Construction Challenges and Ideas

[dvgrn]

Find shorter recipe for shooting the glider which destroys the target block at the same time. In the pattern I simply combined the shortest glider emitter recipe with the elbow destroy recipe, but this means that the glider is shot very early compared to the end of the full recipe. That's why the SW turners are very far away compared to the already far away Snarks, I had to somehow demonstrate how the entire tape is let through first. They need to be closer, in order to reduce construction cost.

"Elbow-destroying" 90-degree single-channel recipes are definitely available somewhere or other. I thought I remembered a big list of them being posted at some point early on in the development of the single-channel library that slsparse uses. If I remember right, I replied and said that elbow-preserving recipes were going to be more generally useful... but I might not be remembering right.

So far the only relevant post that I can find of an "elbow-destroying" recipe where the last glider in the recipe triggers the output glider, is this one -- but that's a difficult 180-degree output. A clean 90-degree output should be within easy reach of a short enumeration -- I'd expect just some high single-digit number of gliders.

[B468S02357]

Several spaceship ideas:

Code: Select all

x = 14, y = 15, rule = B/S012345678
2o$o11b2o$2bo9b2o$3bo7bo$4bo5bo$5bo3bo$8bo$6b2o$6b2o$5bo$4bo$3bo$2bo$
2o$2o!

The middle region is a reaction traveling through a reburnable fuse, that moves slightly as it's traveled. The end regions are reactions that flip it backwards, and are repeatable and slightly moved.

Code: Select all

x = 17, y = 17, rule = B/S012345678
15b2o$16bo$14bo$13bo$12bo$6b2o$6b2ob2o$5bo3b2o$4bo3bo$3bo3bo2b2o$2bo3b
o3b2o$bo3bo3bo$4bo3bo$3bo3bo$6bo$2o3bo$2o!

This growing spaceship consists of several rakes extending an arm backwards, like a reverse slide gun.

Code: Select all

x = 3, y = 22, rule = B/S012345678
3o$3o3$obo2$obo3$bo3$3o$3o3$bo$bo$bo2$obo$bo!

It doesn't move, it teleports, like a geminoid. It's a spark that dies out, but in the process, produces a predecessor for itself slightly moved. It's not a geminoid, the child doesn't kill the parent, the parent dies out on its own. Could be used to perturb other objects.

[DarioViva]

Is there a pattern that moves like langtons ant? It should start in an empty medium. It should not be as pretty as the OTCA metapixel. Using a simple still life is sufficient. Is this possible?

[dvgrn]

Is there a pattern that moves like langtons ant? It should start in an empty medium. It should not be as pretty as the OTCA metapixel. Using a simple still life is sufficient. Is this possible?

Not with a simple still life, since then there's no way for movement to happen. But there is a non-Conway's-Life rule in which something very simple behaves like Langton's Ant:

Code: Select all

x = 4, y = 2, rule = B3-cjkq4knqy5cnr7/S02-cn3-ak4eiq5kq6e7e
o2bo$3o!

This means that we could program 0E0P metacells to emulate this rule, and get Langton's Ant behavior in Life, at least up to a point.

It's only "up to a point" because, well, multi-ant behavior isn't exactly well-defined anyway, but it definitely doesn't work in any standard way in this Langton's Ant emulator rule.

[dvgrn]

Find shorter recipe for shooting the glider which destroys the target block at the same time. In the pattern I simply combined the shortest glider emitter recipe with the elbow destroy recipe, but this means that the glider is shot very early compared to the end of the full recipe.

As I mentioned on Discord, there are definitely moderate-length recipes out there that will shoot a sideways glider triggered by the very last glider in the recipe.

I'm getting closer to digging out the source of my memory of a big pile of these "elbow-destroying" 90-degree glider recipes. It was probably in a post by chris_c, not by simeks, and it was probably for some construction toolkit like the 10hd or 9hd or 0hd toolkit, not the standard single-channel one ... so not really helpful to you:

Also, for one of the toolkits chris_c was able to collect a very large pile of elbow-destroying glider outputs.

However, you could probably get slsparse to build you a fairly reasonable-price recipe that would match the requirements (last glider triggers the clean sideways glider). Try getting it to compile you a 0-degree recipe for the cheapest-looking OTT that you can find -- a boat or two blocks in the right place relative to the single-channel lane. You'll still have to send the elbow-destroy recipe after the OTT is constructed, but now it's the 0-degree elbow that has to be destroyed, so the trigger glider will be after those gliders instead of before it.

[DarioViva]

Is there a pattern that moves like langtons ant? It should start in an empty medium. It should not be as pretty as the OTCA metapixel. Using a simple still life is sufficient. Is this possible?

Not with a simple still life, since then there's no way for movement to happen. But there is a non-Conway's-Life rule in which something very simple behaves like Langton's Ant

Sorry I was a bit inaccurate. I meant a pattern that moves and emits a still life (no need to fill full pixels). But if this particular still life is already there it should destroy it. So sometimes behaving like a puffer and sometimes like an eraser.

[dvgrn]

Sorry I was a bit inaccurate. I meant a pattern that moves and emits a still life (no need to fill full pixels). But if this particular still life is already there it should destroy it. So sometimes behaving like a puffer and sometimes like an eraser.

It's always theoretically possible that a smallish CGoL pattern exists that emulates Langton's Ant, just as the B-heptomino-like thing does in B3-cjkq4knqy5cnr7/S02-cn3-ak4eiq5kq6e7e. But unless it's _very_ small it's really not findable with current search tools.

We could engineer a simplest-possible Langton's Ant simulator using known technology. But if the emulated ant pattern has to start in an empty universe, it will have to be somewhat painfully large, due to the high overhead of basic self-construct and self-destruct mechanisms in B3/S23.

Here's a thread where a similar question came up. If we're allowed to fill the universe with a background pattern, then the problem gets very much simpler.

[DarioViva]

It's always theoretically possible that a smallish CGoL pattern exists that emulates Langton's Ant, just as the B-heptomino-like thing does in B3-cjkq4knqy5cnr7/S02-cn3-ak4eiq5kq6e7e. But unless it's _very_ small it's really not findable with current search tools.

Or maybe a little simpler... Is there a pattern that almost does this thing but without the left and right turning? So it moves in a straight line and toggles the presence of still lifes that are positioned in a certain frequency in its track.

[I6_I6]

It's always theoretically possible that a smallish CGoL pattern exists that emulates Langton's Ant, just as the B-heptomino-like thing does in B3-cjkq4knqy5cnr7/S02-cn3-ak4eiq5kq6e7e. But unless it's _very_ small it's really not findable with current search tools.

Or maybe a little simpler... Is there a pattern that almost does this thing but without the left and right turning? So it moves in a straight line and toggles the presence of still lifes that are positioned in a certain frequency in its track.

Here's a simple one:

Code: Select all

x = 47, y = 93, rule = B3/S23
13b2o$13b2o15$29b2o$29b2o7$37b2o$37b2o12$33b2obo$32b3obo6bobo$31bo4bo
bo4bo$32b2o6bobo3bo$33bo3bo2bo2b2o$36bob2o3bo$35bobo$35bobo2$27bo$26b
3o$25b3obo$24bo3bo$23b2o2bo2bo$22b3o2b4o$24bo3bo2bo$24bo6bo$3b3o20bo2b
o7bo$2bo3bo21b2ob2o4bo$bo4bo21bo8bo3bo$o3bo35bobo$o2bob3o33bo$o7bo$2b
o3bobo$2bo3bob2o$4b3ob2o$20b2o$20b2o3$4b2o$4b2o15b4o2b2o$5bo15bo2bobo
b2o$21b2ob2obo$5bo17bo3$3bo5b3o$3bo7bo$3bo5bobo10b2o$9b2o10bo2bo$20bo
3bo$22b2o2$16bo$14b2o$8b2o2b2o5bo$8b2o4b2o$18bo$15b4o$14bobo$13bo2b2o
bo$14bo4bo$15bo$16bo2bo$16b2o!

It's just a switch engine-based edgy block puffer, where the exhaust is suppressed by the presence of a block in its path.

[b-engine]

Had someone ever constructed a (reusable) W110 metacell in Life to once again prove Life Turing complete?
It would be relatively simple, but I couldn't find any in the forums.

[gameoflifemaniac]

Had someone ever constructed a (reusable) W110 metacell in Life to once again prove Life Turing complete?
It would be relatively simple, but I couldn't find any in the forums.

https://web.archive.org/web/20060629032 ... _cell.html

[qqd]

Construct a version of the 0E0P metacell that can simulate B0 rules without S8 (by simulating alternate rules on alternate generations, much like how Golly simulates B0 rules using QuickLife)

[B468S02357]

A spaceship that has a bounding box that covers an area of less than a million cells in its maximum area but has a period of over a centillion

[PK22]

A spaceship that has a bounding box that covers an area of less than a million cells in its maximum area but has a period of over a centillion

That’s theoretically possible, but it needs to fit into a roughly 1000x1000 bounding box, which is over three orders of magnitude larger than the smallest self-constructing spaceship’s bounding box.

You can probably make an oscillator that fits your criteria with a p256 gun and about a thousand CC Semi-snarks, but there is almost certainly no way to encode a universal construction recipe in that way, so your challenge is impossible with current technology (and likely future technology as well).

[dbell]

A spaceship that has a bounding box that covers an area of less than a million cells in its maximum area but has a period of over a centillion

This old pattern in jslife almost meets the criteria.

Code: Select all

#C This demonstrates a way of doubling the period of rakes whose
#C period is a multiple of 24. The technique involves an incoming
#C glider that toggles the phase of a p24 spaceship. The period-
#C doublers can be chained, thus increasing the period exponentially.
#C This example is period 768 and uses five period doubling units.
#C An extra LWSS is inserted a the back to delete the final output
#C glider to make a spaceship.
#C David I. Bell, 12 Nov 1999
x = 258, y = 54, rule = B3/S23
54boo88boo88boo$21boo29bo4bo53boo29bo4bo53boo29bo4bo$20boob3o25bo58boo
b3o25bo58boob3o25bo$21b5o25bo5bo53b5o25bo5bo53b5o25bo5bo$22b3o26b6o55b
3o26b6o55b3o26b6o$$22boo102bo$21bo13bo75boo13bobbo14boo61b3o14bo$19boo
b5o7bobbo71boobbo4boo7bo15bo55b3o5bobbo14boo$19bo6boo7bobo71bobb3o3boo
9boo5bobo4bobo53bo7booboo6boobobbo$19bo7boo8bo71bo4bo3b3o4boo9bobo5bo
54bobo10bo6b3o$20bobbo3bo8bo73b5o4b3o4boo9bobo60boo8boo8boo$22bo13bo
75boo6b3o3boo82bo$62b4o55boo5bo23b4o86b4o$18bobbo27bo11b6o41bobbo15bo
23b6o41bobbo39b6o$17bo29boo11boob4o40bo19bo22boob4o40bo42boob4o$17bo3b
o25booboo9boo44bo3bo39boo44bo3bo39boo$17b4o26bo3bo55b4o86b4o$27boo19bo
boo$27bobo9b5o5boo65boo11b5o85b5o$14boo11bo11bo4bo71bobo10bo4bo84bo4bo
$13b4o22bo61b6o9bo12bo61b6o22bo$12booboo23bo3bo56bo5bo22bo3bo56bo5bo
22bo3bo$13boo27bo6boo50bo30bo6boo50bo30bo6boo$21boo25b4o50bo4bo30b4o
50bo4bo30b4o$21bobo23booboo52boo31booboo52boo31booboo$bobbo16bo26boo
16bo27boo42boo44boo42boo$o64bo27b4o86b4o$o3bo60b3o24booboo85booboo$4o
9boo78boo88boo$6b3o5boo40b6o84b6o84b6o$6booboo6b3o3boobboo27bo5bo83bo
5bo83bo5bo$6b3o5boo9b3o28bo27b5o57bo27b5o57bo$4o10bo42bo4bo21bo4bo57bo
4bo21bo4bo57bo4bo$o3bo9boo43boo23bo64boo23bo64boo$o62bobbo18bo3bo63bo
bbo18bo3bo$bobbo57bo24bo19b4o41bo24bo19b4o55bo$10b4o13boo33bo3bo39b6o
40bo3bo39b6o53bo$9b6o12boo33b4o18bo20boob4o40b4o39boob4o53b3o$8boob4o
13bo50boobbobo20boo63boo23boo$9boo67b3obbobo84boo79bobbo$67bobo5b5o3b
oo80b3obb3o12bo64bo$19boo45bo3boo3b3o15b3o60boo6boob3o13boobbo62bo3bo$
18booboo41boobob3obbobbo16boo58booboo4bobb3o6bo4boo6bo61b4o$19b4o41bo
4b3obobbo8bo13bo54bobbo5b6o5bo5boo7bo$20boo42bo3bo5boo7b3o13bo54bobbo
4bobboo5boo13boo$65b3o15b3o14bo54boo6bo7boo$67boo32bo68bo18boo$97bo4bo
68boo14bo4bo$96bo89bo$66boo28bo5bo53boo28bo5bo$65boob3o25b6o53boob3o
25b6o$66b5o85b5o$67b3o87b3o!

Assuming my calculations are right:

The pattern has a height of 54 and a width of about 66 + 45 * N, where N is the number of period doubling units. The area of the bounding box is therefore about 3564 + 2430 * N and the period is 24 * 2^N.

The short centillion is 10^303, which is about 2^1006.

So for N about 1002, the pattern has a large enough period. It has a width of 45156 cells, with an area of 2438424 cells.

So the pattern only misses by less than a factor of three in the area.

BCNU,
-dbell

[I6_I6]

Use chucklebait as an actual bait object. (Doesn't need to be elementary)

[LuveelVoom]

Using Jason's p33, construct a strictly volatile p33 gun.

[B468S02357]

S:GdhWmRsRdtW2mGbGdwR2dm(S:GdhWmRsRdtW2mGbGdwR2dm)f
That is the title for my convoluted spaceship.
For the S:GdhWmRsRdtW2mGbGdwR2dm(S:GdhWmRsRdtW2mGbGdwR2dm)f, the structure would be like this.

Code: Select all

x = 122, y = 29, rule = B3/S23
29o2b29o2b29o2b29o$o27bo2bo27bo2bo27bo2bo27bo$o27bo2bo27bo2bo27bo2bo27b
o$o27bo2bo27bo2bo11bo15bo2bo11bo15bo$o12bo14bo2bo12bo14bo2bo12bo14bo2b
o10bobo14bo$o11bobo13bo2bo11bobo13bo2bo13bo13bo2bo10bo2bo13bo$o11bo2b
o12bo2bo11bo2bo12bo2bo14bo12bo2bo9bo4bo12bo$o10bo4bo11bo2bo10bo4b2o10b
o2bo15bo11bo2bo9bo5bo11bo$o10bo5bo10bo2bo10bo4b2o10bo2bo16bo10bo2bo8b
o7bo10bo$o9bo7bo9bo2bo9bo7bo9bo2bo17bo9bo2bo8bo8bo9bo$o9bo8bo8bo2bo9b
o8bo8bo2bo18bo8bo2bo7bo10bo8bo$o8bo10bo7bo2bo8bo10bo7bo2bo19bo7bo2bo7b
o11bo7bo$o8bo11bo6bo2bo8bo11bo6bo2bo20bo6bo2bo6bo13bo6bo$o7bo13bo5bo2b
o7bo13bo5bo2bo7b2o10bo7bo2bo6bo12bo7bo$o7bo12bo6bo2bo7bo12bo6bo2bo7b2o
10bo7bo2bo5bo13bo7bo$o6bo13bo6bo2bo6bo13bo6bo2bo6bo10b2o8bo2bo5bo11b2o
8bo$o6bo11b2o7bo2bo6bo11b2o7bo2bo6bo9bo10bo2bo4bo11bo10bo$o5bo11bo9bo
2bo5bo11bo9bo2bo5bo10bo10bo2bo4bo11bo10bo$o5bo11bo9bo2bo5bo11bo9bo2bo
5bo5b2ob2o11bo2bo2b2o10b2o11bo$o3b2o10b2o10bo2bo3b2o10b2o10bo2bo3b2o6b
3o13bo2bo2b2o6b4o13bo$o3b2o6b4o12bo2bo3b2o6b4o12bo2bo3b2o6bo15bo2bo4b
6o17bo$o5b6o16bo2bo5b6o16bo2bo5b6o16bo2bo27bo$o27bo2bo27bo2bo27bo2bo27b
o$o27bo2bo27bo2bo27bo2bo27bo$o27bo2bo27bo2bo27bo2bo27bo$o27bo2bo27bo2b
o27bo2bo27bo$o27bo2bo27bo2bo27bo2bo27bo$o27bo2bo27bo2bo27bo2bo27bo$29o
2b29o2b29o2b29o!

In the bottom left, a gun. In the top, the start of a wick, where spaceships hit the wick. In the bottom right, a second wick that moves the first wick, itself, and the gun forwards.
When the spaceships hit the wick, one side has another segment added. It travels down the wick, not destroying it, and a reaction travels down a second wick (bottom) and about halfway through, it makes a spaceship hitting the gun's ships destroying them for long enough the S:GdhWmRsRdtW2mGbGdwR2dm(S:GdhWmRsRdtW2mGbGdwR2dm)f doesn't get destroyed. When the reaction travels down the second wick, it moves the gun in the same direction at the same speed.
OR
A REALLY small geminoid, something like this.

iddi01 posted this on ColorfulGalaxy's page. The orthogonoid is not by ColorfulGalaxy.

Code: Select all

#C 34c/21672 orthogonoid, credits to cvojan for the pseudo-orthogonoid
x = 273, y = 6353, rule = 1c2-an3-ijqr4-inrwy5cejkr6cen78/2-ac3ikr4-iktwy5acejq6-i78/3
142$113.3A$113.2AB512$115.A$114.ABA$114.B.B9$114.3A$114.A.A5$114.3A$
114.A.A6$115.A$114.ABA$114.B.B12$115.A$114.ABA$114.B.B13$114.3A$114.A
.A5$114.3A$114.A.A8$115.A$114.ABA$114.B.B12$115.A$114.ABA$114.B.B23$
114.3A$114.A.A5$114.3A$114.A.A5$115.A$114.ABA$114.B.B10$114.3A$114.A.
A13.A$131.2A$131.2A6$146.2A$114.3A29.2A$114.A.A8$89.2A32.2A$89.2A6.A.
A23.2A6.A.A$93.B4.A33.A$91.A.B3.A.A3.2A11.A.A12.A.A16.A.A$91.AB2A9.A
12.A33.A$93.B9.2A11.A.A31.A.A$97.3A$97.A.A8$97.3A$97.A.A14.A.A$114.3A
4$97.3A$97.A.A4$114.A.A$114.3A3$98.A$97.ABA$97.B.B5$114.B.B$114.ABA$
115.A5$98.A15.A.A$97.ABA14.3A$97.B.B4$114.A.A$114.3A12$97.3A$97.A.A5$
97.3A$97.A.A4$114.B.B$114.ABA$98.A16.A$97.ABA$97.B.B6$98.A$97.ABA$97.
B.B2$114.B.B$114.ABA$115.A$98.A$97.ABA$97.B.B5$97.3A14.A.A$97.A.A14.
3A5$114.A.A$114.3A$97.3A$97.A.A9$98.A$97.ABA$97.B.B14.B.B$114.ABA$
115.A2$98.A$97.ABA$97.B.B5$98.A$97.ABA$97.B.B$114.B.B$114.ABA$115.A6$
114.A.A$97.3A14.3A$97.A.A4$114.A.A$97.3A14.3A$97.A.A6$98.A$97.ABA$97.
B.B14.B.B$114.ABA$115.A10$98.A$97.ABA$97.B.B27$97.3A$97.A.A5$97.3A$
97.A.A8$98.A$97.ABA$97.B.B7$98.A$97.ABA$97.B.B6$98.A$97.ABA$97.B.B29$
97.3A$97.A.A10$97.3A$97.A.A16$97.3A$97.A.A6$97.3A$97.A.A26$97.3A$97.A
.A8$97.3A$97.A.A6$97.3A$97.A.A5$97.3A$97.A.A22$97.3A$97.A.A17$97.3A$
97.A.A10$98.A$97.ABA$97.B.B5$97.3A$97.A.A8$98.A$97.ABA$97.B.B8$97.3A$
97.A.A21$97.3A$97.A.A10$97.3A$97.A.A16$97.3A$97.A.A6$97.3A$97.A.A26$
97.3A$97.A.A8$97.3A$97.A.A6$97.3A$97.A.A5$97.3A$97.A.A22$97.3A$97.A.A
13$97.3A$97.A.A10$98.A$97.ABA$97.B.B6$97.3A$97.A.A9$97.3A$97.A.A7$97.
3A$97.A.A8$97.3A$97.A.A21$97.3A$97.A.A5$97.3A$97.A.A6$98.A$97.ABA$97.
B.B12$98.A$97.ABA$97.B.B60$97.3A$97.A.A5$97.3A$97.A.A9$97.3A$97.A.A
12$97.3A$97.A.A8$98.A$97.ABA$97.B.B6$97.3A$97.A.A9$97.3A$97.A.A321$
97.3A$97.A.A5$98.A$97.ABA$97.B.B6$97.3A$97.A.A9$97.3A$97.A.A7$97.3A$
97.A.A8$97.3A$97.A.A15$97.3A$97.A.A5$97.3A$97.A.A8$98.A$97.ABA$97.B.B
12$98.A$97.ABA$97.B.B53$97.3A$97.A.A5$97.3A$97.A.A8$98.A$97.ABA$97.B.
B12$98.A$97.ABA$97.B.B23$97.3A$97.A.A5$97.3A$97.A.A5$98.A$97.ABA$97.B
.B10$97.3A$97.A.A9$97.3A$97.A.A21$97.3A$97.A.A5$97.3A$97.A.A8$97.3A$
97.A.A5$97.3A$97.A.A8$98.A$97.ABA$97.B.B12$98.A$97.ABA$97.B.B17$97.3A
$97.A.A5$97.3A$97.A.A6$98.A$97.ABA$97.B.B6$98.A$97.ABA$97.B.B5$98.A$
97.ABA$97.B.B5$97.3A$97.A.A7$97.3A$97.A.A9$98.A$97.ABA$97.B.B4$98.A$
97.ABA$97.B.B5$98.A$97.ABA$97.B.B12$97.3A$97.A.A10$98.A$97.ABA$97.B.B
6$97.3A$97.A.A9$97.3A$97.A.A7$97.3A$97.A.A8$97.3A$97.A.A10$97.3A$97.A
.A5$97.3A$97.A.A6$98.A$97.ABA$97.B.B12$98.A$97.ABA$97.B.B6$98.A$97.AB
A$97.B.B4$98.A$97.ABA$97.B.B11$97.3A$97.A.A25$114.B.B$114.ABA$115.A5$
97.3A$97.A.A14.A.A$114.3A5$97.3A14.A.A$97.A.A14.3A10$97.3A$97.A.A27$
97.3A$97.A.A8$97.3A$97.A.A10$97.3A$97.A.A4$98.A$97.ABA$97.B.B10$97.3A
$97.A.A$114.B.B$114.ABA$115.A2$97.3A$97.A.A5$114.B.B$114.ABA$115.A2$
97.3A$97.A.A3$114.A.A$114.3A8$97.3A14.B.B$97.A.A14.ABA$115.A7$98.A$
97.ABA$97.B.B2$114.B.B$114.ABA$115.A2$97.3A$97.A.A5$114.B.B$114.ABA$
115.A2$97.3A$97.A.A$114.B.B$114.ABA$115.A30$114.B.B$114.ABA$115.A7$
114.B.B$114.ABA$115.A6$114.B.B$114.ABA$115.A8$114.B.B$114.ABA$115.A6$
114.A.A$114.3A10$114.B.B$114.ABA$115.A14$97.3A$97.A.A5$98.A$97.ABA$
97.B.B$114.A.A$114.3A4$97.3A$97.A.A3$114.A.A$114.3A5$97.3A$97.A.A$
114.A.A$114.3A5$97.3A$97.A.A3$114.A.A$114.3A4$97.3A$97.A.A$114.B.B$
114.ABA$115.A10$114.A.A$114.3A$97.3A$97.A.A5$97.3A$97.A.A4$114.B.B$
114.ABA$115.A2$98.A$97.ABA$97.B.B$114.B.B$114.ABA$115.A4$114.B.B$114.
ABA$115.A3$98.A$97.ABA$97.B.B4$114.A.A$114.3A7$114.A.A$114.3A5$114.B.
B$114.ABA$115.A5$114.B.B$114.ABA$115.A6$114.B.B$114.ABA$115.A6$114.A.
A$114.3A5$114.A.A$97.3A14.3A$97.A.A5$97.3A$97.A.A9$97.3A$97.A.A14.B.B
$114.ABA$115.A10$97.3A$97.A.A$114.B.B$114.ABA$115.A5$98.A$97.ABA$97.B
.B$114.A.A$114.3A4$97.3A$97.A.A14.A.A$114.3A8$97.3A14.A.A$97.A.A14.3A
5$114.A.A$114.3A21$114.A.A$114.3A9$114.A.A$114.3A10$114.B.B$114.ABA$
115.A5$114.A.A$114.3A5$114.A.A$114.3A23$114.B.B$114.ABA$115.A12$114.B
.B$114.ABA$115.A8$114.A.A$114.3A5$114.A.A$114.3A18$114.B.B$114.ABA$
115.A12$114.B.B$114.ABA$115.A6$114.A.A$114.3A5$114.A.A$114.3A18$114.B
.B$114.ABA$115.A7$114.B.B$114.ABA$115.A6$114.B.B$114.ABA$115.A8$114.B
.B$114.ABA$115.A6$114.A.A$114.3A5$114.B.B$114.ABA$115.A166$114.A.A$
114.3A8$114.B.B$114.ABA$115.A8$114.A.A$114.3A5$114.B.B$114.ABA$115.A
10$114.A.A$114.3A14$114.B.B$114.ABA$115.A7$114.B.B$114.ABA$115.A6$
114.B.B$114.ABA$115.A8$114.B.B$114.ABA$115.A10$114.A.A$114.3A5$114.A.
A$114.3A6$114.A.A$114.3A5$114.B.B$114.ABA$115.A4$114.A.A$114.3A9$114.
A.A$114.3A10$114.A.A$114.3A5$114.B.B$114.ABA$115.A21$114.B.B$114.ABA$
115.A4$114.A.A$114.3A10$114.A.A$114.3A8$114.A.A$114.3A20$114.A.A$114.
3A6$114.A.A$114.3A5$114.A.A$114.3A5$114.B.B$114.ABA$115.A9$114.A.A$
114.3A8$114.B.B$114.ABA$115.A8$114.A.A$114.3A5$114.B.B$114.ABA$115.A
10$114.A.A$114.3A102$114.A.A$114.3A11$114.B.B$114.ABA$115.A9$114.B.B$
114.ABA$115.A8$114.B.B$114.ABA$115.A5$114.A.A$114.3A5$114.A.A$114.3A
5$114.A.A$114.3A4$114.B.B$114.ABA$115.A33$114.A.A$114.3A13$114.B.B$
114.ABA$115.A5$114.B.B$114.ABA$115.A12$114.B.B$114.ABA$115.A8$114.A.A
$114.3A5$114.A.A$114.3A63$114.B.B$114.ABA$115.A7$114.B.B$114.ABA$115.
A6$114.B.B$114.ABA$115.A8$114.B.B$114.ABA$115.A6$114.A.A$114.3A5$114.
B.B$114.ABA$115.A91$114.A.A$114.3A7$114.A.A$114.3A8$114.A.A$114.3A8$
114.B.B$114.ABA$115.A4$114.B.B$114.ABA$115.A9$114.A.A$114.3A8$114.A.A
$114.3A7$114.A.A$114.3A9$114.A.A$114.3A9$114.A.A$114.3A6$114.A.A$114.
3A7$114.B.B$114.ABA$115.A5$114.A.A$114.3A45$114.A.A$114.3A21$114.A.A$
114.3A11$114.B.B$114.ABA$115.A4$114.B.B$114.ABA$115.A23$114.A.A$114.
3A7$114.A.A$114.3A8$114.A.A$114.3A8$114.B.B$114.ABA$115.A4$114.B.B$
114.ABA$115.A10$114.A.A$114.3A11$114.A.A$114.3A7$114.A.A$114.3A9$114.
A.A$114.3A14$114.A.A$114.3A6$114.A.A$114.3A9$114.A.A$114.3A9$114.A.A$
114.3A11$114.B.B$114.ABA$115.A10$114.A.A$114.3A14$114.A.A$114.3A23$
114.B.B$114.ABA$115.A12$114.B.B$114.ABA$115.A8$114.A.A$114.3A5$114.A.
A$114.3A9$114.A.A$114.3A8$114.A.A$114.3A7$114.A.A$114.3A9$114.A.A$
114.3A10$114.B.B$114.ABA$115.A5$114.A.A$114.3A8$114.A.A$114.3A32$114.
B.B$114.ABA$115.A8$114.A.A$114.3A5$114.B.B$114.ABA$115.A10$114.A.A$
114.3A20$114.B.B$114.ABA$115.A5$114.B.B$114.ABA$115.A4$114.B.B$114.AB
A$115.A9$114.A.A$114.3A7$114.A.A$114.3A5$114.B.B$114.ABA$115.A5$114.B
.B$114.ABA$115.A6$114.B.B$114.ABA$115.A6$114.A.A$114.3A5$114.A.A$114.
3A17$114.B.B$114.ABA$115.A12$114.B.B$114.ABA$115.A8$114.A.A$114.3A5$
114.A.A$114.3A8$114.A.A$114.3A5$114.A.A$114.3A21$114.A.A$114.3A9$114.
A.A$114.3A10$114.B.B$114.ABA$115.A5$114.A.A$114.3A5$114.A.A$114.3A23$
114.B.B$114.ABA$115.A12$114.B.B$114.ABA$115.A8$114.A.A$114.3A5$114.A.
A$114.3A9$114.A.A$114.3A8$114.A.A$114.3A7$114.A.A$114.3A9$114.A.A$
114.3A7$114.A.A$114.3A6$114.A.A$114.3A10$114.B.B$114.ABA$115.A8$114.A
.A$114.3A40$114.A.A$114.3A9$114.A.A$114.3A5$114.A.A$114.3A23$114.A.A$
114.3A13$114.A.A$114.3A8$114.B.B$114.ABA$115.A4$114.B.B$114.ABA$115.A
14$114.B.B$114.ABA$115.A7$114.B.B$114.ABA$115.A6$114.B.B$114.ABA$115.
A8$114.B.B$114.ABA$115.A6$114.A.A$114.3A5$114.B.B$114.ABA$115.A101$
114.B.B$114.ABA$115.A8$114.B.B$114.ABA$115.A4$114.B.B$114.ABA$115.A9$
114.A.A$114.3A8$114.A.A$114.3A7$114.A.A$114.3A9$114.A.A$114.3A10$114.
B.B$114.ABA$115.A8$114.A.A$114.3A12$114.A.A$114.3A9$114.A.A$114.3A5$
114.A.A$114.3A18$114.B.B$114.ABA$115.A19$114.B.B$114.ABA$115.A12$114.
B.B$114.ABA$115.A8$114.A.A$114.3A5$114.A.A$114.3A10$114.A.A$114.3A8$
114.A.A$114.3A7$114.A.A$114.3A9$114.A.A$114.3A9$114.B.B$114.ABA$115.A
5$114.A.A$114.3A9$114.A.A$114.3A5$114.B.B$114.ABA$115.A8$114.A.A$114.
3A5$114.B.B$114.ABA$115.A10$114.A.A$114.3A13$114.B.B$114.ABA$115.A5$
114.B.B$114.ABA$115.A4$114.B.B$114.ABA$115.A9$114.A.A$114.3A7$114.A.A
$114.3A5$114.B.B$114.ABA$115.A5$114.B.B$114.ABA$115.A6$114.B.B$114.AB
A$115.A6$114.A.A$114.3A5$114.A.A$114.3A17$114.B.B$114.ABA$115.A12$
114.B.B$114.ABA$115.A8$114.A.A$114.3A5$114.A.A$114.3A8$114.A.A$114.3A
5$114.A.A$114.3A21$114.A.A$114.3A9$114.A.A$114.3A10$114.B.B$114.ABA$
115.A5$114.A.A$114.3A5$114.A.A$114.3A23$114.B.B$114.ABA$115.A12$114.B
.B$114.ABA$115.A8$114.A.A$114.3A5$114.A.A$114.3A9$114.A.A$114.3A8$
114.A.A$114.3A7$114.A.A$114.3A9$114.A.A$114.3A7$114.A.A$114.3A6$114.A
.A$114.3A10$114.B.B$114.ABA$115.A3$131.3A$131.A.A4$114.A.A$114.3A14.
3A$131.A.A6$132.A$131.ABA$131.B.B12$132.A$131.ABA$131.B.B8$131.3A$
131.A.A5$132.A$131.ABA$131.B.B$114.A.A$114.3A8$131.3A$114.A.A14.A.A$
114.3A5$114.A.A$114.3A$131.3A$131.A.A10$131.3A$131.A.A4$132.A$131.ABA
$114.A.A14.B.B$114.3A7$131.3A$131.A.A5$114.A.A$114.3A4$131.3A$131.A.A
3$114.B.B$114.ABA$115.A4$114.B.B$114.ABA$115.A2$131.3A$131.A.A9$131.
3A$131.A.A$114.B.B$114.ABA$115.A4$131.3A$131.A.A2$114.B.B$114.ABA$
115.A4$131.3A$131.A.A$114.B.B$114.ABA$115.A7$131.3A$114.B.B14.A.A$
114.ABA$115.A3$132.A$131.ABA$131.B.B$114.A.A$114.3A4$131.3A$114.B.B
14.A.A$114.ABA$115.A7$131.3A$131.A.A7$131.3A$131.A.A8$131.3A$131.A.A
14$131.3A$131.A.A5$132.A$131.ABA$131.B.B9$131.3A$131.A.A9$131.3A$131.
A.A2$114.B.B$114.ABA$115.A8$114.B.B$114.ABA$115.A15.3A$131.A.A3$114.B
.B$114.ABA$115.A9$131.3A$114.A.A14.A.A$114.3A13$131.3A$131.A.A5$131.
3A$131.A.A3$114.B.B$114.ABA$115.A3$132.A$131.ABA$131.B.B7$114.B.B$
114.ABA$115.A3$132.A$131.ABA$131.B.B3$114.A.A$114.3A5$114.A.A$114.3A
12$114.A.A$114.3A14.3A$131.A.A5$131.3A$131.A.A$114.A.A$114.3A3$132.A$
131.ABA$131.B.B10$131.3A$131.A.A5$114.A.A$114.3A3$131.3A$131.A.A5$
114.A.A$114.3A10$114.A.A$114.3A4$131.3A$131.A.A$114.A.A$114.3A3$131.
3A$131.A.A8$114.B.B14.3A$114.ABA14.A.A$115.A4$131.3A$131.A.A3$114.A.A
$114.3A4$132.A$131.ABA$131.B.B6$114.A.A$114.3A5$132.A$131.ABA$131.B.B
2$114.A.A$114.3A5$114.A.A$114.3A8$131.3A$131.A.A2$114.B.B$114.ABA$
115.A$131.3A$131.A.A3$114.B.B$114.ABA$115.A$132.A$131.ABA$131.B.B$
114.B.B$114.ABA$115.A3$132.A$131.ABA$131.B.B4$114.A.A$99.A.A12.3A6.2A
4.BA2.A.A$100.A13.A.A7.A5.BA2.A$99.A.A12.A.A6.2A4.BA2.A.A$108.A6.A$
106.2A6.A.A$106.2A2$131.B.B$131.ABA$132.A6$131.B.B$131.ABA$115.2A15.A
$115.2A31.2A$148.2A$120.AB$119.AB$120.AB9.BA$131.3AB$131.A2.A$132.B.A
$132.3A72$98.2A$98.A$98.AB!

[qqd]

Construct an LWSS Psuedo-Heisenburp using this pattern found by Guam:

This reaction can be used to construct stable LWSS pseudo-heisenburp device.

Code: Select all

x = 39, y = 11
10boo7boo$10boo7boo$$obbo$4bo10boo16boo$o3bo9bobbo14bobbo$b4o10boo16b
oo3$28boo7boo$28boo7boo!

Half of this reaction with Pi:

Code: Select all

x = 30, y = 49
10boo7boo$10boo7boo$$obbo$4bo10boo$o3bo9bobbo$b4o10boo4$oo$bo9bo$bobo
6bobo$bboo5bobbo$10boo19$28boo$28boo13$18boo$18boo!

Comparison with unperturbed LWSS in DoubleB3S23 to show the position and timing are not perturbed:

Code: Select all

x = 39, y = 35, rule = DoubleB3S23
10.2A7.2A$10.2A7.2A2$A2.A$4.A10.2A16.2A$A3.A9.A2.A14.A2.A$.4A10.2A16.
2A3$28.2A7.2A$28.2A7.2A5$B2.B$4.B$B3.B$.4B6$10.2A7.2A$10.2A7.2A2$C2.C
$4.C10.2A16.2A$C3.C9.A2.A14.A2.A$.4C10.2A16.2A3$28.2A7.2A$28.2A7.2A!

[B468S02357]

An elementary knightship where in one phase the pattern is only dots an amount apart

[b-engine]

Is it possible to make a "square geminioid" that shrinks the bounding box by delaying the destruction of constructors (which would function as reflector after construction and before destruction)?
It would somewhat look like this:

Code: Select all

x = 17, y = 20, rule = B3/S23
bo$o2$bo2$2o13b2o$2obobobobobobob2o2$15bo$2o$2obobobobobobob2o$15b2o$
bo$15b2o$2obobobobobobob2o$2o$15bo2$2obobobobo6bo$2o13bo!

[dvgrn]

Is it possible to make a "square geminioid" that shrinks the bounding box by delaying the destruction of constructors (which would function as reflector after construction and before destruction)?

Geminoids have generally had signal streams that travel diagonally (because they're made out of gliders). Your picture looks like an Orthogonoid, which is maybe a type of geminoid but I'm not entirely sure. I think orthogonal signal streams do work a lot better than diagonal ones, because we don't have the libraries yet to do 90-degree bends in an orthogonal construction arm.

I did some design work on a "square Orthogonoid" way back when. There seems to be some unavoidable complexity having to do with the large number of signal crossings at the edges. There could maybe be a good trick that I missed somewhere in there, though.

It's by no means an unsolvable amount of complexity. You could basically just compile a full standard recipe, and then start running it through the circuitry one bit at a time, trying bigger and bigger offsets and appending the first offset that worked. But I was never motivated enough to actually write the script to compile one of these things.

[b-engine]

Your picture looks like an Orthogonoid, which is maybe a type of geminoid but I'm not entirely sure.

By geminoids, I mean geminoids of any displacement including diagonal and orthogonal or perhaps knightwise if we can make a Sir Robin splitter.

[dvgrn]

By geminoids, I mean geminoids of any displacement including diagonal and orthogonal or perhaps knightwise if we can make a Sir Robin splitter.

I mean, a Geminoid can perfectly well move knightwise without being made using signal streams that move knightwise. By any reasonable definition the original Geminoid was the Gemini spaceship, which moves knightwise.

I mean, the original original moved ibiswise, but it was really trivial to adjust it to move camelwise and knightwise.

[Entity Valkyrie 2]

Use chucklebait as an actual bait object. (Doesn't need to be elementary)

Cursed highway robber:

Code: Select all

x = 465, y = 522, rule = B3/S23
238b2o$237bobo$231b2o4bo$229bo2bo2b2ob4o$229b2obobobobo2bo4b2o$232bobo
bobo8bo$232bobob2o7bo$233bo11b5o$249bo$243b4o$237b2o4bo2bo$237b2o$250b
2o$245b2obo2bo$241bo3b2ob2o$240bobo$241bo3$234b2o$235bo$232b3o$232bo$
199b2ob2o$173b2o25bobo$166b2o5b2o20b2obo5bob2o$166b2o26bobob2o3b2obobo
$193bo6bobo6bo$193b7o3b7o$168b2o$168b2o25b3o7b3o$162b2o30bo2bo3bo3bo2b
o$162b2o30b2o4bobo4b2o$200bobo$201bo4$193b2o$193b2o4$131bo45b2ob2o$
129b3o27bo16bobobo2bo5b2o$128bo30b3o15bo2bob2o5bo5b2o5b2o$97b2o29b2o
32bo17bo9b3obobo4bo2bo$90b2o5b2o62b2o16b2o11bobo6bobo3b2o$90b2o64bo19b
obo2b2o10b2o7bo4bobob2o$156b3o17b2o2bo2bo14b2o9bobo$159bo21b2o16bo8b2o
2bo$92b2o64b2o36b3o11b2o$58b2o32b2o102bo11b2o$57bobo26b2o121bo$51b2o4b
o28b2o120bo$49bo2bo2b2ob4o146b2o$49b2obobobobo2bo$52bobobobo96b2o$52bo
bob2o97b2o17b2o$53bo120b2o2$66b2o111bobo$57b2o7bo108b2o2b2obo$57b2o5bo
bo108bo6bo4b2o$64b2o96b2o12b6ob2o2bo2bo$163bo14bo2bobobobob2o$83bo29b
2o45b3o18bobobobo$83b3o27bo5b2o39bo21b2obobo$86bo27b3obobo65bo$85b2o
29bobo7b2o$117b2o7b2o44b2o$54b2o117bo7b2o$29bobo19bo3bo21bo95bobo5b2o$
28bob2o19b4o20b3o35b2o59b2o$28bo45bo39bo$24bob2ob3o19b2o21b2o38bobo$
24b2obobo2bo14b2o2bobo6b2o53b2o$31b2o14bobobo2bo4bo2bo$49bobob2o4b2obo
55b2o51bo$48b2obo8bob2o53bo2bo48b3o$o18bo13bo17bob2o5bo3bo53bobo47bo
15b2o$3o7b2o5b3o12bobo16bobo2bob2ob4o54bo11b2o35b2o14bo$3bo6b2o4bo14bo
2bo11b2o4bo2b2obo2bo69b2o52b3o$2b2o12b2o14b2o11bo2bo11bo2b2o123bo$46b
2o4bo8b2o2bo119b2obo$29b2o20bobo2bo6b2o120bo2b2o$15b2o11bobo20bob4o6bo
27bo3b2o89b2o2bo12b2o$10b2o3b2o11bo19b2obo9bobo3b2o21bobo2b2o85b2o4b3o
12b2o$10b2o15b2o4b2o14bobob2o6b2o3bobo16b2o2bo2bo65b2o22bo2bobo$34bo
12bobobo2bo11bo17bobo3b2o12b2o51bobo5b2o17b2ob2o$31b3o6b2o5b2o2bobo11b
2o7bo9bo20bo7b2o42bo7b2o31bo161b2o$31bo8b2o9b2o20bobo7b2o17b3o9bo41b2o
39bobo160bobo$29bobo42b2o15b2o9bo8b3o83bobo6b2o154bo4b2o$20b2o7b2o60b
2o7bobo8bo58bo15b2o10bo5bo2bo150b4ob2o2bo2bo$20bo28bo49bobo40bo23b2obo
bo14b2o15bob2o151bo2bobobobob2o$18bobo27bobo40b4o4bo40b3o22bobobobo32b
o2b3o151bobobobo$18b2o28bobo39bo3bo2b2ob4o35bo22bo2bobobobob2o30b2o3bo
151b2obobo$47b2ob2o39b2obobobobo2bo35b2o21b4ob2o2bo2bo9b2o22b2o156bo$
51bo40bobobobobo65bo4b2o11bo2bob2o14b2obo$47b4o40bo2bobob2o64bobo19b2o
bobo13bo2bo143b2o$46bo44b2o2bo51b2o15b2o21bo2b2o14b2o145bo7b2o$46bobo
99bo36bobo165bobo5b2o$36b2o9b2o59b2o38bob2o33b2o15b2o150b2o$36b2o61b2o
7bo31b2o4b3o2bo50bo$50b2o47b2o5bobo31b2o3bo3b2o28bo23b3o$50bobo53b2o
37b4o29bobo24bo$52bo78b2o15bo27b3obo$52b2o76bobo12b3o27bo4bob2o$130bo
13bo30bobobobobo$39b2o88b2o14b5o20b2o4b2obobo68b2o11bo100b2o$40bo108bo
21bo8bobo67b2o10bobo99bo$38bo108bo23bobo7bo80bobo2b2o3bo92b3o$38b2o56b
2o49b2o23b2o22bo64b2ob2o2bo2bobo93bo$71bobo19bo3bo97bobo67bobo3bobo$
70bob2o19b4o98bo2bo62b2obo2b4obo3bo9bo$70bo123b2ob2o62b2obobo3bo5b3o5b
3o29bo$66bob2ob3o19b2o97bo4bo67bobo3bo7bo3bo14b2o16b3o$66b2obobo2bo14b
2o2bobo21bo40bo23b2ob2o5b4o2bo67bobo3bo5b2o3b2o14bo19bo$73b2o14bobobo
2bo20b3o38b3o21b2ob2o9b2o69bo3b2o24bo20b2o11b2o25b2o$91bobob2o23bo40bo
32b2o101b2o32b2o24bobo$90b2obo25b2o39b2o33bo161bo$42bo18bo13bo17bob2o
97bo161b2o$42b3o7b2o5b3o12bobo16bobo2bo96b3o60b2o92b2o$45bo6b2o4bo14bo
2bo11b2o4bo2b2o53b2o43bo60b2o92bobo$44b2o12b2o14b2o11bo2bo61bo90b2o
109bo$88b2o4bo2b2o50b2obo89bo2bo54b2o51bo3bo$71b2o20bobo2bo50bo2b3o4b
2o80bob2o55b2o52b4o$57b2o11bobo20bob2o32b2o19b2o3bo3b2o28b2o50bo100b2o
$52b2o3b2o11bo19b2obo28b2o5bobo20b4o28b2obo2bo49b2o99bobo12b2o$52b2o
15b2o4b2o14bobob2o25b2o7bo20bo15b2o3b2o8bobob3o65b2o84bo14b2o$76bo12bo
bobo2bo34b2o20b3o12bobobobo5bo2bobo69bo84b2o20b2o$73b3o6b2o5b2o2bobo
60bo13bobo7b4ob3o68b3o103bobo$73bo8b2o9b2o23bo32b5o14bo2bo10bo3bo69bo
10b2o93bo4b2o$71bobo43bobob2o28bo19bobo8bobo2b2o79bobo11b2o6bo2bobo64b
4ob2o2bo2bo$62b2o7b2o44bobobobo29bo18bo9b2o84bo13b2o6b4ob3o34b2o26bo2b
obobobob2o$62bo28bo22b2obobobobo2bo25b2o113b2o29bo33bobo28bobobobo$60b
obo27bobo21bo2bo2b2ob4o163b2o5b2o35bo29b2obobo$60b2o28bobo23b2o4bo168b
o42b2o32bo$89b2ob2o28bobo164bo$93bo29b2o62b2o100b2o63b2o$89b4o94b2o97b
2obo65bo7b2o$88bo122b2o74bobo65bobo5b2o$88bobo118b3o74bo2b3o4b2o58b2o
25bo$78b2o9b2o50b2o65bo4bo2bo30bo39b2o3bo3b2o83b3o36b2obo$78b2o60bobo
24b2o40b3ob4o30b3o39b4o87bo38bob2obo3b2o$92b2o40b2o4bo25bobo42bo38bo
14bo23bo15b2o73b2o36bo5bo3bo$92bobo37bo2bo2b2ob4o21bo45b3o3bo30b2o12b
3o24b3o12bobo111b3obob2obo$94bo37b2obobobobo2bo20b2o7b2o38bo2bobo42bo
30bo13bo83b2o28bobobobo$94b2o39bobobobo32b2o32b2o8bo43b2o24b5o14b2o79b
2o2bo30bo$135bobob2o66bobo78bo77b2o21bobo30b2o$81b2o53bo45b2obo21bo82b
o75bo22bob2o$82bo99b2ob3o18b2o53b2o26b2o76b3o11b2o4b3o3bo39b2o$80bo68b
2o37bo53b2o17b2o106bo11b2o3bo3b3o40bobo$80b2o58b2o7bo32b2ob3o54b2o142b
4o2bobo40bo2b2o$140b2o5bobo31bo2b2o186b2o15bo3bobo38b2obobo$147b2o31bo
bo188bobo12b3o6bo4b2o21b2o12bo$162bo16bobob2obo5b2o177bo13bo5b4ob2o2bo
2bo19b2o9b4o$162b3o15bo2bob2o5bo177b2o14b6o2bobobobob2o30bo3b2o$165bo
17bo9b3o8b2o188bobobobo12b2o8b2o10b3o2bo$152b2o10b2o16b2o11bo9bo39b2o
141b2o5b2obobo12bo2bo6b2o12bob2o$152bo26bobo2b2o19bobo17b2o19bo141b2o
9bo14b2obo19bo$150bobo26b2o2bo2bo19b2o17bobo15b3o165b3o2bo19b2o$137b2o
11b2o32b2o41bo15bo141b2o23bo3b2o$112bobo19bo3bo53b2o33b2o19b2o136bo7b
2o15b2o$111bob2o19b4o55bo26bo28bo136bobo5b2o16bob2o$111bo81bobo24b3o
23b3o138b2o23bo2bo$107bob2ob3o19b2o5bo52b2o27bo22bo166b2o$107b2obobo2b
o14b2o2bobo3bobo79b2o85b2o$114b2o14bobobo2bobobo55b2o109bobo21bo84b2o$
132bobob2obo56bo2bo16b2o84b2o4bo21b3o85bo$131b2obo4bo57bobo16bobo45b2o
34bo2bo2b2ob4o16bo85b3o$83bo18bo13bo17bob3o59bo19bo45bobo33b2obobobobo
2bo16b2o84bo$83b3o7b2o5b3o12bobo16bobo81b2o46bo36bobobobo5b2o80b2o$86b
o6b2o4bo14bo2bo11b2o4bo74b2o54b2o35bobob2o7bo80bo$85b2o12b2o14b2o11bo
2bo8b2o68bobo34b2o9b2o8bo35bo10bo82b3o$129b2o4bo4b2o70bo33bobo2b2o5b2o
6b3o46b2o83bo$112b2o20bobo33bo3b2o36b2o31bo2bobobo12bo51bo$98b2o11bobo
20bob3o30bobo2b2o69b2obobo14b2o4b2o35b2o7bo108bo$93b2o3b2o11bo19b2obo
4bo24b2o2bo2bo76bob2o19bo36b2o5bobob2o103b3o$93b2o15b2o4b2o14bobob2obo
23bobo3b2o12b2o60b2obo20bobo43b2obobo5b2o13bo81bo$117bo12bobobo2bob2o
17b2o3bo20bo7b2o49bo2bobo20b2o47bo7b2o13b3o79b2o$114b3o6b2o5b2o2bobo
21bobob2o17b3o9bo49b2o2bo4b2o64bo25bo$114bo8b2o9b2o24bobo7b2o9bo8b3o
58bo2bo11b2o51b2o13b2o7b2o$112bobo31b2o12bobo7b2o17bobo51b2o2bo4b2o11b
o2bo51bo10bo2bo96b2o$103b2o7b2o32b2o13bo21b2o4bo3bo49bo2bobo16bobo51bo
7b2obobobo97bo$103bo28bo48bo2bo2b2ob4o51b2obo17bo52b2o5bobobobo2b2o95b
ob2o$101bobo27bobo47b2obobobobo3b2o52bob2o53b2o16bo2bobobob2obo88b2o4b
3o2bo$101b2o28bobo50bobobobo2bo2bo48b2obobo29bobo19bo3bo16b4ob2o2bo2bo
88b2o3bo3b2o$130b2ob2o49bobob2o4b2o29bo19bo2bobobo14b2o5b2o3bob2o19b4o
21bo4bo2b3o4b2o85b4o$134bo50bo37b3o20bobo2b2o14bo2bobo2bo3bo45bobo5b2o
3bo3b2o71b2o15bo$130b4o88bo24b2o19b3ob2obob2ob3o19b2o21b2o8b4o75bobo
12b3o$129bo68b2o22b2o47bo3bo2bobo2bo14b2o2bobo30bo15b2o54bo6bo13bo$
129bobo57b2o7bo69b2obo3b2o5b2o14bobobo2bo30b3o12bobo53b3o3b2o14b5o$
119b2o9b2o57b2o5bobo69bobo29bobob2o33bo13bo56bo22bo$119b2o75b2o32b2o
67b2obo31b5o14b2o54b2o20bo11b2o$133b2o96bo52bo17bob2o28bo24bo71b2o11bo
$133bobo95bob2o48bobo16bobo2bo28bo20b3o83bo$135bo87b2o4b3o2bo47bo2bo
11b2o4bo2b2o27b2o19bo44b2o40b2o$135b2o86b2o3bo3b2o30b2o17b2o11bo2bo56b
2o43bo43bo12b2o$228b4o31bobo31b2o4bo2b2o90b2obo41b3o12b2o$122b2o90b2o
15bo25b2o4bo16b2o20bobo2bo90bo2b3o4b2o32bo$123bo62b2o25bobo12b3o24bo2b
o2b2ob4o11bobo20bob2o93b2o3bo3b2o32b2o$121bo39bobo19bo3bo25bo13bo27b2o
bobobobo2bo11bo19b2obo98b4o48bo$121b2o37bob2o19b4o25b2o14b5o25bobobobo
13b2o4b2o14bobob2o95bo15b2o33bobo7b2o$160bo71bo25bobob2o21bo12bobobo2b
o96b3o12bobo32bobo6bo2bo$156bob2ob3o19b2o21bo23bo28bo22b3o6b2o5b2o2bob
o41b2o57bo13bo6bo14b2o10bo5bo2b2o$156b2obobo2bo14b2o2bobo20b3o21b2o50b
o8b2o9b2o41bobo5b2o45b5o14b2o3b3o14b2o15bob2o$163b2o14bobobo2bo22bo62b
2o9b2o60bo7b2o44bo2bo20bo35bo2b2o$181bobob2o21b2o53b2o7bo11bo59b2o47b
2o4bo23b2o35b2o2bo$180b2obo79b2o5bobo11bobo104bo2bo2b2ob5o34b2o22b2o$
132bo18bo13bo17bob2o83b2o13b2o71bo32b2obobobobo2bo2bo32bo2bob2o14b2obo
$132b3o7b2o5b3o12bobo16bobo2bo117bo47b2obobo34bobobobo4b2o24b2o8b2obob
o13bo2bo$135bo6b2o4bo14bo2bo11b2o4bo2b2o53bo54b2o5b3o46bobobobo34bobob
2o32bo9bo2b2o14b2o$134b2o12b2o14b2o11bo2bo61b3o53bo4bo46bo2bobobobob2o
32bo36bob2o4bobo$178b2o4bo2b2o56bo52bobo3bo45b4ob2o2bo2bo61b2o4b3o2bo
4b2o15b2o$161b2o20bobo2bo29b2o24b2o53bobo3bob2o45bo4b2o47b2o14b2o3bo3b
2o22bo$147b2o11bobo20bob2o24b2o5bobo60bo3b2o13bo3b2obo44bobo44b2o7bo
20b4o25b3o$142b2o3b2o11bo19b2obo27b2o7bo39b2o18bobo2bo21bo3b2o39b2o45b
2o5bobo6b2o15bo27bo$142b2o15b2o4b2o14bobob2o33b2o14b2o23bo18bobo4bo19b
2o2bo94b2o6bobo12b3o$166bo12bobobo2bo49bo21b3o20bob5o16bo4bobo102bo13b
o$163b3o6b2o5b2o2bobo21bo25b2obo21bo24bo20b5obo102b2o14b5o$163bo8b2o9b
2o21bobob2o21bo2b3o4b2o37bo3b2o20bo99bo24bo$161bobo42bobobobo21b2o3bo
3b2o36bo3bobo16b2o3bo15b2o81b3o20bo$152b2o7b2o40b2obobobobo2bo20b4o41b
2o3bo17bobo3bo14bo85bo19b2o$152bo28bo21bo2bo2b2ob4o20bo15b2o51bo3b2o
12bobo84b2o$150bobo27bobo22b2o4bo25b3o12bobo64b2o2b2o39b2o30b2o$150b2o
28bobo28bobo26bo13bo64b2o43bo32bo$179b2ob2o28b2o21b5o14b2o11b2o97bo27b
3o$183bo51bo31bobo76b2o14b5o27bo$179b4o54bo31bo77bo13bo$178bo57b2o31b
2o76bobo12b3o$178bobo92b2o73b2o15bo54b2o$168b2o9b2o91bobo87b4o47b2o5bo
bo$168b2o98bo3bo84b2o3bo3b2o45b2o7bo$182b2o83bobo3bo17b2o3bo60b2o4b3o
2bo53b2o$182bobo82bob4o18b2o2bobo67bob2o$184bo83bo14b2o10bo2bo2b2o62bo
43bo$184b2o83b4o10bobo10b2o3bobo21b2o37b2o42bobob2o$273bo11bo17bo3b2o
16bobo80bobobobo$171b2o98b3o11b2o16b2obobo18bo77b2obobobobo2bo$172bo
97bo24b2o7bobo20b2o4b2o21b2o47bo2bo2b2ob4o$170bo99b2o23b2o7bobo4b2o21b
o21bo50b2o4bo$170b2o133bo4bobo19bo24b3o53bobo$310bo21b5o14b2o6bo54b2o$
278b2o29b2o7b2o17bo13bo$279bo38b2o14b3o12bobo57b2o$279bob2o50bo15b2o
58b2o$271b2o4b3o2bo50b4o$271b2o3bo3b2o49b2o3bo3b2o11bo$276b4o50bo2b3o
4b2o11b3o45bo$262b2o15bo51bobo22bo43bobo$261bobo12b3o50bobobo21b2o44bo
$261bo13bo52bob2ob2o$182bo77b2o14b5o47bo$182b3o95bo45bobo77b2o$185bo
92bo47b2o13b2o63b2o$184b2o15b2o75b2o62bo$200bobo136b3o57b2o$180b2o14b
2o2bo138bo25b2o31bobo$179bo2bo13bobob2o106bo49b2o5bobo30bo$179bob2o14b
2obo2bo84b2o18b3o47b2o7bo29b2o13b2o$178b2o22b2o79b2o2bobo21bo55b2o43bo
$177bo3b2o100bo3bo4bo17b2o93b2o6b3o$178b3o2bo100b3ob5o12bo48bo50b2o8bo
$181b2obo15b2o84bobo16b3o45bobob2o75bo$180bo2bo5bo10b2o84bobob3o15bo
44bobobobo74b3o$180b2o6bobo96b2obo2bo13b2o41b2obobobobo2bo74bo$188bobo
101b2o56bo2bo2b2ob4o73bobo$189bo162b2o4bo11b2o64bobo$199b2o157bobo9b2o
65bo$200bo158b2o$183b2o12b3o$183b2o12bo106b2o$198b2o104b2o17b2o48b2o$
199bo70b2o51b2o48b2o77b2o$198bo72bo3b2o175b2o$198b2o68b3o3bobo$268bo2b
4obobo45b2o$271bo5b2o45bo$272bo38b2o12b3o104b2o$271b2o35bo3bo14bo103bo
bo$308b4o119bo$391b2o37b2o7b2o$308b2o81b2o46b2o$308b2o$287b2ob2o64b2o
89b2obo$271b2o15bobo64bobo89b2ob3o$266b2o2bobo10b2obo5bob2o21bo37bo97b
o$266bo3bo4bo6bobob2o3b2obobo19bobo35b2o91b2ob3o$267b3ob5o5bo6bobo6bo
19bo128bo2b2o$269bobo9b7o3b7o87b2obo56bobo$269bobob3o109b2ob3o53bobob
2obo$270b2obo2bo6b3o7b3o95bo35b2o16bo2bob2o$275b2o5bo2bo3bo3bo2bo16b2o
70b2ob3o37bo19bo$282b2o4bobo4b2o16b2o14b2ob2o46b2o4bobo39bobo16b2o$
288bobo27b2o10bobo48bo4bobo40b2o13bobo2b2o$289bo28bobo4b2obo5bob2o43bo
bo3bo56b2o2bo2bo$320bo3bobob2o3b2obobo25b2o16b2o65b2o$305b2o13b2obo6bo
bo6bo25bo7b2o$306bo14bob7o3b6o23b3o8b2o$253b2o26b2o20b3o6b2o7bo17b3o
20bo4b2o34b2o$254bo3b2o21b2o20bo8b2o6b2o3b3o7b3o3bo25bo34bobo$251b3o3b
obo64bo2bo3bo3bo2b3o27bo27b2o4bo$251bo2b4obobo62b2o4bobo4bo17bo11b2o
25bo2bo2b2ob4o$254bo5b2o68bobo5bo16b3o11b2o23b2obobobobo2bo$255bo75bo
4bobo19bo8b2o2bo25bobobobo$254b2o21b2o47b2o7bobo19b2o9bobo26bobob2o$
277bo5b2o5b2o34bo9bo15b2o7bo4bobob2o26bo31b2o$278b3obobo4bo2bo31bobo4b
o19bobo6bobo3b2o62b2o14b2o$280bobo6bobo3b2o27b2o4bobo16b3obobo4bo2bo
47b2o9b2o22bo$224bo56b2o7bo4bobob2o29bobo15bo5b2o5b2o39b2o7bo11bo23b3o
$223bobo60b2o9bobo31bo16b2o52b2o5bobo11bobo23bo$223bob3o59bo8b2o2bo
108b2o13b2o$220b2obo4bo55b3o11b2o$220bobobobobo55bo11b2o$222bobob2o69b
o26b2o$221bobo72bo27b2o26b2o89bo$222bo73b2o54b2o87b3o$255b2o183bo$255b
o143b2o39b2o$256b3o119bo21bo$251bo6bo101bo17b3o16b3o$250bobo106bobo19b
o15bo23bo$251bo101b2o4bobo4b2o12b2o37b3o$235bo117bo2bo3bo3bo2bo50bo$
234bobo117b3o7b3o51b2o$234bobo104b2o102b2o$235bo5b2o98bobo8b7o3b7o53b
2o21bo$241b2o100bo8bo6bobo6bo52bo2bo18bobo$343b2o8bobob2o3b2obobo53b2o
bo18b2o$354b2obo5bob2o23b2o32b2o$359bobo21b2o5bobo28b2o3bo$358b2ob2o
20b2o7bo6b2o19bo2b3o3b2o$323b2o67b2o5bo19bob2o5bobo$323b2o71b2obo12b2o
6bo2bo4bo$379bo16bo2b3o10b2o8b2o3b2o$378bobob2o13b2o3bo$378bobobobo14b
4o9b2o$331bo43b2obobobobo2bo11bo12b2o31b2obo$330bobo42bo2bo2b2ob4o9bob
ob2o42bob2o$330bobo44b2o4bo13b2o2bo$331bo51bobo15bobo34b2o$384b2o16b2o
34b2o$281b2o$277b2o3bo83bo46b2o$277bo2bo4b2o77b3o46bo$278b4o3b2o3b2o
71bo45bobobobo$290bobob2obo65b2o27b2o14bob2obob3o$280b2o10bobob2o93bob
o14bo3bo5bo$279bobo10b2o91b2o4bo15b2o3bob2obo$279b2o90b2o10bo2bo2b2ob
4o17bob2o$372bo10b2obobobobo2bo$372bob2o10bobobobo$364b2o4b3o2bo10bobo
b2o$364b2o3bo3b2o12bo$342b2ob2o22b4o$287b2o54bobo9b2o15bo27b2o47bo$
286bo2bo48b2obo5bob2o3bobo12b3o19b2o7bo46b3o$287b2o31bo16bobob2o3b2obo
bo2bo13bo22b2o5bobo45bo$320b3o13bo6bobo6bobo14b5o24b2o46b2o$323bo5b2o
5b7o3b7ob2o17bo$276b2o44b2o4bob3o38bo36b2o$275bobo7bo6b2o34bo4bo4b3o7b
3o18b4o35b2o$275bo8bobo5b2o31b2obob3o4bo2bo3bo3bo2bo16bo4bo$274b2o4b2o
bobo39bo2bobo6b2o4bobo4b2o16b2o2b2o$279bobobobobo38b2o15bobo$279bo4bob
2o56bo43b2o61b2o$280b3obo79b2o23bo61bo$282bobo79bo21b3o60bobo$283bo77b
2obo21bo62b2o$336b2o23bo2b3o4b2o$317b2o17b2o24b2o3bo3b2o$315bo2bo45b4o
67b2o$315b2o47bo15b2o28b2o22bobo$324b2o39b3o12bobo26bo2bo21bo$324b2o
42bo13bo6bo20bobo20b2o$363b5o14b2o3b3o21bo$338b2o5b2o16bo22bo27b2o$
337bobo4bo2bo17bo20b2o7b2o17bo36b2obo$337bo6bobo3b2o12b2o30bo2b2o14b3o
33bob2o$335b3o7bo4bobob2o40bobobo16bo$334bo6b2o9bobo39b2o2bo45b2o$334b
2o6bo8b2o2bo39bob2o45b2o$339b3o11b2o40bobo$339bo11b2o34b2o4b3o2bo$352b
o34b2o3bo3b2o$351bo13b2ob2o22b4o$351b2o13bobo9b2o15bo$361b2obo5bob2o3b
obo12b3o5b2o$314bo28bo16bobob2o3b2obobo2bo13bo5bobobo29bo$314b3o26b3o
13bo6bobo6bobo14b6obo29b3o$317bo28bo5b2o5b7o3b7ob2o20bo28bo22bo$316b2o
27b2o4bob3o38b2o3b2o27b2o20bobo$351bo4bo4b3o7b3o20b2o54bobo$348b2obob
3o4bo2bo3bo3bo2bo74b2ob2o$348bo2bobo6b2o4bobo4b2o78bo$349b2o15bobo80b
4o$367bo35b2o43bo$403b2o43bobo$438b2o9b2o$438b2o$359b2o36b2o3b2o48b2o$
340b2o17b2o36b2o2bo2bo47bobo$336b2obobo59bobo50bo$336b2obo62bo51b2o$
339bo7b2o$339b2o6b2o92b2o$401b2o18b2o19bo$361b2o5b2o32bo18bobo16bo$
360bobo4bo2bo28b3o21bo16b2o$360bo6bobo3b2o24bo23b2o$358b3o7bo4bobob2o$
321b2o34bo6b2o9bobo$321b2o34b2o6bo8b2o2bo$362b3o11b2o$362bo11b2o$375bo
41b2o$374bo42bo$374b2o22b2o15bobo$398bobo14b2o$399bo$357bo$355b3o$354b
o14b2o$354b2o13bo$367bobo32b2o$363b2o2b2o34bo$363b2o35b3o27bo$400bo5bo
21b3o$405bobob2o16bo$403b3obobobo15b2o$362b2o4b2o32bo3bo2bob3o$362b2o
4b2o32b2o2bob2o4bo$407bo2b3obo20b2o$409bo2b2o22bo$408b2o26bob2o$428b2o
4b3o2bo$428b2o3bo3b2o$406b2ob2o22b4o$367b2o38bobo9b2o15bo$367bobo32b2o
bo5bob2o3bobo12b3o$369bo14bo16bobob2o3b2obobo2bo13bo$369b2o13b3o13bo6b
obo6bobo14b5o$387bo5b2o5b7o3b7ob2o17bo$386b2o4bob3o38bo$392bo4bo4b3o7b
3o20b2o$389b2obob3o4bo2bo3bo3bo2bo$389bo2bobo6b2o4bobo4b2o$390b2o15bob
o$408bo4$400b2o$381b2o17b2o$380bobo$380bo$379b2o7b2o$388b2o2$402b2o5b
2o$401bobo4bo2bo$401bo6bobo3b2o$399b3o7bo4bobob2o$398bo6b2o9bobo$398b
2o6bo8b2o2bo$403b3o11b2o$403bo11b2o$416bo$415bo$415b2o3$398bo$396b3o$
395bo14b2o$395b2o13bo$408bobo$404b2o2b2o$404b2o4$403b2o4b2o$403b2o4b2o
7$408b2o$408bobo$410bo$410b2o25$420b2o$419b2o$421bo!