Thread For Your Useless Discoveries

[gameoflifeboy]

Take a look at these two collisions:

Code: Select all

x = 6, y = 6, rule = Life
4bo$2obo$2ob3o2$2ob2o$2ob2o!

Code: Select all

x = 7, y = 7, rule = B3/S23
bo3bo$2bobo$3ob3o2$3ob2o$2bob2o$bo!

They both have the same junk, but in different places (?)

Their junk is in the same place. In fact, they become the same after 3 generations.

[M. I. Wright]

Yes, the way I read the original question is that it's necessary for the turn-ON signal and the turn-OFF signal to be able to be sent in at any time. There are a lot of ticks where that two-glider-makes-block OFF signal will cause an explosion in the gun, due to the passing glider.
...there are several universal-regulator mechanisms available.

Code: Select all

RLE

No matter when that input glider comes in, the eater will always be cleanly destroyed and then rebuilt, and one output signal will be produced.

Oh, wow - I originally interpreted it that way too, but I didn't think it was possible to account for every possible collision! Congrats on making the stable version too.
And thanks, Billabob, I had missed that.

I don't have anything to share, but I was wondering - how many gliders colliding at 180 degrees are needed to create a ship that points at where the two glider streams came from? As an example there's this, but... it's a bit inefficient.

Code: Select all

x = 84, y = 98, rule = B3/S23
82bo$81bo$81b3o11$78bo$77bo$77b3o3$75bo$74bo$74b3o8$67bo$66bo$66b3o9$
52b2o$53b2o$52bo44$8b3o$10bo$9bo8$3o$2bo$bo!

[mniemiec]

I don't have anything to share, but I was wondering - how many gliders colliding at 180 degrees are needed to create a ship that points at where the two glider streams came from? As an example there's this, but... it's a bit inefficient.

It can be done with 3:

Code: Select all

x = 28, y = 8, rule = B3/S23
obo$oo$bo$6bobo$bboobboo$bobo3bo18boo$3bo21bobo$25boo!

[Saka]

Time to post wls results!
HUGE c/4:

Code: Select all

x = 104, y = 15, rule = B3/S23
6bo30bobo15b2o29bo2bobo3bobo$ob2obobo15bo8b2o9b2o4b2o3b3o22b2o4b2o4bo
2bo2bo$o5bo5b2obo7bo3bo3bobo2bo2b3o2bo2bob3o3bo10b2obo2b2o4b3o4bo7bo3b
o5bo$ob2o2b2o3bo3b2obobo2bo7bob2ob2o2bo3b2ob2ob2o4bo9b2obo2b5o3bo2b2o
2b2ob4o6b4o$6b2obob3obo2bobo3bob2o2bo2b2o2bo8bobo8bob5o2bo2b2o4bo2b2o
4bobobob2o8b3o$10b2o6bo2bo3bo3bobo2b2o12bob3o2bobo3b3ob2o4bobo2b4o5bo
4bo3bo2bobobo$bo3bo3bo9b2o14bobo8b3o5b3o3b4ob2ob4ob2ob2o9bob2o4b2o2b3o
$b2o2bo3bo18b3o14bo52bo3b2o$bo3bo3bo9b2o14bobo8b3o5b3o3b4ob2ob4ob2ob2o
9bob2o4b2o2b3o$10b2o6bo2bo3bo3bobo2b2o12bob3o2bobo3b3ob2o4bobo2b4o5bo
4bo3bo2bobobo$6b2obob3obo2bobo3bob2o2bo2b2o2bo8bobo8bob5o2bo2b2o4bo2b
2o4bobobob2o8b3o$ob2o2b2o3bo3b2obobo2bo7bob2ob2o2bo3b2ob2ob2o4bo9b2obo
2b5o3bo2b2o2b2ob4o6b4o$o5bo5b2obo7bo3bo3bobo2bo2b3o2bo2bob3o3bo10b2obo
2b2o4b3o4bo7bo3bo5bo$ob2obobo15bo8b2o9b2o4b2o3b3o22b2o4b2o4bo2bo2bo$6b
o30bobo15b2o29bo2bobo3bobo!

[gmc_nxtman]

Not really that huge compared to my c/4 diagonal in B3578/S0246:

Code: Select all

x = 124, y = 124, rule = B3578/S0246
118b2o$117b2o$117b2o2bo$117bob2o2bo$114b3ob4obo$113b4o$114b2obob3o$
112bob3o$111b2o2bo2bobo$110bo3b2ob3o$109b3ob2o2bo$111b3ob2o$105bo2b2ob
obo$106bob4obo$103b5ob3obo$106b2ob2o$106bo3bo$106b2o$100b7ob3o$99b3ob
2o$98bobobo2bobo$97b3ob2obobo$97b3obo2bo$96bo5bo2bo$96b2o4b2o$94b3ob2o
bo$96bobo$94b2o4bo$92bobo2bo$91bob3o$89bo6bo$88b4o2bo$87bo2b3o$90b2obo
$85b4o2bo$82bo3b2obo$82b2o6bo$85b3o$81bo3b5o$79bo3b4o$79bob3o3bo$80b2o
bo2b2o$78bo2b3o$80b3o$76b2obo$75bob3obo$74bob2o$74bobobo$70b2o$70bob2o
2bo$70b5o$73bo$71b3o$66bobobo4bo$70bo$66b2obo$62bobo3b2o$61b3ob4o$62bo
$60bo3b2o$61b7o$57bob4o$57b6o$56b3obo2bo$56b2ob2o$56b2o4bo$57b3obo$55b
o3bo$54b2o$51bo2b2o$49b5o$48bo4bo$48b2o3bo$48b5o$44bo2bo2b2o$43bo5bo$
45b2obo$43bobobobo$39bob3obob2o$38bo3bob2obo$40bobo2bo$37b2ob2o3bo$40b
4o$35bo2b2obobo$35b2o3bo2b2o$36b2ob2obo$35bob2o2bo$33b3o3b2o$36bo$32b
3obo$31bo2b2o$30bo$26bo2b2o2bo$24bo2bo2b2o$23bo2b4o$23b2obob2o$25bob2o
$21b3o2b2o2bo$22b2o$22b3o2b2o$19b2ob2obobo$18b2o2b2ob2o$16bo3b4o$15b3o
2b4o$16bobo2bobo$14bobobobobo$15b3o2b2o$11bobob5o$13bo$8bo2b2o$9bob4ob
o$9bo2b4o$8b4obobo$10bo3bo$7bo2b4o$5bo2bo$3bobo2bo$4bobobo$2b2o4bo$bob
4o$bo2b2o$2o3bo$obo$2o!

Or this c/3 diagonal in B35/S035:

Code: Select all

x = 122, y = 107, rule = B35/S035
21$105bo$105bo$104b2o$104bo$102b5o$105bo$101bo2b2o$102bobo4bo$102b2o3b
3ob3o$96bo3bo5b2ob3o$96b2o7bo3bo$96bo2bo5b2o2bo$95b2o10bo$92b4o2bo5bo$
92b2obob2o3bo$92bo2bobob2o$92b2o2bob2o3bo$90bob3o2bo3b4o$89bobo6b4o$
91bo4bo3bo$88b2ob2o3b2ob2o$91bobo2b5o$85bob4ob4o$85b2o2bobo4bo$84bob2o
2b2obobo$83bob3o3bobo$84b2o2b2obo$83bobo2b3o$78bo2bob2ob3ob2o$78bo2b3o
bobobo$76bo2bob2ob3obo$76bobo4b2o$77b3o3b3o$75bo$71b2ob2o5bobo$74b4o3b
2ob2o$70b3obo3bo2bo$70b2obo4bo3b2o$70bo7b3o$72b2o3b3o$69bo2bobobo$67bo
b2o2b2o2bobo$65bob3o6b2obo$65b2ob2o2bo2b3o$65b2obob4o$64b2obob3o$62b2o
2bobo2b2o$59bo3bobobob2o$62b3obob4o$60b2o3bo2bo$57b4obo2b3o$54b4o3bobo
bobo$57b3o2bobo$54bo2bobo3b2o$53bo3b2ob2obo2bo$50b4o2bo2bobobo$51bo2bo
4b5o$52bobo3bo3bo$47b2ob2o10bo$48bo2bo4b2o2bobo$47b3o8b2o$45b4o2bo4bob
o$44b2o4bobob2ob2o$49bobo3bo2bo$45bob2obo2bo$47bobo2b4o$48b2o2b2obo$
52bo$49bob2o$51bo!

If I have any more I'll post in a different subforum.

[M. I. Wright]

It can be done with 3:

Code: Select all

x = 28, y = 8, rule = B3/S23
obo$oo$bo$6bobo$bboobboo$bobo3bo18boo$3bo21bobo$25boo!

Oh thanks, that's perfect - I missed it when I was looking at your website and the wiki.
One last question: Are there any low-period diagonal rakes? jslife's got nothing and I'm not sure where else to search.

[dvgrn]

One last question: Are there any low-period diagonal rakes? jslife's got nothing and I'm not sure where else to search.

I'm kind of surprised I can't find any c/4 ones, come to think of it. Jason's Life Status collection has diagonal c/4 puffers with periods high enough that it seems as if a reasonably low-period rake might show up. But offhand I can only see the various high-period ones.

I think maybe the lowest known period for a diagonal rake is 96, using Cordership technology (?!?). There are a couple of samples in Cambrian-Explosion.rle. I don't remember any new ones based on Paul Tooke's Cordership that used less than five engines. Dean Hickerson's early Corderrake versions from the late 1990's started out needing fourteen engines, which gradually got reduced to eight:

Code: Select all

#C p96 8-engine Corderman rake
#C Dean Hickerson, 7/3/98
x = 73, y = 73, rule = B3/S23
54bo$37b3o8bo5bo$36bo3bo6bo7bo$37b2o9b4o2b2o$39b2ob2o9b3o$41b2o11bobo$
55bo7b2o$55bo7b2o4$30b3o$29bo3bo$28bo3b2o17bo$29bo20bobo18b2o$30b4o16b
o2bo17b2o$32bob2o15b2o$32bo2bo$33b2o12b2o$47b2o3$40bo21bobo$39bobo19bo
$39bobo20bo2bo$40bo23bobo$67bo$66b3o$13bo52bo$12bobo49b2o$11bo3bo50bo$
11bo3bo48bo2bo$11bobob3o46bobo$12b2obo2bo45bo$16bobo31bo$16b2o31bobo$
2bo$bobo45bo2bo3bob3o$bobo47bo4bo$bo2bo18b2o27bob2obobo$2bobo17bo2bo
27b2o3bo$5bo17b2o29bo$4b2o$4bo4$2bo15b2o$bobo14b2o$3bo29b3o$3bo10b2o
21bo12b2o$3bo9bo2bo20b2o10bo$14bobo20bo2bo8b2o$4bo10bo22bobo$2ob3o32bo
$2b3ob2o29b2o12b2o$5bo30bobo12b2o$38b2o$35b2o$37bo2$24b3o$24b3o$6b2o
17bo$6b2o18b2o$27bo$26bo4$24b2o$14b2o8b2o$14b2o9bo!

[M. I. Wright]

I think maybe the lowest known period for a diagonal rake is 96, using Cordership technology (?!?)

Gah, that's what I was afraid of... but it turns out that p48 corder-rake streams actually do the job for me (I assume the smallest way to get said streams would be to use two rakes?).

...one catch, though, and I think this is going to force me to abort the whole thing: I need to be able to make the rakes from a single glider (like in calcyman's glider-to-cordership converter... gah). I guess I'd be getting my hopes up a bit too much if I were to ask for a 20-or-so-glider-synthesis of this particular model? :s

[Sokwe]

One last question: Are there any low-period diagonal rakes? jslife's got nothing and I'm not sure where else to search.

I'm kind of surprised I can't find any c/4 ones, come to think of it. Jason's Life Status collection has diagonal c/4 puffers with periods high enough that it seems as if a reasonably low-period rake might show up. But offhand I can only see the various high-period ones.

So far, all known c/4 diagonal rakes are very high-period. All known c/4 diagonal rakes are based on burning a boat wick and then carefully manipulating the output. The reason for the high period is that it takes a long time to position the gliders to trigger the burning reaction. An example can be seen in the Golly pattern collection (c4-sideways-rake.rle in the rakes folder).

The only low-period c/4 diagonal puffer is this p28 "engine-based" one by Hartmut Holzwart:

Code: Select all

x = 26, y = 36, rule = B3/S23
10b3o$10bo$11bo$13b2o$14bo2$11bo$8b4obo$8bo4bo$9bo4b2o$11bo2b3o$15b2o$
12b2ob2o$12b2ob2o$10b2o3b2obobo$9b2o4bo3bo$10b2ob3o6bo$7b5ob2o6bobo$6b
2o3bob2o7bo$8bob2o$11bo2$11bo12bo$4bo5b3o10bobo$3b2o5bo12bobo$3bobo7b
2o9bo$8b3o3b2o$bo4b5o2bo$2o3b3o$obo3bo2$3b2o$2b3o2$b2o$bo!

I think maybe the lowest known period for a diagonal rake is 96, using Cordership technology (?!?).

Actually, the lowest period for a diagonal rake is 85 (it travels at c/5 diagonally):

Code: Select all

x = 825, y = 1013, rule = B3/S23
214b3o$213bo$212bo2b2o$210b2obob2o$209bo2bo2b2o$209bo3bobo$209bob2obo$
210bobo$210b4o43b2o$209b5o43b2o$208b2o3bo42bo2bo$207bo2bo42b2obo2bo$
206bo2bo49bo$205bo45b2o3bo2bo$199b3o2b2obo43b2o5bo$198bo3b3obo45bob5o
61b2o$198bo2bob2o48bo65bo2bo$197bobob4o113b2o2bo$196bobobo2b3o112bo2b
3o$195bo5bo48b3o62b2obo2b3o$195bob4o49bo63b2o5b2o$195bob3o48b2o71b2o$
242b2o4bo65b2ob5o$21bo220b3o3bo67b5o$20b2o218bo4bo116b3o$19bo220bo3bo
69bo46bo$17b3ob2o166b3o52bo68b2o45bo2b2o$16b2obo3bo167bo47b2obobo68bo
44b2obob2o$15bob3o170bo46b2o5bo66b2o44bo2bo2b2o$14b2obobob2o214b2o4b2o
60bobo2b2o45bo3bobo$15bob2obo130b2o86b4o61b2obo49bob2obo$15bo136b2o
150bo3bo49bobo$151bo61b3o91b2o49b4o$14bo5bo281b3o2b2o48b5o$14bo4bo93b
2o102bo83b2o4b2o47b2o3bo$13bo2bo95bobo96bo5bo12b2o2bo65bo6b2o46bo2bo$
12bo101bo86bo8b3o4bo11b3o2b2o64bo2b5o46bo2bo$6bo3b2o188b2o8b3o7b2o8b2o
2b3o64b6o46bo$5b4o66bo123bo7bo12b2o8b2o2b2o67b2o42b3o2b2obo$4bo7bo62b
2o120b3ob2o4bo138bo3b3obo$3b5o66bobo119b2obo3bo3b4o135bo2bob2o$3bobobo
187bob3o9bob3o94b3o34bobob4o$2b5o4bo182b2obobob2o7b3obo93b3obo31bobobo
2b3o$bo5bo2bo25b3o156bob2obo10bo2bo61b2o35bo29bo5bo$2obo2bo31bo156bo
11b2o3bo62bobo35b2o28bob4o$3bo2bo30bo170bobobo64bo34b2o29bob3o$4bo189b
o5bo8b3o100bo$12bo181bo4bo10bo27bo$11b2o180bo2bo41b2o237b2o$11bobo178b
o34b2o8bobo238b2o$186bo3b2o35b2o248bo$185b4o$15b3o166bo7bo113b2o131b2o
$15bo167b5o116b2o2bo129bobo$16bo166bobobo116b3o133bo$182b5o4bo112bobo$
20b2o159bo5bo2bo109b4o2bo17b2o75bo$19b2o159b2obo2bo113b3o3bo17b2o75b2o
$21bo161bo2bo38b2o75bob2o24b2o68bobo$184bo39bo2bo73bo6bo21b2o$24b2o
199b2o74b2o4bo$24bobo276b3o22b2o32b3o$24bo194bo79b2o26b3o34bo$219bob2o
3bo72b2o26bo2bo32bo$29bo191b2obo2b2o70b2o19bo6b2obo$28b2o189b2o3bo71b
3o20bobo6b2o9bo$28bobo188b2o69b2o4b3o20bobo16bo$290b2ob2o25bo17b3o$
223b2o65b3obo$32b3o188b2o6bo58bo4bo19b2o7b2o$32bo198bobo53b3o2bo2bo18b
o2bo5bo2bo$33bo197b2o54b2o3bo2bo19b2o7b2o$286bob4o$37b2o247bo7bo25bo$
36b2o249bo5bo25bobo$38bo280bobo13bobo$320bo$41b2o292bo3bo$41bobo292bo$
41bo295b2o2$46bo$45b2o$45bobo$366b3o$365bo$49b3o312bo2b2o$49bo291b2o
19b2obob2o$50bo292bo17bo2bo2b2o$340bo3bo16bo3bobo$54b2o305bob2obo$53b
2o287bobo17bobo$55bo306b4o$361b5o$58b2o300b2o3bo$58bobo298bo2bo$58bo
299bo2bo$357bo$63bo287b3o2b2obo$62b2o265b2o19bo3b3obo$62bobo263bo2bo
18bo2bob2o$327b2o2bo17bobob4o$327bo2b3o15bobobo2b3o$66b3o255b2obo2b3o
14bo5bo$66bo256b2o5b2o2bobo10bob4o$67bo262b2o2b2o11bob3o$323b2ob5o4bo$
71b2o155bo96b5o$70b2o154b2o183b2o$72bo154b2o94bo87b2o$322b2o86bo2bo$
75b2o245bo84b2obo2bo$75bobo242b2o91bo$75bo238bobo2b2o84b2o3bo2bo$313b
2obo88b2o5bo$80bo232bo3bo88bob5o$79b2o235b2o89bo$79bobo229b3o2b2o136b
2o$310b2o4b2o36b2o96b2o2bo$309bo6b2o35bo2b2o46b3o45b3o$83b3o223bo2b5o
36b2ob2o46bo47bobo$83bo226b6o86b2o44b4o2bo$84bo227b2o38b3o2b2o37b2o4bo
45b3o3bo$357bo38b3o3bo47bob2o$88b2o260b2o4b2o36bo4bo49bo6bo$87b2o260bo
3b4o37bo3bo50b2o4bo$89bo259b7o42bo52b3o$351bo41b2obobo48b2o$92b2o297b
2o5bo48b2o$92bobo256b2o38b2o4b2o48b2o$92bo258b2o40b4o47b3o$438b2o4b3o$
97bo340b2ob2o$96b2o340b3obo$96bobo290b2o47bo4bo$390b2o43b3o2bo2bo$389b
o45b2o3bo2bo$100b3o331bob4o$100bo250b2o81bo7bo$101bo248bobo82bo5bo$
352bo$105b2o230b3o72bo$104b2o230bo75bo$106bo228bo2b2o4b2o83bo3bo$333b
2obob2o3b3o62b4o15bo2bob3o$109b2o112bo108bo2bo2b2o6b3o58bo6b3o13bobobo
$109bobo110bo109bo3bobo5bo2bo48b2o8bo3bo17bo$109bo112b3o107bob2obo5b2o
b3o45b2o2bo10b2o7b2o7b2o$333bobo8b2o48b3o8b2o3bo7b2o8bobo3bo$114bo218b
4o8bo2b2o44bobo7b2o2b3o17bobo$113b2o217b5o9b3o41b4o2bo3bo2bo2b2ob2o$
113bobo215b2o3bo10bo42b3o3bo5b3ob2o2b3o$330bo2bo58bob2o6bo3b2obobobo$
329bo2bo58bo6bo7bo2b2o2bo$117b3o208bo62b2o4bo8bo4b3o$117bo204b3o2b2obo
62b3o10bo3b2o$118bo202bo3b3obo59b2o16bo3bo$321bo2bob2o61b2o17bobo$122b
2o196bobob4o61b2o18bo$121b2o196bobobo2b3o57b3o$123bo194bo5bo55b2o4b3o$
318bob4o56b2ob2o$126b2o190bob3o57b3obo$126bobo251bo4bo$126bo250b3o2bo
2bo$377b2o3bo2bo$131bo244bob4o$130b2o244bo7bo$130bobo244bo5bo3$134b3o$
134bo$135bo2$139b2o$138b2o$140bo317b2o$456b2o2bo$143b2o311b3o$143bobo
310bobo$143bo283bobo22b4o2bo$427b2o23b3o3bo$148bo279bo25bob2o$147b2o
69bobo232bo6bo$147bobo68b2o233b2o4bo$219bo235b3o$451b2o$151b3o297b2o$
141b2o8bo299b2o$141b2o9bo295b3o$140bo2bo298b2o4b3o$137b2obo2bo12b2o
262b2o20b2ob2o$143bo11b2o263b2o20b3obo$135b2o3bo2bo13bo261bo2bo19bo4bo
$135b2o5bo273b2obo2bo16b3o2bo2bo$136bob5o17b2o260bo16b2o3bo2bo$137bo
22bobo251b2o3bo2bo15bob4o$160bo253b2o5bo16bo7bo$415bob5o17bo5bo$134b3o
28bo250bo$134bo29b2o$132b2o30bobo$39b2o85b2o4bo280b3o70b2o$37b2o2bo84b
3o3bo280bo24bo47b2o$37b3o84bo4bo38b3o240b2o25b2o45bo2bo$37bobo84bo3bo
39bo194b2o40b2o4bo25bobo42b2obo2bo$33b4o2bo88bo40bo192b3o40b3o3bo26bo
49bo$33b3o3bo83b2obobo233b2obo37bo4bo24bo46b2o3bo2bo$35bob2o82b2o5bo
44b2o188b3o37bo3bo24b3o45b2o5bo$34bo6bo79b2o4b2o43b2o190bo42bo73bob5o$
34b2o4bo82b4o47bo227b2obobo74bo$36b3o361b2o5bo121b2o$32b2o143b2o221b2o
4b2o119b2o2bo$32b2o92b2o49bobo222b4o73b3o45b3o$32b2o91bobo49bo257b2o
42bo47bobo$29b3o95bo308bo40b2o44b4o2bo$23b2o4b3o150bo252bo35b2o4bo45b
3o3bo$23b2ob2o60bo92b2o288b3o3bo47bob2o$23b3obo60b2o91bobo253bo31bo4bo
49bo6bo$23bo4bo58bobo344bo34bo3bo50b2o4bo$20b3o2bo2bo405bo2bo35bo52b3o
$20b2o3bo2bo185bo218b3o32b2obobo48b2o$19bob4o24b3o116bo45bobo216b3o30b
2o5bo48b2o$19bo7bo23bo114b4o44b2o217bo2bo29b2o4b2o48b2o$20bo5bo23bo
114b2o3b2o262bobo31b4o47b3o$127b2o39bo3bo17b2o242b3o76b2o4b3o$31bo93b
2o2bo38bo3bo16bo2bo320b2ob2o$30b2o93b3o40bo2b2o16bobo321b3obo$30bobo
92bobo38bo3bo17b2o274b2o47bo4bo$121b4o2bo34bo25bo2b2o272b2o43b3o2bo2bo
$121b3o3bo32b2o25b2ob3o271bo45b2o3bo2bo$34b3o86bob2o34b2o24bo5bo315bob
4o$34bo87bo6bo61bobo315bo7bo$35bo86b2o4bo300b2o79bo5bo$124b3o58b2o5bo
234b2o2bo$39b2o79b2o63b2obob2o235b3o57bo$38b2o80b2o63bo2bo238bobo57bo$
40bo79b2o65b2o234b4o2bo74bo3bo$117b3o68b2o233b3o3bo53b4o15bo2bob3o$43b
2o66b2o4b3o61b2o4b3o235bob2o53bo6b3o13bobobo$43bobo65b2ob2o65b2o4b2o
235bo6bo39b2o8bo3bo17bo$43bo67b3obo308b2o4bo38b2o2bo10b2o7b2o7b2o$111b
o4bo309b3o40b3o8b2o3bo7b2o8bobo3bo$48bo59b3o2bo2bo305b2o45bobo7b2o2b3o
17bobo$47b2o59b2o3bo2bo83b2o220b2o41b4o2bo3bo2bo2b2ob2o$47bobo57bob4o
86bobo220b2o41b3o3bo5b3ob2o2b3o$107bo7bo82bobo218b3o45bob2o6bo3b2obobo
bo$108bo5bo298b2o4b3o44bo6bo7bo2b2o2bo$51b3o359b2ob2o48b2o4bo8bo4b3o$
51bo141bo219b3obo50b3o10bo3b2o$52bo138b2o220bo4bo45b2o16bo3bo$410b3o2b
o2bo45b2o17bobo$56b2o148b2o202b2o3bo2bo45b2o18bo$55b2o141bo7b2o201bob
4o46b3o$57bo139bobo209bo7bo37b2o4b3o$197bo2bo209bo5bo38b2ob2o$60b2o
131b2o4bo255b3obo$60bobo130bobo2b2o255bo4bo$60bo133bo257b3o2bo2bo$211b
o240b2o3bo2bo$65bo143b2o240bob4o$64b2o144b2o5b2o232bo7bo$64bobo149bobo
233bo5bo$216b2o$379bobo$68b3o311bo$68bo313bo$69bo87bo221bo2bo$151b2o3b
o223b3o$73b2o74b2o2bo2b3o64b2o$72b2o75b3o71b2o$74bo74bobo381b2o$145b4o
2bo379b2o2bo$77b2o66b3o3bo58b2o4bo230b2o82b3o$77bobo67bob2o59bobo3bo
229b3o82bobo$77bo68bo6bo57bo4bo229b2obo52bobo22b4o2bo$146b2o4bo294b3o
52b2o23b3o3bo$82bo65b3o297bo54bo25bob2o$81b2o61b2o88b2o292bo6bo$81bobo
60b2o87bobo292b2o4bo$144b2o87b2o295b3o$141b3o382b2o$85b3o47b2o4b3o382b
2o$85bo49b2ob2o386b2o$86bo48b3obo383b3o$135bo4bo376b2o4b3o$90b2o40b3o
2bo2bo99b2o253b2o20b2ob2o$89b2o41b2o3bo2bo99b2o253b2o20b3obo$91bo39bob
4o357bo2bo19bo4bo$131bo7bo351b2obo2bo16b3o2bo2bo$94b2o36bo5bo88b2o268b
o16b2o3bo2bo$94bobo130bobo2b3o254b2o3bo2bo15bob4o$94bo133bo260b2o5bo
16bo7bo$490bob5o17bo5bo$99bo391bo$98b2o151b2o$98bobo149bobo316bo$206bo
43b2o236b3o77b2o$205bo282bo24bo53bo$102b3o100b3o278b2o25b2o50b3ob2o$
102bo377b2o4bo25bobo49b2obo3bo$103bo376b3o3bo26bo49bob3o$478bo4bo24bo
53b2obobob2o$107b2o148b2o219bo3bo24b3o53bob2obo$106b2o149b2o223bo80bo$
108bo368b2obobo128b2o$475b2o5bo79bo5bo41bo2bo$111b2o131b2o4bo224b2o4b
2o79bo4bo41b2o2bo$111bobo130bobo3bo226b4o80bo2bo44bo2b3o$111bo133bo4bo
259b2o48bo45b2obo2b3o$511bo42bo3b2o45b2o5b2o$116bo393bo42b4o55b2o$115b
2o151b2o282bo7bo44b2ob5o$115bobo149bobo242bo38b5o51b5o$267b2o240bo41bo
bobo$509bo2bo37b5o4bo45bo$119b3o386b3o38bo5bo2bo45b2o$119bo388b3o37b2o
bo2bo49bo$120bo387bo2bo39bo2bo47b2o$509bobo40bo43bobo2b2o$124b2o148b2o
233b3o83b2obo$123b2o149b2o319bo3bo$125bo472b2o$539b2o52b3o2b2o$128b2o
131b2o135b2o140b2o50b2o4b2o$128bobo130bobo2b3o129b3o138bo51bo6b2o$128b
o102b3o28bo134bob2o190bo2b5o$230bo166b3o192b6o$133bo95bo2b2o164bo105b
2o88b2o$132b2o93b2obob2o51b2o215b2o2bo58b3o$132bobo91bo2bo2b2o50bobo
215b3o60bobo12b2o$226bo3bobo51b2o216bobo60b3o11b3ob2o$226bob2obo231bob
o32b4o2bo67b2o6b2ob3o$136b3o88bobo236bo31b3o3bo67b2o5b3ob2o$136bo90b4o
235bo33bob2o49b2o7b2o15b2o$137bo88b5o232bo2bo32bo6bo45bo2bo5bo2bo$201b
obo21b2o3bo233b3o32b2o4bo45b2o2bo4b2ob2o$141b2o58b2o21bo2bo63b2o208b3o
47bo2b3o4bobo$140b2o60bo20bo2bo64b2o204b2o49b2obo2b3o5bo$142bo79bo274b
2o48b2o5b2o$195b2o19b3o2b2obo272b2o55b2o$145b2o47bo2bo17bo3b3obo54b2o
4bo209b3o50b2ob5o$145bobo45b2o2bo17bo2bob2o56bobo3bo203b2o4b3o52b5o$
145bo47bo2b3o15bobob4o57bo4bo203b2ob2o$190b2obo2b3o14bobobo2b3o265b3ob
o54bo$150bo38b2o5b2o14bo5bo269bo4bo52b2o$149b2o45b2o14bob4o84b2o181b3o
2bo2bo52bo$149bobo37b2ob5o15bob3o84bobo181b2o3bo2bo50b2o$191b5o105b2o
181bob4o48bobo2b2o$484bo7bo44b2obo$153b3o33bo295bo5bo45bo3bo$153bo34b
2o28bo321b2o$154bo33bo25b2o4bo314b3o2b2o$186b2o26b3o4bo312b2o4b2o$158b
2o20bobo2b2o25b2o7bo86b2o223bo6b2o$157b2o20b2obo29b2o2b2o3bobo84b2o
223bo2b5o$159bo19bo3bo27bo7b2o313b6o$182b2o27bob2o3b2ob2o313b2o$162b2o
13b3o2b2o27b5o3bo2bo72b2o$162bobo11b2o4b2o33b3obo73bobo2b3o$162bo12bo
6b2o23b3o10bo75bo$175bo2b5o$167bo8b6o29bo373bobo$166b2o10b2o31bo107b2o
264b2o$166bobo42bo106bobo265bo$318b2o295b2o$213b2o399bo2bo$170b3o40b2o
398b2o2bo$170bo351b2o89bo2b3o$171bo349b3o86b2obo2b3o$521b2obo84b2o5b2o
$175b2o148b2o195b3o91b2o$174b2o108b3o38b2o196bo85b2ob5o$176bo109bo324b
5o$285bo$179b2o31bo105bo290bo$179bobo29b3o32b2o70bo289b2o$179bo34bo32b
2o69bo289bo$211b2ob2o30bo66bo292b2o$184bo25b2ob2o98bo286bobo2b2o$183b
2o25b2ob2o98bo22b2o240bo20b2obo$183bobo25bo2bo120bobo239b2o20bo3bo$
212b3o120b2o239bo25b2o$212b2o201bobo156b3ob2o17b3o2b2o$187b3o224bo158b
2obo3bo15b2o4b2o$187bo226bo157bob3o18bo6b2o$188bo225bo2bo153b2obobob2o
15bo2b5o$414b3o155bob2obo18b6o$192b2o148b2o228bo25b2o$191b2o149b2o318b
o$193bo377bo5bo5b2o76b2o$571bo4bo5bo77bo$196b2o284b2o86bo2bo14b2obo66b
3ob2o$196bobo135b3o145b3o84bo21bo65b2obo3bo$196bo284bob2o78bo3b2o13bo
2bob5o64bob3o$481b3o78b4o17b3o2b2o65b2obobob2o$201bo20b2o105b3o150bo
78bo7bo15bobo68bob2obo$200b2o20b2o129b2o205b5o22b2obo65bo$200bobo149bo
bo205bobobo24bobo112b2o$352b2o205b5o4bo16b2o2bo2bo62bo5bo41bo2bo$558bo
5bo2bo21bo2bo62bo4bo41b2o2bo$204b3o350b2obo2bo24bo2bo62bo2bo44bo2b3o$
204bo11bo343bo2bo24bo2bo61bo45b2obo2b3o$205bo10bo344bo26b3o56bo3b2o45b
2o5b2o$215bobo10b2o416b4o55b2o$212b6o8bo2bo7b2o120b2o284bo7bo44b2ob5o$
229bo129b2o283b5o51b5o$226bobo415bobobo$212b2o13bo3b2o7bo402b5o4bo45bo
$213bo3bo12b2o2b3o3bo111bo289bo5bo2bo45b2o$227bo12bo111bo288b2obo2bo
49bo$214bo4bo7bobo122bo291bo2bo47b2o$215b2obo8b2o118bo297bo43bobo2b2o$
217b2o3b2o15b2o106bo340b2obo$221b2o16b2o106bo22b2o316bo3bo$221bo147bob
o277b2o40b2o$369b2o277bo2bo34b3o2b2o$647b2ob2o33b2o4b2o$614b2o33bo34bo
6b2o$615b2o67bo2b5o$614bo70b6o$235b2o450b2o$235b2o139b2o208b2o$376b2o
207bo2bo$584b2o2bo$256b2o326bo2b3o$256bobo322b2obo2b3o106bo$257bo110b
3o167bobo39b2o5b2o57b2o46b2obo$541bo45b2o56bo2bo45b2o$541bo38b2ob5o56b
2o2bo$257bo105b3o172bo2bo40b5o57bo2b3o$245b2o10bo129b2o150b3o99b2obo2b
3o48b3o$244bobo10bo128bobo191bo59b2o5b2o$244b2o140b2o191b2o66b2o49b2o$
579bo60b2ob5o$577b2o63b5o21bobo$571bobo2b2o89b2o2b2o$570b2obo66bo26bo
2b2o8bobo$252b2o316bo3bo64b2o24bo3b2o9b2o$252b2o139b2o178b2o64bo29bo
11bo$393b2o173b3o2b2o62b2o28b2o$567b2o4b2o56bobo2b2o$273b2o291bo6b2o
55b2obo$273bobo110bo44b2o133bo2b5o56bo3bo$274bo111bo43b3o134b6o60b2o$
386bo43b2obo135b2o57b3o2b2o$381bo49b3o193b2o4b2o$381bo50bo193bo6b2o$
262b2o9b3o105bo22b2o220bo2b5o$261bobo139bobo221b6o$261b2o140b2o224b2o$
499bobo99b2o$498bo101b3o$498bo101b2obo$498bo2bo99b3o$269b2o227b3o101bo
$269b2o139b2o$410b2o$708b2o$290b2o415bo2bo$290bobo413b2o2bo$291bo110b
3o301bo2b3o$703b2obo2b3o$702b2o5b2o$291bo105b3o309b2o$279b2o10bo129b2o
279b2ob5o$278bobo10bo128bobo281b5o$278b2o140b2o$702bo$701b2o$701bo$
699b2o$286b2o405bobo2b2o$286b2o139b2o242bo20b2obo$427b2o241b2o20bo3bo$
669bo6bo18b2o$307b2o358b3ob2o3bobo11b3o2b2o$307bobo110bo245b2obo3bo2b
2o11b2o4b2o$308bo111bo244bob3o18bo6b2o$420bo243b2obobob2o15bo2b5o$415b
o249bob2obo18b6o$415bo249bo25b2o$296b2o9b3o105bo22b2o$295bobo139bobo
224bo5bo23b2o$295b2o140b2o225bo4bo$663bo2bo$662bo63b3o$557b2o97bo3b2o
63bo$557b3o95b4o65bo2b2o$303b2o146b2o103bob2o94bo7bo30bo28b2obob2o$
303b2o146b2o103b3o94b5o34bo28bo2bo2b2o$557bo95bobobo34bo3b2o23bo3bobo$
445b2o205b5o4bo30b2o2b3o22bob2obo$324b2o119b3o203bo5bo2bo31bob2obo24bo
bo$324bobo323b2obo2bo34b4o2bo24b4o$325bo110b3o10bo203bo2bo34bo4bo24b5o
$449bo204bo36b3obo24b2o3bo$447b2obo240b3o25bo2bo$325bo105b3o12bo6b2obo
239b2o20bo2bo$313b2o10bo120bo2bo3bo3bo230b3o5b2o19bo$312bobo10bo121bob
ob4o256b3o2b2obo$312b2o134b4o2bo2bo252bo3b3obo$449b3o3b2o234b2o17bo2bo
b2o$448bo2bo239b2o16bobob4o$708bobobo2b3o$707bo5bo$320b2o385bob4o$320b
2o148b2o235bob3o$470b2o2$341b2o274bobo$341bobo171b2o103bo$342bo171b3o
103bo$514b2obo99bo2bo68b2o$515b3o100b3o69b2o$516bo162b2o8bo$330b2o9b3o
334bo2bo$329bobo134b2o209b2o2bo3b2o$329b2o135b2o209bo2b3o2bo2b2o$674b
2obo2b3o3bo2bo$673b2o5b2o4b3o$680b2o$673b2ob5o$337b2o336b5o$337b2o148b
2o$487b2o184bo$672b2o$358b2o312bo$358bobo309b2o$359bo304bobo2b2o$663b
2obo$663bo3bo$359bo306b2o$347b2o10bo301b3o2b2o$346bobo10bo123b2o175b2o
4b2o$346b2o135b2o174bo6b2o$659bo2b5o$660b6o$662b2o2$354b2o$354b2o148b
2o$504b2o2$375b2o$375bobo$376bo197bobo$573bo$573bo$573bo2bo$364b2o9b3o
195b3o$363bobo134b2o$363b2o135b2o5$371b2o$371b2o148b2o$521b2o2$392b2o$
392bobo$393bo3$393bo$381b2o10bo$380bobo10bo123b2o$380b2o135b2o$531bobo
102b2o$534bo101b3o$534bo100bob2o$531bo2bo100b3o$388b2o142b3o101bo$388b
2o148b2o162bobo$538b2o165bo$705bo$409b2o291bo2bo$409bobo291b3o$410bo4$
398b2o9b3o$397bobo134b2o$397b2o135b2o5$405b2o$405b2o148b2o$555b2o2$
426b2o$426bobo$427bo3$427bo$415b2o10bo$414bobo10bo$414b2o3$590b2o$589b
3o$422b2o165b2obo$422b2o148b2o16b3o$572b2o17bo2$443b2o$443bobo$444bo4$
432b2o9b3o$431bobo$431b2o5$439b2o$439b2o148b2o$589b2o2$460b2o191bobo$
460bobo189bo$461bo190bo$652bo2bo$652b3o$461bo$449b2o10bo259b2o$448bobo
10bo259b3o$448b2o270bob2o$720b3o$721bo3$456b2o$456b2o3$477b2o$477bobo$
478bo4$466b2o9b3o$465bobo$465b2o5$473b2o$473b2o3$494b2o$494bobo$495bo
3$495bo$483b2o10bo$482bobo10bo$482b2o5$490b2o$490b2o3$511b2o$511bobo$
512bo4$500b2o9b3o$499bobo$499b2o$669b2o$668b3o$668b2obo$669b3o$507b2o
161bo$507b2o229bobo$737bo$737bo$528b2o207bo2bo$528bobo206b3o$529bo3$
529bo$517b2o10bo$516bobo10bo$516b2o5$524b2o$524b2o3$545b2o$545bobo$
546bo4$534b2o9b3o$533bobo$533b2o5$541b2o$541b2o3$562b2o$562bobo$563bo
3$563bo$551b2o10bo$550bobo10bo$550b2o5$558b2o$558b2o3$579b2o104bobo$
579bobo106bo$580bo107bo$685bo2bo$686b3o2$568b2o9b3o172b2o$567bobo183b
3o$567b2o184b2obo$754b3o$755bo3$575b2o$575b2o3$596b2o$596bobo$597bo3$
597bo$585b2o10bo$584bobo10bo$584b2o5$592b2o$592b2o3$613b2o$613bobo$
614bo4$602b2o9b3o$601bobo$601b2o5$609b2o$609b2o3$630b2o$630bobo$631bo
3$631bo$619b2o10bo$618bobo10bo$618b2o$704b2o$704b3o$703bob2o$703b3o$
626b2o76bo$626b2o142bobo$773bo$773bo$647b2o121bo2bo$647bobo121b3o$648b
o4$636b2o9b3o$635bobo$635b2o5$643b2o$643b2o3$664b2o$664bobo$665bo3$
665bo$653b2o10bo$652bobo10bo$652b2o5$660b2o$660b2o3$681b2o$681bobo$
682bo4$670b2o9b3o$669bobo$669b2o5$677b2o$677b2o3$698b2o21bobo$698bobo
19bo$699bo20bo$720bo2bo$720b3o$699bo$687b2o10bo89b2o$686bobo10bo89b3o$
686b2o100bob2o$788b3o$789bo3$694b2o$694b2o3$715b2o$715bobo$716bo4$704b
2o9b3o$703bobo$703b2o5$711b2o$711b2o9$721b2o$720bobo$720b2o$733bo$732b
obo$732bobo$733bo$728b2o$728b2o9$738b2o$737bobo$737b2o$750bo$749bobo$
749bobo$750bo$745b2o$745b2o59bobo$805bo$805bo$805bo2bo$805b3o5$755b2o$
754bobo$754b2o$767bo$766bobo$766bobo$767bo$762b2o$762b2o9$772b2o$771bo
bo$771b2o$784bo$783bobo$783bobo$784bo$779b2o$779b2o9$789b2o$788bobo$
788b2o$801bo$800bobo$800bobo$801bo$796b2o$796b2o9$806b2o14b2o$805bobo
13b3o$805b2o14b2obo$818bo3b3o$817bobo3bo$817bobo$818bo$813b2o$813b2o9$
823b2o$822bobo$822b2o!

I think the above method can be used to make c/5 diagonal rakes of all periods greater than or equal to 85.

Here is another c/5 diagonal rake design that is smaller and cleaner, but has a minimum period of 235:

Code: Select all

x = 333, y = 315, rule = B3/S23
195bo$194b2o$193bo$191b3ob2o$190b2obo3bo$189bob3o$188b2obobob2o$189bob
2obo$189bo$237b2o$188bo5bo41bo2bo$188bo4bo41b2o2bo$187bo2bo44bo2b3o$
186bo45b2obo2b3o$180bo3b2o45b2o5b2o$179b4o55b2o$178bo7bo44b2ob5o$177b
5o51b5o49b2o$177bobobo105b2o$176b5o4bo45bo54bo2bo$175bo5bo2bo45b2o51b
2obo2bo$174b2obo2bo49bo58bo$20b2o155bo2bo47b2o51b2o3bo2bo$19bo2bo155bo
43bobo2b2o52b2o5bo$18b2o2bo198b2obo57bob5o$18bo2b3o197bo3bo57bo$15b2ob
o2b3o200b2o104b2o$14b2o5b2o196b3o2b2o102b2o2bo$21b2o195b2o4b2o54b3o45b
3o$14b2ob5o195bo6b2o54bo47bobo$16b5o119b3o74bo2b5o53b2o44b4o2bo$142bo
75b6o48b2o4bo45b3o3bo$14bo126bo78b2o50b3o3bo47bob2o$13b2o255bo4bo49bo
6bo$13bo256bo3bo50b2o4bo$11b2o261bo52b3o$5bobo2b2o257b2obobo48b2o$4b2o
bo172b2o85b2o5bo48b2o$4bo3bo171b2o85b2o4b2o48b2o$7b2o170bo2bo86b4o47b
3o$2b3o2b2o167b2obo2bo131b2o4b3o$b2o4b2o26bo146bo131b2ob2o$o6b2o26b2o
137b2o3bo2bo131b3obo$o2b5o26bobo137b2o5bo132bo4bo$b6o168bob5o129b3o2bo
2bo$3b2o171bo134b2o3bo2bo$310bob4o$310bo7bo$173b3o42b2o91bo5bo$173bo
43bobo$171b2o34b2o10bo$165b2o4bo35b2o$165b3o3bo$163bo4bo$18b3o142bo3bo
105b2o$18bo148bo103b2o2bo$19bo142b2obobo103b3o$160b2o5bo103bobo$160b2o
4b2o99b4o2bo$162b4o39b2o60b3o3bo$204bo2bo61bob2o$205b2o61bo6bo$268b2o
4bo$200bo40b2o27b3o$201b3o3bo32bo2bo22b2o$31bo167bo2bo2bobo31b2o2bo22b
2o$30b2o167bo3bo35bo2b3o21b2o$30bobo166b2o35b2obo2b3o18b3o$235b2o5b2o
13b2o4b3o$203b2o37b2o13b2ob2o$203b2o7bo22b2ob5o14b3obo$210b2o25b5o15bo
4bo$211b2o41b3o2bo2bo42bobo$235bo18b2o3bo2bo42b2o$234b2o17bob4o47bo$
234bo18bo7bo$232b2o20bo5bo$42b2o160b2o20bobo2b2o$42bobo159b2o19b2obo$
42bo160bo2bo18bo3bo$200b2obo2bo21b2o$206bo16b3o2b2o$198b2o3bo2bo15b2o
4b2o$198b2o5bo15bo6b2o$199bob5o15bo2b5o$200bo21b6o$224b2o$280b2o$197b
3o80b2o$54b2o141bo81bo2bo$53b2o140b2o79b2obo2bo$55bo133b2o4bo86bo$189b
3o3bo78b2o3bo2bo$187bo4bo81b2o5bo$187bo3bo83bob5o$191bo84bo$186b2obobo
$184b2o5bo$184b2o4b2o81b3o$186b4o83bo$271b2o$65b3o197b2o4bo$65bo199b3o
3bo$66bo196bo4bo$263bo3bo$267bo$262b2obobo$260b2o5bo$260b2o4b2o$262b4o
3$78bo$77b2o$77bobo6$213b2o$211b2o2bo$211b3o$211bobo$89b2o116b4o2bo$
89bobo115b3o3bo47b2o$89bo119bob2o48b2o$208bo6bo44bo2bo$208b2o4bo42b2ob
o2bo$210b3o50bo$206b2o47b2o3bo2bo$206b2o47b2o5bo$206b2o48bob5o$203b3o
51bo$197b2o4b3o$197b2ob2o$101b2o94b3obo52b3o$100b2o95bo4bo51bo$102bo
91b3o2bo2bo49b2o$194b2o3bo2bo22bo20b2o4bo$193bob4o25b2o20b3o3bo$193bo
7bo21bo20bo4bo$194bo5bo20b3ob2o17bo3bo$220b2obo3bo20bo$219bob3o19b2obo
bo$218b2obobob2o4bo9b2o5bo$219bob2obo4b3o9b2o4b2o$219bo10bo12b4o$112b
3o$112bo105bo5bo$113bo104bo4bo$217bo2bo$216bo$210bo3b2o$209b4o$208bo7b
o$207b5o$207bobobo$206b5o4bo$125bo79bo5bo2bo$124b2o78b2obo2bo$124bobo
80bo2bo$208bo9$136b2o179b3o$136bobo180bo$136bo181bo4$294bo$293bo$293b
3o3$233b2o$148b2o82bo2bo$147b2o82b2o2bo$149bo81bo2b3o$228b2obo2b3o$
227b2o5b2o$234b2o$227b2ob5o$229b5o2$227bo$226b2o$226bo$159b3o62b2o$
159bo58bobo2b2o$160bo56b2obo$217bo3bo$220b2o$215b3o2b2o$214b2o4b2o$
213bo6b2o$213bo2b5o$214b6o$216b2o$172bo$171b2o$171bobo10$183b2o$183bob
o$183bo5$249bo$247b2o$248b2o3$195b2o$194b2o$196bo$189bo$188b2o$187b3o
2$187bob3o$189b3o$188b2o$189bob2obo$188bo2b2o2bo$188bobo3bo11b3o$179bo
bo5bo5b2o5bo5bo$178b2o3bob2o12b2o6bo$177b3ob4o7bobo3b2o$181b2o3bo5bob
4o2bo$181b2ob2o6bob4obo$184b2o3b3o5b2obobo$187bo15b2o$184bob2ob3o10bo$
185bo4b2o4bo5bobo$190b2o3b2obobob2o$190b3o5bobo4b2o12bo$189bo2bo3b3o4b
obo12b2o$188b2obo9b3ob2o11bobo$187b2obobo3b2o2b2ob4o$199b3o3bo$192bob
3o2bo4bob2o$193bo2bob3o4b3o$193bobo4bobo4bobo$197b5obo7bo$197bob2ob2o
7b3o5bo$202b3o6b3o4bo$218bo2b2o$204bo10b3o5bo6b2o$210b2o3b3o2bo9bobo$
205b3o2b3o17bo$206b2o3b3ob2o$206b2o4bo4bo$217b2obo$209b2obo6bo9bo$209b
2obo7bo2bo3b3o$209b2o2b2o8b3obo$207b2o5bo9bo3bo$206bo8bo4b3obobo3b2o$
210bo3bobo2bo8bo3bo$208bo10bo2bo2bob2o4b2o7b2o$208bo10bobo5bo13b2o$
209bo6b2o8bo7bo8bo$217b3o15b3o$217bo3bo12bo2bo$219bo3bo11bobo$216b2o3b
2o15bo44bo$216bobob2o59b2o$215b2o65b2o$219bo$219bo$220bo$221bo31b3o$
221bobobo27bo$224bobo27bo$224bo$224b3o$227bo6$266bo$265b2o$265bobo3$
261b2o$261bobo$262bo5$277b2o$277bobo$277bo!

[Alexey_Nigin]

...one catch, though, and I think this is going to force me to abort the whole thing: I need to be able to make the rakes from a single glider (like in calcyman's glider-to-cordership converter... gah). I guess I'd be getting my hopes up a bit too much if I were to ask for a 20-or-so-glider-synthesis of this particular model? :s

Firstly, let me emphasize that your project is maybe a bit too close to impossible.

Secondly, corderrakes are definitely the best option for you because they are easy to synthesize.

Thirdly, the 6-engine Cordership requires 37 gliders, and your rake is bigger so it would probably require more. I would recommend you to find a better one. There used to be a large collection of corderstuff on pentadecathlon.com. This site is now down, but there must be a copy somewhere.

[dvgrn]

...one catch, though, and I think this is going to force me to abort the whole thing: I need to be able to make the rakes from a single glider (like in calcyman's glider-to-cordership converter... gah).

Ah, if you need a glider-constructible diagonal rake you're definitely stuck with using Corderships anyway. But don't get scared off too quickly by the old glider-to-Cordership converter. That kind of thing can be done a lot more efficiently nowadays...!

I guess I'd be getting my hopes up a bit too much if I were to ask for a 20-or-so-glider-synthesis of this particular model? :s

A glider synthesis of the simplest available (5-engine) Corderrake, you mean? Yes, that's probably a little too optimistic. It takes 20-or-so gliders to build half of a Corderrake:

Code: Select all

x = 433, y = 184, rule = B3/S23
36bo$37bo$35b3o14$305bobo$306b2o$306bo27$41bo$42bo$40b3o2$66bo$64bobo$
65b2o2$188bo$186b2o$187b2o2$147bobo$147b2o$148bo2$53bobo254bobo$54b2o
255b2o$54bo256bo$335bo$336b2o$335b2o$175bobo$57bo117b2o254bo$58bo117bo
253bo$56b3o371b3o$75bo$73bobo315bo$66bo7b2o315bobo$64bobo324b2o$65b2o$
325bo$149bo173bobo$147b2o175b2o$141bo6b2o$140bo$140b3o$419bo$47bo371bo
bo$48bo277bobo90b2o$46b3o278b2o$32bo294bo16bo$30bobo312b2o$31b2o302bo
8b2o$109bo226b2o$109bobo223b2o$109b2o34bo$143b2o247bo$144b2o245bo$391b
3o$384bobo$42bo341b2o$40bobo342bo$41b2o$115bo200bobo$115bobo199b2o$
115b2o185bo14bo$303bo$301b3o$42b2o309bo$42b2o308bo29bo$352b3o25b2o6bo$
381b2o4bo$387b3o$333bo$42b2o290bo$42b2o268bo19b3o$44bo5b2o261bo$42b3o
5b2o259b3o$41bobo263b2o50bo$42b2o263b2o49bo16bo$41bo316b3o14bobo$41bo
333b2o$37b2o$37b2obo281bo$37b3o13bo241b2o26b2o$37bo14b2o242b2o24b2o$
38b2o11bo3bo239b3o17b2o$40bo11b2o2bo239b3o16b2o$38bobo16bo238b2o7bo$
37b2o15bobo239b5o4bo$35bo3bo15bo239b4obo$32bo3bo18bo239bo2b2o$31bo3bo
19b2o238b4o$32b3o20b2o239bo3$38b2o$38b2o14bo$32b2o19bo$31bo21b2o248b3o
$32b2o21bo261b2o$54b3o246bobo11bobo$54b3o248b2o4bo5bobob2o$306b5obo8b
2o$8bo295b2o2b2obo6b2ob2o$7bo22bo275bo$7b3o20b2o$12bobo15bo2bo260b2o$
12bo2bo277b2ob2o$12bo2bo15bobo248b2o14b2o$10bo4b2o15bo248bo2bo11bo3bo$
10bo4bo264b2ob3o11b3o$11bo3bo264bo3bo$272b2o6b4o$23bo247b2obo6bo$8b2o
12b2o247bo2b2o$10bo10bo3bo244b2o2b2o9b2o$10bo11b2o2bo243bo14b2o$2o6bob
o16bo240b2o$2o5b2o15bobo237bobo2bo$9bo15bo231b2o4b2obo$25bo231b2o3b2o
2bo$25b2o236bo2bo$25b2o237b2o3$8b2o$8b2o14bo$23bo241b2o$23b2o240b2o6b
3o$25bo261b2o$24b3o34b2o210bobo11bobo$24b3o33bobo212b2o4bo5bobob2o$62b
o213b5obo8b2o$274b2o2b2obo6b2ob2o$276bo10$51bo$51b2o$50bobo!

... it turns out that p48 corder-rake streams actually do the job for me (I assume the smallest way to get said streams would be to use two rakes?).

Yes, but it's a little bit tricky. I don't think any of the known five-engine Corderrakes can insert their output into an existing p96 stream without causing ugly conflicts. So at least one of them has to be a special six-engine model:

Code: Select all

x = 179, y = 172, rule = B3/S23
148bo$145b4o2$162b3o2$148bobo12b2o$149bo13b2o$147b2o13bo2bo$147bo2bo
11bo8b2o$146b2ob2o10b3o7b2o$161b2o$164b2o$163bo2bo2$161b2o$161bo2bo$
162b3o$157bo14bo3bo$157b2o17b2o$155b2ob2o12bo5bo$151b2o4b2o9bo4b5o$
151b2o5bo9b2o6bo$157b2ob2o7b2o$139bobo14b3o10bo$139b3o18bo3b3obo$139b
2o15bo2bo4b3o$157b3o2$142bo$140bobo$140b3o12bo$143bo11bo$139b5o$135b2o
2$134bo3bo$139bo$132bo7bo$131bo4bo$132bobobo4bo$132bo8bo9b2o$133bo4b2o
bo9b2o$134bob2ob3o$135b3ob2o5$159b2o$159b2o5$142b2o$141bo2b2o$140b3o2b
o$133b2o5bo4bo$133b2o5b5o$120bobo6bobo9b2o$119bo9bobo$120bo2bo6bo$122b
3o3$111bo$97b2o7b2o2bobo$97b3o6b4o3bo$97b2obobo7bo$100b2o10bob2o$112bo
bo$113bo5$119bo23bo$117b5o20bo$122bo19b3o2$120b3o$117bo$111b3o4b2o$
102b2o5bo4bo8bo$102b2o6b2o2bo8bobo$110bo12b2o6$110b2o$110b2o2$73bo2$
77bo2$69b3obo$69b3obo$70bo8b2o28bo$71bo3b3ob2o27bobo$72bo6bo27b2ob2o$
73bobobobo28bo2bo$74bo15b2o18b3o$90b2o18bobo$111b2o$111b2o$74bobo50bo$
76bo49bo$126b3o$75bo$72bobo2b2o19b2o$72bo5b2o18b2o$79bo$56bo$56bo17b2o
$56bob3o13b2o$58b3o$59bo22bo4bo$59b2o5b2o13bo8bo$60bo5b2o16bo2bo$60b2o
4b2o14bo3bo4bo$81b2o$57b2ob2o18b2o2bo5bo9b2o17bo$58b3o19b2o3bo13bobo
16bo$44b2o3b4o5bo28bo13bo16b3o$39b3obo2bo6bo19bo3bo$43bo2bo2b5o18bobob
obo$43bo2bo26bo3bo$45bo26b7o$25bo16bobo$24b3o16bo29bo3bo$24bo2bo47bo$
24b3o48bo$24b3o$23bob2obo$24bo2b3o$24b4ob2o$b3o21bob3o$bo2bo22b3o38b2o
41bo$4bo23b2o37bobo40bo$b2o15b2o18b2o29bo40b3o$obo15b2o4b2o12bo2b2o$bo
2b3o17b2o$2b2o2bo15bo2bobo$2bo3bo15b3o2bo$3bobo10bobo3b2o$5bo12bo$2bo
2bo16bo34bo$2bo13b3o27b2o9bo$17b2o27b2o$b2o2bo11b2o$2b3o13b2o$19bo$57b
o$17bo39bo45bo$16bobo83bo$16bo85b3o$15bo3b2o$16bo2b2o$16bo$6b2o$6b2o7b
2o2b2o$15b6o$18bo5$14b2o$14b2o!

Is the above really a workable glider stream for your project, and a p96 stream isn't?

That 11-engine monstrosity probably has a 45-glider recipe, or maybe 50-55 gliders for a construction with two 90-degree salvos. Reducing the number of salvos might make it easier to build a glider-to-Corderrake converter.

[praosylen]

Useless C-to-G that runs into one of the catalysts:

Code: Select all

x = 17, y = 17, rule = LifeHistory
7.2C$7.C$4.BC.C$.B.BC.C$2C3BC7.2C$2CB.3B6.C$.B3.2B3.BC.C$3.6B.B2C$3.
8B$3.7B$.11B$.6BC5B.2C$2.4B3C5B.C$2.3B2C4B3.C$.9B3.C$2.5B7.3C$3.4B9.C
!

A useless pre-TL to pre-TL converter:

Code: Select all

x = 16, y = 11, rule = LifeHistory
9.2C$2.2C4.B2CB$2.C2.CB.3B$3.3CB2.B4.B$C5.2B3CB.B2C$4C4BCBC3B2C$4.C.
2B3C2B.B$2.2C4.3D$2.C5.DBD$3.C4.3D$2.2C!

[Billabob]

A small pattern that produces a surprisingly big explosion:

Code: Select all

x = 8, y = 5, rule = B3/S23
3b2o$3b2o$2bo2bo$2ob2ob2o$2ob2ob2o!

[HartmutHolzwart]

One last question: Are there any low-period diagonal rakes? jslife's got nothing and I'm not sure where else to search.

I'm kind of surprised I can't find any c/4 ones, come to think of it. Jason's Life Status collection has diagonal c/4 puffers with periods high enough that it seems as if a reasonably low-period rake might show up. But offhand I can only see the various high-period ones.

So far, all known c/4 diagonal rakes are very high-period. All known c/4 diagonal rakes are based on burning a boat wick and then carefully manipulating the output. The reason for the high period is that it takes a long time to position the gliders to trigger the burning reaction. An example can be seen in the Golly pattern collection (c4-sideways-rake.rle in the rakes folder).

The only low-period c/4 diagonal puffer is this p28 "engine-based" one by Hartmut Holzwart:

Code: Select all

x = 26, y = 36, rule = B3/S23
10b3o$10bo$11bo$13b2o$14bo2$11bo$8b4obo$8bo4bo$9bo4b2o$11bo2b3o$15b2o$
12b2ob2o$12b2ob2o$10b2o3b2obobo$9b2o4bo3bo$10b2ob3o6bo$7b5ob2o6bobo$6b
2o3bob2o7bo$8bob2o$11bo2$11bo12bo$4bo5b3o10bobo$3b2o5bo12bobo$3bobo7b
2o9bo$8b3o3b2o$bo4b5o2bo$2o3b3o$obo3bo2$3b2o$2b3o2$b2o$bo!

I think maybe the lowest known period for a diagonal rake is 96, using Cordership technology (?!?).

Actually, the lowest period for a diagonal rake is 85 (it travels at c/5 diagonally):

Code: Select all

x = 825, y = 1013, rule = B3/S23
214b3o$213bo$212bo2b2o$210b2obob2o$209bo2bo2b2o$209bo3bobo$209bob2obo$
210bobo$210b4o43b2o$209b5o43b2o$208b2o3bo42bo2bo$207bo2bo42b2obo2bo$
206bo2bo49bo$205bo45b2o3bo2bo$199b3o2b2obo43b2o5bo$198bo3b3obo45bob5o
61b2o$198bo2bob2o48bo65bo2bo$197bobob4o113b2o2bo$196bobobo2b3o112bo2b
3o$195bo5bo48b3o62b2obo2b3o$195bob4o49bo63b2o5b2o$195bob3o48b2o71b2o$
242b2o4bo65b2ob5o$21bo220b3o3bo67b5o$20b2o218bo4bo116b3o$19bo220bo3bo
69bo46bo$17b3ob2o166b3o52bo68b2o45bo2b2o$16b2obo3bo167bo47b2obobo68bo
44b2obob2o$15bob3o170bo46b2o5bo66b2o44bo2bo2b2o$14b2obobob2o214b2o4b2o
60bobo2b2o45bo3bobo$15bob2obo130b2o86b4o61b2obo49bob2obo$15bo136b2o
150bo3bo49bobo$151bo61b3o91b2o49b4o$14bo5bo281b3o2b2o48b5o$14bo4bo93b
2o102bo83b2o4b2o47b2o3bo$13bo2bo95bobo96bo5bo12b2o2bo65bo6b2o46bo2bo$
12bo101bo86bo8b3o4bo11b3o2b2o64bo2b5o46bo2bo$6bo3b2o188b2o8b3o7b2o8b2o
2b3o64b6o46bo$5b4o66bo123bo7bo12b2o8b2o2b2o67b2o42b3o2b2obo$4bo7bo62b
2o120b3ob2o4bo138bo3b3obo$3b5o66bobo119b2obo3bo3b4o135bo2bob2o$3bobobo
187bob3o9bob3o94b3o34bobob4o$2b5o4bo182b2obobob2o7b3obo93b3obo31bobobo
2b3o$bo5bo2bo25b3o156bob2obo10bo2bo61b2o35bo29bo5bo$2obo2bo31bo156bo
11b2o3bo62bobo35b2o28bob4o$3bo2bo30bo170bobobo64bo34b2o29bob3o$4bo189b
o5bo8b3o100bo$12bo181bo4bo10bo27bo$11b2o180bo2bo41b2o237b2o$11bobo178b
o34b2o8bobo238b2o$186bo3b2o35b2o248bo$185b4o$15b3o166bo7bo113b2o131b2o
$15bo167b5o116b2o2bo129bobo$16bo166bobobo116b3o133bo$182b5o4bo112bobo$
20b2o159bo5bo2bo109b4o2bo17b2o75bo$19b2o159b2obo2bo113b3o3bo17b2o75b2o
$21bo161bo2bo38b2o75bob2o24b2o68bobo$184bo39bo2bo73bo6bo21b2o$24b2o
199b2o74b2o4bo$24bobo276b3o22b2o32b3o$24bo194bo79b2o26b3o34bo$219bob2o
3bo72b2o26bo2bo32bo$29bo191b2obo2b2o70b2o19bo6b2obo$28b2o189b2o3bo71b
3o20bobo6b2o9bo$28bobo188b2o69b2o4b3o20bobo16bo$290b2ob2o25bo17b3o$
223b2o65b3obo$32b3o188b2o6bo58bo4bo19b2o7b2o$32bo198bobo53b3o2bo2bo18b
o2bo5bo2bo$33bo197b2o54b2o3bo2bo19b2o7b2o$286bob4o$37b2o247bo7bo25bo$
36b2o249bo5bo25bobo$38bo280bobo13bobo$320bo$41b2o292bo3bo$41bobo292bo$
41bo295b2o2$46bo$45b2o$45bobo$366b3o$365bo$49b3o312bo2b2o$49bo291b2o
19b2obob2o$50bo292bo17bo2bo2b2o$340bo3bo16bo3bobo$54b2o305bob2obo$53b
2o287bobo17bobo$55bo306b4o$361b5o$58b2o300b2o3bo$58bobo298bo2bo$58bo
299bo2bo$357bo$63bo287b3o2b2obo$62b2o265b2o19bo3b3obo$62bobo263bo2bo
18bo2bob2o$327b2o2bo17bobob4o$327bo2b3o15bobobo2b3o$66b3o255b2obo2b3o
14bo5bo$66bo256b2o5b2o2bobo10bob4o$67bo262b2o2b2o11bob3o$323b2ob5o4bo$
71b2o155bo96b5o$70b2o154b2o183b2o$72bo154b2o94bo87b2o$322b2o86bo2bo$
75b2o245bo84b2obo2bo$75bobo242b2o91bo$75bo238bobo2b2o84b2o3bo2bo$313b
2obo88b2o5bo$80bo232bo3bo88bob5o$79b2o235b2o89bo$79bobo229b3o2b2o136b
2o$310b2o4b2o36b2o96b2o2bo$309bo6b2o35bo2b2o46b3o45b3o$83b3o223bo2b5o
36b2ob2o46bo47bobo$83bo226b6o86b2o44b4o2bo$84bo227b2o38b3o2b2o37b2o4bo
45b3o3bo$357bo38b3o3bo47bob2o$88b2o260b2o4b2o36bo4bo49bo6bo$87b2o260bo
3b4o37bo3bo50b2o4bo$89bo259b7o42bo52b3o$351bo41b2obobo48b2o$92b2o297b
2o5bo48b2o$92bobo256b2o38b2o4b2o48b2o$92bo258b2o40b4o47b3o$438b2o4b3o$
97bo340b2ob2o$96b2o340b3obo$96bobo290b2o47bo4bo$390b2o43b3o2bo2bo$389b
o45b2o3bo2bo$100b3o331bob4o$100bo250b2o81bo7bo$101bo248bobo82bo5bo$
352bo$105b2o230b3o72bo$104b2o230bo75bo$106bo228bo2b2o4b2o83bo3bo$333b
2obob2o3b3o62b4o15bo2bob3o$109b2o112bo108bo2bo2b2o6b3o58bo6b3o13bobobo
$109bobo110bo109bo3bobo5bo2bo48b2o8bo3bo17bo$109bo112b3o107bob2obo5b2o
b3o45b2o2bo10b2o7b2o7b2o$333bobo8b2o48b3o8b2o3bo7b2o8bobo3bo$114bo218b
4o8bo2b2o44bobo7b2o2b3o17bobo$113b2o217b5o9b3o41b4o2bo3bo2bo2b2ob2o$
113bobo215b2o3bo10bo42b3o3bo5b3ob2o2b3o$330bo2bo58bob2o6bo3b2obobobo$
329bo2bo58bo6bo7bo2b2o2bo$117b3o208bo62b2o4bo8bo4b3o$117bo204b3o2b2obo
62b3o10bo3b2o$118bo202bo3b3obo59b2o16bo3bo$321bo2bob2o61b2o17bobo$122b
2o196bobob4o61b2o18bo$121b2o196bobobo2b3o57b3o$123bo194bo5bo55b2o4b3o$
318bob4o56b2ob2o$126b2o190bob3o57b3obo$126bobo251bo4bo$126bo250b3o2bo
2bo$377b2o3bo2bo$131bo244bob4o$130b2o244bo7bo$130bobo244bo5bo3$134b3o$
134bo$135bo2$139b2o$138b2o$140bo317b2o$456b2o2bo$143b2o311b3o$143bobo
310bobo$143bo283bobo22b4o2bo$427b2o23b3o3bo$148bo279bo25bob2o$147b2o
69bobo232bo6bo$147bobo68b2o233b2o4bo$219bo235b3o$451b2o$151b3o297b2o$
141b2o8bo299b2o$141b2o9bo295b3o$140bo2bo298b2o4b3o$137b2obo2bo12b2o
262b2o20b2ob2o$143bo11b2o263b2o20b3obo$135b2o3bo2bo13bo261bo2bo19bo4bo
$135b2o5bo273b2obo2bo16b3o2bo2bo$136bob5o17b2o260bo16b2o3bo2bo$137bo
22bobo251b2o3bo2bo15bob4o$160bo253b2o5bo16bo7bo$415bob5o17bo5bo$134b3o
28bo250bo$134bo29b2o$132b2o30bobo$39b2o85b2o4bo280b3o70b2o$37b2o2bo84b
3o3bo280bo24bo47b2o$37b3o84bo4bo38b3o240b2o25b2o45bo2bo$37bobo84bo3bo
39bo194b2o40b2o4bo25bobo42b2obo2bo$33b4o2bo88bo40bo192b3o40b3o3bo26bo
49bo$33b3o3bo83b2obobo233b2obo37bo4bo24bo46b2o3bo2bo$35bob2o82b2o5bo
44b2o188b3o37bo3bo24b3o45b2o5bo$34bo6bo79b2o4b2o43b2o190bo42bo73bob5o$
34b2o4bo82b4o47bo227b2obobo74bo$36b3o361b2o5bo121b2o$32b2o143b2o221b2o
4b2o119b2o2bo$32b2o92b2o49bobo222b4o73b3o45b3o$32b2o91bobo49bo257b2o
42bo47bobo$29b3o95bo308bo40b2o44b4o2bo$23b2o4b3o150bo252bo35b2o4bo45b
3o3bo$23b2ob2o60bo92b2o288b3o3bo47bob2o$23b3obo60b2o91bobo253bo31bo4bo
49bo6bo$23bo4bo58bobo344bo34bo3bo50b2o4bo$20b3o2bo2bo405bo2bo35bo52b3o
$20b2o3bo2bo185bo218b3o32b2obobo48b2o$19bob4o24b3o116bo45bobo216b3o30b
2o5bo48b2o$19bo7bo23bo114b4o44b2o217bo2bo29b2o4b2o48b2o$20bo5bo23bo
114b2o3b2o262bobo31b4o47b3o$127b2o39bo3bo17b2o242b3o76b2o4b3o$31bo93b
2o2bo38bo3bo16bo2bo320b2ob2o$30b2o93b3o40bo2b2o16bobo321b3obo$30bobo
92bobo38bo3bo17b2o274b2o47bo4bo$121b4o2bo34bo25bo2b2o272b2o43b3o2bo2bo
$121b3o3bo32b2o25b2ob3o271bo45b2o3bo2bo$34b3o86bob2o34b2o24bo5bo315bob
4o$34bo87bo6bo61bobo315bo7bo$35bo86b2o4bo300b2o79bo5bo$124b3o58b2o5bo
234b2o2bo$39b2o79b2o63b2obob2o235b3o57bo$38b2o80b2o63bo2bo238bobo57bo$
40bo79b2o65b2o234b4o2bo74bo3bo$117b3o68b2o233b3o3bo53b4o15bo2bob3o$43b
2o66b2o4b3o61b2o4b3o235bob2o53bo6b3o13bobobo$43bobo65b2ob2o65b2o4b2o
235bo6bo39b2o8bo3bo17bo$43bo67b3obo308b2o4bo38b2o2bo10b2o7b2o7b2o$111b
o4bo309b3o40b3o8b2o3bo7b2o8bobo3bo$48bo59b3o2bo2bo305b2o45bobo7b2o2b3o
17bobo$47b2o59b2o3bo2bo83b2o220b2o41b4o2bo3bo2bo2b2ob2o$47bobo57bob4o
86bobo220b2o41b3o3bo5b3ob2o2b3o$107bo7bo82bobo218b3o45bob2o6bo3b2obobo
bo$108bo5bo298b2o4b3o44bo6bo7bo2b2o2bo$51b3o359b2ob2o48b2o4bo8bo4b3o$
51bo141bo219b3obo50b3o10bo3b2o$52bo138b2o220bo4bo45b2o16bo3bo$410b3o2b
o2bo45b2o17bobo$56b2o148b2o202b2o3bo2bo45b2o18bo$55b2o141bo7b2o201bob
4o46b3o$57bo139bobo209bo7bo37b2o4b3o$197bo2bo209bo5bo38b2ob2o$60b2o
131b2o4bo255b3obo$60bobo130bobo2b2o255bo4bo$60bo133bo257b3o2bo2bo$211b
o240b2o3bo2bo$65bo143b2o240bob4o$64b2o144b2o5b2o232bo7bo$64bobo149bobo
233bo5bo$216b2o$379bobo$68b3o311bo$68bo313bo$69bo87bo221bo2bo$151b2o3b
o223b3o$73b2o74b2o2bo2b3o64b2o$72b2o75b3o71b2o$74bo74bobo381b2o$145b4o
2bo379b2o2bo$77b2o66b3o3bo58b2o4bo230b2o82b3o$77bobo67bob2o59bobo3bo
229b3o82bobo$77bo68bo6bo57bo4bo229b2obo52bobo22b4o2bo$146b2o4bo294b3o
52b2o23b3o3bo$82bo65b3o297bo54bo25bob2o$81b2o61b2o88b2o292bo6bo$81bobo
60b2o87bobo292b2o4bo$144b2o87b2o295b3o$141b3o382b2o$85b3o47b2o4b3o382b
2o$85bo49b2ob2o386b2o$86bo48b3obo383b3o$135bo4bo376b2o4b3o$90b2o40b3o
2bo2bo99b2o253b2o20b2ob2o$89b2o41b2o3bo2bo99b2o253b2o20b3obo$91bo39bob
4o357bo2bo19bo4bo$131bo7bo351b2obo2bo16b3o2bo2bo$94b2o36bo5bo88b2o268b
o16b2o3bo2bo$94bobo130bobo2b3o254b2o3bo2bo15bob4o$94bo133bo260b2o5bo
16bo7bo$490bob5o17bo5bo$99bo391bo$98b2o151b2o$98bobo149bobo316bo$206bo
43b2o236b3o77b2o$205bo282bo24bo53bo$102b3o100b3o278b2o25b2o50b3ob2o$
102bo377b2o4bo25bobo49b2obo3bo$103bo376b3o3bo26bo49bob3o$478bo4bo24bo
53b2obobob2o$107b2o148b2o219bo3bo24b3o53bob2obo$106b2o149b2o223bo80bo$
108bo368b2obobo128b2o$475b2o5bo79bo5bo41bo2bo$111b2o131b2o4bo224b2o4b
2o79bo4bo41b2o2bo$111bobo130bobo3bo226b4o80bo2bo44bo2b3o$111bo133bo4bo
259b2o48bo45b2obo2b3o$511bo42bo3b2o45b2o5b2o$116bo393bo42b4o55b2o$115b
2o151b2o282bo7bo44b2ob5o$115bobo149bobo242bo38b5o51b5o$267b2o240bo41bo
bobo$509bo2bo37b5o4bo45bo$119b3o386b3o38bo5bo2bo45b2o$119bo388b3o37b2o
bo2bo49bo$120bo387bo2bo39bo2bo47b2o$509bobo40bo43bobo2b2o$124b2o148b2o
233b3o83b2obo$123b2o149b2o319bo3bo$125bo472b2o$539b2o52b3o2b2o$128b2o
131b2o135b2o140b2o50b2o4b2o$128bobo130bobo2b3o129b3o138bo51bo6b2o$128b
o102b3o28bo134bob2o190bo2b5o$230bo166b3o192b6o$133bo95bo2b2o164bo105b
2o88b2o$132b2o93b2obob2o51b2o215b2o2bo58b3o$132bobo91bo2bo2b2o50bobo
215b3o60bobo12b2o$226bo3bobo51b2o216bobo60b3o11b3ob2o$226bob2obo231bob
o32b4o2bo67b2o6b2ob3o$136b3o88bobo236bo31b3o3bo67b2o5b3ob2o$136bo90b4o
235bo33bob2o49b2o7b2o15b2o$137bo88b5o232bo2bo32bo6bo45bo2bo5bo2bo$201b
obo21b2o3bo233b3o32b2o4bo45b2o2bo4b2ob2o$141b2o58b2o21bo2bo63b2o208b3o
47bo2b3o4bobo$140b2o60bo20bo2bo64b2o204b2o49b2obo2b3o5bo$142bo79bo274b
2o48b2o5b2o$195b2o19b3o2b2obo272b2o55b2o$145b2o47bo2bo17bo3b3obo54b2o
4bo209b3o50b2ob5o$145bobo45b2o2bo17bo2bob2o56bobo3bo203b2o4b3o52b5o$
145bo47bo2b3o15bobob4o57bo4bo203b2ob2o$190b2obo2b3o14bobobo2b3o265b3ob
o54bo$150bo38b2o5b2o14bo5bo269bo4bo52b2o$149b2o45b2o14bob4o84b2o181b3o
2bo2bo52bo$149bobo37b2ob5o15bob3o84bobo181b2o3bo2bo50b2o$191b5o105b2o
181bob4o48bobo2b2o$484bo7bo44b2obo$153b3o33bo295bo5bo45bo3bo$153bo34b
2o28bo321b2o$154bo33bo25b2o4bo314b3o2b2o$186b2o26b3o4bo312b2o4b2o$158b
2o20bobo2b2o25b2o7bo86b2o223bo6b2o$157b2o20b2obo29b2o2b2o3bobo84b2o
223bo2b5o$159bo19bo3bo27bo7b2o313b6o$182b2o27bob2o3b2ob2o313b2o$162b2o
13b3o2b2o27b5o3bo2bo72b2o$162bobo11b2o4b2o33b3obo73bobo2b3o$162bo12bo
6b2o23b3o10bo75bo$175bo2b5o$167bo8b6o29bo373bobo$166b2o10b2o31bo107b2o
264b2o$166bobo42bo106bobo265bo$318b2o295b2o$213b2o399bo2bo$170b3o40b2o
398b2o2bo$170bo351b2o89bo2b3o$171bo349b3o86b2obo2b3o$521b2obo84b2o5b2o
$175b2o148b2o195b3o91b2o$174b2o108b3o38b2o196bo85b2ob5o$176bo109bo324b
5o$285bo$179b2o31bo105bo290bo$179bobo29b3o32b2o70bo289b2o$179bo34bo32b
2o69bo289bo$211b2ob2o30bo66bo292b2o$184bo25b2ob2o98bo286bobo2b2o$183b
2o25b2ob2o98bo22b2o240bo20b2obo$183bobo25bo2bo120bobo239b2o20bo3bo$
212b3o120b2o239bo25b2o$212b2o201bobo156b3ob2o17b3o2b2o$187b3o224bo158b
2obo3bo15b2o4b2o$187bo226bo157bob3o18bo6b2o$188bo225bo2bo153b2obobob2o
15bo2b5o$414b3o155bob2obo18b6o$192b2o148b2o228bo25b2o$191b2o149b2o318b
o$193bo377bo5bo5b2o76b2o$571bo4bo5bo77bo$196b2o284b2o86bo2bo14b2obo66b
3ob2o$196bobo135b3o145b3o84bo21bo65b2obo3bo$196bo284bob2o78bo3b2o13bo
2bob5o64bob3o$481b3o78b4o17b3o2b2o65b2obobob2o$201bo20b2o105b3o150bo
78bo7bo15bobo68bob2obo$200b2o20b2o129b2o205b5o22b2obo65bo$200bobo149bo
bo205bobobo24bobo112b2o$352b2o205b5o4bo16b2o2bo2bo62bo5bo41bo2bo$558bo
5bo2bo21bo2bo62bo4bo41b2o2bo$204b3o350b2obo2bo24bo2bo62bo2bo44bo2b3o$
204bo11bo343bo2bo24bo2bo61bo45b2obo2b3o$205bo10bo344bo26b3o56bo3b2o45b
2o5b2o$215bobo10b2o416b4o55b2o$212b6o8bo2bo7b2o120b2o284bo7bo44b2ob5o$
229bo129b2o283b5o51b5o$226bobo415bobobo$212b2o13bo3b2o7bo402b5o4bo45bo
$213bo3bo12b2o2b3o3bo111bo289bo5bo2bo45b2o$227bo12bo111bo288b2obo2bo
49bo$214bo4bo7bobo122bo291bo2bo47b2o$215b2obo8b2o118bo297bo43bobo2b2o$
217b2o3b2o15b2o106bo340b2obo$221b2o16b2o106bo22b2o316bo3bo$221bo147bob
o277b2o40b2o$369b2o277bo2bo34b3o2b2o$647b2ob2o33b2o4b2o$614b2o33bo34bo
6b2o$615b2o67bo2b5o$614bo70b6o$235b2o450b2o$235b2o139b2o208b2o$376b2o
207bo2bo$584b2o2bo$256b2o326bo2b3o$256bobo322b2obo2b3o106bo$257bo110b
3o167bobo39b2o5b2o57b2o46b2obo$541bo45b2o56bo2bo45b2o$541bo38b2ob5o56b
2o2bo$257bo105b3o172bo2bo40b5o57bo2b3o$245b2o10bo129b2o150b3o99b2obo2b
3o48b3o$244bobo10bo128bobo191bo59b2o5b2o$244b2o140b2o191b2o66b2o49b2o$
579bo60b2ob5o$577b2o63b5o21bobo$571bobo2b2o89b2o2b2o$570b2obo66bo26bo
2b2o8bobo$252b2o316bo3bo64b2o24bo3b2o9b2o$252b2o139b2o178b2o64bo29bo
11bo$393b2o173b3o2b2o62b2o28b2o$567b2o4b2o56bobo2b2o$273b2o291bo6b2o
55b2obo$273bobo110bo44b2o133bo2b5o56bo3bo$274bo111bo43b3o134b6o60b2o$
386bo43b2obo135b2o57b3o2b2o$381bo49b3o193b2o4b2o$381bo50bo193bo6b2o$
262b2o9b3o105bo22b2o220bo2b5o$261bobo139bobo221b6o$261b2o140b2o224b2o$
499bobo99b2o$498bo101b3o$498bo101b2obo$498bo2bo99b3o$269b2o227b3o101bo
$269b2o139b2o$410b2o$708b2o$290b2o415bo2bo$290bobo413b2o2bo$291bo110b
3o301bo2b3o$703b2obo2b3o$702b2o5b2o$291bo105b3o309b2o$279b2o10bo129b2o
279b2ob5o$278bobo10bo128bobo281b5o$278b2o140b2o$702bo$701b2o$701bo$
699b2o$286b2o405bobo2b2o$286b2o139b2o242bo20b2obo$427b2o241b2o20bo3bo$
669bo6bo18b2o$307b2o358b3ob2o3bobo11b3o2b2o$307bobo110bo245b2obo3bo2b
2o11b2o4b2o$308bo111bo244bob3o18bo6b2o$420bo243b2obobob2o15bo2b5o$415b
o249bob2obo18b6o$415bo249bo25b2o$296b2o9b3o105bo22b2o$295bobo139bobo
224bo5bo23b2o$295b2o140b2o225bo4bo$663bo2bo$662bo63b3o$557b2o97bo3b2o
63bo$557b3o95b4o65bo2b2o$303b2o146b2o103bob2o94bo7bo30bo28b2obob2o$
303b2o146b2o103b3o94b5o34bo28bo2bo2b2o$557bo95bobobo34bo3b2o23bo3bobo$
445b2o205b5o4bo30b2o2b3o22bob2obo$324b2o119b3o203bo5bo2bo31bob2obo24bo
bo$324bobo323b2obo2bo34b4o2bo24b4o$325bo110b3o10bo203bo2bo34bo4bo24b5o
$449bo204bo36b3obo24b2o3bo$447b2obo240b3o25bo2bo$325bo105b3o12bo6b2obo
239b2o20bo2bo$313b2o10bo120bo2bo3bo3bo230b3o5b2o19bo$312bobo10bo121bob
ob4o256b3o2b2obo$312b2o134b4o2bo2bo252bo3b3obo$449b3o3b2o234b2o17bo2bo
b2o$448bo2bo239b2o16bobob4o$708bobobo2b3o$707bo5bo$320b2o385bob4o$320b
2o148b2o235bob3o$470b2o2$341b2o274bobo$341bobo171b2o103bo$342bo171b3o
103bo$514b2obo99bo2bo68b2o$515b3o100b3o69b2o$516bo162b2o8bo$330b2o9b3o
334bo2bo$329bobo134b2o209b2o2bo3b2o$329b2o135b2o209bo2b3o2bo2b2o$674b
2obo2b3o3bo2bo$673b2o5b2o4b3o$680b2o$673b2ob5o$337b2o336b5o$337b2o148b
2o$487b2o184bo$672b2o$358b2o312bo$358bobo309b2o$359bo304bobo2b2o$663b
2obo$663bo3bo$359bo306b2o$347b2o10bo301b3o2b2o$346bobo10bo123b2o175b2o
4b2o$346b2o135b2o174bo6b2o$659bo2b5o$660b6o$662b2o2$354b2o$354b2o148b
2o$504b2o2$375b2o$375bobo$376bo197bobo$573bo$573bo$573bo2bo$364b2o9b3o
195b3o$363bobo134b2o$363b2o135b2o5$371b2o$371b2o148b2o$521b2o2$392b2o$
392bobo$393bo3$393bo$381b2o10bo$380bobo10bo123b2o$380b2o135b2o$531bobo
102b2o$534bo101b3o$534bo100bob2o$531bo2bo100b3o$388b2o142b3o101bo$388b
2o148b2o162bobo$538b2o165bo$705bo$409b2o291bo2bo$409bobo291b3o$410bo4$
398b2o9b3o$397bobo134b2o$397b2o135b2o5$405b2o$405b2o148b2o$555b2o2$
426b2o$426bobo$427bo3$427bo$415b2o10bo$414bobo10bo$414b2o3$590b2o$589b
3o$422b2o165b2obo$422b2o148b2o16b3o$572b2o17bo2$443b2o$443bobo$444bo4$
432b2o9b3o$431bobo$431b2o5$439b2o$439b2o148b2o$589b2o2$460b2o191bobo$
460bobo189bo$461bo190bo$652bo2bo$652b3o$461bo$449b2o10bo259b2o$448bobo
10bo259b3o$448b2o270bob2o$720b3o$721bo3$456b2o$456b2o3$477b2o$477bobo$
478bo4$466b2o9b3o$465bobo$465b2o5$473b2o$473b2o3$494b2o$494bobo$495bo
3$495bo$483b2o10bo$482bobo10bo$482b2o5$490b2o$490b2o3$511b2o$511bobo$
512bo4$500b2o9b3o$499bobo$499b2o$669b2o$668b3o$668b2obo$669b3o$507b2o
161bo$507b2o229bobo$737bo$737bo$528b2o207bo2bo$528bobo206b3o$529bo3$
529bo$517b2o10bo$516bobo10bo$516b2o5$524b2o$524b2o3$545b2o$545bobo$
546bo4$534b2o9b3o$533bobo$533b2o5$541b2o$541b2o3$562b2o$562bobo$563bo
3$563bo$551b2o10bo$550bobo10bo$550b2o5$558b2o$558b2o3$579b2o104bobo$
579bobo106bo$580bo107bo$685bo2bo$686b3o2$568b2o9b3o172b2o$567bobo183b
3o$567b2o184b2obo$754b3o$755bo3$575b2o$575b2o3$596b2o$596bobo$597bo3$
597bo$585b2o10bo$584bobo10bo$584b2o5$592b2o$592b2o3$613b2o$613bobo$
614bo4$602b2o9b3o$601bobo$601b2o5$609b2o$609b2o3$630b2o$630bobo$631bo
3$631bo$619b2o10bo$618bobo10bo$618b2o$704b2o$704b3o$703bob2o$703b3o$
626b2o76bo$626b2o142bobo$773bo$773bo$647b2o121bo2bo$647bobo121b3o$648b
o4$636b2o9b3o$635bobo$635b2o5$643b2o$643b2o3$664b2o$664bobo$665bo3$
665bo$653b2o10bo$652bobo10bo$652b2o5$660b2o$660b2o3$681b2o$681bobo$
682bo4$670b2o9b3o$669bobo$669b2o5$677b2o$677b2o3$698b2o21bobo$698bobo
19bo$699bo20bo$720bo2bo$720b3o$699bo$687b2o10bo89b2o$686bobo10bo89b3o$
686b2o100bob2o$788b3o$789bo3$694b2o$694b2o3$715b2o$715bobo$716bo4$704b
2o9b3o$703bobo$703b2o5$711b2o$711b2o9$721b2o$720bobo$720b2o$733bo$732b
obo$732bobo$733bo$728b2o$728b2o9$738b2o$737bobo$737b2o$750bo$749bobo$
749bobo$750bo$745b2o$745b2o59bobo$805bo$805bo$805bo2bo$805b3o5$755b2o$
754bobo$754b2o$767bo$766bobo$766bobo$767bo$762b2o$762b2o9$772b2o$771bo
bo$771b2o$784bo$783bobo$783bobo$784bo$779b2o$779b2o9$789b2o$788bobo$
788b2o$801bo$800bobo$800bobo$801bo$796b2o$796b2o9$806b2o14b2o$805bobo
13b3o$805b2o14b2obo$818bo3b3o$817bobo3bo$817bobo$818bo$813b2o$813b2o9$
823b2o$822bobo$822b2o!

I think the above method can be used to make c/5 diagonal rakes of all periods greater than or equal to 85.

Here is another c/5 diagonal rake design that is smaller and cleaner, but has a minimum period of 235:

Code: Select all

x = 333, y = 315, rule = B3/S23
195bo$194b2o$193bo$191b3ob2o$190b2obo3bo$189bob3o$188b2obobob2o$189bob
2obo$189bo$237b2o$188bo5bo41bo2bo$188bo4bo41b2o2bo$187bo2bo44bo2b3o$
186bo45b2obo2b3o$180bo3b2o45b2o5b2o$179b4o55b2o$178bo7bo44b2ob5o$177b
5o51b5o49b2o$177bobobo105b2o$176b5o4bo45bo54bo2bo$175bo5bo2bo45b2o51b
2obo2bo$174b2obo2bo49bo58bo$20b2o155bo2bo47b2o51b2o3bo2bo$19bo2bo155bo
43bobo2b2o52b2o5bo$18b2o2bo198b2obo57bob5o$18bo2b3o197bo3bo57bo$15b2ob
o2b3o200b2o104b2o$14b2o5b2o196b3o2b2o102b2o2bo$21b2o195b2o4b2o54b3o45b
3o$14b2ob5o195bo6b2o54bo47bobo$16b5o119b3o74bo2b5o53b2o44b4o2bo$142bo
75b6o48b2o4bo45b3o3bo$14bo126bo78b2o50b3o3bo47bob2o$13b2o255bo4bo49bo
6bo$13bo256bo3bo50b2o4bo$11b2o261bo52b3o$5bobo2b2o257b2obobo48b2o$4b2o
bo172b2o85b2o5bo48b2o$4bo3bo171b2o85b2o4b2o48b2o$7b2o170bo2bo86b4o47b
3o$2b3o2b2o167b2obo2bo131b2o4b3o$b2o4b2o26bo146bo131b2ob2o$o6b2o26b2o
137b2o3bo2bo131b3obo$o2b5o26bobo137b2o5bo132bo4bo$b6o168bob5o129b3o2bo
2bo$3b2o171bo134b2o3bo2bo$310bob4o$310bo7bo$173b3o42b2o91bo5bo$173bo
43bobo$171b2o34b2o10bo$165b2o4bo35b2o$165b3o3bo$163bo4bo$18b3o142bo3bo
105b2o$18bo148bo103b2o2bo$19bo142b2obobo103b3o$160b2o5bo103bobo$160b2o
4b2o99b4o2bo$162b4o39b2o60b3o3bo$204bo2bo61bob2o$205b2o61bo6bo$268b2o
4bo$200bo40b2o27b3o$201b3o3bo32bo2bo22b2o$31bo167bo2bo2bobo31b2o2bo22b
2o$30b2o167bo3bo35bo2b3o21b2o$30bobo166b2o35b2obo2b3o18b3o$235b2o5b2o
13b2o4b3o$203b2o37b2o13b2ob2o$203b2o7bo22b2ob5o14b3obo$210b2o25b5o15bo
4bo$211b2o41b3o2bo2bo42bobo$235bo18b2o3bo2bo42b2o$234b2o17bob4o47bo$
234bo18bo7bo$232b2o20bo5bo$42b2o160b2o20bobo2b2o$42bobo159b2o19b2obo$
42bo160bo2bo18bo3bo$200b2obo2bo21b2o$206bo16b3o2b2o$198b2o3bo2bo15b2o
4b2o$198b2o5bo15bo6b2o$199bob5o15bo2b5o$200bo21b6o$224b2o$280b2o$197b
3o80b2o$54b2o141bo81bo2bo$53b2o140b2o79b2obo2bo$55bo133b2o4bo86bo$189b
3o3bo78b2o3bo2bo$187bo4bo81b2o5bo$187bo3bo83bob5o$191bo84bo$186b2obobo
$184b2o5bo$184b2o4b2o81b3o$186b4o83bo$271b2o$65b3o197b2o4bo$65bo199b3o
3bo$66bo196bo4bo$263bo3bo$267bo$262b2obobo$260b2o5bo$260b2o4b2o$262b4o
3$78bo$77b2o$77bobo6$213b2o$211b2o2bo$211b3o$211bobo$89b2o116b4o2bo$
89bobo115b3o3bo47b2o$89bo119bob2o48b2o$208bo6bo44bo2bo$208b2o4bo42b2ob
o2bo$210b3o50bo$206b2o47b2o3bo2bo$206b2o47b2o5bo$206b2o48bob5o$203b3o
51bo$197b2o4b3o$197b2ob2o$101b2o94b3obo52b3o$100b2o95bo4bo51bo$102bo
91b3o2bo2bo49b2o$194b2o3bo2bo22bo20b2o4bo$193bob4o25b2o20b3o3bo$193bo
7bo21bo20bo4bo$194bo5bo20b3ob2o17bo3bo$220b2obo3bo20bo$219bob3o19b2obo
bo$218b2obobob2o4bo9b2o5bo$219bob2obo4b3o9b2o4b2o$219bo10bo12b4o$112b
3o$112bo105bo5bo$113bo104bo4bo$217bo2bo$216bo$210bo3b2o$209b4o$208bo7b
o$207b5o$207bobobo$206b5o4bo$125bo79bo5bo2bo$124b2o78b2obo2bo$124bobo
80bo2bo$208bo9$136b2o179b3o$136bobo180bo$136bo181bo4$294bo$293bo$293b
3o3$233b2o$148b2o82bo2bo$147b2o82b2o2bo$149bo81bo2b3o$228b2obo2b3o$
227b2o5b2o$234b2o$227b2ob5o$229b5o2$227bo$226b2o$226bo$159b3o62b2o$
159bo58bobo2b2o$160bo56b2obo$217bo3bo$220b2o$215b3o2b2o$214b2o4b2o$
213bo6b2o$213bo2b5o$214b6o$216b2o$172bo$171b2o$171bobo10$183b2o$183bob
o$183bo5$249bo$247b2o$248b2o3$195b2o$194b2o$196bo$189bo$188b2o$187b3o
2$187bob3o$189b3o$188b2o$189bob2obo$188bo2b2o2bo$188bobo3bo11b3o$179bo
bo5bo5b2o5bo5bo$178b2o3bob2o12b2o6bo$177b3ob4o7bobo3b2o$181b2o3bo5bob
4o2bo$181b2ob2o6bob4obo$184b2o3b3o5b2obobo$187bo15b2o$184bob2ob3o10bo$
185bo4b2o4bo5bobo$190b2o3b2obobob2o$190b3o5bobo4b2o12bo$189bo2bo3b3o4b
obo12b2o$188b2obo9b3ob2o11bobo$187b2obobo3b2o2b2ob4o$199b3o3bo$192bob
3o2bo4bob2o$193bo2bob3o4b3o$193bobo4bobo4bobo$197b5obo7bo$197bob2ob2o
7b3o5bo$202b3o6b3o4bo$218bo2b2o$204bo10b3o5bo6b2o$210b2o3b3o2bo9bobo$
205b3o2b3o17bo$206b2o3b3ob2o$206b2o4bo4bo$217b2obo$209b2obo6bo9bo$209b
2obo7bo2bo3b3o$209b2o2b2o8b3obo$207b2o5bo9bo3bo$206bo8bo4b3obobo3b2o$
210bo3bobo2bo8bo3bo$208bo10bo2bo2bob2o4b2o7b2o$208bo10bobo5bo13b2o$
209bo6b2o8bo7bo8bo$217b3o15b3o$217bo3bo12bo2bo$219bo3bo11bobo$216b2o3b
2o15bo44bo$216bobob2o59b2o$215b2o65b2o$219bo$219bo$220bo$221bo31b3o$
221bobobo27bo$224bobo27bo$224bo$224b3o$227bo6$266bo$265b2o$265bobo3$
261b2o$261bobo$262bo5$277b2o$277bobo$277bo!

The reason why there are no more c/4 diagonal puffer engines is simply that nobody seriously searched for them! Paul Tooke was the only one seriously and systematically searching for puffer engines using a modified version of gfind and some specialized postprocessing scripts. Unfortunately, gfind didn't have an option for searching for diagonal ships.

Before that, the only possibility to find new pufffer engines was to generalize those found by chance (like c/2 line ships) or watch enough of wls or liefsrc partial results to recognize an engine. See David Bells article still very interesting article on high period c/3 space ships and puffers!

So actually, this is a blind spot for someone ready to put some time into it and start investigating. Only that he needs to build his own tools first.

[Scorbie]

Useless C-to-G that runs into one of the catalysts:

Code: Select all

x = 17, y = 17, rule = LifeHistory
7.2C$7.C$4.BC.C$.B.BC.C$2C3BC7.2C$2CB.3B6.C$.B3.2B3.BC.C$3.6B.B2C$3.
8B$3.7B$.11B$.6BC5B.2C$2.4B3C5B.C$2.3B2C4B3.C$.9B3.C$2.5B7.3C$3.4B9.C
!

Actually, that could be made into work:

Code: Select all

x = 16, y = 17, rule = LifeHistory
7.2C$7.C$4.BC.C$.B.BC.C$2C3BC7.2C$2CB.3B6.C$.B3.2B3.BC.C$3.6B.B2C$3.
8B$3.7B4.B$.11B.B2C$.6BC6B2C$2.4B3C4B.B$2.3B2C4B$.9B$2.5B$3.4B!

But I am not sure if it is new.

[Sokwe]

The reason why there are no more c/4 diagonal puffer engines is simply that nobody seriously searched for them! Paul Tooke was the only one seriously and systematically searching for puffer engines using a modified version of gfind and some specialized postprocessing scripts.

It is a woefully under-explored area. Unfortunately, I haven't seen Paul Tooke around in a while, so we probably can't ask him precisely how he found those puffers. The patch for finding puffers in Paul's modified gfind (see here) is nearly identical to the code for finding puffers in David Eppstein's current gfind version, so I'm not sure if they do anything different.

Unfortunately, gfind didn't have an option for searching for diagonal ships.

gfind does have a diagonal mode (since at least July 1999), but one problem with searching for c/4 diagonal ships is that you get a lot results that are just closely-spaced gliders. I'm not sure if these could be dealt with in post-processing, or if it would be necessary to build a glider-detector into gfind to make the search viable.

[HartmutHolzwart]

if one could set up a symmetric diagonal search with one cell ON on the diagonal, you at wouldn't get just gliders.

But I think you'd have to add some custom glider detect and skip code.

Why not run the search for c(1,1)/5 glider engines? Paul Tooke found several for 2c/5, so there is hope that this is in the reach of current computing power.

[Saka]

A strange c2 that looks like the backend of a hivenudger

Code: Select all

x = 11, y = 15, rule = B3/S23
5b2o$4obob4o$o2b8o$o3b3ob2o$b3o$3bo2$3b3o2$3bo$b3o$o3b3ob2o$o2b8o$4obo
b4o$5b2o!

[mniemiec]

A strange c2 that looks like the backend of a hivenudger

This is certainly not useless, but it is already known. It's called 47P4H2V0.33 in the pentadecathlon.com collection (which is, unfortunately, down at the moment). I am not sure, but I think it was originally found by Hartmut.

[gmc_nxtman]

Could these be useful?

Code: Select all

#C Claw-with-tail + Tub = Trans-mango with tail
#C Claw-with-tail + duoplet = Beehive with tail
#C Claw-with-tail + Dot = Trans-mango with tail
x = 28, y = 8, rule = B3/S23
7bo$6bobo8bo8bo$7bo10bo$4b2o9b2o9b2o$2bo2bo7bo2bo7bo2bo$bob2o7bob2o7bo
b2o$bo10bo10bo$2o9b2o9b2o!

A 5-glider boat-with-tail synthesis based on a 4-glider hook-with-tail:

Code: Select all

x = 19, y = 17, rule = B3/S23
obo$b2o$bo5$7bo$6bo$6b3o2$8bo$7b2o$7bobo7b2o$b2o13b2o$2b2o14bo$bo!

EDIT: An 11-glider synthesis of the other version of the gourmet catalyst:

Code: Select all

x = 29, y = 52, rule = B3/S23
26bo$26bobo$26b2o27$bo20bo$2b2o13bobo2bobo$b2o14b2o3b2o$7bobo8bo$7b2o$
8bo2$6b3o12bobo$6bo14b2o$7bo14bo5$bo$b2o$obo24bo$26b2o$26bobo$17b2o$3b
2o11b2o$4b2o12bo$3bo!

2 pies perturb each other (R14(6c/14))

Code: Select all

x = 8, y = 8, rule = B3/S23
5bobo$5bobo$5b3o3$3o$2bo$3o!

[M. I. Wright]

That 3c/14 (not 6c) pi reaction has had some interesting applications.

As for the whole diagonal rake thing:

Is the above really a workable glider stream for your project, and a p96 stream isn't?

Yes and no - it's the right period, but I need two p48 streams from one side, and the closest two of those corder-rakes can be put together is nowhere near close enough.

I think Alexey summed up the whole situation nicely with his first sentence, so... into the bin it goes for now, I guess. I'd still like to see a fast, low-period diagonal rake, though!

[Saka]

A strange c2 that looks like the backend of a hivenudger

This is certainly not useless, but it is already known. It's called 47P4H2V0.33 in the pentadecathlon.com collection (which is, unfortunately, down at the moment). I am not sure, but I think it was originally found by Hartmut.

Oops... I'm not too familiar with things not on the LifeWiki...
Here are the ships I found with WLS yesterday:
2c/4:

Code: Select all

x = 31, y = 115, rule = B3/S23
5b2o$4obob4o$o2b8o$o3b3ob2o$b3o9bobo$3bo8bo$11b2o2bo$3b3o4b3o$11b2o2bo
$3bo8bo$b3o9bobo$o3b3ob2o$o2b8o$4obob4o$5b2o8$7bo2bo12bo$6bo14bo3bo$6b
o3bo9bo$6b4o4b2obo2bo4bo$17bo2b5o$4bo6b3o$4bo4bo3bo3bo$2b2o2bo2bobo3bo
bo3b2o2bo$b2o2bo2bo2bo8b3o3bo$2ob2o3b3o9bo4bo$b5o2b2o2bo2b2o3b2o$4b2o
5bo2b4o2bo$4b3o3b2obo3bo2b2o$4b2o5bo2b4o2bo$b5o2b2o2bo2b2o3b2o$2ob2o3b
3o9bo4bo$b2o2bo2bo2bo8b3o3bo$2b2o2bo2bobo3bobo3b2o2bo$4bo4bo3bo3bo$4bo
6b3o$17bo2b5o$6b4o4b2obo2bo4bo$6bo3bo9bo$6bo14bo3bo$7bo2bo12bo5$17b2o$
7b3o4b6o$6bo3b2obob5o$6bo4bobo$6b2o2bo2b2o$13b2o$2b2o4bobo$b2o3bo4bobo
b2o$2obob2o9bo$b4o6bo7bobo$4b3ob3ob2obob3obo$4b3o8bo$4b3ob3ob2obob3obo
$b4o6bo7bobo$2obob2o9bo$b2o3bo4bobob2o$2b2o4bobo$13b2o$6b2o2bo2b2o$6bo
4bobo$6bo3b2obob5o$7b3o4b6o$17b2o8$5b2o$4obob4o$o2b8o$o3b3ob2o$b3o$3bo
2$3b3o2$3bo$b3o$o3b3ob2o$o2b8o$4obob4o$5b2o5$18bob2o4bobo$16b6o3bo$15b
o6b2o2bo$3b6o5bob6o2bo3b2o$3bo5b2obobobo11b2o$3bo5b3o2b6o$4bo3bo6b4o2b
o$21bo4b4o$4ob2o18b6o$o3b2obo16b2ob4o$o4bobo2b6o9b2o$bo2bo5bo5bo$10bo$
11bo4bo$13b2o!

c/3 (with paralyzed glider?):

Code: Select all

x = 15, y = 23, rule = B3/S23
5bo$2b2obo5bo$bo2b2obobobobo$2ob2obo2bob2o$bob2o$b2o$4bo3b2obobo$2bo6b
3ob2o$2bob4o2bo2b2o$2bo6bo2bo$3b8obo2$3b8obo$2bo6bo2bo$2bob4o2bo2b2o$
2bo6b3ob2o$4bo3b2obobo$b2o$bob2o$2ob2obo2bob2o$bo2b2obobobobo$2b2obo5b
o$5bo!

c/4:

Code: Select all

x = 31, y = 17, rule = B3/S23
2bob2o3bo$2o3bo3bo2b2o4bo$2bobo3bo4bo2b2o$6b3o2b2ob2o2bo$6b3o3b5obo2b
3obobo$8bo5bobob2o2b4o3bo$9b2o6b2o11bo$9b2o7b11obo2$9b2o7b11obo$9b2o6b
2o11bo$8bo5bobob2o2b4o3bo$6b3o3b5obo2b3obobo$6b3o2b2ob2o2bo$2bobo3bo4b
o2b2o$2o3bo3bo2b2o4bo$2bob2o3bo!

c/2:

Code: Select all

x = 99, y = 35, rule = B3/S23
7bo21bo9bobo23bo15bobo10bo$4b4o18b4o8bo2bo20b2obobo2bo9bo2bo7b4o$4b2o
20b3o8b2o23bo6bobo7b2o10b3o$2bo3b2o16bo3bo7bo3bo7bo12bo2b4o10bo3bo6bo
3bo$2b3ob2o6bo9b3o8b3obo5b4o12b2o6b2o6b3obo7b3o$bo6b3ob2o7bobo4bo5bo8b
3obo11bobo3bobo6b2o12bo4bo$3obo3b3obobo5b8o6b6o2b2o3bobo8b6obo7bo3b5o
5b6o$b2o2b2o3bo8b2o11bo9bo4b2o8b2o13bo3bo9bo$2b2o5b2o7b2o4b4o4b10o2bo
3bo3bo3b3o3b3o7bo5b4o3b8o$3b5ob2o3b2o3b2o4bo2bo2bo9b3o7bobo3b3o2bo3bob
o3b3o3bo5bo8bo$10b2obo8bo3bo3b3o2b4o7b4obo7bo3bob3obo3bo5b2o3bo2bobobo
$b5o5b2o4b5o4b2o3b2obo4bo3b3o8bobo6bo2bo6bo10bo3bob2obo$2o11bob2o8b2ob
o3bo2b3o3b3o3bo6b2o8b2o6bo6bo3b2o3b2o3bo$b2o2bo10b2obo4bo2b3ob2obo3b3o
3b2o4bo4bo3bo5b2o4b3o4b7o4bo3b2o$2b2o8b4o2bobo2bo7b2o3b2obo2bo2b4obo7b
obo5b2o9b2o7b2o6b3obo$3b2obo4b2o4b2o4bo3b2obo5b2o9bo5b4obo8b5o4b2obo2b
obo11b2o$4b2o4b2o2b3obo3bob5obo7b2obo6b5o15bobo4bo2b3obo15bo$9b3obo7b
3o17bobo3bo6bo15bo4bo$4b2o4b2o2b3obo3bob5obo7b2obo6b5o15bobo4bo2b3obo
15bo$3b2obo4b2o4b2o4bo3b2obo5b2o9bo5b4obo8b5o4b2obo2bobo11b2o$2b2o8b4o
2bobo2bo7b2o3b2obo2bo2b4obo7bobo5b2o9b2o7b2o6b3obo$b2o2bo10b2obo4bo2b
3ob2obo3b3o3b2o4bo4bo3bo5b2o4b3o4b7o4bo3b2o$2o11bob2o8b2obo3bo2b3o3b3o
3bo6b2o8b2o6bo6bo3b2o3b2o3bo$b5o5b2o4b5o4b2o3b2obo4bo3b3o8bobo6bo2bo6b
o10bo3bob2obo$10b2obo8bo3bo3b3o2b4o7b4obo7bo3bob3obo3bo5b2o3bo2bobobo$
3b5ob2o3b2o3b2o4bo2bo2bo9b3o7bobo3b3o2bo3bobo3b3o3bo5bo8bo$2b2o5b2o7b
2o4b4o4b10o2bo3bo3bo3b3o3b3o7bo5b4o3b8o$b2o2b2o3bo8b2o11bo9bo4b2o8b2o
13bo3bo9bo$3obo3b3obobo5b8o6b6o2b2o3bobo8b6obo7bo3b5o5b6o$bo6b3ob2o7bo
bo4bo5bo8b3obo11bobo3bobo6b2o12bo4bo$2b3ob2o6bo9b3o8b3obo5b4o12b2o6b2o
6b3obo7b3o$2bo3b2o16bo3bo7bo3bo7bo12bo2b4o10bo3bo6bo3bo$4b2o20b3o8b2o
23bo6bobo7b2o10b3o$4b4o18b4o8bo2bo20b2obobo2bo9bo2bo7b4o$7bo21bo9bobo
23bo15bobo10bo!

[Saka]

I have "A" tagalong:

Code: Select all

x = 9, y = 15, rule = B3/S23
4o$o3bo$o$bo2bo2$5b4o$4bo2bo$4bo2bo$4bo2bo$5b4o2$bo2bo$o$o3bo$4o!

It can be attached to the back of any ship with the same sparks.
Probably already known.

Code: Select all

x = 16, y = 31, rule = B3/S23
3bo$bo2bo$o3bo$o3bo$2obo$5b2o$2bo2b2o$4bo$7b3o$6b5o$5b2ob3o$6b2o2$12b
3o$12b4o$11bo$10b6o$11bo$12b4o$12b3o2$5b2o$4b2ob4o$5b6o$6b4o3$4b2o3bo$
3b2ob4o$4b5o$5b2o!

[dvgrn]

I have "A" tagalong...

Funny, I just tried looking that up in the LifeWiki yesterday, because of mniemiec's assertion that all known c/2 spaceships with 30 cells or less are now synthesizable. The smallest "Big A" ship turns out to be 32 cells minimum, but it should probably be on the wiki anyway.

Here's an old gun for the Big A ship, from 2009:

Code: Select all

#C p144 big A gun
#C gun construction by Matthias Merzenich
#C big A tagalong by Hartmut Holzwart
#C big A tagalong synthesis by Jason Summers
#C p144 gun by Bill Gosper with Achim Flammenkamp and Robert Wainwright
x = 492, y = 488, rule = B3/S23
423b2o$423b2o3$424b2o$422bob2o$422bo$422bo$410b3o9bo2bo$409b5o9b2o$
408bo2bo2bo$416b3o11b2o24b2o$412bo5bo11b2o24b2o$411b2o3b3o19b2o$416bo
20bo2bo$412bo25b2o$412bo2bo27bo$413b2o28bo8b2o$442bobo$443bo26bo$423b
2o17bo2bo24b2o$417b2o4b2o19bo27bo$417b2o24bobo21bob4o$402b2o30b2o8bo
21b2obobo$402b2o18b2o20bo22bob2o$422b2obo22b2o$425bo21bo2bo7b2o$425bo
22b2o8b2o$422bo2bo4b2o$423b2o5b2o$417bo39bobo$393b2o21bobo37bo18b2o$
393b2o21bobo32b2o2bo4bo10b2obo2bob2o$411bo5bo33b2obo2bob2o10b2o2bo4bo$
409bobobo41b2o19bo$392bob2o13bo3b2o62bobo$392bobo13bo5b2o$393bo13b2o5b
o$64b2o327b2o13b2o3bo$64b2o316b3o8b2o14bobobo$380b2o11b2o10bo5bo$380b
2o3bo18bobo29bo$63b2o317b2obo18bobo27b2o$63b2obo338bo29b2o$66bo316b3o$
66bo8bo307b3o$63bo2bo8b3o357bo$64b2o8b2o2bo357b2o$74bo3bo356b2o$31b2o
24b2o15bob2o324b2o15b2o$30bo2bo23b2o14bo2bo325b2o15b2o15bo$30bobo16b2o
22bobo317b2o40b3o$31bo16bo2bo21bobo311b2o4b2o40bob2o$34bo14b2o23bo312b
2o47b3o$33b2o337b2o62b2o$32b3o337b2o18b2obo$33b2o10b2o346bobo$34bo8b3o
340bo7bo$42bo4bo16b2o318bobo6b2o$19bo24b3o8bo8b2o4b2o313b2o6b2o$17b2ob
o22b2o10b2o13b2o321b2o$17b2obo34b3o27b2o288bo$18b2o35b2o8b2o18b2o287bo
bo$39b2o14bo7bob2o307bobo$15b2o12b2o7bo2bo16bo4bo311bo$15b2o12b2o8b2o
16bobo3bo$56bo2bo3bo2bo311b3o$57b2o5b2o312bob5o$29bobo39bo306b5obo$12b
2o18bo37bobo21b2o286b3o$8b2obo2bob2o10bo4bo2b2o32bobo21b2o$8bo4bo2b2o
10b2obo2bob2o33bo315bo$12bo19b2o41bo310bobo$9bobo62bobob2o13b2obo289bo
bo$73bo6bo13bobo290bo$74bo6bo13bo$75b2obobo13b2o4b2o$50bo28bo14b2o4b2o
298bo40b2o24b2o$51b2o30bo10b2o7bobo292b2o41b2o24b2o$50b2o30bobo18bo2bo
292b2o12b2o5b2o$82bobo18bo2bo265b2o15b2o22b2o5bo$83bo20b2o266b2o15b2o
27bobo24b2o$55bo362b2o27b4o$53b2o345bo13b2o33bob2o$54b2o342b2o14bobo$
341b2o24b2o30b2o14bo2b2o29bo3bo4b3o$341b2o24b2o80bo2bo4bo2bo$68b2o15b
2o206b2o52bo68bo3bo28b3o4bo3bo11b2o$68b2o15b2o206b2o50b2o69bo4bo49b2ob
o$43b2o49b2o250b2o70bobobo34b2obo10bo2bo$43b2o49b2o4b2o90b2o99bo53bo
71bobobo35b4o7bo2bo$100b2o89bo2bo97bobo55b2o68bo4bo37b2o4b2ob2o$52bo
62b2o74bo100bo2bo54bo70bo3bo57b2o$42bob2o5b3o39bob2o7bobo8b2o74bo101bo
2bo53bo2bo46bobo66b2o12b2o$42bobo5b2obo39bobo7bo2bo84bob2o156b2o4b2o
41b2o20b2o17b2o$43bo6b3o41bo9bo51b2o35b2o98bo2bo30bo28bo2bo41bo39b2o$
43b2o6b2o41b2o9bo50b2o135b2o7b3o2bo17b2obo6b2o22bo108b2o$32b3o8b2o49b
2o103bob2o102bobo16b2o8bobo21b2o108b3o15b2o$30b2o11b2o49b2o96b2o3b5ob
2o96bo5bo17b3o2bo6bo24bo99b2o2bo2bobo10b2o2b2o2b2o$30b2o3bo77bo42b3o
33b2o2b2o5b2o123b2o5b2o25b2o98b2o2b2o2b2o10b2o2bo2bobo$32b2obo76bobo
42b2o37b2o2bo2bo97b2obobo32b2o22b2o101b2o20b3o$112bobo39b2o44bobo98b2o
b2o19b3o11b2o21bo125b2o$33b3o77bo36b2o2b3o44bo101bo63b2o$33b3o114b2o3b
obo192bo16b2o$106bo2bo46b2o181bobo9b2o$106bob2o93b2o117b2o18bo7b2o$
105b2obo94b2o113b2obo2bob2o10bo4bo2b2o$105bo2bo91b2obo89b2o23bo4bo2b2o
10b2obo2bob2o$147b2o52b2o90b2o4b2o21bo19b2o$43b2o56bo43bob2o150b2o18bo
bo$37b2o4b2o55bobo41bo3b2o42b2o100bo19b2o$37b2o61bobo42b3o2bo40bo2bo3b
2o93bobo18b2o$22b2o77bo44b5o43bo3b2o92bo2bo$22b2o18b2obo40bo56b2o4bo
44bo18b2o76bo2bo69bo$43bobo41b2o53b2obo45b2obo18b2o147b2o$36bo7bo41b2o
21b3o31bobo10b2o33b2o98bo2bo68b2o73bo$34bobo6b2o63bo3bo33bo9b2o135b2o
132bo10bobo$35b2o6b2o22b2o5b2o32bo3bo2bo184bo125b3o9b2o$43b2o23bo5b2o
22b2o9b3o2bobo18b2o55b2o5bo99bobo123b3obo$25bo42bobo15bo11b2o13bo2bo
18b2o18b3o34b2o4b3o98bobo62bo61bo3bo$24bobo42b2o16b2o25b2o39b2o41b4o
98bo61b2o63bo3bo$24bobo46b2o11b2o70b2o41b2o100b2o58b2o63bob3o$25bo46bo
bo82b3o41b2o99bo2bo2b2o119b3o$69b2o2bo68bo4b3o6bobo43b3o97bo2bobo2bo
119bo4bo$28b3o110bobo2bo3bo5b2o47b2o95bo2bobo2bo124b2o$28bob5o33bo3bo
67b3o3b2o3bo151b2o2bo2bo123bobo$28b5obo32bo4bo66b2o5bob3o157b2o$32b3o
31bobobo68bobo7bo162bo126bo$65bobobo70bo5bo164bobo124bobo$37bo25bo4bo
15bobo117b2o105bobo50bobo70bo3bo$36bobo24bo3bo17b2o119b3o103bo51b2o72b
o3bo$36bobo46bo122b2o155bo73bo3bo$37bo4b2o21b2o141b2o72bobo155bo3bo$
43bo165b4o69b2o110b2o2bo16b4o22bobo$43bobo25b2o137b3o47bo22bo106b2o2b
2o3bo10b2o7bo22bo$44b2o25b2o69bo5bo62bo178b2o7bo10b2o2b2o3bo$139bo7bob
o108bob3o34b2o15b2o79b4o15b2o2bo$138b3obo5b2o110b2obo33b2o15b2o$22b2o
15b2o25bo70bo3b2o3b3o87b2o15b2o5bob2o175b2o$22b2o15b2o25bo71bo3bo2bobo
30bo17b2o15b2o21b2o15b2o6b3obo173b2o$139b3o4bo29b2o18b2o15b2o109bo2bo
27bo55b2o8b2o$57bo119b2o11b2o56b3o12bo64bo24b2o56b2o7bo2bo$56bobo189bo
bo73bo3bo25b2o65b2o$56bobo130bo3bo53b2o3bo72b4o73b3o21bo$57bo77b2o15b
2o34bo4bo56bo148b3o3bo19bobo$135b2o15b2o33bobobo47b2o3bobo6bo143b3o3b
2o19bo3bo$61bobo122bobobo5b2o15b2o23bo2bob7o95b2o51bo2b2o22bo2bo$59b2o
bo2bo118bo4bo6b2o15b2o24b10o3bo17b2o73bobo50bo2bo$61bo2bob2o108b2o6bo
3bo51b3o8bo18b2obo71bo53b2o24bo2bo$63bobo56bo52b4o81b3o11bo53bo96bo3bo
$39b2o82b2o49b2ob2o7b2o74bo8bo54b2o98bobo$38bobo28bo52b2o51b2o84bo10bo
b2o51b2o98bo$40bo27bobo203b2o100b2o16bo7b2o27b2o$26b2o40bobo140bo164b
2o15bobo6b2o26bo2bo$4b2o20b3o40bo109bo30bobo180bo2bo34b2o$2o2b2o2b2o
10b2o2bo2bobo92bo87bobo26bo8b3o77bo67bo16b2o24b2o$2o2bo2bobo10b2o2b2o
2b2o30bo62b2o52b3obo29bo26bo3b10o74b2o64bo3bo16b2o24b2o$6b3o15b2o34bo
61b2o52bob2o24b3ob3o30b7obo2bo74b2o63bo2bo$6b2o67b2o15b2o82b2obo30bo
26bo6bobo3b2o141b2o$49b2o24b2o15b2o80bob3o21b2o38bo16b2o$49b2o3b2o15b
2o56bobo77b2o27bo3b2o13b2o$7b2o10bo11b2o13bo7b2o15b2o57b2o44bo23bo39bo
bo143b3o2b3o20bo$7b2o8bobo10bo2bo12b2o82bo69b3ob3o33b3o170bobo$17b3o
11b2o166bo57b3o149bob3o3b2o$47bo42bo107bobo35b2o20b2o125b2o22bo2bobo2b
2o$12b2o5b2o21bo3b2o41b3o28bobo75bobo35b2o17b2o71bobo53bo2bo21b2o5b3o$
12bobo3bo2bo18b2ob2ob2o40b5o28b2o76bo45bo9b3o70b2o53bo3bo28bo$14b2o3bo
13bo7bob3o41b2o2bobo27bo70b2o49bo3bo8bobo70bo41bo11bo20b2o11bo$15bobo
3bo9b2obo4bob2o44bo4bo99b2o49bo3bo9b2o111b3o10bo2bo17b2o10b2o$15bo3bob
o6b3obo7bo42b3o2bo154bobobo3bo118bob2o2b2o6bobo7bo21bo$19bobo4b2ob2ob
2o217b2o118b3o2b2o7bo8bobo$26b2o3bo159b2o52b2o6bo117b2o21b2o23b2o$26bo
164b2obo18b2o30b2o3bobo148b2o15b3o$41b2o151bo18b2o30b2o3bo57bo88b2o2b
2o2b2o10bobo2bo2b2o$26b2o12bo2bo36bo2b3o108bo3b2o108bobo86bobo2bo2b2o
10b2o2b2o2b2o$27bo13b2o33bo4bo11bo48bo48bo2bo3b2o46bobo59b2o88b3o20b2o
$23b2o24b2o24bobo2b2o11b2o45b2o50b2o53b2o70bo79b2o$23b2o24b2o25b5o11bo
bo46b2o174b2o$77b3o238b2o$78bo17b2o29b2o73b2o53b2o$96bo2bo27b2o73bobo
46b2o4b2o$251b2o$96bo2bo104b3o174b2o$95bo2bo27bob2o75bo50b3o122bobo$
75b2o18bobo28bobo70bo5bo50b2o123bo$75b2o19bo30bo30bo40b2o2b2o54b2o31bo
$90b2o29b2o4b2o30b2o37b2o3b2obo51b3o29b2o$90b2o4b2o23b2o4b2o29b2o32b2o
8bo3b2o49bobo31b2o$96b2o29b2o63b2o9b2ob2o49b2o2$87bo$87b2o28b2o39bo34b
2o97bo69bo$86bobo29bo40b2o30bob2o95b2o$86bo28bobo40b2o31bo99b2o67bob3o
$87bo26bo21bo54bo170b2obo$85bo28bo2bo4bo12b3o53bo2bo167bob2o$84bo31bo
4bo12b2obo27bobo24b2o169b3obo61b2o$88bo25bo6bobo10b3o29b2o239b2o20b3o$
86bob2ob2o21bob2o3b2o12b2o29bo198bo37b2o2b2o2b2o10b2o2bo2bobo$86bo3b3o
3b2o15b2ob2o9b2o274b2o2bo2bobo10b2o2b2o2b2o$86bob2o4bo2bo15bo3bo9b2o
280b3o15b2o$87bo68bobo133bobo78b2o34b2o$94bo2bo8b2o49b2o133b2o88b2o38b
obo$95bo2bo7b2o18b2obo27bo135bo77bo3bo6b2o38bobo$96bobo20bo7bobo241bo
4bo25bobo5b2o$97bo22b2o6bo244bobobo23bo2bo5b2o12b2o$117b2ob2o5b2o245bo
bobo25bo9b2o5bo$96b2o19b2ob2o5b2o246bo4bo18bo3bo10b2o4bob4o$96b2o18bo
2bo7b2o197b4o16bo2b2o25bo3bo18bo2bo11bo6b2o2bo$109bo7b3o152bo52bo7b2o
10bo3b2o2b2o43b2o15bobo4bo2bo$108bobo8b2o151bobo50bo3b2o2b2o10bo7b2o
22b2o19b2o15bobo4bobo$108b2o5b2obo153b2o52bo2b2o15b4o42b2o4b2o$110bo4b
2o50bo115bo108b2o$115b2o51b2o111b2o91b2o16b2o$167b2o113b2o90b2o13bo2bo
$332b2o12b2o18b2o20bo3bo$332b2o9bo3bo17bo2bo18bo$366b2o19bo2bo$114b2o
219bo7bo4bo38bobo$114b2o4bo214bobo11bo32b2o24b2o$112bob2o5b2o212b3o7bo
2bo2b2o9bo19b2o24b2o$110b2o8bobo71bo61bo88bo5b2o7b5o$111b3o7bo4b2o67b
2o57b2o103bo4bo$111bo2bo12bo66b2o59b2o102b5o7bo$109b2ob2o13bobo25b2o
204bo8bob2o$109b2ob2o14b2o25b2o215b2o$109b2o40bo219b3o$111bo38bobo41bo
61bo99b2o$106b2o15b2o27b2o41b2o57b2o99bo2bo16bo$106b2o15b2o24b2o2bo40b
2o59b2o99b2o16bobo$149bo198b2o23bo2bo$141b2o2b2obob2o196b2o24b2o$140bo
10bo49bobo$141bo9bo50b2o$141bo4b4o52bo$143bo2$192bobo61bobo$193b2o61b
2o$193bo63bo$151bo$145b4o4bo$143bo9bo$110b2o31bo10bo$88b2o20b3o30b2obo
b2o2b2o$84b2o2b2o2b2o10b2o2bo2bobo31bo90bo$84b2o2bo2bobo10b2o2b2o2b2o
3b2o22bo2b2o90bobo$90b3o15b2o6bobo22b2o70bo22b2o$90b2o26bo23bobo58bo9b
2o32bo$133b2o8bo60b2o6bobo30b2o$133b2o3b2o15b2o46b2o20b3o18b2o$91b2o
12b2o31b2o15b2o68bo$91b2o12b2o22bo96bo14b2o$128bobo110bobo$102bo22bob
3o89bo21bo$89b2o10bob2o20b3o91b2o$101bobo23bo90bobo$102bo20bob2o$116b
3o4b3o$115b2obo$114bo$114b3o$112b3obo$111bobo$112bo107bo$220b2o$107b2o
24b2o84bobo$107b2o24b2o12$119b2o7bo16b2o$119b2o5bo2bo15b2o$125bo$125bo
$125bo51bo$126bo50b2o$127b3o46bobo$129bo131b3o$261bo$129b3o2b3o125bo
14b2o$105bo94b3o45b3o26bobo$104b2o4b4o22bo46bo18bo45bo28bo$103bo3bo6bo
21b3o44b2o16bo47bo$103b2ob2o4b3o24bo42bobo$104bob2o32bo$104bo12b2o21bo
$104bo12b2o21bo58b2o49b2o$105b2o21bo7bo2bo5b2o53b2o47b2o$105bo23bo7bo
7b2o52bo51bo$127b3o$101bo18b2o$96b3ob2o2b2o10b4o4b2o58bo$96b4o4b2o10b
3ob2o2b2o58b2o$100b2o19bo61bobo3$117b2o$117b2o3$117b3o$118b2o111b2o24b
2o$115b2o114b2o23bo2bo$107bo7b3o121b2o18bo$105bo10bobo119bo2bo13bo$
104bo3bo8b2o120b2o14bo$104bobob2o143bo$105b2ob2o13b2o128bo4bo$105b2o2b
o133bobo7bo4bo$106b2ob2o10bo3bo116bo2bo9b2o$107bobo11bo4bo14bo101bo2bo
$108bo14bobobo13b2o91bo9bo2bo$124bobobo11bobo91bo9bobo$125bo4bo166b3o$
126bo3bo166bo$249b2o47bo14b2o$117b2o8b2o2bo32b3o81bo2bo32b3o26bobo$
111b2o4b2o11bobo14bo18bo82b2o33bo28bo$111b2o18b2o14b2o16bo91b2o26bo$
96b2o29b2o17bobo80bo2bo24b2o$96b2o18b3o7bobo99bo$116b2o8bo5b2o94bo3bo
2b3o132b2o$119b2o4b2o5b2o29b2o63b4o5bo48b2o82b2o$118b3o43b2o68bo2bo18b
2o15b2o10b2o$117bobo43bo70bobo19b2o15b2o12bo$117b2o115b2o133b3o$111bo
157bo99b2o$110bobo35bo63bobo53b3o101b2o$110bobo35b2o14b2o15b2o7b2o19bo
19b2o30bo4bo2bo99b3o9bo$111bo35bobo14b2o15b2o3b2obo2bob2o10b2o2bo4bo
16bo31bobo3b3o97bobo8bo3bo$107bo78b2o2bo4bo10b2obo2bob2o13b3o27b2o10b
2o97b2o9bo3bo$103bo3b2o82bo18b2o17bo29bo4b3o4b2o104bo3bobobo$102b2o3b
3o82bobo64b2ob2o3b5o104b2o$101b3o3b2o126b2o24bo7b2o104bo6b2o$102b2o3bo
127bobo138bobo3b2o$103bo63bo39b2o8b2o159bo3b2o$99bo66bobo26bo11b2o7bo
2bo$98bobo64b2ob2o23b5o19b2o13bo147bobo$98bobo65bo2bo3bo19b2o2b2o33bo
147b2o$99bo68bo4bo20b2o2bo31b3o$128bo40bo3bo21bo2bo23bo9bo2bo24b2o7bo$
129bo65b3o22b2ob2o34b5o3b2ob2o98b2o$127b3o91b4o33b2o4b3o4bo98b2o4b2o$
173bo3bo43b2ob2o32b2o10b2o104b2o$173bo4bo31bo2bo9bo28b2o4b3o3bobo124b
2o$96b2o15b2o58bo3bo2bo32b3o36b2o5bo2bo4bo102b3o18b2o$96b2o15b2o49b2o
11b2ob2o31bo46b3o108b2o$164bobo11bobo32bo13b2o32bo106b2o$164bo14bo46bo
2bo21b2o115b3o$160b2o65b2o22b2obo18b2o58b3o33bobo$160b2o46bobo24b2o17b
o18b2o58bo36b2o$160b2o47b2o24b2o17bo79bo14b2o26bo$132b2o26bo90bo2bo9b
3o53b3o26bobo24bobo$111bo20b2o2b2o21bobo90b2o9b5o52bo28bo26bobo$91bo
19b2o23bobo20bob2o18b2o79bo2bo2bo52bo55bo4bobo$90bobo17bobo24bo43b2o
75b3o119b2o$89bo3bo47bo24b2o90bo5bo114bob2ob3o$90bo3bo39b2o4bobo17b2o
4b2o90b3o3b2o113bo5b3o$91bo3bo39bo3bo3bo16b2o98bo61b2o55b3o5bo$92bo3bo
35b3o5bo3bo119bo7b2o24b2o21b2o57b3ob2obo$93bobo36bo8bo3bo115bo2bo7b2o
24b2o23bo61b2o$94bo47bo3bo23b2o90b2o118bobo4bo$98bo44bobo24bobo215bobo
$97bobo12bo31bo25bo120b4o93bobo$98b2o12b2o24b2o112b2o26b2o9b2obo94bo$
94b2o15bobo8b2o13bo2bo30b2o79b2o4b2o21bo7bo2b2o121b2o$93bobo26b2o9b3o
2bobo26bo3bo2bo83b2o18b2obo6bo126b2o$93bo5b2o31bo3bo2bo26bo2bob3o103bo
bo9bo68bo$92b2o5b2o31bo3bo29b3obo82b2o26bo8bo66bo$133b3o24b2o5bob3o79b
ob2o27bo9bobo62b3o54b2o$160b2o11bo77bo31bo6bob2o80b2o15b2o21b2obo$160b
2o89bo26b2o2bo7bo83b2o15b2o24bo$125bo35bo89bo2bo22bob2o9b2o125bo3b2o$
124bobo33bobo89b2o23b4o133bo2bo3b2o$124bobo32b2obo252b2o$125bo$65b4o
16bo2b2o182b2o$64bo7b2o10bo3b2o2b2o35bo2bo27b2o110b2o46bo2bo$64bo3b2o
2b2o10bo7b2o35b2obo27b2o162bo100bo$65bo2b2o15b4o41bob2o186bo3bo99b4o$
130bo2bo187b4o98bo3bo$113b2o141b2o15b2o147bo3b2o$113b2o22bo118b2o15b2o
148b3o$74bo10b2o8b2o39bobo284bo5bo$74b3o8b2o7bo2bo38bobo285bobob2o$75b
o19b2ob2obo35bo203bobo25b3o43b2o10bobo$98bo2bo16b2o178b2o19b2o19bo28bo
45b2o8b2o$73bo6b2o16bo19b2o178bo16b2obo2bob2o10b2o2bo4bo25bo14b2o$72bo
b2o5bo36b2o9bo141bo27b3o13b2o2bo4bo10b2obo2bob2o40bobo48b2o$72bob2o2bo
bo17bo4bo14bo9bo140b2ob2o27bo18bo18b2o44bo30b2o18b2o$76b3o19bo4bo13bob
o7bo2bo138b2ob2o47bobo90bob2o$72b3o3bo19bo4bo13bob2o7bobo8b2o128bo2b2o
20b2o118bo$72b2o65b2o123b3o2b2o23b2o118bo$103bo20b2o210b2o76bo2bo5b2o
5bo11b2o$100bo2bo14b2o4b2o188b2o20b2o20b2o55b2o5bo2b2o2bobo10b2o$100bo
b2ob2o11b2o193bo2bo9bob2o27b2o63b2ob2o2bo2bo$104bo2bo194b2o8bo3bo7bo3b
2o29bo62b2o8bo9bo$105b2o153b2o2b3o34bob2o8b3o8bo5bo96bo5bo7bobo$87b2o
24b2o142b2o2bo38b2o8b2o12bo3b2o94bo6b2o8bo2bo$87b2o24b2o142b2ob2o11b2o
26bo9bo13bo3bo95bobo14bo2bo$257b2ob2o12b2o52bo119b2o$259bo13bo30bo9bo
9b3o115bo2bo2b2o$277b2o25b2o8b2o126b2o$128b2o146bo2bo20b3o8b2obo$127bo
2bo148bo19bo3bo8b2o115bobo$127bo2bo148bo19bo2bo121b2o6bo$118b2o7bobo
146b2obo20b2o34b2o24b2o59bo5bo$118b2o4b2o130b2o18b2o58b2o24b2o60bo8b2o
$118b2o4b2o130b2o36b2o24b2o32b2o68bo2bo2b2ob2o17bo$119bo151b2o21b2o24b
2o31bo2bo68bobo2b2o2bo16b3o$118bobo150b2o4b2o70bob2ob2o70bo5b2o$117b2o
bo156b2o70bo2bo98b3o$352bo98bobob2o$442b2o8b2obo$118b2o147b2o78bo4bo
66b2o15b2o4b2o9b2o$118b2o148b2o77bo4bo66b2o15b2o$267bo79bo4bo90bo19b2o
$267bo174bobo18b2o$266b2o79bo93bo2bo$347bo2bo45bo43bo2bo$265b3obo2bo
71b2ob2obo43b2o$272bo70bo2bo48b2o8b3o32bo2bo15b2o$267b3ob2o4b2o65b2o
59bo36b2o10b3o2b2o$268bo7bo2bo56b2o68bo14b2o30bo3b2o$276bo59b2o35b2o
46bobo28bo5bo$276bo95b4o45bo29bo3bob2o$276bob2o92b2ob2o75bo5bo$278b2o
41b2o51b2o81bo$320bo2bo13b2o102bobo10bo2bo$320bobo2b3o9b2o102b2o$277b
2o42bo2bo3bo113bo$277b2o45bo3bo124bo2bo$325b3o77b2o46bo$362b2o19b2o20b
3o44bo5bo$362bo16b2o2b2o2b2o10b2o2bo2bobo43b2obo3bo$335bo27b3o13b2o2bo
2bobo10b2o2b2o2b2o43bo5bo$334bobo28bo19b3o15b2o47b2o3bo$334bobo48b2o
63b2o2b3o$335bo22b2o90b2o$358b2o$328bo2bo44b2o8b2o10bo$328bob2o42b2o2b
o7b2o8bobo$327b2obo41b3ob2o18b3o47b2o15b2o$327bo2bo41bobo71b2o15b2o$
391b2o5b2o$323bo67bobo3bo2bo30b2o$322bobo68b2o3bo28b2o2b2o$322bobo43b
3o2b3o18bobo3bo25bobo$323bo70bo3bobo26bo$341b2o55bobo22bo$341b2o79b3o
4b2o27b2o$331bo9b2o26bobo49bob3o3bo27b3o20b2o$332bo9bo23b2ob3o48bo3bo
5b3o23bobo2bo2b2o10b2o2b2o2b2o$330bo2bo7bobo21bo2b2o49bo3bo8bo23b2o2b
2o2b2o10bobo2bo2b2o$320b2o8bobo7b2obo22b2o50b3obo37b2o15b3o$320b2o36b
2o24b2o33b3o56b2o$335b2o21b2o24b2o34bo14b2o$335b2o4b2o92b2o$341b2o100b
2o18b2o$442bo2bo11b2o4b2o$443b2o12bobo12bo$448bo8bo13b5o$447b3o20bo3b
3o$446b5o20b2o5bo$472b4o$473b2o2bo$331b2o142b2o$330bo2bo113b5o$330bo2b
o114b3o$331bobo7b2o106bo$335b2o4b2o110b2o$335b2o4b2o109bo2bo$341bo111b
2o$340bobo92b2o24b2o$340bob2o91b2o24b2o3$341b2o$341b2o!

Or if you prefer p690, here's Nathaniel's original version.

[gmc_nxtman]

Long ship to mango with B + Blinker:

Code: Select all

x = 17, y = 10, rule = B3/S23
15b2o$14bobo$13bobo$o12b2o$o$o$3b2o$4b2o$3b2o$3bo!