobbo9bobboo$
100bo21bo$102bobobo9bobobo12bo11bo$100bobobo13bobobo9b3o9b3o$99bobbobb
3o7b3obbobbo7bobboo7boobbo$99bobo9bo9bobo6bo3bobo5bobo3bo$99bobbobbo4b
3o4bobbobbo5boobooboo5boobooboo$103bo4bob3obo4bo9b4o3bo5bo3b4o$99bo6bo
bo5bobo6bo5bo3b4obobob4o3bo$46b3o9b3o37bo7boboo3boobo7bo8bo11bo$45bo3b
o7bo3bo37bo3boobob7oboboo3bo4bobo3boobbobobboo3bobo$44bobo3bo5bo3bobo
47b3o16bo4bobo5bobo4bo$44bo3boo7boo3bo41bo13bo$44b3o3bo5bo3b3o69boobo
7boboo$43bo3boob3ob3oboo3bo39bo15bo12b5o5b5o$43boobbo3booboo3bobboo39b
ooboboobobooboboo11boo4bo3bo4boo$42b3o3b5ob5o3b3o38bo15bo14b4o3b4o$50b
o5bo46bobo11bobo8bob3obobobobobobob3obo$47bo11bo42bo3bo9bo3bo6b3obbo5b
obo5bobb3o$42bo4bo11bo4bo38bobbo9bobbo6boobbo7bobo7bobboo$42bo4b4o5b4o
4bo36bo3bo11bo3bo3boo3bo4bo7bo4bo3boo$46bo4bo3bo4bo43bo13bo16bobo3bobo
$45boob3o5b3oboo39bo19bo13bobbobobbo$45boobo3bobo3boboo39b3o15b3o6bo7b
oo3boo7bo$41b3o7booboo7b3o37b3o11b3o4boboo23boobo$40bo3boo4bobobobo4b
oo3bo37bo12boo5b4o7bo7bo7b4o$39bo3bo19bo3bo36b3o15boobo27boboo$39bo9b
3o3b3o9bo38bo14bobbo29bobbo$43bo6boo3boo6bo40b3o14boobbo27bobboo$38bo
3bo8bo3bo8bo3bo35bo18b3o27b3o$38bo3bo5bo9bo5bo3bo34booboo16boo27boo$
38bo4boo4bo7bo4boo4bo$40bo4bo4bo5bo4bo4bo36bo3bo14bo33bo$40bo3boo15boo
3bo37b3o14b3o31b3o$41boo3bo13bo3boo56boo31boo$42b6o11b6o53b3o37b3o$42b
oo3boo9boo3boo52bo43bo$44bob3o9b3obo54bobbo37bobbo$42b3obo13bob3o37boo
boboo7bo45bo$42bo4boo9boo4bo37bobbobbo6b3o43b3o$41bobo4boo7boo4bobo36b
o5bo$42bo4b3obb3obb3o4bo53bo6b3o9b3o20bo$42boobobboobo3boboobboboo54bo
5bobbo7bobbo19bo$41b6obo9bob6o39bo11b3o4boo13boo18b3o$40bo3b4obbo5bobb
4o3bo38bo12bo3boobo3bo5bo3boboo17bo$40bobo5boboo3boobo5bobo50boo6b3ob
oo3boob3o20boo$48bo3b3o3bo58bo3bo21bo$47b4o5b4o41bo3bo3bo4b4o4bobob5o
3b5obobo$46b15o40boo5boo3boobo5bo3bobboo3boobbo3bo$45bob13obo50bobbo6b
o3b3o7b3o3bo$46bobo4bo4bobo52boo7bo4bo9bo4bo$45bo15bo51boo11b3o7b3o$
45b3o11b3o55bo7bobboo5boobbo$47bo11bo68boo5boo$43boboobo9boboobo60boo
4bo3bo4boo$44boobo11boboo60bo3bo3bobo3bo3bo$44boo15boo38boo17boob3obob
obobobobob3oboo$43boo17boo37boo16bo5boo4bobo4boo5bo$44bo17bo55bo4boo
15boo4bo$46boo11boo57b3o8bo5bo8b3o$46bo13bo66boo7boo$59bo68bobbobobbo$
58boo60bo8boo3boo8bo$59boo56bo3bo7bo5bo7bo3bo$120bo23bo$58bobo40boo12b
oo31boo$57booboo39boo11bobboo27boobbo$57booboo52boobbo27bobboo$19bo11b
o27bo55boobbo25bobboo$17booboo7booboo82bobo27bobo$17booboo7booboo$16bo
3boo7boo3bo79b3o31b3o$16b3o13b3o79bo35bo$19b3obooboob3o25bo3bo50boobbo
31bobboo$15b3o5booboo5b3o20b7o38boo8boo39boo$14bo5boo7boo5bo19bobbobbo
38boo7bobbo37bobbo$13bo6boobbobobboo6bo19booboo18bo11bo16boo43boo$19b
3obbobobb3o24b3ob3o16b3o9b3o14bo47bo$13bo6bo9bo6bo18booboboo15bobboo7b
oobbo13b3o43b3o$14boo5bo7bo5boo20bo3bo15bo3bobo5bobo3bo13boo43boo$18b
oobboo3boobboo24booboo14boobooboo5boobooboo$18b5o5b5o23b7o13b4o3bo5bo
3b4o13bobo39bobo$16bo7bobo7bo20bobo3bobo12bo3b4obobob4o3bo13bobo39bobo
$15bobbo3b3ob3o3bobbo19boo5boo16bo11bo8boo$12b3o21b3o36bobo3boobbobobb
oo3bobo3boo7boo41boo$12booboobobbobbobobbobbobooboo37bo4bobo5bobo4bo
11bo$12b3o6bobbobobbo6b3o67boobbo$12b3o7bo5bo7b3o40boobo7boboo12bo3bo$
10booboo6boo5boo6booboo38b5o5b5o11bobbo$10b4o7boo5boo7b4o37boo4bo3bo4b
oo10bobbo$21bo7bo51b4o3b4o14boo$23bo3bo27boo5boo11bob3obobobobobobob3o
bo$8b3o12bo3bo12b3o12boo5boo10b3obbo5bobo5bobb3o$7bo3bo27bo3bo29boobbo
7bobo7bobboo$6bo3boo27boo3bo27boo3bo4bo7bo4bo3boo$9bo31bo40bobo3bobo$
5bo39bo36bobbobobbo$6bobo33bobo30bo7boo3boo7bo$8bo33bo28boboo23boobo$
7boo33boo28b4o6bo7bo6b4o$6b3o33b3o10boo5boo12boo17boo$4boobo35boboo8b
oo5boo12boo17boo$4bobbo35bobbo29boo17boo$3bo43bo27boo9bo9boo$bb3o41b3o
25boo5bo3b3o3bo5boo$bo47bo23bo6bobobooboobobo6bo$boboo41boobo22b3o4boo
bobo3boboboo4b3o$3boo41boo24bobbobboobobo5boboboobbobbo$obboo41boobbo
23bo23bo$55boo5boo17bo9bo$bbobo41bobo6boo5boo8bo5b3obbo5bobb3o5bo$3bo
43bo24bobb3o5bo5bo5b3obbo$77bobo13bobo$48b3o$48boboo27boo11boo$47boobo
29bo11bo$47b3o$47bobo$25b3o9b3o8b4o10boo$25bobbo7bobbo10boo10boo24b3o
9b3o$24boo13boo46bo3bo7bo3bo$22boobo3bo5bo3boboo43bobo3bo5bo3bobo$25b
3oboo3boob3o46bo3boo7boo3bo$21bo21bo42b3o3bo5bo3b3o$22bobob5o3b5obobo
42bo3boob3ob3oboo3bo$22bo3bobboo3boobbo3bo42boobbo3booboo3bobboo$22bo
3b3o7b3o3bo41b3o3b5ob5o3b3o$22bo4bo9bo4bo19boo28bo5bo$26b3o7b3o23boo
25bo11bo$25bobboo5boobbo44bo4bo11bo4bo$28boo5boo47bo4b4o5b4o4bo$24boo
4bo3bo4boo47bo4bo3bo4bo$23bo3bo3bobo3bo3bo45boob3o5b3oboo$20boob3obobo
bobobobob3oboo42boobo3bobo3boboo$19bo5boo4bobo4boo5bo37b3o7booboo7b3o$
18bo4boo15boo4bo35bo3boo4bobobobo4boo3bo$18b3o8bo5bo8b3o15boo17bo3bo
19bo3bo$27boo7boo24boo17bo9b3o3b3o9bo$28bobbobobbo48bo6boo3boo6bo$20bo
8boo3boo8bo35bo12bo3bo12bo$17bo3bo7bo5bo7bo3bo32bobboo5bo9bo5boobbo$
20bo23bo36boo8bo7bo8boo$15boo31boo29bo12bo5bo12bo$14bobboo27boobbo27b
3o29b3o$14boobbo27bobboo26boobbo27bobboo$15boobbo25bobboo12boo16boo27b
oo$16bobo27bobo13boo16bo29bo$$14b3o31b3o26bo35bo$14bo35bo27boo31boo$
12boobbo31bobboo23bobbo31bobbo$11boo39boo21bo39bo$10bobbo37bobbo19boo
39boo$9boo43boo17b4o37b4o$8bo47bo5boo8bo45bo$8b3o43b3o5boo8b3o41b3o$9b
oo43boo15bo47bo$73boo41boo$10bobo39bobo20bo39bo$10bobo39bobo18boo41boo
$74bo41bo$10boo41boo18bo43bo$56bo16bo43bo$54bobboo3boo7boo$54bo3bo3boo
5boobo$56bobbo9bo$56bobbo9boo$57boo11bo3bo$73bo$69bobbo$69bo!

Here is an example of it being used.

Code: Select all

#C An orthogonal 3c/7 period 252 (4 * 9 * 7) forward glider rake.
#C This uses a period 126 (2 * 9 * 7) backward rake and a convoy
#C which multiplies the period by two.
#C David I. Bell, 30 October 2026
x = 376, y = 736, rule = B3/S23
76bo11bo$74booboo7booboo$74booboo7booboo$73bo3boo7boo3bo$73b3o13b3o$
76b3obooboob3o$72b3o5booboo5b3o$71bo5boo7boo5bo$70bo6boobbobobboo6bo$
76b3obbobobb3o$70bo6bo9bo6bo$71boo5bo7bo5boo$75boobboo3boobboo$75b5o5b
5o$73bo7bobo7bo$72bobbo3b3ob3o3bobbo$69b3o21b3o$69booboobobbobbobobbo
bbobooboo$69b3o6bobbobobbo6b3o$69b3o7bo5bo7b3o$67booboo6boo5boo6booboo
$67b3o8boo5boo8b3o$69bobbo5bo7bo5bobbo$67bob5o6bo3bo6b5obo$67boboboboo
5bo3bo5boobobobo$71bo3bo13bo3bo$72b4o13b4o$72bo3bo11bo3bo$72boboboo9b
oobobo$$71boo3boo9boo3boo$70bo6bo9bo6bo$70bobo4bo4bo4bo4bobo$48b3o9b3o
14bo3b3o3bo$48bobbo7bobbo9b4obobbooboobbob4o$47boo13boo5b3o4bo3booboo
3bo4b3o$45boobo3bo5bo3boboo4boo8booboo8boo$48b3oboo3boob3o14boo3bo3boo
$44bo21bo9bo11bo$45bobob5o3b5obobo9bo3boo3boo3bo$45bo3bobboo3boobbo3bo
8bobboobb3obboobbo$45bo3b3o7b3o3bo8bobo11bobo$45bo4bo9bo4bo$49b3o7b3o
12boo13boo$48bobboo5boobbo12boo11boo$51boo5boo12bobbo13bobbo$47boo4bo
3bo4boo7bobobboo9boobbobo$46bo3bo3bobo3bo3bo8bo17bo$43boob3obobobobobo
bob3oboo4boo17boo$42bo5boo4bobo4boo5bo8bo9bo$41bo4boo15boo4bo4bobo11bo
bo$41b3o8bo5bo8b3o5bo13bo$50boo7boo$51bobbobobbo16boo$43bo8boo3boo8bo
8bobo$52bo5bo17bo$41bobboo19boobbo5b3o$42boobbo17bobboo6bobo$44bobbo
15bobbo7bobbo$75bobo$43bobbo7b3o7bobbo$43b3o4bobbo3bobbo4b3o$41bobbo3b
oobobo3boboboo3bobbo$41bobo3bo3bobooboobo3bo3bobo$41bobbobboob3o5b3ob
oobbobbo$49bobo7bobo11b3ob3o$48boo11boo10bobbobbo$45b5obo7bob5o8bo3bo$
45boobbo11bobboo7boo3boo$23bo11bo10boo15boo9bo3bo$22b3o9b3o10b3o11b3o
11b3o$21bobboo7boobbo10boo11boo12b3o$20bo3bobo5bobo3bo9boo11boo16bo$
19boobooboo5boobooboo38bobo$19b4o3bo5bo3b4o39boo$19bo3b4obobob4o3bo$
23bo11bo30bo$18bobo3boobbobobboo3bobo25bobo$19bo4bobo5bobo4bo26boo7bo$
74bobo$22boobo7boboo37bobo$22b5o5b5o38bo$21boo4bo3bo4boo41boo$24b4o3b
4o44boo$18bob3obobobobobobob3obo$17b3obbo5bobo5bobb3o$16boobbo7bobo7bo
bboo$15boo3bo4bo7bo4bo3boo31bo$25bobo3bobo40bobo$25bobbobobbo40bobo$
18boo6boo3boo6boo21bo12bo$13b3obbo21bobb3o14boo17boo$15bo3boo4bo7bo4b
oo3bo17boo16boo$15bo3bobo15bobo3bo$16bo3b3o13b3o3bo$17boo4bo11bo4boo$
20boobbo9bobboo36bo$18bo21bo33bobo$20bobobo9bobobo35bobo$18bobobo13bob
obo34bo$17bobbobb3o7b3obbobbo37boo$17bobo9bo9bobo37boo$17bobbobbo4b3o
4bobbobbo$21bo4bob3obo4bo$17bo6bobo5bobo6bo14bo$16bo7boboo3boobo7bo12b
o19bo$17bo3boobob7oboboo3bo13b3o16bobo$28b3o43bobo$22bo13bo38bo$79boo$
21bo15bo41boo$21booboboobobooboboo$21bo15bo$21bobo11bobo$20bo3bo9bo3bo
36bo$21bobbo9bobbo36bobo$19bo3bo11bo3bo34bobo$22bo13bo38bo$19bo19bo39b
oo$19b3o15b3o10bobo26boo$21b3o11b3o12boo$22boo12bo14bo$34b3o$10bo7bo
15bo40bo$9b3o5b3o14b3o37bobo$8bobboo3boobbo15bo37bobo$7boob9oboo11boob
oo37bo$8boboo5boobo58boo$7b3oboo3boob3o11bo3bo41boo$7b3o4bo4b3o12b3o$
10bo7bo$7bobbo7bobbo$6bobo11bobo12bo39bo$7boobo7boboo13bo9bo28bobo$9b
oo7boo15bo9bobo26bobo$10bo7bo26boo28bo$9bobo5bobo12bo5bo40boo$8bo3bo3b
o3bo10bobo3bobo39boo$8bobbo5bobbo10boo5boo$8bobboo3boobbo$8booboo3boob
oo$9bo9bo55bo$8bo11bo53bobo$6bobo11bobo51bobo$5boobobbo5bobboboo51bo$
4bobo15bobo54boo$3bo6boo5boo6bo5boo8b5o33boo$4boobobobbo3bobboboboo6b
oo7bo4bo$5bobobobo5bobobobo21bo$7b3o9b3o18bo3bo$6bobo11bobo19bo32bo$5b
o3bo9bo3bo50bobo$5bo4bo7bo4bo50bobo16bo11bo$11bo5bo57bo15booboo7booboo
$5b3obbo7bobb3o28b3o24boo10booboo7booboo$10bo7bo12boo18b5o23boo9bo3boo
7boo3bo$10bobo3bobo12boo18b3oboo33b3o13b3o$8bobobooboobobo33boo37b3ob
ooboob3o$b4o3bo4bobo4bo3b4o61b3o5booboo5b3o$obboo6boo3boo6boobbo46bo
12bo5boo7boo5bo$7bo4bo3bo4bo52bobo10bo6boobbobobboo6bo$ooboboboo11boob
oboboo45bobo16b3obbobobb3o$bbo23bo36bo11bo11bo6bo9bo6bo$4b4obo9bob4o
36bo3bo13boo7boo5bo7bo5boo$6bobbo9bobbo8boo33bo12boo11boobboo3boobboo$
8bo11bo10boo28bo4bo25b5o5b5o$4bobo15bobo37b5o23bo7bobo7bo$bboo21boo62b
obbo3b3ob3o3bobbo$74boo10b3o21b3o$bbobo19bobo47boo10booboobobbobbobobb
obbobooboo$bobbo19bobbo47bo10b3o6bobbobobbo6b3o$bobbo19bobbo44bobo11b
3o7bo5bo7b3o$bb3o8b3o8b3o44bobbo4boo3booboo6boo5boo6booboo$bb3o8b3o8b
3o45bo6boo3b3o8boo5boo8b3o$bboo8bo3bo8boo4bo54bobbo5bo7bo5bobbo$bb3ob
5obo3bob5ob3o4bo52bob5o6bo3bo6b5obo$3b3o6bo3bo6b3o51bo6boboboboo5bo3bo
5boobobobo$5boo5b5o5boo52bobo9bo3bo13bo3bo$6bo4bobbobbo4bo53bo12b4o13b
4o$7bobbo7bobbo55bo11bo3bo11bo3bo$3bo4bobo7bobo4bo63boboboo9boobobo$3b
obo17bobo$3bobooboo9booboobo49boo11boo3boo9boo3boo$7bobbo7bobbo52b3o
10bo6bo9bo6bo$3bo21bo48bobbo9bobo4bo4bo4bo4bobo8bo11bo$3b3o3bo9bo3b3o
48boobo16bo3b3o3bo14b3o9b3o$4bo19bo50boo12b4obobbooboobbob4o11bo9bo$5b
obbo11bobbo62b3o4bo3booboo3bo4b3o4boboo11boobo$4bo3bo11bo3bo62boo8boob
oo8boo5bo4b3o3b3o4bo$4bo3bo11bo3bo69boo3bo3boo11bob3ob3o3b3ob3obo$9boo
7boo73bo11bo$5bo5bo5bo5bo68bo3boo3boo3bo8b3ob4obo3bob4ob3o$6bo3boo5boo
3bo68bobboobb3obboobbo7boo7bo3bo7boo$7b3o9b3o32bo7bo10bo17bobo11bobo7b
3obboboo5boobobb3o$52booboo3booboo7b3obbo$12booboo35booboo3booboo7boo
3bobo11boo13boo12bobbo5bobbo$11bo5bo37boo3boo15bobo12boo11boo13bo11bo$
51bo5b3o5bo9boboboo8bobbo13bobbo8boobbobo3bobobboo$51bo13bo8boo3bo8bob
obboo9boobbobo7bo3b3o3b3o3bo$52bo11bo7boo4bo11bo17bo7boo4bobbobobbo4b
oo$53boo7boo25boo17boo4bobooboboobbobobbooboboobo$50bobobobo3bobobobo
4bo5bo16bo9bo8boobo3bo3bo3bo3bo3boboo$50boboboo5boobobo24bobo11bobo4bo
bo3boo13boo3bobo$50bobo11bobo5bo4bo14bo13bo5boo8bo7bo8boo$74bobbo35bo
7b3o5b3o7bo$55bo5bo12b3o3boo22boo15boobo3boboo$54boo5boo16bobbo20bobo
16b3o3b3o$52boo9boo15boo23bo9bo7boo3boo7bo$52bo3bo3bo3bo39b3o6b4o19b4o
$54bobbobobbo41bobo6boobbo17bobboo$54bobo3bobo41bobbo6bo23bo$53bo9bo
11b3o26bobo19bo$51bo3bo5bo3bo48bobo8b3o8bobo$50b4o9b4o46boobo3booboobo
booboo3boboo$48boobobbo7bobboboo36bo10bobboobobo3boboboobbo$48boobb3o
7b3obboo35bobo4booboobbo5booboo5bobbooboo$51bobobbo3bobbobo37booboo5bo
4b3o3bo3bo3b3o4bo$49bob3obbo3bobb3obo9bo9boo15bobbo10bo3boo5boo3bo$49b
o4bo7bo4bo7bo3bo8boo15boo10bo17bo$75bo3bo7bo28bo19bo$50bo15bo7bobbobbo
23b3o4bo8boo9boo$50boobo9boboo35b3o3bo3bo3bo3bo11bo3bo$49bo3boo7boo3bo
33bob4o5bo4bobbo11bobbo$101boo3bobobobo8bo9bo$49boo4bo5bo4boo41b3o7boo
11boo$$52booboo3booboo$46bo5boo3bobo3boo5bo$45boboo5bobo3bobo5boobo$
44boobbo3boobo5boboo3bobboo$46boboob6o3b6oboobo$51bobbobo3bobobbo$48bo
bobbo9bobbobo$46b3o3bo11bo3b3o41bo$46b3obobo11bobob3o39booboo$47b3o17b
3o$115bo$48bo19bo40bo$46boo21boo42boo$45bobbo19bobbo3boo24bobo5bobboo$
45bobo21bobo3boo24bob4o5bo$46b3o19b3o35b6o$57b3o41bob4o$50bo5bo3bo5bo
34bobobbobobo$46boo3bo4bobobo4bo3boo35bo3bo$44bobbobbooboob5obooboobbo
bbo33b3o5boo$44bobbo3bobo9bobo3bobbo29bo11boo$52bo11bo35booboo$49bo3b
oo7boo3bo$48bobobbobo5bobobbobo34bobo$48bo3bo11bo3bo32bo3bo$47bo21bo
14b3o5b3o6bobboo$46b4obboo9boobb4o13bobbo3bobbo7b3o$46b4obbo11bobb4o
11boo5bo5boo6bo$50boo13boo15boo4b3o4boo$51bo13bo23bo$86boo3boo$50bobo
11bobo15bo3bo5bo3bo$49boo15boo14bobbo7bobbo$47bobo4bo7bo4bobo12bobo9bo
bo$48bo3bobo7bobo3bo12bobo11bobo$51b3obo5bob3o16boobo7boboo$83boboo5b
oobo$50boo4bo3bo4boo19bo5bo$54b3o3b3o21b3o5b3o$55boo3boo21b5o3b5o$82b
3obo5bob3o$82boo11boo$83booboo3booboo35boo$84boo7boo35bobo$82b3o9b3o
35bo$80booboo9booboo$81bo15bo$79boboobboo5boobboobo$78bobbo3boo5boo3bo
bbo$79boo3bobbo3bobbo3boo$79boobobo9boboboo$84boo7boo31b3o5b3o$81bo15b
o28bobo5bobo$80boobbo9bobboo27bobo5bobo$85bo7bo30boboo3bo3boobo$80bo4b
oo5boo4bo25boo4bobo4boo$81bo3boo5boo3bo30booboboo$81bobboo7boobbo29bo
7bo$85bobooboobo33bobo3bobo$77boo8booboo8boo21b5o7b5o$76boobo4bo3bobo
3bo4boboo19bobbo11bobbo$76bobbo6b3ob3o6bobbo20bob3o7b3obo$75b4obb3obb
oo3boobb3obb4o21boboo5boobo$76boo3b3o11b3o3boo10boo9boobobo3boboboo$
76b3o21b3o10boo9b3obo5bob3o$80b4o11b4o63b3o$81bobbo9bobbo30boo3boo29bo
$80bobo13bobo31bobo30bo$78bo21bo26bo7bo109b3o9b3o$78bo21bo26boo5boo
109bobbo7bobbo$77bo23bo22boo11boo105boo13boo$78bo21bo21boboo11boobo
101boobo3bo5bo3boboo$76booboo17booboo19boobboo7boobboo104b3oboo3boob3o
$76bobboo8bo8boobbo19bobbobbo5bobbobbo100bo21bo$76bo3bo7bobo7bo3bo20bo
4bo5bo4bo102bobob5o3b5obobo$76bo10bo3bo10bo20bobbobbo3bobbobbo102bo3bo
bboo3boobbo3bo$76bo3bob3obooboboob3obo3bo17bo5bo9bo5bo99bo3b3o7b3o3bo$
81b4obbooboobb4o23bobo15bobo100bo4bo9bo4bo$77bo5boobbobobobboo5bo23bo
11bo108b3o7b3o$81bo4booboboo4bo23bo3bobo7bobo3bo103bobboo5boobbo$80b3o
3booboboo3b3o22bobbo3bo5bo3bobbo106boo5boo$82bob3o5b3obo25boobboo7boo
bboo103boo4bo3bo4boo$79bo4bo9bo4bo26bo9bo106bo3bo3bobo3bo3bo$77boob4o
11b4oboo138boob3obobobobobobob3oboo$80b5o9b5o27b5ob5o102bo5boo4bobo4b
oo5bo$79bob4o9b4obo19bo6booboobooboo6bo94bo4boo15boo4bo$78bo21bo17b3o
7bo5bo7b3o93b3o8bo5bo8b3o$78bobo17bobo17bobboo5bo5bo5boobbo49boo51boo
7boo$78bo21bo19bo3b5o5b5o3bo50bobo52bobbobobbo$79boo17boo25boboo5boobo
57bo44bo8boo3boo8bo$79boob3o9b3oboo19bo3bo15bo3bo93bo3bo7bo5bo7bo3bo$
83bo11bo23boboobbo11bobboobo96bo23bo$84boo7boo24bob4o13b4obo91boo31boo
$84bobo5bobo27bo17bo93bobboo27boobbo$81b6o5b6o136boobbo27bobboo$82b4o
7b4o23bo21bo92boobbo25bobboo$83bo11bo23bobo19bobo92bobo27bobo$87bo3bo
26bo25bo$87bo3bo26bobbo19bobbo89b3o31b3o$122bo17bo93bo35bo$120bobbo6b
3o6bobbo89boobbo31bobboo$116bo4b4o4bo3bo4b4o4bo84boo39boo$117boboobo3b
oboo3boobo3boboobo84bobbo37bobbo$118bo5bob5ob5obo5bo84boo43boo$128bo5b
o93bo47bo$123bobboo7boobbo88b3o43b3o$122bobbobo7bobobbo88boo43boo$121b
oo4boo5boo4boo$122boboboo7boobobo86bobbobo39bobo$120boboobobo7boboboob
o83bo3bobo21b3o9b3o3bobo$119boo21boo109bo3bo7bo3bo$120boo19boo82bo3bob
o20bobo3bo5bo3bobobboo$120b6o11b6o83bo3bo21bo3boo7boo3bo$119boob4o11b
4oboo108b3o3bo5bo3b3o$119boobobo13boboboo107bo3boob3ob3oboo3bo$120bob
oo15boobo108boobbo3booboo3bobboo$120bo4boo9boo4bo107b3o3b5ob5o3b3o$
121bo4bo9bo4bo116bo5bo$122bo4bo7bo4bo114bo11bo$124b5o5b5o111bo4bo11bo
4bo$124b3obo5bob3o111bo4b4o5b4o4bo$123boobb3o3b3obboo114bo4bo3bo4bo$
123bo15bo113boob3o5b3oboo$124bo13bo114boobo3bobo3boboo$249b3o7booboo7b
3o$248bo3boo4bobobobo4boo3bo$247bo3bo19bo3bo$247bo9b3o3b3o9bo$251bo6b
oo3boo6bo$246bo12bo3bo12bo$246bobboo5bo9bo5boobbo$247boo8bo7bo8boo$
251bo6bo5bo6bo$251boo17boo$252bo17bo$261bo$249b3o8bobo8b3o$248bo6b3obo
3bob3o6bo$248boo5bob3o3b3obo5boo$246bo7bo13bo7bo$248b3oboboo11boobob3o
$254boo11boo$246b3oboobbobbo7bobbobboob3o$253bo4boo3boo4bo$251bo19bo$
253bobo11bobo$205b3o9b3o36bo9bo$205bobbo7bobbo34bo13bo$204boo13boo34bo
11bo$202boobo3bo5bo3boboo$205b3oboo3boob3o$201bo21bo$202bobob5o3b5obob
o$202bo3bobboo3boobbo3bo$202bo3b3o7b3o3bo$202bo4bo9bo4bo$206b3o7b3o$
205bobboo5boobbo14bo$208boo5boo12boo3bobo$204boo4bo3bo4boo8boo4bo$203b
o3bo3bobo3bo3bo11boobo$200boob3obobobobobobob3oboo8boo$199bo5boo4bobo
4boo5bo6bobo$198bo4boo15boo4bo6b3o$198b3o8bo5bo8b3o6boo$207boo7boo$
208bobbobobbo$200bo8boo3boo8bo$209bo5bo$198bobboo19boobbo$199boobbo17b
obboo$201bobbo15bobbo$$200bobbo7b3o7bobbo$200b3o4bobbo3bobbo4b3o$198bo
bbo3boobobo3boboboo3bobbo$198bobo3bo3bobooboobo3bo3bobo$198bobbobboob
3o5b3oboobbobbo$206bobo7bobo$205boo11boo$202b5obo7bob5o$202boobbo11bo
bboo$203boo15boo$204b3o11b3o$205boo11boo$199b3o3boo4b3o4boo$198bo3bo7b
o3bo$197bobo3bo5bo3bobo$197bo3boo7boo3bo$197b3o3bo5bo3b3o$196bo3boob3o
b3oboo3bo$196boobbo3booboo3bobboo$195b3o3b5ob5o3b3o$203bo5bo$200bo11bo
$195bo4bo11bo4bo$195bo4b4o5b4o4bo$199bo4bo3bo4bo$198boob3o5b3oboo$198b
oobo3bobo3boboo$194b3o7booboo7b3o$193bo3boo4bobobobo4boo3bo$192bo3bo
19bo3bo$192bo9b3o3b3o9bo$196bo6boo3boo6bo$191bo12bo3bo12bo$191bobboo5b
o9bo5boobbo$192boo8bo7bo8boo$190bo12bo5bo12bo$189b3o29b3o$188boobbo27b
obboo$191boo27boo$191bo29bo$$188bo35bo60bo11bo$189boo31boo59booboo7boo
boo$187bobbo31bobbo10bo46booboo7booboo$186bo39bo9bo45bo3boo7boo3bo$
185boo39boo8bo45b3o13b3o$184b4o37b4o56b3obooboob3o$183bo45bo51b3o5boob
oo5b3o$183b3o41b3o50bo5boo7boo5bo$182bo47bo48bo6boobbobobboo6bo$184boo
41boo56b3obbobobb3o$186bo39bo52bo6bo9bo6bo$184boo41boo51boo5bo7bo5boo$
185bo41bo56boobboo3boobboo$184bo43bo55b5o5b5o$184bo43bo53bo7bobo7bo$
229boo50bobbo3b3ob3o3bobbo$229boboo45b3o21b3o$232bo45booboobobbobbobo
bbobbobooboo$231boo45b3o6bobbobobbo6b3o$227bo3bo46b3o7bo5bo7b3o$228bo
47booboo6boo5boo6booboo$229bobbo43b3o8boo5boo8b3o$232bo45bobbo5bo7bo5b
obbo$276bob5o6bo3bo6b5obo$260bo15boboboboo5bo3bo5boobobobo$261bo18bo3b
o13bo3bo$259b3o19b4o13b4o$281bo3bo11bo3bo$281boboboo9boobobo$313bo11bo
$280boo3boo9boo3boo8booboo7booboo$279bo6bo9bo6bo7booboo7booboo$279bobo
4bo4bo4bo4bobo6bo3boo7boo3bo$286bo3b3o3bo13b3o13b3o$281b4obobbooboobbo
b4o11b3obooboob3o$227bo11bo38b3o4bo3booboo3bo4b3o4b3o5booboo5b3o$226bo
bo9bobo38boo8booboo8boo4bo5boo7boo5bo$225booboo7booboo44boo3bo3boo10bo
6boobbobobboo6bo$225bo15bo43bo11bo15b3obbobobb3o$225b3obbo5bobb3o42bo
3boo3boo3bo8bo6bo9bo6bo$223bo7bo3bo7bo39bobboobb3obboobbo8boo5bo7bo5b
oo$224boobbooboobooboobboo40bobo11bobo12boobboo3boobboo$224bobo4bo3bo
4bobo69b5o5b5o$221b3ob3obboo3boobb3ob3o37boo13boo10bo7bobo7bo$221boob
4ob3o3b3ob4oboo38boo11boo10bobbo3b3ob3o3bobbo$222b4o4boo3boo4b4o36bobb
o13bobbo4b3o21b3o$223bo5boo5boo5bo36bobobboo9boobbobo3booboobobbobbobo
bbobbobooboo$227bobbo5bobbo42bo17bo5b3o6bobbobobbo6b3o$226b3obo5bob3o
40boo17boo4b3o7bo5bo7b3o$225bo5booboo5bo44bo9bo7booboo6boo5boo6booboo$
224b3obooboobooboob3o40bobo11bobo4b4o7boo5boo7b4o$221booboo15booboo38b
o13bo16bo7bo$220boobooboob4ob4oboobooboo70bo3bo$230boo3boo48boo15b3o
12bo3bo12b3o$221bo23bo39bobo13bo3bo27bo3bo$218booboo6bo7bo6booboo36bo
14bo3boo27boo3bo$218boo9boo5boo9boo35b3o16bo31bo$284bobo12bo39bo$218b
3ob3o5b3ob3o5b3ob3o34bobbo13bobo33bobo$218boobbobbo15bobbobboo35bobo
15bo33bo$222bo3bo13bo3bo56boo33boo$223b4o13b4o56b3o33b3o$227boo9boo45b
o12boobo35boboo$224boo15boo41b3o11bobbo35bobbo$223b3obo11bob3o53bo43bo
$223boobbo11bobboo40bobo9b3o41b3o$221bo3b3o11b3o3bo38b3o8bo47bo$221b3o
b3o5bo5b3ob3o49boboo41boobo$222boboobo4bobo4boboobo52boo6b3o9b3o20boo$
220bobbobbobobbo3bobbobobbobbo35bo5bo5bobboo5bo3bo7bo3bo19boobbo$221b
oo4bo3bo3bo3bo4boo35bobo3bobo13bobo3bo5bo3bobo$221bo8boo3boo8bo35boo5b
oo6bobo4bo3boo7boo3bo18bobo$229bobo3bobo59bo5b3o3bo5bo3b3o19bo$227bob
oob3oboobo62bo3boob3ob3oboo3bo$226boboobb3obboobo53b3o5boobbo3booboo3b
obboo$225bobbo4bo4bobbo51boobo4b3o3b5ob5o3b3o$225b3o11b3o52boboo11bo5b
o$226bo13bo54b3o8bo11bo$226bo13bo54bobo3bo4bo11bo4bo$226b3o9b3o40boo
10b4o4bo4b4o5b4o4bo$223bo19bo37boo10boo10bo4bo3bo4bo$222bobobboo9boobb
obo59boob3o5b3oboo$222bobobboo9boobbobo59boobo3bobo3boboo$224b4o11b4o
57b3o7booboo7b3o$225b3o11b3o57bo3boo4bobobobo4boo3bo$225b3o11b3o56bo3b
o19bo3bo$298bo9b3o3b3o9bo$302bo6boo3boo6bo$238bo42boo14bo12bo3bo12bo$
238boo41boo14bobboo5bo9bo5boobbo$237bobo58boo8bo7bo8boo$296bo12bo5bo
12bo$239boo54b3o29b3o$238b3o53boobbo27bobboo$238bobo56boo27boo$198b3o
9b3o84bo29bo$198bobo9bobo$197bobbo9bobbo38boo40bo35bo$197bob4o5b4obo
24b3o10boob3o38boo31boo$195boo4bobo3bobo4boo23bo12b5o36bobbo31bobbo$
196b3oboobo3boboob3o23bobo12b3o36bo39bo$194bo8bo3bo8bo22bo51boo39boo$
194bobobboobo5boboobbobo22bo50b4o37b4o$193bo3boo4bo3bo4boo3bo42bo11bo
16bo45bo$194bobo5bo5bo5bobo19bo5bo15booboo7booboo14b3o41b3o$195bo4b3o
5b3o4bo19bobo3bobo14booboo7booboo13bo47bo$235boo5boo13bo3boo7boo3bo5b
oo7boo41boo$199boobo5boboo45b3o13b3o5boo9bo39bo$197booboobo3bobooboo
46b3obooboob3o17boo41boo$197booboobooboobooboo42b3o5booboo5b3o14bo41bo
$194boo8bobo8boo38bo5boo7boo5bo12bo43bo$192boo3bob6ob6obo3boo35bo6boo
bbobobboo6bo11bo43bo$193bobo3boo9boo3bobo42b3obbobobb3o15boo$191boboo
3bo13bo3boobo34bo6bo9bo6bo7boobo$191bobo6b3o5b3o6bobo15boo5boo11boo5bo
7bo5boo8bo$191boo25boo15boo5boo15boobboo3boobboo12boo$203bo3bo51b5o5b
5o7bobo3bo3bo$200bo3bobo3bo46bo7bobo7bo6bo7bo$201bobo3bobo46bobbo3b3ob
3o3bobbo9bobbo$188b3o29b3o30b3o21b3o6bo$188bobbo27bobbo30booboobobbobb
obobbobbobooboo$187bo4bo25bo4bo29b3o6bobbobobbo6b3o$186boo35boo28b3o7b
o5bo7b3o$187bobobbo25bobbobo11boo5boo7booboo6boo5boo6booboo$235boo5boo
7b4o7boo5boo7b4o$187bobbo29bobbo38bo7bo$187bobbo29bobbo40bo3bo$185bobo
35bobo29b3o6bo3bo6b3o$184b3o37b3o30bo17bo$186bo37bo28bo25bo$182bo45bo
24bobbo8b3o8bobbo$181boboo41boobo25boo4bo3b3o3bo4boo$181bobo43bobo23b
ooboobb3obobobob3obbooboo$180boo47boo21bobb3obbobobbobobbobobb3obbo$
181bo47bo21b3oboo3b3obooboob3o3boob3o$182b3o41b3o22boo7bob9obo7boo$
183bo43bo24bob3o3bobooboboboobo3b3obo$256b3o5bo3bo5b3o$257bo17bo$226bo
bo29b3o11b3o$227booboo27boo11boo$228bobobo26bobo9bobo$227boo$228bobobb
o8boo17bo9bo$229bobbo9b3o15bo11bo$205b3o9b3o10boo9bobbo24bo11bo$204bo
3bo7bo3bo20bobbo23bobo9bobo$203bobo3bo5bo3bobo20boo23booboo7booboo$
203bo3boo7boo3bo45bo15bo$203b3o3bo5bo3b3o27boo16b3obbo5bobb3o$202bo3b
oob3ob3oboo3bo25boobo13bo7bo3bo7bo$202boobbo3booboo3bobboo15bo12bo14b
oobbooboobooboobboo$201b3o3b5ob5o3b3o14bo27bobo4bo3bo4bobo$209bo5bo22b
o24b3ob3obboo3boobb3ob3o$206bo11bo31b3o10boob4ob3o3b3ob4oboo$201bo4bo
11bo4bo40b4o4boo3boo4b4o$201bo4b4o5b4o4bo41bo5boo5boo5bo$205bo4bo3bo4b
o49bobbo5bobbo$204boob3o5b3oboo47b3obo5bob3o$204boobo3bobo3boboo46bo5b
ooboo5bo$200b3o7booboo7b3o41b3obooboobooboob3o$199bo3boo4bobobobo4boo
3bo37booboo15booboo$198bo3bo19bo3bo35boobooboob4ob4oboobooboo$198bo9b
3o3b3o9bo45boo3boo$202bo6boo3boo6bo40bo23bo$197bo12bo3bo12bo32booboo6b
o7bo6booboo$197bobboo5bo9bo5boobbo33boo8boo5boo8boo$198boo8bo7bo8boo$
196bo12bo5bo12bo43b3ob3o$195b3o29b3o29bo31bo$194boobbo27bobboo27b3o29b
3o$197boo27boo29booboo27booboo$197bo29bo28b3o33b3o$256boo35boo$194bo
35bo11boo12b3o33b3o$195boo31boo12boo14bo33bo$193bobbo31bobbo$192bo39bo
24boo33boo$191boo39boo20boobo35boboo$190b4o37b4o19bobbo35bobbo$189bo
45bo20bo37bo$189b3o41b3o16boo43boo$188bo47bo14boboo41boobo$190boo41boo
7boo7boboo41boobo$192bo39bo9boo6boo47boo$190boo41boo15boobo43boboo$
191bo41bo18b3o41b3o$190bo43bo17b3o41b3o$190bo43bo$235boo$235boboo12boo
$238bo10boobo$237boo11bo$233bo3bo11bobboo$234bo17boo$235bobbo9bobbo$
238bo10boo7$247b3o$249bo$248bo43$310b3o$312bo$311bo43$373b3o$375bo$
374bo!

BCNU,
-dbell

[I6_I6]

Growing spaceship with 8c/16 frontend and 8c/27 backend:

Code: Select all

x = 35, y = 21, rule = B3/S23
7bo19bo$6b3o3b3o5b3o3b3o$5b2obo2bo2bo5bo2bo2bob2o$5b3o6bo5bo6b3o$5b3o
2bo3bo5bo3bo2b3o$5b3o2bo2bo7bo2bo2b3o$6bobo17bobo$6b3o17b3o$7bo19bo$7b
2o17b2o$3o29b3o$o2bo27bo2bo$o33bo$o3bo25bo3bo$o33bo$bobo27bobo$9b2o3b
o5bo3b2o$4b2o3b2o2bobo3bobo2b2o3b2o$12bo3bobo3bo$12bo3bobo3bo$12b2ob2o
b2ob2o!

8c/27 just so happens to be the exact speed of this other fuse:

A very near miss for a new crawler. I debated whether I wanted to post it to the crawlers thread but decided not to.

Code: Select all

x = 9, y = 68, rule = B3/S23
2b2ob2o$2b2ob2o7$2b2ob2o$2b2ob2o7$2b2ob2o$2b2ob2o7$2b2ob2o$2b2ob2o7$2b
2ob2o$2b2ob2o7$2b2ob2o$2b2ob2o7$2b2ob2o$2b2ob2o7$2b2ob2o$2b2ob2o8$3o3b
3o$o2bobo2bo$ob2ob2obo!

Speed is 8c/27.

So naturally, I had to build these:

Code: Select all

x = 59, y = 65, rule = B3/S23:T60,71
6b2ob2o25b2ob2o$6b2ob2o25b2ob2o7$6b2ob2o25b2ob2o$6b2ob2o25b2ob2o7$6b2o
b2o25b2ob2o$6b2ob2o25b2ob2o7$6b2ob2o25b2ob2o$6b2ob2o25b2ob2o7$6b2ob2o
25b2ob2o$6b2ob2o25b2ob2o7$6b2ob2o25b2ob2o$6b2ob2o25b2ob2o6$4b3o3b3o21b
3o3b3o$4bo2bobo2bo21bo2bobo2bo$3bo3bobo3bo19bo3bobo3bo$3bobobobobobo19b
obobobobobo$4b2obobob2o21b2obobob2o$5b3ob3o23b3ob3o5$2o13b2o3bo5bo3b2o
13b2o3bo5bo$2o13b2o2bobo3bobo2b2o13b2o2bobo3bobo$18bo3bobo3bo19bo3bob
o3bo$18bo3bobo3bo19bo3bobo3bo$18b2ob2ob2ob2o19b2ob2ob2ob2o2$6b2ob2o25b
2ob2o$6b2ob2o25b2ob2o!

Code: Select all

x = 66, y = 81, rule = B3/S23
34b3o4bo$33bo2bo3b3o$36bo3bob2o$32bo3bo4b3o$32bo3bo4b2o$36b2o$6b3o4bo
22b2o$5bo2bo3b3o19bobo$8bo3bob2o18b3o6b3o$4bo3bo4b3o13bo6b2o4bo2bo$4b
o3bo4b2o13b3o5b3o6bo$8b2o18bob2o3b2o2bobo3bo$8b2o19b3o2bo2b2o2bo3bo$6b
obo20b3o2bob2o7bo$15b3o11b3o4b2o4bobo$bo5b2o5bo2bo11b2o$3o14bo$ob2o9b
o3bo$b3o9bo3bo$b3o13bo$b3o10bobo$b2o19bo4b3o22bo4b3o$21b3o3bo2bo20b3o
3bo2bo$20b2obo3bo22b2obo3bo$7bobo10b3o4bo3bo5bobo10b3o4bo3bo$8b2o11b2o
4bo3bo6b2o11b2o4bo3bo$8bo17b2o10bo17b2o$26b2o2bo25b2o2bo$27b2o28b2o$18b
3o27b3o$18bo2bo12bo13bo2bo12bo$18bo14b3o12bo14b3o$18bo3bo9b2obo12bo3b
o9b2obo$18bo3bo9b3o13bo3bo9b3o$18bo6bo6b3o13bo6bo6b3o$19bobo3b2o2bo2b
3o14bobo3b2o2bo2b3o$11bobo11b2o2bo3b2o6bobo11b2o2bo3b2o$12b2o13b2o13b
2o13b2o$12bo29bo10$15bobo5bobo19bobo5bobo$16b2o5b2o21b2o5b2o$16bo7bo21b
o7bo9$18b2ob2o25b2ob2o$18b2ob2o25b2ob2o6$16b3o3b3o21b3o3b3o$16bo2bobo
2bo21bo2bobo2bo$15bo3bobo3bo19bo3bobo3bo$15bobobobobobo19bobobobobobo
$16b2obobob2o21b2obobob2o$17b3ob3o23b3ob3o5$12b2o13b2o3bo5bo3b2o13b2o
$12b2o13b2o2bobo3bobo2b2o13b2o$30bo3bobo3bo$30bo3bobo3bo$30b2ob2ob2ob
2o!

[WhiteHawk]

Growing spaceship with 8c/16 frontend and 8c/27 backend:

Code: Select all

8c/27 just so happens to be the exact speed of this other fuse:

A very near miss for a new crawler. I debated whether I wanted to post it to the crawlers thread but decided not to.

Code: Select all

Speed is 8c/27.

So naturally, I had to build these:

Code: Select all

Code: Select all

So the reaction could theoretically actually make a new crawler speed (8c/27) with the gliders produced, correct? Cool if so!

[qqd]

...
[8c/27]
So naturally, I had to build these:

Code: Select all

x = 59, y = 65, rule = B3/S23:T60,71
6b2ob2o25b2ob2o$6b2ob2o25b2ob2o7$6b2ob2o25b2ob2o$6b2ob2o25b2ob2o7$6b2o
b2o25b2ob2o$6b2ob2o25b2ob2o7$6b2ob2o25b2ob2o$6b2ob2o25b2ob2o7$6b2ob2o
25b2ob2o$6b2ob2o25b2ob2o7$6b2ob2o25b2ob2o$6b2ob2o25b2ob2o6$4b3o3b3o21b
3o3b3o$4bo2bobo2bo21bo2bobo2bo$3bo3bobo3bo19bo3bobo3bo$3bobobobobobo19b
obobobobobo$4b2obobob2o21b2obobob2o$5b3ob3o23b3ob3o5$2o13b2o3bo5bo3b2o
13b2o3bo5bo$2o13b2o2bobo3bobo2b2o13b2o2bobo3bobo$18bo3bobo3bo19bo3bob
o3bo$18bo3bobo3bo19bo3bobo3bo$18b2ob2ob2ob2o19b2ob2ob2ob2o2$6b2ob2o25b
2ob2o$6b2ob2o25b2ob2o!

...

This 8c/27 end can also be supported by gliders:

Code: Select all

x = 157, y = 123, rule = B3/S23
obo151bobo$b2o151b2o$bo153bo12$8bo139bo$9bo137bo$7b3o137b3o13$14bo127b
o$15b2o123b2o$14b2o125b2o13$22bo111bo$20bobo53b2ob2o53bobo$21b2o53b2o
b2o53b2o7$76b2ob2o$76b2ob2o5$27bobo97bobo$28b2o97b2o$28bo47b2ob2o47bo
$76b2ob2o7$76b2ob2o$76b2ob2o3$35bo85bo$36bo83bo$34b3o83b3o2$76b2ob2o$
76b2ob2o7$76b2ob2o$76b2ob2o2$41bo73bo$42b2o69b2o$41b2o71b2o3$76b2ob2o
$76b2ob2o7$76b2ob2o$76b2ob2o$49bo57bo$47bobo57bobo$48b2o57b2o3$74b3o3b
3o$74bo2bobo2bo$73bo3bobo3bo$73bobobobobobo$74b2obobob2o$75b3ob3o5$54b
obo3bo5bo3b2o13b2o3bo5bo3bobo$55b2o2bobo3bobo2b2o13b2o2bobo3bobo2b2o$
55bo2bo3bobo3bo19bo3bobo3bo2bo$58bo3bobo3bo19bo3bobo3bo$58b2ob2ob2ob2o
19b2ob2ob2ob2o!

[dbell]

Here are orthogonal 3c/7 rakes for periods 42, 56, 63, 70, and 84 which are smaller than the previous rakes of those periods.

They are all based on the period 154 dirty puffer found by Dylan Chen in 2021.

These new rakes were pretty easy to find since perturbations which create blinkers are so common. (The blinkers can then be turned into forward gliders to finish the rake.) I just had to find perturbations which didn't leave undeletable debris.

Code: Select all

#C An orthogonal 3c/7 period 42 forward glider rake.
#C This is created by perturbing a puffer by Dylan Chen.
#C David I. Bell, 31 October 2026
x = 115, y = 156, rule = B3/S23
53b3o5b3o$52bo3bo3bo3bo$52boo3bobo3boo$52boboobbobboobo$56b5o$51boo5bo
5boo$52boo9boo$51booboo5booboo$52bo11bo$49booboboo5booboboo$53bo9bo$$
54boo5boo$53b3o5b3o$52b4o5b4o$52bo11bo$53bobbooboobbo$53b3o5b3o$54boo
5boo$50booboo7booboo$49bo3boo7boo3bo$48bo5bo7bo5bo$48boobobboo5boobbob
oo$48boobo3bo5bo3boboo$51bob3o5b3obo$50boboo9boobo$$50boo13boo$49b6o7b
6o$50bob3o7b3obo$49boo3bo7bo3boo$$54b3o3b3o$52b3obo3bob3o$46boo4bo4bob
o4bo4boo$44booboo5b3o3b3o5booboo$44boo5bo13bo5boo$45bob5o4bo3bo4b5obo$
47boobbo4bo3bo4bobboo$48boob3o9b3oboo$46bo5boo9boo5bo$51bo13bo$46bobbo
17bobbo$47bobo17bobo$47bo21bo$46b3o19b3o$45bobbo19bobbo$45bo25bo$46b3o
9bo9b3o$47bo9b3o9bo$56bo3bo$46boo3boo3bobobo3boo3boo$45bobooboob4obob
4obooboobo$19bo11bo18booboobb3obbooboo$18bobo9bobo19bobo7bobo$17booboo
7booboo15bobb3o7b3obbo15b3o9b3o$17bo15bo14bo3boo9boo3bo13bo3bo7bo3bo$
17b3obbo5bobb3o13b3o17b3o11bobo3bo5bo3bobo$15bo7bo3bo7bo10bobbobboo9b
oobbobbo10bo3boo7boo3bo$16boobbooboobooboobboo14bobboo9boobbo13b3o3bo
5bo3b3o$16bobo4bo3bo4bobo11bo5boo9boo5bo9bo3boob3ob3oboo3bo$13b3ob3obb
oo3boobb3ob3o9b6o11b6o10boobbo3booboo3bobboo$13boob4ob3o3b3ob4oboo12b
oo13boo12b3o3b5ob5o3b3o$14b4o4boo3boo4b4o14bo13bo21bo5bo$15bo5boo5boo
5bo13b3o13b3o16bo11bo$19bobbo5bobbo16b4o13b4o10bo4bo11bo4bo$18b3obo5bo
b3o16boobbo9bobboo11bo4b4o5b4o4bo$17bo5booboo5bo14bobbooboo5booboobbo
14bo4bo3bo4bo$16b3obooboobooboob3o16b4o7b4o16boob3o5b3oboo$13booboo15b
ooboo12bo15bo15boobo3bobo3boboo$12boobooboob4ob4oboobooboo17bo3bo17b3o
7booboo7b3o$22boo3boo25bobbobobbo14bo3boo4bobobobo4boo3bo$13bo23bo16bo
bo3bobo13bo3bo19bo3bo$10booboo6bo7bo6booboo35bo9b3o3b3o9bo$11boo8boo5b
oo8boo18bo21bo6boo3boo6bo$56booboo14bo12bo3bo12bo$22b3ob3o27booboo14bo
bboo5bo9bo5boobbo$9bo31bo13bobobobo14boo8bo7bo8boo$8b3o29b3o15bo15bo
12bo5bo12bo$7booboo27booboo11bo5bo11b3o29b3o$6b3o33b3o11bobobo11boobbo
6bo11bo8bobboo$6boo35boo11b5o14boo5bobo9bobo7boo$6b3o33b3o8b3o5b3o11bo
5booboo7booboo7bo$8bo33bo10boobb3obboo17bo15bo$54bo3bo3bo9bo8b3obbo5bo
bb3o10bo$7boo33boo29boo4bo7bo3bo7bo6boo$4boobo35boboo24bobbo5boobboob
oobooboobboo7bobbo$4bobbo35bobbo23bo9bobo4bo3bo4bobo11bo$6bo37bo11boob
oo8boo6b3ob3obboo3boobb3ob3o8boo$bboo43boo8b3o8b4o5boob4ob3o3b3ob4oboo
7b4o$boboo41boobo6bobobo6bo10b4o4boo3boo4b4o12bo$boboo41boobo5booboboo
5b3o9bo5boo5boo5bo11b3o$oo47boo4bo5bo4bo16bobbo5bobbo18bo$oobo43boboo
4bo5bo6boo12b3obo5bob3o14boo$bb3o41b3o7bo3bo9bo10bo5booboo5bo12bo$bb3o
41b3o9bo9boo10b3obooboobooboob3o12boo$69bo7booboo15booboo9bo$68bo7boob
ooboob4ob4oboobooboo9bo$55boo11bo17boo3boo19bo$52b5o20bo23bo$54bo4boo
13booboo6bo7bo6booboo$54b4oboo14boo8boo5boo8boo$54bo$56bobboo25b3ob3o$
54bo5bo12bo31bo$55bo16b3o29b3o$58bo12booboo27booboo$70b3o33b3o$70boo
35boo$70b3o33b3o$56boo14bo33bo$52boo$52bo3boo13boo33boo$51boo15boobo
35boboo$52b3obbo10bobbo35bobbo$70bo37bo$66boo43boo$65boboo41boobo$65bo
boo41boobo$64boo47boo$55bobo6boobo43boboo$55bobbo7b3o41b3o$54bo3bo7b3o
41b3o$55bobbo$55bobo$65boo$63boobo$64bo$63bobboo$66boo$62bobbo$63boo7$
61b3o$63bo$62bo5$72boo$71bobo$73bo6$82b3o$84bo$83bo!

Code: Select all

#C An orthogonal 3c/7 period 56 forward glider rake.
#C This is created by perturbing a puffer by Dylan Chen.
#C David I. Bell, 31 October 2026
x = 118, y = 169, rule = B3/S23
52b3o5b3o$52bobo5bobo$52bobo5bobo$50boboo3bo3boobo$50boo4bobo4boo$54b
ooboboo$53bo7bo$53bobo3bobo$49b5o7b5o$48bobbo11bobbo$49bob3o7b3obo$51b
oboo5boobo$50boobobo3boboboo$50b3obo5bob3o$$54boo3boo$56bobo$53bo7bo$
53boo5boo$50boo11boo$48boboo11boobo$48boobboo7boobboo$48bobbobbo5bobbo
bbo$49bo4bo5bo4bo$49bobbobbo3bobbobbo$46bo5bo9bo5bo$47bobo15bobo$51bo
11bo$47bo3bobo7bobo3bo$47bobbo3bo5bo3bobbo$48boobboo7boobboo$52bo9bo$$
52b5ob5o$45bo6booboobooboo6bo$44b3o7bo5bo7b3o$44bobboo5bo5bo5boobbo$
46bo3b5o5b5o3bo$51boboo5boobo$45bo3bo15bo3bo$45boboobbo11bobboobo$45bo
b4o13b4obo$48bo17bo$$46bo21bo$45bobo19bobo$44bo25bo$44bobbo19bobbo$48b
o17bo$46bobbo6b3o6bobbo$42bo4b4o4bo3bo4b4o4bo$43boboobo3boboo3boobo3bo
boobo$44bo5bob5ob5obo5bo$54bo5bo$49bobboo7boobbo$48bobbobo7bobobbo$18b
o11bo16boo4boo5boo4boo16b3o9b3o$17b3o9b3o16boboboo7boobobo17bobbo7bobb
o$16bobboo7boobbo13boboobobo7boboboobo14boo13boo$15bo3bobo5bobo3bo11b
oo21boo11boobo3bo5bo3boboo$14boobooboo5boobooboo11boo19boo15b3oboo3boo
b3o$14b4o3bo5bo3b4o11b6o11b6o11bo21bo$14bo3b4obobob4o3bo10boob4o11b4ob
oo11bobob5o3b5obobo$18bo11bo14boobobo13boboboo11bo3bobboo3boobbo3bo$
13bobo3boobbobobboo3bobo10boboo15boobo12bo3b3o7b3o3bo$14bo4bobo5bobo4b
o11bo4boo9boo4bo12bo4bo9bo4bo$47bo4bo9bo4bo17b3o7b3o$17boobo7boboo16bo
4bo7bo4bo17bobboo5boobbo$17b5o5b5o18b5o5b5o22boo5boo$16boo4bo3bo4boo
17b3obo5bob3o18boo4bo3bo4boo$19b4o3b4o19boobb3o3b3obboo16bo3bo3bobo3bo
3bo$13bob3obobobobobobob3obo13bo15bo13boob3obobobobobobob3oboo$12b3obb
o5bobo5bobb3o13bo13bo13bo5boo4bobo4boo5bo$11boobbo7bobo7bobboo39bo4boo
15boo4bo$10boo3bo4bo7bo4bo3boo18bo19b3o8bo5bo8b3o$20bobo3bobo27b3o27b
oo7boo$20bobbobobbo27bobo28bobbobobbo$13bo7boo3boo7bo18boo3boo18bo8boo
3boo8bo$9boboo23boobo14bobobobo15bo3bo7bo5bo7bo3bo$9b4o7bo7bo7b4o13bo
7bo17bo23bo$7boobo27boboo11bo3bo3bo12boo31boo$6bobbo29bobbo10bo7bo11bo
bboo27boobbo$6boobbo27bobboo10bobooboobo11boobbo27bobboo$8b3o27b3o12bo
7bo12boobbo25bobboo$9boo27boo12b3o5b3o12bobo27bobo$52b5ob5o$7bo33bo13b
ooboo13b3o31b3o$6b3o31b3o13b3o14bo35bo$7boo31boo29boobbo10bo11bo8bobb
oo$3b3o37b3o10b3o11boo13bobo9bobo11boo$bbo43bo8bo3bo9bobbo11booboo7boo
boo9bobbo$bbobbo37bobbo8booboo8boo14bo15bo12boo$bo45bo8b3o8bo16b3obbo
5bobb3o14bo$3o43b3o18b3o12bo7bo3bo7bo10b3o$68boo13boobbooboobooboobboo
11boo$3bo41bo12boo23bobo4bo3bo4bobo$4bo39bo8b3ob3o9bobo8b3ob3obboo3boo
bb3ob3o6bobo$bb3o39b3o9bo12bobo8boob4ob3o3b3ob4oboo6bobo$3bo41bo6bobb
4o6bo15b4o4boo3boo4b4o$bboo41boo6bobb3obboo6boo11bo5boo5boo5bo9boo$61b
ooboo20bobbo5bobbo$60b3o22b3obo5bob3o$60bo23bo5booboo5bo$60bo22b3oboob
oobooboob3o$80booboo15booboo$79boobooboob4ob4oboobooboo$89boo3boo$80bo
23bo$77booboo6bo7bo6booboo$78boo8boo5boo8boo$$89b3ob3o$76bo31bo$75b3o
29b3o$74booboo27booboo$73b3o33b3o$73boo35boo$73b3o33b3o$75bo33bo$$74b
oo33boo$71boobo35boboo$71bobbo35bobbo$62bo10bo37bo$62bo6boo43boo$62bo
5boboo41boobo$68boboo41boobo$67boo47boo$67boobo43boboo$69b3o41b3o$69b
3o41b3o3$68boo$66boobo$67bo$66bobboo$69boo$65bobbo$66boo7$64b3o$66bo$
65bo8$78b3o$80bo$79bo8$92b3o$94bo$93bo!

Code: Select all

#C An orthogonal 3c/7 period 63 forward glider rake.
#C This is created by perturbing a puffer by Dylan Chen.
#C David I. Bell, 31 October 2026
x = 116, y = 174, rule = B3/S23
52bo7bo$51b3o5b3o$50bobboo3boobbo$49boob9oboo$50boboo5boobo$49b3oboo3b
oob3o$49b3o4bo4b3o$52bo7bo$49bobbo7bobbo$48bobo11bobo$49boobo7boboo$
51boo7boo$52bo7bo$51bobo5bobo$50bo3bo3bo3bo$50bobbo5bobbo$50bobboo3boo
bbo$50booboo3booboo$51bo9bo$50bo11bo$48bobo11bobo$47boobobbo5bobboboo$
46bobo15bobo$45bo6boo5boo6bo$46boobobobbo3bobboboboo$47bobobobo5bobobo
bo$49b3o9b3o$48bobo11bobo$47bo3bo9bo3bo$47bo4bo7bo4bo$53bo5bo$47b3obbo
7bobb3o$52bo7bo$52bobo3bobo$50bobobooboobobo$43b4o3bo4bobo4bo3b4o$42bo
bboo6boo3boo6boobbo$49bo4bo3bo4bo$42booboboboo11booboboboo$44bo23bo$
46b4obo9bob4o$48bobbo9bobbo$50bo11bo$46bobo15bobo$44boo21boo$$44bobo
19bobo$43bobbo19bobbo$43bobbo19bobbo$44b3o8b3o8b3o$44b3o8b3o8b3o$44boo
8bo3bo8boo$44b3ob5obo3bob5ob3o$45b3o6bo3bo6b3o$47boo5b5o5boo$18bo11bo
17bo4bobbobbo4bo$17b3o9b3o17bobbo7bobbo$16bobboo7boobbo12bo4bobo7bobo
4bo$15bo3bobo5bobo3bo11bobo17bobo$14boobooboo5boobooboo10bobooboo9boob
oobo$14b4o3bo5bo3b4o14bobbo7bobbo$14bo3b4obobob4o3bo10bo21bo$18bo11bo
14b3o3bo9bo3b3o$13bobo3boobbobobboo3bobo10bo19bo18bo11bo$14bo4bobo5bob
o4bo12bobbo11bobbo18b3o9b3o$46bo3bo11bo3bo19bo9bo$17boobo7boboo14bo3bo
11bo3bo15boboo11boobo$17b5o5b5o19boo7boo20bo4b3o3b3o4bo$16boo4bo3bo4b
oo14bo5bo5bo5bo15bob3ob3o3b3ob3obo$19b4o3b4o18bo3boo5boo3bo$13bob3obob
obobobobob3obo13b3o9b3o16b3ob4obo3bob4ob3o$12b3obbo5bobo5bobb3o43boo7b
o3bo7boo$11boobbo7bobo7bobboo16booboo21b3obboboo5boobobb3o$10boo3bo4bo
7bo4bo3boo14bo5bo$20bobo3bobo56bobbo5bobbo$20bobbobobbo26b3o27bo11bo$
13bo7boo3boo7bo18bo3bo24boobbobo3bobobboo$9boboo23boobo13bo5bo23bo3b3o
3b3o3bo$9b4o7bo7bo7b4o15bobo23boo4bobbobobbo4boo$7boobo27boboo12bobobo
20bobooboboobbobobbooboboobo$6bobbo29bobbo12bobo20boobo3bo3bo3bo3bo3bo
boo$6boobbo27bobboo10booboboo17bobo3boo13boo3bobo$8b3o27b3o11bobobobob
o16boo8bo7bo8boo$9boo27boo11bobo5bobo16bo7b3o5b3o7bo$55b3o28boobo3bob
oo$7bo33bo9boobb3obboo25b3o3b3o$6b3o31b3o36boo7boo3boo7boo$7boo31boo
33bo31bo$3b3o37b3o28b3o29b3o$bbo43bo7booboo14bobboo27boobbo$bbobbo37bo
bbo9bo16bo3boo25boo3bo$bo45bo8bo16boboboo3b3o9b3o7boobobo$3o43b3o25b3o
4bo3bo7bo3bo8b3o$54bo3bo16boo3bobo3bo5bo3bobo7boo$3bo41bo7boboboboo12b
oo5bo3boo7boo3bo9boo$4bo39bo6bo3bobo4bo10bobo4b3o3bo5bo3b3o8bobo$bb3o
39b3o4bobbo3bo3bo7b3o6bo3boob3ob3oboo3bo10b3o$3bo41bo4bo3bo3bo3bo7bo8b
oobbo3booboo3bobboo12bo$bboo41boo4boo15boobo6b3o3b5ob5o3b3o10boboo$68b
oo16bo5bo20boo$67bo15bo11bo19bo$67bobo8bo4bo11bo4bo12bobo$67bobo8bo4b
4o5b4o4bo12bobo$68b3o11bo4bo3bo4bo15b3o$81boob3o5b3oboo$81boobo3bobo3b
oboo$59bo9bo7b3o7booboo7b3o11bo$58bobo15bo3boo4bobobobo4boo3bo$58bobo
14bo3bo19bo3bo$58bo16bo9b3o3b3o9bo$60bo18bo6boo3boo6bo$56booboo13bo12b
o3bo12bo$50bo5b3o15bobboo5bo9bo5boobbo$49bobo23boo8bo7bo8boo$48bo3boo
4b3o12bo12bo5bo12bo$48bo3bobo4boo11b3o29b3o$48booboo4boboo10boobbo27bo
bboo$53boo4bo14boo27boo$55bo3bo14bo29bo$$71bo35bo$72boo31boo$70bobbo
31bobbo$69bo39bo$58b3o7boo39boo$67b4o37b4o$66bo45bo$66b3o41b3o$65bo47b
o$67boo41boo$69bo39bo$67boo41boo$68bo41bo$67bo43bo$67bo43bo$65boo$63b
oobo$63bo$63boo$64bo3bo$67bo$63bobbo$63bo6$62boo$61bobo$63bo9$78bo$78b
oo$77bobo10$93b3o$95bo$94bo!

Code: Select all

#C An orthogonal 3c/7 period 70 forward glider rake.
#C This is created by perturbing a puffer by Dylan Chen.
#C David I. Bell, 31 October 2026
x = 117, y = 155, rule = B3/S23
55bo7bo$54bobo5bobo$53booboo3booboo$54bobo5bobo$52boboo3bo3boobo$52b7o
b7o$56b7o$55bobooboobo$52boobo7boboo$51b3oboo5boob3o$50bo17bo$53boboo
5boobo$$57bo3bo$52bob3o5b3obo$53bob3o3b3obo$57bo3bo$56boo3boo$55boo5b
oo$54b3o5b3o$51b4o9b4o$50bo17bo$49boo3boo7boo3boo$50bobobobo5bobobobo$
50b3obb3o3b3obb3o$55bo7bo$50bo17bo$$50bobobo9bobobo$52b3o9b3o$49bob3o
bbo5bobb3obo$50boob3o7b3oboo$54boo7boo$54boboo3boobo$54bo3bobo3bo$46b
3o5bo3bobo3bo5b3o$46boboo6bo5bo6boobo$46bobbo3booboo3booboo3bobbo$49bo
bboo3bo3bo3boobbo$53bobbo5bobbo$48bobobobo9bobobobo$46boobo19boboo$52b
o13bo$49boo17boo$$48bo21bo$47boo21boo$46b3o21b3o$$49boo8bo8boo$52bo5b
3o5bo$47bo4bo3booboboo3bo4bo$45b4obobobo9bobobob4o$46boo5boo3bobo3boo
5boo$53bo11bo20bo11bo$54b3o5b3o20b3o9b3o$49b3o15b3o17bo9bo$49boobbobbo
5bobbobboo13boboo11boobo$52boo11boo16bo4b3o3b3o4bo$47boob4obo7bob4oboo
10bob3ob3o3b3ob3obo$47bobbo17bobbo$51boo13boo13b3ob4obo3bob4ob3o$53bo
11bo15boo7bo3bo7boo$18b3o9b3o48b3obboboo5boobobb3o$18bobo9bobo20bo11bo
$17bobbo9bobbo14bob4o11b4obo15bobbo5bobbo$17bob4o5b4obo14bobobboo9boo
bbobo15bo11bo$15boo4bobo3bobo4boo13bo3b3o7b3o3bo14boobbobo3bobobboo$
16b3oboobo3boboob3o21bo5bo21bo3b3o3b3o3bo$14bo8bo3bo8bo14boo3bo5bo3boo
14boo4bobbobobbo4boo$14bobobboobo5boboobbobo43bobooboboobbobobbooboboo
bo$13bo3boo4bo3bo4boo3bo13bobb4o3b4obbo11boobo3bo3bo3bo3bo3boboo$14bob
o5bo5bo5bobo14bo4bo5bo4bo10bobo3boo13boo3bobo$15bo4b3o5b3o4bo42boo8bo
7bo8boo$79bo7b3o5b3o7bo$19boobo5boboo26b3o26boobo3boboo$17booboobo3bob
ooboo24bobo27b3o3b3o$17booboobooboobooboo24bobo19boo7boo3boo7boo$14boo
8bobo8boo19bobobobo13bo31bo$12boo3bob6ob6obo3boo16boo5boo11b3o29b3o$
13bobo3boo9boo3bobo17boobbobboo10bobboo27boobbo$11boboo3bo13bo3boobo
14b3o5b3o9bo3boo25boo3bo$11bobo6b3o5b3o6bobo14boobb3obboo9boboboo3b3o
9b3o7boobobo$11boo25boo14boo7boo10b3o4bo3bo7bo3bo8b3o$23bo3bo29bo3bo
14boo3bobo3bo5bo3bobo7boo$20bo3bobo3bo43boo5bo3boo7boo3bo9boo$21bobo3b
obo24bo3bobo3bo9bobo4b3o3bo5bo3b3o8bobo$8b3o29b3o12bo7bo7b3o6bo3boob3o
b3oboo3bo10b3o$8bobbo27bobbo14booboo9bo8boobbo3booboo3bobboo12bo$7bo4b
o25bo4bo25boobo6b3o3b5ob5o3b3o10boboo$6boo35boo13b3o8boo16bo5bo20boo$
7bobobbo25bobbobo13bobobo6bo15bo11bo19bo$56boo3boo5bobo8bo4bo11bo4bo
12bobo$7bobbo29bobbo13booboo6bobo8bo4b4o5b4o4bo12bobo$7bobbo29bobbo25b
3o11bo4bo3bo4bo15b3o$5bobo35bobo36boob3o5b3oboo$4b3o37b3o35boobo3bobo
3boboo$6bo37bo25bo7b3o7booboo7b3o11bo$bbo45bo28bo3boo4bobobobo4boo3bo$
boboo41boobo4boo20bo3bo19bo3bo$bobo43bobo3bo22bo9b3o3b3o9bo$oo47boo3bo
boo22bo6boo3boo6bo$bo47bo6boo17bo12bo3bo12bo$bb3o41b3o10bo15bobboo5bo
9bo5boobbo$3bo43bo11boo15boo8bo7bo8boo$58bo15bo12bo5bo12bo$56boboo13b
3o29b3o$56bobo13boobbo27bobboo$75boo27boo$75bo29bo$$60bo11bo35bo$60bo
12boo31boo$60bo10bobbo31bobbo$70bo39bo$69boo39boo$68b4o37b4o$67bo45bo$
67b3o41b3o$66bo47bo$68boo41boo$70bo39bo$68boo41boo$69bo41bo$68bo43bo$
68bo43bo$66boo$64boobo$64bo$64boo$65bo3bo$68bo$64bobbo$64bo6$63boo$62b
obo$64bo11$80b3o$82bo$81bo!

This next one was a bit painful since I couldn't find a way to suppress the traffic lights, and so I had to delete them bit by bit after they were made.

Code: Select all

#C An orthogonal 3c/7 period 84 forward glider rake.
#C This is created by perturbing a puffer by Dylan Chen.
#C David I. Bell, 31 October 2026
x = 131, y = 243, rule = B3/S23
61bo7bo$60b3o5b3o$60bobo5bobo$58bobo4bo4bobo$58boo4bobo4boo$63bobobo$
62boo3boo$61b3o3b3o$57boobbo7bobboo$57boobo9boboo$57bo15bo$59boboo5boo
bo$58booboo5booboo$63bo3bo$59bo11bo$58bo4bo3bo4bo$62boo3boo$62boo3boo$
58bo3bo5bo3bo$58bo3bo5bo3bo$57boo13boo$56boobbo9bobboo$59b3o7b3o$57boo
bboo5boobboo$54bobboobobbo3bobboboobbo$54bo4boobo5boboo4bo$55b3obbo9bo
bb3o$56boob3o7b3oboo$56boobboo7boobboo$56boo15boo$56boobb3o5b3obboo$
60bo9bo$56boo15boo$60bobbo3bobbo$60booboobooboo$52b3o7bo5bo7b3o$52bobb
o6bo5bo6bobbo$55booboobooboboboobooboo$51bobboboobobbobobobobboboobobb
o$57bobo11bobo$52bobobo17bobobo$53bobb4o11b4obbo$$57bo15bo$55bo19bo$
53boo21boo$53boo21boo$52boboo19boobo$52boobbo17bobboo$51boobobbo7bo7bo
bboboo$51b3oboo7b3o7boob3o$51b3o3bobobbooboboobbobo3b3o$60b3obbobb3o$
57bo15bo$26b3o9b3o16bobboo3bo3boobbo16b3o9b3o$26bobo9bobo15boobobo3bo
3boboboo15bobo9bobo$25bobbo9bobbo14boboo11boobo14bobbo9bobbo$25bob4o5b
4obo14boboboboo3boobobobo14bob4o5b4obo$23boo4bobo3bobo4boo10b3o3bo9bo
3b3o10boo4bobo3bobo4boo$24b3oboobo3boboob3o11bo21bo11b3oboobo3boboob3o
$22bo8bo3bo8bo9bo21bo9bo8bo3bo8bo$22bobobboobo5boboobbobo10bo4bo9bo4bo
10bobobboobo5boboobbobo$21bo3boo4bo3bo4boo3bo8bob4o11b4obo8bo3boo4bo3b
o4boo3bo$22bobo5bo5bo5bobo8boo21boo8bobo5bo5bo5bobo$23bo4b3o5b3o4bo10b
obo17bobo10bo4b3o5b3o4bo$54boboobo11boboobo$27boobo5boboo15b6o9b6o15b
oobo5boboo$25booboobo3bobooboo16bobbo7bobbo16booboobo3bobooboo$25boob
oobooboobooboo17b3o7b3o17booboobooboobooboo$22boo8bobo8boo13bo3bo5bo3b
o13boo8bobo8boo$20boo3bob6ob6obo3boo10bo4bo5bo4bo10boo3bob6ob6obo3boo$
21bobo3boo9boo3bobo11bo4bo5bo4bo11bobo3boo9boo3bobo$19boboo3bo13bo3boo
bo10boo11boo10boboo3bo13bo3boobo$19bobo6b3o5b3o6bobo35bobo6b3o5b3o6bob
o$19boo25boo16bobo16boo25boo$31bo3bo29bo29bo3bo$28bo3bobo3bo24bo3bo24b
o3bobo3bo$29bobo3bobo25bo3bo25bobo3bobo$16b3o29b3o11bo5bo11b3o29b3o$
16bobbo27bobbo11booboboo11bobbo27bobbo$15bo4bo25bo4bo10booboboo10bo4bo
25bo4bo$14boo35boo9bobobobo9boo35boo$15bobobbo25bobbobo9bobooboobo9bob
obbo25bobbobo$61bo7bo$15bobbo29bobbo8boo7boo8bobbo29bobbo$15bobbo29bo
bbo9bobbobobbo9bobbo29bobbo$13bobo35bobo9booboo9bobo35bobo$12b3o37b3o
10bo10b3o37b3o$14bo37bo25bo37bo$10bo45bo17bo45bo$9boboo41boobo15boboo
41boobo$9bobo43bobo15bobo43bobo$8boo47boo13boo47boo$9bo47bo15bo47bo$
10b3o41b3o17b3o41b3o$11bo5b3o9b3o23bo19bo23b3o9b3o5bo$17bobbo7bobbo67b
obbo7bobbo$16boo13boo65boo13boo$14boobo3bo5bo3boboo61boobo3bo5bo3boboo
$17b3oboo3boob3o67b3oboo3boob3o$13bo21bo26bo5bo26bo21bo$14bobob5o3b5ob
obo25boboo3boobo25bobob5o3b5obobo$14bo3bobboo3boobbo3bo23boo4bobo4boo
23bo3bobboo3boobbo3bo$14bo3b3o7b3o3bo25boboo3boobo25bo3b3o7b3o3bo$14bo
4bo9bo4bo27bo5bo27bo4bo9bo4bo$18b3o7b3o30bo7bo30b3o7b3o$17bobboo5boobb
o27b3o7b3o27bobboo5boobbo$20boo5boo29bo4bo3bo4bo29boo5boo$16boo4bo3bo
4boo24bo5bo3bo5bo24boo4bo3bo4boo$15bo3bo3bobo3bo3bo23bo15bo23bo3bo3bob
o3bo3bo$12boob3obobobobobobob3oboo21b6o3b6o21boob3obobobobobobob3oboo$
11bo5boo4bobo4boo5bo19bobobboo3boobbobo19bo5boo4bobo4boo5bo$10bo4boo
15boo4bo18bo15bo18bo4boo15boo4bo$10b3o8bo5bo8b3o17bobbobo7bobobbo17b3o
8bo5bo8b3o$19boo7boo26boboo11boobo26boo7boo$20bobbobobbo28b3o11b3o28bo
bbobobbo$12bo8boo3boo8bo20boo13boo20bo8boo3boo8bo$9bo3bo7bo5bo7bo3bo
16b3o13b3o16bo3bo7bo5bo7bo3bo$12bo23bo19b3o13b3o19bo23bo$7boo31boo12b
ooboo13booboo12boo31boo$6bobboo27boobbo11b3o17b3o11bobboo27boobbo$6boo
bbo27bobboo12boo17boo12boobbo27bobboo$7boobbo25bobboo12b3obboo9boobb3o
12boobbo25bobboo$8bobo27bobo14bobobbo9bobbobo14bobo27bobo$20b3o9b3o21b
3obo9bob3o21b3o9b3o$6b3o11bobo9bobo5b3o14b3o11b3o14b3o5bobo9bobo11b3o$
6bo12bobbo9bobbo6bo45bo6bobbo9bobbo12bo$4boobbo10bob4o5b4obo4bobboo41b
oobbo4bob4o5b4obo10bobboo$3boo12boo4bobo3bobo4boo6boo39boo6boo4bobo3bo
bo4boo12boo$bbobbo12b3oboobo3boboob3o6bobbo37bobbo6b3oboobo3boboob3o
12bobbo$boo13bo8bo3bo8bo7boo35boo7bo8bo3bo8bo13boo$o15bobobboobo5boboo
bbobo9bo33bo9bobobboobo5boboobbobo15bo$3o12bo3boo4bo3bo4boo3bo6b3o33b
3o6bo3boo4bo3bo4boo3bo12b3o$boo13bobo5bo5bo5bobo7boo35boo7bobo5bo5bo5b
obo13boo$17bo4b3o5b3o4bo55bo4b3o5b3o4bo$bbobo39bobo37bobo39bobo$bbobo
16boobo5boboo10bobo37bobo10boobo5boboo16bobo$19booboobo3bobooboo20b3o
13b3o20booboobo3bobooboo$bboo15booboobooboobooboo9boo37boo9boobooboob
oobooboo15boo$16boo8bobo8boo9bo5bo5bo9bo5bo5bo9boo8bobo8boo$14boo3bob
6ob6obo3boo5bobboo3bo5bo9bo5bo3boobbo5boo3bob6ob6obo3boo$15bobo3boo9b
oo3bobo6bo3bo3bo5bo9bo5bo3bo3bo6bobo3boo9boo3bobo$13boboo3bo13bo3boobo
6bobbo27bobbo6boboo3bo13bo3boobo$13bobo6b3o5b3o6bobo6bobbo4b3o13b3o4bo
bbo6bobo6b3o5b3o6bobo$13boo25boo7boo29boo7boo25boo$25bo3bo71bo3bo$22bo
3bobo3bo65bo3bobo3bo$23bobo3bobo67bobo3bobo$10b3o29b3o41b3o29b3o$10bo
bbo27bobbo41bobbo27bobbo$9bo4bo25bo4bo39bo4bo25bo4bo$8boo35boo37boo35b
oo$9bobobbo9bo11bo3bobbobo39bobobbo3bo11bo9bobbobo$23bobo9bobo55bobo9b
obo$9bobbo9booboo7booboo3bobbo39bobbo3booboo7booboo9bobbo$9bobbo9bo15b
o3bobbo39bobbo3bo15bo9bobbo$7bobo12b3obbo5bobb3o6bobo35bobo6b3obbo5bo
bb3o12bobo$6b3o11bo7bo3bo7bo5b3o11boo7boo11b3o5bo7bo3bo7bo11b3o$8bo12b
oobbooboobooboobboo6bo13boo7boo13bo6boobbooboobooboobboo12bo$4bo16bobo
4bo3bo4bobo10bo29bo10bobo4bo3bo4bobo16bo$3boboo11b3ob3obboo3boobb3ob3o
5boobo27boboo5b3ob3obboo3boobb3ob3o11boobo$3bobo12boob4ob3o3b3ob4oboo
6bobo27bobo6boob4ob3o3b3ob4oboo12bobo$bboo15b4o4boo3boo4b4o9boo25boo9b
4o4boo3boo4b4o15boo$3bo16bo5boo5boo5bo10bo27bo10bo5boo5boo5bo16bo$4b3o
17bobbo5bobbo11b3o29b3o11bobbo5bobbo17b3o$5bo17b3obo5bob3o11bo31bo11b
3obo5bob3o17bo$22bo5booboo5bo53bo5booboo5bo$21b3obooboobooboob3o51b3ob
ooboobooboob3o$18booboo15booboo5bobo29bobo5booboo15booboo$17boobooboob
4ob4oboobooboo5booboo23booboo5boobooboob4ob4oboobooboo$27boo3boo16bobo
bo21bobobo16boo3boo$18bo23bo6boo29boo6bo23bo$15booboo6bo7bo6booboo4bob
obbo19bobbobo4booboo6bo7bo6booboo$16boo8boo5boo8boo6bobbo21bobbo6boo8b
oo5boo8boo$52boo23boo$27b3ob3o26bo9bo26b3ob3o$14bo31bo13bo9bo13bo31bo$
13b3o29b3o12bo9bo12b3o29b3o$12booboo27booboo33booboo27booboo$11b3o33b
3o31b3o33b3o$11boo35boo31boo35boo$11b3o33b3o31b3o33b3o$13bo33bo35bo33b
o$$12boo33boo33boo33boo$9boobo35boboo27boobo35boboo$9bobbo35bobbo27bo
bbo35bobbo$11bo12bo11bo12bo31bo37bo$7boo14b3o9b3o14boo23boo43boo$6bob
oo15bo9bo15boobo21boboo41boobo$6boboo11boboo11boobo11boobo21boboo41boo
bo$5boo14bo4b3o3b3o4bo14boo19boo47boo$5boobo11bob3ob3o3b3ob3obo11boboo
19boobo43boboo$7b3o41b3o6boo7boo6b3o41b3o$7b3o9b3ob4obo3bob4ob3o9b3o6b
oo7boo6b3o41b3o$19boo7bo3bo7boo$19b3obboboo5boobobb3o$53boo21boo$24bo
bbo5bobbo16boboo17boobo$24bo11bo18bo19bo$22boobbobo3bobobboo13boobbo
17bobboo$22bo3b3o3b3o3bo13boo23boo$20boo4bobbobobbo4boo13bobbo15bobbo$
18bobooboboobbobobbooboboobo12boo17boo$17boobo3bo3bo3bo3bo3boboo$16bob
o3boo13boo3bobo$16boo8bo7bo8boo$17bo7b3o5b3o7bo$25boobo3boboo$26b3o3b
3o$18boo7boo3boo7boo13b3o13b3o$14bo31bo9bo17bo$13b3o29b3o9bo15bo$12bo
bboo27boobbo$12bo3boo25boo3bo$12boboboo25boobobo$13b3o29b3o$14boo29boo
$12boo33boo$12bobo31bobo$9b3o37b3o$9bo41bo$7boobo39boboo$7boo43boo$6bo
47bo$6bobo43bobo38b3o$6bobo43bobo40bo$7b3o41b3o40bo3$8bo43bo10$114b3o$
116bo$115bo!

Finally, here is a rake which naturally creates a MWSS. This also has the annoying traffic lights which I could not suppress.

Code: Select all

#C An orthogonal 3c/7 period 56 sideways MWSS rake.
#C This is created by perturbing a puffer by Dylan Chen.
#C David I. Bell, 31 October 2026
x = 135, y = 193, rule = B3/S23
66bo7bo$65b3o5b3o$64bobboo3boobbo$63boob9oboo$64boboo5boobo$63b3oboo3b
oob3o$63b3o4bo4b3o$66bo7bo$63bobbo7bobbo$62bobo11bobo$63boobo7boboo$
65boo7boo$66bo7bo$65bobo5bobo$64bo3bo3bo3bo$64bobbo5bobbo$64bobboo3boo
bbo$64booboo3booboo$65bo9bo$64bo11bo$62bobo11bobo$61boobobbo5bobboboo$
60bobo15bobo$59bo6boo5boo6bo$60boobobobbo3bobboboboo$61bobobobo5bobobo
bo$63b3o9b3o$62bobo11bobo$61bo3bo9bo3bo$61bo4bo7bo4bo$67bo5bo$61b3obbo
7bobb3o$66bo7bo$66bobo3bobo$64bobobooboobobo$57b4o3bo4bobo4bo3b4o$56bo
bboo6boo3boo6boobbo$63bo4bo3bo4bo$56booboboboo11booboboboo$58bo23bo$
60b4obo9bob4o$62bobbo9bobbo$64bo11bo$60bobo15bobo$58boo21boo$$58bobo
19bobo$57bobbo19bobbo$57bobbo19bobbo$58b3o8b3o8b3o$58b3o8b3o8b3o$58boo
8bo3bo8boo$58b3ob5obo3bob5ob3o$59b3o6bo3bo6b3o$61boo5b5o5boo$62bo4bobb
obbo4bo$63bobbo7bobbo19bo11bo$31bo11bo15bo4bobo7bobo4bo14bobo9bobo$30b
3o9b3o14bobo17bobo13booboo7booboo$29bobboo7boobbo13bobooboo9booboobo
13bo15bo$28bo3bobo5bobo3bo16bobbo7bobbo17b3obbo5bobb3o$27boobooboo5boo
booboo11bo21bo11bo7bo3bo7bo$27b4o3bo5bo3b4o11b3o3bo9bo3b3o12boobbooboo
booboobboo$27bo3b4obobob4o3bo12bo19bo13bobo4bo3bo4bobo$31bo11bo17bobbo
11bobbo11b3ob3obboo3boobb3ob3o$26bobo3boobbobobboo3bobo11bo3bo11bo3bo
10boob4ob3o3b3ob4oboo$27bo4bobo5bobo4bo12bo3bo11bo3bo11b4o4boo3boo4b4o
$65boo7boo17bo5boo5boo5bo$30boobo7boboo16bo5bo5bo5bo17bobbo5bobbo$30b
5o5b5o17bo3boo5boo3bo17b3obo5bob3o$29boo4bo3bo4boo17b3o9b3o17bo5booboo
5bo$32b4o3b4o51b3obooboobooboob3o$26bob3obobobobobobob3obo19booboo18b
ooboo15booboo$25b3obbo5bobo5bobb3o17bo5bo16boobooboob4ob4oboobooboo$
24boobbo7bobo7bobboo49boo3boo$23boo3bo4bo7bo4bo3boo17b3o19bo23bo$33bob
o3bobo26bo3bo15booboo6bo7bo6booboo$33bobbobobbo25bo5bo15boo8boo5boo8b
oo$26bo7boo3boo7bo20bobo$22boboo23boobo15bobobo27b3ob3o$22b4o7bo7bo7b
4o16bobo15bo31bo$20boobo27boboo12booboboo12b3o29b3o$19bobbo29bobbo10bo
bobobobo10booboo27booboo$19boobbo27bobboo9bobo5bobo8b3o33b3o$21b3o27b
3o15b3o12boo35boo$22boo27boo12boobb3obboo8b3o33b3o$86bo33bo$20bo33bo$
19b3o31b3o29boo33boo$20boo31boo27boobo35boboo$16b3o37b3o10bobo10bobbo
35bobbo$15bo43bo24bo37bo$15bobbo37bobbo20boo21bo11bo9boo$14bo45bo18bob
oo18booboo7booboo6boobo$13b3o43b3o17boboo18booboo7booboo6boobo$78boo
20bo3boo7boo3bo8boo$16bo41bo19boobo18b3o13b3o6boboo$17bo39bo22b3o20b3o
booboob3o8b3o$15b3o39b3o5boo3boo8b3o16b3o5booboo5b3o4b3o$16bo41bo10boo
bo25bo5boo7boo5bo$15boo41boo5b6obo24bo6boobbobobboo6bo$69bob3o29b3obbo
bobb3o$97bo6bo9bo6bo$98boo5bo7bo5boo$65bo7bo28boobboo3boobboo$59bo5boo
6bobo26b5o5b5o$57bo3bo10bo27bo7bobo7bo$56bo14bobbo24bobbo3b3ob3o3bobbo
$56bo4bo8bo3bo21b3o21b3o$56b5o9boboo22booboobobbobbobobbobbobooboo$71b
o24b3o6bobbobobbo6b3o$96b3o7bo5bo7b3o$94booboo6boo5boo6booboo$94b4o7b
oo5boo7b4o$105bo7bo$107bo3bo$92b3o12bo3bo12b3o$91bo3bo27bo3bo$90bo3boo
27boo3bo$93bo31bo$89bo39bo$90bobo7bo11bo13bobo$92bo6b3o9b3o12bo$91boo
5bobboo7boobbo11boo$75b3o12b3o4bo3bobo5bobo3bo10b3o$88boobo4boobooboo
5boobooboo10boboo$73bo5bo8bobbo4b4o3bo5bo3b4o10bobbo$73bo5bo7bo8bo3b4o
bobob4o3bo14bo$73bo5bo6b3o11bo11bo17b3o$31bo53bo9bobo3boobbobobboo3bob
o15bo$29bo3bo41b3o7boboo7bo4bobo5bobo4bo13boobo$28bo58boo41boo$28bo4bo
50bobboo10boobo7boboo16boobbo$28b5o66b5o5b5o$86bobo9boo4bo3bo4boo15bob
o$87bo13b4o3b4o19bo$95bob3obobobobobobob3obo$84b3o7b3obbo5bobo5bobb3o$
83boobo6boobbo7bobo7bobboo$84boboo4boo3bo4bo7bo4bo3boo$85b3o14bobo3bob
o$85bobo14bobbobobbo$83b4o8bo7boo3boo7bo$83boo6boboo23boobo$91b4o7bo7b
o7b4o$89boobo27boboo$88bobbo29bobbo$88boobbo27bobboo$75b3o12b3o27b3o$
51b3o9b3o25boo27boo$50bo3bo7bo3bo6bo$49bobo3bo5bo3bobo5bo15bo33bo$49bo
3boo7boo3bo5bo14b3o31b3o$3bo45b3o3bo5bo3b3o21boo31boo$bo3bo42bo3boob3o
b3oboo3bo6b3o7b3o37b3o$o47boobbo3booboo3bobboo15bo43bo$o4bo41b3o3b5ob
5o3b3o14bobbo37bobbo$5o50bo5bo21bo45bo$52bo11bo17b3o43b3o$47bo4bo11bo
4bo$47bo4b4o5b4o4bo15bo41bo$51bo4bo3bo4bo20bo39bo$50boob3o5b3oboo17b3o
39b3o$50boobo3bobo3boboo18bo41bo$46b3o7booboo7b3o13boo41boo$45bo3boo4b
obobobo4boo3bo12bo$44bo3bo19bo3bo8b4o$44bo9b3o3b3o9bo7boobo$48bo6boo3b
oo6bo10bobbo$43bo12bo3bo12bo6boo$43bobboo5bo9bo5boobbo6boo$44boo8bo7bo
8boo11bo$42bo12bo5bo12bo$41b3o29b3o$40boobbo27bobboo$43boo27boo$43bo
29bo$$40bo35bo$41boo31boo$39bobbo31bobbo$38bo39bo$37boo39boo$36b4o37b
4o$35bo45bo$35b3o41b3o$34bo47bo$36boo41boo$38bo39bo$36boo41boo$37bo41b
o$36bo43bo$36bo43bo!

Note that period 56 isn't a multiple of three so a MWSS could not be created using the pre-block reaction of the period 21 double
block puffer.

There are many other perturbations of the puffer which have higher periods. But they are dirty so making clean rakes from them would be difficult.

BCNU,
-dbell

[Sokwe]

Here are orthogonal 3c/7 rakes for periods 42, 56, 63, 70, and 84 which are smaller than the previous rakes of those periods.

Great work on all the new 3c/7 technology! I just added a table to the status page to keep track of which periods have been achieved. Here are the periods that are multiples of known rake periods for which I can't find an existing method for constructing a rake:

Code: Select all

105 = 21 * 5 = 35 * 3
112 = 28 * 4
140 = 28 * 5 = 35 * 4
147 = 21 * 7
175 = 35 * 5
189 = 21 * 9
196 = 28 * 7
224 = 28 * 8
245 = 35 * 7
273 = 21 * 13
280 = 28 * 10 = 35 * 8

Here are explicit constructions of the p168 and p210 rakes created by tripling the p56 and p70 rakes using David Bell's recently discovered components above:

Code: Select all

#C An orthogonal 3c/7 period-168 (8 * 3 * 7) forward glider rake.
x = 187, y = 277, rule = B3/S23
53bo7bo$52bobo5bobo$51b2ob2o3b2ob2o$52bobo5bobo$50bob2o3bo3b2obo$50b7o
b7o$54b7o$53bob2ob2obo$50b2obo7bob2o$49b3ob2o5b2ob3o$48bo17bo$51bob2o
5b2obo2$55bo3bo$50bob3o5b3obo$51bob3o3b3obo$55bo3bo$54b2o3b2o$53b2o5b
2o$52b3o5b3o$49b4o9b4o$48bo17bo$47b2o3b2o7b2o3b2o$48bobobobo5bobobobo$
48b3o2b3o3b3o2b3o$53bo7bo$48bo17bo2$48bobobo9bobobo$50b3o9b3o$47bob3o
2bo5bo2b3obo$48b2ob3o7b3ob2o$52b2o7b2o$52bob2o3b2obo$52bo3bobo3bo$44b
3o5bo3bobo3bo5b3o$44bob2o6bo5bo6b2obo$44bo2bo3b2ob2o3b2ob2o3bo2bo$47bo
2b2o3bo3bo3b2o2bo$51bo2bo5bo2bo$46bobobobo9bobobobo$44b2obo19bob2o$50b
o13bo$47b2o17b2o2$46bo21bo$45b2o21b2o$44b3o21b3o2$47b2o8bo8b2o$50bo5b
3o5bo$45bo4bo3b2obob2o3bo4bo$43b4obobobo9bobobob4o$44b2o5b2o3bobo3b2o
5b2o$51bo11bo$52b3o5b3o$47b3o15b3o17bo11bo$17b3o9b3o15b2o2bo2bo5bo2bo
2b2o16b3o9b3o$17bo2bo7bo2bo18b2o11b2o21bo9bo$16b2o13b2o12b2ob4obo7bob
4ob2o12bob2o11b2obo$14b2obo3bo5bo3bob2o10bo2bo17bo2bo12bo4b3o3b3o4bo$
17b3ob2o3b2ob3o17b2o13b2o15bob3ob3o3b3ob3obo$13bo21bo15bo11bo$14bobob
5o3b5obobo45b3ob4obo3bob4ob3o$14bo3bo2b2o3b2o2bo3bo16bo11bo16b2o7bo3bo
7b2o$14bo3b3o7b3o3bo11bob4o11b4obo11b3o2bob2o5b2obo2b3o$14bo4bo9bo4bo
11bobo2b2o9b2o2bobo$18b3o7b3o16bo3b3o7b3o3bo17bo2bo5bo2bo$17bo2b2o5b2o
2bo22bo5bo24bo11bo$20b2o5b2o20b2o3bo5bo3b2o17b2o2bobo3bobo2b2o$16b2o4b
o3bo4b2o50bo3b3o3b3o3bo$15bo3bo3bobo3bo3bo15bo2b4o3b4o2bo15b2o4bo2bobo
2bo4b2o$12b2ob3obobobobobobob3ob2o12bo4bo5bo4bo13bob2obob2o2bobo2b2obo
b2obo$11bo5b2o4bobo4b2o5bo40b2obo3bo3bo3bo3bo3bob2o$10bo4b2o15b2o4bo
38bobo3b2o13b2o3bobo$10b3o8bo5bo8b3o17b3o18b2o8bo7bo8b2o$19b2o7b2o26bo
bo19bo7b3o5b3o7bo$20bo2bobo2bo27bobo27b2obo3bob2o$12bo8b2o3b2o8bo17bob
obobo26b3o3b3o$9bo3bo7bo5bo7bo3bo13b2o5b2o17b2o7b2o3b2o7b2o$12bo23bo
16b2o2bo2b2o13bo31bo$7b2o31b2o10b3o5b3o11b3o29b3o$6bo2b2o27b2o2bo9b2o
2b3o2b2o10bo2b2o27b2o2bo$6b2o2bo27bo2b2o9b2o7b2o10bo3b2o25b2o3bo$7b2o
2bo25bo2b2o13bo3bo13bobob2o25b2obobo$8bobo27bobo33b3o29b3o$52bo3bobo3b
o12b2o29b2o$6b3o31b3o10bo7bo11b2o33b2o$6bo35bo12b2ob2o13bobo31bobo$4b
2o2bo31bo2b2o12bo12b3o13bo11bo11b3o$3b2o39b2o24bo13b2ob2o7b2ob2o11bo$
2bo2bo37bo2bo21b2obo12b2ob2o7b2ob2o10bob2o$b2o43b2o5bobo3bobo6b2o13bo
3b2o7b2o3bo11b2o$o47bo7bobo8bo15b3o13b3o13bo$3o43b3o3bo2bo3bo2bo4bobo
16b3ob2ob2ob3o14bobo$b2o43b2o4bo2bo3bo2bo4bobo12b3o5b2ob2o5b3o10bobo$
52bo9bo5b3o10bo5b2o7b2o5bo8b3o$2bobo39bobo6b2o5b2o18bo6b2o2bobo2b2o6bo
$2bobo39bobo39b3o2bobo2b3o$69bo10bo6bo9bo6bo8bo$2b2o41b2o34b2o5bo7bo5b
2o$85b2o2b2o3b2o2b2o$85b5o5b5o$83bo7bobo7bo$82bo2bo3b3ob3o3bo2bo$79b3o
21b3o$79b2ob2obo2bo2bobo2bo2bob2ob2o$79b3o6bo2bobo2bo6b3o$79b3o7bo5bo
7b3o$77b2ob2o6b2o5b2o6b2ob2o$77b4o7b2o5b2o7b4o$88bo7bo$90bo3bo$75b3o
12bo3bo12b3o$74bo3bo27bo3bo16bo11bo$73bo3b2o27b2o3bo13b2ob2o7b2ob2o$
76bo31bo16b2ob2o7b2ob2o$72bo39bo11bo3b2o7b2o3bo$73bobo33bobo12b3o13b3o
$61b3o5bo5bo33bo17b3ob2ob2ob3o$69bo4b2o33b2o12b3o5b2ob2o5b3o$73b3o33b
3o10bo5b2o7b2o5bo$71b2obo35bob2o7bo6b2o2bobo2b2o6bo$71bo2bo35bo2bo13b
3o2bobo2b3o$70bo43bo6bo6bo9bo6bo$69b3o41b3o6b2o5bo7bo5b2o$68bo47bo9b2o
2b2o3b2o2b2o$68bob2o41b2obo9b5o5b5o$70b2o41b2o9bo7bobo7bo$67bo2b2o41b
2o2bo5bo2bo3b3ob3o3bo2bo$120b3o21b3o$69bobo41bobo4b2ob2obo2bo2bobo2bo
2bob2ob2o$70bo43bo5b3o6bo2bobo2bo6b3o$120b3o7bo5bo7b3o$67b3o48b2ob2o6b
2o5b2o6b2ob2o$66b2obo48b3o8b2o5b2o8b3o$67bob2o49bo2bo5bo7bo5bo2bo$68b
3o47bob5o6bo3bo6b5obo$68bobo47bobobob2o5bo3bo5b2obobobo$66b4o52bo3bo
13bo3bo$66b2o55b4o13b4o$123bo3bo11bo3bo$123bobob2o9b2obobo$63bo$62b2o
58b2o3b2o9b2o3b2o$61bo59bo6bo9bo6bo$60b2o4bo54bobo4bo4bo4bo4bobo$59b3o
2bo2b2o59bo3b3o3bo$60bo2bobobo55b4obo2b2ob2o2bob4o$61b2o2b2o53b3o4bo3b
2ob2o3bo4b3o$121b2o8b2ob2o8b2o$63bobo62b2o3bo3b2o$64bo62bo11bo$126bo3b
2o3b2o3bo$75b2o48bo2b2o2b3o2b2o2bo$76b2o47bobo11bobo13bo11bo$75bo77b2o
b2o7b2ob2o$125b2o13b2o11b2ob2o7b2ob2o$126b2o11b2o11bo3b2o7b2o3bo$123bo
2bo13bo2bo8b3o13b3o$122bobo2b2o9b2o2bobo10b3ob2ob2ob3o$124bo17bo8b3o5b
2ob2o5b3o$123b2o17b2o6bo5b2o7b2o5bo$128bo9bo10bo6b2o2bobo2b2o6bo$89b2o
34bobo11bobo13b3o2bobo2b3o$90b2o34bo13bo8bo6bo9bo6bo$89bo60b2o5bo7bo5b
2o$127b2o25b2o2b2o3b2o2b2o$127bobo24b5o5b5o$127bo24bo7bobo7bo$126b3o
22bo2bo3b3ob3o3bo2bo$126bobo19b3o21b3o$125bo2bo19b2ob2obo2bo2bobo2bo2b
ob2ob2o$126bobo19b3o6bo2bobo2bo6b3o$103b2o43b3o7bo5bo7b3o$104b2o40b2ob
2o6b2o5b2o6b2ob2o$103bo23bo18b4o7b2o5b2o7b4o$86b3o9b3o26bo29bo7bo$86bo
bo9bobo26bo31bo3bo$85bo2bo9bo2bo42b3o12bo3bo12b3o$85bob4o5b4obo22bo5bo
12bo3bo27bo3bo$83b2o4bobo3bobo4b2o19bobo3bobo10bo3b2o27b2o3bo$84b3ob2o
bo3bob2ob3o20b2o5b2o13bo31bo$82bo8bo3bo8bo36bo39bo$82bobo2b2obo5bob2o
2bobo12b2o23bobo33bobo$81bo3b2o4bo3bo4b2o3bo12b2o24bo33bo$82bobo5bo5bo
5bobo12bo25b2o5bo11bo15b2o$83bo4b3o5b3o4bo38b3o4bobo9bobo14b3o$140b2ob
o4b2ob2o7b2ob2o14bob2o$87b2obo5bob2o40bo2bo4bo15bo14bo2bo$85b2ob2obo3b
ob2ob2o21b2o5b2o7bo8b3o2bo5bo2b3o18bo$85b2ob2ob2ob2ob2ob2o21b2o5b2o6b
3o5bo7bo3bo7bo15b3o$82b2o8bobo8b2o32bo9b2o2b2ob2ob2ob2o2b2o19bo$80b2o
3bob6ob6obo3b2o30bob2o6bobo4bo3bo4bobo16b2obo$81bobo3b2o9b2o3bobo33b2o
3b3ob3o2b2o3b2o2b3ob3o13b2o$79bob2o3bo13bo3b2obo28bo2b2o3b2ob4ob3o3b3o
b4ob2o13b2o2bo$79bobo6b3o5b3o6bobo37b4o4b2o3b2o4b4o$79b2o25b2o30bobo5b
o5b2o5b2o5bo15bobo$91bo3bo43bo10bo2bo5bo2bo20bo$88bo3bobo3bo24b2o5b2o
17b3obo5bob3o$89bobo3bobo25b2o5b2o4b3o9bo5b2ob2o5bo$76b3o29b3o24b2obo
8b3ob2ob2ob2ob2ob3o$76bo2bo27bo2bo25bob2o4b2ob2o15b2ob2o$75bo4bo25bo4b
o25b3o3b2ob2ob2ob4ob4ob2ob2ob2o$74b2o35b2o24bobo13b2o3b2o$75bobo2bo25b
o2bobo23b4o5bo23bo$135b2o4b2ob2o6bo7bo6b2ob2o$75bo2bo29bo2bo30b2o8b2o
5b2o8b2o$75bo2bo29bo2bo$73bobo35bobo39b3ob3o$72b3o37b3o25bo31bo$74bo
37bo26b3o29b3o$70bo45bo21b2ob2o27b2ob2o$69bob2o41b2obo19b3o33b3o$69bob
o43bobo19b2o35b2o$68b2o47b2o18b3o33b3o$69bo47bo21bo33bo$70b3o41b3o6b2o
$71bo43bo7b2o13b2o33b2o$135b2obo35bob2o$135bo2bo35bo2bo$114bobo20bo37b
o$115b2ob2o13b2o43b2o$116bobobo11bob2o41b2obo$115b2o15bob2o41b2obo$
116bobo2bo9b2o47b2o$117bo2bo10b2obo43bob2o$118b2o13b3o41b3o$133b3o41b
3o3$132b2o$130b2obo$131bo$130bo2b2o$133b2o$129bo2bo$130b2o7$128b3o$
130bo$129bo28$170b3o$172bo$171bo!

Code: Select all

#C An orthogonal 3c/7 period-210 (2 * 3 * 5 * 7) forward glider rake.
x = 184, y = 276, rule = B3/S23
53b3o5b3o$53bobo5bobo$53bobo5bobo$51bob2o3bo3b2obo$51b2o4bobo4b2o$55b
2obob2o$54bo7bo$54bobo3bobo$50b5o7b5o$49bo2bo11bo2bo$50bob3o7b3obo$52b
ob2o5b2obo$51b2obobo3bobob2o$51b3obo5bob3o2$55b2o3b2o$57bobo$54bo7bo$
54b2o5b2o$51b2o11b2o$49bob2o11b2obo$49b2o2b2o7b2o2b2o$49bo2bo2bo5bo2bo
2bo$50bo4bo5bo4bo$50bo2bo2bo3bo2bo2bo$47bo5bo9bo5bo$48bobo15bobo$52bo
11bo$48bo3bobo7bobo3bo$48bo2bo3bo5bo3bo2bo$49b2o2b2o7b2o2b2o$53bo9bo2$
53b5ob5o$46bo6b2ob2ob2ob2o6bo$45b3o7bo5bo7b3o$45bo2b2o5bo5bo5b2o2bo$
47bo3b5o5b5o3bo$52bob2o5b2obo$46bo3bo15bo3bo$46bob2o2bo11bo2b2obo$46bo
b4o13b4obo$49bo17bo2$47bo21bo$46bobo19bobo$45bo25bo$45bo2bo19bo2bo$49b
o17bo$47bo2bo6b3o6bo2bo$43bo4b4o4bo3bo4b4o4bo$44bob2obo3bob2o3b2obo3bo
b2obo$45bo5bob5ob5obo5bo$55bo5bo$50bo2b2o7b2o2bo17b3o9b3o$49bo2bobo7bo
bo2bo16bo2bo7bo2bo$48b2o4b2o5b2o4b2o14b2o13b2o$49bobob2o7b2obobo13b2ob
o3bo5bo3bob2o$47bob2obobo7bobob2obo14b3ob2o3b2ob3o$46b2o21b2o9bo21bo$
47b2o19b2o11bobob5o3b5obobo$47b6o11b6o11bo3bo2b2o3b2o2bo3bo$18bo11bo
15b2ob4o11b4ob2o10bo3b3o7b3o3bo$17b3o9b3o14b2obobo13bobob2o10bo4bo9bo
4bo$19bo9bo17bob2o15b2obo15b3o7b3o$15bob2o11b2obo13bo4b2o9b2o4bo14bo2b
2o5b2o2bo$15bo4b3o3b3o4bo14bo4bo9bo4bo18b2o5b2o$14bob3ob3o3b3ob3obo14b
o4bo7bo4bo15b2o4bo3bo4b2o$51b5o5b5o16bo3bo3bobo3bo3bo$13b3ob4obo3bob4o
b3o15b3obo5bob3o13b2ob3obobobobobobob3ob2o$13b2o7bo3bo7b2o14b2o2b3o3b
3o2b2o11bo5b2o4bobo4b2o5bo$13b3o2bob2o5b2obo2b3o14bo15bo10bo4b2o15b2o
4bo$51bo13bo11b3o8bo5bo8b3o$18bo2bo5bo2bo55b2o7b2o$18bo11bo27bo28bo2bo
bo2bo$16b2o2bobo3bobo2b2o24b3o19bo8b2o3b2o8bo$16bo3b3o3b3o3bo24bobo16b
o3bo7bo5bo7bo3bo$14b2o4bo2bobo2bo4b2o20b2o3b2o17bo23bo$12bob2obob2o2bo
bo2b2obob2obo18bobobobo12b2o31b2o$11b2obo3bo3bo3bo3bo3bob2o16bo7bo10bo
2b2o27b2o2bo$10bobo3b2o13b2o3bobo15bo3bo3bo10b2o2bo27bo2b2o$10b2o8bo7b
o8b2o15bo7bo11b2o2bo4bo11bo8bo2b2o$11bo7b3o5b3o7bo16bob2ob2obo12bobo3b
2ob2o7b2ob2o7bobo$19b2obo3bob2o24bo7bo18b2ob2o7b2ob2o$20b3o3b3o24b3o5b
3o9b3o4bo3b2o7b2o3bo8b3o$12b2o7b2o3b2o7b2o16b5ob5o9bo6b3o13b3o10bo$8bo
31bo15b2ob2o10b2o2bo7b3ob2ob2ob3o11bo2b2o$7b3o29b3o15b3o10b2o7b3o5b2ob
2o5b3o11b2o$6bo2b2o27b2o2bo26bo2bo5bo5b2o7b2o5bo9bo2bo$6bo3b2o25b2o3bo
14b3o8b2o7bo6b2o2bobo2b2o6bo11b2o$6bobob2o25b2obobo13bo3bo6bo15b3o2bob
o2b3o19bo$7b3o29b3o14b2ob2o6b3o7bo6bo9bo6bo11b3o$8b2o29b2o16b3o8b2o8b
2o5bo7bo5b2o12b2o$6b2o33b2o39b2o2b2o3b2o2b2o$6bobo31bobo26bobo10b5o5b
5o14bobo$3b3o37b3o23bobo8bo7bobo7bo12bobo$3bo41bo33bo2bo3b3ob3o3bo2bo$
b2obo39bob2o21b2o5b3o21b3o9b2o$b2o43b2o28b2ob2obo2bo2bobo2bo2bob2ob2o$
o47bo27b3o6bo2bobo2bo6b3o$obo43bobo27b3o7bo5bo7b3o$obo43bobo25b2ob2o6b
2o5b2o6b2ob2o$b3o41b3o26b4o7b2o5b2o7b4o$85bo7bo$87bo3bo$2bo43bo25b3o
12bo3bo12b3o$71bo3bo27bo3bo16bo11bo$70bo3b2o27b2o3bo13b2ob2o7b2ob2o$
73bo31bo16b2ob2o7b2ob2o$69bo39bo11bo3b2o7b2o3bo$70bobo33bobo12b3o13b3o
$72bo33bo17b3ob2ob2ob3o$71b2o33b2o12b3o5b2ob2o5b3o$70b3o33b3o10bo5b2o
7b2o5bo$68b2obo35bob2o7bo6b2o2bobo2b2o6bo$68bo2bo35bo2bo13b3o2bobo2b3o
$67bo43bo6bo6bo9bo6bo$66b3o41b3o6b2o5bo7bo5b2o$65bo47bo9b2o2b2o3b2o2b
2o$65bob2o41b2obo9b5o5b5o$67b2o41b2o9bo7bobo7bo$64bo2b2o41b2o2bo5bo2bo
3b3ob3o3bo2bo$117b3o21b3o$58b3o5bobo41bobo4b2ob2obo2bo2bobo2bo2bob2ob
2o$67bo43bo5b3o6bo2bobo2bo6b3o$117b3o7bo5bo7b3o$64b3o48b2ob2o6b2o5b2o
6b2ob2o$63b2obo48b3o8b2o5b2o8b3o$64bob2o49bo2bo5bo7bo5bo2bo$65b3o47bob
5o6bo3bo6b5obo$65bobo47bobobob2o5bo3bo5b2obobobo$63b4o52bo3bo13bo3bo$
63b2o55b4o13b4o$120bo3bo11bo3bo$120bobob2o9b2obobo2$119b2o3b2o9b2o3b2o
$118bo6bo9bo6bo$118bobo4bo4bo4bo4bobo$125bo3b3o3bo$120b4obo2b2ob2o2bob
4o$117b3o4bo3b2ob2o3bo4b3o$118b2o8b2ob2o8b2o$69bo55b2o3bo3b2o$69b2o53b
o11bo$68bobo52bo3b2o3b2o3bo$122bo2b2o2b3o2b2o2bo$122bobo11bobo13bo11bo
$150b2ob2o7b2ob2o$122b2o13b2o11b2ob2o7b2ob2o$123b2o11b2o11bo3b2o7b2o3b
o$120bo2bo13bo2bo8b3o13b3o$119bobo2b2o9b2o2bobo10b3ob2ob2ob3o$121bo17b
o8b3o5b2ob2o5b3o$120b2o17b2o6bo5b2o7b2o5bo$125bo9bo10bo6b2o2bobo2b2o6b
o$86b2o34bobo11bobo13b3o2bobo2b3o$87b2o34bo13bo8bo6bo9bo6bo$86bo60b2o
5bo7bo5b2o$124b2o25b2o2b2o3b2o2b2o$124bobo24b5o5b5o$124bo24bo7bobo7bo$
123b3o22bo2bo3b3ob3o3bo2bo$123bobo19b3o21b3o$122bo2bo19b2ob2obo2bo2bob
o2bo2bob2ob2o$123bobo19b3o6bo2bobo2bo6b3o$145b3o7bo5bo7b3o$143b2ob2o6b
2o5b2o6b2ob2o$104bo19bo18b4o7b2o5b2o7b4o$83b3o9b3o6b2o18bo29bo7bo$83bo
bo9bobo5bobo18bo31bo3bo$82bo2bo9bo2bo42b3o12bo3bo12b3o$82bob4o5b4obo
22bo5bo12bo3bo27bo3bo$80b2o4bobo3bobo4b2o19bobo3bobo10bo3b2o27b2o3bo$
81b3ob2obo3bob2ob3o20b2o5b2o13bo31bo$79bo8bo3bo8bo36bo39bo$79bobo2b2ob
o5bob2o2bobo37bobo33bobo$78bo3b2o4bo3bo4b2o3bo38bo33bo$79bobo5bo5bo5bo
bo21b2o15b2o5bo11bo15b2o$80bo4b3o5b3o4bo22b2o14b3o4bobo9bobo14b3o$119b
obo15b2obo4b2ob2o7b2ob2o14bob2o$84b2obo5bob2o23bo16bo2bo4bo15bo14bo2bo
$82b2ob2obo3bob2ob2o28b2o7bo8b3o2bo5bo2b3o18bo$82b2ob2ob2ob2ob2ob2o28b
2o6b3o5bo7bo3bo7bo15b3o$79b2o8bobo8b2o32bo9b2o2b2ob2ob2ob2o2b2o19bo$
77b2o3bob6ob6obo3b2o30bob2o6bobo4bo3bo4bobo16b2obo$78bobo3b2o9b2o3bobo
33b2o3b3ob3o2b2o3b2o2b3ob3o13b2o$76bob2o3bo13bo3b2obo28bo2b2o3b2ob4ob
3o3b3ob4ob2o13b2o2bo$76bobo6b3o5b3o6bobo37b4o4b2o3b2o4b4o$76b2o25b2o
30bobo5bo5b2o5b2o5bo15bobo$88bo3bo43bo10bo2bo5bo2bo20bo$85bo3bobo3bo
24b2o5b2o17b3obo5bob3o$86bobo3bobo25b2o5b2o4b3o9bo5b2ob2o5bo$73b3o29b
3o24b2obo8b3ob2ob2ob2ob2ob3o$73bo2bo27bo2bo25bob2o4b2ob2o15b2ob2o$72bo
4bo25bo4bo25b3o3b2ob2ob2ob4ob4ob2ob2ob2o$71b2o35b2o24bobo13b2o3b2o$72b
obo2bo25bo2bobo23b4o5bo23bo$132b2o4b2ob2o6bo7bo6b2ob2o$72bo2bo29bo2bo
30b2o8b2o5b2o8b2o$72bo2bo29bo2bo11b2o$70bobo35bobo9b2o28b3ob3o$69b3o
37b3o25bo31bo$71bo37bo26b3o29b3o$67bo45bo21b2ob2o27b2ob2o$66bob2o41b2o
bo19b3o33b3o$66bobo43bobo19b2o35b2o$65b2o47b2o18b3o33b3o$66bo47bo21bo
33bo$67b3o41b3o6b2o$68bo43bo7b2o13b2o33b2o$132b2obo35bob2o$132bo2bo35b
o2bo$111bobo20bo37bo$112b2ob2o13b2o43b2o$113bobobo11bob2o41b2obo$112b
2o15bob2o41b2obo$113bobo2bo9b2o47b2o$114bo2bo10b2obo43bob2o$115b2o13b
3o41b3o$130b3o41b3o3$129b2o$127b2obo$128bo$127bo2b2o$130b2o$126bo2bo$
127b2o7$125b3o$127bo$126bo35$178b2o$177bobo$179bo!

[ENDW]

I don't know how to describe this spaceship.

[amling]

A very small 3c/6 destretcher for one orientation of double coiled snakes came out of some 3c/6 back searches I've been running, pictured here with known front:

Code: Select all

#C [[ TRACK 0 -1/2 ]]
x = 107, y = 162, rule = B3/S23
7b3o87b3o$6bo2b5o79b5o2bo$5bo3bobob2ob2o71b2ob2obobo3bo$5bo6bo3bob2o
67b2obo3bo6bo$7bo6bo4b5o59b5o4bo6bo$4bobo6bo3bobobob2ob2o51b2ob2obobob
o3bo6bobo$3b2obob2o8bo3bo3bob2o47b2obo3bo3bo8b2obob2o$2bobobob2o14bo4b
5o39b5o4bo14b2obobobo$b2o3bo2bo13bo3bobobob2o37b2obobobo3bo13bo2bo3b2o
$o3bobo2b2o17bo3bo41bo3bo17b2o2bobo3bo$3bo30bob2o31b2obo30bo$2o15b3o
13b2obob2o27b2obob2o13b3o15b2o$16bo3bo12b2obo3bo25bo3bob2o12bo3bo$15b
2o4bo16bob2o23b2obo16bo4b2o$14bobob2ob2o3b3o8bo2bobo21bobo2bo8b3o3b2ob
2obobo$13b2obo4bob2ob3ob3o3bobobob2o19b2obobobo3b3ob3ob2obo4bob2o$12bo
4bo3bo4bobo3bo2bo2bobo3bo17bo3bobo2bo2bo3bobo4bo3bo4bo$24bo5bo2b3o35b
3o2bo5bo$12b2o7b2o8bobobob2ob2ob2o17b2ob2ob2obobobo8b2o7b2o$33bobo35bo
bo$39bo3bob2o13b2obo3bo$39bo2bo2b2o2bo7bo2b2o2bo2bo$44bobob3o5b3obobo$
48bob2o3b2obo$47bo3b2ob2o3bo$51bo3bo$45b2o4b5o4b2o$44bobo2bobo3bobo2bo
bo$43b2obob2o7b2obob2o$42bobobo3bo5bo3bobobo$41b2obobobo9bobobob2o$40b
o3bobo2bo7bo2bobo3bo$49bo2b3o2bo$40b2ob2ob2ob2ob3ob2ob2ob2ob2o$49b4ob
4o$41bo3bo15bo3bo$47b3o2bobo2b3o$42b3o6b2ob2o6b3o$48b3obobob3o$52bobo$
43b2o3b2obo3bob2o3b2o$43bo2b2o11b2o2bo$46bob2o7b2obo$42b2o19b2o$45b2ob
ob2o3b2obob2o$48bob2o3b2obo$46bob2obo3bob2obo$49bob2ob2obo$47bo11bo$
50b3ob3o$45b2o13b2o$45b2o5b3o5b2o$45bo7bo7bo$44b2o2bo3bobo3bo2b2o$46b
2ob2o5b2ob2o$44b2obo3b5o3bob2o$47bobo2bobo2bobo$47bo11bo$15b3o15b3o10b
ob3o2bo2b3obo$14bo3bo13bo3bo9bobob2o3b2obobo$13b2o4bo11bo4b2o10bobob3o
bobo$12bobob2ob2o3b3o3b2ob2obobo$11b2obo4bob2ob3ob2obo4bob2o11bo3bo$
10bo4bo3bo4bobo4bo3bo4bo4bo4bo$22bo5bo15b3ob2ob2ob2o$10b2o7b2o9b2o7b2o
2b2o3bobobo3bob3o$42b2o2bo3bo3bobobo2bo$40bo2bo6bo5bobo3bo$41bo5bo5bo
2bo5bo$49bobo8bo$48b2ob2o8bobo$49bobo6b2obob2o$58b2obobobo$49b3o6bo2bo
3b2o$57b2o2bobo3bo$49b3o12bo$48bo3bo13b2o$49bobo$48b2ob2o$48bo3bo$49bo
bo$48b2ob2o$48bo3bo$49bobo$48b2ob2o$48bo3bo$49bobo$48b2ob2o$48bo3bo$
49bobo$48b2ob2o$48bo3bo$49bobo$48b2ob2o$48bo3bo$49bobo$48b2ob2o$48bo3b
o$49bobo$48b2ob2o$48bo3bo$49bobo$48b2ob2o$48bo3bo$49bobo$48b2ob2o$48bo
3bo$49bobo$48b2ob2o$48bo3bo$49bobo$48b2ob2o$48bo3bo$49bobo$48b2ob2o$
48bo3bo$49bobo$48b2ob2o$48bo3bo$49bobo$48b2ob2o$48bo3bo$49bobo$48b2ob
2o$48bo3bo$49bobo$48b2ob2o$48bo3bo$49bobo$48b2ob2o$48bo3bo$49bobo$48b
2ob2o$48bo3bo$49bobo$48b2ob2o$48bo3bo$49bobo$48b2ob2o$48bo3bo$49bobo$
48b2ob2o$48bo3bo$49bobo$48b2ob2o$48bo3bo$49bobo$48b2ob2o$48bo3bo$49bob
o$48b2ob2o$48bo3bo$49bobo$48b2ob2o$48bo3bo$49bobo$48b2ob2o$47bobobobo$
46b2o5b2o3$46b2o5b2o!

[dbell]

Here are several new orthogonal 3c/7 period rakes to turn their slots from red to green in the new 3c/7 spaceship status section.

Code: Select all

#C An orthogonal 3c/7 period 91 forward glider rake.
#C This is created by perturbing a puffer by Dylan Chen.
#C David I. Bell, 1 November 2026
x = 115, y = 246, rule = B3/S23
53bo7bo$52b3o5b3o$51bobboo3boobbo$50boob9oboo$51boboo5boobo$50b3oboo3b
oob3o$50b3o4bo4b3o$53bo7bo$50bobbo7bobbo$49bobo11bobo$50boobo7boboo$
52boo7boo$53bo7bo$52bobo5bobo$51bo3bo3bo3bo$51bobbo5bobbo$51bobboo3boo
bbo$51booboo3booboo$52bo9bo$51bo11bo$49bobo11bobo$48boobobbo5bobboboo$
47bobo15bobo$46bo6boo5boo6bo$47boobobobbo3bobboboboo$48bobobobo5bobobo
bo$50b3o9b3o$49bobo11bobo$48bo3bo9bo3bo$48bo4bo7bo4bo$54bo5bo$48b3obbo
7bobb3o$53bo7bo$53bobo3bobo$51bobobooboobobo$44b4o3bo4bobo4bo3b4o$43bo
bboo6boo3boo6boobbo$50bo4bo3bo4bo$43booboboboo11booboboboo$45bo23bo$
47b4obo9bob4o$49bobbo9bobbo$51bo11bo$47bobo15bobo$45boo21boo$$45bobo
19bobo$44bobbo19bobbo$44bobbo19bobbo$45b3o8b3o8b3o$45b3o8b3o8b3o$45boo
8bo3bo8boo$45b3ob5obo3bob5ob3o$19bo11bo14b3o6bo3bo6b3o14bo11bo$18b3o9b
3o15boo5b5o5boo15b3o9b3o$20bo9bo18bo4bobbobbo4bo18bo9bo$16boboo11boobo
15bobbo7bobbo15boboo11boobo$16bo4b3o3b3o4bo11bo4bobo7bobo4bo11bo4b3o3b
3o4bo$15bob3ob3o3b3ob3obo10bobo17bobo10bob3ob3o3b3ob3obo$46bobooboo9b
ooboobo$14b3ob4obo3bob4ob3o13bobbo7bobbo13b3ob4obo3bob4ob3o$14boo7bo3b
o7boo9bo21bo9boo7bo3bo7boo$14b3obboboo5boobobb3o9b3o3bo9bo3b3o9b3obbob
oo5boobobb3o$47bo19bo$19bobbo5bobbo16bobbo11bobbo16bobbo5bobbo$19bo11b
o15bo3bo11bo3bo15bo11bo$17boobbobo3bobobboo13bo3bo11bo3bo13boobbobo3bo
bobboo$17bo3b3o3b3o3bo18boo7boo18bo3b3o3b3o3bo$15boo4bobbobobbo4boo12b
o5bo5bo5bo12boo4bobbobobbo4boo$13bobooboboobbobobbooboboobo11bo3boo5b
oo3bo11bobooboboobbobobbooboboobo$12boobo3bo3bo3bo3bo3boboo11b3o9b3o
11boobo3bo3bo3bo3bo3boboo$11bobo3boo13boo3bobo35bobo3boo13boo3bobo$11b
oo8bo7bo8boo15booboo15boo8bo7bo8boo$12bo7b3o5b3o7bo15bo5bo15bo7b3o5b3o
7bo$20boobo3boboo53boobo3boboo$21b3o3b3o26b3o26b3o3b3o$13boo7boo3boo7b
oo17bo3bo17boo7boo3boo7boo$9bo31bo12bo5bo12bo31bo$8b3o29b3o13bobo13b3o
29b3o$7bobboo27boobbo11bobobo11bobboo27boobbo$7bo3boo25boo3bo12bobo12b
o3boo25boo3bo$7boboboo25boobobo10booboboo10boboboo25boobobo$8b3o29b3o
10bobobobobo10b3o29b3o$9boo29boo10bobo5bobo10boo29boo$7boo33boo12b3o
12boo33boo$7bobo10b3o9b3o6bobo8boobb3obboo8bobo6b3o9b3o10bobo$4b3o13bo
bo9bobo9b3o21b3o9bobo9bobo13b3o$4bo14bobbo9bobbo10bo21bo10bobbo9bobbo
14bo$bboobo13bob4o5b4obo9boboo17boobo9bob4o5b4obo13boboo$bboo13boo4bob
o3bobo4boo9boo6booboo6boo9boo4bobo3bobo4boo13boo$bo16b3oboobo3boboob3o
12bo7bo7bo12b3oboobo3boboob3o16bo$bobo12bo8bo3bo8bo8bobo7bo7bobo8bo8bo
3bo8bo12bobo$bobo12bobobboobo5boboobbobo8bobo15bobo8bobobboobo5boboobb
obo12bobo$bb3o10bo3boo4bo3bo4boo3bo6b3o17b3o6bo3boo4bo3bo4boo3bo10b3o$
16bobo5bo5bo5bobo37bobo5bo5bo5bobo$17bo4b3o5b3o4bo39bo4b3o5b3o4bo$3bo
43bo19bo43bo$21boobo5boboo47boobo5boboo$19booboobo3bobooboo20bobo20boo
boobo3bobooboo$19booboobooboobooboo43booboobooboobooboo$16boo8bobo8boo
16booboo16boo8bobo8boo$14boo3bob6ob6obo3boo16bo16boo3bob6ob6obo3boo$
15bobo3boo9boo3bobo35bobo3boo9boo3bobo$13boboo3bo13bo3boobo10bo9bo10bo
boo3bo13bo3boobo$13bobo6b3o5b3o6bobo9bo11bo9bobo6b3o5b3o6bobo$13boo25b
oo8bo4bo3bo4bo8boo25boo$25bo3bo21bo3bo3bo3bo21bo3bo$22bo3bobo3bo19bobb
o3bobbo19bo3bobo3bo$16boo5bobo3bobo5boo13bobo5bobo13boo5bobo3bobo5boo$
14bobbo19bobbo33bobbo19bobbo$17bo19bo14boo7boo14bo19bo$14boo23boo33boo
23boo$16bo9b3o9bo37bo9b3o9bo$14boo9bo3bo9boo33boo9bo3bo9boo$14booboob
6obob6obooboo33booboob6obob6obooboo$13bo3booboobo3bo3bobooboo3bo31bo3b
ooboobo3bo3bobooboo3bo$13b4oboobbobbooboobbobboob4o9boo9boo9b4oboobbo
bbooboobbobboob4o$13b3obboo5booboo5boobb3o9bobo7bobo9b3obboo5booboo5b
oobb3o$18boo4bo5bo4boo14boboo5boobo14boo4bo5bo4boo$18bo17bo7b3o4bobo7b
obo4b3o7bo17bo$45boo3bobbo7bobbo3boo$21boo9boo11bo3bobbo9bobbo3bo11boo
9boo$20boo11boo14bo15bo14boo11boo$21boo9boo10bo4bo15bo4bo10boo9boo$20b
obo9bobo10bo3bobo11bobo3bo10bobo9bobo$21bo11bo10boo3bobo11bobo3boo10bo
11bo$50bo13bo$18bo11bo$17b3o9b3o$16bobboo7boobbo$15bo3bobo5bobo3bo$14b
oobooboo5boobooboo$14b4o3bo5bo3b4o$14bo3b4obobob4o3bo$18bo11bo$13bobo
3boobbobobboo3bobo$14bo4bobo5bobo4bo21b3o$$17boobo7boboo22bo5bo$17b5o
5b5o22bo5bo$16boo4bo3bo4boo21bo5bo$19b4o3b4o$13bob3obobobobobobob3obo
20b3o$12b3obbo5bobo5bobb3o$11boobbo7bobo7bobboo$10boo3bo4bo7bo4bo3boo$
20bobo3bobo$20bobbobobbo$13bo7boo3boo7bo$9boboo23boobo$9b4o7bo7bo7b4o
43b3o9b3o$7boobo27boboo41bobbo7bobbo$6bobbo29bobbo39boo13boo$6boobbo
27bobboo37boobo3bo5bo3boboo$8b3o27b3o42b3oboo3boob3o$9boo27boo39bo21bo
$21bo11bo46bobob5o3b5obobo$7bo12b3o9b3o6bo38bo3bobboo3boobbo3bo$6b3o
13bo9bo7b3o37bo3b3o7b3o3bo$7boo9boboo11boobo3boo38bo4bo9bo4bo$3b3o12bo
4b3o3b3o4bo6b3o38b3o7b3o$bbo14bob3ob3o3b3ob3obo8bo36bobboo5boobbo$bbo
bbo37bobbo39boo5boo$bo14b3ob4obo3bob4ob3o8bo34boo4bo3bo4boo$3o13boo7bo
3bo7boo7b3o32bo3bo3bobo3bo3bo$16b3obboboo5boobobb3o39boob3obobobobobob
ob3oboo$3bo41bo31bo5boo4bobo4boo5bo$4bo16bobbo5bobbo10bo31bo4boo15boo
4bo$bb3o16bo11bo10b3o29b3o8bo5bo8b3o$3bo15boobbobo3bobobboo9bo39boo7b
oo$bboo15bo3b3o3b3o3bo9boo39bobbobobbo$17boo4bobbobobbo4boo8bo31bo8boo
3boo8bo$15bobooboboobbobobbooboboobo6b4o25bo3bo7bo5bo7bo3bo$14boobo3bo
3bo3bo3bo3boboo6boboo27bo23bo$13bobo3boo13boo3bobo6bobbo5bo15boo31boo$
13boo8bo7bo8boo7boo6bo14bobboo27boobbo$14bo7b3o5b3o7bo8boo6bo14boobbo
27bobboo$22boobo3boboo13bo26boobbo25bobboo$23b3o3b3o27b3o12bobo27bobo$
15boo7boo3boo7boo$11bo31bo13bo14b3o31b3o$10b3o29b3o12bo14bo35bo$9bobb
oo27boobbo11bo12boobbo31bobboo$9bo3boo25boo3bo23boo39boo$9boboboo25boo
bobo22bobbo37bobbo$10b3o29b3o22boo43boo$11boo29boo22bo47bo$9boo33boo
20b3o43b3o$9bobo31bobo21boo43boo$6b3o37b3o$6bo41bo19bobo39bobo$4boobo
39boboo17bobo39bobo$4boo43boo$3bo47bo16boo41boo$3bobo43bobo14bo$3bobo
43bobo12boobbo$4b3o41b3o13bo3bo$63bobbo$63bobbo$5bo43bo14boo$$48b3obo$
50boboo$50bobboo$50bob3o$51bobbo$52boo4$67boo$66bobo$68bo14$90bo$90boo
$89bobo15$112b3o$114bo$113bo!

Code: Select all

#C An orthogonal 3c/7 period 140 forward glider rake.
#C This uses a period 70 rake whose gliders impact into an
#C almost clean perturbation of a dirty puffer by Dylan Chen.
#C David I. Bell, 1 November 2026
x = 189, y = 332, rule = B3/S23
55bo7bo$53booboo3booboo$53booboo3booboo$56boo3boo$52bo5b3o5bo$52bo13bo
$53bo11bo$54boo7boo$51bobobobo3bobobobo$51boboboo5boobobo$51bobo11bobo
$$56bo5bo$55boo5boo$53boo9boo$53bo3bo3bo3bo$55bobbobobbo$55bobo3bobo$
54bo9bo$52bo3bo5bo3bo$51b4o9b4o$49boobobbo7bobboboo$49boobb3o7b3obboo$
52bobobbo3bobbobo$50bob3obbo3bobb3obo$50bo4bo7bo4bo$$51bo15bo$51boobo
9boboo$50bo3boo7boo3bo$$50boo4bo5bo4boo$$53booboo3booboo$47bo5boo3bobo
3boo5bo$46boboo5bobo3bobo5boobo$45boobbo3boobo5boboo3bobboo$47boboob6o
3b6oboobo$52bobbobo3bobobbo$49bobobbo9bobbobo$47b3o3bo11bo3b3o$47b3obo
bo11bobob3o$48b3o17b3o$$49bo19bo$47boo21boo$46bobbo19bobbo$46bobo21bob
o$47b3o19b3o$58b3o$51bo5bo3bo5bo$47boo3bo4bobobo4bo3boo$45bobbobbooboo
b5obooboobbobbo$45bobbo3bobo9bobo3bobbo$53bo11bo19b3o9b3o$50bo3boo7boo
3bo16bobo9bobo$49bobobbobo5bobobbobo14bobbo9bobbo$49bo3bo11bo3bo14bob
4o5b4obo$48bo21bo11boo4bobo3bobo4boo$47b4obboo9boobb4o11b3oboobo3boboo
b3o$47b4obbo11bobb4o9bo8bo3bo8bo$51boo13boo13bobobboobo5boboobbobo$19b
o11bo20bo13bo13bo3boo4bo3bo4boo3bo$18bobo9bobo48bobo5bo5bo5bobo$17boob
oo7booboo17bobo11bobo14bo4b3o5b3o4bo$17bo15bo16boo15boo$17b3obbo5bobb
3o14bobo4bo7bo4bobo15boobo5boboo$15bo7bo3bo7bo13bo3bobo7bobo3bo14boob
oobo3bobooboo$16boobbooboobooboobboo17b3obo5bob3o17booboobooboobooboo$
16bobo4bo3bo4bobo46boo8bobo8boo$13b3ob3obboo3boobb3ob3o13boo4bo3bo4boo
11boo3bob6ob6obo3boo$13boob4ob3o3b3ob4oboo17b3o3b3o16bobo3boo9boo3bobo
$14b4o4boo3boo4b4o19boo3boo15boboo3bo13bo3boobo$15bo5boo5boo5bo42bobo
6b3o5b3o6bobo$19bobbo5bobbo27bo18boo25boo$18b3obo5bob3o25bobo29bo3bo$
17bo5booboo5bo23booboo25bo3bobo3bo$16b3obooboobooboob3o23bobo27bobo3bo
bo$13booboo15booboo17boo5boo11b3o29b3o$12boobooboob4ob4oboobooboo20bo
15bobbo27bobbo$22boo3boo28bo3bo12bo4bo25bo4bo$13bo23bo19booboo11boo9bo
11bo13boo$10booboo6bo7bo6booboo12bo5bo5bo8bobobbo3b3o9b3o7bobbobo$11b
oo8boo5boo8boo14b3ob3ob3o17bobboo7boobbo$74bobbo3bo3bobo5bobo3bo7bobbo
16bo7bo$22b3ob3o45bobbobboobooboo5boobooboo6bobbo15b3o5b3o$9bo31bo30bo
bo5b4o3bo5bo3b4o9bobo13bobo5bobo$8b3o29b3o14booboo9b3o6bo3b4obobob4o3b
o10b3o10bobo4bo4bobo$7booboo27booboo29bo10bo11bo14bo12boo4bobo4boo$6b
3o33b3o13b3o8bo9bobo3boobbobobboo3bobo13bo13bobobo$6boo35boo14bo8boboo
8bo4bobo5bobo4bo12boobo11boo3boo$6b3o33b3o13bobo7bobo43bobo10b3o3b3o$
8bo33bo15b3o6boo14boobo7boboo18boo5boobbo7bobboo$68bo14b5o5b5o18bo6boo
bo9boboo$7boo33boo25b3o10boo4bo3bo4boo14b3o7bo15bo$4boobo35boboo23bo
14b4o3b4o18bo10boboo5boobo$4bobbo35bobbo32bob3obobobobobobob3obo22boob
oo5booboo$6bo37bo33b3obbo5bobo5bobb3o26bo3bo$bboo43boo28boobbo7bobo7bo
bboo21bo11bo$boboo41boobo26boo3bo4bo7bo4bo3boo19bo4bo3bo4bo$boboo41boo
bo36bobo3bobo33boo3boo$oo47boo35bobbobobbo33boo3boo$oobo43boboo28bo7b
oo3boo7bo22bo3bo5bo3bo$bb3o41b3o26boboo23boobo18bo3bo5bo3bo$bb3o41b3o
26b4o7bo7bo7b4o17boo13boo$73boobo27boboo14boobbo9bobboo$72bobbo29bobbo
16b3o7b3o$72boobbo27bobboo14boobboo5boobboo$74b3o27b3o13bobboobobbo3bo
bboboobbo$75boo27boo14bo4boobo5boboo4bo$121b3obbo9bobb3o$73bo33bo14boo
b3o7b3oboo$72b3o31b3o13boobboo7boobboo$73boo31boo14boo15boo$69b3o37b3o
10boobb3o5b3obboo$68bo43bo13bo9bo$68bobbo37bobbo9boo15boo$67bo45bo12bo
bbo3bobbo$66b3o43b3o11booboobooboo$118b3o7bo5bo7b3o$60bo8bo41bo6bobbo
6bo5bo6bobbo$60bo9bo39bo10booboobooboboboobooboo$60bo7b3o39b3o7boboobo
bbobobobobboboobobbo$69bo41bo11bobo11bobo$68boo41boo5bobobo17bobobo$
68bo50bobb4o11b4obbo$65b4o$64boobo55bo15bo$63bobbo54bo19bo$64boo53boo
21boo$64boo53boo21boo$68bo49boboo19boobo$118boobbo17bobboo$117boobobbo
7bo7bobboboo$117b3oboo7b3o7boob3o$117b3o3bobobbooboboobbobo3b3o$126b3o
bbobb3o$123bo15bo$123bobboo3bo3boobbo16b3o9b3o$122boobobo3bo3boboboo
15bobo9bobo$122boboo11boobo14bobbo9bobbo$122boboboboo3boobobobo14bob4o
5b4obo$120b3o3bo9bo3b3o10boo4bobo3bobo4boo$68b3o49bo21bo11b3oboobo3bob
oob3o$70bo49bo21bo9bo8bo3bo8bo$69bo51bo4bo9bo4bo10bobobboobo5boboobbob
o$120bob4o11b4obo8bo3boo4bo3bo4boo3bo$119boo21boo8bobo5bo5bo5bobo$120b
obo17bobo10bo4b3o5b3o4bo$120boboobo11boboobo$121b6o9b6o15boobo5boboo$
124bobbo7bobbo16booboobo3bobooboo$125b3o7b3o17booboobooboobooboo$124bo
3bo5bo3bo13boo8bobo8boo$123bo4bo5bo4bo10boo3bob6ob6obo3boo$86boo35bo4b
o5bo4bo11bobo3boo9boo3bobo$85bobo36boo11boo10boboo3bo13bo3boobo$87bo
61bobo6b3o5b3o6bobo$130bobo16boo25boo$131bo29bo3bo$129bo3bo24bo3bobo3b
o$129bo3bo25bobo3bobo$128bo5bo11b3o29b3o$128booboboo11bobbo27bobbo$
128booboboo10bo4bo25bo4bo$128bobobobo9boo35boo$127bobooboobo9bobobbo
25bobbobo$127bo7bo$103b3o20boo7boo8bobbo29bobbo$105bo21bobbobobbo9bobb
o29bobbo$104bo24booboo9bobo35bobo$131bo10b3o37b3o$144bo37bo$140bo45bo$
139boboo41boobo$128bobo8bobo43bobo$127bo10boo47boo$127bo4bo6bo47bo$
126boo5bo6b3o41b3o$127bo4bo8bo43bo$121boo4boboo$120bobo$122bo$126bo25b
o11bo$125boo23booboo7booboo$136boo12booboo7booboo$128bobo4bobbo10bo3b
oo7boo3bo$126b3o7boo11b3o13b3o$127bo8boo14b3obooboob3o$126bo21b3o5boob
oo5b3o$89b3o9b3o32b3o8bo5boo7boo5bo$89bobbo7bobbo42bo6boobbobobboo6bo$
88boo13boo47b3obbobobb3o$86boobo3bo5bo3boboo39bo6bo9bo6bo$89b3oboo3boo
b3o43boo5bo7bo5boo$85bo21bo43boobboo3boobboo$86bobob5o3b5obobo44b5o5b
5o$86bo3bobboo3boobbo3bo42bo7bobo7bo$86bo3b3o7b3o3bo41bobbo3b3ob3o3bo
bbo$86bo4bo9bo4bo38b3o21b3o$90b3o7b3o22bo19booboobobbobbobobbobboboob
oo$89bobboo5boobbo21bo19b3o6bobbobobbo6b3o$92boo5boo24bo19b3o7bo5bo7b
3o$88boo4bo3bo4boo38booboo6boo5boo6booboo$87bo3bo3bobo3bo3bo37b4o7boo
5boo7b4o$84boob3obobobobobobob3oboo45bo7bo$83bo5boo4bobo4boo5bo46bo3bo
$82bo4boo15boo4bo30b3o12bo3bo12b3o$82b3o8bo5bo8b3o29bo3bo27bo3bo$91boo
7boo37bo3boo5b3o9b3o7boo3bo$92bobbobobbo41bo7bobbo7bobbo9bo$84bo8boo3b
oo8bo29bo10boo13boo12bo$81bo3bo7bo5bo7bo3bo27bobo5boobo3bo5bo3boboo7bo
bo$84bo23bo32bo8b3oboo3boob3o10bo$79boo31boo26boo4bo21bo6boo$78bobboo
27boobbo24b3o5bobob5o3b5obobo7b3o$78boobbo27bobboo22boobo6bo3bobboo3b
oobbo3bo8boboo$79boobbo25bobboo23bobbo6bo3b3o7b3o3bo8bobbo$80bobo27bob
o14boo7bo10bo4bo9bo4bo12bo$127boo6b3o13b3o7b3o15b3o$78b3o31b3o19bo15bo
bboo5boobbo17bo$78bo35bo19boboo15boo5boo17boobo$76boobbo31bobboo19boo
11boo4bo3bo4boo13boo$75boo39boo15bobboo10bo3bo3bobo3bo3bo12boobbo$74bo
bbo37bobbo26boob3obobobobobobob3oboo$73boo43boo15bobo6bo5boo4bobo4boo
5bo8bobo$72bo47bo15bo6bo4boo15boo4bo8bo$72b3o43b3o5b3o14b3o8bo5bo8b3o$
73boo43boo13b3o16boo7boo$132boobo17bobbobobbo$74bobo39bobo14boboo8bo8b
oo3boo8bo$74bobo39bobo15b3o5bo3bo7bo5bo7bo3bo$134bobo8bo23bo$74boo41b
oo13b4o4boo31boo$132boo5bobboo27boobbo$139boobbo27bobboo$140boobbo3b3o
9b3o7bobboo$141bobo4bobbo7bobbo8bobo$147boo13boo$139b3o3boobo3bo5bo3bo
boo7b3o$139bo8b3oboo3boob3o12bo$137boobbobbo21bo6bobboo$136boo7bobob5o
3b5obobo11boo$135bobbo6bo3bobboo3boobbo3bo10bobbo$134boo9bo3b3o7b3o3bo
13boo$126b3o4bo11bo4bo9bo4bo15bo$133b3o13b3o7b3o17b3o$134boo12bobboo5b
oobbo16boo$151boo5boo$135bobo9boo4bo3bo4boo13bobo$135bobo8bo3bo3bobo3b
o3bo12bobo$143boob3obobobobobobob3oboo$135boo5bo5boo4bobo4boo5bo9boo$
133bo7bo4boo15boo4bo$131boobbo5b3o8bo5bo8b3o$131bo3bo14boo7boo$130bobb
o17bobbobobbo$130bobbo9bo8boo3boo8bo$131boo7bo3bo7bo5bo7bo3bo$143bo23b
o$125bo12boo31boo$125bo11bobboo27boobbo$125bo11boobbo27bobboo$138boobb
o25bobboo$139bobo27bobo$$137b3o31b3o$137bo35bo$135boobbo31bobboo$134b
oo39boo$133bobbo37bobbo$132boo43boo$131bo47bo$131b3o43b3o$132boo43boo
$$133bobo39bobo$133bobo39bobo$$133boo41boo$131bo$129boobbo$129bo3bo$
128bobbo$128bobbo$129boo19$142b3o$144bo$143bo23$177b3o$179bo$178bo!

Code: Select all

#C An orthogonal 3c/7 period 182 forward glider rake.
#C This uses a period 91 rake whose gliders impact into an
#C almost clean perturbation of a dirty puffer by Dylan Chen.
#C David I. Bell, 1 November 2026
x = 193, y = 473, rule = B3/S23
53b3o5b3o$53bobo5bobo$53bobo5bobo$51boboo3bo3boobo$51boo4bobo4boo$55b
ooboboo$54bo7bo$54bobo3bobo$50b5o7b5o$49bobbo11bobbo$50bob3o7b3obo$52b
oboo5boobo$51boobobo3boboboo$51b3obo5bob3o$$55boo3boo$57bobo$54bo7bo$
54boo5boo$51boo11boo$49boboo11boobo$49boobboo7boobboo$49bobbobbo5bobbo
bbo$50bo4bo5bo4bo$50bobbobbo3bobbobbo$47bo5bo9bo5bo$48bobo15bobo$52bo
11bo$48bo3bobo7bobo3bo$48bobbo3bo5bo3bobbo$49boobboo7boobboo$53bo9bo$$
53b5ob5o$46bo6booboobooboo6bo$45b3o7bo5bo7b3o$45bobboo5bo5bo5boobbo$
47bo3b5o5b5o3bo$52boboo5boobo$46bo3bo15bo3bo$46boboobbo11bobboobo$46bo
b4o13b4obo$49bo17bo$$47bo21bo$46bobo19bobo$45bo25bo$45bobbo19bobbo$49b
o17bo$47bobbo6b3o6bobbo$43bo4b4o4bo3bo4b4o4bo$44boboobo3boboo3boobo3bo
boobo$45bo5bob5ob5obo5bo$20bo11bo22bo5bo22bo11bo$18booboo7booboo15bobb
oo7boobbo15booboo7booboo$18booboo7booboo14bobbobo7bobobbo14booboo7boob
oo$17bo3boo7boo3bo12boo4boo5boo4boo12bo3boo7boo3bo$17b3o13b3o13boboboo
7boobobo13b3o13b3o$20b3obooboob3o14boboobobo7boboboobo14b3obooboob3o$
16b3o5booboo5b3o9boo21boo9b3o5booboo5b3o$15bo5boo7boo5bo9boo19boo9bo5b
oo7boo5bo$14bo6boobbobobboo6bo8b6o11b6o8bo6boobbobobboo6bo$20b3obbobo
bb3o13boob4o11b4oboo13b3obbobobb3o$14bo6bo9bo6bo7boobobo13boboboo7bo6b
o9bo6bo$15boo5bo7bo5boo9boboo15boobo9boo5bo7bo5boo$19boobboo3boobboo
13bo4boo9boo4bo13boobboo3boobboo$19b5o5b5o14bo4bo9bo4bo14b5o5b5o$17bo
7bobo7bo13bo4bo7bo4bo13bo7bobo7bo$16bobbo3b3ob3o3bobbo14b5o5b5o14bobbo
3b3ob3o3bobbo$13b3o21b3o11b3obo5bob3o11b3o21b3o$13booboobobbobbobobbo
bbobooboo10boobb3o3b3obboo10booboobobbobbobobbobbobooboo$13b3o6bobbobo
bbo6b3o10bo15bo10b3o6bobbobobbo6b3o$13b3o7bo5bo7b3o11bo13bo11b3o7bo5bo
7b3o$11booboo6boo5boo6booboo33booboo6boo5boo6booboo$11b4o7boo5boo7b4o
16bo16b4o7boo5boo7b4o$22bo7bo26b3o26bo7bo$24bo3bo28bobo28bo3bo$9b3o12b
o3bo12b3o11boo3boo11b3o12bo3bo12b3o$8bo3bo27bo3bo10bobobobo10bo3bo27bo
3bo$7bo3boo27boo3bo8bo7bo8bo3boo27boo3bo$10bo31bo11bo3bo3bo11bo31bo$6b
o39bo7bo7bo7bo39bo$7bobo33bobo8bobooboobo8bobo33bobo$9bo33bo10bo7bo10b
o33bo$8boo33boo8b3o5b3o8boo33boo$7b3o11b3o9b3o7b3o7b5ob5o7b3o7b3o9b3o
11b3o$5boobo11bo3bo7bo3bo7boboo8booboo8boobo7bo3bo7bo3bo11boboo$5bobbo
10bobo3bo5bo3bobo6bobbo9b3o9bobbo6bobo3bo5bo3bobo10bobbo$4bo14bo3boo7b
oo3bo10bo19bo10bo3boo7boo3bo14bo$3b3o13b3o3bo5bo3b3o9b3o7b3o7b3o9b3o3b
o5bo3b3o13b3o$bbo15bo3boob3ob3oboo3bo11bo15bo11bo3boob3ob3oboo3bo15bo$
bboboo12boobbo3booboo3bobboo8boobo6bobo6boboo8boobbo3booboo3bobboo12b
oobo$4boo11b3o3b5ob5o3b3o7boo9bo9boo7b3o3b5ob5o3b3o11boo$bobboo19bo5bo
15boobbo4b5o4bobboo15bo5bo19boobbo$22bo11bo20bo5bo20bo11bo$3bobo11bo4b
o11bo4bo7bobo17bobo7bo4bo11bo4bo11bobo$4bo12bo4b4o5b4o4bo8bo19bo8bo4b
4o5b4o4bo12bo$21bo4bo3bo4bo19bo5bo19bo4bo3bo4bo$20boob3o5b3oboo17boobb
obboo17boob3o5b3oboo$20boobo3bobo3boboo18bobbobbo18boobo3bobo3boboo$
16b3o7booboo7b3o15b5o15b3o7booboo7b3o$15bo3boo4bobobobo4boo3bo14b5o14b
o3boo4bobobobo4boo3bo$14bo3bo19bo3bo9bo11bo9bo3bo19bo3bo$14bo9b3o3b3o
9bo8boobboo3boobboo8bo9b3o3b3o9bo$18bo6boo3boo6bo11b3obboo3boobb3o11bo
6boo3boo6bo$13bo12bo3bo12bo7boobboo3boobboo7bo12bo3bo12bo$13bobboo5bo
9bo5boobbo8b4o5b4o8bobboo5bo9bo5boobbo$14boo8bo7bo8boo10boo7boo10boo8b
o7bo8boo$18bo6bo5bo6bo39bo6bo5bo6bo$18boo17boo39boo17boo$19bo17bo41bo
17bo$28bo59bo$16b3o8bobo8b3o35b3o8bobo8b3o$15bo6b3obo3bob3o6bo33bo6b3o
bo3bob3o6bo$15boo5bob3o3b3obo5boo33boo5bob3o3b3obo5boo$13bo7bo13bo7bo
29bo7bo13bo7bo$15b3oboboo11boobob3o15b3o15b3oboboo11boobob3o$21boo11b
oo45boo11boo$13b3oboobbobbo7bobbobboob3o11bo5bo11b3oboobbobbo7bobbobb
oob3o$20bo4boo3boo4bo18bo5bo18bo4boo3boo4bo$18bo19bo16bo5bo16bo19bo$
20bobo11bobo43bobo11bobo$23bo9bo23b3o23bo9bo$21bo13bo45bo13bo$22bo11bo
47bo11bo3$18b3o9b3o$18bobo9bobo$17bobbo9bobbo$17bob4o5b4obo$15boo4bobo
3bobo4boo$16b3oboobo3boboob3o$14bo8bo3bo8bo$14bobobboobo5boboobbobo$
13bo3boo4bo3bo4boo3bo$14bobo5bo5bo5bobo$15bo4b3o5b3o4bo$$19boobo5boboo
$17booboobo3bobooboo$17booboobooboobooboo$14boo8bobo8boo$12boo3bob6ob
6obo3boo$13bobo3boo9boo3bobo$11boboo3bo13bo3boobo$11bobo6b3o5b3o6bobo$
11boo25boo$23bo3bo$20bo3bobo3bo54bo11bo$21bobo3bobo54bobo9bobo$8b3o29b
3o40booboo7booboo$8bobbo27bobbo40bo15bo$7bo4bo25bo4bo39b3obbo5bobb3o
28b3o5b3o$6boo35boo13bo22bo7bo3bo7bo26bobbo3bobbo$7bobobbo25bobbobo14b
o23boobbooboobooboobboo25boo5bo5boo$22bo11bo23bo23bobo4bo3bo4bobo25boo
4b3o4boo$7bobbo9booboo7booboo3bobbo35b3ob3obboo3boobb3ob3o29bo$7bobbo
9booboo7booboo3bobbo10b3o3b3o16boob4ob3o3b3ob4oboo26boo3boo$5bobo11bo
3boo7boo3bo5bobo34b4o4boo3boo4b4o23bo3bo5bo3bo$4b3o12b3o13b3o6b3o11bo
22bo5boo5boo5bo24bobbo7bobbo$6bo15b3obooboob3o9bo13bo26bobbo5bobbo28bo
bo9bobo$bbo15b3o5booboo5b3o9bo9bo25b3obo5bob3o26bobo11bobo$boboo12bo5b
oo7boo5bo6boobo33bo5booboo5bo26boobo7boboo$bobo12bo6boobbobobboo6bo6bo
bo32b3obooboobooboob3o26boboo5boobo$oo20b3obbobobb3o14boo28booboo15boo
boo26bo5bo$bo14bo6bo9bo6bo8bo28boobooboob4ob4oboobooboo23b3o5b3o$bb3o
12boo5bo7bo5boo6b3o39boo3boo32b5o3b5o$3bo17boobboo3boobboo11bo31bo23bo
22b3obo5bob3o$21b5o5b5o40booboo6bo7bo6booboo19boo11boo$19bo7bobo7bo39b
oo8boo5boo8boo21booboo3booboo$18bobbo3b3ob3o3bobbo7bobo79boo7boo$15b3o
21b3o5booboo36b3ob3o31b3o9b3o$15booboobobbobbobobbobbobooboo6bobobo22b
o31bo16booboo9booboo$15b3o6bobbobobbo6b3o5boo25b3o29b3o16bo15bo$15b3o
7bo5bo7b3o6bobobbo19booboo27booboo13boboobboo5boobboobo$13booboo6boo5b
oo6booboo5bobbo19b3o33b3o11bobbo3boo5boo3bobbo$13b4o7boo5boo7b4o6boo
20boo35boo12boo3bobbo3bobbo3boo$24bo7bo39b3o33b3o12boobobo9boboboo$26b
o3bo43bo33bo19boo7boo$11b3o12bo3bo12b3o79bo15bo$10bo3bo27bo3bo26boo33b
oo14boobbo9bobboo$9bo3boo27boo3bo22boobo35boboo16bo7bo$12bo31bo25bobbo
35bobbo11bo4boo5boo4bo$8bo39bo23bo37bo14bo3boo5boo3bo$9bobo33bobo20boo
43boo10bobboo7boobbo$11bo33bo21boboo41boobo13bobooboobo$10boo33boo20bo
boo41boobo5boo8booboo8boo$9b3o33b3o18boo47boo3boobo4bo3bobo3bo4boboo$
7boobo35boboo16boobo43boboo3bobbo6b3ob3o6bobbo$7bobbo35bobbo18b3o41b3o
4b4obb3obboo3boobb3obb4o$6bo43bo17b3o41b3o5boo3b3o11b3o3boo$5b3o41b3o
68b3o21b3o$4bo47bo71b4o11b4o$4boboo41boobo4b3o7boo56bobbo9bobbo$6boo
41boo14boobo55bobo13bobo$3bobboo41boobbo10bobo55bo21bo$61bob3obboo52bo
21bo$5bobo41bobo9boboo3boo51bo23bo$6bo43bo11b4obo54bo21bo$57b3o6bo53b
ooboo17booboo$51b3o66bobboo8bo8boobbo$51boboo65bo3bo7bobo7bo3bo$50boob
o66bo10bo3bo10bo$50b3o67bo3bob3obooboboob3obo3bo$50bobo72b4obbooboobb
4o$51b4o66bo5boobbobobobboo5bo13bo11bo$53boo70bo4booboboo4bo16b3o9b3o$
124b3o3booboboo3b3o17bo9bo$126bob3o5b3obo15boboo11boobo$123bo4bo9bo4bo
12bo4b3o3b3o4bo$121boob4o11b4oboo9bob3ob3o3b3ob3obo$124b5o9b5o$123bob
4o9b4obo10b3ob4obo3bob4ob3o$122bo21bo9boo7bo3bo7boo$122bobo17bobo9b3o
bboboo5boobobb3o$122bo21bo$123boo17boo15bobbo5bobbo$79boo42boob3o9b3ob
oo15bo11bo$80boo45bo11bo17boobbobo3bobobboo$79bo48boo7boo18bo3b3o3b3o
3bo$128bobo5bobo16boo4bobbobobbo4boo$125b6o5b6o11bobooboboobbobobboobo
boobo$126b4o7b4o11boobo3bo3bo3bo3bo3boboo$127bo11bo11bobo3boo13boo3bob
o$131bo3bo15boo8bo7bo8boo$131bo3bo16bo7b3o5b3o7bo$133bo26boobo3boboo$
132b3o26b3o3b3o$131b5o17boo7boo3boo7boo$131bo3bo13bo31bo$131b5o12b3o
29b3o$131bo3bo11bobboo27boobbo$130bo5bo10bo3boo25boo3bo$102boo26boobob
oo10boboboo25boobobo$101bobo25bobo3bobo10b3o29b3o$103bo25b3o3b3o11boo
29boo$128bobbooboobbo8boo33boo$132bobo12bobo12bo11bo6bobo$133bo10b3o
14b3o9b3o8b3o$144bo15bobboo7boobbo9bo$142boobo13bo3bobo5bobo3bo7boboo$
142boo14boobooboo5boobooboo8boo$130bobobobo4bo16b4o3bo5bo3b4o10bo$130b
oo3boo4bobo14bo3b4obobob4o3bo8bobo$141bobo18bo11bo12bobo$129bo7bo4b3o
12bobo3boobbobobboo3bobo6b3o$129b3o3b3o20bo4bobo5bobo4bo$$143bo17boobo
7boboo11bo$125bo35b5o5b5o$125boo33boo4bo3bo4boo$124bobo36b4o3b4o$129b
oo26bob3obobobobobobob3obo$129boo25b3obbo5bobo5bobb3o$155boobbo7bobo7b
obboo$154boo3bo4bo7bo4bo3boo$164bobo3bobo$164bobbobobbo$139boobbo13bo
7boo3boo7bo$139boobo10boboo23boobo$144boo7b4o7bo7bo7b4o$128b3o9bob5o4b
oobo27boboo$140boobb3o3bobbo29bobbo$145bo4boobbo6b3o9b3o6bobboo$152b3o
5bo3bo7bo3bo5b3o$153boo4bobo3bo5bo3bobo4boo$159bo3boo7boo3bo$151bo7b3o
3bo5bo3b3o7bo$150b3o5bo3boob3ob3oboo3bo5b3o$151boo5boobbo3booboo3bobb
oo5boo$147b3o7b3o3b5ob5o3b3o7b3o$146bo18bo5bo18bo$146bobbo12bo11bo12bo
bbo$145bo11bo4bo11bo4bo11bo$144b3o10bo4b4o5b4o4bo10b3o$161bo4bo3bo4bo$
147bo12boob3o5b3oboo12bo$148bo11boobo3bobo3boboo11bo$146b3o7b3o7booboo
7b3o7b3o$147bo7bo3boo4bobobobo4boo3bo7bo$146boo6bo3bo19bo3bo6boo$154bo
9b3o3b3o9bo$127bo30bo6boo3boo6bo$127bo9boo14bo12bo3bo12bo$127bo9boo14b
obboo5bo9bo5boobbo$154boo8bo7bo8boo$152bo12bo5bo12bo$130boo19b3o29b3o$
130boo18boobbo27bobboo$153boo27boo$153bo29bo$$150bo35bo$151boo31boo$
129boo18bobbo31bobbo$129boo17bo39bo$147boo39boo$146b4o37b4o$145bo45bo$
145b3o41b3o$144bo10bo11bo24bo$146boo5booboo7booboo19boo$148bo4booboo7b
ooboo18bo$128b3o15boo4bo3boo7boo3bo18boo$147bo4b3o13b3o18bo$146bo8b3ob
ooboob3o22bo$146bo4b3o5booboo5b3o18bo$144boo4bo5boo7boo5bo$142boobo3bo
6boobbobobboo6bo$142bo12b3obbobobb3o$142boo5bo6bo9bo6bo$143bo3bobboo5b
o7bo5boo$129boo15bo7boobboo3boobboo$129boo11bobbo8b5o5b5o$142bo9bo7bob
o7bo$151bobbo3b3ob3o3bobbo$148b3o21b3o$148booboobobbobbobobbobbobooboo
$148b3o6bobbobobbo6b3o$148b3o7bo5bo7b3o$146booboo6boo5boo6booboo$128b
3o15b4o7boo5boo7b4o$157bo7bo$159bo3bo$144b3o12bo3bo12b3o$143bo3bo27bo
3bo$142bo3boo5b3o9b3o7boo3bo$145bo7bobo9bobo9bo$141bo10bobbo9bobbo12bo
$142bobo7bob4o5b4obo9bobo$129boo13bo5boo4bobo3bobo4boo7bo$129boo12boo
6b3oboobo3boboob3o8boo$142b3o4bo8bo3bo8bo6b3o$140boobo5bobobboobo5bob
oobbobo7boboo$140bobbo4bo3boo4bo3bo4boo3bo6bobbo$139bo9bobo5bo5bo5bobo
11bo$138b3o9bo4b3o5b3o4bo11b3o$137bo47bo$137boboo13boobo5boboo15boobo$
128b3o8boo11booboobo3bobooboo13boo$136bobboo11booboobooboobooboo13boo
bbo$149boo8bobo8boo$138bobo6boo3bob6ob6obo3boo8bobo$139bo8bobo3boo9boo
3bobo10bo$146boboo3bo13bo3boobo$136b3o7bobo6b3o5b3o6bobo$135boobo7boo
25boo$136boboo18bo3bo$137b3o15bo3bobo3bo$137bobo16bobo3bobo$135b4o4b3o
29b3o$135boo6bobbo27bobbo$142bo4bo4b3o9b3o6bo4bo$141boo8bo3bo7bo3bo10b
oo$142bobobbobbobo3bo5bo3bobo4bobbobo$150bo3boo7boo3bo$142bobbo4b3o3bo
5bo3b3o6bobbo$142bobbo3bo3boob3ob3oboo3bo5bobbo$140bobo6boobbo3booboo
3bobboo8bobo$139b3o6b3o3b5ob5o3b3o8b3o$127bo13bo14bo5bo16bo$127bo9bo
15bo11bo17bo$127bo8boboo8bo4bo11bo4bo10boobo$136bobo9bo4b4o5b4o4bo11bo
bo$135boo15bo4bo3bo4bo17boo$136bo14boob3o5b3oboo16bo$137b3o11boobo3bob
o3boboo13b3o$138bo8b3o7booboo7b3o10bo$146bo3boo4bobobobo4boo3bo$145bo
3bo19bo3bo$137bobo5bo9b3o3b3o9bo$134booboo10bo6boo3boo6bo$129boobbobob
o6bo12bo3bo12bo$129boo6boo5bobboo5bo9bo5boobbo$132bobbobo7boo8bo7bo8b
oo$133bobbo6bo12bo5bo12bo$134boo6b3o29b3o$141boobbo27bobboo$144boo27b
oo$144bo5b3o9b3o9bo$149bo3bo7bo3bo$128b3o10bo6bobo3bo5bo3bobo10bo$142b
oo4bo3boo7boo3bo8boo$140bobbo4b3o3bo5bo3b3o8bobbo$139bo7bo3boob3ob3ob
oo3bo11bo$138boo7boobbo3booboo3bobboo11boo$137b4o5b3o3b5ob5o3b3o9b4o$
136bo17bo5bo21bo$136b3o12bo11bo16b3o$135bo10bo4bo11bo4bo14bo$137boo7bo
4b4o5b4o4bo11boo$139bo10bo4bo3bo4bo14bo$137boo10boob3o5b3oboo14boo$
138bo10boobo3bobo3boboo14bo$137bo7b3o7booboo7b3o11bo$137bo6bo3boo4bobo
bobo4boo3bo10bo$135boo6bo3bo19bo3bo$133boobo6bo9b3o3b3o9bo$133bo13bo6b
oo3boo6bo$133boo7bo12bo3bo12bo$130bo3bo3bo3bobboo5bo9bo5boobbo$137bo5b
oo8bo7bo8boo$136bo4bo12bo5bo12bo$133boo5b3o29b3o$139boobbo27bobboo$
142boo27boo$142bo29bo$$139bo35bo$140boo31boo$138bobbo31bobbo$137bo39bo
$136boo39boo$135b4o37b4o$134bo45bo$134b3o41b3o$133bo47bo$135boo41boo$
137bo39bo$135boo41boo$136bo41bo$135bo43bo$135bo43bo$133boo$131boobo$
131bo$131boo$132bo3bo$135bo$131bobbo$131bo6$130boo$129bobo$131bo31$
175b3o$177bo$176bo!

This last new period is interesting because it happens to be the first period covered in the yet-to-be-created series of adjustable rakes.

Code: Select all

#C An orthogonal 3c/7 period 280 forward glider rake.
#C This uses a period 70 rake whose gliders impact into an
#C almost clean perturbation of a dirty puffer by Dylan Chen.
#C David I. Bell, 1 November 2026
x = 229, y = 682, rule = B3/S23
54bo7bo$53b3o5b3o$52bobboo3boobbo$51boob9oboo$52boboo5boobo$51b3oboo3b
oob3o$51b3o4bo4b3o$54bo7bo$51bobbo7bobbo$50bobo11bobo$51boobo7boboo$
53boo7boo$54bo7bo$53bobo5bobo$52bo3bo3bo3bo$52bobbo5bobbo$52bobboo3boo
bbo$52booboo3booboo$53bo9bo$52bo11bo$50bobo11bobo$49boobobbo5bobboboo$
48bobo15bobo$47bo6boo5boo6bo$48boobobobbo3bobboboboo$49bobobobo5bobobo
bo$51b3o9b3o$50bobo11bobo$49bo3bo9bo3bo$49bo4bo7bo4bo$55bo5bo$49b3obbo
7bobb3o$54bo7bo$54bobo3bobo$52bobobooboobobo$45b4o3bo4bobo4bo3b4o$44bo
bboo6boo3boo6boobbo$51bo4bo3bo4bo$44booboboboo11booboboboo$46bo23bo$
48b4obo9bob4o$50bobbo9bobbo$52bo11bo$48bobo15bobo$46boo21boo$$46bobo
19bobo$45bobbo19bobbo$45bobbo19bobbo$46b3o8b3o8b3o$46b3o8b3o8b3o$46boo
8bo3bo8boo$46b3ob5obo3bob5ob3o$47b3o6bo3bo6b3o$49boo5b5o5boo17bo11bo$
50bo4bobbobbo4bo16booboo7booboo$51bobbo7bobbo17booboo7booboo$47bo4bobo
7bobo4bo12bo3boo7boo3bo$47bobo17bobo12b3o13b3o$47bobooboo9booboobo15b
3obooboob3o$51bobbo7bobbo15b3o5booboo5b3o$47bo21bo10bo5boo7boo5bo$47b
3o3bo9bo3b3o9bo6boobbobobboo6bo$17b3o9b3o16bo19bo16b3obbobobb3o$16bo3b
o7bo3bo16bobbo11bobbo11bo6bo9bo6bo$15bobo3bo5bo3bobo14bo3bo11bo3bo11b
oo5bo7bo5boo$15bo3boo7boo3bo14bo3bo11bo3bo15boobboo3boobboo$15b3o3bo5b
o3b3o19boo7boo20b5o5b5o$14bo3boob3ob3oboo3bo14bo5bo5bo5bo14bo7bobo7bo$
14boobbo3booboo3bobboo15bo3boo5boo3bo14bobbo3b3ob3o3bobbo$13b3o3b5ob5o
3b3o15b3o9b3o12b3o21b3o$21bo5bo50booboobobbobbobobbobbobooboo$18bo11bo
25booboo17b3o6bobbobobbo6b3o$13bo4bo11bo4bo19bo5bo16b3o7bo5bo7b3o$13bo
4b4o5b4o4bo40booboo6boo5boo6booboo$17bo4bo3bo4bo25b3o16b4o7boo5boo7b4o
$16boob3o5b3oboo23bo3bo26bo7bo$16boobo3bobo3boboo22bo5bo27bo3bo$12b3o
7booboo7b3o20bobo14b3o12bo3bo12b3o$11bo3boo4bobobobo4boo3bo18bobobo12b
o3bo27bo3bo$10bo3bo19bo3bo18bobo12bo3boo27boo3bo$10bo9b3o3b3o9bo16boob
oboo13bo7bo11bo11bo$14bo6boo3boo6bo19bobobobobo8bo10b3o9b3o14bo$9bo12b
o3bo12bo13bobo5bobo8bobo9bo9bo13bobo$9bobboo5bo9bo5boobbo17b3o14bo5bob
oo11boobo9bo$10boo8bo7bo8boo14boobb3obboo9boo5bo4b3o3b3o4bo9boo$8bo12b
o5bo12bo31b3o4bob3ob3o3b3ob3obo8b3o$7b3o29b3o28boobo35boboo$6boobbo27b
obboo27bobbo4b3ob4obo3bob4ob3o8bobbo$9boo27boo16booboo8bo8boo7bo3bo7b
oo12bo$9bo29bo28b3o7b3obboboo5boobobb3o11b3o$55boo3boo5bo47bo7bo7bo$6b
o35bo12booboboo5boboo12bobbo5bobbo16boobo5booboo3booboo$7boo31boo12bo
3boboo7boo12bo11bo16boo7booboo3booboo$5bobbo31bobbo11b5o6bobboo10boobb
obo3bobobboo14boobbo7boo3boo$4bo39bo10bo25bo3b3o3b3o3bo22bo5b3o5bo$3b
oo39boo10bobbo8bobo8boo4bobbobobbo4boo12bobo5bo13bo$bb4o37b4o9bobbo9bo
7bobooboboobbobobbooboboobo11bo7bo11bo$bo45bo9bo18boobo3bo3bo3bo3bo3bo
boo19boo7boo$b3o41b3o5bo21bobo3boo13boo3bobo15bobobobo3bobobobo$o47bo
3boo7bobo11boo8bo7bo8boo15boboboo5boobobo$bboo41boo4boo8bobo12bo7b3o5b
3o7bo16bobo11bobo$4bo39bo19bo19boobo3boboo$bboo41boo13bobbo21b3o3b3o
30bo5bo$3bo41bo15boo14boo7boo3boo7boo21boo5boo$bbo43bo13bobo10bo31bo
15boo9boo$bbo43bo13boo10b3o29b3o14bo3bo3bo3bo$61bo9bobboo27boobbo15bo
bbobobbo$71bo3boo25boo3bo15bobo3bobo$71boboboo25boobobo14bo9bo$72b3o
29b3o13bo3bo5bo3bo$73boo29boo13b4o9b4o$71boo33boo9boobobbo7bobboboo$
71bobo31bobo9boobb3o7b3obboo$68b3o37b3o9bobobbo3bobbobo$68bo41bo7bob3o
bbo3bobb3obo$66boobo39boboo5bo4bo7bo4bo$66boo43boo$65bo47bo5bo15bo$65b
obo43bobo5boobo9boboo$65bobo43bobo4bo3boo7boo3bo$66b3o41b3o$118boo4bo
5bo4boo$$67bo43bo9booboo3booboo$115bo5boo3bobo3boo5bo$64bob3o45boboo5b
obo3bobo5boobo$63boobo46boobbo3boobo5boboo3bobboo$62boobbo48boboob6o3b
6oboobo$62b3obo53bobbobo3bobobbo$62bobbo51bobobbo9bobbobo$63boo50b3o3b
o11bo3b3o$115b3obobo11bobob3o$116b3o17b3o$$60b3o54bo19bo$59bo3boo50boo
21boo$58bo55bobbo19bobbo$58bobboboo49bobo21bobo$58bo5bo50b3o19b3o$59bo
3bo62b3o$60bo58bo5bo3bo5bo$61boo52boo3bo4bobobo4bo3boo$113bobbobbooboo
b5obooboobbobbo$113bobbo3bobo9bobo3bobbo$121bo11bo18b3o9b3o$118bo3boo
7boo3bo14bo3bo7bo3bo$117bobobbobo5bobobbobo12bobo3bo5bo3bobo$75boo40bo
3bo11bo3bo12bo3boo7boo3bo$74bobo39bo21bo11b3o3bo5bo3b3o$76bo38b4obboo
9boobb4o9bo3boob3ob3oboo3bo$115b4obbo11bobb4o9boobbo3booboo3bobboo$
119boo13boo12b3o3b5ob5o3b3o$120bo13bo21bo5bo$153bo11bo$119bobo11bobo
12bo4bo11bo4bo$118boo15boo11bo4b4o5b4o4bo$116bobo4bo7bo4bobo13bo4bo3bo
4bo$117bo3bobo7bobo3bo13boob3o5b3oboo$120b3obo5bob3o16boobo3bobo3boboo
$147b3o7booboo7b3o$92b3o24boo4bo3bo4boo10bo3boo4bobobobo4boo3bo$94bo
28b3o3b3o13bo3bo19bo3bo$93bo30boo3boo14bo9b3o3b3o9bo$149bo6boo3boo6bo$
127bo16bo12bo3bo12bo$126bobo15bobboo5bo9bo5boobbo$125booboo15boo8bo7bo
8boo$126bobo14bo12bo5bo12bo$123boo5boo10b3o29b3o$127bo13boobbo27bobboo
$125bo3bo14boo27boo$125booboo14bo29bo$110boo9bo5bo5bo$109bobo10b3ob3ob
3o8bo35bo$111bo30boo31boo$92b3o9b3o33bobbo31bobbo$91bo3bo7bo3bo31bo39b
o$90bobo3bo5bo3bobo16booboo8boo39boo$90bo3boo7boo3bo28b4o37b4o$90b3o3b
o5bo3b3o16bo3bo6bo45bo$89bo3boob3ob3oboo3bo16b3o7b3o41b3o$89boobbo3boo
boo3bobboo15bobobo5bo47bo$88b3o3b5ob5o3b3o26boo41boo$96bo5bo36bo39bo$
93bo11bo19booboo7boo41boo$88bo4bo11bo4bo13bo5bo7bo41bo$88bo4b4o5b4o4bo
13bo12bo43bo$92bo4bo3bo4bo21bo8bo43bo$91boob3o5b3oboo17boobo$91boobo3b
obo3boboo19bo$87b3o7booboo7b3o$86bo3boo4bobobobo4boo3bo17bo$85bo3bo19b
o3bo16bo$85bo9b3o3b3o9bo16bo$89bo6boo3boo6bo25bo$84bo12bo3bo12bo19bobo
$84bobboo5bo9bo5boobbo19bo$85boo8bo7bo8boo9bo9booboo$89bo6bo5bo6bo13bo
10booboo$89boo17boo13bo10boboboo$90bo17bo24bo5bo$99bo38bo$87b3o8bobo8b
3o22bo$86bo6b3obo3bob3o6bo$86boo5bob3o3b3obo5boo$84bo7bo13bo7bo$86b3ob
oboo11boobob3o$92boo11boo16boo$84b3oboobbobbo7bobbobboob3o8boo$91bo4b
oo3boo4bo$89bo19bo48b3o9b3o$91bobo11bobo49bo3bo7bo3bo$94bo9bo51bobo3bo
5bo3bobo$92bo13bo49bo3boo7boo3bo$93bo11bo50b3o3bo5bo3b3o$123bo31bo3boo
b3ob3oboo3bo$123bo31boobbo3booboo3bobboo$84bo11bo26bo30b3o3b5ob5o3b3o$
83b3o9b3o64bo5bo$85bo9bo63bo11bo$81boboo11boobo54bo4bo11bo4bo$81bo4b3o
3b3o4bo54bo4b4o5b4o4bo$80bob3ob3o3b3ob3obo57bo4bo3bo4bo$157boob3o5b3ob
oo$79b3ob4obo3bob4ob3o18boo35boobo3bobo3boboo$79boo7bo3bo7boo18boo31b
3o7booboo7b3o$79b3obboboo5boobobb3o50bo3boo4bobobobo4boo3bo$151bo3bo
19bo3bo$84bobbo5bobbo54bo9b3o3b3o9bo$84bo11bo58bo6boo3boo6bo$82boobbob
o3bobobboo51bo12bo3bo12bo$82bo3b3o3b3o3bo51bobboo5bo9bo5boobbo$80boo4b
obbobobbo4boo50boo8bo7bo8boo$78bobooboboobbobobbooboboobo20bo25bo12bo
5bo12bo$77boobo3bo3bo3bo3bo3boboo19bo24b3o29b3o$76bobo3boo13boo3bobo
18bo23boobbo27bobboo$76boo8bo7bo8boo45boo27boo$77bo7b3o5b3o7bo46bo29bo
$85boobo3boboo$86b3o3b3o52bo13bo11bo9bo$78boo7boo3boo7boo45boo10bobo9b
obo6boo$74bo31bo39bobbo9booboo7booboo5bobbo$73b3o29b3o37bo13bo15bo9bo$
72bobboo7b3o9b3o5boobbo35boo13b3obbo5bobb3o9boo$72bo3boo6bobo9bobo4boo
3bo34b4o10bo7bo3bo7bo6b4o$72boboboo5bobbo9bobbo3boobobo33bo15boobboob
oobooboobboo11bo$73b3o7bob4o5b4obo5b3o34b3o13bobo4bo3bo4bobo9b3o$74boo
5boo4bobo3bobo4boo3boo17boo15bo13b3ob3obboo3boobb3ob3o9bo$72boo8b3oboo
bo3boboob3o6boo15boo17boo10boob4ob3o3b3ob4oboo6boo$72bobo5bo8bo3bo8bo
3bobo36bo10b4o4boo3boo4b4o6bo$69b3o8bobobboobo5boboobbobo6b3o31boo12bo
5boo5boo5bo8boo$69bo9bo3boo4bo3bo4boo3bo7bo32bo16bobbo5bobbo12bo$67boo
bo9bobo5bo5bo5bobo7boboo29bo16b3obo5bob3o12bo$67boo12bo4b3o5b3o4bo10b
oo29bo15bo5booboo5bo11bo$66bo47bo43b3obooboobooboob3o$66bobo16boobo5bo
boo14bobo40booboo15booboo$66bobo14booboobo3bobooboo12bobo39boobooboob
4ob4oboobooboo$67b3o13booboobooboobooboo11b3o50boo3boo$80boo8bobo8boo
20boo30bo23bo$78boo3bob6ob6obo3boo18boo27booboo6bo7bo6booboo$68bo10bob
o3boo9boo3bobo8bo40boo8boo5boo8boo$77boboo3bo13bo3boobo$77bobo6b3o5b3o
6bobo5b3obo48b3ob3o$77boo25boo7boboo34bo31bo$89bo3bo19bobboo32b3o29b3o
$86bo3bobo3bo16bob3o31booboo27booboo$87bobo3bobo18bobbo30b3o33b3o$74b
3o29b3o6boo31boo35boo$74bobbo27bobbo39b3o33b3o$73bo4bo6b3o9b3o4bo4bo
40bo33bo$72boo11bobo9bobo9boo13b3o$73bobobbo5bobbo9bobbo3bobbobo39boo
33boo$84bob4o5b4obo21bo5bo17boobo35boboo$73bobbo5boo4bobo3bobo4boo3bo
bbo12bo5bo17bobbo35bobbo$73bobbo6b3oboobo3boboob3o4bobbo12bo5bo19bo37b
o$71bobo7bo8bo3bo8bo5bobo32boo43boo$70b3o8bobobboobo5boboobbobo6b3o11b
3o16boboo41boobo$72bo7bo3boo4bo3bo4boo3bo5bo32boboo41boobo$68bo12bobo
5bo5bo5bobo10bo27boo47boo$67boboo11bo4b3o5b3o4bo9boobo26boobo43boboo$
67bobo43bobo28b3o41b3o$66boo18boobo5boboo16boo27b3o41b3o$67bo16booboob
o3bobooboo14bo$68b3o13booboobooboobooboo11b3o21boo$69bo11boo8bobo8boo
9bo22boo5boo$79boo3bob6ob6obo3boo35boobo$80bobo3boo9boo3bobo37bo$78bob
oo3bo13bo3boobo5bobo26bobboo$78bobo6b3o5b3o6bobo6booboo26boo$78boo25b
oo7bobobo21bobbo$90bo3bo18boo26boo$87bo3bobo3bo16bobobbo$88bobo3bobo
18bobbo$75b3o29b3o6boo$75bobbo27bobbo$74bo4bo7bo11bo5bo4bo$73boo10boob
oo7booboo8boo$74bobobbo5booboo7booboo3bobbobo$84bo3boo7boo3bo$74bobbo
6b3o13b3o4bobbo$74bobbo9b3obooboob3o7bobbo$72bobo8b3o5booboo5b3o6bobo$
71b3o8bo5boo7boo5bo6b3o$73bo7bo6boobbobobboo6bo5bo$69bo17b3obbobobb3o
15bo$68boboo9bo6bo9bo6bo7boobo$68bobo11boo5bo7bo5boo9bobo$67boo17boobb
oo3boobboo15boo8boo$68bo17b5o5b5o15bo8bobbo$69b3o12bo7bobo7bo10b3o10b
oo$70bo12bobbo3b3ob3o3bobbo10bo$80b3o21b3o23bo$80booboobobbobbobobbobb
obooboo23bo$80b3o6bobbobobbo6b3o6bobo14bo$80b3o7bo5bo7b3o7booboo$78boo
boo6boo5boo6booboo6bobobo$78b4o7boo5boo7b4o5boo$89bo7bo17bobobbobbo$
91bo3bo20bobbo3bo$76b3o12bo3bo12b3o6boo4bo$75bo3bo27bo3bo$74bo3boo8bo
11bo6boo3bo$77bo9b3o9b3o7bo$73bo15bo9bo13bo$74bobo8boboo11boobo6bobo$
76bo8bo4b3o3b3o4bo6bo$75boo7bob3ob3o3b3ob3obo5boo$74b3o33b3o10boo$72b
oobo7b3ob4obo3bob4ob3o5boboo8boo28b3o9b3o$72bobbo7boo7bo3bo7boo5bobbo
38bobo9bobo$71bo11b3obboboo5boobobb3o9bo36bobbo9bobbo$70b3o41b3o35bob
4o5b4obo$69bo18bobbo5bobbo16bo32boo4bobo3bobo4boo$69boboo15bo11bo13boo
bo33b3oboobo3boboob3o$71boo13boobbobo3bobobboo11boo33bo8bo3bo8bo$68bo
bboo13bo3b3o3b3o3bo11boobbo4bo25bobobboobo5boboobbobo$84boo4bobbobobbo
4boo18bo24bo3boo4bo3bo4boo3bo$70bobo9bobooboboobbobobbooboboobo7bobo6b
o25bobo5bo5bo5bobo$71bo9boobo3bo3bo3bo3bo3boboo7bo34bo4b3o5b3o4bo$80bo
bo3boo13boo3bobo$80boo8bo7bo8boo7b3o35boobo5boboo$81bo7b3o5b3o7bo8bob
oo32booboobo3bobooboo$89boobo3boboo15boobo33booboobooboobooboo$90b3o3b
3o16b3o31boo8bobo8boo$82boo7boo3boo7boo8bobo29boo3bob6ob6obo3boo$78bo
31bo5b4o28bobo3boo9boo3bobo$77b3o29b3o6boo26boboo3bo13bo3boobo$76bobb
oo27boobbo33bobo6b3o5b3o6bobo$76bo3boo25boo3bo33boo25boo$76boboboo25b
oobobo45bo3bo$77b3o29b3o43bo3bobo3bo$78boo29boo45bobo3bobo$76boo33boo
30b3o29b3o$76bobo31bobo30bobbo27bobbo$73b3o37b3o26bo4bo25bo4bo$73bo41b
o25boo35boo$71boobo39boboo24bobobbo25bobbobo$71boo43boo$70bo47bo23bobb
o29bobbo$70bobo43bobo23bobbo29bobbo$70bobo43bobo21bobo35bobo$71b3o41b
3o21b3o37b3o$141bo37bo$137bo45bo$72bo43bo19boboo41boobo$136bobo43bobo$
115b3obo15boo47boo$117boboo3boo10bo47bo$117bobboobboo11b3o41b3o$117bob
3o16bo43bo$118bobbo67b3o9b3o$119boo67bo3bo7bo3bo$137bobo47bobo3bo5bo3b
obo$134booboo48bo3boo7boo3bo$133bobobo49b3o3bo5bo3b3o$137boo47bo3boob
3ob3oboo3bo$132bobbobo48boobbo3booboo3bobboo$133bobbo48b3o3b5ob5o3b3o$
134boo57bo5bo$190bo11bo$185bo4bo11bo4bo$185bo4b4o5b4o4bo$189bo4bo3bo4b
o$188boob3o5b3oboo$188boobo3bobo3boboo$184b3o7booboo7b3o$183bo3boo4bob
obobo4boo3bo$182bo3bo19bo3bo$182bo9b3o3b3o9bo$186bo6boo3boo6bo$124b3o
54bo12bo3bo12bo$181bobboo5bo9bo5boobbo$128bo53boo8bo7bo8boo$128bo51bo
12bo5bo12bo$128bo50b3o29b3o$178boobbo27bobboo$124b3o54boo27boo$181bo
29bo$$178bo35bo$179boo31boo$177bobbo31bobbo$176bo39bo$175boo39boo$158b
3o13b4o37b4o$160bo12bo45bo$159bo13b3o41b3o$172bo47bo$174boo41boo$176bo
39bo$174boo23bo11bo5boo$175bo22bobo9bobo4bo$174bo22booboo7booboo4bo$
174bo22bo15bo4bo$197b3obbo5bobb3o$195bo7bo3bo7bo$196boobbooboobooboobb
oo$196bobo4bo3bo4bobo$193b3ob3obboo3boobb3ob3o$193boob4ob3o3b3ob4oboo$
194b4o4boo3boo4b4o$195bo5boo5boo5bo$199bobbo5bobbo$198b3obo5bob3o$197b
o5booboo5bo$196b3obooboobooboob3o$193booboo15booboo$126boo64boobooboob
4ob4oboobooboo$125bobbo73boo3boo$126boo65bo23bo$190booboo6bo7bo6booboo
$191boo8boo5boo8boo$$202b3ob3o$194boo19boo$195boo17boo$192b3o21b3o$
193boo10bo10boo$194bo9b3o9bo$192bobbo3b3obo3bob3o3bobbo$191boboboobobb
obo3bobobboboobobo$191bo13bo13bo$190bo3bo4booboo3booboo4bo3bo$191bobbo
3bo3bobobobo3bo3bobbo$192bobbo7bo3bo7bobbo$196boo15boo$$198b3o9b3o$
198bo13bo$200bo9bo$198bobo9bobo$199bo11bo4$141bo11bo$140bobo9bobo$139b
ooboo7booboo$139bo15bo$139b3obbo5bobb3o$137bo7bo3bo7bo$138boobbooboob
ooboobboo$138bobo4bo3bo4bobo$135b3ob3obboo3boobb3ob3o$135boob4ob3o3b3o
b4oboo$136b4o4boo3boo4b4o$137bo5boo5boo5bo$141bobbo5bobbo$140b3obo5bob
3o$139bo5booboo5bo$138b3obooboobooboob3o$135booboo15booboo$134booboob
oob4ob4oboobooboo$144boo3boo$135bo23bo$132booboo6bo7bo6booboo$133boo8b
oo5boo8boo$$144b3ob3o$136boo19boo$137boo17boo$134b3o21b3o$135boo10bo
10boo$136bo9b3o9bo$134bobbo3b3obo3bob3o3bobbo$133boboboobobbobo3bobobb
oboobobo$133bo13bo13bo$132bo3bo4booboo3booboo4bo3bo$133bobbo3bo3bobobo
bo3bo3bobbo$134bobbo7bo3bo7bobbo$138boo15boo$$140b3o9b3o$140bo13bo43bo
11bo$142bo9bo44b3o9b3o$140bobo9bobo41bobboo7boobbo$141bo11bo41bo3bobo
5bobo3bo$194boobooboo5boobooboo$194b4o3bo5bo3b4o$194bo3b4obobob4o3bo$
198bo11bo$193bobo3boobbobobboo3bobo$194bo4bobo5bobo4bo$$197boobo7boboo
$197b5o5b5o$196boo4bo3bo4boo$199b4o3b4o$193bob3obobobobobobob3obo$192b
3obbo5bobo5bobb3o$124b3o64boobbo7bobo7bobboo$190boo3bo4bo7bo4bo3boo$
128bo71bobo3bobo$128bo71bobbobobbo$128bo64bo7boo3boo7bo$189boboo23boob
o$124b3o62b4o7bo7bo7b4o$187boobo27boboo$186bobbo29bobbo$186boobbo27bo
bboo$188b3o27b3o$189boo27boo$$187bo33bo$186b3o31b3o$187boo31boo$149bo
33b3o37b3o$149bobo30bo43bo$149boo31bobbo37bobbo$181bo45bo$180b3o43b3o
$$183bo41bo$184bo39bo$182b3o39b3o$183bo41bo$182boo41boo11$126boo$125bo
bbo$90bo11bo23boo$88booboo7booboo$88booboo7booboo$87bo3boo7boo3bo$87b
3o13b3o$90b3obooboob3o$86b3o5booboo5b3o$85bo5boo7boo5bo$84bo6boobbobo
bboo6bo$90b3obbobobb3o$84bo6bo9bo6bo$85boo5bo7bo5boo$89boobboo3boobboo
$89b5o5b5o$87bo7bobo7bo$86bobbo3b3ob3o3bobbo$83b3o21b3o$83booboobobbo
bbobobbobbobooboo$83b3o6bobbobobbo6b3o$83b3o7bo5bo7b3o42bo11bo$81boob
oo6boo5boo6booboo39b3o9b3o$81b4o7boo5boo7b4o41bo9bo$92bo7bo48boboo11b
oobo$94bo3bo50bo4b3o3b3o4bo$79b3o12bo3bo12b3o34bob3ob3o3b3ob3obo$78bo
3bo27bo3bo$77bo3boo5b3o9b3o7boo3bo31b3ob4obo3bob4ob3o$80bo7bobo9bobo9b
o34boo7bo3bo7boo$76bo10bobbo9bobbo12bo30b3obboboo5boobobb3o$77bobo7bob
4o5b4obo9bobo$79bo5boo4bobo3bobo4boo7bo38bobbo5bobbo$78boo6b3oboobo3bo
boob3o8boo37bo11bo$77b3o4bo8bo3bo8bo6b3o34boobbobo3bobobboo$75boobo5bo
bobboobo5boboobbobo7boboo32bo3b3o3b3o3bo$75bobbo4bo3boo4bo3bo4boo3bo6b
obbo30boo4bobbobobbo4boo$74bo9bobo5bo5bo5bobo11bo27bobooboboobbobobboo
boboobo$73b3o9bo4b3o5b3o4bo11b3o25boobo3bo3bo3bo3bo3boboo$72bo47bo23bo
bo3boo13boo3bobo$72boboo13boobo5boboo15boobo23boo8bo7bo8boo$74boo11boo
boobo3bobooboo13boo26bo7b3o5b3o7bo$71bobboo11booboobooboobooboo13boobb
o31boobo3boboo$84boo8bobo8boo47b3o3b3o$73bobo6boo3bob6ob6obo3boo8bobo
26boo7boo3boo7boo$74bo8bobo3boo9boo3bobo10bo23bo31bo$81boboo3bo13bo3b
oobo31b3o29b3o$81bobo6b3o5b3o6bobo30bobboo27boobbo$81boo25boo30bo3boo
25boo3bo$93bo3bo42boboboo25boobobo$90bo3bobo3bo40b3o29b3o$91bobo3bobo
42boo29boo$78b3o29b3o27boo33boo$78bobbo27bobbo27bobo31bobo$77bo4bo25bo
4bo23b3o37b3o$76boo35boo22bo41bo$77bobobbo25bobbobo21boobo39boboo$135b
oo43boo$77bobbo29bobbo20bo47bo$77bobbo29bobbo20bobo43bobo$75bobo35bobo
18bobo43bobo$74b3o37b3o18b3o41b3o$76bo37bo$72bo45bo$71boboo41boobo16bo
43bo$71bobo43bobo$70boo47boo12bob3o$71bo47bo12boobo$72b3o41b3o12boobbo
$73bo43bo13b3obo$131bobbo$132boo$116bobo$117booboo$118bobobo$117boo$
118bobobbo$119bobbo$120boo3$133b3o$135bo$134bo48$203b3o$205bo$204bo!

The reaction is a bit ugly since it produces a beehive which requires a glider turning convoy to be used to delete it.

Hitting the slightly dirty puffer with the output of a rake is a way to period multiply some rake periods, as shown above. There are probably other examples to be found.

Finally, this last rake is just a smaller version of a known period.

Code: Select all

#C An orthogonal 3c/7 period 126 forward glider rake.
#C This is created by perturbing a puffer by Dylan Chen.
#C David I. Bell, 1 November 2026
x = 138, y = 259, rule = B3/S23
63bo7bo$62b3o5b3o$61bobboo3boobbo$60boob9oboo$61boboo5boobo$60b3oboo3b
oob3o$60b3o4bo4b3o$63bo7bo$60bobbo7bobbo$59bobo11bobo$60boobo7boboo$
62boo7boo$63bo7bo$62bobo5bobo$61bo3bo3bo3bo$61bobbo5bobbo$61bobboo3boo
bbo$61booboo3booboo$62bo9bo$61bo11bo$59bobo11bobo$58boobobbo5bobboboo$
57bobo15bobo$56bo6boo5boo6bo$57boobobobbo3bobboboboo$58bobobobo5bobobo
bo$60b3o9b3o$59bobo11bobo$58bo3bo9bo3bo$58bo4bo7bo4bo$64bo5bo$58b3obbo
7bobb3o$63bo7bo$63bobo3bobo$61bobobooboobobo$54b4o3bo4bobo4bo3b4o$53bo
bboo6boo3boo6boobbo$60bo4bo3bo4bo$53booboboboo11booboboboo$55bo23bo$
57b4obo9bob4o$59bobbo9bobbo$61bo11bo$57bobo15bobo$55boo21boo$$55bobo
19bobo$54bobbo19bobbo$54bobbo19bobbo$55b3o8b3o8b3o$55b3o8b3o8b3o$55boo
8bo3bo8boo$55b3ob5obo3bob5ob3o$56b3o6bo3bo6b3o$58boo5b5o5boo$59bo4bobb
obbo4bo$60bobbo7bobbo$56bo4bobo7bobo4bo$28b3o9b3o13bobo17bobo13b3o9b3o
$27bo3bo7bo3bo12bobooboo9booboobo12bo3bo7bo3bo$26bobo3bo5bo3bobo15bobb
o7bobbo15bobo3bo5bo3bobo$26bo3boo7boo3bo11bo21bo11bo3boo7boo3bo$26b3o
3bo5bo3b3o11b3o3bo9bo3b3o11b3o3bo5bo3b3o$25bo3boob3ob3oboo3bo11bo19bo
11bo3boob3ob3oboo3bo$25boobbo3booboo3bobboo12bobbo11bobbo12boobbo3boob
oo3bobboo$24b3o3b5ob5o3b3o10bo3bo11bo3bo10b3o3b5ob5o3b3o$32bo5bo18bo3b
o11bo3bo18bo5bo$29bo11bo20boo7boo20bo11bo$24bo4bo11bo4bo11bo5bo5bo5bo
11bo4bo11bo4bo$24bo4b4o5b4o4bo12bo3boo5boo3bo12bo4b4o5b4o4bo$28bo4bo3b
o4bo17b3o9b3o17bo4bo3bo4bo$27boob3o5b3oboo47boob3o5b3oboo$27boobo3bobo
3boboo21booboo21boobo3bobo3boboo$23b3o7booboo7b3o16bo5bo16b3o7booboo7b
3o$22bo3boo4bobobobo4boo3bo37bo3boo4bobobobo4boo3bo$21bo3bo19bo3bo16b
3o16bo3bo19bo3bo$21bo9b3o3b3o9bo15bo3bo15bo9b3o3b3o9bo$25bo6boo3boo6bo
18bo5bo18bo6boo3boo6bo$20bo12bo3bo12bo15bobo15bo12bo3bo12bo$20bobboo5b
o9bo5boobbo14bobobo14bobboo5bo9bo5boobbo$21boo8bo7bo8boo16bobo16boo8bo
7bo8boo$19bo12bo5bo12bo12booboboo12bo12bo5bo12bo$18b3o29b3o10bobobobob
o10b3o29b3o$17boobbo27bobboo8bobo5bobo8boobbo27bobboo$20boo27boo15b3o
15boo27boo$20bo29bo11boobb3obboo11bo29bo$$17bo35bo27bo35bo$18boo31boo
29boo31boo$16bobbo31bobbo10booboo10bobbo31bobbo$15bo39bo23bo39bo$14boo
39boo7boo3boo7boo39boo$13b4o37b4o6boo3boo6b4o37b4o$12bo45bo4boo5boo4bo
45bo$12b3o41b3o5boo3boo5b3o41b3o$11bo47bo15bo47bo$13boo7bo11bo21boo19b
oo21bo11bo7boo$15bo5b3o9b3o19bo23bo19b3o9b3o5bo$13boo8bo9bo22boo6bo5bo
6boo22bo9bo8boo$14bo4boboo11boobo18bo7bo5bo7bo18boboo11boobo4bo$13bo5b
o4b3o3b3o4bo19bo5bobo3bobo5bo19bo4b3o3b3o4bo5bo$13bo4bob3ob3o3b3ob3obo
18bo3bo11bo3bo18bob3ob3o3b3ob3obo4bo$61bobo7bobo$17b3ob4obo3bob4ob3o
21bo11bo21b3ob4obo3bob4ob3o$17boo7bo3bo7boo23bobo3bobo23boo7bo3bo7boo$
17b3obboboo5boobobb3o24bo5bo24b3obboboo5boobobb3o$64bo5bo$22bobbo5bobb
o65bobbo5bobbo$22bo11bo65bo11bo$20boobbobo3bobobboo61boobbobo3bobobboo
$20bo3b3o3b3o3bo61bo3b3o3b3o3bo$18boo4bobbobobbo4boo57boo4bobbobobbo4b
oo$16bobooboboobbobobbooboboobo22boo5boo22bobooboboobbobobbooboboobo$
15boobo3bo3bo3bo3bo3boboo21bobo3bobo21boobo3bo3bo3bo3bo3boboo$14bobo3b
oo13boo3bobo21bo5bo21bobo3boo13boo3bobo$14boo8bo7bo8boo49boo8bo7bo8boo
$15bo7b3o5b3o7bo51bo7b3o5b3o7bo$23boobo3boboo67boobo3boboo$24b3o3b3o
69b3o3b3o$16boo7boo3boo7boo53boo7boo3boo7boo$12bo31bo45bo31bo$11b3o29b
3o43b3o29b3o$10bobboo27boobbo41bobboo27boobbo$10bo3boo25boo3bo41bo3boo
25boo3bo$10boboboo25boobobo41boboboo25boobobo$11b3o5bo11bo11b3o43b3o
10b3o9b3o4b3o$12boo4bobo9bobo10boo45boo10bobo9bobo4boo$10boo5booboo7b
ooboo11boo41boo11bobbo9bobbo5boo$10bobo4bo15bo10bobo41bobo10bob4o5b4ob
o4bobo$7b3o7b3obbo5bobb3o13b3o35b3o11boo4bobo3bobo4boo5b3o$7bo7bo7bo3b
o7bo13bo35bo14b3oboobo3boboob3o8bo$5boobo7boobbooboobooboobboo13boboo
31boobo11bo8bo3bo8bo5boboo$5boo9bobo4bo3bo4bobo15boo31boo13bobobboobo
5boboobbobo7boo$4bo8b3ob3obboo3boobb3ob3o14bo29bo14bo3boo4bo3bo4boo3bo
8bo$4bobo6boob4ob3o3b3ob4oboo12bobo29bobo13bobo5bo5bo5bobo7bobo$4bobo
7b4o4boo3boo4b4o13bobo29bobo14bo4b3o5b3o4bo8bobo$5b3o7bo5boo5boo5bo13b
3o31b3o41b3o$19bobbo5bobbo71boobo5boboo$18b3obo5bob3o68booboobo3boboob
oo$6bo10bo5booboo5bo16bo33bo16booboobooboobooboo10bo$16b3obooboobooboo
b3o63boo8bobo8boo$13booboo15booboo58boo3bob6ob6obo3boo$12boobooboob4ob
4oboobooboo58bobo3boo9boo3bobo$22boo3boo66boboo3bo13bo3boobo$13bo23bo
57bobo6b3o5b3o6bobo$10booboo6bo7bo6booboo54boo25boo$11boo8boo5boo8boo
19boo13boo31bo3bo$59boo13boo28bo3bobo3bo$22b3ob3o76bobo3bobo$9bo31bo
50b3o29b3o$8b3o29b3o49bobbo27bobbo$7booboo27booboo47bo4bo25bo4bo$6b3o
33b3o45boo35boo$6boo35boo46bobobbo25bobbobo$6b3o33b3o$8bo33bo48bobbo
29bobbo$22b3o9b3o54bobbo29bobbo$7boo12bo3bo7bo3bo4boo45bobo35bobo$4boo
bo12bobo3bo5bo3bobo4boboo41b3o37b3o$4bobbo12bo3boo7boo3bo4bobbo43bo37b
o$6bo13b3o3bo5bo3b3o5bo41bo45bo$bboo15bo3boob3ob3oboo3bo7boo36boboo41b
oobo$boboo14boobbo3booboo3bobboo6boobo35bobo43bobo$boboo13b3o3b5ob5o3b
3o5boobo34boo47boo$oo24bo5bo16boo34bo47bo$oobo19bo11bo11boboo35b3o41b
3o$bb3o13bo4bo11bo4bo5b3o38bo43bo$bb3o13bo4b4o5b4o4bo5b3o$22bo4bo3bo4b
o18bo23bo$21boob3o5b3oboo17bo23bo6bobo$21boobo3bobo3boboo10boo5bo23bo
3booboo$17b3o7booboo7b3o6boboo30bobobo$16bo3boo4bobobobo4boo3bo7bo35b
oo$15bo3bo19bo3bo3boobbo29bobbobo$15bo9b3o3b3o9bo3boo33bobbo$19bo6boo
3boo6bo9bobbo30boo$14bo12bo3bo12bo5boo$14bobboo5bo9bo5boobbo$15boo8bo
7bo8boo$13bo12bo5bo12bo$12b3o29b3o$11boobbo27bobboo$14boo27boo$14bo29b
o$$11bo35bo$12boo31boo$10bobbo31bobbo$9bo39bo$8boo39boo$7b4o37b4o$6bo
45bo$6b3o41b3o$5bo47bo$7boo41boo$9bo39bo$7boo41boo$8bo41bo$7bo43bo52b
oo$7bo43bo51bobo$52boo5boo13boo29bo$52boboo3boo13boo$55bo$54boo$50bo3b
o$51bo$52bobbo$55bo$38bo11bo$37b3o9b3o$39bo9bo$35boboo11boobo$35bo4b3o
3b3o4bo$34bob3ob3o3b3ob3obo$$33b3ob4obo3bob4ob3o$33boo7bo3bo7boo$33b3o
bboboo5boobobb3o$$38bobbo5bobbo$38bo11bo$36boobbobo3bobobboo82b3o$36bo
3b3o3b3o3bo84bo$34boo4bobbobobbo4boo81bo$32bobooboboobbobobbooboboobo$
31boobo3bo3bo3bo3bo3boboo$30bobo3boo13boo3bobo$30boo8bo7bo8boo$31bo7b
3o5b3o7bo$39boobo3boboo$40b3o3b3o$32boo7boo3boo7boo$28bo31bo$27b3o29b
3o$26bobboo27boobbo$26bo3boo25boo3bo$26boboboo25boobobo$27b3o29b3o$28b
oo29boo$26boo33boo$26bobo31bobo$23b3o37b3o$23bo41bo$21boobo39boboo$21b
oo43boo$20bo47bo$20bobo43bobo$20bobo43bobo$21b3o41b3o3$22bo43bo$$65b3o
bo$67boboo3boo$67bobboobboo$67bob3o$68bobbo$69boo!

EDIT:

Here is an additional new period rake.

Code: Select all

#C An orthogonal 3c/7 period 105 forward glider rake.
#C This is created by perturbing a puffer by Dylan Chen.
#C David I. Bell, 1 November 2026
x = 151, y = 241, rule = B3/S23
59bo7bo$57booboo3booboo$57booboo3booboo$60boo3boo$56bo5b3o5bo$56bo13bo
$57bo11bo$58boo7boo$55bobobobo3bobobobo$55boboboo5boobobo$55bobo11bobo
$$60bo5bo$59boo5boo$57boo9boo$57bo3bo3bo3bo$59bobbobobbo$59bobo3bobo$
58bo9bo$56bo3bo5bo3bo$55b4o9b4o$53boobobbo7bobboboo$53boobb3o7b3obboo$
56bobobbo3bobbobo$54bob3obbo3bobb3obo$54bo4bo7bo4bo$$55bo15bo$55boobo
9boboo$54bo3boo7boo3bo$$54boo4bo5bo4boo$$57booboo3booboo$51bo5boo3bobo
3boo5bo$50boboo5bobo3bobo5boobo$49boobbo3boobo5boboo3bobboo$51boboob6o
3b6oboobo$56bobbobo3bobobbo$53bobobbo9bobbobo$51b3o3bo11bo3b3o$51b3obo
bo11bobob3o$52b3o17b3o$$53bo19bo$51boo21boo$20b3o9b3o15bobbo19bobbo$
20bobo9bobo15bobo21bobo$19bobbo9bobbo15b3o19b3o$19bob4o5b4obo26b3o$17b
oo4bobo3bobo4boo17bo5bo3bo5bo$18b3oboobo3boboob3o14boo3bo4bobobo4bo3b
oo$16bo8bo3bo8bo10bobbobbooboob5obooboobbobbo$16bobobboobo5boboobbobo
10bobbo3bobo9bobo3bobbo$15bo3boo4bo3bo4boo3bo17bo11bo$16bobo5bo5bo5bob
o15bo3boo7boo3bo$17bo4b3o5b3o4bo15bobobbobo5bobobbobo$53bo3bo11bo3bo$
21boobo5boboo18bo21bo24bo11bo$19booboobo3bobooboo15b4obboo9boobb4o22bo
bo9bobo$19booboobooboobooboo15b4obbo11bobb4o21booboo7booboo$16boo8bobo
8boo16boo13boo25bo15bo$14boo3bob6ob6obo3boo15bo13bo26b3obbo5bobb3o$15b
obo3boo9boo3bobo55bo7bo3bo7bo$13boboo3bo13bo3boobo13bobo11bobo24boobb
ooboobooboobboo$13bobo6b3o5b3o6bobo12boo15boo23bobo4bo3bo4bobo$13boo
25boo10bobo4bo7bo4bobo18b3ob3obboo3boobb3ob3o$25bo3bo23bo3bobo7bobo3bo
19boob4ob3o3b3ob4oboo$22bo3bobo3bo23b3obo5bob3o23b4o4boo3boo4b4o$23bob
o3bobo63bo5boo5boo5bo$10b3o29b3o10boo4bo3bo4boo27bobbo5bobbo$10bobbo
27bobbo14b3o3b3o30b3obo5bob3o$9bo4bo25bo4bo14boo3boo30bo5booboo5bo$8b
oo35boo49b3obooboobooboob3o$9bobobbo25bobbobo17bo29booboo15booboo$62bo
bo27boobooboob4ob4oboobooboo$9bobbo29bobbo15booboo36boo3boo$9bobbo29bo
bbo16bobo28bo23bo$7bobo35bobo11boo5boo22booboo6bo7bo6booboo$6b3o37b3o
14bo27boo8boo5boo8boo$8bo37bo14bo3bo$4bo45bo10booboo36b3ob3o$3boboo41b
oobo5bo5bo5bo19bo31bo$3bobo43bobo6b3ob3ob3o19b3o29b3o$bboo47boo34boob
oo27booboo$3bo47bo34b3o33b3o$4b3o41b3o35boo35boo$5bo43bo11booboo20b3o
33b3o$88bo33bo$61bo3bo36b3o9b3o$48bobo11b3o22boo12bo3bo7bo3bo4boo$49b
ooboo6booboboo17boobo12bobo3bo5bo3bobo4boboo$50bobobo5b3ob3o17bobbo12b
o3boo7boo3bo4bobbo$49boo8boo5boo18bo13b3o3bo5bo3b3o5bo$50bobobbo3b3o3b
3o14boo15bo3boob3ob3oboo3bo7boo$51bobbo4boobbobboo13boboo14boobbo3boob
oo3bobboo6boobo$52boo8boobo15boboo13b3o3b5ob5o3b3o5boobo$59bo7bo12boo
24bo5bo16boo$61bobobobo12boobo19bo11bo11boboo$61boobo3bo13b3o13bo4bo
11bo4bo5b3o$62b3o17b3o13bo4b4o5b4o4bo5b3o$60boo3bobbo33bo4bo3bo4bo$60b
oobbo3bo32boob3o5b3oboo$63bo3bo13boo18boobo3bobo3boboo$63bo15boobo14b
3o7booboo7b3o$63boboo13bo15bo3boo4bobobobo4boo3bo$66boboo9bobboo11bo3b
o19bo3bo$56boo7booboo12boo11bo9b3o3b3o9bo$56boo8boo3bo6bobbo17bo6boo3b
oo6bo$61boo3bo3bobo6boo13bo12bo3bo12bo$61boo3bo3boo22bobboo5bo9bo5boo
bbo$95boo8bo7bo8boo$93bo12bo5bo12bo$92b3o29b3o$91boobbo27bobboo$94boo
27boo$18bo11bo63bo29bo$17b3o9b3o$19bo9bo29boo30bo35bo$15boboo11boobo
25boo31boo31boo$15bo4b3o3b3o4bo56bobbo31bobbo$14bob3ob3o3b3ob3obo54bo
39bo$88boo39boo$13b3ob4obo3bob4ob3o51b4o37b4o$13boo7bo3bo7boo50bo45bo$
13b3obboboo5boobobb3o50b3o41b3o$45boobboo34bo47bo$18bobbo5bobbo14b7o
35boo41boo$18bo11bo14boboob3o25b3o8bo39bo$16boobbobo3bobobboo11bo6boo
7boo25boo41boo$16bo3b3o3b3o3bo12bo14boo26bo41bo$14boo4bobbobobbo4boo
13bo38bo43bo$12bobooboboobbobobbooboboobo10bo39bo43bo$11boobo3bo3bo3bo
3bo3boboo47boo$10bobo3boo13boo3bobo44boobo$10boo8bo7bo8boo44bo$11bo7b
3o5b3o7bo34boo9boo$19boobo3boboo42boo10bo3bo$20b3o3b3o28boo3boo23bo$
12boo7boo3boo7boo19bobboob3o18bobbo$8bo31bo14bo4bobobbo17bo$7b3o29b3o
21boo$6bobboo27boobbo13b3o4bo$6bo3boo25boo3bo18bo$6boboboo25boobobo18b
o$7b3o29b3o$8boo29boo$6boo33boo$6bobo31bobo$3b3o17bo11bo7b3o11bo$3bo
17booboo7booboo7bo10boo$boobo16booboo7booboo6boboo8boboboo$boo17bo3boo
7boo3bo7boo9bo3boo$o19b3o13b3o9bo11bobo$obo20b3obooboob3o10bobo12bo$ob
o16b3o5booboo5b3o6bobo$b3o14bo5boo7boo5bo4b3o48boo$17bo6boobbobobboo6b
o53bobo$23b3obbobobb3o61bo$bbo14bo6bo9bo6bo4bo$18boo5bo7bo5boo$22boobb
oo3boobboo$22b5o5b5o$20bo7bobo7bo20boo$19bobbo3b3ob3o3bobbo19boo$16b3o
21b3o$16booboobobbobbobobbobbobooboo$16b3o6bobbobobbo6b3o$16b3o7bo5bo
7b3o$14booboo6boo5boo6booboo$14b4o7boo5boo7b4o$25bo7bo$27bo3bo$12b3o
12bo3bo12b3o$11bo3bo27bo3bo12boo$10bo3boo7b3o9b3o5boo3bo11boo60boo$13b
o8bo3bo7bo3bo6bo77boo$9bo11bobo3bo5bo3bobo9bo72bo$10bobo8bo3boo7boo3bo
6bobo$12bo8b3o3bo5bo3b3o6bo19b3o$11boo7bo3boob3ob3oboo3bo5boo$10b3o7b
oobbo3booboo3bobboo5b3o$8boobo7b3o3b5ob5o3b3o5boboo$8bobbo15bo5bo13bo
bbo$7bo16bo11bo14bo$6b3o10bo4bo11bo4bo8b3o$5bo13bo4b4o5b4o4bo11bo$5bob
oo14bo4bo3bo4bo12boobo$7boo13boob3o5b3oboo11boo$4bobboo13boobo3bobo3bo
boo11boobbo$18b3o7booboo7b3o$6bobo8bo3boo4bobobobo4boo3bo6bobo$7bo8bo
3bo19bo3bo6bo$16bo9b3o3b3o9bo$20bo6boo3boo6bo11b3o93b3o$15bo12bo3bo12b
o6boboo94bo$15bobboo5bo9bo5boobbo5boobo94bo$16boo8bo7bo8boo6b3o$14bo
12bo5bo12bo4bobo22bo11bo$13b3o29b3o4b4o19bobo9bobo$12boobbo27bobboo5b
oo18booboo7booboo$15boo27boo28bo15bo$15bo29bo28b3obbo5bobb3o$72bo7bo3b
o7bo$12bo35bo24boobbooboobooboobboo$13boo31boo25bobo4bo3bo4bobo$11bobb
o31bobbo20b3ob3obboo3boobb3ob3o$10bo39bo19boob4ob3o3b3ob4oboo$9boo39b
oo19b4o4boo3boo4b4o$8b4o37b4o19bo5boo5boo5bo$7bo45bo22bobbo5bobbo$7b3o
41b3o21b3obo5bob3o$6bo47bo19bo5booboo5bo$8boo41boo20b3obooboobooboob3o
$10bo39bo19booboo15booboo$8boo41boo16boobooboob4ob4oboobooboo$9bo41bo
27boo3boo$8bo43bo17bo23bo$8bo43bo14booboo6bo7bo6booboo$53boo5boo6boo8b
oo5boo8boo$53boboo3boo$56bo22b3ob3o$55boo9bo31bo$51bo3bo9b3o29b3o$52bo
11booboo27booboo$53bobbo6b3o33b3o$56bo6boo35boo$63b3o33b3o$65bo33bo$$
64boo33boo$61boobo35boboo$61bobbo35bobbo$63bo37bo$59boo43boo$58boboo
41boobo$58boboo41boobo$57boo47boo$57boobo43boboo$59b3o41b3o$59b3o41b3o
!

BCNU,
-dbell

[Sokwe]

Here are several new orthogonal 3c/7 period rakes to turn their slots from red to green in the new 3c/7 spaceship status section.

Nice! Applying your p21 filter to the p91 rake also gives p273:

Code: Select all

x = 198, y = 356, rule = B3/S23
54bo7bo$53bobo5bobo$52b2ob2o3b2ob2o$53bobo5bobo$51bob2o3bo3b2obo$51b7o
b7o$55b7o$54bob2ob2obo$51b2obo7bob2o$50b3ob2o5b2ob3o$49bo17bo$52bob2o
5b2obo2$56bo3bo$51bob3o5b3obo$52bob3o3b3obo$56bo3bo$55b2o3b2o$54b2o5b
2o$53b3o5b3o$50b4o9b4o$49bo17bo$48b2o3b2o7b2o3b2o$49bobobobo5bobobobo$
49b3o2b3o3b3o2b3o$54bo7bo$49bo17bo2$49bobobo9bobobo$51b3o9b3o$48bob3o
2bo5bo2b3obo$49b2ob3o7b3ob2o$53b2o7b2o$53bob2o3b2obo$53bo3bobo3bo$45b
3o5bo3bobo3bo5b3o$45bob2o6bo5bo6b2obo$45bo2bo3b2ob2o3b2ob2o3bo2bo$48bo
2b2o3bo3bo3b2o2bo$52bo2bo5bo2bo$47bobobobo9bobobobo$45b2obo19bob2o$51b
o13bo$48b2o17b2o2$47bo21bo$46b2o21b2o$45b3o21b3o2$48b2o8bo8b2o$51bo5b
3o5bo$46bo4bo3b2obob2o3bo4bo$44b4obobobo9bobobob4o$45b2o5b2o3bobo3b2o
5b2o$19b3o9b3o18bo11bo18b3o9b3o$18bo3bo7bo3bo18b3o5b3o18bo3bo7bo3bo$
17bobo3bo5bo3bobo12b3o15b3o12bobo3bo5bo3bobo$17bo3b2o7b2o3bo12b2o2bo2b
o5bo2bo2b2o12bo3b2o7b2o3bo$17b3o3bo5bo3b3o15b2o11b2o15b3o3bo5bo3b3o$
16bo3b2ob3ob3ob2o3bo9b2ob4obo7bob4ob2o9bo3b2ob3ob3ob2o3bo$16b2o2bo3b2o
b2o3bo2b2o9bo2bo17bo2bo9b2o2bo3b2ob2o3bo2b2o$15b3o3b5ob5o3b3o12b2o13b
2o12b3o3b5ob5o3b3o$23bo5bo22bo11bo22bo5bo$20bo11bo51bo11bo$15bo4bo11bo
4bo14bo11bo14bo4bo11bo4bo$15bo4b4o5b4o4bo9bob4o11b4obo9bo4b4o5b4o4bo$
19bo4bo3bo4bo13bobo2b2o9b2o2bobo13bo4bo3bo4bo$18b2ob3o5b3ob2o13bo3b3o
7b3o3bo13b2ob3o5b3ob2o$18b2obo3bobo3bob2o20bo5bo20b2obo3bobo3bob2o$14b
3o7b2ob2o7b3o11b2o3bo5bo3b2o11b3o7b2ob2o7b3o$13bo3b2o4bobobobo4b2o3bo
37bo3b2o4bobobobo4b2o3bo$12bo3bo19bo3bo9bo2b4o3b4o2bo9bo3bo19bo3bo$12b
o9b3o3b3o9bo9bo4bo5bo4bo9bo9b3o3b3o9bo$16bo6b2o3b2o6bo43bo6b2o3b2o6bo$
11bo12bo3bo12bo33bo12bo3bo12bo$11bo2b2o5bo9bo5b2o2bo15b3o15bo2b2o5bo9b
o5b2o2bo$12b2o8bo7bo8b2o16bobo16b2o8bo7bo8b2o$10bo12bo5bo12bo14bobo14b
o12bo5bo12bo$9b3o29b3o11bobobobo11b3o29b3o$8b2o2bo27bo2b2o9b2o5b2o9b2o
2bo27bo2b2o$11b2o27b2o12b2o2bo2b2o12b2o27b2o$11bo29bo11b3o5b3o11bo29bo
$53b2o2b3o2b2o$8bo35bo8b2o7b2o8bo35bo$9b2o31b2o12bo3bo12b2o31b2o$7bo2b
o11bo11bo7bo2bo25bo2bo7bo11bo11bo2bo$6bo14b3o9b3o10bo6bo3bobo3bo6bo10b
3o9b3o14bo$5b2o13bo2b2o7b2o2bo9b2o6bo7bo6b2o9bo2b2o7b2o2bo13b2o$4b4o
11bo3bobo5bobo3bo7b4o7b2ob2o7b4o7bo3bobo5bobo3bo11b4o$3bo14b2ob2ob2o5b
2ob2ob2o10bo8bo8bo10b2ob2ob2o5b2ob2ob2o14bo$3b3o12b4o3bo5bo3b4o8b3o17b
3o8b4o3bo5bo3b4o12b3o$2bo15bo3b4obobob4o3bo11bo4bo5bo4bo11bo3b4obobob
4o3bo15bo$4b2o16bo11bo12b2o6bo5bo6b2o12bo11bo16b2o$6bo10bobo3b2o2bobo
2b2o3bobo6bo23bo6bobo3b2o2bobo2b2o3bobo10bo$4b2o12bo4bobo5bobo4bo8b2o
19b2o8bo4bobo5bobo4bo12b2o$5bo41bo7bo5bo7bo41bo$4bo16b2obo7bob2o12bo6b
o5bo6bo12b2obo7bob2o16bo$4bo16b5o5b5o12bo6bobobobo6bo12b5o5b5o16bo$20b
2o4bo3bo4b2o20b3o20b2o4bo3bo4b2o$23b4o3b4o49b4o3b4o$17bob3obobobobobob
ob3obo37bob3obobobobobobob3obo$16b3o2bo5bobo5bo2b3o35b3o2bo5bobo5bo2b
3o$15b2o2bo7bobo7bo2b2o33b2o2bo7bobo7bo2b2o$14b2o3bo4bo7bo4bo3b2o10bo
9bo10b2o3bo4bo7bo4bo3b2o$24bobo3bobo20b4o3b4o20bobo3bobo$24bo2bobo2bo
19bo2b2o3b2o2bo19bo2bobo2bo$17bo7b2o3b2o7bo14bo7bo14bo7b2o3b2o7bo$13bo
b2o23b2obo8b2o9b2o8bob2o23b2obo$14b4o6bo7bo6b4o10b2o7b2o10b4o6bo7bo6b
4o$18b2o17b2o14bo9bo14b2o17b2o$18b2o17b2o39b2o17b2o$18b2o17b2o39b2o17b
2o$17b2o9bo9b2o37b2o9bo9b2o$16b2o5bo3b3o3bo5b2o35b2o5bo3b3o3bo5b2o$15b
o6bobob2ob2obobo6bo33bo6bobob2ob2obobo6bo$14b3o4b2obobo3bobob2o4b3o9bo
11bo9b3o4b2obobo3bobob2o4b3o$14bo2bo2b2obobo5bobob2o2bo2bo9b2o9b2o9bo
2bo2b2obobo5bobob2o2bo2bo$16bo23bo12b2o7b2o12bo23bo$23bo9bo19bo9bo19bo
9bo$14bo5b3o2bo5bo2b3o5bo2b3o3bobo9bobo3b3o2bo5b3o2bo5bo2b3o5bo$14bo2b
3o5bo5bo5b3o2b3o6b2o11b2o6b3o2b3o5bo5bo5b3o2bo$19bobo13bobo6bo27bo6bob
o13bobo$44bo27bo$21b2o11b2o9bobo2b3o11b3o2bobo9b2o11b2o$22bo11bo11bo3b
3o11b3o3bo11bo11bo3$19bo11bo$18bobo9bobo$17b2ob2o7b2ob2o$17bo15bo$17b
3o2bo5bo2b3o$15bo7bo3bo7bo$16b2o2b2ob2ob2ob2o2b2o$16bobo4bo3bo4bobo23b
o$13b3ob3o2b2o3b2o2b3ob3o20bo$13b2ob4ob3o3b3ob4ob2o20bo$14b4o4b2o3b2o
4b4o$15bo5b2o5b2o5bo18b3o3b3o$19bo2bo5bo2bo$18b3obo5bob3o25bo$17bo5b2o
b2o5bo24bo$16b3ob2ob2ob2ob2ob3o23bo$13b2ob2o15b2ob2o$12b2ob2ob2ob4ob4o
b2ob2ob2o$22b2o3b2o$13bo23bo$10b2ob2o6bo7bo6b2ob2o$11b2o8b2o5b2o8b2o2$
22b3ob3o56bo11bo$9bo31bo41b2ob2o7b2ob2o$8b3o29b3o40b2ob2o7b2ob2o$7b2ob
2o27b2ob2o38bo3b2o7b2o3bo$6b3o33b3o37b3o13b3o$6b2o35b2o40b3ob2ob2ob3o$
6b3o33b3o36b3o5b2ob2o5b3o$8bo12b3o9b3o6bo37bo5b2o7b2o5bo$20bo3bo7bo3bo
42bo6b2o2bobo2b2o6bo$7b2o10bobo3bo5bo3bobo4b2o41b3o2bobo2b3o$4b2obo11b
o3b2o7b2o3bo5bob2o32bo6bo9bo6bo$4bo2bo11b3o3bo5bo3b3o5bo2bo33b2o5bo7bo
5b2o$6bo11bo3b2ob3ob3ob2o3bo5bo39b2o2b2o3b2o2b2o$2b2o14b2o2bo3b2ob2o3b
o2b2o8b2o35b5o5b5o$bob2o12b3o3b5ob5o3b3o6b2obo32bo7bobo7bo$bob2o20bo5b
o14b2obo31bo2bo3b3ob3o3bo2bo$2o20bo11bo14b2o27b3o21b3o$2obo13bo4bo11bo
4bo7bob2o27b2ob2obo2bo2bobo2bo2bob2ob2o$2b3o12bo4b4o5b4o4bo6b3o29b3o6b
o2bobo2bo6b3o$2b3o16bo4bo3bo4bo10b3o29b3o7bo5bo7b3o$20b2ob3o5b3ob2o39b
2ob2o6b2o5b2o6b2ob2o$20b2obo3bobo3bob2o39b4o7b2o5b2o7b4o$16b3o7b2ob2o
7b3o7b2o37bo7bo$15bo3b2o4bobobobo4b2o3bo6bob2o37bo3bo$14bo3bo19bo3bo7b
o6b3o14b3o12bo3bo12b3o$14bo9b3o3b3o9bo4b2o2bo21bo3bo27bo3bo16bo11bo$
18bo6b2o3b2o6bo8b2o12bo10bo3b2o27b2o3bo13b2ob2o7b2ob2o$13bo12bo3bo12bo
5bo2bo8bo13bo31bo16b2ob2o7b2ob2o$13bo2b2o5bo9bo5b2o2bo6b2o9bo9bo39bo
11bo3b2o7b2o3bo$14b2o8bo7bo8b2o29bobo33bobo12b3o13b3o$12bo12bo5bo12bo
12b3o14bo33bo17b3ob2ob2ob3o$11b3o29b3o27b2o33b2o12b3o5b2ob2o5b3o$10b2o
2bo27bo2b2o25b3o33b3o10bo5b2o7b2o5bo$13b2o27b2o26b2obo35bob2o7bo6b2o2b
obo2b2o6bo$13bo29bo26bo2bo35bo2bo13b3o2bobo2b3o$69bo43bo6bo6bo9bo6bo$
10bo35bo21b3o41b3o6b2o5bo7bo5b2o$11b2o31b2o21bo47bo9b2o2b2o3b2o2b2o$9b
o2bo31bo2bo19bob2o41b2obo9b5o5b5o$8bo39bo20b2o41b2o9bo7bobo7bo$7b2o39b
2o16bo2b2o41b2o2bo5bo2bo3b3ob3o3bo2bo$6b4o37b4o68b3o21b3o$5bo45bo16bob
o41bobo4b2ob2obo2bo2bobo2bo2bob2ob2o$5b3o41b3o17bo43bo5b3o6bo2bobo2bo
6b3o$4bo47bo66b3o7bo5bo7b3o$6b2o41b2o15b3o48b2ob2o6b2o5b2o6b2ob2o$8bo
39bo16b2obo48b3o8b2o5b2o8b3o$6b2o41b2o15bob2o49bo2bo5bo7bo5bo2bo$7bo
41bo17b3o47bob5o6bo3bo6b5obo$6bo43bo16bobo47bobobob2o5bo3bo5b2obobobo$
6bo43bo14b4o52bo3bo13bo3bo$51b2o12b2o55b4o13b4o$51bob2o67bo3bo11bo3bo$
54bo67bobob2o9b2obobo$53b2o$49bo3bo67b2o3b2o9b2o3b2o$50bo69bo6bo9bo6bo
$51bo2bo65bobo4bo4bo4bo4bobo$54bo72bo3b3o3bo$122b4obo2b2ob2o2bob4o$67b
2o50b3o4bo3b2ob2o3bo4b3o$68b2o50b2o8b2ob2o8b2o$67bo59b2o3bo3b2o$126bo
11bo$125bo3b2o3b2o3bo$124bo2b2o2b3o2b2o2bo$124bobo11bobo13bo11bo$152b
2ob2o7b2ob2o$124b2o13b2o11b2ob2o7b2ob2o$125b2o11b2o11bo3b2o7b2o3bo$
122bo2bo13bo2bo8b3o13b3o$121bobo2b2o9b2o2bobo10b3ob2ob2ob3o$123bo17bo
8b3o5b2ob2o5b3o$122b2o17b2o6bo5b2o7b2o5bo$127bo9bo10bo6b2o2bobo2b2o6bo
$124bobo11bobo13b3o2bobo2b3o$90b2o33bo13bo8bo6bo9bo6bo$89bobo57b2o5bo
7bo5b2o$91bo34b2o25b2o2b2o3b2o2b2o$126bobo24b5o5b5o$126bo24bo7bobo7bo$
125b3o22bo2bo3b3ob3o3bo2bo$125bobo19b3o21b3o$124bo2bo19b2ob2obo2bo2bob
o2bo2bob2ob2o$125bobo19b3o6bo2bobo2bo6b3o$147b3o7bo5bo7b3o$145b2ob2o6b
2o5b2o6b2ob2o$126bo18b4o7b2o5b2o7b4o$85b3o9b3o26bo29bo7bo$85bobo9bobo
26bo31bo3bo$84bo2bo9bo2bo42b3o12bo3bo12b3o$84bob4o5b4obo22bo5bo12bo3bo
27bo3bo$82b2o4bobo3bobo4b2o10bo8bobo3bobo10bo3b2o27b2o3bo$83b3ob2obo3b
ob2ob3o11b2o7b2o5b2o13bo31bo$81bo8bo3bo8bo8bobo25bo39bo$81bobo2b2obo5b
ob2o2bobo37bobo33bobo$80bo3b2o4bo3bo4b2o3bo38bo33bo$81bobo5bo5bo5bobo
38b2o5bo11bo15b2o$82bo4b3o5b3o4bo38b3o4bobo9bobo14b3o$139b2obo4b2ob2o
7b2ob2o14bob2o$86b2obo5bob2o40bo2bo4bo15bo14bo2bo$84b2ob2obo3bob2ob2o
21b2o5b2o7bo8b3o2bo5bo2b3o18bo$84b2ob2ob2ob2ob2ob2o21b2o5b2o6b3o5bo7bo
3bo7bo15b3o$81b2o8bobo8b2o32bo9b2o2b2ob2ob2ob2o2b2o19bo$79b2o3bob6ob6o
bo3b2o30bob2o6bobo4bo3bo4bobo16b2obo$80bobo3b2o9b2o3bobo33b2o3b3ob3o2b
2o3b2o2b3ob3o13b2o$78bob2o3bo13bo3b2obo28bo2b2o3b2ob4ob3o3b3ob4ob2o13b
2o2bo$78bobo6b3o5b3o6bobo37b4o4b2o3b2o4b4o$78b2o25b2o30bobo5bo5b2o5b2o
5bo15bobo$90bo3bo43bo10bo2bo5bo2bo20bo$87bo3bobo3bo24b2o5b2o17b3obo5bo
b3o$88bobo3bobo25b2o5b2o4b3o9bo5b2ob2o5bo$75b3o29b3o24b2obo8b3ob2ob2ob
2ob2ob3o$75bo2bo27bo2bo25bob2o4b2ob2o15b2ob2o$74bo4bo25bo4bo25b3o3b2ob
2ob2ob4ob4ob2ob2ob2o$73b2o35b2o24bobo13b2o3b2o$74bobo2bo25bo2bobo23b4o
5bo23bo$134b2o4b2ob2o6bo7bo6b2ob2o$74bo2bo29bo2bo30b2o8b2o5b2o8b2o$74b
o2bo29bo2bo11b2o$72bobo35bobo9b2o28b3ob3o$71b3o37b3o25bo31bo$73bo37bo
26b3o29b3o$69bo45bo21b2ob2o27b2ob2o$68bob2o41b2obo19b3o33b3o$68bobo43b
obo19b2o35b2o$67b2o47b2o18b3o33b3o$68bo47bo21bo33bo$69b3o41b3o$70bo43b
o22b2o33b2o$134b2obo35bob2o$134bo2bo35bo2bo$113bobo20bo37bo$114b2ob2o
13b2o43b2o$115bobobo11bob2o41b2obo$114b2o15bob2o41b2obo$115bobo2bo9b2o
47b2o$116bo2bo10b2obo43bob2o$117b2o13b3o41b3o$132b3o41b3o3$131b2o$129b
2obo$130bo$129bo2b2o$132b2o$128bo2bo$129b2o7$127b3o$129bo$128bo46$196b
o$196b2o$195bobo!

[russellsprouts]

I don't know how to describe this spaceship.

Nice, so you have 4 sets of herschel loops made up of long tracks of Fx77 conduits, plus other conduits to turn the corners, arranged into two pairs of tracks. In each pair, one loop has a glider output facing forward, and one loop has a glider output facing backward. The backward output of pair A is used to shorten the back of the loop of pair B, and vice-versa. The forward output of pair A lengthens the front of pair B, and vice-versa, so the entire set of tracks moves orthogonally.

It looks like the herschel tracks can support a minimum follow distance of 63 ticks.

Code: Select all

x = 535, y = 187, rule = B3/S23
23$13bo$13b3o$16bo$15b2o53$133b2o48b2o48b2o48b2o48b2o48b2o48b2o$110bo
23bo25bo23bo25bo23bo25bo23bo25bo23bo25bo23bo25bo23bo25bo20bo$108b3o23b
obo21b3o23bobo21b3o23bobo21b3o23bobo21b3o23bobo21b3o23bobo21b3o23bobo
21b3o11bo7bobo$107bo27b2o20bo27b2o20bo27b2o20bo27b2o20bo27b2o20bo27b2o
20bo27b2o20bo14b3o6bo$107b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o16bo16b
o$474b2o14b3o$84bo42bo49bo49bo49bo49bo49bo49bo61bo$84b3o38b3o47b3o10b
3o34b3o47b3o47b3o47b3o47b3o61b2o$87bo36bo49bo12bo2bo16b4o13bo49bo49bo
49bo49bo$86b2o23b2o11b2o35b2o11b2o11bo2b2o14b2o2bo13b2o35b2o11b2o35b2o
11b2o35b2o11b2o35b2o11b2o$111b2o48b2o24b2o2bo13b2o2bo51b2o48b2o48b2o
48b2o$189b3o14bo2bo257b2o25b2o$189b2o16b2o258b2o25bo$492bobo$492b2o2$
186b2o$185bo2bo290b2o$136b2o48b2o48b2o48b2o48b2o48b2o48b2o32b2o6bobo$
75bo23b2o35b2o11b2o36bo11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o
35b2o11b2o20bo6bo$74bobo22bo49bo49bo13b2o34bo49bo49bo49bo49bo18b3o6b2o
$75bo14b2o8b3o47b3o47b3o10b3o34b3o47b3o47b3o47b3o47b3o15bo$90bo11bo49b
o49bo10b3o36bo49bo49bo49bo49bo$91b3o119bo$93bo38b2o48b2o30bo17b2o48b2o
48b2o48b2o48b2o$110b2o20bo27b2o20bo27b2o20bo27b2o20bo27b2o20bo27b2o20b
o27b2o20bo$77b2o30bobo21b3o23bobo21b3o23bobo21b3o23bobo21b3o23bobo21b
3o23bobo21b3o23bobo21b3o45b2o$76bobo30bo25bo23bo25bo23bo25bo23bo25bo
23bo25bo23bo25bo23bo25bo44bobo$76bo31b2o48b2o48b2o48b2o48b2o48b2o48b2o
70bo$75b2o402b2o$91b2o$91bobo$93bo$84b2o7b2o$84b2o411b2o$497bobo$499bo
$499b2o4$74b2o$75bo$75bobo$76b2o411b2o$480b2o7b2o$481bo$481bobo$482b2o
$94b2o402b2o$94bo70b2o48b2o48b2o48b2o48b2o48b2o48b2o31bo$92bobo44bo25b
o23bo25bo23bo25bo23bo25bo23bo25bo23bo25bo23bo25bo30bobo$92b2o45b3o21bo
bo23b3o21bobo23b3o21bobo23b3o21bobo23b3o21bobo23b3o21bobo23b3o21bobo
30b2o$142bo20b2o27bo20b2o27bo20b2o27bo20b2o27bo20b2o27bo20b2o27bo20b2o
$141b2o48b2o48b2o48b2o48b2o48b2o48b2o38bo$481b3o$122bo49bo49bo49bo49bo
49bo49bo49bo11bo$106bo15b3o47b3o47b3o47b3o47b3o47b3o47b3o47b3o8b2o14bo
$96b2o6b3o18bo49bo49bo49bo49bo49bo49bo49bo22bobo$96bo6bo20b2o11b2o35b
2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o23bo$94b
obo6b2o32b2o48b2o48b2o48b2o48b2o48b2o48b2o$94b2o3$81b2o$80bobo$80bo25b
2o386b2o$79b2o25b2o386bobo$162b2o48b2o48b2o48b2o48b2o48b2o48b2o32bo$
149b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b2o35b2o11b
2o23b2o7b2o$150bo49bo49bo49bo49bo49bo49bo36bo$84b2o61b3o47b3o47b3o47b
3o47b3o47b3o47b3o38b3o$85bo61bo49bo49bo49bo49bo49bo49bo42bo$82b3o14b2o
$82bo16bo16b2o48b2o48b2o48b2o48b2o48b2o48b2o48b2o$93bo6b3o14bo20b2o27b
o20b2o27bo20b2o27bo20b2o27bo20b2o27bo20b2o27bo20b2o27bo$92bobo7bo11b3o
21bobo23b3o21bobo23b3o21bobo23b3o21bobo23b3o21bobo23b3o21bobo23b3o21bo
bo23b3o$93bo20bo25bo23bo25bo23bo25bo23bo25bo23bo25bo23bo25bo23bo25bo
23bo$140b2o48b2o48b2o48b2o48b2o48b2o48b2o$133b2o48b2o48b2o48b2o48b2o
48b2o$110bo23bo25bo23bo25bo23bo25bo23bo25bo23bo25bo23bo25bo$108b3o23bo
bo21b3o23bobo21b3o23bobo21b3o23bobo21b3o23bobo21b3o23bobo21b3o$107bo
27b2o20bo27b2o20bo27b2o20bo27b2o20bo27b2o20bo27b2o20bo$107b2o48b2o48b
2o48b2o48b2o48b2o48b2o!

I just pushed recipes/sc63b5p120-gliders.txt to the repo. If you recompile the OGGCA recipes using --toolkit-file=recipes/sc63b5p120-gliders.txt, it will probably be a bit faster. From one test, maybe about 15%.

[aengmore]

reminds me of this ship in OCA with the same principle

2c/2540

Code: Select all

x = 1274, y = 17, rule = Flow6
3.178AEBAEBAEBAEBA3EBAEBAEBAEBAEBAEBAEBAEBAEBAEBAEBA2EBA2EBA2EBAEBA2E
BA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA
2EBAEBA2EBA2EBA3EBA2EBA2EBAEBA2EBA3EBAEBAEBAEBAEBAEBAEBAEBAEBAEBAEBA
2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EB
A2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBA3EBA2EBA2EBAEBA2EBA3EBAEBAEBAEB
AEBAEBAEBAEBAEBAEBAEBAEBAEBA2EBA2EBA2EBA2EBAEBA2EBA2EBA2EBA2EBA2EBAEB
A2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBA3EBA2EBA2EBAEBA
2EBA3EBAEBAEBAEBAEBAEBAEBAEBAEBAEBAEBAEBAEBA2EBA2EBAEBA2EBA2EBA2EBAEB
A2EBA2EBA2EBAEBA2EBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBA2EBA2EBA
2EBAEBA2EBA3EBAEBAEBAEBAEBAEBAEBAEBAEBAEBAEBAEBA2EBA2EBAEBA2EBA2EBAEB
A2EBA2EBAEBA2EBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAE
BA2EBA2EBAEBA2EBA2EBA3EBA2EBAEBA3EBAEBAEBAEBAEBAEBAEBAEBAEBAEBAEBA2EB
A2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2E
BAEBA2EBA2EBA2EBA2EBAEBA3EBAEBAEBAEBAEBAEBAEBAEBAEBAEBAEBA2EBA2EBA2EB
AEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEB
A2EBA2EBAEBA2EBA2EBA3EBA2EBA2EBAEBA2EBA2EBAEBA2EB3A$3.A1266.A$.1270A$
.A$3.1268A$3.A1266.A$3.AEBAEBA3EBAEBAEBA2EBA2EBA2EBA3EBA2EBA2EBAEBA2E
BA3EBAEBAEBA2EBA2EBAEBA2EBA2EBA3EBA2EBA2EBAEBA2EBA3EBAEBAEBAEBA2EBAEB
AEBAEBAEBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA
2EBA2EBAEBA2EBA2EBA3EBA2EBAEBA3EBAEBAEBAEBAEBAEBAEBAEBAEBA2EBA2EBAEBA
2EBA2EBA2EBAEBA2EBA2EBA2EBAEBA2EBA2EBA2EBAEBA2EBA2EBA3EBA2EBAEBA3EBAE
BAEBAEBAEBAEBAEBAEBAEBA2EBA2EBA2EBA2EBAEBA2EBA2EBA2EBA2EBA2EBAEBA2EBA
2EBA3EBA2EBAEBA3EBAEBAEBA2EBA2EBAEBA2EBA2EBA3EBA2EBAEBA3EBAEBAEBA2EBA
2EBA2EBA3EBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EBA2EBAEBA2EB738A$1272.
A2$1273.A$2.1272A$2.A1268.A$2.737AB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB
2EABEAB2EAB2EAB3EAB2EAB2EAB2EABEABEAB3EABEAB2EAB3EAB2EAB2EABEAB2EAB2E
ABEABEAB3EABEAB2EAB3EAB2EAB2EABEAB2EAB2EAB2EAB2EAB2EABEAB2EAB2EAB2EAB
2EABEABEABEABEABEABEABEABEAB3EABEAB2EAB3EAB2EAB2EABEAB2EAB2EAB2EABEAB
2EAB2EAB2EABEAB2EAB2EAB2EABEAB2EAB2EABEABEABEABEABEABEABEABEAB3EABEAB
2EAB3EAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2E
ABEAB2EAB2EABEABEABEABEABEAB2EABEABEABEAB3EAB2EABEAB2EAB2EAB3EAB2EAB
2EABEAB2EAB2EABEABEAB3EAB2EABEAB2EAB2EAB3EAB2EAB2EAB2EABEABEAB3EABEAB
E2A$A$6AB2EABEAB2EAB2EABEAB2EAB2EAB3EAB2EAB2EABEAB2EAB2EABEAB2EAB2EAB
EAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EAB2EA
BEABEABEABEABEABEABEABEABEABEAB3EABEAB2EAB2EAB2EAB2EABEAB2EAB2EABEAB
2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEABEAB
EABEABEABEABEABEABEABEAB3EABEAB2EAB3EAB2EAB2EABEAB2EAB2EABEAB2EAB2EAB
EAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EAB2EABEAB2EAB2EABEAB2EAB2EA
BEAB2EAB2EABEABEABEABEABEABEABEABEABEABEABEAB3EAB2EABEAB2EAB2EAB2EAB
2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EAB2EABEAB2EAB2EAB2EABEAB2EAB2E
AB2EABEAB2EAB2EABEABEABEABEABEABEABEABEABEABEABEABEAB3EAB2EABEAB2EAB
2EAB3EAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2E
AB2EAB2EAB2EABEAB2EAB2EAB2EAB2EABEABEABEABEABEABEABEABEABEABEABEABEAB
3EAB2EABEAB2EAB2EAB3EAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2E
AB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEABEABEA
BEABEABEABEABEABEABEAB3EAB2EABEAB2EAB2EAB3EAB2EAB2EABEAB2EAB2EABEAB2E
AB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB2EABEAB2EAB
2EAB2EABEABEABEABEABEABEABEABEABEABEAB3EABEABEABEABE179A$2.A1268.A$2.
1270A!