Spaceship Discussion Thread

[wwei47]

viewtopic.php?f=2&t=4941&p=115727#p115725
I feel like 23c/69 is worth revisiting. While it reduces to c/3 (a known velocity), and while it isn't *really* a crawler, it would have a "pufferfish-like" component that is entirely P69 without being directly supported by a c/3 frontend the way a regular frothing puffer would be. I have a vague blueprint but no idea how to actually implement it: coax gliders out of the fuse, synthesize forward XWSSes, then use sparkers at the front to lay out the blocks that the fuse burns. Note that since XWSSes are also orthogonal, we need to sideshoot the blocks so that any given XWSS doesn't crash into the block from the previous XWSS. Likely, we'd turn our XWSS into a glider, then turn that glider into a block once it's had time to move out of the way.

[Sokwe]

I feel like 23c/69 is worth revisiting. While it reduces to c/3 (a known velocity)...

It reduces to a known velocity, but if it can be completed at the minimum period, then it would be a new period at that velocity. It also has the advantage that we can use sparkers and edge-repair spaceships to modify the fuse reaction and hopefully generate useful crawlers without the need for large numbers of mutually stabilizing fuses. Back when I last considered this problem (probably over 10 years ago), we didn't seem to have sufficient components to construct a period-69 helix at the correct speed. Has that changed in the last 10 years?

[wwei47]

Back when I last considered this problem (probably over 10 years ago), we didn't seem to have sufficient components to construct a period-69 helix at the correct speed. Has that changed in the last 10 years?

You don't need an entire helix, since you can use sparky c/3 spaceships to burn XWSSes instead.

[PK22]

I think we need c/3 spaceships with strong side sparks if we want to avoid helices - this is how much distance we have between xWSSes:

Code: Select all

x = 33, y = 27, rule = B3/S23
11b2o$11b3o$10bob2o$10b3o$11bo7$11bobo$10bo$10bo$10bo2bo$10b3o4$9bo$5b
o4bo$4bo14bo$o3bob4o8bo3bo3bo3b2o$b2o3bob2o2b4ob5o2b2o6bo$2b4o4b2o2bo
b2o3b2obob2ob3o$4bo6bo5bo6b2obo$12bob3o!

It's probably easiest to use a salvo of c/3 side sparkers to turn a xWSS into a forward glider (they have more time to get out of the way of the next xWSS), then convert that to a block with another c/3 spaceship.

[Sokwe]

It's perhaps worth noting that the 23c/69 fuse can also be supported by gliders:

Code: Select all

x = 106, y = 292, rule = B3/S23
105bo$103b2o$104b2o38$87bo$86bo$86b3o39$69bobo$69b2o$70bo38$52bo$52bob
o$52b2o38$36bo$34b2o$35b2o17$22bo$21b3o$20b2o2bo4$19bo18b2o$20b2o16b2o
b2o$20b4o2b2o4b2o4b2o2b4o$21b2o3bo5b2ob2o4bo4bo$24bobobo3bo2b2o7b2o$
19bobob2o4bo5b2o$21bo3bo$7bo11b3o$5b4o$b2ob2o3bo3bo$b2o2bo5b4o$o2bo7bo
3bo$9bo2bobo$10bo5$21b3o4$19b2o$19b2o5$23b2o$23b2o2$30bo11b2o5b3o9b2o$
29b3o10b2ob2obobob2o7b2ob2obo$28bo2b2o8bobo2bobobo3bo4b2o3bob3o$27b3ob
2o8bo2bo3b2obobo4bobobob2o3bo$28b5o7bo2b4obobo5b3obob3o3bo$30bo12bob2o
bobo2b2ob2o2bo3bo$40bo4b4o6b2o2bo2b2o$39b3o9bo4bo5b3o$37b2o3bo6bo6bo3b
2o2b2o$22bo14b3o3b2o2bo8b2o3b2o$22bo15b2o3bo12bo4b2ob2o$22bo33bo3$19b
2o$19b2o3$31bo2b3o$21b2o8bo$21b2o7b5o3bo$33b2o3bo$33b2o3bo$30b3o2bo$
31b5o$31b3obo7$22b2o$21bo$22b2o$23b2o3b2o$22b3o5bo$23bobo3b2o$24bo3b3o
$29b2o$26b2o2bo$25b2o$21b2o2b2ob2o$21b2o4bo13$42b2o5b3o9b2o$42b2ob2obo
bob2o7b2ob2obo$41bobo2bobobo3bo4b2o3bob3o$41bo2bo3b2obobo4bobobob2o3bo
$40bo2b4obobo5b3obob3o3bo$43bob2obobo2b2ob2o2bo3bo$40bo4b4o6b2o2bo2b2o
$39b3o9bo4bo5b3o$37b2o3bo6bo6bo3b2o2b2o$37b3o3b2o2bo8b2o3b2o$38b2o3bo
12bo4b2ob2o$56bo$27b5o$26bo$25bo8b2o$24bob2obo5bo$25bo4b2o4b2o$31bo2bo
b2o$35b2o!

It's an extremely long shot, but I'm wondering if LLSSS could find a p3 edge-repair spaceship capable of replacing the blocks in the 23c/69 fuse directly.

[dvgrn]

We must have enough technology to support a 23c/69 fuse, even if we have to build a pseudo-period glider stream -- or synthesize a block trail for the fuse to eat, using multiple higher-period rakes. What is the lowest period for a spaceship that uses cycling xWSSes and gliders and so on, that is supported by known tech?

It looks like the example from Golly has a key piece or two that won't work at any period lower than 159 ... notably the conversion of the forward LWSS to a forward glider. So one early line of research will be coming up with some way to spark an xWSS stream (or xWSS salvo stream) that produces gliders successfully every 69 ticks -- right?

The early parts of the p159 rake do work just fine at period 69, so it looks like we can split a glider into two gliders, and we can make block trails with the right spacing. Seems like it's just the mechanism that produces backward LWSSes that only works at 2x69:

Code: Select all

x = 282, y = 358, rule = B3/S23
280b2o$279b2o$281bo4$262b3o$262bo$263bo3$246bo$245b2o$245bobo4$228b2o
$228bobo$228bo4$211b2o$210b2o$212bo9$177bo$176b2o$105bob2o19b3o45bobo
$104b2ob2ob2o16b3o$103bo2bobo2bo15bo3bo$104bo5b2o4b2o$113b2ob2o8bo5bo
$113b2o3bo7b2o3b2o$113b2o13bo4b2o$123b2obobob2o$113b2o8b2obobobo3bo$113b
2o8b3ob4o$112bo2bo7b3o3b2o11b2o$112bobobo4b2o5bo12b2o$112bobo28bo$109b
2obobob2o3bo2b2o$109b2obobo$112bobobobo$111bo2bo3bo$109b3ob2o2b2o$118b
o$111bo2b2o$95b2ob3o15bo$95b2o4b2o$94bo2bobo3bo$101b3o2b3o$103b3obobo
$103bo4bo$104b2o2$104b2o$103bo2bo$103bo2bo$102b2obo$103bobob2o$100b2o
bobo$100b2obobobo$101bobobo2bo$102bo2bo3b2o$101b5o2b3o$102b3obob2o$106b
o$106bo2$143bo9bo$142bobo4b3ob3o$141bo3bo2bo6b2o$142b3o4b2o3bo2bo3bo$
159b4o$140b2o3b2o12bo3bo$140b2o3b2o10bo2bobo$139bo2b3ob2o10bo$138b2ob
2obo3b2o$146bo3bo7b2o$141bo3bo4bo6bo2bo$142bo2b3o9b2obo$143bo4b3o5bob
ob2o$150b2o6bobobo$155b2obobob2o$158bobo$154b2o2bobob2o$153bo3b2o$156b
2o4bo$153bobobo4bo$157bo2bo4$136bo$134b3ob3o$133b2o6bo$128bo3bo2bo3b2o
$127b4o$126bo3bo$127bobo2bo$131bo$138b3ob2o$136b2o4b2o$135bo3bobo2bo$
130b3o2b3o$129bobob3o$130bo4bo$133b2o$31bo$29b4o$28b2o3bo$27bo5b3o$30b
obo4b2o$27bob4o4b2o$26b8ob4o63b2ob3o20b3ob2o$26b2o74b2o4b2o16b2o4b2o$
31bo5b2o62bo2bobo3bo14bo3bobo2bo$30bobo3bo2bo68b3o2b3o4b3o2b3o$33bobo
2bo71b3obobo2bobob3o54bo$31b4o75bo4bo4bo4bo53b4o$31b4o76b2o10b2o53bo3b
2o$25b3o5bo2bo139b3o5bo$21bob2o3bo103bo40b2o4bobo$20b3o3bobo99b3ob3o38b
2o4b4obo$19bo3bo4b2o97bo6b2o37b4ob8o$20bo7b3o97b2o3bo2bo3bo43b2o$26bo
bo109b4o31b2o5bo$25b2o111bo3bo29bo2bo3bobo$24bo3bo107bo2bobo31bo2bobo
$28bo108bo39b4o$25bob2o96b2ob3o46b4o$20bo4bo99b2o4b2o42bo2bo5b3o$19bo
bo3b3o96bo2bobo3bo49bo3b2obo$18bo3bo108b3o2b3o44bobo3b3o$19b2obo3bo106b
3obobo42b2o4bo3bo$24b2o107bo4bo42b3o7bo$134b2o47bobo$12b2o10bo2bo157b
2o$10bob2o10bobo156bo3bo$9b2o3bo168bo$9b2o172b2obo$2bob4o2b2o174bo4bo
$b2ob4o7b2o167b3o3bobo$o2bob2o2bo5b2ob2o115b2ob3o20b3ob2o22bo3bo$bo7b
o3b2o3b2o115b2o4b2o16b2o4b2o18bo3bob2o$6b2o2bob2o3b3o114bo2bobo3bo14b
o3bobo2bo18b2o$9b2obo128b3o2b3o4b3o2b3o$16b2o125b3obobo2bobob3o25bo2b
o10b2o$143bo4bo4bo4bo26bobo10b2obo$17bo126b2o10b2o39bo3b2o$17bo183b2o
$16bobo181b2o2b4obo$16bo178b2o7b4ob2o$192b2ob2o5bo2b2obo2bo$192b2o3b2o
3bo7bo$192b3o3b2obo2b2o$199bob2o$194b2o2$194bo$6bob2o184bo$5b2ob2ob2o
180bobo$4bo2bobo2bo182bo$5bo5b2o4b2o$14b2ob2o$14b2o3bo36b3o$14b2o39bo
3b2o$54bo2bo3bo$51bob2o6bo$50b2ob2ob3o$49bo2b2obo3b3o140b2obo$61b2o136b
2ob2ob2o$50bo148bo2bobo2bo$50b2o4b3o134b2o4b2o5bo$50b3o3b2o135b2ob2o$
52b2o2b2o95b3o36bo3b2o$52b3o96b2o3bo39b2o$53bo2bo93bo3bo2bo$54bo95bo6b
2obo$153b3ob2ob2o$150b3o3bob2o2bo$149b2o$161bo$153b3o4b2o$154b2o3b3o$
154b2o2b2o$60bo96b3o$59b4o92bo2bo$58bo3b2ob2o90bo$58bo3bo2b2o$56bo7bo
2bo$56bo$58bob2o$60b2o$59bobo$57b2o$58b3o90bo$58bo2b2o3bo82b4o$60b2o3b
3o77b2ob2o3bo$33bo25bobo2bo3bo76b2o2bo3bo$32bobob2o23bobobobo76bo2bo7b
o$31bo4b2o23bo93bo$28bob2o3bo2bo22b2o87b2obo$27b2ob2obo27bo88b2o$26bo
2b6o26bo88bobo$22b2o9bo2bo116b2o$11b2ob3o4b2obo3bo3bo3bo114b3o$11b2o4b
2o2b2ob3ob2o2bo2b2o108bo3b2o2bo$10bo2bobo3bob2o5b2o3bo2bo107b3o3b2o$17b
3o5b2o5bo110bo3bo2bobo25bo$19b3obo120bobobobo23b2obobo$19b2o129bo23b2o
4bo$149b2o22bo2bo3b2obo$150bo27bob2ob2o$150bo26b6o2bo$175bo2bo9b2o$175b
o3bo3bo3bob2o4b3ob2o$175b2o2bo2b2ob3ob2o2b2o4b2o$175bo2bo3b2o5b2obo3b
obo2bo$21b3o155bo5b2o5b3o$24bo163bob3o$24b2o165b2o$19b3o2b2o2b2obo$13b
2o4bo5b2ob2ob2o$13b2ob2o4b2obo3b2o2bo$12bo3b2o6b4o$16b2o8b2obobo$29bo
$31b2o$29bo2b2o154b3o$26b2ob3o155bo$24b3o5bo2bo150b2o$23bo3bob4obo145b
ob2o2b2o2b3o$14bo6bo4b2o151b2ob2ob2o5bo4b2o$10b3ob2o4b2o4bo151bo2b2o3b
ob2o4b2ob2o$9bo5b2o2b2o2bo3bo156b4o6b2o3bo$10b2o5bo2bobo2bo154bobob2o
8b2o$15bo4b3obo157bo$14bob3o2b3o46b3ob2o103b2o$17b3o3b2o43b2o4b2o102b
2o2bo$14bo2bo49bo3bobo2bo103b3ob2o$16bo45b3o2b3o106bo2bo5b3o$61bobob3o
109bob4obo3bo$62bo4bo116b2o4bo6bo$65b2o118bo4b2o4b2ob3o$184bo3bo2b2o2b
2o5bo$65b2o119bo2bobo2bo5b2o$64bo2bo119bob3o4bo$10bo11bo41bo2bo68b2ob
3o46b3o2b3obo$8b4o6b3ob3o40bob2o67b2o4b2o43b2o3b3o$4b2ob2o3bo4bo6b2o36b
2obobo67bo2bobo3bo49bo2bo$4b2o2bo3bo5b2o3bo2bo3bo34bobob2o71b3o2b3o45b
o$3bo2bo7bo13b4o31bobobob2o73b3obobo$14bo13bo3bo29bo2bobobo74bo4bo$9b
2obo13bo2bobo28b2o3bo2bo76b2o$9b2o16bo32b3o2b5o$9bobo49b2obob3o76b2o$
12b2o50bo79bo2bo$10b3o51bo79bo2bo41bo11bo$4bo3b2o2bo130b2obo40b3ob3o6b
4o$3b3o3b2o133bobob2o36b2o6bo4bo3b2ob2o$2bo3bo2bobo129b2obobo34bo3bo2b
o3b2o5bo3bo2b2o$3bobobobo131b2obobobo31b4o13bo7bo2bo$9bo132bobobo2bo29b
o3bo13bo$8b2o133bo2bo3b2o28bobo2bo13bob2o$9bo132b5o2b3o32bo16b2o$9bo133b
3obob2o49bobo$147bo50b2o$147bo51b3o$199bo2b2o3bo$201b2o3b3o$200bobo2b
o3bo$202bobobobo$202bo$202b2o$202bo$202bo23$174bo11bo$172b4o9b4o$171b
2o3bo7bo3b2o$168bobo4bo9bo4bobo$167b2o3bo7bo7bo3b2o$168bo3b2o5b3o5b2o
3bo$170bob2o4bo3bo4b2obo$149bo18b2o2bo6b3o6bo2b2o$147b4o21bo5b5o5bo$143b
2ob2o3bo3bo12bo3bob2ob2o3b2ob2obo3bo$143b2o2bo5b4o13b2o3bo9bo3b2o$142b
o2bo7bo3bo16bo2b2o3b2o2bo$151bo2bobo$152bo3$144bo$142b4o$138b2ob2o3bo
3bo$138b2o2bo5b4o$137bo2bo7bo3bo$146bo2bobo$147bo7$182bo$180b3ob3o$179b
2o6bo$174bo3bo2bo3b2o$173b4o$172bo3bo$173bobo2bo$177bo2$176b2o$175bo2b
o$175b2obo$174bobob2o$176bobobo$173b2obobob2o$176bobo$172b2o2bobob2o$
171bo3b2o$174b2o4bo$171bobobo4bo$175bo2bo!

So ... how much of existing c/3 technology are we allowed to borrow? Maybe just start by building a puffer that puffs block trails compatible with a 23c/69 fuse -- and then see if a way can be found to extract gliders from the actual fuse mechanism, and make use of them to build forward xWSS streams on either side of the fuse, that are converted into gliders that rebuild the blocks instead (or support the fuse directly)?

Here's the full c/3 p159 rake pattern from Golly, in case anyone wants a closer look:

Code: Select all

#N c3-forward-rake-p159.rle
#C (velocity-c3/rake-c3-p159.rle in jslife-moving collection)
#C Engineless p159 c/3 rake
#C Jason Summers, 2 Feb 2010
#C Most of the components were found by David Bell
#C https://github.com/Matthias-Merzenich/jslife-moving/
x = 473, y = 780, rule = B3/S23
254boob3o26boo$254boo4boo19b3obob3o$253bobbobo3bo14booboo3bo3boo5bo$
260b3obb3o5boobobb3obo3bo3bo3boob3o$262b3obobo4boo5boboboobbooboo8bo$
262bo4bo4bobbo3bo5b5obob3o3boo$263boo12bob3obboobboo3b4o$277boo3boo13b
o$263boo17boo4bo5bobo$262bobbo12bo10bo4bo$262bobbo11bobo$261boobo8b3o
3bo10bo$262boboboo4bobobo5b3o4b4o8b3o$259boobobo7bobobo4bo3boobo3boo8b
obooboo$259boobobobo6bobo5bobobbobobo3bo4boobo4boo$260bobobobbo12boo4b
obobbo6bobobo3bobbo$261bobbo3boo4bo7boobbobob7obobobo$249bo10b5obb3o4b
o8bo4bo5bo5bo3bo$224boob3o18bobo10b3oboboo10b3obboobboo4bo6boo$224boo
4boo15bo3bo13bo12b4o4b3o7boobbo4bo$223bobbobo3bo15b3o14bo11bo3b3o11boo
3bo3boo$230b3obb3o44b3o10b3o$232b3obobo7boo3boo19bo4bobo3boo10boo4b3o$
232bo4bo8boo3boo18b3o$233boo10boob3obbo17boboo$243boo3bobooboo17b3o$
233boo7bo3bo25boo$232bobbo6bo4bo3bo$232bobbo9b3obbo$231boobo7b3o4bo$
232boboboo3boo$229boobobo$229boobobobo$230bobobobbo$231bobbo3boo$230b
5obb3o$231b3oboboo$219bo15bo$215b3ob3o13bo5bo$214bo6boo16boo$215boo3bo
bbo3bo11boobo$225b4o10boo3bo$225bo3bo10boo3bo$223bobbobo13b3o$224bo$$
224boo$223bobbo$223boboo$222boobobo43b3o$221bobobo45bobbo$220boobobob
oo42bo$223bobo45bo$220boobobobboo42bobo$225boo3bo$221bo4boo$221bo4bobo
bo$223bobbo17$259b3o$261bo10bo$260bo10b3o$270boobo$270b3o$271boo5$256b
oobo$253boobooboo$253bobbobobbo$247boo4boo5bo38boo$247booboo48boo$246b
o3boo47bo$250boo$259bo$222bo34b3ob3o$221boo33boo6bo$221bobo27bo3bobbo
3boo$250b4o$249bo3bo$250bobobbo$254bo$237boo$237boo100boo$338bobo$271b
3o66bo$270bobbo$226bo22bo23bo$222b3ob3o18b3ob3o19bo$181b3o37bo6boo16b
oo6bo15bobo$181bo40boo3bobbo3bo6bo3bobbo3boo$182bo49b4o4b4o$105boboo
19b3o101bo3bobbo3bo$104boobooboo16b3o99bobbobo4bobobbo$103bobbobobbo
15bo3bo99bo12bo$104bo5boo4boo$113booboo8bo5bo246bo$113boo3bo7boo3boo
246boo$113boo13bo4boo243bobo$123booboboboo$113boo8boobobobo3bo305boo$
113boo8b3ob4o309booboo$112bobbo7b3o3boo11boo295boboboo$112bobobo4boo5b
o12boo295b3obboo$112bobo28bo290b3obobob3o$109booboboboo3bobboo307bo11b
oo$109boobobo319bobobbo$112bobobobo324bobbo$111bobbo3bo315boo5bo$109b
3oboobboo314bobbo3boo$118bo299b3o16bo$111bobboo156bo147bo16bo3bo$95boo
b3o15bo154b3o145bo17bo3bo4bo$95boo4boo168boboo163boo5b4o$94bobbobo3bo
168b3o169bo3booboo$101b3obb3o163boo170bo3bobboo$103b3obobo332bo7bobbo$
103bo4bo333bo$104boo338boboo$446boo$104boo339bobo$103bobbo336boo$103bo
bbo337b3o$102boobo338bobboo3bo$103boboboo337boo3b3o$100boobobo339bobo
bbo3bo$100boobobobo339bobobobo$101bobobobbo338bo$102bobbo3boo336boo$
101b5obb3o4bo331bo11b3o$102b3oboboo5boo330bo10boboboo$106bo9boo341bo$
106bo10boobo343boboo$117bobbo340b5obboboo$118bobo22bo9bo301b3o4bobo5b
oo$142bobo4b3ob3o297boobo7boo3bobbo$141bo3bobbo6boo285boo8bo3b5ob4obo$
142b3o4boo3bobbo3bo279boboo8bobobbobobobo$159b4o108b3o165bo5boo9bobboo
boo$117bo22boo3boo12bo3bo107bobbo164bo3bobo$117boo21boo3boo10bobbobo
108bo167bo5boboo6boo$117b3o19bobb3oboo10bo112bo167bobo6bo$119bo18boob
oobo3boo122bobo164bobo6bo5b3o$121bo24bo3bo7boo280bobbooboo8bo$116boo3b
o19bo3bo4bo6bobbo284bo9bo$116boo24bobb3o9boobo271boo$120bo22bo4b3o5bob
oboo270bobo$116bobbo30boo6bobobo270boo$117b3o35booboboboo$158bobo272b
oo$154boobboboboo268bobo$153bo3boo273boo$156boo4bo282bo16b3oboo$153bob
obo4bo277bobbooboo12boo4boo$150bo6bobbo278bobo6bo10bo3bobobbo$151boo
286bobo6bo5b3obb3o$153bo261bo23bo5boboo4bobob3o$150bobbo259b4o22bo3bob
o8bo4bo$136bo10b5o260boo3bo21bo5boo10boo$134b3ob3o9bo260bo5b3o21boboo$
133boo6bo3bo3bo264bobo4boo19boo$128bo3bobbo3boo3bo266bob4o4boo$127b4o
13bobo263b8ob4o$126bo3bo14bo264boo$127bobobbo139bo142bo5boo$131bo139b
3o140bobo3bobbo$138b3oboo126boobo143bobobbo$136boo4boo126b3o142b4o$
135bo3bobobbo126boo142b4o$130b3obb3o279bobbo$129bobob3o$88bo41bo4bo$
87boo44boo$31bo55bobo$29b4o$28boo3bo$27bo5b3o$30bobo4boo$27bob4o4boo
373boo$26b8ob4o63boob3o20b3oboo275booboo$26boo74boo4boo16boo4boo272b4o
bbobo$31bo5boo62bobbobo3bo14bo3bobobbo270bo4bo4bo$30bobo3bobbo68b3obb
3o4b3obb3o278boo7bo$33bobobbo71b3obobobbobob3o54bo234bo$31b4o75bo4bo4b
o4bo53b4o228b3o$31b4o12b3o61boo10boo53bo3boo226bo$25b3o5bobbo10bo128b
3o5bo226boboo$21boboo3bo19bo83bo40boo4bobo233bo$20b3o3bobo99b3ob3o38b
oo4b4obo226boo$19bo3bo4boo97bo6boo37b4ob8o219b3obbo3bo$20bo7b3o97boo3b
obbo3bo43boo219b3o5bo$26bobo109b4o31boo5bo90b3o130bo3bobbo27bo$25boo
111bo3bo29bobbo3bobo88bobbo134bobbo23b3oboo$24bo3bo107bobbobo31bobbobo
94bo137boo21bo5b3o$28bo108bo39b4o92bo136b3o22boo7boo$25boboo96boob3o
46b4o89bobo138boo26bo4boo$20bo4bo99boo4boo42bobbo5b3o251bo4b3o$19bobo
3b3o96bobbobo3bo49bo3boobo246boo3boo5b3o5bo$18bo3bo108b3obb3o34boo8bob
o3b3o232boo9boobboobb3obbo6b3ob3o$19boobo3bo106b3obobo32bobo7boo4bo3bo
226b3obo11b3oboo6boo5boo6bo$24boo107bo4bo35bo6b3o7bo226b5obo11booboobb
oo3b4obobbo3boo$134boo47bobo231b4o4bo$12boo10bobbo157boo229boo7bo25bo$
10boboo10bobo156bo3bo228bo4bo3bo3bo21bobo$9boo3bo168bo233bo3bobbo4bobo
bboo$9boo172boobo235b3o4bo6bo$bbob4obboo174bo4bo238bo4bo$boob4o7boo
167b3o3bobo238bo3bo$obboboobbo5booboo115boob3o20b3oboo22bo3bo239bo$bo
7bo3boo3boo115boo4boo16boo4boo18bo3boboo$6boobboboo3b3o114bobbobo3bo
14bo3bobobbo18boo262bo$9boobo128b3obb3o4b3obb3o288boo$16boo125b3obobo
bbobob3o25bobbo10boo247boobo$143bo4bo4bo4bo26bobo10boobo247bobbo$17bo
126boo10boo39bo3boo237boob3o6boo$17bo183boo237boo3boobb3oboobb3o$16bob
o181boobb4obo230b4o5bo4b3obobo$16bo178boo7b4oboo61bo170bobobboo4bo4bo$
192booboo5bobboobobbo59b3o168bobbo9boo$192boo3boo3bo7bo60boboo165boobb
o$192b3o3boobobboo66b3o164b4o$34boo163boboo69boo165bo3boo$34bobo157boo
243bob6o$26bo7b3o402boo6boo$25boboo5boo158bo244b4oboobbo$6boboo15bo3bo
4bo4boo153bo246boob3o3b3o4b3obo$5boobooboo13boobo8bobo152bobo250bo3boo
bobbobooboo$4bobbobobbo15bo9boo155bo250bo3bobbobb3obobbo$5bo5boo4boo
429bobo6bo4bo$14booboo9bo9boo361bo46bo3b3obbo$14boo3bo6boobo8bobo15b3o
338b3ob3o52boo$14boo9bo3bo4bo4boo14bo3boo335bo6boo43boo3bo3bo$25boboo
5boo18bobbo3bo335boo3bobbo3bo45boo$26bo7b3o14boboo6bo345b4o$34bobo13b
ooboob3o348bo3bo$34boo13bobboobo3b3o140boobo199bobbobo$61boo136booboob
oo199bo$50bo148bobbobobbo$50boo4b3o134boo4boo5bo199boo$50b3o3boo135boo
boo207bobbo$52boobboo95b3o36bo3boo207boboo41boobo$52b3o96boo3bo39boo
206boobobo37boobooboo$53bobbo93bo3bobbo17bo227bobobo39bobbobobbo$54bo
95bo6boobo14bo226booboboboo30boo4boo5bo$153b3obooboo12b3o94b3o131bobo
33booboo$150b3o3boboobbo108bobbo127boobobobboo28bo3boo$149boo21bo5bo
92bo135boo3bo31boo$161bo8bo9bo90bo131bo4boo$153b3o4boo7boo4bo4boo90bob
o128bo4bobobo$154boo3b3o6boo4b3o4boo222bobbo$154boobboo9bobb3ob3obbo$
60bo96b3o10bobo5bobo$59b4o92bobbo$58bo3booboo90bo12bobo5bobo$58bo3bobb
oo102bobb3ob3obbo268b3o$56bo7bobbo100boo4b3o4boo269bo$56bo112boo4bo4b
oo269bo$58boboo108bo9bo$60boo110bo5bo$59bobo$57boo115b3o$58b3o90bo23bo
$58bobboo3bo82b4o22bo$60boo3b3o77booboo3bo269bo5boo$33bo25bobobbo3bo
76boobbo3bo270bo$32boboboo23bobobobo76bobbo7bo267b3o$31bo4boo23bo93bo
267bobb3o$28boboo3bobbo22boo87boobo$27booboobo27bo88boo275boo$26bobb6o
26bo88bobo$22boo9bobbo116boo117bo$11boob3o4boobo3bo3bo3bo114b3o117b3o$
11boo4boobboob3oboobbobboo108bo3boobbo116boobo$10bobbobo3boboo5boo3bo
bbo107b3o3boo118b3o$17b3o5boo5bo110bo3bobbobo25bo92boo$19b3obo120bobob
obo23boobobo$19boo129bo23boo4bo$149boo22bobbo3boobo$150bo27bobooboo$
150bo26b6obbo$55boo118bobbo9boo$42b3o9bobbo117bo3bo3bo3boboo4b3oboo$
55bobo117boobbobboob3oboobboo4boo$56bo118bobbo3boo5boobo3bobobbo$21b3o
155bo5boo5b3o$24bo15bo147bob3o$24boo12bobbo149boo$19b3obboobboobo5bo3b
oo$13boo4bo5boobooboo6bo$13booboo4boobo3boobbo4b3o$12bo3boo6b4o$16boo
8boobobo17bobo$29bo18bo$31boo15bo$29bobboo14bobbo136b3o$26boob3o16b3o
136bo$24b3o5bobbo150boo$23bo3bob4obo145boboobboobb3o78b3o$14bo6bo4boo
151boobooboo5bo4boo71bobbo$10b3oboo4boo4bo151bobboo3boboo4booboo74bo$
9bo5boobboobbo3bo156b4o6boo3bo73bo$10boo5bobbobobbo154boboboo8boo74bob
o$15bo4b3obo157bo$14bob3obb3o46b3oboo103boo$17b3o3boo43boo4boo79boo21b
oobbo$14bobbo49bo3bobobbo77bobbo22b3oboo$16bo45b3obb3o84bobo19bobbo5b
3o$61bobob3o87bo21bob4obo3bo$62bo4bo116boo4bo6bo$65boo118bo4boo4boob3o
$184bo3bobboobboo5bo$65boo119bobbobobbo5boo$64bobbo119bob3o4bo$10bo11b
o41bobbo68boob3o30boo14b3obb3obo$8b4o6b3ob3o40boboo67boo4boo34bo8boo3b
3o$4booboo3bo4bo6boo36boobobo67bobbobo3bo26bobbo3bo15bobbo$4boobbo3bo
5boo3bobbo3bo34boboboo71b3obb3o21boobo20bo$3bobbo7bo13b4o31boboboboo
73b3obobo22bo$14bo13bo3bo29bobbobobo74bo4bo$9boobo13bobbobo28boo3bobbo
76boo$9boo16bo32b3obb5o$9bobo49boobob3o76boo$12boo50bo79bobbo$10b3o51b
o79bobbo41bo11bo70bo$4bo3boobbo130boobo40b3ob3o6b4o67b3o$3b3o3boo133bo
boboo36boo6bo4bo3booboo63boboo$bbo3bobbobo129boobobo34bo3bobbo3boo5bo
3bobboo64b3o$3bobobobo131boobobobo31b4o13bo7bobbo63boo$9bo132bobobobbo
29bo3bo13bo$8boo5b3o125bobbo3boo28bobobbo13boboo$9bo5bo126b5obb3o32bo
16boo$9bo6bo126b3oboboo49bobo$147bo50boo$147bo51b3o$199bobboo3bo214boo
$201boo3b3o212b3o$162bobo35bobobbo3bo211boobo$161bo40bobobobo213b3o$
161bo40bo220bo$161bobbo37boo$161b3o38bo$202bo9$271b3o$271bobbo$271bo$
271bo$272bobo10$174bo11bo$172b4o9b4o$171boo3bo7bo3boo$168bobo4bo9bo4bo
bo$167boo3bo7bo7bo3boo$168bo3boo5b3o5boo3bo$170boboo4bo3bo4boobo$149bo
18boobbo6b3o6bobboo$147b4o21bo5b5o5bo$143booboo3bo3bo12bo3bobooboo3boo
boobo3bo$143boobbo5b4o13boo3bo9bo3boo$142bobbo7bo3bo16bobboo3boobbo$
151bobbobo115bo$152bo118b3o$270boobo$270b3o$144bo126boo$142b4o$138boob
oo3bo3bo$138boobbo5b4o$137bobbo7bo3bo$146bobbobo$147bo7$182bo$180b3ob
3o$179boo6bo$174bo3bobbo3boo$162bo10b4o$160bobbo8bo3bo$159bo4bo8bobobb
o$159bo4bo12bo$160bo$160bo3bo11boo$160boobbo10bobbo92b3o$162b3o10boobo
91bobbo$174boboboo93bo$156boobbo5bo9bobobo92bo$155b3obo5bobo5boobobob
oo88bobo$157boboo4bobbo7bobo$158bo7boo4boobboboboo$157b3obboo7bo3boo$
155bobo4bobo9boo4bo$155bo7bo7bobobo4bo$175bobbo11$49boo$49b3o$48boboo$
48b3o$49bo$128boboo140bo$127boobooboo136b3o$126bobbobobbo136boboo$127b
o5boo4boo131b3o$136booboo131boo$136boo3bo$136boo$123b3ob3o$119boboo4bo
b4o$118b3o3boboo3boo3bo$117bo3bo3boboo5b4o$118bo9bo3bobo3bo$128bo3bobo
bobo$128bobo4b3o$136bo6$129bo$127b4o$123booboo3bo$123boobbo3bo$122bobb
o7bo$133bo$128boobo$128boo141b3o$128bobo7boo131bobbo$131boo4boo132bo$
129b3o6bobo18boo110bo$127boobbo3bo4boo17boo111bobo$128boo5bo5bo$128bob
o4bo5bo$141bo$129boo$$130bo292bobo$130bo291bo$129bobo290bo$129bo292bo
bbo$422b3o$120bo$118b4o$114booboo3bo3bo$114boobbo5b4o38boo$113bobbo7bo
3bo37booboo$122bobbobo37bobobb4o$123bo40bo4bo4bo$164bo7boo$164bo$166b
3o$169bo$165boobo103bo$164bo106b3o$167boo101boobo$165bo3bobb3o95b3o$
166bo5b3o96boo$168bobbo3bo$168bobbo$167boo$167b3o$167boo18$271b3o$270b
obbo$273bo$159boo112bo$159boo109bobo22$272bo$271b3o$271boboo$272b3o$
272boo3$172bo$173boo$172boo12$47bobo$50bo$50bo93boob3o20b3oboo$47bobbo
93boo4boo16boo4boo$48b3o92bobbobo3bo14bo3bobobbo$150b3obb3o4b3obb3o$
152b3obobobbobob3o103b3o$152bo4bo4bo4bo103bobbo$153boo10boo104bo$271bo
$61boo9boo198bobo$58booboo9booboo$58boo3bo7bo3boo$54b3obbo15bobb3o$54b
oobb3o5b3o5b3obboo$54b3o9b3o9b3o$55bo9bo3bo9bo$36boo18bobbo15bobbo$33b
ooboo17booboo4bo5bo4booboo$30b4obboo4boo15b7obob7o$29bo4bo4booboo14bob
obo9bobobo$30boo7boo3bo$39boo4$31boo$28booboo$25b4obboo4boo$24bo4bo4b
ooboo$25boo7boo3bo359boo9boo$34boo360booboo9booboo$272bo123boo3bo7bo3b
oo$271b3o118b3obbo15bobb3o$270boobo118boobb3o5b3o5b3obboo$270b3o119b3o
9b3o9b3o$271boo120bo9bo3bo9bo$394bobbo15bobbo18boo$393booboo4bo5bo4boo
boo17booboo$69boobo324b7obob7o15boo4boobb4o$66boobooboo322bobobo9bobob
o7b3o4booboo4bo4bo$66bobbobobbo346bo3bobbo3boo7boo$60boo4boo5bo347bo3b
o6boo$60booboo356bo3bo$59bo3boo357b3o$63boo$440boo$63boo375booboo$63b
oo369boo4boobb4o$62bobbo368booboo4bo4bo$61bobobo367bo3boo7boo$63bobo
371boo$60booboboboo$63boboboo$59bobobobo$59bo3bobbo$51boo6boobboob3o$
50boboo5bo$50bobo9boobbo$50boo9bo209b3o126boboo$48bo221bobbo125booboob
oo$47b3o223bo124bobbobobbo$48boo223bo125bo5boo4boo$44b5o221bobo135boob
oo$45b3o360boo3bo$46bo361boo$$408boo$408boo$407bobbo$407bobobo$407bobo
$404booboboboo$404boobobo$407bobobobo$14boob3o386bobbo3bo$14boo4boo
382b3oboobboo$13bobbobo3bo390bo$20b3obb3o378bobboo$22b3obobo184bo197bo
$22bo4bo183bobo$11bo3bo7boo187boo$9b3oboobobo$5booboo6bobbo$5boobbobbo
3bobboobboo$4bobbo4bobbobbooboboo247bo$15boo4bo3bo245b3o$14boobbobbobo
bo245boboo150bo$16bo255b3o137bobo10bo$22b3o247boo139bo12bo$$420bo3boo$
422b3o6bo$422boo7boo$430boboo$16boo412bobo20b3oboo$13booboo412boo19boo
4boo$10b4obbobo431bo3bobobbo$9bo4bo4bo425b3obb3o$10boo7bo424bobob3o$
19bo425bo4bo$15b3o430boo7bo3bo$14bo439boboboob3o$15boboo434bobbo6boob
oo$19bo428boobboobbo3bobbobboo$15boo431booboboobbobbo4bobbo$14bo3bo
428bo3bo4boo$17bo429bobobobbobboo$15bo440bo$17bo430b3o$28bo$16boo6bobb
oo$23bobbo5bo13boo223b3o$16b3o4bo5boobbo12boo223bobbo$16bo6bobboo5bo
237bo$17bo6bo5bobbo237bo183boo$28boobbo239bobo180booboo$7boo19bo425bob
obb4o$4booboo444bo4bo4bo$b4obboo4boo438bo7boo$o4bo4booboo438bo$boo7boo
3bo439b3o$10boo446bo$454boobo$453bo$456boo$454bo3bo$455bo$457bo$455bo
$$455boo$$454b3o$456bo$455bo$439boo$438bobbo22boo$57boo213bo164bo3boo
21booboo$56bobo212b3o162boo3bo16boo4boobb4o$58bo211boobo163boboobobbo
12booboo4bo4bo$270b3o152boo13bobobbo11bo3boo7boo$271boo152boo12bo4boo
15boo$435booboo8bo$435b3o8boobobboo$435bobo9bobobboo$64bo371bo8bobbo$
62b3ob3o367bo8boo$61boo6bo$56bo3bobbo3boo$55b4o$54bo3bo38bo$55bobobbo
36boo$59bo36bobo$$58boo$57bobbo$57boobo$56boboboo$58bobobo$55boobobob
oo344bo$58bobo346boo$54boobboboboo343bobo$53bo3boo$56boo4bo$46boo5bobo
bo4bo73b3o132b3o$46boo9bobbo77bo131bobbo134bo$137bo135bo130b3ob3o$273b
o129bo6boo$32boboo22boobo208bobo131boo3bobbo3bo$31boobooboo16boobooboo
351b4o$30bobbobobbo16bobbobobbo350bo3bo$31bo5boo4boo4boo4boo5bo188bobo
158bobbobo$40booboo4booboo198boo159bo$40boo3bobbo3boo198bo114b3o$40boo
10boo313bo45boo$368bo43bobbo$412boboo$176boo233boobobo$177boo231bobobo
$176bo232booboboboo$412bobo$409boobobobboo$414boo3bo$410bo4boo$410bo4b
obobo$412bobbo$328boo$327boo$329bo81boboo22boobo$410boobooboo16booboob
oo$216boo54bo136bobbobobbo16bobbobobbo$215bobo53b3o136bo5boo4boo4boo4b
oo5bo$217bo53boboo144booboo4booboo$272b3o144boo3bobbo3boo$272boo145boo
10boo5$288boo$288bobo$288bo$$256bo$256boo$255bobo!
#C Script commands for showinviewer.lua:
#C [[ ANGLE 90 ZOOM -1.5 THEME 3 AUTOSTART AUTOHIDEGUI TRACKBOX 1/4 -1/3 0 -1/3 ]]

[Sokwe]

I confirmed with WLS 0.63 that the following is the only (1,1)c/4 bilaterally-symmetric spaceships fitting in a single-phase 17x17 bounding box:

Code: Select all

x = 17, y = 17, rule = B3/S23
12b3o$12bo$13bo$15b2o$14b2o2$13bo$11bo4bo$10b3obobo$9b2ob2o$8b2o$7b2o$
2o6b2o$obo3bo2bo$o3bo3bo$3b2o$3bo3b2o!

Likewise, I confirmed with WLS 0.63 that the following is the only (1,1)c/4 gutter-symmetric spaceships fitting in a single-phase 18x18 bounding box:

Code: Select all

x = 18, y = 18, rule = B3/S23
9b2o$9bobo$9bo$10b3o$10bob3o$10bo2b2o$12bobob2o$11b2obobo$10b2o4bo$3o$
o2b3o2bo3b2o$bobo3b2o$3b2ob2o2bo$4b2o4bo$4b4o2$6b3o$6bo!

Here is a collection of spaceships of minimal single-phase width of the various types that have been proven, excluding width-1 spaceships:

Code: Select all

x = 163, y = 385, rule = B3/S23
7b3ob3o23b3ob3o19b3o2b4o2b3o20b3ob3o$6bo2bobo2bo21bo2bobo2bo17bo3bob4o
bo3bo18bo2bobo2bo$5bo3bobo3bo19bo3bobo3bo15bo6bo2bo6bo16bo3bobo3bo$5bo
9bo19bo9bo15bo3b2o6b2o3bo16bo9bo$7bo5bo23bo5bo19bo12bo20bo5bo$4bobo7bo
bo17bobo7bobo13bobo14bobo14bobo7bobo$3b2obob2ob2obob2o15b2obob2ob2obob
2o11b2obob2o8b2obob2o12b2obob2ob2obob2o$2bobobo2bobo2bobobo13bobobo2bo
bo2bobobo9bobobob2o8b2obobobo10bobobo2bobo2bobobo$b2obo4bobo4bob2o11b
2obo4bobo4bob2o7b2o3bo2bo8bo2bo3b2o8b2obo4bobo4bob2o$o3bob2obobob2obo
3bo9bo3bob2obobob2obo3bo5bo3bobo2b2o6b2o2bobo3bo6bo3bob2obobob2obo3bo$
4bo4bo2b3obo17bob3o3b3obo12bo20bo13bo4bobo4bo$2o3bo2bo2b2o2bo3b2o9b2o
3bo2b2ob2o2bo3b2o5b2o24b2o6b2o3bo2bo3bo2bo3b2o$15b2o17b2o9b2o$34bo11bo
$33bobo9bobo$32bo15bo$34bo11bo$31b2obo11bob2o$30bo3b2o9b2o3bo$31bo2bo
11bo2bo$36b2o5b2o$33b2obo7bob2o$36bob2ob2obo$36bob2ob2obo$35bo3bobo3bo
$37bo5bo$35bo9bo$36bob2ob2obo$33b2obob2ob2obob2o$34bobobobobobobo$31b
2obobo7bobob2o$31b2o3bo7bo3b2o$31b3obo9bob3o$30b2o17b2o17$9bo26b3o3b3o
$8b3o25bo2bobo2bo$8bob2o24bo7bo$9b3o24bo7bo$9b2o25bo7bo$37bobobobo9$7b
o26b3o7b3o15b3o10b3o18b3o3b3o22bo23bo8bo$6b3o25bo2bo5bo2bo15bo2bo8bo2b
o18bo2bobo2bo21b3o21b3o6b3o$6bob2o24bo11bo15bo14bo18bo7bo21bob2o20bob
2o5bob2o$7b3o24bo11bo15bo3bo6bo3bo18bo7bo22b3o21b3o6b3o$7b3ob3o21bobo
5bobo16bo3bo6bo3bo18bo7bo22b2o22b3o2bo3b3o$7b4o2bo25b3o21bo3bo4bo3bo
20bobobobo47b2o2bobo2b3o$9bo3bo25b3o26bo2bo79b3ob2o3b2o$9bo3bo55b2o82b
2ob2o$13bo21b3o5b3o20bobo2bobo$10bobo21bo2bo5bo2bo19bo6bo$37bo5bo23b2o
2b2o$37bo5bo21b2o6b2o$34bobo7bobo17b3obo2bob3o$63b2o2bo4bo2b2o$63bobo
8bobo$64b3o6b3o$64b3o6b3o$64b2o8b2o19$11b3o23bo5bo$10bo2bo22bobo3bobo$
10b2o23b2ob2ob2ob2o$13bo21bo2bo3bo2bo$8b6o19b2ob2o5b2ob2o$6b2o5bo20b2o
9b2o$6b3o4bo21b2o7b2o$6bo29bo7bo18bo12bo$7b3o23b2o11b2o14bobo10bobo$7b
ob4o21b3o7b3o14b2ob2o8b2ob2o18bo5bo$6b2ob2o26bobobobo17b2o14b2o17b3o3b
3o$6bobo54bo12bo18bo2bo3bo2bo$6b4o30bo22b4o6b4o17b3o7b3o$9b2o28bobo21b
o2b2o4b2o2bo18bobo5bobo$8bobo28bobo22b2o2bo2bo2b2o21b2o3b2o$38bo3bo22b
2ob4ob2o18bo4bo3bo4bo$8bo2bo26b2ob2o23bobo2bobo24bo3bo$10b2o25bo5bo23b
o4bo20b2o3bo3bo3b2o$9bo28bo3bo52bo2bo3bo2bo$8bob2o27bobo24bo6bo23bo5bo
$9bobo26b2ob2o21b2ob2o2b2ob2o$7b2o29b2ob2o22bo8bo$8bo56b2o6b2o$8bo27b
3o3b3o$9b2o27bo3bo$9b2o25b3o3b3o$9bobo25bobobobo$10b2o$9b2o23bo2bo5bo
2bo$11bo21b2o2b3ob3o2b2o$33bobo9bobo$34bo11bo$34bo11bo18$9b2o29bo28b2o
22b2o11b2o$5b2obo2bob2o24bobo23b2obo2bob2o18b2ob2o5b2ob2o$5b2o6b2o23bo
3bo22b2o6b2o17bo3b2o5b2o3bo$5bobo4bobo24b3o23bobo4bobo17bobo3b2ob2o3bo
bo$7b2o2b2o54b2o2b2o23bo2bobo2bo$6b2ob2ob2o23b2o3b2o22b2ob2ob2o23bobob
obo$8bo2bo23bo3bobo3bo22bo2bo22b2obobobobob2o$6bo6bo20b2o3bobo3b2o19bo
6bo20bo2bobobobo2bo$6bo6bo19bo5bobo5bo18bo6bo25bobo$34bob2obobob2obo
45b3obo7bob3o$6b8o52b8o24b2ob2o$5b2o6b2o50b2o6b2o3$10bo$11b2o$11b2o$
12bo$12b2o$11bo2bo$13bo$6b2ob2o$6b2o3b4o$5bo2bo3bobo17$8b2o$8bobo$8bo
8$8b2o33b3o54b2o$8bobo32bo56bobo$8bo35bo55bo$11bo34b2o53b3o$11b2o32b2o
54bob3o$11b2o88bo2b2o$10b2o32bo58bobob2o$6b2ob2o31bo4bo54b2obobo$6bo4b
o29b3obobo53b2o4bo$6bob4o28b2ob2o46b3o$10b2o27b2o50bo2b3o2bo3b2o$10b2o
26b2o52bobo3b2o$10b2o19b2o6b2o53b2ob2o2bo$12bo18bobo3bo2bo54b2o4bo$11b
2o18bo3bo3bo55b4o$11bo22b2o$12bo21bo3b2o57b3o$97bo23$6b3o29bo3bo22b3o
4b3o23bo3bo$7bo30bo3bo23bo6bo24bo3bo$37bobobobo53bobobobo$9bo$8b2obo
25bobobobo21b3o4b3o21bo7bo$8b2ob4o24bobo27b2o22bob2o2bobo2b2obo$9bo3b
2o21bobo3bobo19bo4b2o4bo17bobo2b2ob2o2bobo$8b3o3bo21bobo3bobo19bo2bo4b
o2bo16bob2obobobobob2obo$7bobo3bo22bo2b3o2bo21b2o4b2o$6bo3bo2bo49b2obo
bo2bobob2o21bo3bo$7bobobob2o20b2o7b2o18bo3bo2bo3bo$10b2obo21bo9bo19bo
8bo19b2ob2o3b2ob2o$10b2ob2o21bo7bo19bo2bo4bo2bo18b2o9b2o$11bob2o20b2ob
5ob2o19b2o6b2o22b2o3b2o$10b2o2bo21bo2bobo2bo20bob6obo23bo3bo$37bobobob
o20bob3o2b3obo21bo5bo$10b4o54b4o24bobo3bobo$9bo2b2o24b2ob2o20b2o10b2o
18b4o3b4o$9bobo2bo23bo3bo24bo4bo21bo2bo5bo2bo$9bo2bo24b2o3b2o22b3o2b3o
20bob2o5b2obo$9b3ob2o22b2o3b2o52bo7bo$8b2obo54b2o4b2o22b2o5b2o$7bo4bo
53bo6bo$8b3o54b3o4b3o23bo3bo$8b3o55bob4obo23bo5bo$9bob3o52bobo2bobo23b
o5bo$8bo58b2o2b2o$7b2ob3o$8bobo$7bo2bo$7bo2bo$10bo$7bo$8b3o$10bo$12bo$
10bo$12bo$9b3o$9b2o$9b2o$10bo$10bo18$10bobo24b2obob2o25b2o21bo15bo$8b
2o2b2o23b2obob2o25b2o20b2o15b2o$8b2o2bo23bo7bo22bob2obo18bo2bo11bo2bo$
8b2o2bobo20b3obobob3o19b3o4b3o20bo9bo$9b2o3bo19b5o3b5o15b2o12b2o16bo2b
2o3b2o2bo$8b5obo18b2o11b2o14b2o2bob4obo2b2o18bo2bobo2bo$7b4obo19b3obob
o3bobob3o17bobo2bobo24bo3bo$7bobo2b3o21bo2bobo2bo52b2o3b2o$9bobobo18b
2obo2b2ob2o2bob2o16b2o6b2o23bo3bo$9bo2b2o19b2o4bobo4b2o14b6o4b6o18bobo
3bobo$10bo25bo2bobo2bo17bobo10bobo19bo5bo$5b2o3bo2bo19bo3bobobobo3bo
14bob2o8b2obo$5b2o5bo20bo3bobobobo3bo14bob2o8b2obo20b2ob2o$5b2o3bob2o
20b2o3bobo3b2o14b2ob2o8b2ob2o17b2obobob2o$8bob4o21bo2bo3bo2bo15b2obo
10bob2o15b2obobobobob2o$8b2o24bo3bo3bo3bo15bobo10bobo19bobobobo$9bo23b
o13bo16bo2b2o2b2o2bo23bobo$9bo4bo17bo3b3o3b3o3bo14bo4bo2bo4bo18b2o2bob
o2b2o$8b2obob2o18bo3bobobobo3bo21b2o24bob3ob3obo$9bo25bo2b2ob2o2bo22bo
2bo23b4o3b4o$11bobo21b2o2b3o2b2o50bo7bo$7b2o3bo21bob2o5b2obo17b4o4b4o
18bo11bo$6bo2bo24b3o2b3o2b3o14b3o2b2ob2ob2o2b3o13bobo11bobo$7bo26b3o7b
3o16bo5b2o5bo15bobo11bobo$10bo25b3o3b3o16b2obob3o2b3obob2o14b4o7b4o$9b
2ob2o25bobo21b3o3b2o3b3o18bobo5bobo$6b2o4b2o20b3o2bobo2b3o16bo12bo20bo
5bo$6b2o4b3o18bo13bo17b2o2b2o2b2o18bo13bo$12bo20bobob2o3b2obobo17b10o
18bo13bo$7bo26b2o9b2o18bob2o2b2obo17bo2b2o7b2o2bo$6bobo26b2o2bobo2b2o
21bo4bo22b2o7b2o$8bo28bobobobo24bo2bo23b2o7b2o$6bo26bo3bo5bo3bo18bobo
2bobo20b2o9b2o$6b5o21bob2obo5bob2obo16b2ob4ob2o19bobo7bobo$9b2o21bo3bo
7bo3bo16b2ob4ob2o21bo7bo$8bo24b2obob2ob2obob2o18bo6bo23bo5bo$9b3o53b3o
4b3o21bo7bo$10b2o51bobo8bobo20b2o3b2o$62bo14bo$62b2ob2o6b2ob2o$65b2o6b
2o$64b2ob6ob2o$62b2obo8bob2o$66bo6bo3$66b8o$66b2o4b2o13$6b3o$5bo$4bo5b
o$4bo5bo$5b2obo$4b3o2bob2o$5bo5bo$12bo$5b2o$4b3o$4bo3b2o$4b3o$4b2o7b2o
$5bo5bo3bo$5b2obob2o2bo$5bo4bo$6bo4bo2bo$11bobo$10bob2o$10bobo$11b2o$
12bo$12bo$11bo$12b2o!

Here is a collection of all known spaceships up to a single-phase width of 8, excluding width-1 spaceships (this collection is complete up to period 5):

Code: Select all

x = 58, y = 103, rule = B3/S23
15bo35bo$14b3o33b3o$14bob2o32bob2o$15b3o33b3o$15b2o34b3ob3o$51b4o2bo$
53bo3bo$53bo3bo$57bo$54bobo2$15bo$14b3o$14bob2o$15b3o$15b3o$15b2o7$15b
o$14b3o$14bob2o$15b3o$15b3o$15b3o$15b2o11$50b3o$50bo2bo$52b2o$50bo$50b
6o$50bo5b2o$50bo4b3o$57bo$54b3o$51b4obo$53b2ob2o$55bobo$54b4o$53b2o$
53bobo2$52bo2bo$52b2o$54bo$52b2obo$52bobo$55b2o$55bo$55bo$53b2o$53b2o$
52bobo$52b2o$53b2o$52bo11$2o28b2o18b3o$obo27bobo17bo$o29bo22bo$33bo16b
o2bo$33b2o16bo2bo$33b2o17bo$32b2o20bobo$28b2ob2o23b2o$28bo4bo23bo$28bo
b4o22b2o$32b2o21b3o$32b2o16b2ob2ob2o$32b2o16bo3bob2o$34bo15bob3o2bo$
33b2o20b2o$33bo20b3o$34bo2$53b3o$53b3o2$52b2o$52bo!

[ElijahKen]

Unwarranted Speculation
Looking at it all again, I would guess that there's a significantly smaller way to do this, by searching out a slow-salvo recipe that builds the sideways MWSS directly from a single glider strike on a constellation, rather than requiring a synchronized strike of two gliders on a boat.

Here is one:

Code: Select all

x = 200, y = 190, rule = B3/S23
obo$b2o$bo28$41bobo$42b2o$42bo15$62bo$60bobo$61b2o9$67bo$65bobo$66b2o
12$90bo$88bobo$89b2o12$93bobo$94b2o$94bo8$105bo$106bo$104b3o11$121bo$
122bo$120b3o31$144bo$145b2o$144b2o2$152bo$153bo$151b3o4$164bo$165bo$
155bo7b3o$156b2o$155b2o14$182bo$183bo$181b3o9$197bo$198bo$196b3o5$198b
2o$198b2o!

[dvgrn]

Unwarranted Speculation
Looking at it all again, I would guess that there's a significantly smaller way to do this, by searching out a slow-salvo recipe that builds the sideways MWSS directly from a single glider strike on a constellation, rather than requiring a synchronized strike of two gliders on a boat.

Here is one...

Looks good! At that length of recipe, I don't really absolutely know if it will end up "significantly smaller" or not, when it's incorporated into a spaceship. But it does seem to pass the first rough test, in terms of adjacent recipes not getting in each other's way:

Code: Select all

x = 312, y = 330, rule = B3/S23
obo$b2o$bo28$41bobo$42b2o$42bo15$62bo$60bobo$61b2o9$67bo$65bobo$66b2o
12$90bo$88bobo$89b2o12$93bobo$94b2o$94bo8$105bo$106bo$104b3o11$121bo$
122bo$120b3o29$105bobo$106b2o$106bo37bo$145b2o$144b2o2$152bo$153bo$151b
3o4$164bo$165bo$155bo7b3o$156b2o$155b2o14$146bobo33bo$147b2o34bo$147b
o33b3o9$197bo$198bo$196b3o4$167bo$165bobo$166b2o9$172bo$170bobo$171b2o
12$195bo$193bobo$194b2o12$198bobo$199b2o$199bo8$210bo$211bo$209b3o11$
226bo$227bo$225b3o31$249bo$250b2o$249b2o2$257bo$258bo$256b3o4$269bo$270b
o$260bo7b3o$261b2o$260b2o4$310b2o$310b2o9$287bo$288bo$286b3o9$302bo$303b
o$301b3o5$303b2o$303b2o!

How was this found? Do you think it's likely that there are significantly shorter recipes that might be found with an exhaustive search?

[ElijahKen]

Here is one...

Looks good! At that length of recipe, I don't really absolutely know if it will end up "significantly smaller" or not, when it's incorporated into a spaceship. But it does seem to pass the first rough test, in terms of adjacent recipes not getting in each other's way:

Code: Select all

x = 312, y = 330, rule = B3/S23
obo$b2o$bo28$41bobo$42b2o$42bo15$62bo$60bobo$61b2o9$67bo$65bobo$66b2o
12$90bo$88bobo$89b2o12$93bobo$94b2o$94bo8$105bo$106bo$104b3o11$121bo$
122bo$120b3o29$105bobo$106b2o$106bo37bo$145b2o$144b2o2$152bo$153bo$151b
3o4$164bo$165bo$155bo7b3o$156b2o$155b2o14$146bobo33bo$147b2o34bo$147b
o33b3o9$197bo$198bo$196b3o4$167bo$165bobo$166b2o9$172bo$170bobo$171b2o
12$195bo$193bobo$194b2o12$198bobo$199b2o$199bo8$210bo$211bo$209b3o11$
226bo$227bo$225b3o31$249bo$250b2o$249b2o2$257bo$258bo$256b3o4$269bo$270b
o$260bo7b3o$261b2o$260b2o4$310b2o$310b2o9$287bo$288bo$286b3o9$302bo$303b
o$301b3o5$303b2o$303b2o!

How was this found? Do you think it's likely that there are significantly shorter recipes that might be found with an exhaustive search?

I used octo3obj to search for MWSS seeds, then chose the most promising-looking one and put it into slsparse. Then hand-transcribed the long single-channel salvo into what I posted.

There is definitely a chance of finding shorter recipes, but I don't think I can find them. It would likely involve a more complex constellation that happens to be easier to construct.

Thanks!

[wwei47]

It looks like the example from Golly has a key piece or two that won't work at any period lower than 159 ... notably the conversion of the forward LWSS to a forward glider. So one early line of research will be coming up with some way to spark an xWSS stream (or xWSS salvo stream) that produces gliders successfully every 69 ticks -- right?

The early parts of the p159 rake do work just fine at period 69, so it looks like we can split a glider into two gliders, and we can make block trails with the right spacing. Seems like it's just the mechanism that produces backward LWSSes that only works at 2x69:

It seems like the bottleneck here is that the sparked LWSS takes a while to collapse into a glider; meanwhile it's just wasting time wobbling around.

EDIT: While I doubt that this will end up being part of a solution, I think that it's worth pointing out that there exists this non-obvious reaction where ERS1 eats an LWSS.

Code: Select all

x = 21, y = 12, rule = B3/S23
13bo$12b4o$7bo3bo3b2ob2o$6b4o5bo2b2o$5bo3bo7bo2bo$6bobo2bo$10bo$bo$3o
$ob2o$b3o$b2o!

[Hdjensofjfnen]

This 3c/8o partial seems to bifurcate pretty early on, but ikpx2 seems to want to extend the partial as a whole rather than extending the branches individually. Could someone take a crack at extending the first 10-12 rows of this with LSSS or LLSSS?

Code: Select all

x = 31, y = 28, rule = B3/S23
15bo$14bobo$13b2ob2o$13b2ob2o$13bo3bo$13bo3bo$10bobo5bobo$8bobo9bobo$
12b2o3b2o$6bo3bo9bo3bo$5b3o2bo9bo2b3o$4bo5bo9bo5bo$6b3o2bo7bo2b3o$7bob
2o2b2ob2o2b2obo$10b3obobob3o$9b4obobob4o$6bobo3bobobobo3bobo$6bo3b2obo
3bob2o3bo$3bo2b2ob2o9b2ob2o2bo$2b3o2bobo11bobo2b3o$3b6o3bo5bo3b6o$2bob
obo2b5o3b5o2bobobo$obobo8bo3bo8bobobo$o3b5obo2bo3bo2bob5o3bo$6b3obo2b
2ob2o2bob3o$o2bo4bobo2b2ob2o2bobo4bo2bo$obo2bo3b4o5b4o3bo2bobo$b4ob3o
4b2ob2o4b3ob4o!

This is a width-15 partial from ikpx2.

Here were ikpx2's maximum-length partials from attempting to extend this frontend at widths of 11, 12, 13, and 14. Note the maximum-length partials for widths 12 and 13 are the same:

Code: Select all

x = 124, y = 26, rule = B3/S23
11bo30bo30bo35bo$10bobo28bobo28bobo33bobo$9b2ob2o26b2ob2o26b2ob2o31b2o
b2o$9b2ob2o26b2ob2o26b2ob2o31b2ob2o$9bo3bo26bo3bo26bo3bo31bo3bo$9bo3bo
26bo3bo26bo3bo31bo3bo$6bobo5bobo20bobo5bobo20bobo5bobo25bobo5bobo$4bob
o9bobo16bobo9bobo16bobo9bobo21bobo9bobo$8b2o3b2o24b2o3b2o24b2o3b2o29b
2o3b2o$2bo3bo9bo3bo12bo3bo9bo3bo12bo3bo9bo3bo17bo3bo9bo3bo$b3o2bo9bo2b
3o10b3o2bo9bo2b3o10b3o2bo9bo2b3o15b3o2bo9bo2b3o$o5bo9bo5bo8bo5bo9bo5bo
8bo5bo9bo5bo13bo5bo9bo5bo$2b3o2bo7bo2b3o12b3o2bo7bo2b3o12b3o2bo7bo2b3o
17b3o2bo7bo2b3o$3bob2o2b2ob2o2b2obo14bo2b2o7b2o2bo14bo2b2o7b2o2bo19bob
2o2b2ob2o2b2obo$6b3obobob3o15bo3b3o2b3o2b3o3bo10bo3b3o2b3o2b3o3bo15bo
3b3o2bobo2b3o3bo$5b4obobob4o14bobo2bo9bo2bobo10bobo2bo9bo2bobo14bobo2b
2o9b2o2bobo$2bo2bo2bobobobo2bo2bo14b3ob2o3b2ob3o16b3ob2o3b2ob3o18b2o2b
o11bo2b2o$3b2ob4o3b4ob2o15bobo9bobo16bobo9bobo18b2o6bo3bo6b2o$5bo11bo
13bo3bo2b2o5b2o2bo3bo8bo3bo2b2o5b2o2bo3bo12bobob2ob2o7b2ob2obobo$3bo2b
2o3bo3b2o2bo11b2o4b2o7b2o4b2o8b2o4b2o7b2o4b2o12b2o4b2o9b2o4b2o$3b4o3bo
bo3b4o14b2obo4bo4bob2o14b2obo4bo4bob2o13bo2b2o4b2o7b2o4b2o2bo$2b2o2bo
2bo3bo2bo2b2o12bo3b2o3bo3b2o3bo12bo3b2o3bo3b2o3bo12b3o7bobo3bobo7b3o$b
2o3bo4bo4bo3b2o11b3o2b9o2b3o12b3o2b9o2b3o13b2o8bobobobo8b2o$32bo8bobo
8bo10bo8bobo8bo12bob4obo11bob4obo$32bobob3o7b3obobo10bobob3o7b3obobo
12bo6bo2bo5bo2bo6bo$101b2ob3obobob3ob2o!

[Hippo.69]

I used octo3obj to search for MWSS seeds, then chose the most promising-looking one and put it into slsparse. Then hand-transcribed the long single-channel salvo into what I posted.

There is definitely a chance of finding shorter recipes, but I don't think I can find them. It would likely involve a more complex constellation that happens to be easier to construct.

Thanks!

I could try pslmake with wide beam on the same constalation to see if it finds an iprovement...

I am on tablet without current version of defrag, so I will give compressed salvo later... here are 9 gliders:

Code: Select all

x = 1061, y = 1051, rule = B3/S23
2o$2o27$32b3o$32bo$33bo130$156b3o$156bo$157bo122$286b3o$286bo$287bo
128$413b3o$413bo$414bo119$549bo$548b2o$548bobo131$670b3o$670bo$671bo
124$799b3o$799bo$800bo130$923b3o$923bo$924bo120$1059bo$1058b2o$1058bob
o!

If you give me other promissing constalations, I could pslmake them as well ..., for the other direction we use block and barge seed. I was not looking for other promissing configurations. ... It would be nice to make such a table for other WSS.

[ElijahKen]

If you give me other promissing constalations, I could pslmake them as well ..., for the other direction we use block and barge seed. I was not looking for other promissing configurations. ... It would be nice to make such a table for other WSS.

Here are all 4 matches for MWSS in the octo3obj tabulations that I have:

Code: Select all

x = 144, y = 44, rule = B3/S23
10$111bobo$111b2o$112bo2$55b2o25b2o3bo22b2o$47bobo5b2o21b2o2b2ob2o23b
2o$19b2o26b2o29b2o6b2o$19b2o27bo6b2o53b2o$55b2o25b2o26b2o$23bobo20b2o
34b2o$23b2o21b2o$24bo$19b2o29b2o24bo4b2o24b3o6bo$19b2o4b2o22bo2bo23bo
4b2o33bo$25b2o23b2o24bo39bo!

The block one looks the simplest by far.
I think the *WSS spine can only produce gliders of one color and parity. Does pslmake have options for that?

[Hippo.69]

Here are all 4 matches for MWSS in the octo3obj tabulations that I have:

Code: Select all

x = 144, y = 44, rule = B3/S23
10$111bobo$111b2o$112bo2$55b2o25b2o3bo22b2o$47bobo5b2o21b2o2b2ob2o23b
2o$19b2o26b2o29b2o6b2o$19b2o27bo6b2o53b2o$55b2o25b2o26b2o$23bobo20b2o
34b2o$23b2o21b2o$24bo$19b2o29b2o24bo4b2o24b3o6bo$19b2o4b2o22bo2bo23bo
4b2o33bo$25b2o23b2o24bo39bo!

The block one looks the simplest by far.

I agree the 3 blocks are best, I will add the block and barge…
Do you have matches for LWSS and HWSS as well?

3blocks unrestricted lead to 14 or even 9 gliders.
4blocks + blinker unrestricted lead to 18 gliders.
3blocks + beehive unrestricted lead to 16 gliders.
2blocks + 2blinkers unrestricted lead to 16 gliders.
barge + block unrestricted lead to 10 gliders.

I think the *WSS spine can only produce gliders of one color and parity. Does pslmake have options for that?

apg/calcyman added the signature feature po pslmake… to allow arm p8 arm recipes… convert the input to lifehistory and add optionally block as required starting target in state 4, and add nw directed gliders in state 4 for all allowed phases mod 8 and colors.
Furthermore if you want gliders of only one color, specify special recipestore... oh let me check ... I have added that of all signature gliders are of the asame color the instead of std(xl) recipestore the mono(xl) recipestore is used so you do not need to care, but you have to have both recipestores installed. The p2 Salvas are translated to corresponding p8 Salvas and filtered out if not allowed.

Considering bespoke 0deg Ott’s are prefixed to one glider bespoke to allow following the signatures (I made some optimizations there).

So the answer is yes. … add one glider in state 4 to lifehistory input for pslmake.

So for following input: (state 5 glider is both state1 ... so present glider and signature glider)

Code: Select all

x = 37, y = 36, rule = LifeHistory
6.2A$2A4.2A$2A5$2A$2A25$35.E$34.2E$34.E.E!

pslmake generates ...

Code: Select all

x = 1945, y = 1942, rule = B3/S23
2o$2o18$25bo$24b2o$24bobo120$157bo$156b2o$156bobo144$269bo$268b2o$268b
obo122$401bo$400b2o$400bobo134$519bo$518b2o$518bobo116$657bo$656b2o$
656bobo128$785bo$784b2o$784bobo114$925bo$924b2o$924bobo140$1039bo$
1038b2o$1038bobo124$1169bo$1168b2o$1168bobo130$1293bo$1292b2o$1292bobo
118$1427bo$1426b2o$1426bobo136$1547bo$1546b2o$1546bobo124$1675bo$1674b
2o$1674bobo120$1809bo$1808b2o$1808bobo120$1943bo$1942b2o$1942bobo!

adding stopper and defragmenting leads to (16)

Code: Select all

x = 189, y = 156, rule = B3/S23
32b2o$32b2o5bo$38b2o$38bobo4$55bo$54b2o$54bobo$2o$2o14$71bo$70b2o$70bo
bo18$59bo$58b2o$58bobo6$75bo$74b2o$74bobo6$85bo$84b2o$84bobo2$69bo$68b
2o$68bobo18bo$88b2o$88bobo8$95bo$94b2o$94bobo8$109bo$108b2o$108bobo6$
123bo$122b2o$122bobo8$119bo$118b2o$118bobo10$127bo$126b2o$126bobo32$
163bo23bo$162b2o22b2o$162bobo12bo8bobo$176b2o$176bobo!

Wow when running the pslmake on original pattern I am recieving 14 glider solutions ... why I got 9 at first try?
... and the 9 gliders salvo defragmented / compressed

Code: Select all

x = 163, y = 82, rule = B3/S23
2o$2o70b2o$72b2o$78b3o$78bo$79bo14$86b3o$86bo$87bo6b3o$94bo$95bo4$97b
3o$97bo$98bo36$138b3o$138bo$139bo2$145b3o$145bo$146bo$157bo$156b2o$
156bobo3$145b3o$145bo$146bo14bo$160b2o$160bobo!

For the other direction I am using (no signature restricted) (10)

Code: Select all

x = 184, y = 178, rule = B3/S23
30b2o$30b2o14$b2o$b2o3$3o$o$bo12$9bo7bo$8b2o6b2o$8bobo5bobo24$67bo$66b
2o$66bobo4$72bo$71b2o$71bobo32$102bo$101b2o$101bobo4$103bo$102b2o$102b
obo4b2o$109bobo$109bo38$155b2o$155bobo$155bo26$182b2o$181b2o$183bo!

And monophase monocolor restricted rersion (15):

Code: Select all

x = 137, y = 135, rule = B3/S23
2o$2o4$54b2o$2b2o50b2o$2bobo$2bo14$8b2o$8bobo$8bo2$46b2o$46bobo$46bo8$
66b2o$66bobo$26b2o30b2o6bo$26bobo29bobo$26bo31bo26$74b2o$74bobo$74bo2$
80b2o$80bobo$80bo4$84b2o$84bobo$84bo2$96b2o$96bobo$96bo2$100b2o$100bob
o$100bo16$90b2o$90bobo$90bo14$96b2o$96bobo$96bo6$134b2o$134bobo$134bo
4$120b2o$120bobo$120bo!

[Sokwe]

Here are two 3c/6 ship that I think are new:

Code: Select all

x = 51, y = 50, rule = B3/S23
7b3ob3o23b3ob3o$6bo2bobo2bo21bo2bobo2bo$5bo3bobo3bo19bo3bobo3bo$5bo9bo
19bo9bo$7bo5bo23bo5bo$4bobo7bobo17bobo7bobo$3b2obob2ob2obob2o15b2obob
2ob2obob2o$2bobobo2bobo2bobobo13bobobo2bobo2bobobo$b2obo4bobo4bob2o11b
2obo4bobo4bob2o$o3bob2obobob2obo3bo9bo3bob2obobob2obo3bo$4bob3o3b3obo
17bob3o3b3obo$2o3bo2b2ob2o2bo3b2o9b2o3bo2b2ob2o2bo3b2o$4b2o9b2o17b2o9b
2o$4bo11bo17bo11bo$3bobo9bobo15bobo9bobo$2bo15bo13bo15bo$4bo11bo17bo
11bo$b2obo11bob2o11b2obo11bob2o$o3b2o9b2o3bo9bo3b2o9b2o3bo$bo2bo11bo2b
o11bo2bo11bo2bo$6b2o5b2o21b2o5b2o$3b2obo7bob2o15b2obo7bob2o$6bob2ob2ob
o21bob2ob2obo$6bo2bobo2bo19bobob2ob2obobo$9bobo27bobo$6b2obobob2o20bob
o5bobo$9bobo23bo9bo$3b3o9b3o19b2o3b2o$3bo13bo21bobo$34b3o7b3o$2b2o13b
2o15bo3b2ob2o3bo$bo17bo$2bo15bo14b2o11b2o$4b3o2b3o2b3o15bo15bo$7bob3ob
o19bo13bo$2b2o5bobo5b2o16b2o7b2o$2b2o2b2o5b2o2b2o17b2o5b2o$2b7o3b7o16b
ob2o3b2obo$b2o15b2o16b2o5b2o$5bobo5bobo19b2obo3bob2o$7bo5bo22bobobobob
o$3b2o2b2obob2o2b2o22bo$3b2o2bobobobo2b2o17bo2bobobo2bo$3bobobobobobob
obo16b3obo3bob3o$3bobobo5bobobo15bo3bo5bo3bo$3bo3bo5bo3bo15bobobo5bobo
bo$3bo13bo14bo2b2obo3bob2o2bo$5b2obo3bob2o19bo3b3o3bo$7bo5bo19b2o5bo5b
2o$33bo13bo!

These ships were found with a logical-width 11 qfind search, which I stopped after finding the second ship (depth 315). The ship on the left has two p6 components that don't interact, so it's presumably possible to create a monomer using modified p2 supports, but I don't intend to try this.

Edit: I removed one of the ships, because the p6 component was already known (found by Hartmut Holzwart in 2021).

[Sokwe]

I ran the following complete censuses with WLS 0.63. I doubt any of these spaceships are new,

• There are 6 (1,1)c/4 spaceships up to diagonal height 13; 1 height-5 ship (glider) and 5 height-13 ships:

  Code: Select all

  x = 171, y = 75, rule = B3/S23
  3o$o$bo28$8b2o27b2o28b2o44b3o50b2o$7b2o28bobo27bobo43bo52bobo$9bo27bo
  29bo46bo51bo$11b2o27bo29bo38b3o4b2o51bo$10bo28bobo27bobo37bo5b2obo50b
  2o$39bobo27bobo38bo3b2o2bo50b2o$9bo2bo26bo29bo43bo3bo50b2o$b2o5b2o29bo
  29bo42b2o45b3o5b2o$2o5bo27bo3bo25bo3bo43b2o44bo5b2o2bo$2bo4bobo24b3obo
  25b3obo41b4o46bo4b3o$4b2o2bo24b2o28b2o44b2o2bo48bo$4b2o26b2o28b3o43b3o
  50b3o$33bo27b2o39b2o6bo52bo$24b3o35bo39bo2b2o53bo$24bo8bo19b3o46bo3bob
  o51b4o$25bo2b5o20bo8bo36b2o3bo2bo49b5o$27bo26bo2b5o36b2o4bo52bo$28b2o
  26bo42bobo56b2o$57b2o37b3o56b4o$96bo2bo54b2o2bo$96bobo54b3o$97bobo47b
  2o6bo$97bo49bo2b2o$96b2obo47bo3bobo$96b2o46b2o3bo2bo$94bo48b2o4bo$86b
  3o4bobo48bobo$86bo5b2o47b3o$87bo4bobo46bo2bo$89b3o2bo46bobo$83b3o4bo
  51bobo$83bo4b3o51bo$84bo4bo51b2obo$86bobo52b2o$87bo51bo$88bo42b3o4bobo
  $131bo5b2o$132bo4bobo$134b3o2bo$128b3o4bo$128bo4b3o$129bo4bo$131bobo$
  132bo$133bo!

  Below are the same ships with the height-5 and height-13 diamonds highlighted. Advancing this pattern 3 ticks shows that each of these ships remains in the given diamond through the whole period.

  Code: Select all

  x = 178, y = 80, rule = LifeHistory
  5.B$4.3B$3.5B$2.B3AB$.2BA2B$4BA$.3B$2.B22$118.B$12.B29.B29.B44.3B51.B
  $11.3B27.3B27.3B42.5B49.3B$10.5B25.5B25.5B40.7B47.5B$9.2B2A3B23.B2A4B
  23.B2A4B38.2B3A4B45.B2A4B$8.2B2A5B21.2BABA4B21.2BABA4B36.3BA7B43.2BAB
  A4B$7.5BA5B19.3BA7B19.3BA7B34.5BA7B41.3BA7B$6.8B2A3B17.7BA5B17.7BA5B
  32.B3A4B2A3B41.7BA5B$5.8BA4B17.7BABA3B17.7BABA3B32.2BA5B2ABAB41.8B2A
  3B$4.13B17.8BABA2B17.8BABA2B32.4BA3B2A2BA41.9B2A2B$3.9BA2BA17.9BA3B
  17.9BA3B32.8BA3BA41.9B2A2B$2.2B2A5B2A2B17.10BA2B17.10BA2B32.8B2A3B41.
  B3A5B2A2B$.2B2A5BA3B17.7BA3BAB17.7BA3BAB32.10B2AB41.2BA5B2A2BA$5BA4BA
  BA17.7B3ABAB17.7B3ABAB32.8B4AB41.4BA4B3AB$.6B2A2BA17.7B2A4B17.7B2A4B
  32.8B2A2BA41.7BA5B$2.5B2A2B17.7B2A4B17.7B3A3B32.8B3A2B41.7B3A3B$3.7B
  17.9BA3B17.7B2A4B32.3B2A6BAB41.10BA2B$4.5B17.B3A9B17.9BA3B32.4BA2B2A
  4B41.8BA4B$5.3B17.2BA8BAB17.B3A9B32.5BA3BABAB41.9B4A$6.B17.4BA2B5AB
  17.2BA8BAB32.3B2A3BA2BAB41.7B5AB$25.5BA5B17.4BA2B5AB32.3B2A4BA3B41.8B
  A4B$26.5B2A2B19.5BA5B32.5BABA5B41.10B2AB$27.7B21.5B2A2B32.3B3A7B41.8B
  4AB$28.5B23.7B32.4BA2BA5B41.8B2A2BA$29.3B25.5B32.5BABA5B41.8B3A2B$30.
  B27.3B32.7BABA3B41.3B2A6BAB$59.B32.8BA4B41.4BA2B2A4B$91.8B2ABAB41.5BA
  3BABAB$90.9B2A2B41.3B2A3BA2BAB$89.8BA4B41.3B2A4BA3B$88.B3A4BABA2B41.
  5BABA5B$87.2BA5B2A3B41.3B3A7B$86.4BA4BABAB41.4BA2BA5B$85.7B3A2BA41.5B
  ABA5B$84.2B3A4BA3B41.7BABA3B$83.3BA4B3A2B41.8BA4B$84.3BA4BA2B41.8B2AB
  AB$85.4BABA2B41.9B2A2B$86.4BA2B41.8BA4B$87.4BA41.B3A4BABA2B$88.3B41.
  2BA5B2A3B$89.B41.4BA4BABAB$130.7B3A2BA$129.2B3A4BA3B$128.3BA4B3A2B$
  129.3BA4BA2B$130.4BABA2B$131.4BA2B$132.4BA$133.3B$134.B!

• Big glider (diagonal width 15) is the only bilaterally symmetric (1,1)c/4 spaceship up to diagonal width 19.
• There are 8 (1,1)c/4 gutter-symmetric spaceships up to diagonal width 23 (1 width-15, 1 width-21, 6 width-23):

  Code: Select all

  x = 121, y = 241, rule = B3/S23
  4b2obo39b2o39b3o$4bo3bo38bobo38bo$4bo4bo37bo43bo$6b2o42bo37bo4bo$3o5bo
  bo38bobo37b3o$o10bo37bo3b2o38bobo$3bo5bo39bo3b3o35bobob3o$o2bo6bob2o
  26b3o6bo40bobo3b2o$bo2bo6b4o25bo12bobo24b2obo6bo2bo$2bo3bo8bo25bo2b4o
  2b2ob2o25bo3bo5bobo$4bo2bo7b2o26bo5bo5bo3bo20bo3bo2b3o$5bo2bo4b2o3bo
  25bo4bo5b3obo22bobobo$7b2o4b2obobo41bo26bobo$7b2o2b2o2b2obo26b2ob2o5b
  2o26bob2obo$8bo2b2o32b2o2bo7bo$9b2o2bo32bobob2obo31b2o$10bob2o37bobo
  32b2o$51bo2bo31b2o$11b3o$50b2o$52bo10$84b2obo$84bo3bo$84bo4bo$86b2o$
  80b3o5bobo$80bo10bo$83bo5bo$80bo2bo6bob2o$81bo2bo6b4o$82bo3bo8bo$84bo
  2bo7b2o$85bo2bo4b2o3bo$87b2o4b2obobo$87b2o2b2o2b2obo2bo$88bo2b2o8bobo$
  89b2o2bo7bo$90bob2o9b3o$105bob2o$91b3o12bo$104b2o$105bo$93b3o9bo2$94bo
  bo$96bo2bo$96b2ob3o$98bo$97bo$97bo12$84b2obo$84bo3bo$84bo4bo$86b2o$80b
  3o5bobo$80bo10bo$83bo5bo$80bo2bo6bob2o$81bo2bo6b4o$82bo3bo8bo$84bo2bo
  7b2o$85bo2bo4b2o3bo$87b2o4b2obobo$87b2o2b2o2b2obo2bo$88bo2b2o8bobo$89b
  2o2bo7bo$90bob2o9b3o$105bob2o$91b3o12bo$106bo$105bo$93b3o8b2obo$104b2o
  2bo$94bobo7b2obo2b2obo$96bo4b3o7bo2bo$96b2o2b4o2bo2b2o2b2o$98b2o5bo4b
  4o$97bo3bobo6bo2bo$97bo4bo7bobo$105bo$103bob4o$103b2obo$106bobo$103bob
  3o$104b2o16$87b3o$87bo2b3o$88bobo$93bo$91bo$93bobo$96bo$80b2o11bo2bo$
  80bobo10bo2bo$80bo12bo2bo$81b2o14b2o$81bo2bo9bo2b2o$81bo16bobo$83bobob
  3o5b2o4b2o$91bo3bo4b2o$85bo7b2o4b3ob2o$86b4o3bo10bo$90b2o10bo$90b3o12b
  o$95bo4b2o2bo$92bob2o3bo2b4o$93b3o3bo$93bo3bo2bo$95bo4bo$95b2o2b2o$98b
  obo15$87b3o$87bo2b3o$88bobo$93bo$91bo$93bobo$96bo$80b2o11bo2bo$80bobo
  10bo2bo$80bo12bo2bo$81b2o14b2o$81bo2bo9bo2b2o$81bo16bobo$83bobob3o5b2o
  4b2o$91bo3bo4b2o$85bo7b2o4b3ob2o$86b4o3bo10bo$90b2o10bo$90b3o14bo$95bo
  4b2o2bobobo$92bob2o3bo2b3o$93b3o3bo5bo2bo$93bo3bo2bo5bo$95bo4bo$95b2o
  2b2o$101bo$99bo2bo$98bo$99bobo12$87b3o$87bo2b3o$88bobo$93bo$91bo$93bob
  o$96bo$80b2o11bo2bo$80bobo10bo2bo$80bo12bo2bo$81b2o14b2o$81bo2bo9bo2b
  2o$81bo16bobo$83bobob3o5b2o4b2o$91bo3bo4b2o$85bo7b2o4b3ob2o$86b4o3bo
  10bo$90b2o10bo$90b3o12bo$95bo4b2o2bo$92bob2o3bo2b4o$93b3o3bo8b3o$93bo
  3bo2bo6bo$95bo4bo9bo$95b2o2b2o8bo$98bobo7b2o$108b3o3b3o$102bo5bo2bo2bo
  $101bo3b3o2b2o4bo$101bo2b3o6b3o3bo$101bobo2bobo2b5o2bobo$107b2obobo4bo
  2bo$110b2o7bo$109b2o$106b2ob2o$106bo2b2o$106bobo$111bo$110bo$109bo2bo$
  110b2o!

[ElijahKen]

Do you have matches for LWSS and HWSS as well?

Yes. Also, I downloaded two more hash files; I'll recheck the MWSS.
This is the one match I get for a clean HWSS:

Code: Select all

7b2o$6bo2bo$7b2o2b3o$2o9bo$2o10bo$4b2ob2o$4b2ob2o!

A clean LWSS has 27 matches:

Code: Select all

x = 805, y = 15, rule = B3/S23
97bobo$97b2o369bo$98bo143bo194bo30bobo$119bobo31b2ob2o84bobo191bo31b2o
88bobo209bo$37bo22bo8bo20b2o4b2o21b2o7b2o23b2ob2o21b2o29b2o30b2o31b2o
31b2o25b2o30b2o27b2o3b2o3bo19b2o8b3o26b2o31b2o27b2o29b2o23b2o25bo91bo
67bo$37bobo19bobo5b2o21b2o4b2o22bo7b2o49b2o3b2o24b2o2b2o24bo5bo27bo2b
o29bo2bo24b2o2b2o3bobo20b2o27b2o3b2ob2o20b2o5b2o24bo4bo2bo30b2o23b2o2b
2o25b3o2bo23b2o24bobo89bobo27b3o5bobo28bo23b3o5bobo$30b2o5b2o20bobo2b
2o2b2o113bo2bo2bo24b2o23bobo3bobo27b2o31b2o29b2o3b2o29bo29b2o26b2o23b
obo4b2o23b2o31b2o64bo19bobo3b2o24b3obobo30bo22bobo35b2o61b2o$bo8bo19b
2o28bo3b2o30b2o23b2o56b2o3b2o2bo50bobo3bobo97bo24b2ob2o21b2o3b2o23b2o
30bobo29b2o2b2o91b2o21bo4b2o2bo25b2o31bo23bo37bo62bo$obo5b2o26bo59b2o
23b2o26b2o28b2o7b3o27bo21bo5bo33bo85b2o2b2o2b2o20b2o3b2o23b2o5b2o24bo
34b2o3b2o27bo55b2o2b2o29bobo24bo23b2o6bo$obo2b2o2b2o24bobo52b2o57b2o3b
2o61bo61bo30b2o3bo19b2ob2o4b2o20b2o65b2o32b2o30b2o26bobo2bobo49b2o33b
2o49b2o2b2o28bo25b2o6b2o22bo5b2o23b2o6b2o$bo3b2o24b2o2bobo24b2o26b2o29b
2o4b2o25b2o57b2o2b3o59b3o28b2ob2o20b2ob2o4b2o121b2o58bobo2b2o20b2o60b
2o23b2o2b2o27b2o28bobo23b2o6b2o21bobo4b2o23b2o6b2o$31b2o3bo25b2o57b2o
4b2o83bo2bo31bo29bo36b2o187bo24bo4bo20b2o5bo20bo33b2o23b2o2b2o2b2o29b
o20bo2b2o55bobo$150b2o2b2o3bo26b2o25b2o31bobo19b2o6bobo22b2o7b2o59b2o
31b2o28b2o58b2o5b2o58bo19bobo3b3o23bo35b2o27b2o20bobo27b2o30bo5b2o3bo
$3b2o26b2o29b2o25b2o36b2o21b2o2b2ob2o23b2o2b2o29b2o27bobo19b2o2b2o2bo
bo22b2o2b2o3b2o31b2o26b2o2b2o26bo2bo26bo2bo29b2o26b2o2b2o2b2o28b2o20b
2o5bo19bobo29bo27b2o36b2o19bobo5b3o19b2o7b2o27b2ob2o29b2o$3b2o26b2o29b
2o25b2o36b2o29b2o22b2o33b2o28bo24b2o3bo27b2o36b2o30b2o27b2o28b2o30b2o
30b2o32b2o20b2o26bo30bo27b2o32b3o23bo37b2o31b2o28b2o!

These seem the nicest out of the foreward-shooting ones:

Code: Select all

x = 216, y = 46, rule = B3/S23
16$26bo$26bobo$26b2o32b2o134bo$24bo5bo28bo2bo132bobo$23bobo3bobo28b2o
34b2o35b2o37bo22bobo$23bobo3bobo60b2o2b2o35b2o37bo23bo$24bo5bo34bo26b
2o45bo24b2o6bo$64bo72b2o25b2o2b2o28bo$64b3o30bo36b2o2b2o28b2o28bobo$31b
o30bo33bobo2bobo30b2o38bo20bo2b2o$30bobo20b2o6bobo32bobo2b2o69b2o20bo
bo$30bobo20b2o2b2o2bobo33bo4bo29bo40b2o19bobo5b3o$31bo25b2o3bo68bobo3b
3o29b3o23bo$101b2o28bobo$101b2o29bo!

An MWSS now has 6 matches total:

Code: Select all

x = 160, y = 15, rule = B3/S23
154bobo$154b2o$155bo2$36b2o25b2o3bo84b2o$28bobo5b2o21b2o2b2ob2o28b2o3b
o19b2o3bo26b2o$2o26b2o29b2o6b2o23b2o2b2ob2o20b2ob2o$2o27bo6b2o50b2o2b
2o6b2o23b2o26b2o$36b2o25b2o23b2o31b2o30b2o$4bobo20b2o34b2o30b2o24b2o5b
2o$4b2o21b2o66b2o31b2o$5bo119bo$2o29b2o24bo4b2o25bo35bo24b3o6bo$2o4b2o
22bo2bo23bo4b2o25bo35bo3b2o28bo$6b2o23b2o24bo31bo39b2o28bo!

The two new ones don't seem particularly useful though:

Code: Select all

x = 43, y = 10, rule = B3/S23
8b2o3bo19b2o3bo$4b2o2b2ob2o20b2ob2o$2o2b2o6b2o23b2o$2o31b2o$7b2o24b2o
5b2o$7b2o31b2o$37bo$bo35bo$bo35bo3b2o$bo39b2o!

[Sokwe]

Here is a new 5c/10 spaceship found with a logical-width-10 gutter-symmetric qfind search that consists of a large p2 portion supporting a much smaller p10 portion:

Code: Select all

x = 21, y = 66, rule = B3/S23
7b3ob3o$6bo2bobo2bo$5bo3bobo3bo$5bo9bo$7bo5bo$4bobo7bobo$3b2obob2ob2ob
ob2o$2bobobo2bobo2bobobo$b2obo4bobo4bob2o$o3bob2obobob2obo3bo$4bob3o3b
3obo$2o3bo2b2ob2o2bo3b2o$4b2o9b2o$4bo11bo$3bobo9bobo$2bo15bo$4bo11bo$b
2obo11bob2o$o3b2o9b2o3bo$bo2bo11bo2bo$6b2o5b2o$3b2ob2o5b2ob2o$3b4obo3b
ob4o$2b2o4bo3bo4b2o$6bo2bobo2bo$7bobobobo$4b2obobobobob2o$4bo4bobo4bo$
6bo7bo$3b2obob2ob2obob2o$6bo7bo$4bobobo3bobobo2$5bobo5bobo$5bobo5bobo$
4b2ob2o3b2ob2o2$2b2obo2bo3bo2bob2o$2b2obo9bob2o$2bob2ob2o3b2ob2obo$b2o
bo4bobo4bob2o$6bo7bo$b3o4b2ob2o4b3o3$b2o15b2o$bo2b2o9b2o2bo$4bob2o5b2o
bo$2o6bo3bo6b2o$3b2obob2ob2obob2o$7bobobobo$9bobo$5b2o2bobo2b2o$5b2o2b
obo2b2o$4bo2bobobobo2bo$7bobobobo$7bobobobo$7bobobobo$6bo2bobo2bo$2b2o
2b3o3b3o2b2o$bo2bo11bo2bo$2b2o13b2o3$bo17bo$bo17bo!

Notably, this has minimal width (width-21) among odd-symmetric and gutter-symmetric (5,0)c/10 spaceships. This is probably also the minimal width for asymmetric 5c/10 ships, but given how hard it was for Keith Amling to prove that there are no 3c/6 asymmetric ships up to width 20, it seems we won't be proving this any time soon. At best, I was able to confirm with qfind (using the `-h 0` option) that there are no asymmetric (5,0)c/10 spaceships up to width 11. This is a case where qfind uses a lot less memory than LLSSS. I was unable to complete the 5c/10 width-11 search even with 120GB of memory.

I also double checked that there are no odd-symmetric (3,0)c/7 ships up to width 27 or even-symmetric (3,0)c/7 ships up to width 28 using LLSSS (I believe Keith already ran these searches). Unfortunately, I was not able to complete the (3,0)c/7 width-29 gutter-symmetric search with 120GB of memory.

[b-engine]

Here is a new 5c/10 spaceship found with a logical-width-10 gutter-symmetric qfind search that consists of a large p2 portion supporting a much smaller p10 portion:

Code: Select all

This spaceship is actually a 5c/10 tagalong pulled by a c/2 spaceship:

Code: Select all

x = 50, y = 43, rule = B3/S23
7b3ob3o$6bo2bobo2bo$5bo3bobo3bo$5bo9bo$7bo5bo16b3o13b3o$4bobo7bobo$3b
2obob2ob2obob2o12b3o13b3o$2bobobo2bobo2bobobo$b2obo4bobo4bob2o$o3bob2o
bobob2obo3bo9b2o15b2o$4bob3o3b3obo13bo2b2o9b2o2bo$2o3bo2b2ob2o2bo3b2o
12bob2o5b2obo$4b2o9b2o12b2o6bo3bo6b2o$4bo11bo15b2obob2ob2obob2o$3bobo
9bobo18bobobobo$2bo15bo19bobo$4bo11bo17b2o2bobo2b2o$b2obo11bob2o14b2o
2bobo2b2o$o3b2o9b2o3bo12bo2bobobobo2bo$bo2bo11bo2bo16bobobobo$6b2o5b2o
21bobobobo$3b2ob2o5b2ob2o18bobobobo$3b4obo3bob4o17bo2bobo2bo$2b2o4bo3b
o4b2o12b2o2b3o3b3o2b2o$6bo2bobo2bo15bo2bo11bo2bo$7bobobobo17b2o13b2o$
4b2obobobobob2o$4bo4bobo4bo$6bo7bo15bo17bo$3b2obob2ob2obob2o12bo17bo$
6bo7bo$4bobobo3bobobo2$5bobo5bobo$5bobo5bobo$4b2ob2o3b2ob2o2$2b2obo2b
o3bo2bob2o$2b2obo9bob2o$2bob2ob2o3b2ob2obo$b2obo4bobo4bob2o$6bo7bo$b3o
4b2ob2o4b3o!

Wondering if there's a way to shrink or replace the "pulling" spaceship.

[LuveelVoom]

Remarkable glider interaction:

Code: Select all

x = 35, y = 66, rule = B3/S23
7b3ob3o$6bo2bobo2bo$5bo3bobo3bo$5bo9bo$7bo5bo$4bobo7bobo$3b2obob2ob2o
bob2o$2bobobo2bobo2bobobo$b2obo4bobo4bob2o$o3bob2obobob2obo3bo$4bob3o
3b3obo$2o3bo2b2ob2o2bo3b2o$4b2o9b2o$4bo11bo$3bobo9bobo$2bo15bo$4bo11b
o$b2obo11bob2o$o3b2o9b2o3bo$bo2bo11bo2bo$6b2o5b2o$3b2ob2o5b2ob2o$3b4o
bo3bob4o$2b2o4bo3bo4b2o$6bo2bobo2bo$7bobobobo$4b2obobobobob2o$4bo4bob
o4bo$6bo7bo$3b2obob2ob2obob2o$6bo7bo$4bobobo3bobobo2$5bobo5bobo$5bobo
5bobo$4b2ob2o3b2ob2o2$2b2obo2bo3bo2bob2o$2b2obo9bob2o$2bob2ob2o3b2ob2o
bo$b2obo4bobo4bob2o$6bo7bo$b3o4b2ob2o4b3o3$b2o15b2o$bo2b2o9b2o2bo$4bo
b2o5b2obo$2o6bo3bo6b2o$3b2obob2ob2obob2o$7bobobobo$9bobo20b2o$5b2o2bo
bo2b2o16bobo$5b2o2bobo2b2o16bo$4bo2bobobobo2bo$7bobobobo$5bobobobobob
o$6b2obobob2o$2b2o4bo3bo4b2o$bo2bo11bo2bo$2b2o13b2o3$bo17bo$obo15bobo
$obo15bobo!

[HartmutHolzwart]

different stabilization:

Code: Select all

x = 41, y = 21, rule = B3/S23
8bo23bo$7b3ob2o15b2ob3o$6b2o3bob2o11b2obo3b2o$5b2o2bo4b5o3b5o4bo2b2o$
6bo5bobobob2ob2obobobo5bo$5b2o6bo3bobobobo3bo6b2o$3b2obobo10bobo10bobo
b2o$4bobob2o5b2o2bobo2b2o5b2obobo$b2obobo3bo4b2o2bobo2b2o4bo3bobob2o$b
2o3bo7bo2bobobobo2bo7bo3b2o$b3obo3b2o6bobobobo6b2o3bob3o$2o15bobobobo
15b2o$17bobobobo$16bo2bobo2bo$12b2o2b3o3b3o2b2o$11bo2bo11bo2bo$12b2o
13b2o3$11bo17bo$11bo17bo!

[dbell]

Here is a period 30 beehive puffer based on perturbing the new period 10 spaceship with a period 6 sparker spaceship.

Code: Select all

#C A c/2 period 30 beehive puffer.
x = 80, y = 69, rule = B3/S23
49bo$48b3o$47b3oboo$35bo4bo4boobobbo$34b3obooboobobo4boboo$33b4o7bobo
bboboboo$32boobboobobob3o8bo$33bo11boo7boo$32boo$30booboboo33b3o$31bob
obboo28b5obbo$28boobobbobbo24booboobobo3bo$28boobo5boo21boobo3bo6bo$
28bobo25b5o4bo6bo$27booboo20booboobobobo3bo6bobo$50boobo3bo3bo7b3obob
oo$27b3ob3o12b5o4bo13bo3bobobo$33boo10boobobobo3bo18boboo$34bo12bo3bo
16boo5bo3bo$8bo19boo4boo6boobo$7b3oboo12boobbo10booboboo13b3o12booboo$
6boo3boboo8boobo12bo3boboo12bo3bo$5boobbo4b5o3bo6boo7boobo16bo4boo$6bo
5boboboboobooboboo9bobobbo8b3o3booboobobo$5boo6bo3bobobobo12boobobobo
3b3ob3oboobo4boboo$3boobobo10bobo13bo3bobobbobbo3bobo4bo3bo4bo$4bobob
oo5boobbobobboo18b3obbo5bo$boobobo3bo4boobbobobboo9boobooboobobobo8boo
7boo$boo3bo7bobbobobobobbo17bobo$b3obo3boo6bobobobo12bo3bo$oo13bobobob
obobo10bo3bo$16booboboboo$12boo4bo3bo4boo7booboo$11bobbo11bobbo5b3ob3o
$12boo13boo5boob3oboo$33bo9bo$$11bo17bobbo11bo$10bobo15bobobbo4bo4bo$
10bobo15bobo11$29bo$28bobo$28bobo$29bo12$29bo$28bobo$28bobo$29bo!

A small arrangement of the sparker can create just a period 30 spaceship.

BCNU,
-dbell

[aFewTrafficLights]

I think I found a new wave, of which its velocity is (4,3)c/25 which was found while messing around with a "string" and putting it into random places until something interesting comes out. This one (below) yielded the wave:

Code: Select all

x = 60, y = 60, rule = B3/S23:T60,60
o3bo5bo9bo3bo5bo9bo3bo5bo$o3bo5bo9bo3bo5bo9bo3bo5bo$bo3bo5bo9bo3bo5bo
9bo3bo5bo$2b2o2b2o4b2o8b2o2b2o4b2o8b2o2b2o4b2o$4bo3bo5bo9bo3bo5bo9bo3b
o5bo$4bo3bo5bo9bo3bo5bo9bo3bo5bo$5bo3bo5bo9bo3bo5bo9bo3bo5bo$6b2o2b2o
4b2o8b2o2b2o4b2o8b2o2b2o4b2o$8bo3bo5bo9bo3bo5bo9bo3bo5bo$8bo3bo5bo9bo
3bo5bo9bo3bo5bo$9bo3bo5bo9bo3bo5bo9bo3bo5bo$2o8b2o2b2o4b2o8b2o2b2o4b2o
8b2o2b2o$2bo9bo3bo5bo9bo3bo5bo9bo3bo$2bo9bo3bo5bo9bo3bo5bo9bo3bo$3bo9b
o3bo5bo9bo3bo5bo9bo3bo$4b2o8b2o2b2o4b2o8b2o2b2o4b2o8b2o2b2o$o5bo9bo3bo
5bo9bo3bo5bo9bo$o5bo9bo3bo5bo9bo3bo5bo9bo$bo5bo9bo3bo5bo9bo3bo5bo9bo$
2b2o4b2o8b2o2b2o4b2o8b2o2b2o4b2o8b2o$o3bo5bo9bo3bo5bo9bo3bo5bo$o3bo5bo
9bo3bo5bo9bo3bo5bo$bo3bo5bo9bo3bo5bo9bo3bo5bo$2b2o2b2o4b2o8b2o2b2o4b2o
8b2o2b2o4b2o$4bo3bo5bo9bo3bo5bo9bo3bo5bo$4bo3bo5bo9bo3bo5bo9bo3bo5bo$
5bo3bo5bo9bo3bo5bo9bo3bo5bo$6b2o2b2o4b2o8b2o2b2o4b2o8b2o2b2o4b2o$8bo3b
o5bo9bo3bo5bo9bo3bo5bo$8bo3bo5bo9bo3bo5bo9bo3bo5bo$9bo3bo5bo9bo3bo5bo
9bo3bo5bo$2o8b2o2b2o4b2o8b2o2b2o4b2o8b2o2b2o$2bo9bo3bo5bo9bo3bo5bo9bo
3bo$2bo9bo3bo5bo9bo3bo5bo9bo3bo$3bo9bo3bo5bo9bo3bo5bo9bo3bo$4b2o8b2o2b
2o4b2o8b2o2b2o4b2o8b2o2b2o$o5bo9bo3bo5bo9bo3bo5bo9bo$o5bo9bo3bo5bo9bo
3bo5bo9bo$bo5bo9bo3bo5bo9bo3bo5bo9bo$2b2o4b2o8b2o2b2o4b2o8b2o2b2o4b2o
8b2o$o3bo5bo9bo3bo5bo9bo3bo5bo$o3bo5bo9bo3bo5bo9bo3bo5bo$bo3bo5bo9bo3b
o5bo9bo3bo5bo$2b2o2b2o4b2o8b2o2b2o4b2o8b2o2b2o4b2o$4bo3bo5bo9bo3bo5bo
9bo3bo5bo$4bo3bo5bo9bo3bo5bo9bo3bo5bo$5bo3bo5bo9bo3bo5bo9bo3bo5bo$6b2o
2b2o4b2o8b2o2b2o4b2o8b2o2b2o4b2o$8bo3bo5bo9bo3bo5bo9bo3bo5bo$8bo3bo5bo
9bo3bo5bo9bo3bo5bo$9bo3bo5bo9bo3bo5bo9bo3bo5bo$2o8b2o2b2o4b2o8b2o2b2o
4b2o8b2o2b2o$2bo9bo3bo5bo9bo3bo5bo9bo3bo$2bo9bo3bo5bo9bo3bo5bo9bo3bo$
3bo9bo3bo5bo9bo3bo5bo9bo3bo$4b2o8b2o2b2o4b2o8b2o2b2o4b2o8b2o2b2o$o5bo
9bo3bo5bo9bo3bo5bo9bo$o5bo9bo3bo5bo9bo3bo5bo9bo$bo5bo9bo3bo5bo9bo3bo5b
o9bo$2b2o4b2o8b2o2b2o4b2o8b2o2b2o4b2o8b2o!

where the wave in question is here, with one of the "engine" parts of the wave highlighted, both for the inital position and the position after 25 ticks:

Code: Select all

x = 240, y = 60, rule = LifeHistory:T240-60,60
21.A5.A.A$21.2A6.A$20.2A8.3A$33.A$25.A5.A.A$25.2A6.A$24.2A8.3A$37.A$
29.A5.A.A$29.2A6.A$28.2A8.3A$41.A$33.A5.A.A$33.2A6.A$32.2A8.3A$45.A$
37.A5.A.A$37.2A6.A$36.2A8.3A$49.A$41.A5.A.A$41.2A6.A$40.2A8.3A$53.A$
45.E5.A.A$45.2E6.A$44.2E8.3A$57.A$42.D6.A5.A.A$42.2D5.2A6.A$41.2D5.2A
8.3A$61.A$53.A5.A.A$53.2A6.A$52.2A8.3A$65.A$57.A5.A.A$57.2A6.A$56.2A
8.3A$69.A$61.A5.A.A$61.2A6.A$60.2A8.3A$73.A$65.A5.A.A$65.2A6.A$64.2A
8.3A$77.A$69.A5.A.A$69.2A6.A$68.2A8.3A$81.A$73.A5.A.A$73.2A6.A$72.2A
8.3A$85.A$77.A5.A.A$77.2A6.A$76.2A8.3A$89.A!

edit: fixed a typo.

[Sokwe]

I have confirmed with WLS 0.63 that 77P6H1V1 is the only (1,1)c/6 spaceship up to diagonal height 12 (the height of the envelope after, in this case, 5 ticks minimized over the starting phases). This isn't surprising, as there is only one (1,1)c/4 spaceship (the glider) and one (1,1)c/5 spaceship (58P5H1V1) up to diagonal height 12.