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!