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Quest-for-Tetris Challenges

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Quest-for-Tetris Challenges

Postby dvgrn » May 13th, 2017, 12:46 pm

On the code-golf section of Stack Exchange, for nearly the last four years now, there’s been an open code challenge: Build a working game of Tetris in Conway’s Game of Life. It seems to have taken people a while to decide that this was an insurmountable opportunity, but now there are -- maybe -- three or four sets of people working on a solution.

Player Controls in a Zero-Player Game
The part that interested me right away was one of the trivial details. Obviously you pretty much have to build some kind of programmable computer, and attach to a display that might look more or less like Brice Due’s metacells/movie pixels. But what about the game controls?

Life simulations aren't really very compatible with playing Tetris. Seems like it will be necessary to set up some kind of "control panel" area, where a user can make edits to the Life universe while the Tetris computer is running its program, and the effect of those edits will be to send messages to the computer saying "left", "right", "turn", or "drop".

A Little Problem of Scale with a Nice Solution
The problem is that if we’re zoomed out far enough to see the metapixel Tetris display, we’re out way too far to make precision edits to individual cells.

Luckily that’s easily solvable by a seldom-used feature of Golly, which should work reasonably well with a Tetris-computer pattern. Set up two tiled layers. One is zoomed in to the control panel, and the other displays the whole pattern.

This gets us into a series of fascinating/silly [delete whichever is inapplicable] design questions.

Let's assume that Golly is used to run the Tetris computer and play the game, and that Golly can run the computer at maybe a few frames per second (which may or may not turn out to be true in practice). If that all works, what will be the most user-friendly way to do on-the-fly editing in Golly to send messages to the computer?

It needs to be the simplest possible interaction with the Life universe, preferably something that can be done easily while the pattern is running at a suitably high step rate -- and preferably something where being one cell off on a click won't crash the computer.

A First Attempt
The challenge specifies that "Your program will receive input by manually changing the state of the automaton at a specific generation to represent an interrupt"... It seems clear that you wouldn’t want to have to try to draw a glider in the exact right place to tell the computer "Drop" or whatever.

Luckily there are various possible sensor mechanisms that require either adding just one cell in a specific location, or subtracting one cell from a stable object

Here's an example using a single-cell addition: to trigger the interrupt, you have to fill in the cell in the center of a ship to launch a Cordership.

To try it out, just run the script and then hit Enter to start the pattern running. Turn on the ship's central cell in the control panel (right half of the screen) and the Cordership seed in the upper left corner will be triggered. (Fill in the ship again and you can shoot down the Cordership, and maybe cause various explosions, but you won't be able to see that very well, and that's not the point here anyway.)

CordershipLauncher.py:
(Lua version available on request)
import golly as g

# if there's more than one existing layer, the layout won't work correctly
if g.numlayers() > 1:
    answer = g.getstring("All existing layers will be removed. OK?")
    if answer[:1].lower() == "n": g.exit()
oldswitch = g.setoption("switchlayers", 0) # don't allow user to switch layers
oldtile = g.setoption("tilelayers", 1)
while g.numlayers() > 1: g.dellayer()

def init():
    g.setrule("B3/S23")
    g.new("Sample One-Pixel Control Panel")
    g.putcells(g.parse("""121bo$121b3o$124bo$123b2o6bo$130bobo$131bo2$125b2o$118b2o5b2o$118b2o3$
135b2o$135b2o2$120b2o$119bobo$119bo$118b2o15$130b2o$129bobo$123b2o4bo$
121bo2bo2b2ob4o$121b2obobobobo2bo$124bobobobo$124bobob2o$125bo2$138b2o
$129b2o7bo$129b2o5bobo$136b2o2$108bo$81bo26b3o$81b3o27bo$84bo25b2o$83b
2o$126b2o$102b2o23bo$75b2o25bo21b3o$75bo23b2obo21bo$72b2obo23bo2b3o4b
2o$72bo2b3o4b2o16b2o3bo3b2o$73b2o3bo3b2o18b4o$75b4o23bo15b2o$75bo15b2o
10b3o12bobo$76b3o12bobo12bo13bo$79bo13bo7b5o14bobo$74b5o14b2o6bo17b2ob
3o$74bo28bo21bo$77b2o23b2o20bobo$77b2o45bobo$125bo$101b2o$101b2o3$110b
o29b2o$109bobo28b2o$110bo3$120b2o$106b2o11bobo77bo8b2o$106b2o11bo79b3o
6b2o$111b2o5b2o7b2o73bo$111bobo13b2o72b2o13b2o$113bo102bo$98b2o13b2o
20b2obo75bobo$99bo35b2ob3o37b2o34b2o$96b3o6b2o34bo36bo$96bo8b2o28b2ob
3o39bo26b2o$134bo2b2o21b2o14b5o26b2o$133bobo25bo13bo$132bobob2obo21bob
o12b3o$115b2o16bo2bob2o22b2o15bo33bo$116bo19bo39b4o32bobo$116bobo16b2o
34b2o3bo3b2o31bo$117b2o13bobo2b2o32b2o4b3o2bo$132b2o2bo2bo39bob2o$137b
2o40bo24b2o$178b2o24b2o2$111b2o$110bo2bo56b2o$111b2obo55bo$114bo56b3o$
114b2o49bob2o4bo$165b2obo2$118b2o15b2o26b5o$52bo65b2o15bobo3b2o20bo4bo
2b2o$52b3o82bo4bo23bo2bo2bo$55bo81b2o3bobo21b2obobo$54b2o87b2o18bo5bob
2o$162bobo4bo$162bo2bo2b2o$46b2o115b2o$46bo85b2o$43b2obo84bobo$43bo2b
3o4b2o74b3obobo$44b2o3bo3b2o73bo5b2o$46b4o78b2o$46bo15b2o88b2o$47b3o
12bobo87b2o$50bo13bo$45b5o14b2o$45bo$47bo$46b2o7$143bo$142bobo$54bo87b
obo$52b3o88bo$51bo$44bo6b2o67b2o$43bobo74bobo$44bo76b2o2$49b2o$49b2o5b
2o$56b2o3$39b2o$39b2o2$54b2o$54bobo$56bo$56b2o3$98b2o$98b2o3$107b2o$
106bobo$106b2o$110b2o$110bobo13b3o$112bo15bo$112b2o13bo2$105b2o$105b2o
2$8b2o8bo$8b2o6b3o$15bo20b2o$2o13b2o12b2o5b2o$bo27b2o$bobo$2b2o98b2o$
31b2o17b2o8b2o40bo$9b2o20b2o17bo9b2o41b3o$9b2o14b2o21bobo54bo$25b2o21b
2o38b2o$66b2o20bo$4bo61b2o18bobo$3bobo56b2o22b2o$4bo57b2o$71b2o$40b3o
28b2o$12b2o28bo$12b2o27bo25b2o11b2o$67b2o11b2o6b2o$88b2o3$76bo$75bobo$
76bo6b2o$26b2o55bo$25bo2bo55b3o$25bo2bo57bo$25bo2bo$25bo2bo$24bo$21bob
2o$20bo16bo$20bo3bo7bo3bo$21b4o6bo4bo3b2o$31bo2bo2bo3bo$28bo3b4o3bobo$
26b2obo4b2o3b2o29bo$26b2obo38bobo$21b2o2bo2bo40b2o$21b2o3b2o$26b2o11b
2o21b2o$27b2o9bobo21b2o21b2o$27b2o9bo17b2o27bo$27b2o8b2o17b2o25bobo$
83b2o2$58b2o8b2o$51b2o5b2o8b2o$51b2o2$85b2o$78b2o5b2o$78b2o2$73bo$72bo
bo$73bo6b2o$80bo$81b3o$83bo!"""))
    g.fit()
    g.setname("Sample Display")
    g.putcells(g.parse("""47b2o$47b2o$56b2o$56b2o3$59b2o$55b2o2b2o$55b2o4$47b2o$47b2o$58b2o$41bo
16bobo$40bobo11b2o3bobo$41b2o10bobo4bo$54bo$67b2o$41bo25bobo$40bobo25b
o$41b2o12$59b2o$59b2o3$34bo11bo$33bobo9bobo$34b2o9b2o3$34bo4b2o$33bobo
3bobo$34b2o4bo5$14bo4bo$13bobo2bobo$14b2o3b2o5$7b2o$2o5bobo$2o6bobo$9b
o9$22b2o8b2o$22bobo7b2o$24bo$24b2o!""",-113, -115))
    g.fit()
    g.clone()
    g.setname("Control Panel")
    g.setpos("121","137")
    g.setmag(5)

init()
g.setbase(8)
g.setstep(4)

Anyone see a better option, especially for getting four controls into a "control panel" area, close enough together that it’s easy to click the correct cell for each control?

Probably Remove Instead of Adding
There might be an argument for having the interrupt trigger be a removal rather than an addition, so that it’s not possible to accidentally toggle an ON cell OFF when you're trying to turn a cell ON.

That could certainly happen with this pattern. As it happens, you can click anywhere in the northwest half of the ship, and nothing will happen, the deleted cell just gets magically restored. But a click on the southeast half of the ship blows up the whole control panel.

Seems like a blinker or beehive would be a good control-panel object, since any subtraction kills the whole object cleanly. Set Golly’s drawing color to 0, and there would be no possibility of accidentally toggling a cell ON. So --

Challenge #1
Design a control-panel setup along the above lines, with as little likelihood as possible of accidental clicks blowing everything up. Ideally there will be four objects in view in the control-panel half of the display, and nothing else visible except maybe "L", "R", "T"=turn, "D"=drop labels, or something along those lines. An easy change to an object sends out a single glider, on a different lane for each control.

The step size can perfectly well be much slower than the above example. Given the ridiculously large number of ticks that are going to be needed for each Tetris-computer cycle, it seems like pretty much any 2^N-tick period could be used to query the control panel area and cleanly rebuild the four objects. But in the spirit of the original challenge, if multiple solutions are constructed, a smaller bounding box will beat a bigger bounding box.

Smaller Hashlife-friendly Metacells
-- I have a Quest for Tetris Challenge #2 in mind. Will post something in a few days or weeks, depending on if Challenge #1 catches anyone's interest.
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Re: Quest-for-Tetris Challenges

Postby simeks » May 13th, 2017, 1:17 pm

Two older posts about in-game control buttons are here and here
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Re: Quest-for-Tetris Challenges

Postby simsim314 » May 13th, 2017, 9:41 pm

For me as a GOL fan, I can't possibly accept "control panel" inside game of life. But I can imagine a kind of compiler that allows different algorithms written by people, to be stored into GOL initial state, and those algorithms can play tetris if you want - or some other game.

If you want to control GOL, you should be part of it - it's more correct to "copy" oneself into GOL and play from there, than to use artificial interrupts. But to play tetris you don't need the whole human brain, you can use simpler algorithms.

EDIT Probably there would be interrupts done by the algorithms themselves that made a new decision, so I could imagine a universal interface to tetris, which can accept an input gliders to make "operations" with its internal state. We can for starters code golly to generate those gliders at some point of time, using keyboard instead the algorithm sending those gliders. My major point is that this is "cheating". But yes I do accept the option of having a "black box" controlling a console, and this black box can be a human using golly, but it shouldn't.
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Re: Quest-for-Tetris Challenges

Postby Gamedziner » May 13th, 2017, 9:50 pm

Would metapixels work for allowing arbitrary additions into the (meta) Life universe?
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Re: Quest-for-Tetris Challenges

Postby simsim314 » May 13th, 2017, 11:22 pm

Tetris doesn't need a metacell - this is too complex construction.

Tetris needs:

1. Internal state definition.
- The static part where each each cell is not moving
- The moving part the falling unit
2. Nice display of internal state.
3. Time based falling unit event - fall down one step
4. A check that a unit is at the bottom row
5. A clearance from static cells of "filled lines"
6. Random generator of the new falling unit

The interrupts are coming to manipulate the moving part - given an input we can rotate and move it.

All in all this is basic computer with display. If we had a C compiler, this wouldn't be so hard to code.
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Re: Quest-for-Tetris Challenges

Postby dvgrn » May 16th, 2017, 5:57 pm

simsim314 wrote:Tetris doesn't need a metacell - this is too complex construction.

Oh, that's certainly true -- there are two separate layers of complexity in the current design that could be avoided (the metacells, and then the 11x11 tiles used for making simple logic circuits out of the metacells).

Still, there's a certain elegance to this general method of adding layers of abstraction to make a complicated problem progressively simpler. And it means that someone could come along later and design Hashlife-friendly replacements for the 11x11 logic tiles, and the computer's diameter will suddenly shrink by a factor of let's say 11*(2048/256) = 88, assuming the logic circuits can be packed into 256x256 tiles.

I had a similar reaction to the idea of turning "zero player" Conway's Life into a one-player game -- control panels just don't seem like they should be allowed, somehow. It's an interesting design problem, though...!

I thought my single ship-control turned out pretty well. (Did anybody try it out?) But I think it would need a higher step size to monitor and restore four separate controls, without anything else showing on that half of the screen.
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Re: Quest-for-Tetris Challenges

Postby simsim314 » May 16th, 2017, 11:57 pm

dvgrn wrote: control panels just don't seem like they should be allowed, somehow.


I changed my view on the topic: control panel have validity, if we can create initial state based on user actions during the "game" proccess. For example if we stop every 1024 generations, and shoot a glider at some lane as part of the game, then after the game ends, user actions can be ran as initial "tape" set in generation 0. It's just "user limitation" that needs to see the game "in action".

This kind of game could be regarded as a script to generate a tape in initial state. So although the "game" is not valid GOL entity, a script that helps to make valid GOL states (even by hand) should be considered a reasonable action inside GOL framework (as the result is valid GOL state).

For starters we can take Gemini arm, and use a keyboard with golly script to add "Push", "Pull" and "Shoot Even/Odd" operations. After the user has finished we generate a tape with his actions.

No one can say, this kind of game is "not valid", it's true that the game is not a valid GOL state, but as long as the activity generates a valid GOL state, this activity should be considered compliant with GOL rules.

You can view it as follows: you alter the initial tape every time, to get some result. We do such scripts all the time - for example my glider gun construction script, is building guns, and it runs the state back and forward several times, to help optimize initial state setup.

dvgrn wrote:I thought my single ship-control turned out pretty well. (Did anybody try it out?)


I couldn't run golly after running your script. It was only looking at the ship that's all.

But drawing and removing stuff during some generations, is not a "valid" GOL activity. I mean you always can stop golly and start to draw whatever, but this can't be considered a script to generate a valid initial "state" in GOL.
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Re: Quest-for-Tetris Challenges

Postby dvgrn » May 17th, 2017, 7:06 am

simsim314 wrote:
dvgrn wrote:I thought my single ship-control turned out pretty well. (Did anybody try it out?)

I couldn't run golly after running your script. It was only looking at the ship that's all.

While Golly is running, if you click in the center of the ship, you get a single-glider signal out, and the ship is restored on the next 2^12 step. Just realized that I made a bad assumption, though -- most people will have the base set to 8 instead of 2, which might slow things down quite a bit... Have now edited in a setbase() line to the script to correct that.

simsim314 wrote:But drawing and removing stuff during some generations, is not a "valid" GOL activity. I mean you always can stop golly and start to draw whatever, but this can't be considered a script to generate a valid initial "state" in GOL.

It's easy enough to add a splitter component, to send output gliders off to the southwest or somewhere. That would effectively record the user's moves, in a way that could be fed back in to replay a game.

But that's outside the scope of the current challenge, and really I'm not in any hurry to make this implicit game-recording capability into an explicit mechanism. I'm happy enough to just wire up a four-input control panel and leave it at that.
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Re: Quest-for-Tetris Challenges

Postby simsim314 » May 17th, 2017, 9:32 am

dvgrn wrote:I'm not in any hurry to make this implicit game-recording capability into an explicit mechanism.


This is even somewhat broader definition of GOL "validity" - if we have a game that can be "recorded" in a sense that we can setup initial state with gliders + circuitry so that user actions will be translated into initial state tape, this activity should be considered as "valid", in a sense that it can be reduced into a valid initial GOL state and run.

I still think that golly in script mode with keyboard interaction is the best UI for this sort of games.

Just out of curiosity - can someone make a survey on GOL human readability and display designs?
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Re: Quest-for-Tetris Challenges

Postby Ethanagor » May 18th, 2017, 8:04 pm

I have no idea if this is useful or not, but here is a base for a d-pad prototype. placing an on cell in either of the two marked off cells in each direction will result in a block on block a few cells away in that same direction. Again, I have no idea if a block on block can be turned into a usable signal.
x = 0, y = 0, rule = LifeHistory
9.C15.C$8.C.C13.C.C$8.2C15.2C6$.2C14.C14.2C$C.C13.C.C13.C.C$.C14.C.C
14.C$17.C2$17.C$16.C.C$16.CDC$9.2C3.3CD3C3.2C$8.C2.C.C.2D.2D.C.C2.C$
9.2C3.3CD3C3.2C$16.CDC$16.C.C$17.C2$17.C$.C14.C.C14.C$C.C13.C.C13.C.C
$.2C14.C14.2C6$8.2C15.2C$8.C.C13.C.C$9.C15.C!
"It's not easy having a good time. Even smiling makes my face ache." - Frank N. Furter
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Re: Quest-for-Tetris Challenges

Postby dvgrn » July 12th, 2017, 1:46 pm

Another Quest-for-Tetris challenge would be a new modern minimal metacell.

Metacells have really been climbing the ladder of complexity lately. From the original 500x500 p30 metacell, we went to the Deep Cell (two universes at once), the OTCA metapixel (p46, 18-bit rule table, huge area for displaying the metacell state), the stable megacell (P1, 512-bit rule table), and now Calcyman's 0E0P megacell (P1, self-constructing, 12288-bit rule table, still presumably in progress).

What if we try the other direction, though -- going back to a simpler design, with circuit mechanisms available today? Let’s make it Hashlife-friendly -- everything a power of two. How small and how fast can a B3/S23-emulating metacell be made?

The circuitry is surprisingly simple. We need

    1) eight one-bit memory storage units that can accept signals from neighboring metacells and hold them until they’re tested, plus one more to hold the state of the cell itself (though that could be some kind of switch mechanism instead). We have lots of good candidates for those.
    2) A mechanism to release a series of nine signals, up to eight of which will be absorbed in the memory units.
    3) A Hashlife-friendly timing gun -- basically just a p256 gun plus semi-Snarks.
    4) A mechanism that accepts between one and nine signals, and does a lookup in one of two nine-bit tables, either the “S” or the “B” table depending on current cell state, to see what the next state should be.
    4a) (Could save quite a bit of space by skipping the tables and hard-wiring B3/S23 instead...)
    5) A pixel area, so that changes to the metacell state are visible when a metapattern is zoomed way out. This is optional in the sense that the metacell still works fine without it, but then it’s just not as much fun to see it in operation.
    6) The rest is just simple wiring, routing the ON signal to the eight outputs plus the internal state switch and the pixel display.
For #1, it’s too bad that the honeybit reaction doesn’t work for MWSSes. Or it would be nice if we had a Herschel-to-LWSS that’s as compact as the Herschel-to-MWSS. Luckily the known glider-to-block is not much bulkier than a honeybit, though, and it’s just as good at holding a bit of memory to be tested by a passing MWSS. It would be good to find something similarly small for the other glider color, though.

The OTCA metapixel and the P1 megacell both have mechanisms for #4 that are a lot more complicated than they really need to be -- the metapixel because the tractor beam does double duty as a clock, and the megacell because it’s doing a much more difficult lookup to support non-totalistic rules.

If we’re really just counting neighbors, all we really need is a simple ladder mechanism, along the lines of the one in the old prototype universal constructor. Each signal pushes some kind of marker one more rung up the ladder. Then a different kind of signal reads the marker’s location and resets it to the zero position.

What's the most compact known way to build something like that these days, using P1 circuitry?

Unnecessary Tangent
Another variant of this project that’s been on my long-standing To Maybe Do list, is a smallest possible Hashlife-friendly metacell where the OFF state is stable. This is a bit more involved and likely to be a good bit larger, because it needs room for delay mechanisms for each of the eight inputs.

Also of course a stable-OFF-state metacell can’t be made to support B0 rules… but really I’ve always been perfectly happy with B3/S23 metacells that simulate B3/S23 and nothing else, anyway. If you want a proper B36/S23 metacell, in my arbitrary opinion, you have to build it in HighLife…!
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Re: Quest-for-Tetris Challenges

Postby gmc_nxtman » July 12th, 2017, 2:01 pm

Small note: if a toggle mechanism is used for the internal state, then it might be better to count B/D transitions instead of B/S. But it's probably better to use an RS-nor latch anyway..
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Re: Quest-for-Tetris Challenges

Postby simsim314 » July 13th, 2017, 6:18 am

How about starting from some simpler games than tetris? Is there any sort of game in CGOL?
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Re: Quest-for-Tetris Challenges

Postby dvgrn » July 13th, 2017, 9:15 am

simsim314 wrote:How about starting from some simpler games than tetris? Is there any sort of game in CGOL?

If the QfT folks get done with their metacell-tile computer, then it might become possible to program whatever game you might want, simpler or more complicated. That seems like the easy part, in a sense -- but Tetris was the original code-golfing challenge, so that's what people are working on at the moment. Doesn't really matter if it turns out not to be playable in practice, any more than Calcyman's 0E0P mega-metacell will be a failure if Golly can't run it very fast.

gmc_nxtman wrote:Small note: if a toggle mechanism is used for the internal state, then it might be better to count B/D transitions instead of B/S. But it's probably better to use an RS-nor latch anyway..

Can you give a little more detail on how alternative mechanisms might work? I was thinking that there wasn't any need for even a toggle mechanism. Each of the nine one-bit storage devices in the unit cell would be read destructively on every cycle. They would be replaced with a new bit, or not, based on the results of the appropriate neighbor count. There would never be a case where a bit was already ON and a signal would come in to try to turn it ON again.

That means we have all kinds of "factory" mechanisms we can use to drop a piece of junk in the way of an MWSS. Or we could convert the nine-MWSS stream to gliders temporarily, at the corners let's say, and drop something in the way of the gliders instead.

The glider-to-block is good for one color, as I mentioned -- not sure what might work for the other color of input glider:

x = 130, y = 89, rule = LifeHistory
.5A$A4.A$5.A$A3.A$2.A103.16B$118.5B$118.5B$109.2A6.6B$110.A5.BA7B.2A$
110.A.AB2.ABA7BA.A$111.2AB.2B2A6B3.A$113.12B3.2A$113.12B$113.12B$114.
9B.B2A$113.10B.BA.A$112.4B.6B4.A$111.4B2.5B5.2A$110.4B4.3B$109.4B6.2B
$108.4B6.4B$109.2B6.B2AB$109.B8.2A10$96.2A$95.A.A$97.A16$.5A$A4.A$5.A
$A3.A$2.A84.4B33.3D$86.5B32.D3.D$86.5B31.D5.D$86.6B6.2A28.D$81.2A.7BA
B5.A29.D$80.A.A7BABA2.BA.A28.D$80.A3.6B2A2B.B2A26.3D$79.2A3.12B28.2D$
84.12B28.2D$84.12B$82.2AB.9B29.2D$81.A.AB.10B28.2D$81.A4.6B.4B$80.2A
5.5B2.4B$88.3B$88.2B6.4B$87.4B6.4B10.2A$88.B2AB6.4B9.A$89.2A8.4B10.A$
93.2A5.4B5.5A$94.A5.4B4.A$94.A.AB.7B2.B3A$95.2AB.7B3.2B.A$97.12B4A$
97.7B2A3BAB2.2A$97.7B2A2B.B3A2.A$97.10B3.B.A.2A$96.8B8.A$95.2A7B7.2A$
94.ABAB2.3B$93.3BA3.5B$93.3B7.2A$93.2B8.A$93.B10.3A$106.A!

EDIT: Maybe the B/D transition suggestion is more for a metacell with a stable OFF state? I haven't really thought much about how that might change the design, except that a good ETM (exact-timing merge circuit) will be needed. There's no hope of supporting B0 rules, of course, any more than a 0E0P replicator-metacell can -- but a chain of eight ETMs can produce an output signal at the exact same time no matter if all eight neighbor cells send an ON signal, or if only one or a few of them do.

Anyway, maybe it would be better to stick to the simpler Smallest Possible Modern Metacell for now -- sorry I mentioned the stable-OFF-state one.

The "ladder" device is a little more complicated -- when an MWSS hits the ladder-rung object, we need to get a clean signal out to push the object up to the next rung, and also a sideways output signal that can be suppressed until we want it to escape. Something like this:

x = 1896, y = 94, rule = LifeHistory
1311.2A110.2A110.2A110.2A110.2A$1311.A.A109.A.A109.A.A109.A.A109.A.A$
1313.A4.2A105.A4.2A105.A4.2A105.A4.2A105.A4.2A$1309.4A.2A2.A2.A99.4A.
2A2.A2.A99.4A.2A2.A2.A99.4A.2A2.A2.A99.4A.2A2.A2.A$1309.A2.A.A.A.A.2A
99.A2.A.A.A.A.2A99.A2.A.A.A.A.2A99.A2.A.A.A.A.2A99.A2.A.A.A.A.2A$
1311.BABABA.A104.BABABA.A104.BABABA.A104.BABABA.A104.BABABA.A$1312.B
2ABA.A105.B2ABA.A105.B2ABA.A105.B2ABA.A105.B2ABA.A$1313.2B.BA107.2B.B
A107.2B.BA107.2B.BA107.2B.BA$1312.3B109.3B109.3B109.3B109.3B$1303.2A
6.4B100.2A6.4B100.2A6.4B100.2A6.4B100.2A6.4B$1304.A6.B2A3B99.A6.B2A3B
99.A6.B2A3B99.A6.B2A3B99.A6.B2A3B$1304.A.AB3.B2A3B99.A.AB3.B2A3B99.A.
AB3.B2A3B99.A.AB3.B2A3B99.A.AB3.B2A3B$1305.2AB.10B98.2AB.10B98.2AB.
10B98.2AB.10B98.2AB.10B$1307.13B99.13B99.13B99.13B99.13B$1307.14B98.
14B98.14B98.14B98.14B$1307.15B97.15B97.15B97.15B97.15B$1309.8B2.4B98.
8B2.4B98.8B2.4B98.8B2.4B98.8B2.4B$1309.6B5.4B97.6B5.4B97.6B5.4B97.6B
5.4B97.6B5.4B$1308.9B4.4B95.9B4.4B95.9B4.4B95.9B4.4B95.9B4.4B$1295.2A
10.4B4.2A5.4B81.2A10.4B4.2A5.4B81.2A10.4B4.2A5.4B81.2A10.4B4.2A5.4B
81.2A10.4B4.2A5.4B$1296.A9.4B5.A7.4B81.A9.4B5.A7.4B81.A9.4B5.A7.4B81.
A9.4B5.A7.4B81.A9.4B5.A7.4B$1294.A10.4B7.3A5.4B78.A10.4B7.3A5.4B78.A
10.4B7.3A5.4B78.A10.4B7.3A5.4B78.A10.4B7.3A5.4B$1294.5A5.4B5.3A2.A6.
4B77.5A5.4B5.3A2.A6.4B77.5A5.4B5.3A2.A6.4B77.5A5.4B5.3A2.A6.4B77.5A5.
4B5.3A2.A6.4B$1299.A3.5B5.A2.A9.4B81.A3.5B5.A2.A9.4B81.A3.5B5.A2.A9.
4B81.A3.5B5.A2.A9.4B81.A3.5B5.A2.A9.4B$1296.3AB2.7B.BA.A2.2A9.4B77.3A
B2.7B.BA.A2.2A9.4B77.3AB2.7B.BA.A2.2A9.4B77.3AB2.7B.BA.A2.2A9.4B77.3A
B2.7B.BA.A2.2A9.4B$1295.A.2B3.7B.B2A15.4B75.A.2B3.7B.B2A15.4B75.A.2B
3.7B.B2A15.4B75.A.2B3.7B.B2A15.4B75.A.2B3.7B.B2A15.4B$1295.4A12B18.4B
74.4A12B18.4B74.4A12B18.4B74.4A12B18.4B74.4A12B18.4B$1293.2A2.BA3B2A
7B19.4B71.2A2.BA3B2A7B19.4B71.2A2.BA3B2A7B19.4B71.2A2.BA3B2A7B19.4B
71.2A2.BA3B2A7B19.4B$1292.A2.3AB.2B2A7B20.4B69.A2.3AB.2B2A7B20.4B69.A
2.3AB.2B2A7B20.4B69.A2.3AB.2B2A7B20.4B69.A2.3AB.2B2A7B20.4B$1292.2A.A
.B3.10B21.4B68.2A.A.B3.10B21.4B68.2A.A.B3.10B21.4B68.2A.A.B3.10B21.4B
68.2A.A.B3.10B21.4B$1295.A8.8B21.4B70.A8.8B21.4B70.A8.8B21.4B70.A8.8B
21.4B70.A8.8B21.4B$1295.2A7.9B21.4B69.2A7.9B21.4B69.2A7.9B21.4B69.2A
7.9B21.4B69.2A7.9B21.4B$1305.3B2.4B21.4B78.3B2.4B21.4B78.3B2.4B21.4B
78.3B2.4B21.4B78.3B2.4B21.4B$1303.5B3.4B21.4B75.5B3.4B21.4B75.5B3.4B
21.4B75.5B3.4B21.4B75.5B3.4B21.4B$1303.2A7.4B21.4B74.2A7.4B21.4B74.2A
7.4B21.4B74.2A7.4B21.4B74.2A7.4B21.4B$1304.A8.3B22.4B74.A8.4B21.4B74.
A8.4B21.4B74.A8.4B21.4B74.A8.4B21.4B$1301.3A10.4B21.4B70.3A10.4B21.4B
70.3A10.4B21.4B70.3A10.4B21.4B70.3A10.4B21.4B$1301.A13.4B21.4B69.A13.
4B21.4B69.A13.4B21.4B69.A13.4B21.4B69.A13.4B21.4B$290.4B338.4B338.4B
338.4B21.4B83.4B21.4B83.4B21.4B83.4B21.4B83.4B21.4B$166.B.B.B.B.B.B.B
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B.B.B.B.B.5B.B.B.B.B.B.B.B.B.B.B.5B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
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.5B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B$165.125BA3BA
2B210.125BA3BA2B210.125BA3BA2B210.125BA3BA2B20.4B53.448B$165.130BA2B
209.130BA2B209.130BA2B209.130BA2B20.4B52.448B$165.125BA4BA2B209.125BA
4BA2B209.125BA4BA2B209.125BA4BA2B21.4B51.448B$165.126B5A2B209.126B5A
2B209.126B5A2B209.126B5A2B22.4B50.448B$165.134B208.134B208.134B208.
134B22.4B49.448B$165.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
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.B.B.B.B.B.6B208.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
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6B23.4B49.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.7B.B.B.B.B.B.B.B.B.B.B.5B.B.B
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B.B.B.7B.B.B.B.B.B.B.B.B.B.B.5B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
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B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
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B.B.B.B.B.B$1319.2B2C2B24.4B78.2B2D2B24.4B78.2B2D2B24.4B78.2B2D2B24.
4B78.2B2D2B24.4B78.2B2D2B$1320.C2BCB25.4B78.D2BDB25.4B78.D2BDB25.4B
78.D2BDB25.4B78.D2BDB25.4B78.D2BDB$1321.2C2B26.4B78.2D2B26.4B78.2D2B
26.4B78.2D2B26.4B78.2D2B26.4B78.2D2B$1280.A71.4B36.A71.4B36.A71.4B36.
A71.4B36.A71.4B36.A$1280.3A36.7B27.4B35.3A36.7B27.4B35.3A36.7B27.4B
35.3A36.7B27.4B35.3A36.7B27.4B35.3A36.7B$1283.A35.8B27.3B38.A35.8B27.
4B37.A35.8B27.4B37.A35.8B27.4B37.A35.8B27.4B37.A35.8B$1282.2A4.2B29.
9B27.2B37.2A4.2B29.9B27.4B35.2A4.2B29.9B27.4B35.2A4.2B29.9B27.4B35.2A
4.2B29.9B27.4B35.2A4.2B29.9B$1247.D30.B3.8B29.9B28.B2.D30.B3.8B29.9B
28.3BD30.B3.8B29.9B28.3BD30.B3.8B29.9B28.3BD30.B3.8B29.9B28.3BD30.B3.
8B29.9B$1248.D27.4B4.7B28.9B32.D27.4B4.7B28.9B29.3BD27.4B4.7B28.9B29.
3BD27.4B4.7B28.9B29.3BD27.4B4.7B28.9B29.3BD27.4B4.7B28.9B$1246.3DB25.
6B.9B28.9B30.3DB25.6B.9B28.9B30.3DB25.6B.9B28.9B30.3DB25.6B.9B28.9B
30.3DB25.6B.9B28.9B30.3DB25.6B.9B28.9B$1247.4B10.A13.6B.10B26.11B30.
4B10.A13.6B.10B26.11B30.4B10.A13.6B.10B26.11B30.4B10.A13.6B.10B26.11B
30.4B10.A13.6B.10B26.11B30.4B10.A13.6B.10B26.11B$1248.4B7.3A12.19B25.
11B31.4B7.3A12.19B25.11B31.4B7.3A12.19B25.11B31.4B7.3A12.19B25.11B31.
4B7.3A12.19B25.11B31.4B7.3A12.19B25.11B$1249.4B5.A14.19B26.12B31.4B5.
A14.19B26.12B31.4B5.A14.19B26.12B31.4B5.A14.19B26.12B31.4B5.A14.19B
26.12B31.4B5.A14.19B26.12B$1250.4B4.2A13.17B22.B4.14B31.4B4.2A13.17B
22.B4.14B31.4B4.2A13.17B22.B4.14B31.4B4.2A13.17B22.B4.14B31.4B4.2A13.
17B22.B4.14B31.4B4.2A13.17B22.B4.14B$1243.2A6.9B14.15B22.3B3.10B.4B
23.2A6.9B14.15B22.3B3.10B.4B23.2A6.9B14.15B22.3B3.10B.4B23.2A6.9B14.
15B22.3B3.10B.4B23.2A6.9B14.15B22.3B3.10B.4B23.2A6.9B14.15B22.3B3.10B
.4B$1244.A7.6B14.17B20.6B2.15B24.A7.6B14.17B20.6B2.15B24.A7.6B14.17B
20.6B2.15B24.A7.6B14.17B20.6B2.15B24.A7.6B14.17B20.6B2.15B24.A7.6B14.
17B20.6B2.15B$1244.A.2A5.6B3.B2.2B2.22B12.4B2.7B.13B.B2A22.A.2A5.6B3.
B2.2B2.22B12.4B2.7B.13B.B2A22.A.2A5.6B3.B2.2B2.22B12.4B2.7B.13B.B2A
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2.7B.13B.B2A22.A.2A5.6B3.B2.2B2.22B12.4B2.7B.13B.B2A$1245.A2.A4.19BD
21B3.2B2.29B.BA.A22.A2.A4.19BD21B3.2B2.29B.BA.A22.A2.A4.19BD21B3.2B2.
29B.BA.A22.A2.A4.19BD21B3.2B2.29B.BA.A22.A2.A4.19BD21B3.2B2.29B.BA.A
22.A2.A4.19BD21B3.2B2.29B.BA.A$1246.2AB3.20BDBD4B.24BD25B4.A23.2AB3.
20BDBD4B.24BD25B4.A23.2AB3.20BDBD4B.24BD25B4.A23.2AB3.20BDBD4B.24BD
25B4.A23.2AB3.20BDBD4B.24BD25B4.A23.2AB3.20BDBD4B.24BD25B4.A$1247.14B
2A9B3D4B2.23BDBD23B4.2A23.14B2A9B3D4B2.23BDBD23B4.2A23.14B2A9B3D4B2.
23BDBD23B4.2A23.14B2A9B3D4B2.23BDBD23B4.2A23.14B2A9B3D4B2.23BDBD23B4.
2A23.14B2A9B3D4B2.23BDBD23B4.2A$1248.13B2A11BD4B2.23B3DB2A21B29.13B2A
11BD4B2.23B3DB2A21B29.13B2A11BD4B2.23B3DB2A21B29.13B2A11BD4B2.23B3DB
2A21B29.13B2A11BD4B2.23B3DB2A21B29.13B2A11BD4B2.23B3DB2A21B$1249.29B
4.24BDB2A21B30.29B4.24BDB2A21B30.29B4.24BDB2A21B30.29B4.24BDB2A21B30.
29B4.24BDB2A21B30.29B4.24BDB2A21B$1249.17B.4B10.51B29.17B.4B10.51B29.
17B.4B10.51B29.17B.4B10.51B29.17B.4B10.51B29.17B.4B10.51B$1250.15B3.
4B10.16B.B5.26B31.15B3.4B10.16B.B5.26B31.15B3.4B10.16B.B5.26B31.15B3.
4B10.16B.B5.26B31.15B3.4B10.16B.B5.26B31.15B3.4B10.16B.B5.26B$1250.
15B3.B.A2B.2A6.12B13.B2.20B32.15B3.B.A2B.2A6.12B13.B2.20B32.15B3.B.A
2B.2A6.12B13.B2.20B32.15B3.B.A2B.2A6.12B13.B2.20B32.15B3.B.A2B.2A6.
12B13.B2.20B32.15B3.B.A2B.2A6.12B13.B2.20B$1251.13B5.A.A2B.A6.9B18.
20B.B.B30.13B5.A.A2B.A6.9B18.20B.B.B30.13B5.A.A2B.A6.9B18.20B.B.B30.
13B5.A.A2B.A6.9B18.20B.B.B30.13B5.A.A2B.A6.9B18.20B.B.B30.13B5.A.A2B.
A6.9B18.20B.B.B$1253.13B2.A.AB2.A6.11B16.24B2A31.13B2.A.AB2.A6.11B16.
24B2A31.13B2.A.AB2.A6.11B16.24B2A31.13B2.A.AB2.A6.11B17.23B2A31.13B2.
A.AB2.A6.11B16.24B2A31.13B2.A.AB2.A6.11B16.24B2A$1252.8B4.2A.A.A3.A8.
7B.B2A15.24B2A30.8B4.2A.A.A3.A8.7B.B2A15.24B2A30.8B4.2A.A.A3.A8.7B.B
2A15.24B2A30.8B4.2A.A.A3.A8.7B.B2A16.23B2A30.8B4.2A.A.A3.A8.7B.B2A16.
23B2A30.8B4.2A.A.A3.A8.7B.B2A16.23B2A$1252.6B6.2ABA2.4A.A8.4B2.BA.A
14.B2.5B2.12B.2B31.6B6.2ABA2.4A.A8.4B2.BA.A14.B2.5B2.12B.2B31.6B6.2AB
A2.4A.A8.4B2.BA.A14.B2.5B2.12B.2B31.6B6.2ABA2.4A.A8.4B2.BA.A17.5B2.
12B.2B31.6B6.2ABA2.4A.A8.4B2.BA.A17.5B2.12B.2B31.6B6.2ABA2.4A.A8.4B2.
BA.A17.5B2.12B.2B$1252.5B8.B2.A.A3.A.A6.B2A2B5.A14.B2.4B3.13B33.5B8.B
2.A.A3.A.A6.B2A2B5.A14.B2.4B3.13B33.5B8.B2.A.A3.A.A6.B2A2B5.A14.B2.4B
3.13B33.5B8.B2.A.A3.A.A6.B2A2B5.A17.4B3.13B33.5B8.B2.A.A3.A.A6.B2A2B
5.A17.4B3.13B33.5B8.B2.A.A3.A.A6.B2A2B5.A17.4B3.13B$1252.B.B9.2A.2A2.
A2.A.A7.2A7.2A25.11B.B31.B.B9.2A.2A2.A2.A.A7.2A7.2A25.11B.B31.B.B9.2A
.2A2.A2.A.A7.2A7.2A25.11B.B31.B.B9.2A.2A2.A2.A.A7.2A7.2A25.11B.B31.B.
B9.2A.2A2.A2.A.A7.2A7.2A25.11B.B31.B.B9.2A.2A2.A2.A.A7.2A7.2A25.11B.B
$1253.3B9.A.A2.2A3.A44.12B2A31.3B9.A.A2.2A3.A44.12B2A31.3B9.A.A2.2A3.
A44.12B2A31.3B9.A.A2.2A3.A44.12B2A31.3B9.A.A2.2A3.A44.12B2A31.3B9.A.A
2.2A3.A44.12B2A$1252.B2AB9.A.A52.10B.B2A30.B2AB9.A.A52.10B.B2A30.B2AB
9.A.A52.10B.B2A30.B2AB9.A.A52.10B.B2A30.B2AB9.A.A52.10B.B2A30.B2AB9.A
.A52.10B.B2A$1253.2A11.A51.2AB.6B4.B32.2A11.A51.2AB.6B4.B32.2A11.A51.
2AB.6B4.B32.2A11.A51.2AB.6B4.B32.2A11.A51.2AB.6B4.B32.2A11.A51.2AB.6B
4.B$1317.A.AB.4B103.A.AB.4B103.A.AB.4B103.A.AB.4B103.A.AB.4B103.A.AB.
4B$1317.A5.5B101.A5.5B101.A5.5B101.A5.5B101.A5.5B101.A5.5B$1316.2A8.
2A100.2A8.2A100.2A8.2A100.2A8.2A100.2A8.2A100.2A8.2A$1326.A111.A111.A
111.A111.A111.A$1327.3A109.3A109.3A109.3A109.3A109.3A$1329.A111.A111.
A111.A111.A111.A$346.2B340.2B340.2B$B.5B.B337.3B.A337.3B.A337.3B.A$9B
337.2BA3BA335.2BA3BA335.2BA3BA$8BD337.7BA334.7BA334.7BA$8B2D336.2BA4B
A334.2BA4BA334.2BA4BA$7B2D337.3B5A334.3B5A334.3B5A$3.6B337.7B335.7B
335.7B$5.B.B339.6B336.6B336.6B!

I've tried a few other equivalent options, like

x = 1183, y = 384, rule = LifeHistory
805.B91.B91.B91.B$804.2B90.2B90.2B90.2B$803.3B89.3B89.3B89.3B$802.4B
88.4B88.4B88.4B$801.4B88.4B88.4B88.4B88.2B$800.4B88.4B88.4B88.4B88.3B
$799.4B88.4B88.4B88.4B88.4B$798.4B88.4B88.4B88.4B88.4B$773.A23.4B64.A
23.4B64.A23.4B64.A23.4B64.A23.4B$771.3A22.4B63.3A22.4B63.3A22.4B63.3A
22.4B63.3A22.4B$770.A24.4B63.A24.4B63.A24.4B63.A24.4B63.A24.4B$760.2A
8.2A22.4B54.2A8.2A22.4B54.2A8.2A22.4B54.2A8.2A22.4B54.2A8.2A22.4B$
761.A5.5B21.4B56.A5.5B21.4B56.A5.5B21.4B56.A5.5B21.4B56.A5.5B21.4B$
729.2A11.A4.B13.A.AB.4B22.4B25.2A11.A4.B13.A.AB.4B22.4B25.2A11.A4.B
13.A.AB.4B22.4B25.2A11.A4.B13.A.AB.4B22.4B25.2A11.A4.B13.A.AB.4B22.4B
$728.B2AB9.A.A3.2B13.2AB.6B4.B14.4B25.B2AB9.A.A3.2B13.2AB.6B4.B14.4B
25.B2AB9.A.A3.2B13.2AB.6B4.B14.4B25.B2AB9.A.A3.2B13.2AB.6B4.B14.4B25.
B2AB9.A.A3.2B13.2AB.6B4.B14.4B$729.3B9.A.A3.3B14.10B.B2A12.4B27.3B9.A
.A3.3B14.10B.B2A12.4B27.3B9.A.A3.3B14.10B.B2A12.4B27.3B9.A.A3.3B14.
10B.B2A12.4B27.3B9.A.A3.3B14.10B.B2A12.4B$728.B.B9.2A.3A.B2AB13.12B2A
11.4B27.B.B9.2A.3A.B2AB13.12B2A11.4B27.B.B9.2A.3A.B2AB13.12B2A11.4B
27.B.B9.2A.3A.B2AB13.12B2A11.4B27.B.B9.2A.3A.B2AB13.12B2A11.4B$728.5B
8.B4.A.BA2B12.11B.B11.4B28.5B8.B4.A.BA2B12.11B.B11.4B28.5B8.B4.A.BA2B
12.11B.B11.4B28.5B8.B4.A.BA2B12.11B.B11.4B28.5B8.B4.A.BA2B12.11B.B11.
4B$728.6B6.2AB3A3.ABAB2.4B3.13B12.4B29.6B6.2AB3A3.ABAB2.4B3.13B12.4B
29.6B6.2AB3A3.ABAB2.4B3.13B12.4B29.6B6.2AB3A3.ABAB2.4B3.13B12.4B29.6B
6.2AB3A3.ABAB2.4B3.13B12.4B$728.8B4.2A.A6.2A2B.5B2.12B.2B9.4B30.8B4.
2A.A6.2A2B.5B2.12B.2B9.4B30.8B4.2A.A6.2A2B.5B2.12B.2B9.4B30.8B4.2A.A
6.2A2B.5B2.12B.2B9.4B30.8B4.2A.A6.2A2B.5B2.12B.2B9.4B$729.13B10.24B2A
7.4B32.13B10.24B2A7.4B32.13B10.24B2A7.4B32.13B10.24B2A7.4B32.13B10.
24B2A7.4B$727.13B12.24B2A6.4B31.13B12.24B2A6.4B31.13B12.24B2A6.4B31.
13B12.24B2A6.4B31.13B12.24B2A6.4B$726.15B12.20B.B.B6.4B31.15B12.20B.B
.B6.4B31.15B12.20B.B.B6.4B31.15B12.20B.B.B6.4B31.15B12.20B.B.B6.4B$
726.15B10.B2.20B8.4B32.15B10.B2.20B8.4B32.15B10.B2.20B8.4B32.15B10.B
2.20B8.4B32.15B10.B2.20B8.4B$725.17B.B5.26B6.4B32.17B.B5.26B6.4B32.
17B.B5.26B6.4B32.17B.B5.26B6.4B32.17B.B5.26B6.4B$725.51B4.4B33.51B4.
4B33.51B4.4B33.51B4.4B33.51B4.4B$724.13B2A11BDB2A21B4.4B33.13B2A11BDB
2A21B4.4B33.13B2A11BDB2A21B4.4B33.13B2A11BDB2A21B4.4B33.13B2A11BDB2A
21B4.4B$723.14B2A9B3DB2A21B3.4B33.14B2A9B3DB2A21B3.4B33.14B2A9B3DB2A
21B3.4B33.14B2A9B3DB2A21B3.4B33.14B2A9B3DB2A21B3.4B$722.2AB3.20BDBD
23B3.4B33.2AB3.20BDBD23B3.4B33.2AB3.20BDBD23B3.4B33.2AB3.20BDBD23B3.
4B33.2AB3.20BDBD23B3.4B$721.A2.A4.19BD25B2.4B33.A2.A4.19BD25B2.4B33.A
2.A4.19BD25B2.4B33.A2.A4.19BD25B2.4B33.A2.A4.19BD25B2.4B$720.A.2A5.6B
3.B2.2B2.29B.4B33.A.2A5.6B3.B2.2B2.29B.4B33.A.2A5.6B3.B2.2B2.29B.4B
33.A.2A5.6B3.B2.2B2.29B.4B33.A.2A5.6B3.B2.2B2.29B.4B$720.A7.6B13.4B2.
7B.17B34.A7.6B13.4B2.7B.17B34.A7.6B13.4B2.7B.17B34.A7.6B13.4B2.7B.17B
34.A7.6B13.4B2.7B.17B$719.2A6.9B17.6B2.16B34.2A6.9B17.6B2.16B34.2A6.
9B17.6B2.16B34.2A6.9B17.6B2.16B34.2A6.9B17.6B2.16B$726.4B4.2A19.3B3.
10B.4B42.4B4.2A19.3B3.10B.4B42.4B4.2A19.3B3.10B.4B42.4B4.2A19.3B3.10B
.4B42.4B4.2A19.3B3.10B.4B$725.4B5.A21.B4.14B42.4B5.A21.B4.14B42.4B5.A
21.B4.14B42.4B5.A21.B4.14B42.4B5.A21.B4.14B$724.4B7.3A24.12B42.4B7.3A
24.12B42.4B7.3A24.12B42.4B7.3A24.12B42.4B7.3A24.12B$723.4B10.A24.11B
42.4B10.A24.11B42.4B10.A24.11B42.4B10.A24.11B42.4B10.A24.11B$722.4B
36.11B41.4B36.11B42.3B36.11B41.4B36.11B42.3B36.11B$721.4B38.9B41.4B
38.9B43.2B38.9B41.4B38.9B43.2B38.9B$720.3AB39.9B83.9B43.B39.9B83.9B
43.B39.9B$722.A35.2A3.9B78.2A3.9B78.2A3.9B78.2A3.9B78.2A3.9B$721.A37.
A3.9B79.A3.9B79.A3.9B79.A3.9B79.A3.9B$759.A.A9B80.A.A9B80.A.A9B80.A.A
9B80.A.A9B$760.2A2.6B82.2A2.6B82.2A2.6B82.2A2.6B82.2A2.6B$764.10B33.B
48.10B33.B48.10B33.B48.10B33.B48.10B$764.D2B2D6B17.2A12.2B48.D2B2D6B
17.2A12.2B48.D2B2D6B17.2A12.2B48.D2B2D6B17.2A12.2B48.D2B2D6B17.2A$
761.2B.B3D7B8.2A6.B2AB10.3B45.2B.B3D7B8.2A6.B2AB10.3B45.2B.B3D7B8.2A
6.B2AB10.3B45.2B.B3D7B8.2A6.B2AB10.3B45.2B.B3D7B8.2A6.B2AB$760.2A4BD
9B6.B2AB5.3B10.4B44.2A4BD9B6.B2AB5.3B10.4B44.2A4BD9B6.B2AB5.3B10.4B
44.2A4BD9B6.B2AB5.3B10.4B44.2A4BD9B6.B2AB5.3B$760.2AB.12B6.3B7.B10.4B
45.2AB.12B6.3B7.B10.4B45.2AB.12B6.3B7.B10.4B45.2AB.12B6.3B7.B10.4B45.
2AB.12B6.3B7.B$761.B.13B2.B4.B.2B3.5B7.4B47.B.13B2.B4.B.2B3.5B7.4B47.
B.13B2.B4.B.2B3.5B7.4B47.B.13B2.B4.B.2B3.5B7.4B47.B.13B2.B4.B.2B3.5B$
763.18BD10BA4B4.4B50.18BD10BA4B4.4B50.18BD10BA4B4.4B50.18BD10BA4B4.4B
50.18BD10BA4B$764.18BD8BABA4B2.4B52.18BD8BABA4B2.4B52.18BD8BABA4B2.4B
52.18BD8BABA4B2.4B52.18BD8BABA4B$764.18B2D7BABA4B.4B53.18B2D7BABA4B.
4B53.18B2D7BABA4B.4B53.18B2D7BABA4B.4B53.18B2D7BABA4B$764.17B2D9BA4B.
4B54.17B2D9BA4B.4B54.17B2D9BA4B.4B54.17B2D9BA4B.4B54.17B2D9BA4B$763.
18BD13B2.4B54.18BD13B2.4B54.18BD13B2.4B54.18BD13B2.4B54.18BD13B$760.
2B.2B2A7B3.16B3.4B52.2B.2B2A7B3.16B3.4B52.2B.2B2A7B3.16B3.4B52.2B.2B
2A7B3.16B3.4B52.2B.2B2A7B3.16B$759.2A3BA2BA3B.B7.13B2.4B52.2A3BA2BA3B
.B7.13B2.4B52.2A3BA2BA3B.B7.13B2.4B52.2A3BA2BA3B.B7.13B2.4B52.2A3BA2B
A3B.B7.13B$759.2AB.2B2A2B11.12B2.4B53.2AB.2B2A2B11.12B2.4B53.2AB.2B2A
2B11.12B2.4B53.2AB.2B2A2B11.12B2.4B53.2AB.2B2A2B11.12B$760.B2.6B11.
17B55.B2.6B11.17B55.B2.6B11.17B55.B2.6B11.17B55.B2.6B11.13B$764.4B12.
16B60.4B12.16B60.4B12.16B60.4B12.16B60.4B12.12B$764.4B13.14B61.4B13.
14B61.4B13.14B61.4B13.14B61.4B13.10B$765.2B16.11B63.2B16.11B63.2B16.
11B63.2B16.11B63.2B16.8B$786.7B85.7B85.7B85.7B85.5B$786.6B86.6B86.6B
86.6B86.6B$785.7B85.7B85.7B85.7B85.7B$786.5B87.5B87.5B87.5B87.5B$785.
6B86.6B86.6B86.6B87.5B$784.5B2D2B83.5B2D2B83.5B2D2B83.5B2D2B83.2BD2B
2D2B$783.4B3D4B2.2A.A75.4B3D4B2.2A.A75.4B3D4B2.2A.A75.4B3D4B2.2A.A75.
4B3D4B2.2A.A$782.6BD7BA.2A74.6BD7BA.2A74.6BD7BA.2A74.6BD7BA.2A74.6BD
7BA.2A$781.14B78.14B78.14B78.14B78.14B$764.2B14.9B2A4B61.2B14.9B2A4B
61.2B14.9B2A4B61.2B14.9B2A4B61.2B14.9B2A4B$763.4B12.4B.5B2A3B61.4B12.
4B.5B2A3B61.4B12.4B.5B2A3B61.4B12.4B.5B2A3B61.4B12.4B.5B2A3B$763.4B
11.4B2.10B61.4B11.4B2.10B61.4B11.4B2.10B61.4B11.4B2.10B61.4B11.4B2.
10B$761.7B9.4B3.9B60.7B9.4B3.9B60.7B9.4B3.9B60.7B9.4B3.9B60.7B9.4B3.
9B$761.8B7.4B4.9B60.8B7.4B4.9B60.8B7.4B4.9B60.8B7.4B4.9B60.8B7.4B4.9B
$760.9B6.4B6.8B59.9B6.4B6.8B59.9B6.4B6.8B59.9B6.4B6.8B59.9B6.4B6.8B$
759.21B4.8B59.21B4.8B59.21B4.8B59.21B4.8B59.21B4.8B$3.B.B.B.B.B397.B.
B.B.B.B.B193.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
.B.B.B.B.B.B.B.B.B.B.21B.B.9B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
.B.B.B.B.B.B.B.B.B.21B.B.9B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
.B.B.B.B.B.B.B.B.21B.B.9B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
.B.B.B.B.B.B.B.21B.B.9B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
.B.B.B.B.B.B.21B.B.9B.B.B.B.B.B$.12B394.5B2.6B193.558B$.6B5CB394.6B5C
2B193.558B$6BC4BCB393.6BC4BC2B193.558B$2.9BCB395.9BC2B193.558B$B.4BC
3BC2B393.B.4BC3BC3B193.558B$2.B.B.B.C.B.B395.B.B.B.C.B.B195.B.B.B.B.B
.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.
7BD7BD19B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.7BD
7BD19B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.7BD7BD
19B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.7BD7BD19B
.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.7BD7BD19B.B.
B.B.B$761.4BD2BD5BD2BD16B59.4BD2BD5BD2BD16B59.4BD2BD5BD2BD16B59.4BD2B
D5BD2BD16B59.4BD2BD5BD2BD16B$763.3B2D7B2D17B61.3B2D7B2D17B61.3B2D7B2D
17B61.3B2D7B2D17B61.3B2D7B2D17B$763.31B61.31B61.31B61.31B61.31B$761.
10BD16B3D3B2A57.10BD16B3D3B2A57.10BD16B3D3B2A57.10BD16B3D3B2A57.10BD
16B3D3B2A$760.10BDBD15BD5BA.A55.10BDBD15BD5BA.A55.10BDBD15BD5BA.A55.
10BDBD15BD5BA.A55.10BDBD15BD5BA.A$758.12BDBD14B3D2B4.A53.12BDBD14B3D
2B4.A53.12BDBD14B3D2B4.A53.12BDBD14B3D2B4.A53.12BDBD14B3D2B4.A$757.
14BD19B5.2A51.14BD19B5.2A51.14BD19B5.2A51.14BD19B5.2A51.14BD19B5.2A$
757.33B59.33B59.33B59.33B59.33B$758.13B3.3B2.3B4.6B58.13B3.3B2.3B4.6B
58.13B3.3B2.3B4.6B58.13B3.3B2.3B4.6B58.13B3.3B2.3B4.6B$760.10B5.B14.
2A60.10B5.B14.2A60.10B5.B14.2A60.10B5.B14.2A60.10B5.B14.2A$760.10B20.
A61.10B20.A61.10B20.A61.10B20.A61.10B20.A$762.5B24.3A60.5B24.3A60.5B
24.3A60.5B24.3A60.5B24.3A$763.3B27.A61.3B27.A61.3B27.A61.3B27.A61.3B
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4B$1109.4B$1108.4B$1083.A23.4B66.A$1081.3A22.4B65.3A$1080.A24.4B65.A$
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AB.4B22.4B27.2A11.A4.B13.A.AB.4B$1038.B2AB9.A.A3.2B13.2AB.6B4.B14.4B
27.B2AB9.A.A3.2B13.2AB.6B4.B$1039.3B9.A.A3.3B14.10B.B2A12.4B29.3B9.A.
A3.3B14.10B.B2A$1038.B.B9.2A.3A.B2AB13.12B2A11.4B29.B.B9.2A.3A.B2AB
13.12B2A$1038.5B8.B4.A.BA2B12.11B.B11.4B30.5B8.B4.A.BA2B12.11B.B$
1038.6B6.2AB3A3.ABAB2.4B3.13B12.4B31.6B6.2AB3A3.ABAB2.4B3.13B$1038.8B
4.2A.A6.2A2B.5B2.12B.2B9.4B32.8B4.2A.A6.2A2B.5B2.12B.2B$1039.13B10.
24B2A7.4B34.13B10.24B2A$1037.13B12.24B2A6.4B33.13B12.24B2A$1036.15B
12.20B.B.B6.4B33.15B12.20B.B.B$1036.15B10.B2.20B8.4B34.15B10.B2.20B$
1035.17B.B5.26B6.4B34.17B.B5.26B$1035.51B4.4B35.51B$1034.13B2A11BDB2A
21B4.4B35.13B2A11BDB2A21B$1033.14B2A9B3DB2A21B3.4B35.14B2A9B3DB2A21B$
1032.2AB3.20BDBD23B3.4B35.2AB3.20BDBD23B3.B$1031.A2.A4.19BD25B2.4B35.
A2.A4.19BD25B2.2B$1030.A.2A5.6B3.B2.2B2.29B.4B35.A.2A5.6B3.B2.2B2.29B
.3B$1030.A7.6B13.4B2.7B.17B36.A7.6B13.4B2.7B.17B$1029.2A6.9B17.6B2.
16B36.2A6.9B17.6B2.16B$1036.4B4.2A19.3B3.10B.4B44.4B4.2A19.3B3.10B.4B
$1035.4B5.A21.B4.14B47.B5.A21.B4.14B$1034.4B7.3A24.12B55.3A24.12B$
1033.4B10.A24.11B58.A24.11B$1032.4B36.11B83.11B$1031.4B38.9B85.9B$
1030.3AB39.9B85.9B$1032.A35.2A3.9B80.2A3.9B$1031.A37.A3.9B81.A3.9B$
1069.A.A9B82.A.A9B$1070.2A2.6B84.2A2.6B$1074.6B88.6B$1074.D2B2D2B87.D
2B2D2B$1074.B3D4B2.2A31.B50.B3D4B2.2A$1072.4BD7BA.A29.2B48.4BD7BA.A$
1072.11B3.A28.3B48.11B3.A$1072.5B2A4B3.2A26.4B48.5B2A4B3.2A$1072.5B2A
3B31.4B49.5B2A3B$1072.10B30.4B50.10B$1072.9B30.4B51.9B$1072.9B29.4B
52.9B$1073.8B28.4B54.8B$1072.8B28.4B54.8B$1073.6B28.4B56.6B$1073.6B
27.4B57.6B$1073.6B26.4B58.6B$1073.7B24.4B59.7B$1074.6B23.4B61.6B$
1073.6B23.4B61.6B$1074.5B22.4B63.5B$1074.6B20.4B64.6B$1074.6B19.4B65.
6B$1074.7B17.4B66.7B$1065.A8.2B3D2B16.4B58.A8.2B3D2B$1065.3A5.3BD4B
15.4B59.3A5.3BD4B$1068.A4.2B3D3B14.4B63.A4.2B3D3B$1067.2A3.8B14.4B63.
2A3.8B$1067.4B2.2B2A3B13.4B70.2B2A3B$1069.3B.2B2A5B10.4B69.B.2B2A5B$
1069.13B9.4B70.11B$1067.16B7.4B71.12B$1066.18B5.4B67.18B$1063.20B5.4B
65.20B$1062.20B5.4B65.20B$1058.2A3.18B5.4B62.2A3.18B$1059.A4.16B5.4B
64.A4.16B$1059.A.AB.24B65.A.AB.20B$1060.2AB.23B67.2AB.23B$1062.27B67.
27B$1063.26B68.26B$1061.28B66.28B$1060.28B66.28B$1059.29B65.29B$1058.
28B66.28B$1058.28B66.28B$1058.25B69.25B$1056.2AB.23B67.2AB.23B$1055.A
.AB.22B67.A.AB.22B$1055.A5.6B.11B.2B67.A5.6B.11B.2B$1054.2A6.4B2.9B
71.2A6.4B2.9B$1062.2B2AB2.7B80.2B2AB2.7B$1064.2A3.2BD2B2D2B80.2A5.D2B
2D2B$1068.4B3D4B2.2A.A77.4B3D4B2.2A.A$1067.6BD7BA.2A76.6BD7BA.2A$
1066.14B80.14B$1049.2B14.9B2A4B63.2B14.9B2A4B$1048.4B12.4B.5B2A3B63.
4B13.3B.5B2A3B$1048.4B11.4B2.10B63.4B13.2B2.10B$1046.7B9.4B3.9B62.7B
12.B3.9B$1046.8B7.4B4.9B62.8B15.9B$1045.9B6.4B6.8B61.9B16.8B$1044.21B
4.8B61.21B4.8B$288.B.B.B.B.B397.B.B.B.B.B.B193.B.B.B.B.B.B.B.B.B.B.B.
B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B
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.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.B.20B5.7B$286.
12B394.5B2.6B193.252BD6B6.7B$286.6B5CB394.6B5C2B193.251BDBD7B4.7B$
285.6BC4BCB393.6BC4BC2B193.251BDBD8B.B.8B$287.9BCB395.9BC2B193.252BD
8B.12B$285.B.4BC3BC2B393.B.4BC3BC3B193.275B$287.B.B.B.C.B.B395.B.B.B.
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B.B.B.B.B.B.B.B.6B2D7B2D17B$1046.4BD2BD5BD2BD16B61.4BD2BD5BD2BD16B$
1048.3B2D7B2D17B63.3B2D7B2D17B$1048.31B63.31B$1046.10BD16B3D3B2A59.
10BD16B3D3B2A$1045.10BDBD15BD5BA.A57.10BDBD15BD5BA.A$1043.12BDBD14B3D
2B4.A55.12BDBD14B3D2B4.A$1042.14BD19B5.2A53.14BD19B5.2A$1042.33B61.
33B$1043.13B3.3B2.3B4.6B60.13B3.3B2.3B6.4B$1045.10B5.B14.2A62.10B5.B
14.2A$1045.10B20.A63.10B20.A$1047.5B24.3A62.5B24.3A$1048.3B27.A63.3B
27.A!

-- but haven't really come up with one I like yet. Something faster, or something where the rungs can be packed closer together than 90 cells, would definitely win this competition. Anybody have a candidate?
dvgrn
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Posts: 4029
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: Quest-for-Tetris Challenges

Postby dvgrn » September 17th, 2017, 10:07 pm

The Quest-for-Tetris team has written up their solution. As expected, due to the lavish use of levels of abstraction, it's impressively big, a lot bigger than it really needs to be.

In the shiny new Conwaylife Lounge there has been some discussion about this, but if you haven't signed up you have to click this invite link first.

Anyway, I spent a few minutes throwing some circuitry together for the neighbor-detection system of a Hashlife-friendly metacell:

x = 1023, y = 1023, rule = LifeHistory
122.2A128.C381.2A128.C$122.A.A125.C.C381.A.A125.C.C$124.A4.2A120.2C
383.A4.2A120.2C$120.4A.2A2.A2.A499.4A.2A2.A2.A$120.A2.A.A.A.A.2A499.A
2.A.A.A.A.2A$122.BABABA.A504.BABABA.A$123.B2ABA.A505.B2ABA.A$124.2B.B
A507.2B.BA$123.3B134.B374.3B134.B$114.2A6.4B134.2B364.2A6.4B134.2B$
115.A6.B2A3B132.3B364.A6.B2A3B132.3B$115.A.AB3.B2A3B132.4B8.2A353.A.A
B3.B2A3B132.4B8.2A$116.2AB.10B131.4B6.B2AB353.2AB.10B131.4B6.B2AB$
118.13B131.4B6.4B354.13B131.4B6.4B$99.A18.14B131.4B6.2B336.A18.14B
131.4B6.2B$97.3A18.15B131.4B4.3B334.3A18.15B131.4B4.3B$96.A23.8B2.4B
131.4B2.5B5.2A325.A23.8B2.4B131.4B2.5B5.2A$86.2A8.2A22.6B5.4B10.A120.
4B.6B4.A316.2A8.2A22.6B5.4B10.A120.4B.6B4.A$87.A5.5B21.9B4.4B7.3A121.
10B.BA.A317.A5.5B21.9B4.4B7.3A121.10B.BA.A$55.2A11.A18.A.AB.4B22.4B4.
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.B2A165.A35.C$54.B2AB9.A.A18.2AB.6B4.B14.4B5.A7.4B4.2A123.12B165.3A
35.C.C81.B2AB9.A.A18.2AB.6B4.B14.4B5.A7.4B4.2A123.12B165.3A35.C.C$55.
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12.4B7.3A5.9B123.12B164.A38.2C$54.B.B9.2A.3A2.2A14.12B2A11.4B10.A6.6B
125.12B3.2A159.2A121.B.B9.2A.3A2.2A14.12B2A11.4B10.A6.6B125.12B3.2A
159.2A$54.5B8.B4.A2.A14.11B.B11.4B19.6B122.2AB.2B2A6B3.A147.2A8.5B
121.5B8.B4.A2.A14.11B.B11.4B19.6B122.2AB.2B2A6B3.A147.2A8.5B$54.6B6.
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157.6B2A5B86.C31.13B12.24B2A6.4B14.6B.3BA2BA2B128.2B2DB157.6B2A5B$19.
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20B.B.B6.4B14.2BA9B2A4B127.2B2DB157.5BA2BA5B$52.15B10.B2.20B8.4B16.AB
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2A7B$51.17B.B5.26B6.4B17.2A320B113.17B.B5.26B6.4B17.2A320B$51.51B4.4B
19.316B2.4B112.51B4.4B19.316B2.4B$50.13B2A13B2A21B4.4B22.313B4.4B110.
13B2A13B2A21B4.4B22.313B4.4B$49.14B2A13B2A21B3.4B22.315B4.4B108.14B2A
13B2A21B3.4B22.315B4.4B$48.2AB3.46B3.4B23.313B2A5.4B13.B92.2AB3.46B3.
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29B.4B25.14B290.5B5.3A5.5B8.3B90.A.2A5.6B3.B2.2B2.29B.4B25.14B290.5B
5.3A5.5B8.3B$46.A7.6B13.4B2.7B.17B27.13B290.7B5.A6.5B6.4B90.A7.6B13.
4B2.7B.17B27.13B290.7B5.A6.5B6.4B$45.2A6.9B17.6B2.16B30.11B291.3B.2A.
A11.4B5.4B90.2A6.9B17.6B2.16B30.11B291.3B.2A.A11.4B5.4B$52.4B4.2A19.
3B3.10B.4B30.13B285.2A2.B2A2.2AB3A9.5B3.4B98.4B4.2A19.3B3.10B.4B30.
13B285.2A2.B2A2.2AB3A9.5B3.4B$51.4B5.A21.B4.14B30.15B284.A2.A2.A3.B4.
A4.2B.7B.4B98.4B5.A21.B4.14B30.15B284.A2.A2.A3.B4.A4.2B.7B.4B$50.4B7.
3A24.12B31.16B284.5A3.2A.3A4.16B97.4B7.3A24.12B31.16B284.5A3.2A.3A4.
16B$43.2A4.4B10.A24.11B32.17B292.A.A5.17B.2B87.2A4.4B10.A24.11B32.17B
292.A.A5.17B.2B$34.4B4.B2AB2.4B36.11B32.16B286.2A.A3.A.A5.13BD5B2A77.
4B4.B2AB2.4B36.11B32.16B286.2A.A3.A.A5.13BD5B2A$35.4B3.3B2.4B38.9B35.
13B287.A.2A4.A6.12BDBD2B.B2A78.4B3.3B2.4B38.9B35.13B287.A.2A4.A6.12BD
BD2B.B2A$36.4B3.B.5B39.9B39.2B2A5B302.12BDBD3B.B4.A75.4B3.B.5B39.9B
39.2B2A5B302.12BDBD3B.B4.A$37.12B3.2A30.2A3.9B39.2B2A3B304.13BD4B6.3A
74.12B3.2A30.2A3.9B39.2B2A3B304.13BD4B6.3A$38.10B2.BA.AB30.A3.9B38.8B
302.2A19B8.A74.10B2.BA.AB30.A3.9B38.8B302.2A19B8.A$39.5B2D5B2A2B30.A.
A9B40.8B300.A.A15B.4B6.A.A74.5B2D5B2A2B30.A.A9B40.8B300.A.A15B.4B6.A.
A$40.3BD2BD4B.B.B2A29.2A2.6B23.A17.8B300.A4.13B2.4B5.A.AB74.3BD2BD4B.
B.B2A29.2A2.6B23.A17.8B300.A4.13B2.4B5.A.AB$41.3B2D6B2.BA.A32.10B19.
3A16.7B299.2A5.B.2B2A7B2.4B5.A3B74.3B2D6B2.BA.A32.10B19.3A16.7B299.2A
5.B.2B2A7B2.4B5.A3B$40.13B4.A32.11B21.A15.7B310.2A4B.2A3.4B6.4B71.13B
4.A32.11B21.A15.7B310.2A4B.2A3.4B6.4B$39.14B4.2A28.2B.11B20.2A15.6B
314.2B.BA.A3.4B5.6B68.14B4.2A28.2B.11B20.2A15.6B314.2B.BA.A3.4B5.6B$
37.15B34.2A14B19.4B13.6B318.B2A4.4B4.7B65.15B34.2A14B19.4B13.6B318.B
2A4.4B4.7B$36.14B2A34.2AB.12B7.7B.B5.3B12.5B317.4B6.4B2.8B.4B.B57.14B
2A34.2AB.12B7.7B.B5.3B12.5B317.4B6.4B2.8B.4B.B$36.14B2A35.B.13B2.B4.
13B.4B10.6B317.2A9.17B.B2A56.14B2A35.B.13B2.B4.13B.4B10.6B317.2A9.17B
.B2A$35.16B38.45B4.6B317.A10.18B2A55.16B38.45B4.6B317.A10.18B2A$34.4B
2.11B39.45B2.7B314.3A11.16B.2B55.4B2.11B39.45B2.7B314.3A11.16B.2B$33.
4B4.9B40.45B2.6B315.A13.16B57.4B4.9B40.45B2.6B315.A13.16B$32.4B4.11B
39.21B2A22B.7B329.15B57.4B4.11B39.21B2A22B.7B329.15B$31.4B5.10B39.22B
2A31B326.2AB.12B57.4B5.10B39.22B2A31B326.2AB.12B$30.4B7.8B37.2B.2B2A
7B3.2B2.11B3.2B2.19B325.A.AB2.11B56.4B7.8B37.2B.2B2A7B3.2B2.11B3.2B2.
19B325.A.AB2.11B$29.4B9.7B36.2A3BA2BA3B.B8.10B11.17B324.A5.10B56.4B9.
7B36.2A3BA2BA3B.B8.10B11.17B324.A5.10B$28.4B15.2A36.2AB.2B2A2B13.6B
16.15B3.B319.2A5.2B2A6B55.4B15.2A36.2AB.2B2A2B13.6B16.15B3.B319.2A5.
2B2A6B$19.2A6.4B5.2A9.A38.B2.6B14.3B19.15B.B2A324.3B2A6B46.2A6.4B5.2A
9.A38.B2.6B14.3B19.15B.B2A324.3B2A6B$20.A6.4B5.A3.A7.3A39.4B15.B20.
18B2A325.10B47.A6.4B5.A3.A7.3A39.4B15.B20.18B2A325.10B$20.A.AB.7B.BA.
A2.A.A8.A39.4B14.2A20.12B2A3B.B326.8B.B2A.A43.A.AB.7B.BA.A2.A.A8.A39.
4B14.2A20.12B2A3B.B326.8B.B2A.A$21.2AB.9B2A3.A.A49.2B15.A22.11B2A2B
328.7B3.B2AB3A42.2AB.9B2A3.A.A49.2B15.A22.11B2A2B328.7B3.B2AB3A$23.5B
A6B3.2A.3A65.3A19.10B2.2B329.6B6.B4.A43.5BA6B3.2A.3A65.3A19.10B2.2B
329.6B6.B4.A$23.4BABA6B3.B4.A66.A21.B.6B3.2B329.6B4.2A.3A44.4BABA6B3.
B4.A66.A21.B.6B3.2B329.6B4.2A.3A$23.4BABA6B.B2AB3A93.4B2.B2AB328.5B6.
A.A46.4BABA6B.B2AB3A93.4B2.B2AB328.5B6.A.A$25.3BA7B.B2A.A94.B2A2B3.2A
328.6B6.A.A48.3BA7B.B2A.A94.B2A2B3.2A328.6B6.A.A$26.12B99.2A335.6B7.A
50.12B99.2A335.6B7.A$26.13B434.7B58.13B434.7B$26.13B2A2.2A428.7B8.A
49.13B2A2.2A428.7B8.A$27.12BA.A2.A428.8B5.3A50.12BA.A2.A428.8B5.3A$
25.10B.2B.B.A.A429.8B4.A51.10B.2B.B.A.A429.8B4.A$25.2A3.6B4.2A.2A429.
8B3.2A50.2A3.6B4.2A.2A429.8B3.2A$26.A2.6B6.A432.3B2A2B2.4B51.A2.6B6.A
432.3B2A2B2.4B$23.3A4.6B3.A.A430.5B2A2B.3B50.3A4.6B3.A.A430.5B2A2B.3B
$23.A5.6B4.2A431.13B50.A5.6B4.2A431.13B$30.6B435.16B55.6B435.16B$29.
6B435.17B54.6B435.17B$30.6B435.16B55.6B435.16B$29.6B429.A7.15B54.6B
429.A7.15B$30.6B411.2A13.3A8.13B56.6B411.2A13.3A8.13B$29.6B411.B2AB6.
2A3.A12.11B8.A47.6B411.B2AB6.2A3.A12.11B8.A$30.6B411.3B5.B2AB2.2A7.
15B6.3A48.6B411.3B5.B2AB2.2A7.15B6.3A$29.6B413.B7.3B3.B4.20B3.A50.6B
413.B7.3B3.B4.20B3.A$30.6B410.5B3.2B.B4.25B3.2A50.6B410.5B3.2B.B4.25B
3.2A$29.6B409.4BA43B49.6B409.4BA43B$30.6B407.4BABA40B52.6B407.4BABA
40B$29.6B408.4BABA42B49.6B408.4BABA42B$30.6B408.4BA44B49.6B408.4BA44B
$29.6B411.47B48.6B411.47B$30.6B412.45B49.6B412.45B$29.6B413.13B.29B.B
2A46.6B413.13B.29B.B2A$30.6B413.12B2.8B.19B.BA.A46.6B413.12B2.8B.19B.
BA.A$29.6B413.13B6.23B5.A45.6B413.13B6.23B5.A$30.6B413.12B8.13B.7B5.
2A45.6B413.12B8.13B.7B5.2A$29.6B415.10B10.4B3.4B.3B.3B52.6B415.10B10.
4B3.4B.3B.3B$30.6B414.8B13.4B4.B3.3B2.2B52.6B414.8B13.4B4.B3.3B2.2B$
29.6B415.5B17.4B6.B2AB.B2AB50.6B415.5B17.4B6.B2AB.B2AB$30.6B413.6B18.
4B6.2A3.2A52.6B413.6B18.4B6.2A3.2A$29.6B414.7B18.4B63.6B414.7B18.4B$
30.6B414.5B20.4B63.6B414.5B20.4B$29.6B415.5B21.4B61.6B415.5B21.4B$30.
6B412.7B22.4B61.6B412.7B22.4B$29.6B408.2A2.8B23.4B59.6B408.2A2.8B23.
4B$30.6B406.A.A12B22.4B59.6B406.A.A12B22.4B$29.6B407.A3.11B23.4B57.6B
407.A3.11B23.4B$30.6B405.2A3.4B2A5B24.4B57.6B405.2A3.4B2A5B24.4B$29.
6B412.3B2A5B25.4B55.6B412.3B2A5B25.4B$30.6B411.10B26.4B55.6B411.10B
26.4B$29.6B413.9B27.4B13.A39.6B413.9B27.4B13.A$30.6B412.9B28.4B10.3A
40.6B412.9B28.4B10.3A$29.6B413.8B30.4B8.A42.6B413.8B30.4B8.A$30.6B
413.8B30.4B7.2A42.6B413.8B30.4B7.2A$29.6B415.6B32.4B3.5B41.6B415.6B
32.4B3.5B$30.6B414.6B4.2A27.4B2.3B44.6B414.6B4.2A27.4B2.3B$29.6B415.
6B4.A29.9B7.2A33.6B415.6B4.A29.9B7.2A$30.6B413.7B.BA.A30.8B8.A34.6B
413.7B.BA.A30.8B8.A$29.6B414.6B2.B2A32.10B3.B.A.2A30.6B414.6B2.B2A32.
10B3.B.A.2A$30.6B414.8B34.7B2A2B.B3A2.A31.6B414.8B34.7B2A2B.B3A2.A$
29.6B415.8B34.7B2A3BAB2.2A31.6B415.8B34.7B2A3BAB2.2A$30.6B413.8B35.
12B4A34.6B413.8B35.12B4A$29.6B414.7B34.2AB.7B3.2B.A33.6B414.7B34.2AB.
7B3.2B.A$30.6B413.6B27.B6.A.AB.7B2.B3A35.6B413.6B27.B6.A.AB.7B2.B3A$
29.6B413.7B25.2A2B5.A5.4B4.A37.6B413.7B25.2A2B5.A5.4B4.A$30.6B412.7B
24.BABA2B3.2A5.4B5.5A33.6B412.7B24.BABA2B3.2A5.4B5.5A$29.6B409.2B.8B
19.4B.2BA3B9.4B10.A32.6B409.2B.8B19.4B.2BA3B9.4B10.A$30.6B406.13B12.
4B2.12B8.4B9.A35.6B406.13B12.4B2.12B8.4B9.A$29.6B407.13B12.5B.11B8.4B
10.2A33.6B407.13B12.5B.11B8.4B10.2A$30.6B405.14B11.18B7.4B47.6B405.
14B11.18B7.4B$29.6B407.12B12.17B7.4B47.6B407.12B12.17B7.4B$30.6B405.
10B15.19B4.4B49.6B405.10B15.19B4.4B$29.6B404.B.11B11.B2.20B2.4B49.6B
404.B.11B11.B2.20B2.4B$30.6B402.2A14B.B5.30B51.6B402.2A14B.B5.30B$29.
6B403.2A43BA6B51.6B403.2A43BA6B$30.6B403.25B2A16BABA5B52.6B403.25B2A
16BABA5B$29.6B404.25B2A16BABA5B51.6B404.25B2A16BABA5B$30.6B407.40BA6B
52.6B407.40BA6B$29.6B408.2A40B.2B.B2A49.6B408.2A40B.2B.B2A$30.6B404.B
.B2A6B2.2B2.27B5.BA.A49.6B404.B.B2A6B2.2B2.27B5.BA.A$29.6B404.2A8B10.
4B2.7B3.8B9.A48.6B404.2A8B10.4B2.7B3.8B9.A$30.6B403.2AB.4B18.6B4.7B
10.2A48.6B403.2AB.4B18.6B4.7B10.2A$29.6B405.B3.2B21.3B6.6B59.6B405.B
3.2B21.3B6.6B$30.6B409.2B21.B6.6B61.6B409.2B21.B6.6B$29.6B409.B2AB28.
6B59.6B409.B2AB28.6B$30.6B409.2A28.6B61.6B409.2A28.6B$29.6B441.6B59.
6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.
6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.
6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.
6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.
6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.
6B439.6B$29.6B441.6B59.6B441.6B$30.6B103.2C334.6B61.6B103.2C334.6B$
29.6B105.C335.6B59.6B105.C335.6B$30.6B104.C.C332.6B61.6B104.C.C332.6B
$29.6B106.2C.B331.6B59.6B106.2C.B331.6B$30.6B108.B330.6B61.6B108.B
330.6B$29.6B109.B331.6B59.6B109.B331.6B$30.6B108.B330.6B61.6B108.B
330.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B
441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B
439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B
441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B
439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B
441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B
439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B
441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B
439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B
441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B
439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B
441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B
439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B
441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B
439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B
441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B
439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B
441.6B$29.7B439.6B60.7B439.6B$29.6B441.6B59.6B441.6B$22.A6.7B439.6B
53.A6.7B439.6B$16.A5.3A4.6B441.6B46.A5.3A4.6B441.6B$16.3A6.A3.7B439.
6B47.3A6.A3.7B439.6B$19.A4.2A3.6B441.6B49.A4.2A3.6B441.6B$18.2A4.B4.
7B439.6B49.2A4.B4.7B439.6B$18.8B3.6B441.6B48.8B3.6B441.6B$20.6B3.7B
439.6B51.6B3.7B439.6B$17.18B441.6B47.18B441.6B$13.B2.11B2D7B439.6B44.
B2.11B2D7B439.6B$12.15B2D6B441.6B42.15B2D6B441.6B$11.2A23B439.6B42.2A
23B439.6B$11.2AB.8B2A10B441.6B41.2AB.8B2A10B441.6B$12.B3.7BABAB2.7B
439.6B43.B3.7BABAB2.7B439.6B$18.6BAB3.6B441.6B48.6BAB3.6B441.6B$17.7B
5.7B439.6B48.7B5.7B439.6B$16.7B6.6B441.6B46.7B6.6B441.6B$15.4B.5B4.7B
439.6B46.4B.5B4.7B439.6B$14.4B5.2A4.6B441.6B44.4B5.2A4.6B441.6B$13.4B
6.A5.7B116.A322.6B44.4B6.A5.7B116.A322.6B$12.4B8.3A2.6B115.A.A323.6B
42.4B8.3A2.6B115.A.A323.6B$11.4B11.A2.7B115.2A322.6B42.4B11.A2.7B115.
2A322.6B$10.4B15.6B441.6B40.4B15.6B441.6B$9.4B16.7B439.6B40.4B16.7B
439.6B$8.4B17.6B441.6B27.C10.4B17.6B441.6B27.C$29.7B439.6B27.C32.7B
439.6B27.C$29.6B441.6B26.3C30.6B441.6B26.3C$29.7B439.7B59.7B439.7B$
29.6B441.6B59.6B441.6B$29.7B439.7B59.7B439.7B$29.6B441.6B59.6B441.6B$
29.7B439.7B59.7B439.7B$3C26.6B441.6B30.3C26.6B441.6B$2.C27.6B439.7B
32.C27.6B439.7B$.C27.6B441.6B17.4B10.C27.6B441.6B17.4B$30.6B439.7B16.
4B40.6B439.7B16.4B$29.6B441.6B15.4B40.6B441.6B15.4B$30.6B439.7B2.A11.
4B42.6B439.7B2.A11.4B$29.6B441.6B2.3A8.4B42.6B441.6B2.3A8.4B$30.6B
439.7B5.A6.4B44.6B439.7B5.A6.4B$29.6B441.6B4.2A5.4B44.6B441.6B4.2A5.
4B$30.6B439.7B4.5B.4B46.6B439.7B4.5B.4B$29.6B441.6B6.7B46.6B441.6B6.
7B$30.6B439.7B5.7B48.6B439.7B5.7B$29.6B142.A298.6B3.BA6B48.6B142.A
298.6B3.BA6B$30.6B139.A.A297.7B2.BABA7B3.B43.6B139.A.A297.7B2.BABA7B
3.B$29.6B141.2A298.10B2A8B.B2A41.6B141.2A298.10B2A8B.B2A$30.6B439.23B
2A42.6B439.23B2A$29.6B441.6B2D15B42.6B441.6B2D15B$30.6B439.7B2D11B2.B
44.6B439.7B2D11B2.B$29.6B441.18B47.6B441.18B$30.6B439.7B3.6B51.6B439.
7B3.6B$29.6B441.6B3.8B48.6B441.6B3.8B$30.6B439.7B4.B4.2A49.6B439.7B4.
B4.2A$29.6B441.6B3.2A4.A49.6B441.6B3.2A4.A$30.6B439.7B3.A6.3A47.6B
439.7B3.A6.3A$29.6B441.6B4.3A5.A46.6B441.6B4.3A5.A$30.6B439.7B6.A53.
6B439.7B6.A$29.6B441.6B59.6B441.6B$30.6B439.7B60.6B439.7B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B166.A
272.6B61.6B166.A272.6B$29.6B165.A.A273.6B59.6B165.A.A273.6B$30.6B165.
2A272.6B61.6B165.2A272.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.
6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.
6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.
6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.
6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.
6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.
6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.
6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B192.A248.6B59.
6B192.A248.6B$30.6B189.A.A247.6B61.6B189.A.A247.6B$29.6B191.2A248.6B
59.6B191.2A248.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B
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441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B
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441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B
439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B
441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B
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6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.
6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.
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$29.6B28.B2AB409.6B59.6B28.B2AB409.6B$30.6B6.B21.2B409.6B61.6B6.B21.
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6B18.4B.B2A403.6B48.2A10.7B4.6B18.4B.B2A403.6B$18.A9.8B3.7B2.4B10.8B
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5BABA16B2A25B205.A198.6B$21.5BABA16B2A25B203.A.A197.6B52.5BABA16B2A
25B203.A.A197.6B$21.6BA43B2A203.2A198.6B51.6BA43B2A203.2A198.6B$20.
30B5.B.14B2A402.6B51.30B5.B.14B2A402.6B$19.4B2.20B2.B11.11B.B404.6B
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6B$9.A13.4B27.9B237.A.A173.6B39.A13.4B27.9B237.A.A173.6B$24.4B26.10B
237.2A172.6B55.4B26.10B237.2A172.6B$25.4B25.5B2A3B412.6B55.4B25.5B2A
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3.A407.6B57.4B23.11B3.A407.6B$28.4B22.12BA.A406.6B59.4B22.12BA.A406.
6B$29.4B23.8B2.2A408.6B59.4B23.8B2.2A408.6B$30.4B22.7B412.6B61.4B22.
7B412.6B$31.4B21.5B415.6B61.4B21.5B415.6B$32.4B20.5B414.6B63.4B20.5B
414.6B$33.4B18.7B414.6B63.4B18.7B414.6B$21.2A3.2A6.4B18.6B413.6B52.2A
3.2A6.4B18.6B413.6B$20.B2AB.B2AB6.4B17.5B415.6B50.B2AB.B2AB6.4B17.5B
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3B.4B3.4B10.10B415.6B52.3B.3B.4B3.4B10.10B415.6B$14.2A5.7B.13B8.12B
413.6B45.2A5.7B.13B8.12B413.6B$15.A5.23B6.13B413.6B45.A5.23B6.13B413.
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47B411.6B$18.44BA4B408.6B49.44BA4B408.6B$19.42BABA4B408.6B49.42BABA4B
408.6B$21.40BABA4B407.6B52.40BABA4B407.6B$19.43BA4B260.A148.6B49.43BA
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19.3B14.6B2.B23.ABAB109.A9.2A5.4B6.2A$26.6B2A2B5.2A221.B3.15B16.6B13.
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6B407.4BABA40B52.6B407.4BABA40B$29.6B408.4BABA42B49.6B408.4BABA42B$
30.6B408.4BA44B49.6B408.4BA44B$29.6B411.47B48.6B411.47B$30.6B412.45B
49.6B412.45B$29.6B413.13B.29B.B2A46.6B413.13B.29B.B2A$30.6B413.12B2.
8B.19B.BA.A46.6B413.12B2.8B.19B.BA.A$29.6B413.13B6.23B5.A45.6B413.13B
6.23B5.A$30.6B413.12B8.13B.7B5.2A45.6B413.12B8.13B.7B5.2A$29.6B415.
10B10.4B3.4B.3B.3B52.6B415.10B10.4B3.4B.3B.3B$30.6B414.8B13.4B4.B3.3B
2.2B52.6B414.8B13.4B4.B3.3B2.2B$29.6B415.5B17.4B6.B2AB.B2AB50.6B415.
5B17.4B6.B2AB.B2AB$30.6B413.6B18.4B6.2A3.2A52.6B413.6B18.4B6.2A3.2A$
29.6B414.7B18.4B63.6B414.7B18.4B$30.6B414.5B20.4B63.6B414.5B20.4B$29.
6B415.5B21.4B61.6B415.5B21.4B$30.6B412.7B22.4B61.6B412.7B22.4B$29.6B
408.2A2.8B23.4B59.6B408.2A2.8B23.4B$30.6B406.A.A12B22.4B59.6B406.A.A
12B22.4B$29.6B407.A3.11B23.4B57.6B407.A3.11B23.4B$30.6B405.2A3.4B2A5B
24.4B57.6B405.2A3.4B2A5B24.4B$29.6B412.3B2A5B25.4B55.6B412.3B2A5B25.
4B$30.6B411.10B26.4B55.6B411.10B26.4B$29.6B413.9B27.4B13.A39.6B413.9B
27.4B13.A$30.6B412.9B28.4B10.3A40.6B412.9B28.4B10.3A$29.6B413.8B30.4B
8.A42.6B413.8B30.4B8.A$30.6B413.8B30.4B7.2A42.6B413.8B30.4B7.2A$29.6B
415.6B32.4B3.5B41.6B415.6B32.4B3.5B$30.6B414.6B4.2A27.4B2.3B44.6B414.
6B4.2A27.4B2.3B$29.6B415.6B4.A29.9B7.2A33.6B415.6B4.A29.9B7.2A$30.6B
413.7B.BA.A30.8B8.A34.6B413.7B.BA.A30.8B8.A$29.6B414.6B2.B2A32.10B3.B
.A.2A30.6B414.6B2.B2A32.10B3.B.A.2A$30.6B414.8B34.7B2A2B.B3A2.A31.6B
414.8B34.7B2A2B.B3A2.A$29.6B415.8B34.7B2A3BAB2.2A31.6B415.8B34.7B2A3B
AB2.2A$30.6B413.8B35.12B4A34.6B413.8B35.12B4A$29.6B414.7B34.2AB.7B3.
2B.A33.6B414.7B34.2AB.7B3.2B.A$30.6B413.6B27.B6.A.AB.7B2.B3A35.6B413.
6B27.B6.A.AB.7B2.B3A$29.6B413.7B25.2A2B5.A5.4B4.A37.6B413.7B25.2A2B5.
A5.4B4.A$30.6B412.7B24.BABA2B3.2A5.4B5.5A33.6B412.7B24.BABA2B3.2A5.4B
5.5A$29.6B409.2B.8B19.4B.2BA3B9.4B10.A32.6B409.2B.8B19.4B.2BA3B9.4B
10.A$30.6B406.13B12.4B2.12B8.4B9.A35.6B406.13B12.4B2.12B8.4B9.A$29.6B
407.13B12.5B.11B8.4B10.2A33.6B407.13B12.5B.11B8.4B10.2A$30.6B405.14B
11.18B7.4B47.6B405.14B11.18B7.4B$29.6B407.12B12.17B7.4B47.6B407.12B
12.17B7.4B$30.6B405.10B15.19B4.4B49.6B405.10B15.19B4.4B$29.6B404.B.
11B11.B2.20B2.4B49.6B404.B.11B11.B2.20B2.4B$30.6B402.2A14B.B5.30B51.
6B402.2A14B.B5.30B$29.6B403.2A43BA6B51.6B403.2A43BA6B$30.6B403.25B2A
16BABA5B52.6B403.25B2A16BABA5B$29.6B404.25B2A16BABA5B51.6B404.25B2A
16BABA5B$30.6B407.40BA6B52.6B407.40BA6B$29.6B408.2A40B.2B.B2A49.6B
408.2A40B.2B.B2A$30.6B404.B.B2A6B2.2B2.27B5.BA.A49.6B404.B.B2A6B2.2B
2.27B5.BA.A$29.6B404.2A8B10.4B2.7B3.8B9.A48.6B404.2A8B10.4B2.7B3.8B9.
A$30.6B403.2AB.4B18.6B4.7B10.2A48.6B403.2AB.4B18.6B4.7B10.2A$29.6B
405.B3.2B21.3B6.6B59.6B405.B3.2B21.3B6.6B$30.6B409.2B21.B6.6B61.6B
409.2B21.B6.6B$29.6B409.B2AB28.6B59.6B409.B2AB28.6B$30.6B409.2A28.6B
61.6B409.2A28.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B
441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B
439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B
441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B
439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B
441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B
103.2C334.6B61.6B103.2C334.6B$29.6B105.C335.6B59.6B105.C335.6B$30.6B
104.C.C332.6B61.6B104.C.C332.6B$29.6B106.2C.B331.6B59.6B106.2C.B331.
6B$30.6B108.B330.6B61.6B108.B330.6B$29.6B109.B331.6B59.6B109.B331.6B$
30.6B108.B330.6B61.6B108.B330.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B441.6B59.6B441.6B$29.7B439.6B60.7B439.6B$29.6B441.6B
59.6B441.6B$22.A6.7B439.6B53.A6.7B439.6B$16.A5.3A4.6B441.6B46.A5.3A4.
6B441.6B$16.3A6.A3.7B439.6B47.3A6.A3.7B439.6B$19.A4.2A3.6B441.6B49.A
4.2A3.6B441.6B$18.2A4.B4.7B439.6B49.2A4.B4.7B439.6B$18.8B3.6B441.6B
48.8B3.6B441.6B$20.6B3.7B439.6B51.6B3.7B439.6B$17.18B441.6B47.18B441.
6B$13.B2.11B2D7B439.6B44.B2.11B2D7B439.6B$12.15B2D6B441.6B42.15B2D6B
441.6B$11.2A23B439.6B42.2A23B439.6B$11.2AB.8B2A10B441.6B41.2AB.8B2A
10B441.6B$12.B3.7BABAB2.7B439.6B43.B3.7BABAB2.7B439.6B$18.6BAB3.6B
441.6B48.6BAB3.6B441.6B$17.7B5.7B439.6B48.7B5.7B439.6B$16.7B6.6B441.
6B46.7B6.6B441.6B$15.4B.5B4.7B439.6B46.4B.5B4.7B439.6B$14.4B5.2A4.6B
441.6B44.4B5.2A4.6B441.6B$13.4B6.A5.7B116.A322.6B44.4B6.A5.7B116.A
322.6B$12.4B8.3A2.6B115.A.A323.6B42.4B8.3A2.6B115.A.A323.6B$11.4B11.A
2.7B115.2A322.6B42.4B11.A2.7B115.2A322.6B$10.4B15.6B441.6B40.4B15.6B
441.6B$9.4B16.7B439.6B40.4B16.7B439.6B$8.4B17.6B441.6B27.C10.4B17.6B
441.6B27.C$29.7B439.6B27.C32.7B439.6B27.C$29.6B441.6B26.3C30.6B441.6B
26.3C$29.7B439.7B59.7B439.7B$29.6B441.6B59.6B441.6B$29.7B439.7B59.7B
439.7B$29.6B441.6B59.6B441.6B$29.7B439.7B59.7B439.7B$3C26.6B441.6B30.
3C26.6B441.6B$2.C27.6B439.7B32.C27.6B439.7B$.C27.6B441.6B17.4B10.C27.
6B441.6B17.4B$30.6B439.7B16.4B40.6B439.7B16.4B$29.6B441.6B15.4B40.6B
441.6B15.4B$30.6B439.7B2.A11.4B42.6B439.7B2.A11.4B$29.6B441.6B2.3A8.
4B42.6B441.6B2.3A8.4B$30.6B439.7B5.A6.4B44.6B439.7B5.A6.4B$29.6B441.
6B4.2A5.4B44.6B441.6B4.2A5.4B$30.6B439.7B4.5B.4B46.6B439.7B4.5B.4B$
29.6B441.6B6.7B46.6B441.6B6.7B$30.6B439.7B5.7B48.6B439.7B5.7B$29.6B
142.A298.6B3.BA6B48.6B142.A298.6B3.BA6B$30.6B139.A.A297.7B2.BABA7B3.B
43.6B139.A.A297.7B2.BABA7B3.B$29.6B141.2A298.10B2A8B.B2A41.6B141.2A
298.10B2A8B.B2A$30.6B439.23B2A42.6B439.23B2A$29.6B441.6B2D15B42.6B
441.6B2D15B$30.6B439.7B2D11B2.B44.6B439.7B2D11B2.B$29.6B441.18B47.6B
441.18B$30.6B439.7B3.6B51.6B439.7B3.6B$29.6B441.6B3.8B48.6B441.6B3.8B
$30.6B439.7B4.B4.2A49.6B439.7B4.B4.2A$29.6B441.6B3.2A4.A49.6B441.6B3.
2A4.A$30.6B439.7B3.A6.3A47.6B439.7B3.A6.3A$29.6B441.6B4.3A5.A46.6B
441.6B4.3A5.A$30.6B439.7B6.A53.6B439.7B6.A$29.6B441.6B59.6B441.6B$30.
6B439.7B60.6B439.7B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.
6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.
6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.
6B441.6B59.6B441.6B$30.6B166.A272.6B61.6B166.A272.6B$29.6B165.A.A273.
6B59.6B165.A.A273.6B$30.6B165.2A272.6B61.6B165.2A272.6B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B
59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B
61.6B439.6B$29.6B192.A248.6B59.6B192.A248.6B$30.6B189.A.A247.6B61.6B
189.A.A247.6B$29.6B191.2A248.6B59.6B191.2A248.6B$30.6B439.6B61.6B439.
6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.
6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.
6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.
6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.
6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.
6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.
6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.
6B$30.6B216.A222.6B61.6B216.A222.6B$29.6B215.A.A223.6B59.6B215.A.A
223.6B$30.6B215.2A222.6B61.6B215.2A222.6B$29.6B441.6B59.6B441.6B$30.
6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.
6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.
6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.
6B441.6B59.6B441.6B$30.6B439.6B61.6B439.6B$29.6B441.6B59.6B441.6B$30.
6B28.2A409.6B61.6B28.2A409.6B$29.6B28.B2AB409.6B59.6B28.B2AB409.6B$
30.6B6.B21.2B409.6B61.6B6.B21.2B409.6B$29.6B6.3B21.2B3.B405.6B59.6B6.
3B21.2B3.B405.6B$17.2A10.7B4.6B18.4B.B2A403.6B48.2A10.7B4.6B18.4B.B2A
403.6B$18.A9.8B3.7B2.4B10.8B2A404.6B48.A9.8B3.7B2.4B10.8B2A404.6B$18.
A.AB5.27B2.2B2.6B2AB.B404.6B49.A.AB5.27B2.2B2.6B2AB.B404.6B$19.2AB.2B
.40B2A408.6B49.2AB.2B.40B2A408.6B$21.6BA40B407.6B52.6BA40B407.6B$21.
5BABA16B2A25B205.A198.6B51.5BABA16B2A25B205.A198.6B$21.5BABA16B2A25B
203.A.A197.6B52.5BABA16B2A25B203.A.A197.6B$21.6BA43B2A203.2A198.6B51.
6BA43B2A203.2A198.6B$20.30B5.B.14B2A402.6B51.30B5.B.14B2A402.6B$19.4B
2.20B2.B11.11B.B404.6B49.4B2.20B2.B11.11B.B404.6B$18.4B4.19B15.10B
405.6B49.4B4.19B15.10B405.6B$17.4B7.17B12.12B407.6B47.4B7.17B12.12B
407.6B$16.4B7.18B11.14B405.6B47.4B7.18B11.14B405.6B$3.2A10.4B8.11B.5B
12.13B407.6B33.2A10.4B8.11B.5B12.13B407.6B$4.A9.4B8.12B2.4B12.13B406.
6B35.A9.4B8.12B2.4B12.13B406.6B$2.A10.4B9.3BA2B.4B19.8B.2B409.6B32.A
10.4B9.3BA2B.4B19.8B.2B409.6B$2.5A5.4B5.2A3.2BABAB24.7B412.6B33.5A5.
4B5.2A3.2BABAB24.7B412.6B$7.A4.4B5.A5.2B2A25.7B413.6B37.A4.4B5.A5.2B
2A25.7B413.6B$4.3AB2.7B.BA.A6.B27.6B413.6B35.3AB2.7B.BA.A6.B27.6B413.
6B$3.A.2B3.7B.B2A34.7B414.6B33.A.2B3.7B.B2A34.7B414.6B$3.4A12B35.8B
413.6B34.4A12B35.8B413.6B$.2A2.BA3B2A7B34.8B415.6B31.2A2.BA3B2A7B34.
8B415.6B$A2.3AB.2B2A7B34.8B414.6B31.A2.3AB.2B2A7B34.8B414.6B$2A.A.B3.
10B32.2AB2.6B414.6B30.2A.A.B3.10B32.2AB2.6B414.6B$3.A8.8B30.A.AB.7B
413.6B34.A8.8B30.A.AB.7B413.6B$3.2A7.9B29.A4.6B415.6B33.2A7.9B29.A4.
6B415.6B$13.3B2.4B27.2A4.6B414.6B44.3B2.4B27.2A4.6B414.6B$11.5B3.4B
32.6B415.6B41.5B3.4B32.6B415.6B$11.2A7.4B30.8B413.6B42.2A7.4B30.8B
413.6B$12.A8.4B30.8B413.6B42.A8.4B30.8B413.6B$9.3A10.4B28.9B239.A172.
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Looking at the above, it seems vaguely possible that someone might manage to pack all of the circuitry for a metacell into a 256x256 space -- if no metapixel area is required, and especially if the metacell only has to support the rules needed by the QfT computer -- B/S, B1/S, B2/S, and B12/S1.

It would have to be pretty dense circuitry, though, especially for B12/S1. It probably wouldn't use MWSSes around the edges. Keeping all the signals as gliders would take up less space. But then with all the signals going diagonally, it might be harder to build, and also harder to see how the mechanism works.

So I think 512x512 is probably a good target for the first reduced Hashlife-friendly metacell. There should be enough room for all the circuitry, including the state table needed to support any outer totalistic Life-like rule. Maybe about a quarter of the metacell would be available for a pixel area. That's enough to be visible until the view is zoomed out pretty far. If we design it right, it should be easy to expand the metacell later to 1024x1024, and then more than half of the area could be metapixel fill.

Next Step?
One possible next mission, should someone choose to accept it, could be to fix the polling circuitry -- i.e., the loop that runs around the outside of the cell past the eight still life locations marked in red, to count how many neighbors have sent signals saying "I'm alive". Right now there's no way for glider signals to get from the middle of each metacell, out to where they need to be (white glider locations) to trigger the glider-stopping and MWSS-stopping circuits.

Fixing that is just a matter of moving things around a little, making sure that there are eight clear output lanes from the metacell that line up with the eight inputs in eight neighboring copies of the metacell. If anyone wants to give that a try, please post your intention here.

After that we have to make a circuit that takes up as little space as possible, that splits the metacell's ON state signal into eight signals and routes them to those eight outputs.

Better Blueprint?
Or maybe a significantly different design would be better -- octagonal or diamond-shaped, maybe, or with the polling signals making the rounds in the form of Herschels, or I don't know what. The polling circuit doesn't really have to run around the outside. The eight incoming state signals could be routed to a central bank of "stopper" circuits instead. The above design mindlessly mimics OTCA metapixel's polling -- but I do like the way that looks.

Anyone have an alternate design, preferably in the form of an actual pattern? Vague hand-waving ideas are likely to get ignored at this point (at least by me). It's time to buckle down and start building things.
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Re: Quest-for-Tetris Challenges

Postby dvgrn » September 20th, 2017, 6:56 am

After looking at how much space the glider-to-MWSS converters take up in a 512x512 metacell, I'm definitely tempted to switch to a roughly octagonal metacell blueprint, and forget about MWSSes -- they're nice, but not necessary. Chains of Snarks can carry glider signals orthogonally perfectly well, and maybe more to the point so can chains of Herschel conduits. A glider from a neighboring cell can be routed in to make a boat-bit to stop a Herschel, just as easily as the glider- and MWSS-stopping mechanisms in the above prototype.

When I can find some more time I'll throw together another blueprint that uses that idea. This time I should probably include connections between neighboring metacells that actually work, and also at least the p2^N drive gun.

Meanwhile, I went back to 2007 emails and dug up a very slow "liquid crystal" pixel display design that might be worth thinking about, especially if just a small central area in the new metacell is reserved for the state display. If Golly is running the larger pattern at a step size of one metatick (whatever that is) then it doesn't matter much how long it takes to turn a pixel ON or OFF. Just have to pick a phase where the transition is complete.

#C Liquid-crystal metapixel display sample --
#C   two p2^N guns turn extensible rows of half-beehives ON and OFF.
#C One cycle takes 262,144 ticks; Golly/hashlife strongly recommended,
#C   with a step size around 8^4.
x = 635, y = 893, rule = B3/S23
374b2o$374b2o5b2o$381b2o2$360bo$350b2o8b3o16b2o$350b2o11bo15b2o$362b2o
21b2o$385b2o$344b2o$344b2o20b2o$348b2o16bobo$348b2o16bo4$343b2o$343b2o
41b2o$386bo$384bobo$384b2o11$390b2o$366bo2bo20b2o$365bo3bo$365bo4bo$
365bo4bo$327bo38bo3bo14b2o$327b3o37bobo15b2o$330bo58b2o$329b2o7bo50b2o
$337bo6b2o2b2o$337b3o4bo3b2o21b2o$342bobo9b2o15bo11b2o$331bo10b2o10b2o
16b3o8b2o$330bobo41bo$238bo91bobo$238b3o84b2o4bo20b2o$241bo82bobo15b2o
8b2o5b2o$240b2o71b3o8bo17bobo14b2o$253bo58bo10b2o19bo$214b2o13bo21b3o
58bo3bo27b2o$215bo11b3o20bo61bo2bobo$214bo11bo23b2o62bobo2bo$214b2o10b
2o54bo32bo3bo$265bo15bobo35bo56bo$236b2o25b3o16bo22bo10b3o57b3o$236b2o
24bo40b3o15bo11b2o44bo$262b2o16b5o17bo17bobo10b2o43b2o$198bo81bo4bo16b
2o17b2o22bo$198b3o82bo2bo30b2o25bobo$201bo66b2o13b2obo2bo26bobo26bo$
200b2o66b2o10bo5bobobo25bo5b2o$279bobo4bo2bo25b2o5b2o19b5o$279bo2bo2b
2o56bo4bo$280b2o64bo2bo$231b2o113b2obo2bo$231b2o26b2o13b2o67bo5bobobo$
259b2o13b2o66bobo4bo2bo$342bo2bo2b2o$343b2o2$323b2o23b2o$196b2o36b2o
87b2o23bo$195bobo16b2o19bo110bobo$195bo18bobo17bo111b2o$194b2o20bo17b
2o$210b2o4b2o$210bobo$212bo55b2o17b2o$203b2o7b2o54b2o17bo5b2o$203b2o
83b3obobo$290bobo7b2o$188b2o101b2o7b2o$189bo119bo37b2o$189bobo115b3o
37b2o$190b2o114bo86bo$306b2o10b2o73b3o$294bo24bo76bo23b2o$294b3o19b3o
13b2o61b2o23bo$297bo18bo15bo85bobo$296b2o22bo12bo42bo37b2o2b2o$265bo
54b3o9b2o42b3o35b2o$264bobo15bo40bo30b2o23bo$242bo22bo16b3o25b2o10b2o
31bo6b2o14b2o11b2o$214bo27b3o40bo24b2o43bobo4b2o27b2o$212b3o30bo17b5o
16b2o64b2o4b2o$188b2obo19bo32b2o16bo4bo82bobo$188bob2o19b2o48bo2bo83bo
bob3o$217bo40bo2bob2o13b2o64b2o2b2o5bo$215b3o39bobobo5bo10b2o64b2o8b2o
$214bo43bo2bo4bobo$214b2o45b2o2bo2bo$266b2o98b2o52b2o$315b2o49b2o34b2o
16bobo$287b2o26b2o84bobo18bo$287b2o112bo20b2o$400b2o4b2o$217b2o186bobo
$217b2o186bo$404b2o7b2o13bo$198b2o112b2o77b2o20b2o12bobo$197bobo112bo
19b2o57bo35bobo$197bo115bo17bobo58b3o31b2ob3o$196b2o114b2o17bo62bo37bo
$210b2o118b2o94b2ob3o$210bo16b2o197b2obo$211b3o14bo30b2o17b2o$213bo11b
3o25b2o5bo17b2o$225bo27bobob3o$246b2o7bobo86b2o17b2o$246b2o7b2o87b2o
17bobo$238bo117b2o7bo$238b3o116bo7b2o$241bo112b3o$240b2o112bo2$328b2o$
329bo105b2o$326b3o55b2o49bo$326bo58bo47bobo$385bobo41b2o2b2o$386b2o41b
2o4$428b2o$428b2o4b2o$434b2o8$440b2o$440bo$410b2o26bobo$410b2o26b2o6$
450bo$449bobo$449bobo$448b2ob3o$454bo$448b2ob3o$420b2o15b2o9b2obo$419b
obo15b2o$419bo$418b2o9$457b2o$406b2o49bo$407bo47bobo$407bobo41b2o2b2o$
408b2o41b2o4$450b2o$450b2o4b2o$456b2o8$462b2o$462bo$432b2o26bobo$432b
2o26b2o6$472bo$471bobo$471bobo$470b2ob3o$476bo$470b2ob3o$442b2o15b2o9b
2obo$441bobo15b2o$441bo$440b2o9$479b2o$428b2o49bo$429bo47bobo$429bobo
41b2o2b2o$430b2o41b2o4$472b2o$472b2o4b2o$478b2o8$484b2o$484bo$454b2o
26bobo$454b2o26b2o6$494bo$493bobo$493bobo$492b2ob3o$498bo$492b2ob3o$
464b2o15b2o9b2obo$463bobo15b2o$463bo$462b2o9$501b2o$450b2o49bo$451bo
47bobo$451bobo41b2o2b2o$452b2o41b2o4$494b2o$494b2o4b2o$500b2o8$506b2o$
506bo$476b2o26bobo$476b2o26b2o6$516bo$515bobo$515bobo$514b2ob3o$520bo$
514b2ob3o$486b2o15b2o9b2obo$485bobo15b2o$485bo$484b2o9$523b2o$472b2o
49bo$473bo47bobo$473bobo41b2o2b2o$474b2o41b2o4$516b2o$516b2o4b2o$522b
2o8$528b2o$528bo$498b2o26bobo$498b2o26b2o6$538bo$537bobo$537bobo$536b
2ob3o$542bo$536b2ob3o$508b2o15b2o9b2obo$507bobo15b2o$507bo$506b2o9$
545b2o$494b2o49bo$495bo47bobo$495bobo41b2o2b2o$496b2o41b2o4$538b2o$
538b2o4b2o$544b2o8$550b2o$550bo$520b2o26bobo$520b2o26b2o6$560bo$559bob
o$559bobo$558b2ob3o$564bo$558b2ob3o$530b2o15b2o9b2obo$529bobo15b2o$
529bo$528b2o4$49b2o2$47bo3bo$47bo4bo$49bobobo8bo$50bobobo5b3o504b2o$
51bo4bo2bo456b2o49bo$52bo3bo2b2o456bo47bobo$517bobo41b2o2b2o$53b2o2bo
460b2o41b2o$56bobo$57b2o2b2o$49bo11b2o$47b3o510b2o$46bo513b2o4b2o$46b
2o518b2o$36b2o$37bo$37bobo$38b2o4b2o38bo$43bo2bo35b3o7bo$44b2o35bo8b3o
$56b2o23b2o6bo$56b2o31b2o481b2o$572bo$542b2o26bobo$542b2o26b2o2$38b3o$
40bo$39bo$42b2o3b2o44b2o$16b2o25bo3bo20b2o23b2o487bo$9b2o5b2o22b3o5b3o
18bo13b2o496bobo$9b2o29bo9bo15b3o8b2o4b2o496bobo$66bo11bo501b2ob3o$75b
3o508bo$11b2o27b2o33bo504b2ob3o$11b2o27b2o510b2o15b2o9b2obo$5b2o544bob
o15b2o$5b2o544bo$46b2o502b2o$46b2o$42b2o32b2o37b2o$42b2o31bobo37bo$75b
o40b3o$74b2o7b2o33bo$83b2o$47b2o$4b2o41b2o$5bo583b2o$5bobo530b2o49bo$
6b2o531bo47bobo$539bobo41b2o2b2o$540b2o41b2o$34bo$12b2o20bo$12bobo18bo
bo$12bo569b2o$35b2o38b2o505b2o4b2o$41b2o33bo511b2o$35b2o4bobo32bobo$
43bo33b2o14b2o$2o41b2o48bo$2o89bobo11b2o$54b2o35b2o12bo$55bo47bobo$55b
obo41b2o2b2o$5b2o27bo21b2o41b2o493b2o$5b2o28bo558bo$b2o31bo529b2o26bob
o$b2o561b2o26b2o$42b2o54b2o$19b2o21b2o54b2o4b2o$7b2o11bo15b2o66b2o$7b
2o8b3o16b2o$17bo$604bo$38b2o563bobo$31b2o5b2o563bobo$31b2o569b2ob3o$
608bo$110b2o490b2ob3o$110bo463b2o15b2o9b2obo$108bobo462bobo15b2o$108b
2o463bo$572b2o2$137b2o$137bo$138b3o$140bo4$611b2o$560b2o49bo$90b2o15b
2o452bo47bobo$89bobo15b2o452bobo41b2o2b2o$89bo472b2o41b2o$88b2o3$604b
2o$97b2o505b2o4b2o$98bo511b2o$98bobo$99b2o14b2o$115bo$113bobo11b2o$76b
2o35b2o12bo$77bo47bobo$77bobo41b2o2b2o$78b2o41b2o493b2o$616bo$586b2o
26bobo$586b2o26b2o$120b2o$120b2o4b2o$126b2o3$626bo$625bobo$625bobo$
624b2ob3o$630bo$132b2o490b2ob3o$132bo463b2o15b2o9b2obo$130bobo462bobo
15b2o$130b2o463bo$594b2o2$159b2o$159bo$160b3o$162bo4$633b2o$582b2o49bo
$112b2o15b2o452bo47bobo$111bobo15b2o452bobo41b2o2b2o$111bo472b2o41b2o$
110b2o3$626b2o$119b2o505b2o4b2o$120bo511b2o$120bobo$121b2o14b2o$137bo$
135bobo11b2o$98b2o35b2o12bo$99bo47bobo$99bobo41b2o2b2o$100b2o41b2o2$
608b2o$608b2o$142b2o$142b2o4b2o$148b2o5$631b2o$630bo2bo$631b2o$154b2o$
154bo$152bobo$152b2o3$181b2o$181bo$182b3o$184bo6$134b2o15b2o$133bobo
15b2o$133bo$132b2o4$141b2o$142bo$142bobo$143b2o14b2o$159bo$157bobo11b
2o$120b2o35b2o12bo$121bo47bobo$121bobo41b2o2b2o$122b2o41b2o4$164b2o$
164b2o4b2o$170b2o8$176b2o$176bo$174bobo$174b2o3$203b2o$203bo$204b3o$
206bo6$156b2o15b2o$155bobo15b2o$155bo$154b2o4$163b2o$164bo$164bobo$
165b2o14b2o$181bo$179bobo11b2o$142b2o35b2o12bo$143bo47bobo$143bobo41b
2o2b2o$144b2o41b2o4$186b2o$186b2o4b2o$192b2o8$198b2o$198bo$196bobo$
196b2o3$225b2o$225bo$226b3o$228bo6$178b2o15b2o$177bobo15b2o$177bo$176b
2o4$185b2o$186bo$186bobo$187b2o14b2o$203bo$201bobo11b2o$164b2o35b2o12b
o$165bo47bobo$165bobo41b2o2b2o$166b2o41b2o4$208b2o$208b2o4b2o$214b2o8$
220b2o$220bo$218bobo$218b2o3$247b2o$247bo$248b3o$250bo6$200b2o15b2o$
199bobo15b2o$199bo$198b2o4$207b2o$208bo$208bobo$209b2o14b2o$225bo$223b
obo11b2o$186b2o35b2o12bo$187bo47bobo$187bobo41b2o2b2o$188b2o41b2o4$
230b2o$230b2o4b2o$236b2o8$242b2o$242bo$240bobo$240b2o3$269b2o$269bo$
270b3o$272bo6$222b2o15b2o$221bobo15b2o$221bo$220b2o4$229b2o$230bo$230b
obo$231b2o14b2o$247bo$245bobo11b2o$208b2o35b2o12bo$209bo47bobo$209bobo
41b2o2b2o$210b2o41b2o4$252b2o$252b2o4b2o$258b2o8$264b2o$264bo$262bobo$
262b2o3$291b2o$291bo$292b3o$294bo6$244b2o15b2o$243bobo15b2o$243bo$242b
2o4$251b2o$252bo$252bobo$253b2o14b2o$269bo$267bobo11b2o$230b2o35b2o12b
o$231bo47bobo$231bobo41b2o2b2o$232b2o41b2o4$274b2o$274b2o4b2o$280b2o8$
286b2o$286bo$284bobo$284b2o3$313b2o$313bo$314b3o$316bo6$266b2o15b2o$
265bobo15b2o$265bo$264b2o4$273b2o$274bo$274bobo$275b2o14b2o$291bo$289b
obo11b2o$252b2o35b2o12bo$253bo47bobo$253bobo41b2o2b2o$254b2o41b2o4$
296b2o$296b2o4b2o$302b2o19$301b2o$300bo2bo$301b2o!
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Re: Quest-for-Tetris Challenges

Postby dvgrn » September 22nd, 2017, 2:58 pm

Bother. Nobody seems to have picked up my nice step-by-step outline for how to build a smaller and Hashlife-friendly metacell.

I'm not really any good at circuit design myself -- the first several rounds usually end up doing something silly like NOT (NOT A OR NOT B) when what's needed is just A AND B. So as I start putting pieces together, it might be good if someone could suggest simpler mechanisms when they're available, to keep my inner Rube Goldberg in check.

The Hard Part
Really the only complicated circuit in a stable-circuitry metacell is the counter. I've re-thought it a little, and it seems like we need a mechanism that

1) is set to a count of 0 as of the start of each cycle.
2) accepts a stream of 0 to 8 gliders, each of which basically means INCREMENT COUNTER.
3) accepts a final signal that comes some unknown time later, which means READ AND RESET.
(Or this could be two separate signals, READ and RESET).
4) A glider comes out of the mechanism, at a different location for each of the neighbor counts 0..7.
5) The glider passes through a bank of eaters that encodes the rule table.
If an eater is present, then that neighbor count should allow a birth/survival,
so the suppressing signal does not get through
(unless there's some good reason to reverse the logic here.)
6) If the neighbor-count signal does get through the eater bank, then it stops a synchronized signal that would otherwise escape to become an ON signal.
7) At the beginning of the next cycle, the ON signal (if present) sends signals to all neighbor cells, then gets stored somewhere until it's needed for step #5 on the next metatick.

Calcyman Strikes Again?
Possibly the easiest design here would be the trick Calcyman used for the P1 megacell. If the metacell's ON signal shows up at the beginning of a cycle, send nine signals to the counter right away -- and make the counter able to count from 0 to 17. Then the eater table for S simply follows the eater table for B, in one long line.

The only drawback with this is that we don't have any really compact stable ladder circuits yet, either orthogonal or diagonal. If we use slide guns, then the guns will take up a lot of space, and otherwise the ladder circuit will.

The ladder circuit's output has to be synchronized with the new output ON signal, which means it's easiest if the ladder is in one long straight line.**

Horizontal or Diagonal?
If we ditch the orthogonal ladder circuit idea on the theory that it still takes up too much room, what's the simplest and smallest diagonal ladder circuit that allows a glider to push a marker still life some distance?

It has to be push and not pull, or the synchronized ON-signal suppression idea won't work. Though of course I'd be very happy if someone would invent a better alternative for that -- synchronized signals get expensive fast.

Hard-Wiring Or No Hard-Wiring, That Is The Question
The ladder circuit(s) can be a lot shorter if we decide not to bother making a metacell that can emulate any Life-like rule. We really only need up to B3 and S3 to emulate Life, or B2 and S1 to handle every kind of Quest-for-Tetris VarLife cell.

But then the top of the ladder circuit has to be a loop that rebuilds the key still life in the same place it started, but still produces the same output glider when needed. It's not clear it would be much fun to invent something like that, when it would just put unnecessary limits on the metacell's programmability anyway.

** Footnote About Bending Ladder Circuits
If the ladder is bent in the middle between the B outputs and the S outputs, I think that might not be too bad -- just a single Snark reflector on the ladder circuit, and three Snarks on the ON-signal circuit, assuming it's traveling on the inside of the ladder. Vice versa otherwise.

x = 103, y = 93, rule = LifeHistory
69.D$69.D$69.D$69.D$69.D$67.2AD$66.A.AD$68.AD$69.D$69.D$69.D$69.D$69.
D$69.D$69.D$69.D$69.D$69.D$69.D$69.D$69.D$69.D$69.D$69.D$69.D$69.D$
69.D$69.D$69.D$69.D$69.D$69.D$69.D$69.D$69.D$69.D$69.D$69.D$55.2A12.D
$54.A.A12.D$48.2A4.A14.D$46.A2.A2.2A.4A10.D$46.2A.A.A.A.A2.A10.D$49.A
.ABABAB12.D$49.A.AB2AB13.D$50.AB.2B14.D$53.3B13.D$53.4B6.2A4.D$51.3B
2AB6.A5.D$23.B12.A13.4B2AB3.BA.A5.D$22.2B12.3A10.10B.B2A6.D$21.3B15.A
8.13B8.D$20.4B14.2A7.14B8.D$19.4B15.5B3.15B8.D$18.4B18.3B2.4B2.8B10.D
$17.4B9.2A7.9B5.6B10.D$16.4B10.A8.8B4.9B8.BD$3.2A10.4B8.2A.A.B3.10B5.
2A4.4B6.2AD$4.A9.4B9.A2.3AB.2B2A7B6.A5.4B4.ABAD$2.A10.4B11.2A2.BA3B2A
7B3.3A7.4B2.3BAD$2.5A5.4B5.2A7.4A12B3.A10.8B.D$7.A4.4B5.A8.A.2B3.7B.B
2A.A11.6B2.D$4.3AB2.7B.BA.A9.3AB2.7B.BA.A.2A.2A.A5.4B3.D$3.A.2B3.7B.B
2A13.A3.5B5.A2.A.A.2A4.6B2.D$3.4A12B10.5A5.4B5.3A2.A6.8B.D$.2A2.BA3B
2A7B10.A10.4B7.3A5.4B2.4BD$A2.3AB.2B2A7B12.A9.4B5.A7.4B4.4B$2A.A.B3.
10B11.2A10.4B4.2A5.4B6.4B$3.A8.8B23.9B4.4B8.4B$3.2A7.9B23.6B5.4B10.4B
$13.3B2.4B22.8B2.4B12.4B$11.5B3.4B19.15B14.4B$11.2A7.4B18.14B16.4B$
12.A8.4B17.13B18.4B$9.3A10.4B14.2AB.10B20.4B$9.A13.4B12.A.AB3.B2A3B
23.4B$24.4B11.A6.B2A3B24.4B$25.4B9.2A6.4B27.4B$26.4B17.3B28.4B$27.4B
17.2B.BA26.4B$28.4B15.B2ABA.A26.4B$29.4B13.BABABA.A27.4B$30.4B10.A2.A
.A.A.A.2A25.4B$31.4B9.4A.2A2.A2.A26.4B$32.4B12.A4.2A29.4B$33.4B9.A.A
36.4B$34.4B8.2A38.4B$35.4B48.4B$36.4B48.4B$26.77D$39.3A48.B3A$39.A51.
A$40.A51.A!

It's difficult to get the initial still life to the right place in the ladder when you're moving around a corner from position 8 to position 9, though. Might be easier to just initialize a different ladder depending on whether the metacell is ON or OFF. If I don't think about it too hard, it seems as if that might work.
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Re: Quest-for-Tetris Challenges

Postby dvgrn » September 23rd, 2017, 7:29 pm

dvgrn wrote:I'm not really any good at circuit design myself -- the first several rounds usually end up doing something silly like NOT (NOT A OR NOT B) when what's needed is just A AND B. So as I start putting pieces together, it might be good if someone could suggest simpler mechanisms when they're available, to keep my inner Rube Goldberg in check.

Well, that sure turned out to be true.

One more quick review:

I wanted a ladder circuit that could be controlled by just one or two synchronized signals (gliders or possibly MWSSes), and where each "rung" of the ladder was a good distance from the last one. That way, programming the counter's output for a specific B*/S* rule is just a matter of adjusting an evenly-spaced array of eaters, as in the OTCA metapixel and the p1 megacell.

Best New Effort So Far
I've had a lot of trouble finding reasonably well-packed ladder mechanisms, either orthogonal or diagonal. Here's the best packing I could manage for a diagonal design. To get it, I had to go dig up some truly ancient technology:
Paul Callahan's bistable switch from 1994.

x = 745, y = 815, rule = LifeHistory
51.4B$52.4B$53.4B$54.4B$55.4B$56.4B$57.4B$58.4B9.2C2.C2.C$59.4B7.C2.C
.2C.C$60.4B6.C2.C.2C.C$61.4B5.C2.C.C.2C$62.4B5.2C2.C2.C$63.4B$64.4B$
65.4B$66.4B$67.4B$68.4B$69.4B$70.4B$71.4B$72.4B$73.4B$74.4B$75.4B$76.
4B$77.4B$78.3B$79.2B$80.B9$98.2C$97.C2.C$97.C2.C$97.C2.C$97.C2.C$97.C
2.C$97.C2.C$98.2C2$43.2A$42.A.A47.2A$36.2A4.A49.A$34.A2.A2.2A.4A43.A.
A$34.2A.A.A.A.A2.A44.A$37.A.A.A.A$37.A.A.2A$38.A23.2A$62.A.A$51.2A10.
A.A$42.2A7.A13.A2.A$42.2A5.A.A12.2A.A.A$49.2A14.A2.A$63.A.A$63.2A2$
67.2A$67.2A2$39.2A$40.A$37.3A$37.A2.3A$39.A2.A71.2A$38.2A2.A.A69.A$
43.2A67.A.A$9.A103.A$9.3A$12.A48.2A$11.2A48.A.A20.2A$62.A21.A.A$85.A.
A$3.2A82.A2.A$3.A82.2A.A.A$2A.A83.A2.A$A2.3A4.2A73.A.A$.2A3.A3.2A73.
2A$3.4A690.A$3.A15.2A68.2A606.A.A$4.3A12.A.A67.2A606.2A$7.A13.A29.2A$
2.5A14.2A29.A$2.A46.3A$4.A44.A$3.2A$136.2A$136.A$134.A.A$134.2A2$83.
2A$83.A.A20.2A$84.A21.A.A$107.A.A$109.A2.A$108.2A.A.A$109.A2.A$107.A.
A$107.2A2$111.2A$111.2A$73.2A$74.A$71.3A$71.A2$158.2A$158.A$156.A.A$
156.2A$663.A$105.2A556.A.A$105.A.A20.2A533.2A$106.A21.A.A$129.A.A$
131.A2.A$130.2A.A.A$131.A2.A$129.A.A$129.2A2$133.2A$133.2A$95.2A$96.A
$93.3A$93.A2$180.2A$180.A$178.A.A$179.A2$127.2A$127.A.A20.2A$128.A21.
A.A$151.A.A$153.A2.A$152.2A.A.A$153.A2.A$151.A.A$151.2A2$155.2A$155.
2A472.A$117.2A510.A.A$118.A510.2A$115.3A$115.A2$202.2A$202.A$200.A.A$
201.A2$149.2A$149.A.A20.2A$150.A21.A.A$173.A.A$175.A2.A$174.2A.A.A$
175.A2.A$173.A.A$173.2A2$177.2A$177.2A$139.2A$140.A$137.3A$137.A2$
224.2A$224.A$222.A.A$223.A2$171.2A$171.A.A20.2A399.A$172.A21.A.A398.A
.A$195.A.A397.2A$197.A2.A$196.2A.A.A$197.A2.A$195.A.A$195.2A2$199.2A$
199.2A$161.2A$162.A$159.3A$159.A2$246.2A$246.A$244.A.A$245.A2$193.2A$
193.A.A20.2A$194.A21.A.A$217.A.A$219.A2.A$218.2A.A.A$219.A2.A$217.A.A
$217.2A59.2C$277.C2.C$221.2A54.C2.C$221.2A54.C2.C$183.2A93.2C$184.A
92.C2.C280.A$181.3A93.C2.C280.A.A$181.A95.C2.C280.2A$278.2C$268.2A$
268.A$266.A.A$267.A2$215.2A$215.A.A20.2A$216.A21.A.A$239.A.A$241.A2.A
$240.2A.A.A$241.A2.A$239.A.A$239.2A2$243.2A$243.2A$205.2A$206.A$203.
3A$203.A7$237.2A$237.A.A20.2A$238.A21.A.A$261.A.A263.A$263.A2.A260.A.
A$262.2A.A.A259.2A$263.A2.A$261.A.A$261.2A4$227.2A$228.A$225.3A$225.A
3$219.2A$220.A$220.A.A$210.A10.2A$208.3A$207.A$207.2A$192.2A48.2A$
193.A48.2A16.2A$193.A.2A63.2A$194.A2.A66.A$195.2A47.2A14.5A$210.2A33.
A13.A$210.2A33.A.A12.3A$246.2A15.A$260.4A$255.2A3.A3.2A$219.A3.2A30.
2A4.3A2.A$218.A.A3.A38.A.2A$217.A.A3.A39.A229.A$213.2A.A.A3.A39.2A
229.A.A$213.2A.A2.4A.A268.2A$217.A.A3.A.A6.2A$213.2A.2A2.A2.A.A6.2A
20.2A$214.A.A2.2A3.A29.A148.2A$202.2A10.A.A38.3A144.A.A$202.2A11.A41.
A138.2A4.A$261.A132.A2.A2.2A.4A$252.A7.A.A131.2A.A.A.A.A2.A$212.2A38.
3A6.A135.A.A.A.A$213.A41.A15.2A124.A.A.2A$213.A.A38.2A14.A.A125.A$
214.2A2.2A50.2A$218.2A54.2A135.2A$274.A.A125.2A7.A$276.A9.2A114.2A5.A
.A$276.2A7.A2.A120.2A$247.2A22.2A12.A.A$247.2A22.2A10.2A2.2A$282.A2.
2A$282.2A3.2A$287.A$288.A$285.3A111.2A$212.2A36.2A6.2A25.A114.A$211.A
.A16.2A19.A6.2A137.3A$211.A18.A.A15.3A125.A20.A$210.2A20.A15.A23.2A
102.3A$232.2A22.2A14.A.A104.A$255.A.A16.A103.2A$255.A18.2A26.2A$254.
2A46.2A123.2A$223.2A202.A$223.2A61.2A141.A29.A$249.2A36.A121.2A14.5A
29.A.A$248.A2.A2.2A31.A.A120.A13.A34.2A$249.2A2.A.A32.2A98.2A20.A.A
12.3A$251.2A16.2A110.2A5.A.A20.2A15.A$251.A17.A111.2A7.A34.4A$248.2A.
A2.A15.3A29.2A86.2A28.2A3.A3.2A$248.A.2A.A.A16.A29.A.A115.2A4.3A2.A$
252.A.A49.A34.2A6.2A28.A50.A.2A$198.2A29.2A18.2A2.A50.2A34.A7.A27.A.A
.2A46.A$198.2A29.A17.3A.2A78.A8.A.2A.3A28.A.A.A.A44.2A$227.A.A16.A83.
A.A8.A.A.A27.2A.A.A.A.A2.A$227.2A18.3A.2A78.A12.A28.A2.A2.2A.4A$249.A
.2A122.2A4.A37.2A$381.A.A35.A$259.2A121.2A36.3A$259.2A7.2A29.2A121.A$
268.A30.A$195.2A2.2A65.A.A31.3A81.2A$194.A.A2.A.A26.2A36.2A34.A81.A$
194.A5.A27.A.A86.2A67.A$193.2A22.A12.A86.2A47.2A14.5A$216.A.A11.2A
132.A2.A13.A$217.2A27.2A24.A91.2A.A.A12.3A$246.2A24.3A91.A.2A15.A$
275.A32.2A56.A15.4A$274.2A32.A55.3A10.2A3.A3.2A$289.2A15.A.A54.A13.2A
4.3A2.A$289.2A15.2A9.2A44.2A20.A.2A$262.A53.A2.A2.2A61.A$261.A.A53.2A
2.A.A60.2A$261.A.A55.2A16.2A$262.A56.A17.A$263.3A18.2A30.2A.A2.A15.3A
35.2A$265.A11.2A5.A.A29.A.2A.A.A16.A35.A$277.2A7.A33.A.A30.2A22.3A$
286.2A29.2A2.A30.A.A5.2A17.A$315.3A.2A31.A7.2A$273.A34.2A4.A36.2A$
272.A.A.2A25.2A2.A2.A4.3A.2A$272.A.A.A.A9.2A13.A.A2.2A7.A.2A44.A$269.
2A.A.A.A.A2.A5.A.A16.2A53.2A.A.A$269.A2.A2.2A.4A5.A19.A19.2A31.A.A.A.
A$271.2A4.A8.2A16.A2.A.2A16.2A7.2A19.A2.A.A.A.A.2A$277.A.A23.A.A.2A.A
25.A20.4A.2A2.A2.A$278.2A24.A.A27.A.A24.A4.2A$305.A2.2A24.2A23.A.A$
306.2A.3A47.2A$312.A$306.2A.3A$306.2A.A4.2A$314.2A$298.2A$289.2A7.2A$
290.A$290.A.A$291.2A37.A$329.A.A$329.A.A$330.A$311.2A18.3A$311.2A20.A
5$296.A$295.A.A$273.2A20.A.A$274.A21.A$272.A17.2A.3A$272.5A14.A.A$
277.A13.A$274.3A12.A.A$273.A15.2A$273.4A$271.2A3.A3.2A$270.A2.3A4.2A$
270.2A.A$273.A95.A$273.2A94.3A$372.A$371.2A$281.2A$282.A$279.3A$279.A
3$381.2A$374.2A5.A.A$374.2A7.A$349.A11.2A20.2A$348.A.A10.2A$315.2A31.
A.A19.A$316.A25.2A2.3A.2A17.A.A.2A$316.A.A23.A2.A23.A.A.A.A$317.2A21.
A.A3.3A.2A14.2A.A.A.A.A2.A$340.2A6.A.2A14.A2.A2.2A.4A$368.2A4.A$374.A
.A$375.2A4$338.2A13.2A$338.2A13.2A$368.2A$367.A2.A$368.2A.A$371.A$
371.2A$356.2A$357.A$329.2A23.3A$329.A24.A$330.3A$323.2A7.A$323.A$324.
3A$326.A370$742.2A$742.A.A$742.A!
#C [[ STEP 50 ]]

What It All Means
As a reminder, each incoming signal from metacell neighbors will subtract one from the number of gliders coming in to the ladder.

Thus, if you try deleting two or three of the gliders coming in from the northeast in the above pattern -- corresponding to two or three live neighbors -- then an eater in the rule-table array will block a key suppressing glider, and you'll get an ON signal out of the ladder circuit. Otherwise, no output signal, so nothing will go to neighbor metacells.

The initial set of eight gliders, and the TEST signal in the far southeast, will both have to be routed from a high-period 2^N clock gun.

-- Actually I'm unreasonably happy with the above result, mostly because of the entertaining reset circuit. In a metacell context there's plenty of time for that to run to completion. In point of fact there's no need to double the input signal, but it made it more fun to watch.

Downside
If we double the length of this ladder and make it work for both birth and survival lookups, it definitely isn't going to fit inside 512x512. Even separate ladder circuits for the B and S lookups will probably be happier in a 1024x1024 metacell, especially if we want any metapixel machinery to see the state from far away.

Upside
The above pattern actually does include pretty much everything you need to build a working metacell, except for

  • maybe some kind of metapixel machinery
  • logic to route a signal either to the S ladder or the B ladder, but not both, depending on whether the metacell was ON in the previous metatick
  • the clock gun
  • signal splitters and Snarks to send the output ON signal (labeled at T=0 in the above pattern) to each of the eight neighbors
  • more Snarks and one-bit memory units (see a few posts up) to receive possible signals back from those eight neighbors
Even the first two aren't too complicated, and they get easier as you go down the list. Anyone want to take over and finish a 1024x1024 Hashlife-friendly metacell?

Before I forget, here are a couple more memory units that can be cleared by passing gliders:

x = 112, y = 39, rule = LifeHistory
16.A$16.3A5.2A$19.A4.2A$18.2A2$100.2A$100.A$85.2A11.A.A$85.A.A10.2A$
32.2A52.2A$31.A.A48.2A$32.A48.A.A$81.A$80.2A$7.2A101.A$8.A100.A$8.A.A
98.3A$9.2A2$106.2A$106.2A$82.A$82.A.A$82.3A$9.A35.2A37.A$9.A.A33.2A$
9.3A$11.A2$75.2A$26.2A48.A6.2A$26.2A45.3A8.A$2.2A69.A7.3A$3.A77.A$3A
9.2A$A11.2A85.2A$98.A2.A$99.A.A$100.A!

Sokwe pointed out the block-keeper on the left a couple of years ago. It can be safely SET multiple times before being tested, and it's not a toggle, the way a boat-bit tested by a Herschel would be. I think the block-keeper is overkill for this project, but maybe someone will figure out how to use it.

Provisional Conclusion...
This was a fairly determined attempt to minimize the complexity of the actual signal that does the neighbor-counting -- down to a single glider. It doesn't get much simpler than that.

But the consequence was that the ladder circuit has to be complicated. And we need nine copies of the ladder circuit, one for each possible neighbor count. Not so good.

Looks like a better method will be... um... the way every previous metacell has done this kind of thing:

Invest in a complex signal shotgun. That way the ladder circuit and the lookup table can be relatively tiny.

On to the next post --
dvgrn
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Re: Quest-for-Tetris Challenges

Postby dvgrn » September 23rd, 2017, 7:48 pm

... And A Challenge
Can someone please design a stable metacell neighbor-counting circuit that's more compact than the crazy device in the last post?

No stable-circuitry metacells have ever been built except for Calcyman's megacell, which runs at 45 degrees to the Life universe and was completed before Snarks and syringes came along. "Compact" is not, shall we say, a good description of the megacell. The Quest for Tetris project seems like a fine opportunity to build something that's as good as we can make it in 2017.

Elementary Error
dvgrn wrote:what's the simplest and smallest diagonal ladder circuit that allows a glider to push a marker still life some distance? It has to be push and not pull, or the synchronized ON-signal suppression idea won't work.

... Okay, now I think I was totally wrong about that. It would be perfectly okay to read the row of eaters that makes up the new metacell's programmable rule table, by either pulling or pushing -- moving an object either toward or away from the source of the gliders.

All that matters is that any TEST signal that goes along with the PULL or PUSH is synchronized with that signal, as in the example above... and similarly, when you send a READ signal, it has to be synchronized with the signal that you want to be the ON output.

We could pull or push an object diagonally by as little as 4 full diagonals, and there would still be room for a row of eaters as a rule table.

I don't know of a really cheap 4fd block pull, but there's a fairly inexpensive 6fd pull.

x = 438, y = 324, rule = LifeHistory
10.A$8.3A$7.A$7.2A3$16.A$14.3A$13.A$2C11.2A$2C2$22.A$20.3A$19.A$6.2D
11.BA$6.2D2$28.A$26.3A$25.A$12.2D11.BA$12.2D2$34.A$32.3A$31.A$18.2D
11.2A$18.2D2$40.A$38.3A$37.A$24.2D11.2A$24.2D2$46.A$44.3A$43.A$30.2D
11.2A$30.2D$161.A11.2A$52.A107.A.A9.B2AB$50.3A99.A3.2A2.A.A9.3B$49.A
101.A.A2.A2.2A.2A9.B.B$36.2D11.2A100.A.A3.A.A2.B8.5B$36.2D114.A.4A2.A
B2A6.6B$154.A3.A.A.2A4.8B$58.A50.A11.2A13.2A15.A2.BA.A2.13B$56.3A49.A
.A9.B2AB13.A14.A.2BA.A5.13B$55.A44.A3.2A2.A.A9.3B14.A.AB11.2A.2BA5.
15B$42.2D11.2A42.A.A2.A2.2A.2A9.B.B14.2AB.2A12.3B4.15B$42.2D55.A.A3.A
.A2.B8.5B16.2B2AB12.2B.B.17B$100.A.4A2.AB2A6.6B16.4B6.29B$102.A3.A.A.
2A4.8B16.6B3.4BD11B2A13B$84.2A15.A2.BA.A2.13B18.6B2.4B3D9B2A14B$85.A
14.A.2BA.A5.13B16.7B.4BDBD20B3.B2A$48.2D35.A.AB11.2A.2BA5.15B14.15BD
19B4.A2.A$48.2D36.2AB.2A12.3B4.15B13.20B2.2B2.B3.6B5.2A.A$88.2B2AB12.
2B.B.17B11.18B14.6B7.A$88.4B6.29B11.16B14.9B6.2A$88.6B3.4BD11B2A13B
11.14B15.2A4.4B$89.6B2.4B3D9B2A14B9.16B15.A5.4B$89.7B.4BDBD20B3.B2A6.
2AB.14B12.3A7.4B$88.15BD19B4.A2.A4.A.AB.6B3.3B.B2A10.A10.4B$87.20B2.
2B2.B3.6B5.2A.A3.A4.6B7.BA.A21.B3A$86.18B14.6B7.A2.2A4.D2B2D2B9.A22.A
$86.16B14.9B6.2A7.B3D4B2.2A4.2A22.A$87.14B15.2A4.4B12.4BD7BA.A$86.16B
15.A5.4B11.11B3.A$84.2AB.14B12.3A7.4B10.5B2A4B3.2A$83.A.AB.6B3.3B.B2A
10.A10.4B9.5B2A3B$83.A4.6B7.BA.A21.B3D8.10B$82.2A4.D2B2D2B9.A22.D10.
9B$88.B3D4B2.2A4.2A22.D9.9B$86.4BD7BA.A38.8B$86.11B3.A29.4B4.8B$86.5B
2A4B3.2A29.4B4.6B$86.5B2A3B36.4B3.6B$86.10B37.4B2.6B$86.9B39.4B.7B$
86.9B40.4B.6B$87.8B41.9B$86.8B43.8B$87.6B45.8B$87.6B46.7B8.A$87.6B47.
6B6.3A$87.7B46.2B3D2B4.A$85.2B.6B46.2BD4B4.2A$84.9B47.B3D4B.4B$85.8B
47.11B$79.B6.8B46.12B$79.2B6.7B46.12B2.2B$79.3B6.6B7.2A38.15B$79.4B5.
2B3D2B6.A42.13B$80.4B4.2BD4B3.BA.A41.15B$81.4B3.B3D4B2.B2A41.17B$82.
4B2.11B42.17B$83.4B.11B40.B.19B$84.15B39.2A21B$85.15B38.2A21B$86.5B.
7B40.24B2.2A$81.2B4.12B38.5B2.15B.B2A.A.A$81.2A2B2.11B39.2A6.12B3.B2A
BA$80.A2BA14B40.A7.8B.B6.B2.A$79.BA2BA13B38.3A9.5B9.2A.2A$79.2B2A17B
35.A14.4B8.A.A$81.20B51.2A8.A.A$82.16B2A2B50.A10.A$82.4B.4B.6B2AB52.
3A$83.B5.B4.8B53.A$82.3B11.6B$81.B2AB10.7B$82.2A11.6B$96.6B$96.5B$95.
6B$95.6B$96.5B$96.3D2B$97.BDB$97.3D$98.B3$98.2A$98.2A67$307.3A$307.A$
308.A126$435.3A$435.A$436.A!

With this method it looks pretty trivial to rebuild the initial block for the next round, along with sending the TEST signal (which will have to sneak in from the side using edge shooters.)

Key Questions
What other objects and pull reactions should be considered, given we have to build the shotguns with stable circuitry? Can we do anything with three gliders, or even two?

There's still the question of how to turn a block into a clean sideways glider. That's clearly solvable, using Fx119 edge shooters as I mentioned -- starting with what Calcyman did in the p1 megacell:

x = 109, y = 90, rule = LifeHistory
2C3.2A$2C3.A.A$5.A$17.A$16.2A$16.A.A2$7.A$6.2A$6.A.A2$22.A$12.2D7.2A$
12.2D7.A.A21$39.2A$39.A.A$39.A$45.2A$44.2A$46.A2$41.A$40.2A$40.A.A25$
61.A$60.2A$60.A.A17$107.A$106.2A$106.A.A!

That reaction looks like it might have been the first likely-looking reaction that came to hand back in 2008, though. With any luck at all we can find something a bit more efficient than that. (?)

Options to Consider
Calcyman's is a PULL and sideways glider reaction combined, which means you need another parallel glider to suppress the output on each PULL, and only let the glider out to go through the rule-table eater array after all the PULLs have been done. That's a perfectly fine way to do the rule lookup, and that's what I've done in the previous post, in fact.

But it's also possible to have PULL and TEST salvos that are completely separate. This 6fd block pull would have to be like that. There's even a small advantage. The pulled object has to be reset to its zero state after TEST. That can easily be done as part of the TEST salvo.

Another interesting idea: if we do separate the counting signals from the TEST signal, as in the pattern in the last post, there may not be any reason to use inverted logic on the incoming signals from neighbors.

Instead, we could just merge them all onto the ladder circuit's input lane and count them directly. When enough time has passed, the clock gun sends the TEST signal, and the output is sent through the rule-table eater array to see if the cell goes ON or OFF next.

Then there's no need to generate a stream of eight gliders any more, or hold bits in memory units all around the metacell.

We would have to worry about two neighbor signals merging in too close to each other, but that's trivial to fix by moving a few Snarks to delay one signal... theoretically.

Last question
Do these headings help anyone navigate all this text, or am I wasting my time?
dvgrn
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Re: Quest-for-Tetris Challenges

Postby Apple Bottom » September 24th, 2017, 5:00 am

dvgrn wrote:Last question
Do these headings help anyone navigate all this text, or am I wasting my time?


Finally, a question even I can answer! :) They do help, a lot. I wish more people would structure their posts like you do.
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Re: Quest-for-Tetris Challenges

Postby dvgrn » September 24th, 2017, 7:45 am

dvgrn wrote:Key Questions
What other objects and pull reactions should be considered, given we have to build the shotguns with stable circuitry? Can we do anything with three gliders, or even two?

I wasn't ambitious enough. Two gliders turns out to be easy, with the block example from my last post. You just need a row of catalysts corresponding to the eater array, to remove a surplus block.

That means the only possible improvement is just a single glider hitting the block, presumably either in the pi-making or the slow-vanish position. It would have to be catalyzed quickly by something out of the way of the block-pulling gliders, and the catalysts would have to not get in each others' way at 6fd spacing.

I didn't turn up anything immediately. Have left the three-signal TEST circuitry unoptimized for the moment, in case someone can find a good improvement. Eventually those three signals will be generated by a single input TEST signal:

x = 736, y = 1108, rule = LifeHistory
733.A$733.A.A$733.2A159$664.A$663.A$662.B3A93$656.A$655.A3B$654.B3A
143$332.A$332.A.A$332.2A134$43.2B$43.3B$43.4B$44.4B$45.4B10.3D2.D3.D.
5D$46.4B8.D3.D.D3.D3.D$47.4B7.D3.D.D3.D3.D$48.4B6.D3.D.D3.D3.D$49.4B
5.D3.D.D3.D3.D$50.4B4.D3.D.D3.D3.D$51.4B3.D3.D.D3.D3.D$52.4B2.D3.D.D
3.D3.D$53.4B2.3D3.3D4.D$54.4B$55.4B$56.4B$57.4B$58.4B$59.4B$56.2D2.4B
$55.D2.D2.4B$55.D2.D3.4B$55.D2.D4.4B$55.D2.D5.4B$55.D2.D6.4B$12.2A14.
A27.2D3.BE3.4B193.A$11.A2.A11.3A31.3EB3.4B191.A$12.A.A10.A27.2B4.E3B
5.4B189.B3A$11.2A.2A9.2A19.A5.3B4.DE8.4B$14.B11.B18.A.A2.6B.4B9.4B$9.
4AB2A2.B2A5.3B17.A3.10B11.4B$9.A2.A.2A2.B2A4.6B16.12B8.BE3.4B$14.7B3.
10B11.5B2D7B7.3EB3.3B$16.19B3.2B2.8B2D7B6.E3B5.2B$15.9BD3B2A15BD14B5.
DE8.B$16.8B2D2B2A15BDBD14B$17.8B2D18B3D14B$10.2A5.8BD21BD15B11.A$11.A
5.7BD31B2D7B7.3A$11.A.AB2.8B.13B.B5.10B2D7B6.A$12.2AB.9B.7B.B11.20B5.
2A$14.11B21.22B$14.11B21.17B.4B$14.9B.B2A19.18B.4B11.A$15.7B2.BA.A18.
16B2D7B7.3A$14.8B5.A19.9B.5B2D2B.4B6.A$15.8B4.2A19.8B2.9B.4B5.2A$16.
7B26.4B.B3.15B$13.11B26.3B7.9B.4B$12.11B25.5B8.9B.4B10.BE110.5D.5D2.
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11B26.A13.5B2D2B.4B6.E3B112.D3.D5.D7.D$3.2A2.A.A2.B3D4B2.B2A21.3A15.
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2A34.A18.9B.4B77.A.2BA.A5.13B4.D8.D3.D8.D$7.10B5.A55.9B.4B38.4B13.2A
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17.5B2.15B3.D8.D3.D.3D4.D$6.12B.B2A44.2A12.6B2DB.5B7.3EB12.3A7.4B11.A
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11.A.2A.2A8.A8.29B3.D3.D3.D3.D3.D3.D$4.16B44.3A15.9B.4B5.DE17.2A4.4B
12.A4.B8.2A7.4BD11B2A13B3.D3.3D5.3D3.D$.2B.16B44.A18.9B.4B17.2B4.9B
14.3AB2AB6.5B.B2.4B3D9B2A14B$2A18B64.9B.4B16.3B5.6B17.A.2AB.B6.6B.4BD
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2.4B50.2A12.6B2DB.5B7.3EB3.15B19.26B2.2B2.B3.6B5.2A.A$8.7B4.3B51.A13.
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14.BA.A73.9B.4B7.2D6.3B2AB6.A17.11B2.8B11.3A7.4B3.A3.A5.4B$15.A.A60.
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5B2D2B.4B4.D2.D7.3B24.2B2D2BD6B7.A24.4B4.9B$17.3A56.3A15.8B2.4B4.2D5.
AB.2B20.2A2.4B3DB4.2A8.3A22.4B5.6B$19.A56.A18.7B3.B12.A.AB2AB18.A.A7B
D4B2.A11.A23.4B2.8B$96.6B16.A.ABABAB17.A3.11B3.3A33.15B$97.5B13.2A.A.
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13B$85.A13.3B10.B4.2A4.A24.10B42.10B.B2A$82.3A15.2B10.2B9.A.A23.9B44.
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8.B2A2B39.A.4A2.AB2A6.6B$134.23B10.4B41.A3.A.A.2A4.8B$129.B4.23B8.6B
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A.A.A6.3A16.4B.17B$131.39B14.A.2A.2A8.A8.29B$132.39B13.A4.B8.2A7.4BD
11B2A13B$133.38B14.3AB2AB6.5B.B2.4B3D9B2A14B$135.25B2.B.6B17.A.2AB.B
6.6B.4BDBD20B3.B2A$136.17B5.B6.6B20.4B4.14BD19B4.A2.A$136.16B13.6B2A
18.26B2.2B2.B3.6B5.2A.A$136.16B14.5BA.A15.25B14.6B7.A13.A$137.13B16.
3B4.A15.2A21B14.9B6.2A11.A3B$138.9B26.2A14.2A20B15.2A4.4B17.B3A$140.
6B46.19B16.A5.4B4.4A7.4B$142.4B46.11B2.8B11.3A7.4B3.A3.A5.4B$143.B48.
10B5.B3.2A11.A10.4B5.2A4.4B$191.2B2D2BD6B7.A24.4B4.9B$186.2A2.4B3DB4.
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3B2AB3.BA.A$191.9B44.3B2AB6.A$191.8B47.4B6.2A$192.8B46.3B$193.6B44.AB
.2B$193.6B4.2A37.A.AB2AB$193.6B4.A38.A.ABABAB$192.7B.BA.A35.2A.A.A.A.
A2.A$192.6B2.B2A36.A2.A2.2A.4A$193.8B40.2A4.A$193.8B46.A.A$192.8B48.
2A$192.7B$192.6B5.2A$191.2B3D2B5.A$191.4BD2B2.BA.A11.2A$186.3B.4B3DB
2.B2A12.A$183.2B.15B11.BA.A35.A11.2A$165.4B12.20B8.2A.B2A35.A.A9.B2AB
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.2A9.B.B$168.4B4.23B8.6B28.A.A3.A.A2.B8.5B$169.4B2.24B5.B2.5B2.B27.A.
4A2.AB2A6.6B$170.4B.24B3.6B2A2B.B2A28.A3.A.A.2A4.8B$171.37B2A4B2A27.A
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16B14.5BA.A7.2AB6.6B.4BDBD20B3.B2A$179.13B16.3B4.A9.2B4.14BD19B4.A2.A
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2A8.3A22.D$220.B4.7B2.A11.A23.D$224.7B4.3A$224.7B6.A34.4B$223.8B42.3B
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225.B3D6B2A27.3A11.4B23.2A$223.4BD7BA.A10.A14.A15.4B22.A$223.11B3.A
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223.5B2A3B17.2A6.5B5.13B.4B12.B2A2B$223.10B17.5B2.9BD26B6.4B$223.9B
20.15BD21BD4B3.6B$223.9B19.2A14B2D18B3D4B2.6B$224.8B19.2A13B2D2B2A15B
DBD4B.7B$223.8B21.B.12BD3B2A15BD15B$224.6B24.23B3.2B2.20B$224.6B25.9B
2.10B11.18B$224.6B26.8B3.6B16.17B$224.7B26.7B4.3B19.16B$222.2B.6B23.
11B3.B20.17B$221.9B23.12B2.2A20.18B$222.8B14.2A7.12B2.A19.2AB.16B$
216.B6.8B12.A2.A2.2A2.11B4.3A15.A.AB3.12B.B2A$216.2B6.7B13.2A2.A.A2.B
3D4B.4B4.A15.A6.12B.BA.A$216.3B6.6B7.2A6.2A.B3.2BD4B4.2A19.2A5.12B5.A
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41.5B$222.15B4.A4.B6.6B42.B2A.A$223.5B.7B6.3AB2AB3.7B42.B2AB3A$218.2B
4.12B8.A.2AB.8B45.B4.A$218.2A2B2.11B13.10B44.2A.3A$217.A2BA14B13.6B2A
3B42.A2.2A$216.BA2BA13B14.6B2A2B5.2A8.4D2.D3.D.D5.D9.2A$216.2B2A17B
11.10B5.A9.D3.D.D3.D.D5.D$218.20B9.11B2.BA.A9.D3.D.D3.D.D5.D$219.16B
2A2B8.12B.B2A10.D3.D.D3.D.D5.D$219.4B.4B.6B2AB8.15B12.D3.D.D3.D.D5.D$
220.B5.B4.8B6.16B12.4D2.D3.D.D5.D$219.3B11.6B3.2B.16B12.D5.D3.D.D5.D$
218.B2AB10.7B2.2A18B12.D5.D3.D.D5.D$219.2A11.6B3.2AB.17B11.D6.3D2.5D.
5D$233.6B3.B.4B.8B2.4B$233.5B11.7B4.4B$232.6B12.6B5.4B$232.6B14.4B6.
4B$233.5B16.3BA5.2B2A$233.3D2B17.BA.A5.BA.A$234.BDB19.A.A6.A$234.3D
20.A$235.B22.3A$260.A2$235.2A$235.2A49$232.B$232.2A$232.A.A89.2A$232.
A91.A.A$324.A57$383.2A$383.A.A$383.A219$514.B$514.2C$514.C.C$514.C!
#C [[ ZOOM 1.5 X -213 Y 96 STEP 10 STOP 1075 ]]

The pattern above shows two cycles of the circuitry. The first one tests the rule-table eater array at the "zero neighbors" setting (that's where the above animation stops). After a reset, three signals are sent into the ladder. There's an eater at the "3" position in the rule-table array, so an ON signal escapes.

dvgrn wrote:Another interesting idea: if we do separate the counting signals from the TEST signal, as in the pattern in the last post, there may not be any reason to use inverted logic on the incoming signals from neighbors.

Instead, we could just merge them all onto the ladder circuit's input lane and count them directly.

The more I think about this idea, the more I like it. Now I'll have to try it and see if it works.

EDIT: Patched in the S-for-survival ladder section, and fiddled around with the input circuits a little more. Still haven't wired up the 3-glider TEST input to be controlled by a single glider yet. I'm hoping somebody can come up with a 2-glider TEST signal somehow, or a way to avoid those bulky Fx119 inserters.

Now the two cycles are testing B0 (no output ON signal) followed by S3 (yes ON signal). Of course it won't really happen like that when the rest of the circuitry is in place.

x = 2984, y = 2707, rule = LifeHistory
2981.BA$2980.2A.B$2981.2A175$2913.A$2911.2A$2912.2A69$2756.AB$2755.AB
.B$2755.3A1001$1730.BA$1729.2A.B$1730.2A154$1299.3D2.D3.D.5D$1298.D3.
D.D3.D3.D$1298.D3.D.D3.D3.D$1298.D3.D.D3.D3.D$1298.D3.D.D3.D3.D$1298.
D3.D.D3.D3.D$1298.D3.D.D3.D3.D$1298.D3.D.D3.D3.D$1299.3D3.3D4.D3$
1298.2B$1298.3B$1298.4B$1299.4B$1300.4B$1301.4B$1302.4B$1303.4B$1304.
4B$1305.4B$1306.4B352.A$1307.4B349.2A$1308.4B349.2A$1309.4B$1256.2A
11.A40.4B$1255.B2AB9.A.A40.4B9.2D$1256.3B9.A.A2.2A3.A33.4B7.D2.D$
1255.B.B9.2A.2A2.A2.A.A12.A20.4B6.D2.D$1255.5B8.B2.A.A3.A.A10.3A21.4B
5.D2.D$1255.6B6.2ABA2.4A.A10.A25.4B4.D2.D$1255.8B4.2A.A.A3.A12.2A25.
4B3.D2.D$1256.13B2.A.AB2.A9.4B26.4B3.2D4.D$1254.13B5.A.A2B.A7.3B29.4B
7.2D$1253.19B.A2B.2A7.4B29.4B7.D$1253.15B2.5B10.5B30.4B6.D$1252.17B.
4B11.6B25.BE3.4B5.D$1252.29B2.8B24.3EB3.4B4.D$1251.13B2A11BD14B16.2B
4.E3B5.4B2.3D4.2D$1250.14B2A9B3D13B10.A5.3B4.DE8.4B7.D2.D$1249.2AB3.
20BDBD4B.7B10.A.A2.6B.4B9.4B9.D15.4D$1248.A2.A4.19BD15B10.A3.10B11.4B
7.D16.D3.D$1247.A.2A5.6B3.B2.2B2.19B11.12B8.BE3.4B5.D17.D3.D$1247.A7.
6B14.17B8.5B2D7B7.3EB3.3B4.D18.D3.D$1246.2A6.9B14.15B.2B2.8B2D7B6.E3B
5.2B4.4D3.2D10.4D$1253.4B4.2A15.22BD14B5.DE8.B10.D2.D9.D3.D$1252.4B5.
A16.8B.13BDBD14B27.D9.D3.D$1251.4B7.3A11.8B3.2B2A9B3D14B25.2D10.D3.D$
1251.3B10.A11.2A3.B5.2B2A11BD15B10.BE14.D9.4D$1249.4B24.A10.23B2D7B7.
3EB10.D2.D$1249.3B22.3A11.6B.B5.10B2D7B6.E3B12.2D3.D$1247.2A2B23.A14.
B11.20B5.DE19.D2.D$1246.A.AB51.22B24.D2.D$1248.A52.17B.4B24.4D$1301.
18B.4B11.A14.D$1301.16B2D7B7.3A14.D$1302.9B.5B2D2B.4B6.A17.D2.4D$
1262.4D2.5D2.3D2.5D.5D12.8B2.9B.4B5.2A19.D$1262.D3.D.D5.D3.D.D7.D15.
4B.B3.15B25.D$1262.D3.D.D5.D5.D7.D16.3B7.9B.4B25.2D$1262.D3.D.D5.D5.D
7.D14.5B8.9B.4B10.BE14.D$1262.D3.D.3D4.3D2.3D5.D14.2A11.7B2DB.4B8.3EB
10.D2.D$1262.4D2.D9.D.D7.D15.A13.5B2D2B.4B6.E3B12.2D4.2D$1262.D.D3.D
9.D.D7.D12.3A15.9B.4B5.DE19.D2.D$1262.D2.D2.D5.D3.D.D7.D12.A17.10B.4B
25.D$1262.D3.D.5D2.3D2.5D3.D32.9B.4B24.3D$1322.9B.4B10.BE11.D2.D$
1309.2A12.6B2DB.5B7.3EB10.D2.D$1310.A13.5B2D2B.4B6.E3B12.2D3.4D$1307.
3A15.9B.4B5.DE22.D$1307.A18.9B.4B27.D$1327.9B.4B26.D$1328.9B.4B10.BE
12.D$1315.2A12.6B2DB.4B8.3EB11.D$1316.A13.5B2D2B.4B6.E3B11.D6.2D$
1313.3A15.9B.4B5.DE19.D2.D$1313.A18.9B.4B25.D2.D$1333.9B.4B25.2D$
1334.9B.4B10.BE11.D2.D$1321.2A12.6B2DB.5B7.3EB10.D2.D$1322.A13.5B2D2B
.4B6.E3B12.2D4.2D$1319.3A15.9B.4B5.DE19.D2.D$1319.A18.9B.4B25.D2.D$
1339.9B.4B24.D2.D$1340.9B.4B10.BE11.D2.D$1327.2A12.6B2DB.5B7.3EB10.D
2.D$1328.A13.5B2D2B.4B6.E3B12.2D4.D$1325.3A15.9B.4B5.DE11.B7.2D$1325.
A18.9B.4B15.4B7.D$1345.9B.4B15.4B6.D$1346.9B.4B10.BC3.4B5.D$1333.2A
12.6B2DB.4B8.3CB3.4B4.D$1334.A13.5B2D2B.6B4.C3B5.4B2.3D4.2D113.AB$
1331.3A15.8B2.5B4.DC8.4B7.D2.D111.AB.B$1331.A18.7B2.6B.4B9.4B9.D16.3D
92.3A$1351.6B2.10B11.4B7.D16.D3.D$1352.16B8.BC3.4B5.D17.D$1339.2A12.
6B2D7B7.3CB3.3B4.D18.D$1340.A13.5B2D7B6.C3B5.2B4.4D3.2D11.3D$1337.3A
15.14B5.DC8.B10.D2.D13.D$1337.A18.15B27.D13.D$1357.14B25.2D10.D3.D$
1357.15B11.A14.D10.3D$1345.2A10.8B2D7B7.3A11.D2.D$1346.A10.8B2D7B6.A
15.2D3.D$1343.3A11.18B5.2A19.D2.D$1343.A13.20B24.D2.D$1357.15B.4B24.
4D$1357.16B.4B11.A14.D$1351.2A4.14B2D7B7.3A14.D$1352.A4.8B.5B2D2B.4B
6.A17.D2.4D$1349.3A5.8B2.9B.4B5.2A19.D$1349.A8.4B.B3.15B25.D$1359.3B
7.9B.4B25.2D$1357.5B8.9B.4B10.BC14.D$1357.2A11.7B2DB.4B8.3CB10.D2.D$
1358.A13.5B2D2B.4B6.C3B12.2D4.2D$1355.3A15.9B.4B5.DC19.D2.D$1355.A17.
10B.4B25.D$1375.9B.4B24.3D$1376.9B.4B10.BC11.D2.D$1363.2A12.6B2DB.5B
7.3CB10.D2.D$1364.A13.5B2D2B.4B6.C3B12.2D3.4D$1361.3A15.9B.4B5.DC22.D
$1361.A18.9B.4B27.D94.5D.5D2.3D2.5D$1381.9B.4B26.D96.D3.D5.D3.D3.D$
1382.9B.4B10.BC12.D97.D3.D5.D7.D$1369.2A12.6B2DB.4B8.3CB11.D97.D3.D5.
D7.D$1370.A13.5B2D2B.4B6.C3B11.D6.2D90.D3.3D4.3D4.D$1367.3A15.9B.4B5.
DC19.D2.D89.D3.D9.D3.D$1367.A18.9B.4B25.D2.D89.D3.D9.D3.D$1387.9B.4B
25.2D90.D3.D5.D3.D3.D$1388.9B.4B10.BC11.D2.D67.A11.2A8.D3.5D2.3D4.D$
1375.2A12.6B2DB.5B7.3CB10.D2.D12.4B50.A.A9.B2AB$1376.A13.5B2D2B.4B6.C
3B12.2D.A10.4B43.A3.2A2.A.A9.3B$1373.3A15.9B.4B5.DC17.3A7.4B43.A.A2.A
2.2A.2A9.B.B$1373.A18.9B.4B26.A5.4B44.A.A3.A.A2.B8.5B$1393.9B.4B24.2A
4.4B46.A.4A2.AB2A6.6B7.D3.3D5.3D3.D$1394.9B.4B10.BC5.2B4.9B49.A3.A.A.
2A4.8B6.D3.D3.D3.D3.D3.D$1381.2A12.6B2DB.5B7.3CB4.3B5.6B49.A2.BA.A2.
13B7.D7.D3.D7.D$1382.A13.5B2D2B.4B6.C3B5.4B2.8B48.A.2BA.A5.13B4.D8.D
3.D8.D$1379.3A15.9B.4B5.DC4.B3.15B25.2A19.2A.2BA.19B3.D6.2D4.D8.D$
1379.A18.9B.4B15.14B25.A6.A17.5B2.15B3.D8.D3.D.3D4.D$1399.9B.4B15.13B
21.A.A.A6.3A16.4B.17B3.D7.D3.D3.D3.D$1400.9B.4B15.10B.B2A18.A.2A.2A8.
A8.29B3.D3.D3.D3.D3.D3.D$1387.2A12.6B2DB.4B16.3B2AB3.BA.A17.A4.B8.2A
7.4BD11B2A13B3.D3.3D5.3D3.D$1388.A13.5B2D2B.4B15.3B2AB6.A18.3AB2AB6.
5B.B2.4B3D9B2A14B$1385.3A15.8B2.4B16.4B6.2A19.A.2AB.B6.6B.4BDBD20B3.B
2A$1385.A18.7B3.B18.3B32.4B4.14BD19B4.A2.A$1405.6B19.AB.2B33.26B2.2B
2.B3.6B5.2A.A$1406.B22.A.AB2AB30.25B14.6B7.A$1393.2A16.BD16.A.ABABAB
29.2A21B14.9B6.2A$1394.A16.2DB12.2A.A.A.A.A2.A27.2A20B15.2A4.4B$1391.
3A17.DBDB11.A2.A2.2A.4A30.19B16.A5.4B4.4A7.4B$1391.A20.4B12.2A4.A34.
11B2.8B11.3A7.4B3.A3.A5.4B$1413.4B17.A.A32.10B5.B3.2A11.A10.4B5.2A4.
4B$1414.4B2.D14.2A31.2B2D2BD6B7.A24.4B4.9B$1399.2A18.2D42.2A2.4B3DB4.
2A8.3A22.4B5.6B$1400.A18.D.D40.A.A7BD4B2.A11.A23.4B2.8B$1397.3A62.A3.
11B3.3A33.15B$1397.A63.2A3.4B2A5B5.A34.14B$1467.3B2A5B41.13B$1467.10B
42.10B.B2A$1405.2A61.9B44.3B2AB3.BA.A$1406.A61.9B44.3B2AB6.A$1403.3A
62.8B47.4B6.2A$1403.A65.8B46.3B$1470.6B44.AB.2B$1470.6B4.2A37.A.AB2AB
$1470.6B4.A38.A.ABABAB$1469.7B.BA.A35.2A.A.A.A.A2.A$1469.6B2.B2A36.A
2.A2.2A.4A$1470.8B40.2A4.A$1470.8B46.A.A$1469.8B48.2A$1469.7B$1469.6B
5.2A$1468.2B3D2B5.A$1468.4BD2B2.BA.A11.2A$1463.3B.4B3DB2.B2A12.A31.A
11.2A$1460.2B.15B11.BA.A30.A.A9.B2AB$1458.20B8.2A.B2A23.A3.2A2.A.A9.
3B$1446.B7.B2.20B8.B2A2B24.A.A2.A2.2A.2A9.B.B$1446.2B5.23B10.4B24.A.A
3.A.A2.B8.5B$1446.3B4.23B8.6B25.A.4A2.AB2A6.6B$1446.4B2.24B5.B2.5B2.B
25.A3.A.A.2A4.8B$1447.4B.24B3.6B2A2B.B2A23.A2.BA.A2.13B$1448.37B2A4B
2A22.A.2BA.A5.13B$1449.40B.2B23.2A.2BA.19B$1450.39B12.A17.5B2.15B$
1451.39B11.3A16.4B.17B$1452.38B4.A9.A8.29B$1454.25B2.B.6B5.3A6.2A7.4B
D11B2A13B$1455.17B5.B6.6B7.A5.5B.B2.4B3D9B2A14B$1455.16B13.6B2A4.2AB
6.6B.4BDBD20B3.B2A$1455.16B14.5BA.A5.2B4.14BD19B4.A2.A$1454.15B16.3B
4.A4.25B2.2B2.B3.6B5.2A.A$1455.11B26.2A4.21B14.6B7.A$1456.9B33.19B14.
9B6.2A$1457.8B31.20B15.2A4.4B$1405.2A11.A39.4B33.5BD15B16.A5.4B$1404.
B2AB9.A.A39.4B32.3B3D7B2.8B11.3A7.4B$1405.3B9.A.A2.2A3.A29.7B28.AB.4B
D7B5.B3.2A11.A10.4B$1404.B.B9.2A.2A2.A2.A.A12.A13.12B24.A.A15B7.A24.B
3D$1404.5B8.B2.A.A3.A.A10.3A12.13B25.A2B.B.6B3.2A8.3A22.D$1378.A25.6B
6.2ABA2.4A.A10.A16.13B25.B4.7B2.A11.A23.D$1378.3A23.8B4.2A.A.A3.A12.
2A15.15B27.7B4.3A$1381.A23.13B2.A.AB2.A9.4B14.16B27.7B6.A34.4B$1380.
2A21.13B5.A.A2B.A7.3B15.17B26.8B42.3B$1380.5B3.B13.19B.A2B.2A7.4B14.
18B23.2AB.7B42.2B$1382.3B2.4B11.15B2.5B10.5B13.19B22.A.AB.6B44.B$
1372.2A7.9B11.17B.4B11.6B12.20B21.A4.6B$1372.A8.8B12.29B2.8B13.20B19.
2A4.D2B2D2B34.A10.4B$1369.2A.A.B3.10B12.13B2A11BD14B10.21B26.B3D6B2A
27.3A11.4B23.2A$1369.A2.3AB.2B2A7B11.14B2A9B3D13B11.21B24.4BD7BA.A10.
A14.A15.4B22.A$1370.2A2.BA3B2A7B10.2AB3.20BDBD4B.7B12.19B26.11B3.A10.
3A12.2A15.4B18.BA.A$1372.4A12B9.A2.A4.19BD15B12.17B27.5B2A4B3.2A12.A
7.2B.3B3.7B.B4.4B14.2A.B2A$1372.A.2B3.7B.B2A6.A.2A5.6B3.B2.2B2.19B11.
18B27.5B2A3B17.2A6.5B5.13B.4B12.B2A2B$1373.3AB2.7B.BA.A2.A2.A7.6B14.
17B8.20B27.10B17.5B2.9BD26B6.4B$1376.A4.4B5.A2.4A6.9B14.15B.2B2.22B
28.9B20.15BD21BD4B3.6B$1371.5A5.4B5.3A9.2B6.2A15.22BD18B28.9B19.2A14B
2D18B3D4B2.6B$1371.A10.4B7.4A4.3B6.A16.8B.13BDBD14B31.8B19.2A13B2D2B
2A15BDBD4B.7B$1373.A9.4B5.A3.A3.4B7.3A11.8B3.2B2A9B3D13B31.8B21.B.12B
D3B2A15BD15B$1372.2A10.4B4.2A5.4B10.A11.2A3.B5.2B2A11BD13B32.6B24.23B
3.2B2.20B$1385.9B4.4B24.A10.28B32.6B25.9B2.10B11.18B$1386.6B5.4B22.3A
11.6B.4B4.13B32.6B26.8B3.6B16.17B$1386.8B2.4B23.A14.B5.3B5.3B4.6B32.
7B26.7B4.3B19.16B$1384.15B43.4B4.4B5.7B29.2B.6B23.11B3.B20.17B$1384.
14B44.2A6.2A7.6B29.9B23.12B2.2A20.18B$1384.13B46.A7.A6.6B31.8B14.2A7.
12B2.A19.2AB.16B$1382.2AB.10B44.3A5.3A7.6B25.B6.8B12.A2.A2.2A2.11B4.
3A15.A.AB3.12B.B2A$1381.A.AB3.B2A3B46.A7.A8.8B24.2B6.7B13.2A2.A.A2.B
3D4B.4B4.A15.A6.12B.BA.A$1381.A6.B2A3B64.6B25.3B6.6B7.2A6.2A.B3.2BD4B
4.2A19.2A5.12B5.A$1380.2A6.4B66.7B24.4B5.2B3D2B6.A7.A2.2B2.2B3D2B4.A
27.13B4.2A$1389.3B64.11B23.4B4.2BD4B3.BA.A4.2A.A.BA2B.6B6.3A26.10B$
1390.2B.BA59.B.2B2A9B22.4B3.B3D4B2.B2A5.A.2A.A.A8B8.A27.8B$1389.B2ABA
.A57.2A3B2A9B23.4B2.11B11.A.A.8B37.B.5B$1388.BABABA.A57.2A14B24.4B.
11B8.2A2.A4.5B40.4B$1386.A2.A.A.A.A.2A55.14B26.15B6.3A.2A4.6B41.5B$
1386.4A.2A2.A2.A53.5B2.B2.2B.3B27.15B4.A4.B6.6B42.B2A.A$1390.A4.2A55.
2A4.3B5.2A28.5B.7B6.3AB2AB3.7B42.B2AB3A$1388.A.A62.A3.B2AB5.A24.2B4.
12B8.A.2AB.8B45.B4.A$1388.2A60.3A5.2A7.3A21.2A2B2.11B13.10B44.2A.3A$
1450.A18.A20.A2BA14B13.6B2A3B42.A2.2A$1489.BA2BA13B14.6B2A2B5.2A8.4D
2.D3.D.D5.D9.2A$1489.2B2A17B11.10B5.A9.D3.D.D3.D.D5.D$1491.20B9.11B2.
BA.A9.D3.D.D3.D.D5.D$1492.16B2A2B8.12B.B2A10.D3.D.D3.D.D5.D$1492.4B.
4B.6B2AB8.15B12.D3.D.D3.D.D5.D$1493.B5.B4.8B6.16B12.4D2.D3.D.D5.D$
1492.3B11.6B3.2B.16B12.D5.D3.D.D5.D$1491.B2AB10.7B2.2A18B12.D5.D3.D.D
5.D$1492.2A11.6B3.2AB.17B11.D6.3D2.5D.5D$1506.6B3.B.4B.8B2.4B$1506.5B
11.7B4.4B$1505.6B12.6B5.4B$1505.6B14.4B6.4B$1506.5B16.3BA5.B$1506.3D
2B17.BA.A$1507.BDB19.A.A$1507.3D20.A$1508.B22.3A$1533.A2$1508.2A$
1508.2A149$884.B$883.2A$882.A.A$884.A68$1765.B2A$1765.BA.A$1766.A57$
1825.2A$1825.A.A$1825.A56$1883.2B$1883.B2A$1883.BA.A$1884.A57$1943.2A
$1943.A.A$1943.A56$2001.2B$2001.B2A$2001.BA.A$2002.A57$2061.2A$2061.A
.A$2061.A56$2119.2B$2119.B2A$2119.BA.A$2120.A57$2179.2A$2179.A.A$
2179.A57$2238.2A$2238.A.A$2238.A115$2355.2B$2355.B2A$2355.BA.A$2356.A
57$2415.2A$2415.A.A$2415.A56$2473.2B$2473.B2A$2473.BA.A$2474.A101$2.B
$.2C$C.C$2.C!
#C [[ ZOOM 1.5 X -82 Y 193 STEP 10 STOP 1649 ]]

Next detail is that the OUT signal has to be split and routed back to edge-shoot the first nine gliders shown above, into the PULL circuit. Anyone want to give that a try?

A simple 180-degree edge-shooting loop gun should do the trick, with either three semi-Snarks or two tremi-Snarks attached to the output not used for edge-shooting. Just have to route the resulting signal around to stop the gun somehow.

I'll probably let this design settle for a week or so before wiring up the neighbor inputs and outputs -- see if anyone comes up with ways to simplify it further.
dvgrn
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Posts: 4029
Joined: May 17th, 2009, 11:00 pm
Location: Madison, WI

Re: Quest-for-Tetris Challenges

Postby dvgrn » September 25th, 2017, 6:23 pm

The new tremi-Snark makes a reasonably compact one-glider-to-nine-gliders converter. So here are a couple more of the key pieces added to the metacell:

x = 1153, y = 1090, rule = LifeHistory
1150.BA$1149.2A.B$1150.2A173$1082.A$1080.2A$1081.2A50$946.A$944.2A$
945.2A348$513D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.
D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D
511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$
D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D
$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.
D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D
511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$
D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D498.BA11.D$D497.2A.
B10.D$D498.2A11.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D511.D$D
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#C [[ STEP 50 STOP 12000 ]]

The two new additions are
1) the nine-signal burst gun that sets the ladder to the S0 position instead of the B0 position, triggered only if there was a METACELL ON output at the end of the last metatick.
2) a sample period 2^N gun.

The pattern above tests the B0 bit in the eater-array rule table, then the B3 as before, and finally (because the cell turned ON due to B3) it ends up ready to tests the S0 bit. I didn't put in a third TEST signal, but if that went in, the metastate would end up back at OFF again.

The gun will need a few more semi-Snarks, to give neighboring metacells time to send signals in to the ladder circuit to be counted. But that won't add much to its size, so we're starting to get a rough sense of the final size of the required circuitry here. The red frame above is 513 cells on a side.

The gun also has to be wired up to produce the three TEST signals at an appropriate time. That will take some space, but not a whole lot. I'll probably just use a chain of semi-Snarks from one of the other outputs of the base 256 gun, to have full control over the timing of that output.

I was hoping to reserve an octagonal patch in the center of the metacell for a metapixel display area. That may still work, but it might have to be a little off-center like the OTCA pixel. I can push the ladder circuit a good bit farther southwest for the next update, but it will only go just so far without a major reworking of the PULL circuitry... but that's probably due about now anyway.

EDIT: Provisional rework -- don't worry about the horribly inefficient wiring on the TEST signal, that will all get a lot smaller and more efficient. The clock gun will prettly clearly have to be bumped up to at least p8192, to give time for the nine PULL signals that set up the ladder for a metacell ON state.

You can see if you run the pattern below past T=7000 that the next TEST signal interrupts the PULLs halfway through. That can be optimized enough to work, probably, but after the nine setup PULLs we also have to wait for eight signals to come in from neighboring metacells. That will be the next problem to solve, after reworking the TEST wiring and moving the nine-signal burst gun to make a little more room at the south edge.

Code: Select all
x = 537, y = 513, rule = LifeHistory
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$513D!
#C [[ STEP 10 STOP 3964 ]]
dvgrn
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