Binary slow salvos

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
calcyman
Posts: 2591
Joined: June 1st, 2009, 4:32 pm

Re: Binary slow salvos

calcyman wrote:
March 22nd, 2022, 9:09 pm
I'm going to try gathering a larger set of elbow move operations for efficiency. But already, the likely size of an RCT is now 2^millions instead of 2^billions.
It was more convenient to take a single-blinker as the standard elbow, rather than a double-blinker. (All of the double-blinker recipes in the previous post turn into a single-blinker after the first 3 steps, so they can be ported over.)

We now have 'push by 2' (annotated as -2) and 'pull by {2, 3, 4, 5, 6, 7, 9, 12, 15, 18}':

Code: Select all

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510\$513.2A\$512.A.A\$514.A510\$.2A\$A.A\$2.A!``````
Note that unfortunately, this means that there isn't an efficient way to push an elbow long distances (since we need to move it 2fd at a time).

A workaround is to use the 'DUP' and 'DEL' reactions on the far left of the pattern: DUP is an elbow duplication (pull by 0 and 10 simultaneously, if you like) and DEL deletes the most recent elbow. So instead of moving an elbow back and forth, you can keep a single distant elbow fixed, and keep spawning off single-use elbows from that.

Excitingly, when it's in 'crystal-growing mode' (in the DUP reaction, for example) it takes only 6 steps to extend the crystal by 4fd. This means that long-distance pulls can be made quite efficient indeed, and the reactions above can be used to do the final adjustment mod 4.

This means that we'll probably be able to get away with about 200-300 bits per emitted slow-salvo glider. So the real question is: how many slow-salvo gliders does it take to bootstrap up from this inefficient construction arm to a much more efficient construction arm? Tens of thousands?
What do you do with ill crystallographers? Take them to the mono-clinic!

dvgrn
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Re: Binary slow salvos

calcyman wrote:
March 23rd, 2022, 6:05 am
This means that we'll probably be able to get away with about 200-300 bits per emitted slow-salvo glider. So the real question is: how many slow-salvo gliders does it take to bootstrap up from this inefficient construction arm to a much more efficient construction arm?
Oh, no -- here we go again with one step forward and two steps back! You've worked out a radical simplification in the complexity of a 17G RCT ... and now you immediately want to add a new layer of complexity to make up for it.

Yes, I do agree that bootstrapping an efficient construction arm will reduce the total number of bits by an impressive amount. It just makes it that much harder to complete a workable RCT demo: the efficient construction arm will have to build a self-destruct mechanism for itself as well as all of the other incredible mess that it will have to clean up.
calcyman wrote:
March 23rd, 2022, 6:05 am
Tens of thousands?
At first glance, these estimates all seem so wildly optimistic to me -- I was also going to write back and say that "2^millions instead of 2^billions" seemed to me like it should have been "2^billions instead of 2^trillions"... but maybe I wasn't taking the efficient-construction-arm stage into account, and anyway I haven't worked through any kind of detailed cost estimate recently, so I could be just plain wrong as usual.

But we're not just talking about a cheap block-keeper here any more, right? -- we need some actual logic circuitry for a DBCA (Decoder and Better Construction Arm, see the block-keeper link).

Some More Detailed Wild Estimates
Let's see, just to get some kind of perspective, something to compare to: the recipe for the main circuitry in the orthogonal loopship is on the order of a thousand gliders -- 810 for the actual recipe, but that's not counting the hundreds of gliders to get the arm into position, so let's just say a thousand.

The main loopship circuit doesn't really do anything complicated at all -- it just splits a signal stream into two signal streams, and relies on cheap one-time circuitry to accomplish all the necessary switching between stages. On the other hand, it can support single-channel streams, which the DBCA certainly won't have to do.

Someone please correct me wherever I'm wrong, but I think that a "much more efficient construction arm" is going to have to

1) highway-rob one signal from the two 6fd-separated signals

A glider-constructible highway robber... we don't have one handy, but it's probably the same rough order of complexity as a loopship splitter circuit. However, at least the key deflector piece(s) of this one will have to be built right on the construction-arm -- so we'll have to build and trigger a seed for the deflector piece(s). Say two thousand gliders in all.

2) drop in a Snark or other reflector to deflect the other input signal

At least part of this should probably be another stage of the above highway-robber seed. If the reflector is a Silver reflector, maybe half of it could be safely built by the initial construction arm, but the other half is in the "construction zone". The biggest headache in the 10hd/0hd Demonoid project was building the relatively few catalysts that had to be in the construction zones -- hard to estimate.

It might be simplest to approximate this by saying that we'll just build and trigger seed for a slow-salvo synthesis for a Snark -- we know how to do those. That's just about 100 gliders emitted by the seed, and an order of magnitude more gliders to build the seed, so that's another thousand gliders.

3) build the decision circuitry
Now we need some actual logic circuits! Let's say we build glider-constructible circuitry for the usual four-instruction construction arm, so 00 = INC, 01 = DEC, 10 = FIREBLACK, 11 = FIREWHITE. We could get away with just the first three of those, and that would mean we'd have to build less circuitry with the initial inefficient construction arm, but then our DBCA could only use monochromatic slow salvo recipes and would be kinda wasting the "11" option, so it would be a DNATMBCA (Decoder and Not All That Much Better Construction Arm). Let's just not go there.

I can't give a good estimate offhand for the cost of a DBCA. There's never been an actual glider-constructed pattern that included a built-in decoder -- even the Gemini spaceship didn't do that, though it did plenty of other off-the-wall crazy stuff. We'd have to look at constructor-memory-tape.rle and constructor-memory-loop.rle to get a general size estimate, but those were supposed to be just prototypes, not optimized for size, and built with Early Bronze Age Life technology anyway.

Maybe a better estimate could come from the rebuilt sliding-block register in the original pi calculator, which was designed to be glider-constructible (because it got borrowed from the Spartan Universal Computer-Constructor, if I'm getting the timeline right). That sliding-block register has two possible salvos that it can fire at its moving block, and we need four instructions, so "about twice that size".

That old sliding-block register has 850-ish still lifes (rough estimate from population, we're not worrying about the small stuff here.) So averaging out all kinds of uncertainties like the fact that we don't have four simple inputs, we have two successive gliders coming in in two possible places and will have to build circuitry to deal with that -- say we'll need two thousand still lifes. Say ten or fifteen gliders to build each still life, which means the total cost of that part is twenty or thirty thousand gliders fed into the initial inefficient construction arm.

-- Not bad at all! That's precisely exactly "tens of thousands" of gliders!

(Again, we get away with not counting the self-destruct mechanism for the DBCA, because the DBCA can build a meteor-shower seed to clean itself up, at a relatively insignificant cost.)

So, to finish up the estimate...
The quoted DUP and DEL cost per slow-salvo glider looks plausible, so I'll use that until some actual test results come in: 20,000 to 30,000 recipe gliders times 200 to 300 is a nice round 4 to 9 million RCT bits -- just to convert to an efficient construction arm so that the hard part of the construction can get started.

That is indeed precisely exactly "2^millions" for an RCT size ... but we've got a lot of very expensive Cordership seeds left to build. We'll be in "2^(tens of millions)" almost immediately, and "2^(hundreds of millions)" before we're done, at the very least. I'm still thinking "2^billions" will end up being the likely final minimum size.

... It will be a much lower number of billions than it would have been otherwise, though!

calcyman
Posts: 2591
Joined: June 1st, 2009, 4:32 pm

Re: Binary slow salvos

dvgrn wrote:
March 23rd, 2022, 8:12 am
So, to finish up the estimate...
The quoted DUP and DEL cost per slow-salvo glider looks plausible, so I'll use that until some actual test results come in: 20,000 to 30,000 recipe gliders times 200 to 300 is a nice round 4 to 9 million RCT bits -- just to convert to an efficient construction arm so that the hard part of the construction can get started.

That is indeed precisely exactly "2^millions" for an RCT size ... but we've got a lot of very expensive Cordership seeds left to build. We'll be in "2^(tens of millions)" almost immediately, and "2^(hundreds of millions)" before we're done, at the very least. I'm still thinking "2^billions" will end up being the likely final minimum size.

... It will be a much lower number of billions than it would have been otherwise, though!
The very expensive Cordership seeds would be built by the DBCA, would they not? So they no longer cost 200-300 bits per recipe glider. That is, after all, the main point of adding this complicated extra circuitry.

Regarding those Cordership seeds...

There's actually a low-cost (compared with everything else) enhancement that can be added to the DBCA: since we're converting the incoming 6hd gliders into binary data, we can avoid decoding it and instead just freeze the binary data onto a tape. Specifically, the always-present glider in the 6hd pair is converted into a salvo that pushes a sliding block; the coding glider is converted into a salvo that emplaces a boat or something.

Now, usefully, we know exactly when we're getting to the end of the recipe, because the gliders from the RCT suddenly become much closer together as we approach the singularity. Once that happens, we can trigger some one-time circuitry that activates (a suitably modernised version of) the constructor-memory-tape.rle pattern, which destructively thaws the binary tape and decodes it into useful construction arm operations.

The huge upshot is that the 'frozen' recipe will be thawed and executed after all of the GPSEs have crashed, so we can clean up the settled junk directly (no need to add another stage of freezing!). That is to say, we can just shoot down pieces of junk using slow gliders, instead of having to build a massive array of OTTs that assembles such a salvo of slow gliders. We can build Cordership seeds and launch them individually before moving on to the next one (IIRC, Chris Cain's cleanup salvos were slow Cordership salvos rather than synchronised assemblies of Corderships).

So, when you said...
dvgrn wrote:
March 23rd, 2022, 8:12 am
Oh, no -- here we go again with one step forward and two steps back! You've worked out a radical simplification in the complexity of a 17G RCT ... and now you immediately want to add a new layer of complexity to make up for it.
...I'm not sure that I entirely agree. I've added a new stage to the construction, but removed a layer of indirection. In other words, I've traded a multiplicative cost for an additive one, and reduced the height of the stack of abstractions that needs to be juggled. Moreover, this new stage is a fun Herschel plumbing exercise (very much in the style of constructor-memory-tape.rle) instead of a VLSI-esque layout problem of arranging myriads of OTTs.

My estimate still stands in either "high single-digit millions" (perhaps unreasonably optimistic?) or "low double-digit millions" (more likely) of overall recipe bits. I fully expect most of those bits to be in the construction of the DBCA.
What do you do with ill crystallographers? Take them to the mono-clinic!

dvgrn
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Re: Binary slow salvos

calcyman wrote:
March 23rd, 2022, 10:16 am
The very expensive Cordership seeds would be built by the DBCA, would they not? So they no longer cost 200-300 bits per recipe glider. That is, after all, the main point of adding this complicated extra circuitry.
It's only an order of magnitude lower than that, though, right? -- 20-30 bits per recipe glider, since we need still two bits per instruction (or at least we did with the DBCA I was describing) and it will take ten or fifteen elbow moves per FIRE instruction, especially since we'll only have INC1 and DEC1, no nice library of alternate recipes.

The problem of building all the required cleanup stuff, no matter how we do it, is easily an order of magnitude larger than the problem of building the DBCA -- so I'm still thinking The Rest Of The Story will turn out to be a significant part of the estimate. Haven't done the rest of the estimating yet, so I have no idea how significant.
calcyman wrote:
March 23rd, 2022, 10:16 am
My estimate still stands in either "high single-digit millions" (perhaps unreasonably optimistic?) or "low double-digit millions" (more likely) of overall recipe bits. I fully expect most of those bits to be in the construction of the DBCA.
That last sentence seems to have increased odds of being true, just because you've sneakily added some more circuitry to the DBCA spec to do the stable information storage trick, which would have to be built with the initial inefficient construction arm. Instead of a structure vaguely comparable to two sliding-block registers (2000 still lifes) we now need a structure vaguely comparable to the entire constructor-memory-tape.rle mechanism.

... Which, heh, seems to be about the same size, oddly enough, now that I look at it! constructor-memory-tape.rle is very roughly 2500 still lifes, and I know how unoptimized that design was so it can probably be cut down by at least 20% with a modern redesign. Yay, I can just keep the same crackpot estimates as before -- until someone points out other places where they're really terribly wrong.

And Now... The Rest Of The Story
-- For that estimate of the remaining post-DBCA cost, wouldn't you say a large fraction of of the cleanup will have to be done with at least slow^2 gliders, to reach around various corners? For example, we'll need to clean up all of the non-repeating parts of the crashed GPSEs before we start sending Corderships, and also send out super-long-distance salvos along the GPSEs' paths, to adjust the ash splotches at the GPSE source locations. Have to make sure that those splotches can catch the Cordership fleets without releasing gliders.

If we do that last task in one of the simpler ways, arranging things so that that after all the Corderships are done cleaning up the ash trails and crashing, there's nothing left Way Out Yonder at all ... then a lot of that preparatory work cleaning up the non-repetitive source location ash will actually be slow^3 gliders -- two orders of magnitude up from the DBCA construction. Building the "one-time Cordership catchers" will only be slow^2 -- or slow^1 in some but not all cases, if the DBCA's construction arm can be arranged to be perpendicular to most of the GPSEs.

The DBCA isn't a single-channel construction arm, and it's not a 9hd/10hd arm either -- it can't fire gliders in two opposite directions, left and right from the elbow, unless we build in extra recipes to do that. That extra functionality would cost a lot more in terms of circuitry, and also in terms of more bits needed on the static tape to encode the larger recipe list. So it seems like the alternatives to the "lots of slow^2 gliders" option are going to be pretty expensive, too, though maybe still worthwhile.

EDIT: Shamelessly stealing a diagram that calcyman posted on Discord:
DBCA-geometry.png (18.9 KiB) Viewed 1075 times
... this makes it clear that

A) all the nearby GPSE-crash cleanup can be done by gliders firing SWward from the DBCA;
B) there's room to build meteor-shower seeds in the SW half-plane to clean up the faraway blobs.

These seeds can all be triggered by a glider bouncing back from one of the faraway blobs. Which is an absolutely terrible way to get anything done in a reasonable amount of time, but we're already talking about RCT construction here so never mind about that.

dvgrn
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Re: Binary slow salvos

Meant to post this as a suggestion: hotDogPi suggested on Discord a couple of days ago that "just a shillelagh" might be a good example pattern to get the RCT building a sample of something.

I looked up how expensive shillelaghs really are, and it turns out they're nine gliders from a block no matter what the orientation is:

Code: Select all

``````x = 435, y = 159, rule = B3/S23
2o\$2o98b2o198b2o\$100b2o98b2o98b2o\$200b2o2\$3o\$o109b2o188b3o\$bo108bobo
96b3o88bo\$110bo98bo91bo\$210bo4\$315b3o\$315bo\$13b3o300bo\$13bo\$14bo207b3o
\$23b3o196bo\$23bo95b2o102bo\$24bo94bobo\$119bo195b3o\$30b3o282bo\$30bo285bo
\$31bo6\$236bo\$130bo104b2o\$129b2o104bobo\$129bobo2\$227bo\$226b2o\$226bobo3\$
38bo\$37b2o98bo\$37bobo8b3o85b2o\$48bo87bobo\$49bo2\$51b3o\$51bo101b2o\$52bo
100bobo9bo\$153bo10b2o\$164bobo7\$56bo\$55b2o\$55bobo3\$170b2o81b3o\$170bobo
80bo\$170bo83bo2\$350b3o\$350bo\$351bo3\$361bo\$360b2o\$360bobo\$168b2o\$168bob
o\$59b3o106bo\$59bo\$60bo\$179bo\$178b2o115bo\$178bobo113b2o\$294bobo8\$315bo\$
314b2o\$314bobo3\$382b3o\$301bo80bo\$300b2o81bo\$300bobo8\$320bo\$319b2o\$319b
obo\$388b3o\$388bo\$389bo32\$424b3o\$424bo\$425bo11\$432b3o\$432bo\$433bo!``````
Nine gliders, plus creating the block in the first place, does seem like a good size for a sample pattern, just to show the new DUP/DEL recipes in action.

calcyman
Posts: 2591
Joined: June 1st, 2009, 4:32 pm

Re: Binary slow salvos

calcyman wrote:
March 23rd, 2022, 6:05 am
This means that we'll probably be able to get away with about 200-300 bits per emitted slow-salvo glider.
I think that we can actually do somewhat better than this.

There's a 9-step 4fd DUP (which extends a blinker crystal) and a 13-step compatible DEL. There's also a 19-step double-DEL for more efficient crystal retraction (it beats the 26 steps to do two consecutive DELs):

Code: Select all

``````x = 9649, y = 9636, rule = LifeHistory
9390.3C125.3C125.3C4\$9386.3C125.3C125.3C4\$9382.3C125.3C125.3C4\$9378.
3C125.3C125.3C4\$9374.3C125.3C125.3C4\$9370.3C125.3C125.3C4\$9366.3C125.
3C125.3C4\$9362.3C125.3C125.3C4\$9358.3C125.3C125.3C4\$9354.3C125.3C125.
3C340\$9008.3A125.3A125.3A\$9010.A127.A127.A\$9009.A127.A127.A39\$8961.2A
126.2A126.2A\$8960.A.A125.A.A125.A.A\$8962.A127.A127.A510\$8449.2A126.2A
126.2A\$8448.A.A125.A.A125.A.A\$8450.A127.A127.A510\$7937.2A126.2A126.2A
\$7936.A.A125.A.A125.A.A\$7938.A127.A127.A469\$7472.3A253.3A\$7474.A255.A
\$7473.A255.A39\$7425.2A126.2A126.2A\$7424.A.A125.A.A125.A.A\$7426.A127.A
127.A469\$7088.3A\$7090.A\$7089.A39\$6913.2A126.2A126.2A\$6912.A.A125.A.A
125.A.A\$6914.A127.A127.A510\$6401.2A126.2A126.2A\$6400.A.A125.A.A125.A.
A\$6402.A127.A127.A469\$6192.3A\$6194.A\$6193.A39\$5889.2A126.2A126.2A\$
5888.A.A125.A.A125.A.A\$5890.A127.A127.A510\$5377.2A126.2A126.2A\$5376.A
.A125.A.A125.A.A\$5378.A127.A127.A469\$5040.3A\$5042.A\$5041.A39\$4865.2A
126.2A126.2A\$4864.A.A125.A.A125.A.A\$4866.A127.A127.A469\$4656.3A\$4658.
A\$4657.A39\$4481.2A126.2A\$4480.A.A125.A.A\$4482.A127.A510\$3969.2A126.2A
\$3968.A.A125.A.A\$3970.A127.A469\$3504.3A\$3506.A\$3505.A39\$3457.2A126.2A
\$3456.A.A125.A.A\$3458.A127.A510\$2945.2A126.2A\$2944.A.A125.A.A\$2946.A
127.A510\$2561.2A\$2560.A.A\$2562.A510\$2049.2A\$2048.A.A\$2050.A510\$1537.
2A\$1536.A.A\$1538.A469\$1072.3A\$1074.A\$1073.A39\$1025.2A\$1024.A.A\$1026.A
510\$513.2A\$512.A.A\$514.A469\$48.3A\$50.A\$49.A39\$.2A\$A.A\$2.A!``````
On top of this, we get the correct mod-4 residue by using either the 5fd, 6fd, or 15fd pull, or nothing at all. (Occasionally it's necessary to use the 12fd pull instead of nothing at all, specifically if it's being followed by the one destructive glider-emission reaction whose reaction envelope renders it incompatible with the existence of a blinker 4fd north-east of the consumed blinker.) For efficiency, some of the other pulls may be helpful to reduce the number of crystal DELs and DUPs.

The destructive glider-emission reactions are {71, 43, 75, 77} steps, respectively:

Code: Select all

``````x = 39309, y = 39296, rule = LifeHistory
38922.3C125.3C125.3C125.3C340\$38576.3A125.3A125.3A125.3A\$38578.A127.A
127.A127.A\$38577.A127.A127.A127.A39\$38529.2A126.2A126.2A126.2A\$38528.
A.A125.A.A125.A.A125.A.A\$38530.A127.A127.A127.A510\$38017.2A126.2A126.
2A126.2A\$38016.A.A125.A.A125.A.A125.A.A\$38018.A127.A127.A127.A510\$
37505.2A126.2A126.2A126.2A\$37504.A.A125.A.A125.A.A125.A.A\$37506.A127.
A127.A127.A469\$37040.3A125.3A125.3A125.3A\$37042.A127.A127.A127.A\$
37041.A127.A127.A127.A39\$36993.2A126.2A126.2A126.2A\$36992.A.A125.A.A
125.A.A125.A.A\$36994.A127.A127.A127.A510\$36481.2A126.2A126.2A126.2A\$
36480.A.A125.A.A125.A.A125.A.A\$36482.A127.A127.A127.A510\$35969.2A126.
2A126.2A126.2A\$35968.A.A125.A.A125.A.A125.A.A\$35970.A127.A127.A127.A
469\$35504.3A253.3A125.3A\$35506.A255.A127.A\$35505.A255.A127.A39\$35457.
2A126.2A126.2A126.2A\$35456.A.A125.A.A125.A.A125.A.A\$35458.A127.A127.A
127.A510\$34945.2A126.2A126.2A126.2A\$34944.A.A125.A.A125.A.A125.A.A\$
34946.A127.A127.A127.A510\$34433.2A126.2A126.2A126.2A\$34432.A.A125.A.A
125.A.A125.A.A\$34434.A127.A127.A127.A469\$33968.3A125.3A125.3A125.3A\$
33970.A127.A127.A127.A\$33969.A127.A127.A127.A39\$33921.2A126.2A126.2A
126.2A\$33920.A.A125.A.A125.A.A125.A.A\$33922.A127.A127.A127.A510\$
33409.2A126.2A126.2A126.2A\$33408.A.A125.A.A125.A.A125.A.A\$33410.A127.
A127.A127.A510\$32897.2A126.2A126.2A126.2A\$32896.A.A125.A.A125.A.A125.
A.A\$32898.A127.A127.A127.A469\$32432.3A125.3A253.3A\$32434.A127.A255.A\$
32433.A127.A255.A39\$32385.2A126.2A126.2A126.2A\$32384.A.A125.A.A125.A.
A125.A.A\$32386.A127.A127.A127.A510\$31873.2A126.2A126.2A126.2A\$31872.A
.A125.A.A125.A.A125.A.A\$31874.A127.A127.A127.A510\$31361.2A126.2A126.
2A126.2A\$31360.A.A125.A.A125.A.A125.A.A\$31362.A127.A127.A127.A469\$
30896.3A125.3A253.3A\$30898.A127.A255.A\$30897.A127.A255.A39\$30849.2A
126.2A126.2A126.2A\$30848.A.A125.A.A125.A.A125.A.A\$30850.A127.A127.A
127.A510\$30337.2A126.2A126.2A126.2A\$30336.A.A125.A.A125.A.A125.A.A\$
30338.A127.A127.A127.A510\$29825.2A126.2A126.2A126.2A\$29824.A.A125.A.A
125.A.A125.A.A\$29826.A127.A127.A127.A469\$29360.3A125.3A125.3A125.3A\$
29362.A127.A127.A127.A\$29361.A127.A127.A127.A39\$29313.2A126.2A126.2A
126.2A\$29312.A.A125.A.A125.A.A125.A.A\$29314.A127.A127.A127.A510\$
28801.2A126.2A126.2A126.2A\$28800.A.A125.A.A125.A.A125.A.A\$28802.A127.
A127.A127.A510\$28289.2A126.2A126.2A126.2A\$28288.A.A125.A.A125.A.A125.
A.A\$28290.A127.A127.A127.A469\$27824.3A125.3A125.3A125.3A\$27826.A127.A
127.A127.A\$27825.A127.A127.A127.A39\$27777.2A126.2A126.2A126.2A\$27776.
A.A125.A.A125.A.A125.A.A\$27778.A127.A127.A127.A510\$27265.2A126.2A126.
2A126.2A\$27264.A.A125.A.A125.A.A125.A.A\$27266.A127.A127.A127.A510\$
26753.2A126.2A126.2A126.2A\$26752.A.A125.A.A125.A.A125.A.A\$26754.A127.
A127.A127.A469\$26288.3A125.3A125.3A125.3A\$26290.A127.A127.A127.A\$
26289.A127.A127.A127.A39\$26241.2A126.2A126.2A126.2A\$26240.A.A125.A.A
125.A.A125.A.A\$26242.A127.A127.A127.A510\$25729.2A126.2A126.2A126.2A\$
25728.A.A125.A.A125.A.A125.A.A\$25730.A127.A127.A127.A510\$25217.2A126.
2A126.2A126.2A\$25216.A.A125.A.A125.A.A125.A.A\$25218.A127.A127.A127.A
469\$24752.3A253.3A125.3A\$24754.A255.A127.A\$24753.A255.A127.A39\$24705.
2A126.2A126.2A126.2A\$24704.A.A125.A.A125.A.A125.A.A\$24706.A127.A127.A
127.A469\$24240.3A\$24242.A\$24241.A39\$24193.2A126.2A126.2A126.2A\$24192.
A.A125.A.A125.A.A125.A.A\$24194.A127.A127.A127.A510\$23681.2A126.2A126.
2A126.2A\$23680.A.A125.A.A125.A.A125.A.A\$23682.A127.A127.A127.A469\$
23472.3A\$23474.A\$23473.A39\$23169.2A126.2A126.2A126.2A\$23168.A.A125.A.
A125.A.A125.A.A\$23170.A127.A127.A127.A469\$22704.3A\$22706.A\$22705.A39\$
22657.2A126.2A126.2A126.2A\$22656.A.A125.A.A125.A.A125.A.A\$22658.A127.
A127.A127.A510\$22145.2A126.2A126.2A126.2A\$22144.A.A125.A.A125.A.A125.
A.A\$22146.A127.A127.A127.A469\$21808.3A125.3A125.3A\$21810.A127.A127.A\$
21809.A127.A127.A39\$21633.2A126.2A126.2A126.2A\$21632.A.A125.A.A125.A.
A125.A.A\$21634.A127.A127.A127.A469\$21168.3A\$21170.A\$21169.A39\$21121.
2A126.2A126.2A126.2A\$21120.A.A125.A.A125.A.A125.A.A\$21122.A127.A127.A
127.A469\$20656.3A\$20658.A\$20657.A39\$20609.2A126.2A126.2A126.2A\$20608.
A.A125.A.A125.A.A125.A.A\$20610.A127.A127.A127.A469\$20272.3A253.3A\$
20274.A255.A\$20273.A255.A39\$20097.2A126.2A126.2A126.2A\$20096.A.A125.A
.A125.A.A125.A.A\$20098.A127.A127.A127.A510\$19585.2A126.2A126.2A126.2A
\$19584.A.A125.A.A125.A.A125.A.A\$19586.A127.A127.A127.A469\$19376.3A\$
19378.A\$19377.A39\$19073.2A126.2A126.2A126.2A\$19072.A.A125.A.A125.A.A
125.A.A\$19074.A127.A127.A127.A469\$18736.3A253.3A\$18738.A255.A\$18737.A
255.A39\$18561.2A126.2A126.2A126.2A\$18560.A.A125.A.A125.A.A125.A.A\$
18562.A127.A127.A127.A510\$18049.2A126.2A126.2A126.2A\$18048.A.A125.A.A
125.A.A125.A.A\$18050.A127.A127.A127.A469\$17712.3A253.3A\$17714.A255.A\$
17713.A255.A39\$17537.2A126.2A126.2A126.2A\$17536.A.A125.A.A125.A.A125.
A.A\$17538.A127.A127.A127.A469\$17200.3A125.3A125.3A\$17202.A127.A127.A\$
17201.A127.A127.A39\$17025.2A126.2A126.2A126.2A\$17024.A.A125.A.A125.A.
A125.A.A\$17026.A127.A127.A127.A469\$16560.3A253.3A125.3A\$16562.A255.A
127.A\$16561.A255.A127.A39\$16513.2A254.2A126.2A\$16512.A.A253.A.A125.A.
A\$16514.A255.A127.A469\$16304.3A\$16306.A\$16305.A39\$16001.2A254.2A126.
2A\$16000.A.A253.A.A125.A.A\$16002.A255.A127.A510\$15489.2A254.2A126.2A\$
15488.A.A253.A.A125.A.A\$15490.A255.A127.A469\$15024.3A\$15026.A\$15025.A
39\$14977.2A254.2A126.2A\$14976.A.A253.A.A125.A.A\$14978.A255.A127.A510\$
14465.2A254.2A126.2A\$14464.A.A253.A.A125.A.A\$14466.A255.A127.A469\$
14256.3A\$14258.A\$14257.A39\$13953.2A254.2A126.2A\$13952.A.A253.A.A125.A
.A\$13954.A255.A127.A469\$13488.3A253.3A125.3A\$13490.A255.A127.A\$13489.
A255.A127.A39\$13441.2A254.2A126.2A\$13440.A.A253.A.A125.A.A\$13442.A
255.A127.A469\$12976.3A253.3A\$12978.A255.A\$12977.A255.A39\$12929.2A254.
2A126.2A\$12928.A.A253.A.A125.A.A\$12930.A255.A127.A510\$12417.2A254.2A
126.2A\$12416.A.A253.A.A125.A.A\$12418.A255.A127.A469\$12336.3A\$12338.A\$
12337.A39\$11905.2A254.2A126.2A\$11904.A.A253.A.A125.A.A\$11906.A255.A
127.A469\$11696.3A\$11698.A\$11697.A39\$11393.2A254.2A126.2A\$11392.A.A
253.A.A125.A.A\$11394.A255.A127.A510\$10881.2A254.2A126.2A\$10880.A.A
253.A.A125.A.A\$10882.A255.A127.A469\$10416.3A\$10418.A\$10417.A39\$10369.
2A254.2A126.2A\$10368.A.A253.A.A125.A.A\$10370.A255.A127.A510\$9857.2A
254.2A126.2A\$9856.A.A253.A.A125.A.A\$9858.A255.A127.A510\$9345.2A254.2A
126.2A\$9344.A.A253.A.A125.A.A\$9346.A255.A127.A469\$8880.3A253.3A\$8882.
A255.A\$8881.A255.A39\$8833.2A254.2A126.2A\$8832.A.A253.A.A125.A.A\$8834.
A255.A127.A510\$8321.2A254.2A126.2A\$8320.A.A253.A.A125.A.A\$8322.A255.A
127.A469\$8112.3A125.3A\$8114.A127.A\$8113.A127.A39\$7809.2A254.2A126.2A\$
7808.A.A253.A.A125.A.A\$7810.A255.A127.A469\$7600.3A\$7602.A\$7601.A39\$
7297.2A254.2A126.2A\$7296.A.A253.A.A125.A.A\$7298.A255.A127.A469\$6832.
3A253.3A\$6834.A255.A\$6833.A255.A39\$6785.2A254.2A126.2A\$6784.A.A253.A.
A125.A.A\$6786.A255.A127.A469\$6320.3A253.3A125.3A\$6322.A255.A127.A\$
6321.A255.A127.A39\$6273.2A254.2A126.2A\$6272.A.A253.A.A125.A.A\$6274.A
255.A127.A469\$5808.3A\$5810.A\$5809.A39\$5761.2A254.2A126.2A\$5760.A.A
253.A.A125.A.A\$5762.A255.A127.A469\$5552.3A\$5554.A\$5553.A39\$5249.2A
254.2A126.2A\$5248.A.A253.A.A125.A.A\$5250.A255.A127.A469\$5040.3A125.3A
\$5042.A127.A\$5041.A127.A39\$4737.2A254.2A126.2A\$4736.A.A253.A.A125.A.A
\$4738.A255.A127.A510\$4225.2A254.2A126.2A\$4224.A.A253.A.A125.A.A\$4226.
A255.A127.A510\$3713.2A254.2A126.2A\$3712.A.A253.A.A125.A.A\$3714.A255.A
127.A469\$3632.3A\$3634.A\$3633.A39\$3201.2A254.2A126.2A\$3200.A.A253.A.A
125.A.A\$3202.A255.A127.A469\$2992.3A125.3A\$2994.A127.A\$2993.A127.A39\$
2689.2A254.2A126.2A\$2688.A.A253.A.A125.A.A\$2690.A255.A127.A469\$2480.
3A\$2482.A\$2481.A39\$2433.2A126.2A\$2432.A.A125.A.A\$2434.A127.A469\$1968.
3A125.3A\$1970.A127.A\$1969.A127.A39\$1921.2A126.2A\$1920.A.A125.A.A\$
1922.A127.A510\$1409.2A126.2A\$1408.A.A125.A.A\$1410.A127.A469\$944.3A
125.3A\$946.A127.A\$945.A127.A39\$897.2A126.2A\$896.A.A125.A.A\$898.A127.A
469\$560.3A\$562.A\$561.A39\$513.2A\$512.A.A\$514.A469\$48.3A\$50.A\$49.A39\$.
2A\$A.A\$2.A!
#C [[ MAXGRIDSIZE 14 ]]``````
I'll attempt to collect some more of these destructive glider-emission reactions so that we can reduce how often we need to use mod-4 adjustments.
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman
Posts: 2591
Joined: June 1st, 2009, 4:32 pm

Re: Binary slow salvos

calcyman wrote:
March 26th, 2022, 11:46 am
I'll attempt to collect some more of these destructive glider-emission reactions so that we can reduce how often we need to use mod-4 adjustments.
Over the last couple of days, I've found reactions for 14 out of the 16 different combinations of mod-2 phase and mod-8 lane, where the reactions have the additional property that their reaction envelopes are compatible with the target blinker having another blinker 4fd northeast thereof (as is the case when the blinker is at the front of a crystal).

I'm doing some more exploration in a different area of the search space, in order to attempt to find representatives for the remaining two equivalence classes. It's not going to be catastrophic if they remain elusive, because we can still use mod-4 adjustments to cover those cases.

The search also found some more blinker-moving recipes, including an 88-step 6fd push (approximately 3.5x more efficient than the 104-step 2fd push that we had before):

Code: Select all

``````#C 88-step recipe to push a blinker by 6fd
#C currently the most efficient push reaction
x = 44941, y = 44928, rule = LifeHistory
44938.3C340\$44592.3A\$44594.A\$44593.A39\$44545.2A\$44544.A.A\$44546.A510\$
44033.2A\$44032.A.A\$44034.A510\$43521.2A\$43520.A.A\$43522.A469\$43056.3A\$
43058.A\$43057.A39\$43009.2A\$43008.A.A\$43010.A510\$42497.2A\$42496.A.A\$
42498.A510\$41985.2A\$41984.A.A\$41986.A469\$41520.3A\$41522.A\$41521.A39\$
41473.2A\$41472.A.A\$41474.A510\$40961.2A\$40960.A.A\$40962.A510\$40449.2A\$
40448.A.A\$40450.A469\$39984.3A\$39986.A\$39985.A39\$39937.2A\$39936.A.A\$
39938.A510\$39425.2A\$39424.A.A\$39426.A510\$38913.2A\$38912.A.A\$38914.A
469\$38448.3A\$38450.A\$38449.A39\$38401.2A\$38400.A.A\$38402.A510\$37889.2A
\$37888.A.A\$37890.A510\$37377.2A\$37376.A.A\$37378.A469\$36912.3A\$36914.A\$
36913.A39\$36865.2A\$36864.A.A\$36866.A510\$36353.2A\$36352.A.A\$36354.A
510\$35841.2A\$35840.A.A\$35842.A469\$35376.3A\$35378.A\$35377.A39\$35329.2A
\$35328.A.A\$35330.A510\$34817.2A\$34816.A.A\$34818.A510\$34305.2A\$34304.A.
A\$34306.A469\$33840.3A\$33842.A\$33841.A39\$33793.2A\$33792.A.A\$33794.A
510\$33281.2A\$33280.A.A\$33282.A510\$32769.2A\$32768.A.A\$32770.A469\$
32304.3A\$32306.A\$32305.A39\$32257.2A\$32256.A.A\$32258.A510\$31745.2A\$
31744.A.A\$31746.A510\$31233.2A\$31232.A.A\$31234.A469\$30768.3A\$30770.A\$
30769.A39\$30721.2A\$30720.A.A\$30722.A510\$30209.2A\$30208.A.A\$30210.A
510\$29697.2A\$29696.A.A\$29698.A469\$29232.3A\$29234.A\$29233.A39\$29185.2A
\$29184.A.A\$29186.A510\$28673.2A\$28672.A.A\$28674.A510\$28161.2A\$28160.A.
A\$28162.A469\$27696.3A\$27698.A\$27697.A39\$27649.2A\$27648.A.A\$27650.A
510\$27137.2A\$27136.A.A\$27138.A510\$26625.2A\$26624.A.A\$26626.A469\$
26160.3A\$26162.A\$26161.A39\$26113.2A\$26112.A.A\$26114.A510\$25601.2A\$
25600.A.A\$25602.A510\$25089.2A\$25088.A.A\$25090.A469\$24624.3A\$24626.A\$
24625.A39\$24577.2A\$24576.A.A\$24578.A469\$24112.3A\$24114.A\$24113.A39\$
24065.2A\$24064.A.A\$24066.A510\$23553.2A\$23552.A.A\$23554.A469\$23088.3A\$
23090.A\$23089.A39\$23041.2A\$23040.A.A\$23042.A469\$22576.3A\$22578.A\$
22577.A39\$22529.2A\$22528.A.A\$22530.A510\$22017.2A\$22016.A.A\$22018.A
510\$21505.2A\$21504.A.A\$21506.A510\$20993.2A\$20992.A.A\$20994.A510\$
20481.2A\$20480.A.A\$20482.A510\$19969.2A\$19968.A.A\$19970.A469\$19504.3A\$
19506.A\$19505.A39\$19457.2A\$19456.A.A\$19458.A510\$18945.2A\$18944.A.A\$
18946.A510\$18433.2A\$18432.A.A\$18434.A469\$17968.3A\$17970.A\$17969.A39\$
17921.2A\$17920.A.A\$17922.A510\$17409.2A\$17408.A.A\$17410.A510\$16897.2A\$
16896.A.A\$16898.A510\$16385.2A\$16384.A.A\$16386.A469\$15920.3A\$15922.A\$
15921.A39\$15873.2A\$15872.A.A\$15874.A469\$15408.3A\$15410.A\$15409.A39\$
15361.2A\$15360.A.A\$15362.A510\$14849.2A\$14848.A.A\$14850.A469\$14384.3A\$
14386.A\$14385.A39\$14337.2A\$14336.A.A\$14338.A469\$13872.3A\$13874.A\$
13873.A39\$13825.2A\$13824.A.A\$13826.A469\$13360.3A\$13362.A\$13361.A39\$
13313.2A\$13312.A.A\$13314.A510\$12801.2A\$12800.A.A\$12802.A510\$12289.2A\$
12288.A.A\$12290.A510\$11777.2A\$11776.A.A\$11778.A469\$11312.3A\$11314.A\$
11313.A39\$11265.2A\$11264.A.A\$11266.A510\$10753.2A\$10752.A.A\$10754.A
510\$10241.2A\$10240.A.A\$10242.A510\$9729.2A\$9728.A.A\$9730.A510\$9217.2A\$
9216.A.A\$9218.A469\$8752.3A\$8754.A\$8753.A39\$8705.2A\$8704.A.A\$8706.A
510\$8193.2A\$8192.A.A\$8194.A510\$7681.2A\$7680.A.A\$7682.A469\$7216.3A\$
7218.A\$7217.A39\$7169.2A\$7168.A.A\$7170.A510\$6657.2A\$6656.A.A\$6658.A
510\$6145.2A\$6144.A.A\$6146.A510\$5633.2A\$5632.A.A\$5634.A469\$5168.3A\$
5170.A\$5169.A39\$5121.2A\$5120.A.A\$5122.A469\$4656.3A\$4658.A\$4657.A39\$
4609.2A\$4608.A.A\$4610.A469\$4144.3A\$4146.A\$4145.A39\$4097.2A\$4096.A.A\$
4098.A510\$3585.2A\$3584.A.A\$3586.A510\$3073.2A\$3072.A.A\$3074.A510\$2561.
2A\$2560.A.A\$2562.A469\$2096.3A\$2098.A\$2097.A39\$2049.2A\$2048.A.A\$2050.A
510\$1537.2A\$1536.A.A\$1538.A469\$1072.3A\$1074.A\$1073.A39\$1025.2A\$1024.A
.A\$1026.A510\$513.2A\$512.A.A\$514.A510\$.2A\$A.A\$2.A!``````
We're probably a full factor of 2 more efficient now than in the original estimate of "200-300 bits per slow-salvo glider".

I don't think that we yet have a self-constructor with a static binary tape (like constructor-memory-tape) instead of a glider/spaceship stream (like constructor-memory-loop and all of the Geminoids), do we? That would be a practical non-RCT application of these binary slow salvos, and also be more amenable to dense storage (in particular, without the HashLife-unfriendliness of the 0E0P metacell's tape).
What do you do with ill crystallographers? Take them to the mono-clinic!

dvgrn
Moderator
Posts: 8931
Joined: May 17th, 2009, 11:00 pm
Contact:

Re: Binary slow salvos

calcyman wrote:
March 27th, 2022, 2:23 pm
I don't think that we yet have a self-constructor with a static binary tape (like constructor-memory-tape) instead of a glider/spaceship stream (like constructor-memory-loop and all of the Geminoids), do we?
Definitely not. All development of technology along static-tape lines stopped dead in the water over a decade ago when the Gemini spaceship showed up like a bolt from the blue.

The only partial exception is the recent rework of the binary data storage device for the Life textbook's version of the pi calculator. That didn't have to be glider-constructible, though, and so it isn't. It would have to be rebuilt from the ground up to be useful here.

There's also been a little bit of discussion of a self-constructor that copies a field of blocks, once at full scale to get an exact copy, and once at reduced scale to get a Blockic seed pattern that can be triggered to build a copy of the copier mechanism... but that's a huge project and hasn't gotten very far yet.
calcyman wrote:
March 27th, 2022, 2:23 pm
That would be a practical non-RCT application of these binary slow salvos, and also be more amenable to dense storage (in particular, without the HashLife-unfriendliness of the 0E0P metacell's tape).
If we're talking about dense storage ... maybe it's finally time to rebuild one of the few pieces of the pi calculator that didn't get reworked for the Life textbook. It would be interesting to see what the SQ / B2D component would look like, if it were rebuilt from the ground up in 2022. But I suppose there are two independent projects there, one with glider-constructible circuitry and one with regular anything-goes compact welded stuff.

Then maybe we could just steal pieces out of those projects, if only a 1D tape was needed.

calcyman
Posts: 2591
Joined: June 1st, 2009, 4:32 pm

Re: Binary slow salvos

calcyman wrote:
March 27th, 2022, 2:23 pm
Over the last couple of days, I've found reactions for 14 out of the 16 different combinations of mod-2 phase and mod-8 lane, where the reactions have the additional property that their reaction envelopes are compatible with the target blinker having another blinker 4fd northeast thereof (as is the case when the blinker is at the front of a crystal).

I'm doing some more exploration in a different area of the search space, in order to attempt to find representatives for the remaining two equivalence classes. It's not going to be catastrophic if they remain elusive, because we can still use mod-4 adjustments to cover those cases.
Here's the set of glider emission reactions, including at least one representative for all 16 combinations of even/odd phase and mod-8 lane:

Code: Select all

``````{'o10': '2112111112112112112112112111111112112112122',
'e38': '2112111112112112112112112111111211121112111111121121211211111121211',
'o17': '21121121121121121121121121122112112211111112112112211112112111222111111',
'o18': '211211211211211211211211112111211212212211211211112112221111121122112221',
'e33': '2112112112112112112112111112112112122211111211121111111111112111211111121',
'o34': '21121111211211211211211211111121121121121121121111111121121121222211121221',
'o26': '21121111211211211211111112112112112112112111111112112112122121122211121221',
'e29': '21121121121121121121121121121111121121121222111112112111111121121121122121222',
'e46': '21121111211211112112112112112112111111211121112111111121121211111121122211121121',
'o42': '21121111121121121121111112112112112111111121121121121121121111111121121121221212',
'o61': '211211211211211211112112111212221121121122112111211212111211111111211111112111212',
'e43': '2112112112112112112112112112112112112112221121122211211212222111122221111111122222',
'o50': '211211111211211211211112112112112112112111111121121121121121121111111121121121221212',
'o37': '21121121121121121111211111211212112111121121121121112112112112112112222112212211121221',
'o43': '21121121121111121121121121111211112122112112112112111111121112111122121121121112222111',
'o25': '211211112112112112112112112112112112211211221111111211211221111211211122211112211121122',
'e7': '211211112112112112112112112112112112111121121121121111211112121211121122221111221111211',
'o46': '2112112112112112112112111121111111221221121121121121111121221121121121121122111112111222',
'e18': '2112111121121121121121121121121111111121121121121121222112112111111111111111112222121222',
'e-3': '2112111112112112112112112112112112112111121112112122122112112111111121121121112121112122',
'e60': '21121121121121121121121121122211111211222112111121211211111121122212111121111111211212211',
'o52': '21121121121121121121121111121121121121111211112211111211211211211111121121221122111121121',
'e45': '211211211211211211211211211221111112112112122211121121121122112111211221121111121122122112',
'o51': '211211211211211211112112112112112112111121121121222112111211111111111111122112111121221211',
'e9': '211211211211211211112112112112111121111212111121121121121121112211211211212121121112111221',
'o27': '211211211211112112112112112112111121112112122121211111111111211121211112112212111211111221',
'e51': '211211112112112112112112112112112112112112112112221121122211211212222211122221111111122222',
'o33': '2112112112112112112112211211212112112111112121111111211121221112111211121111111111112112121',
'o23': '2112112112112112112112112112211111122121111211211211211211212211112111211121121112211212112',
'o21': '2112111121121121121121121121122111112112112221121121121111121112121122222211121122211121221',
'o6': '211211211211211211112111112112121121121121111121112111211112112112211211212112112211211111111122',
'o22': '2112112112112112112112112112211211221111111211211212112112112112211211212211211212112111211111211',
'o29': '2112112112111121121121121121121121122111112112112211121121121121111121112121122222212112111111212',
'o60': '2112111121121121121121121121121111121121121121111211112211111211211211211111121121221122111121122',
'e37': '211211211211211211211211211211211211111211211212111211211112112112112111111111121121121122122211222',
'e41': '211211211211211211211211111211211211211112111121221111111211121112211211222112111112111111111111222',
'e52': '211211211211211211112112112112111121111212111121121111211211211211211211211211112111121122112111212',
'o41': '2112112112112112112112112112211211212112112111112121111111111211121221112111211111111122111211121121',
'o5': '2112112112112112112112111112112112112111121111212211211211211211211211211221121121211111211122121111',
'e39': '21121111211211211211211211211221121122111111121121121211211211111211211222111211121111111211111112211',
'e30': '211211211211211211211211211221121122111111121121121211211221121121211211221122111121112111211111112211',
'o39': '211211211211211211211211211211211211112111122212111211221111121121121121121122112112121111211222111112',
'o35': '211211112112112112112112111121121121121111211112121111211211112112112112111111211212211221122211121221',
'e36': '2112112112112112111121111122212112111121121121121121121121121121122112112121111121222211121111111111121',
'o14': '21121121121121121121121111211111211212112112112111112111211121111211211221121121211112112221211111111122',
'o24': '21121121121111211211211211211211112112112122121121121121121121121122112112122112112111221111111111111112',
'e40': '21121121121121121121121121121121121111121121121211121111112211122111211211211211211211211211112111121122212',
'o9': '211211211211211211112112111212221121121121121121121121121121121121221121121211111211211221111211211111122211',
'e48': '21121121121121121121122111121121112211221122211112112112112112112112211211211111211112111112222121112111111122',
'e28': '21121121121121121121121121122211211212111112111211122121222112112112112111112111211121111112212112211211121221',
'o38': '21121121121121121121121121121121122211111211211121211211211221111121112111211111111112112111121121121121121111',
'o49': '21121121121121121121121121121121122122112112111112121211121121111211211112112112112112112211211222121111211122',
'e53': '21121111211211112112112112112112112112211211212112112111112121111112112112112112111211112112221221122211121221',
'e20': '21121121121121121111211211211211112111121211211211111211211211211111121121121222122111111221112111211111111121',
'e25': '21121121121121121111211211211211111211211211211112111122221211112112111112112112112111121111212211211121112211',
'o16': '21121121121111211211112112112112111112112112121111211211112112112111211111211211211211211211111112112112122112',
'o2': '211211211211211221121122111111121121121211211211211211112221211112112112111111121211221111111112211111211121121',
'e34': '211211211211211211211221121122111111121121121211211211211221121121211211221121111121121211211121111111111111211',
'e24': '211211211211211211211211211221121122111111121121122112112211211111211212112112112112121121122112112111112121111',
'e50': '211211211211211211211211211211211222112112211221111211212111112111211212112111112111211122111121121121121121121',
'o20': '211211211211211211211211211211211211111211211212111211211111112111211122212112112112122222121112112112111112211',
'o8': '211211211211211211211211211211111211211211211112111122111111111112112112112112112211211211221222111211111112211',
'e35': '211211211211211211211211112112112112111121111212111121121121121122211112112112112112112121212112111211112211222',
'e13': '2112112112112112112112211112112111221122112221111211211211211211211221121121211211221112112121211211121111111111',
'o59': '2112111121121121121121121111121121121121111211112122112112112112111112111211112212112121222112111112111111112112',
'e-2': '2112112112112112111112112112112111121111221111121121121121121121121122112112211111112111111211211221111111111221',
'e19': '2112111112112111121121111211211211211211221121111111221111221121111211211211211111121112122212111112221111112212',
'e-13': '21121121121121121121121121121121122211211221111111211111211121112211211211211212112112111222211112111111121111222'}
``````
EDIT: fixed an off-by-one error
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman
Posts: 2591
Joined: June 1st, 2009, 4:32 pm

Re: Binary slow salvos

dvgrn wrote:
March 25th, 2022, 5:22 pm
Nine gliders, plus creating the block in the first place, does seem like a good size for a sample pattern, just to show the new DUP/DEL recipes in action.
As an even simpler example pattern, here's a 777-bit recipe to create a distant block and leave the elbow unchanged:

Code: Select all

``'211211111211211211211111211211211211112111122111112112111112112112111111112112111112211121121121121121121111121121121211121121121121111121121121122112112121121122111112121111212112111112112111112112111112112111112112111112112111112112111121121121121121121121121121121111211211211211112111121212111211222211112211112112112111121121121121121121121121111111121121121121121222112112111111111111111112222121222211211111211211112112111121121121121121122112111111122111122112111121121121121111112111212221211111222111111221221121121121121121121121121122211211212111112111211122121222112112112112111112111211121111112212112211211121221211211211211211211211211111211211212221111121112111111111111211121111112121121121121121121121121121121111121121121222111112112111111121121121122121222'``
Here's a LifeHistory pattern (best viewed in Golly at step size 8^4; zoom in to the upper-right corner to see the action).

Code: Select all

``````x = 397709, y = 397696, rule = LifeHistory
397706.3C340\$397360.3A\$397362.A\$397361.A39\$397313.2A\$397312.A.A\$
397314.A510\$396801.2A\$396800.A.A\$396802.A510\$396289.2A\$396288.A.A\$
396290.A469\$395824.3A\$395826.A\$395825.A39\$395777.2A\$395776.A.A\$
395778.A510\$395265.2A\$395264.A.A\$395266.A510\$394753.2A\$394752.A.A\$
394754.A510\$394241.2A\$394240.A.A\$394242.A510\$393729.2A\$393728.A.A\$
393730.A510\$393217.2A\$393216.A.A\$393218.A469\$392752.3A\$392754.A\$
392753.A39\$392705.2A\$392704.A.A\$392706.A510\$392193.2A\$392192.A.A\$
392194.A510\$391681.2A\$391680.A.A\$391682.A469\$391216.3A\$391218.A\$
391217.A39\$391169.2A\$391168.A.A\$391170.A510\$390657.2A\$390656.A.A\$
390658.A510\$390145.2A\$390144.A.A\$390146.A469\$389680.3A\$389682.A\$
389681.A39\$389633.2A\$389632.A.A\$389634.A510\$389121.2A\$389120.A.A\$
389122.A510\$388609.2A\$388608.A.A\$388610.A469\$388144.3A\$388146.A\$
388145.A39\$388097.2A\$388096.A.A\$388098.A510\$387585.2A\$387584.A.A\$
387586.A510\$387073.2A\$387072.A.A\$387074.A510\$386561.2A\$386560.A.A\$
386562.A510\$386049.2A\$386048.A.A\$386050.A510\$385537.2A\$385536.A.A\$
385538.A469\$385072.3A\$385074.A\$385073.A39\$385025.2A\$385024.A.A\$
385026.A510\$384513.2A\$384512.A.A\$384514.A510\$384001.2A\$384000.A.A\$
384002.A469\$383536.3A\$383538.A\$383537.A39\$383489.2A\$383488.A.A\$
383490.A510\$382977.2A\$382976.A.A\$382978.A510\$382465.2A\$382464.A.A\$
382466.A469\$382000.3A\$382002.A\$382001.A39\$381953.2A\$381952.A.A\$
381954.A510\$381441.2A\$381440.A.A\$381442.A510\$380929.2A\$380928.A.A\$
380930.A469\$380464.3A\$380466.A\$380465.A39\$380417.2A\$380416.A.A\$
380418.A510\$379905.2A\$379904.A.A\$379906.A510\$379393.2A\$379392.A.A\$
379394.A510\$378881.2A\$378880.A.A\$378882.A510\$378369.2A\$378368.A.A\$
378370.A469\$377904.3A\$377906.A\$377905.A39\$377857.2A\$377856.A.A\$
377858.A510\$377345.2A\$377344.A.A\$377346.A510\$376833.2A\$376832.A.A\$
376834.A510\$376321.2A\$376320.A.A\$376322.A510\$375809.2A\$375808.A.A\$
375810.A469\$375344.3A\$375346.A\$375345.A39\$375297.2A\$375296.A.A\$
375298.A469\$374832.3A\$374834.A\$374833.A39\$374785.2A\$374784.A.A\$
374786.A510\$374273.2A\$374272.A.A\$374274.A510\$373761.2A\$373760.A.A\$
373762.A510\$373249.2A\$373248.A.A\$373250.A510\$372737.2A\$372736.A.A\$
372738.A510\$372225.2A\$372224.A.A\$372226.A469\$371760.3A\$371762.A\$
371761.A39\$371713.2A\$371712.A.A\$371714.A510\$371201.2A\$371200.A.A\$
371202.A510\$370689.2A\$370688.A.A\$370690.A469\$370224.3A\$370226.A\$
370225.A39\$370177.2A\$370176.A.A\$370178.A510\$369665.2A\$369664.A.A\$
369666.A510\$369153.2A\$369152.A.A\$369154.A510\$368641.2A\$368640.A.A\$
368642.A510\$368129.2A\$368128.A.A\$368130.A510\$367617.2A\$367616.A.A\$
367618.A469\$367152.3A\$367154.A\$367153.A39\$367105.2A\$367104.A.A\$
367106.A510\$366593.2A\$366592.A.A\$366594.A510\$366081.2A\$366080.A.A\$
366082.A469\$365616.3A\$365618.A\$365617.A39\$365569.2A\$365568.A.A\$
365570.A510\$365057.2A\$365056.A.A\$365058.A510\$364545.2A\$364544.A.A\$
364546.A469\$364080.3A\$364082.A\$364081.A39\$364033.2A\$364032.A.A\$
364034.A510\$363521.2A\$363520.A.A\$363522.A510\$363009.2A\$363008.A.A\$
363010.A510\$362497.2A\$362496.A.A\$362498.A510\$361985.2A\$361984.A.A\$
361986.A510\$361473.2A\$361472.A.A\$361474.A510\$360961.2A\$360960.A.A\$
360962.A510\$360449.2A\$360448.A.A\$360450.A510\$359937.2A\$359936.A.A\$
359938.A469\$359472.3A\$359474.A\$359473.A39\$359425.2A\$359424.A.A\$
359426.A510\$358913.2A\$358912.A.A\$358914.A510\$358401.2A\$358400.A.A\$
358402.A469\$357936.3A\$357938.A\$357937.A39\$357889.2A\$357888.A.A\$
357890.A510\$357377.2A\$357376.A.A\$357378.A510\$356865.2A\$356864.A.A\$
356866.A510\$356353.2A\$356352.A.A\$356354.A510\$355841.2A\$355840.A.A\$
355842.A510\$355329.2A\$355328.A.A\$355330.A469\$354864.3A\$354866.A\$
354865.A39\$354817.2A\$354816.A.A\$354818.A469\$354352.3A\$354354.A\$
354353.A39\$354305.2A\$354304.A.A\$354306.A510\$353793.2A\$353792.A.A\$
353794.A510\$353281.2A\$353280.A.A\$353282.A510\$352769.2A\$352768.A.A\$
352770.A469\$352304.3A\$352306.A\$352305.A39\$352257.2A\$352256.A.A\$
352258.A510\$351745.2A\$351744.A.A\$351746.A510\$351233.2A\$351232.A.A\$
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510\$51713.2A\$51712.A.A\$51714.A510\$51201.2A\$51200.A.A\$51202.A510\$
50689.2A\$50688.A.A\$50690.A510\$50177.2A\$50176.A.A\$50178.A510\$49665.2A\$
49664.A.A\$49666.A510\$49153.2A\$49152.A.A\$49154.A510\$48641.2A\$48640.A.A
\$48642.A510\$48129.2A\$48128.A.A\$48130.A510\$47617.2A\$47616.A.A\$47618.A
510\$47105.2A\$47104.A.A\$47106.A510\$46593.2A\$46592.A.A\$46594.A510\$
46081.2A\$46080.A.A\$46082.A469\$45616.3A\$45618.A\$45617.A39\$45569.2A\$
45568.A.A\$45570.A510\$45057.2A\$45056.A.A\$45058.A510\$44545.2A\$44544.A.A
\$44546.A510\$44033.2A\$44032.A.A\$44034.A469\$43568.3A\$43570.A\$43569.A39\$
43521.2A\$43520.A.A\$43522.A510\$43009.2A\$43008.A.A\$43010.A510\$42497.2A\$
42496.A.A\$42498.A510\$41985.2A\$41984.A.A\$41986.A510\$41473.2A\$41472.A.A
\$41474.A510\$40961.2A\$40960.A.A\$40962.A510\$40449.2A\$40448.A.A\$40450.A
469\$39984.3A\$39986.A\$39985.A39\$39937.2A\$39936.A.A\$39938.A510\$39425.2A
\$39424.A.A\$39426.A469\$38960.3A\$38962.A\$38961.A39\$38913.2A\$38912.A.A\$
38914.A510\$38401.2A\$38400.A.A\$38402.A510\$37889.2A\$37888.A.A\$37890.A
469\$37424.3A\$37426.A\$37425.A39\$37377.2A\$37376.A.A\$37378.A510\$36865.2A
\$36864.A.A\$36866.A510\$36353.2A\$36352.A.A\$36354.A469\$35888.3A\$35890.A\$
35889.A39\$35841.2A\$35840.A.A\$35842.A510\$35329.2A\$35328.A.A\$35330.A
510\$34817.2A\$34816.A.A\$34818.A469\$34352.3A\$34354.A\$34353.A39\$34305.2A
\$34304.A.A\$34306.A510\$33793.2A\$33792.A.A\$33794.A510\$33281.2A\$33280.A.
A\$33282.A469\$32816.3A\$32818.A\$32817.A39\$32769.2A\$32768.A.A\$32770.A
510\$32257.2A\$32256.A.A\$32258.A510\$31745.2A\$31744.A.A\$31746.A469\$
31280.3A\$31282.A\$31281.A39\$31233.2A\$31232.A.A\$31234.A510\$30721.2A\$
30720.A.A\$30722.A510\$30209.2A\$30208.A.A\$30210.A469\$29744.3A\$29746.A\$
29745.A39\$29697.2A\$29696.A.A\$29698.A510\$29185.2A\$29184.A.A\$29186.A
510\$28673.2A\$28672.A.A\$28674.A469\$28208.3A\$28210.A\$28209.A39\$28161.2A
\$28160.A.A\$28162.A510\$27649.2A\$27648.A.A\$27650.A510\$27137.2A\$27136.A.
A\$27138.A469\$26672.3A\$26674.A\$26673.A39\$26625.2A\$26624.A.A\$26626.A
510\$26113.2A\$26112.A.A\$26114.A510\$25601.2A\$25600.A.A\$25602.A469\$
25136.3A\$25138.A\$25137.A39\$25089.2A\$25088.A.A\$25090.A510\$24577.2A\$
24576.A.A\$24578.A510\$24065.2A\$24064.A.A\$24066.A510\$23553.2A\$23552.A.A
\$23554.A510\$23041.2A\$23040.A.A\$23042.A510\$22529.2A\$22528.A.A\$22530.A
469\$22064.3A\$22066.A\$22065.A39\$22017.2A\$22016.A.A\$22018.A510\$21505.2A
\$21504.A.A\$21506.A510\$20993.2A\$20992.A.A\$20994.A469\$20528.3A\$20530.A\$
20529.A39\$20481.2A\$20480.A.A\$20482.A510\$19969.2A\$19968.A.A\$19970.A
510\$19457.2A\$19456.A.A\$19458.A469\$18992.3A\$18994.A\$18993.A39\$18945.2A
\$18944.A.A\$18946.A510\$18433.2A\$18432.A.A\$18434.A469\$17968.3A\$17970.A\$
17969.A39\$17921.2A\$17920.A.A\$17922.A469\$17456.3A\$17458.A\$17457.A39\$
17409.2A\$17408.A.A\$17410.A469\$16944.3A\$16946.A\$16945.A39\$16897.2A\$
16896.A.A\$16898.A510\$16385.2A\$16384.A.A\$16386.A510\$15873.2A\$15872.A.A
\$15874.A510\$15361.2A\$15360.A.A\$15362.A510\$14849.2A\$14848.A.A\$14850.A
510\$14337.2A\$14336.A.A\$14338.A469\$13872.3A\$13874.A\$13873.A39\$13825.2A
\$13824.A.A\$13826.A510\$13313.2A\$13312.A.A\$13314.A510\$12801.2A\$12800.A.
A\$12802.A469\$12336.3A\$12338.A\$12337.A39\$12289.2A\$12288.A.A\$12290.A
510\$11777.2A\$11776.A.A\$11778.A510\$11265.2A\$11264.A.A\$11266.A510\$
10753.2A\$10752.A.A\$10754.A510\$10241.2A\$10240.A.A\$10242.A510\$9729.2A\$
9728.A.A\$9730.A510\$9217.2A\$9216.A.A\$9218.A510\$8705.2A\$8704.A.A\$8706.A
469\$8240.3A\$8242.A\$8241.A39\$8193.2A\$8192.A.A\$8194.A510\$7681.2A\$7680.A
.A\$7682.A510\$7169.2A\$7168.A.A\$7170.A469\$6704.3A\$6706.A\$6705.A39\$6657.
2A\$6656.A.A\$6658.A510\$6145.2A\$6144.A.A\$6146.A510\$5633.2A\$5632.A.A\$
5634.A469\$5168.3A\$5170.A\$5169.A39\$5121.2A\$5120.A.A\$5122.A510\$4609.2A\$
4608.A.A\$4610.A510\$4097.2A\$4096.A.A\$4098.A469\$3632.3A\$3634.A\$3633.A
39\$3585.2A\$3584.A.A\$3586.A469\$3120.3A\$3122.A\$3121.A39\$3073.2A\$3072.A.
A\$3074.A510\$2561.2A\$2560.A.A\$2562.A469\$2096.3A\$2098.A\$2097.A39\$2049.
2A\$2048.A.A\$2050.A510\$1537.2A\$1536.A.A\$1538.A469\$1072.3A\$1074.A\$1073.
A39\$1025.2A\$1024.A.A\$1026.A469\$560.3A\$562.A\$561.A39\$513.2A\$512.A.A\$
514.A469\$48.3A\$50.A\$49.A39\$.2A\$A.A\$2.A!``````
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman
Posts: 2591
Joined: June 1st, 2009, 4:32 pm

Re: Binary slow salvos

dvgrn wrote:
March 25th, 2022, 5:22 pm
Meant to post this as a suggestion: hotDogPi suggested on Discord a couple of days ago that "just a shillelagh" might be a good example pattern to get the RCT building a sample of something.

I looked up how expensive shillelaghs really are, and it turns out they're nine gliders from a block no matter what the orientation is:

Code: Select all

``````x = 435, y = 159, rule = B3/S23
2o\$2o98b2o198b2o\$100b2o98b2o98b2o\$200b2o2\$3o\$o109b2o188b3o\$bo108bobo
96b3o88bo\$110bo98bo91bo\$210bo4\$315b3o\$315bo\$13b3o300bo\$13bo\$14bo207b3o
\$23b3o196bo\$23bo95b2o102bo\$24bo94bobo\$119bo195b3o\$30b3o282bo\$30bo285bo
\$31bo6\$236bo\$130bo104b2o\$129b2o104bobo\$129bobo2\$227bo\$226b2o\$226bobo3\$
38bo\$37b2o98bo\$37bobo8b3o85b2o\$48bo87bobo\$49bo2\$51b3o\$51bo101b2o\$52bo
100bobo9bo\$153bo10b2o\$164bobo7\$56bo\$55b2o\$55bobo3\$170b2o81b3o\$170bobo
80bo\$170bo83bo2\$350b3o\$350bo\$351bo3\$361bo\$360b2o\$360bobo\$168b2o\$168bob
o\$59b3o106bo\$59bo\$60bo\$179bo\$178b2o115bo\$178bobo113b2o\$294bobo8\$315bo\$
314b2o\$314bobo3\$382b3o\$301bo80bo\$300b2o81bo\$300bobo8\$320bo\$319b2o\$319b
obo\$388b3o\$388bo\$389bo32\$424b3o\$424bo\$425bo11\$432b3o\$432bo\$433bo!``````
Nine gliders, plus creating the block in the first place, does seem like a good size for a sample pattern, just to show the new DUP/DEL recipes in action.
Here's a 1775-bit shillelagh recipe (777 to generate the faraway block, and 998 for the nine construction gliders).

Code: Select all

``````x = 908685, y = 908672, rule = LifeHistory
908682.3C340\$908336.3A\$908338.A\$908337.A39\$908289.2A\$908288.A.A\$
908290.A510\$907777.2A\$907776.A.A\$907778.A510\$907265.2A\$907264.A.A\$
907266.A469\$906800.3A\$906802.A\$906801.A39\$906753.2A\$906752.A.A\$
906754.A510\$906241.2A\$906240.A.A\$906242.A510\$905729.2A\$905728.A.A\$
905730.A510\$905217.2A\$905216.A.A\$905218.A510\$904705.2A\$904704.A.A\$
904706.A510\$904193.2A\$904192.A.A\$904194.A469\$903728.3A\$903730.A\$
903729.A39\$903681.2A\$903680.A.A\$903682.A510\$903169.2A\$903168.A.A\$
903170.A510\$902657.2A\$902656.A.A\$902658.A469\$902192.3A\$902194.A\$
902193.A39\$902145.2A\$902144.A.A\$902146.A510\$901633.2A\$901632.A.A\$
901634.A510\$901121.2A\$901120.A.A\$901122.A469\$900656.3A\$900658.A\$
900657.A39\$900609.2A\$900608.A.A\$900610.A510\$900097.2A\$900096.A.A\$
900098.A510\$899585.2A\$899584.A.A\$899586.A469\$899120.3A\$899122.A\$
899121.A39\$899073.2A\$899072.A.A\$899074.A510\$898561.2A\$898560.A.A\$
898562.A510\$898049.2A\$898048.A.A\$898050.A510\$897537.2A\$897536.A.A\$
897538.A510\$897025.2A\$897024.A.A\$897026.A510\$896513.2A\$896512.A.A\$
896514.A469\$896048.3A\$896050.A\$896049.A39\$896001.2A\$896000.A.A\$
896002.A510\$895489.2A\$895488.A.A\$895490.A510\$894977.2A\$894976.A.A\$
894978.A469\$894512.3A\$894514.A\$894513.A39\$894465.2A\$894464.A.A\$
894466.A510\$893953.2A\$893952.A.A\$893954.A510\$893441.2A\$893440.A.A\$
893442.A469\$892976.3A\$892978.A\$892977.A39\$892929.2A\$892928.A.A\$
892930.A510\$892417.2A\$892416.A.A\$892418.A510\$891905.2A\$891904.A.A\$
891906.A469\$891440.3A\$891442.A\$891441.A39\$891393.2A\$891392.A.A\$
891394.A510\$890881.2A\$890880.A.A\$890882.A510\$890369.2A\$890368.A.A\$
890370.A510\$889857.2A\$889856.A.A\$889858.A510\$889345.2A\$889344.A.A\$
889346.A469\$888880.3A\$888882.A\$888881.A39\$888833.2A\$888832.A.A\$
888834.A510\$888321.2A\$888320.A.A\$888322.A510\$887809.2A\$887808.A.A\$
887810.A510\$887297.2A\$887296.A.A\$887298.A510\$886785.2A\$886784.A.A\$
886786.A469\$886320.3A\$886322.A\$886321.A39\$886273.2A\$886272.A.A\$
886274.A469\$885808.3A\$885810.A\$885809.A39\$885761.2A\$885760.A.A\$
885762.A510\$885249.2A\$885248.A.A\$885250.A510\$884737.2A\$884736.A.A\$
884738.A510\$884225.2A\$884224.A.A\$884226.A510\$883713.2A\$883712.A.A\$
883714.A510\$883201.2A\$883200.A.A\$883202.A469\$882736.3A\$882738.A\$
882737.A39\$882689.2A\$882688.A.A\$882690.A510\$882177.2A\$882176.A.A\$
882178.A510\$881665.2A\$881664.A.A\$881666.A469\$881200.3A\$881202.A\$
881201.A39\$881153.2A\$881152.A.A\$881154.A510\$880641.2A\$880640.A.A\$
880642.A510\$880129.2A\$880128.A.A\$880130.A510\$879617.2A\$879616.A.A\$
879618.A510\$879105.2A\$879104.A.A\$879106.A510\$878593.2A\$878592.A.A\$
878594.A469\$878128.3A\$878130.A\$878129.A39\$878081.2A\$878080.A.A\$
878082.A510\$877569.2A\$877568.A.A\$877570.A510\$877057.2A\$877056.A.A\$
877058.A469\$876592.3A\$876594.A\$876593.A39\$876545.2A\$876544.A.A\$
876546.A510\$876033.2A\$876032.A.A\$876034.A510\$875521.2A\$875520.A.A\$
875522.A469\$875056.3A\$875058.A\$875057.A39\$875009.2A\$875008.A.A\$
875010.A510\$874497.2A\$874496.A.A\$874498.A510\$873985.2A\$873984.A.A\$
873986.A510\$873473.2A\$873472.A.A\$873474.A510\$872961.2A\$872960.A.A\$
872962.A510\$872449.2A\$872448.A.A\$872450.A510\$871937.2A\$871936.A.A\$
871938.A510\$871425.2A\$871424.A.A\$871426.A510\$870913.2A\$870912.A.A\$
870914.A469\$870448.3A\$870450.A\$870449.A39\$870401.2A\$870400.A.A\$
870402.A510\$869889.2A\$869888.A.A\$869890.A510\$869377.2A\$869376.A.A\$
869378.A469\$868912.3A\$868914.A\$868913.A39\$868865.2A\$868864.A.A\$
868866.A510\$868353.2A\$868352.A.A\$868354.A510\$867841.2A\$867840.A.A\$
867842.A510\$867329.2A\$867328.A.A\$867330.A510\$866817.2A\$866816.A.A\$
866818.A510\$866305.2A\$866304.A.A\$866306.A469\$865840.3A\$865842.A\$
865841.A39\$865793.2A\$865792.A.A\$865794.A469\$865328.3A\$865330.A\$
865329.A39\$865281.2A\$865280.A.A\$865282.A510\$864769.2A\$864768.A.A\$
864770.A510\$864257.2A\$864256.A.A\$864258.A510\$863745.2A\$863744.A.A\$
863746.A469\$863280.3A\$863282.A\$863281.A39\$863233.2A\$863232.A.A\$
863234.A510\$862721.2A\$862720.A.A\$862722.A510\$862209.2A\$862208.A.A\$
862210.A469\$861744.3A\$861746.A\$861745.A39\$861697.2A\$861696.A.A\$
861698.A510\$861185.2A\$861184.A.A\$861186.A510\$860673.2A\$860672.A.A\$
860674.A469\$860208.3A\$860210.A\$860209.A39\$860161.2A\$860160.A.A\$
860162.A510\$859649.2A\$859648.A.A\$859650.A510\$859137.2A\$859136.A.A\$
859138.A469\$858672.3A\$858674.A\$858673.A39\$858625.2A\$858624.A.A\$
858626.A510\$858113.2A\$858112.A.A\$858114.A510\$857601.2A\$857600.A.A\$
857602.A469\$857136.3A\$857138.A\$857137.A39\$857089.2A\$857088.A.A\$
857090.A510\$856577.2A\$856576.A.A\$856578.A510\$856065.2A\$856064.A.A\$
856066.A469\$855600.3A\$855602.A\$855601.A39\$855553.2A\$855552.A.A\$
855554.A510\$855041.2A\$855040.A.A\$855042.A510\$854529.2A\$854528.A.A\$
854530.A510\$854017.2A\$854016.A.A\$854018.A510\$853505.2A\$853504.A.A\$
853506.A510\$852993.2A\$852992.A.A\$852994.A469\$852528.3A\$852530.A\$
852529.A39\$852481.2A\$852480.A.A\$852482.A510\$851969.2A\$851968.A.A\$
851970.A510\$851457.2A\$851456.A.A\$851458.A469\$850992.3A\$850994.A\$
850993.A39\$850945.2A\$850944.A.A\$850946.A510\$850433.2A\$850432.A.A\$
850434.A510\$849921.2A\$849920.A.A\$849922.A469\$849456.3A\$849458.A\$
849457.A39\$849409.2A\$849408.A.A\$849410.A510\$848897.2A\$848896.A.A\$
848898.A469\$848432.3A\$848434.A\$848433.A39\$848385.2A\$848384.A.A\$
848386.A510\$847873.2A\$847872.A.A\$847874.A510\$847361.2A\$847360.A.A\$
847362.A510\$846849.2A\$846848.A.A\$846850.A469\$846384.3A\$846386.A\$
846385.A39\$846337.2A\$846336.A.A\$846338.A510\$845825.2A\$845824.A.A\$
845826.A510\$845313.2A\$845312.A.A\$845314.A469\$844848.3A\$844850.A\$
844849.A39\$844801.2A\$844800.A.A\$844802.A510\$844289.2A\$844288.A.A\$
844290.A510\$843777.2A\$843776.A.A\$843778.A469\$843312.3A\$843314.A\$
843313.A39\$843265.2A\$843264.A.A\$843266.A510\$842753.2A\$842752.A.A\$
842754.A510\$842241.2A\$842240.A.A\$842242.A469\$841776.3A\$841778.A\$
841777.A39\$841729.2A\$841728.A.A\$841730.A510\$841217.2A\$841216.A.A\$
841218.A510\$840705.2A\$840704.A.A\$840706.A510\$840193.2A\$840192.A.A\$
840194.A510\$839681.2A\$839680.A.A\$839682.A510\$839169.2A\$839168.A.A\$
839170.A469\$838704.3A\$838706.A\$838705.A39\$838657.2A\$838656.A.A\$
838658.A510\$838145.2A\$838144.A.A\$838146.A510\$837633.2A\$837632.A.A\$
837634.A469\$837168.3A\$837170.A\$837169.A39\$837121.2A\$837120.A.A\$
837122.A510\$836609.2A\$836608.A.A\$836610.A510\$836097.2A\$836096.A.A\$
836098.A469\$835632.3A\$835634.A\$835633.A39\$835585.2A\$835584.A.A\$
835586.A510\$835073.2A\$835072.A.A\$835074.A510\$834561.2A\$834560.A.A\$
834562.A469\$834096.3A\$834098.A\$834097.A39\$834049.2A\$834048.A.A\$
834050.A469\$833584.3A\$833586.A\$833585.A39\$833537.2A\$833536.A.A\$
833538.A510\$833025.2A\$833024.A.A\$833026.A510\$832513.2A\$832512.A.A\$
832514.A469\$832048.3A\$832050.A\$832049.A39\$832001.2A\$832000.A.A\$
832002.A510\$831489.2A\$831488.A.A\$831490.A510\$830977.2A\$830976.A.A\$
830978.A469\$830512.3A\$830514.A\$830513.A39\$830465.2A\$830464.A.A\$
830466.A510\$829953.2A\$829952.A.A\$829954.A469\$829488.3A\$829490.A\$
829489.A39\$829441.2A\$829440.A.A\$829442.A510\$828929.2A\$828928.A.A\$
828930.A510\$828417.2A\$828416.A.A\$828418.A469\$827952.3A\$827954.A\$
827953.A39\$827905.2A\$827904.A.A\$827906.A510\$827393.2A\$827392.A.A\$
827394.A510\$826881.2A\$826880.A.A\$826882.A469\$826416.3A\$826418.A\$
826417.A39\$826369.2A\$826368.A.A\$826370.A469\$825904.3A\$825906.A\$
825905.A39\$825857.2A\$825856.A.A\$825858.A510\$825345.2A\$825344.A.A\$
825346.A510\$824833.2A\$824832.A.A\$824834.A510\$824321.2A\$824320.A.A\$
824322.A510\$823809.2A\$823808.A.A\$823810.A510\$823297.2A\$823296.A.A\$
823298.A469\$822832.3A\$822834.A\$822833.A39\$822785.2A\$822784.A.A\$
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2A\$86528.A.A\$86530.A510\$86017.2A\$86016.A.A\$86018.A510\$85505.2A\$85504.
A.A\$85506.A469\$85040.3A\$85042.A\$85041.A39\$84993.2A\$84992.A.A\$84994.A
510\$84481.2A\$84480.A.A\$84482.A469\$84016.3A\$84018.A\$84017.A39\$83969.2A
\$83968.A.A\$83970.A510\$83457.2A\$83456.A.A\$83458.A510\$82945.2A\$82944.A.
A\$82946.A469\$82480.3A\$82482.A\$82481.A39\$82433.2A\$82432.A.A\$82434.A
510\$81921.2A\$81920.A.A\$81922.A510\$81409.2A\$81408.A.A\$81410.A469\$
80944.3A\$80946.A\$80945.A39\$80897.2A\$80896.A.A\$80898.A510\$80385.2A\$
80384.A.A\$80386.A510\$79873.2A\$79872.A.A\$79874.A510\$79361.2A\$79360.A.A
\$79362.A510\$78849.2A\$78848.A.A\$78850.A510\$78337.2A\$78336.A.A\$78338.A
469\$77872.3A\$77874.A\$77873.A39\$77825.2A\$77824.A.A\$77826.A510\$77313.2A
\$77312.A.A\$77314.A510\$76801.2A\$76800.A.A\$76802.A469\$76336.3A\$76338.A\$
76337.A39\$76289.2A\$76288.A.A\$76290.A510\$75777.2A\$75776.A.A\$75778.A
510\$75265.2A\$75264.A.A\$75266.A469\$74800.3A\$74802.A\$74801.A39\$74753.2A
\$74752.A.A\$74754.A510\$74241.2A\$74240.A.A\$74242.A510\$73729.2A\$73728.A.
A\$73730.A469\$73264.3A\$73266.A\$73265.A39\$73217.2A\$73216.A.A\$73218.A
510\$72705.2A\$72704.A.A\$72706.A510\$72193.2A\$72192.A.A\$72194.A510\$
71681.2A\$71680.A.A\$71682.A510\$71169.2A\$71168.A.A\$71170.A510\$70657.2A\$
70656.A.A\$70658.A510\$70145.2A\$70144.A.A\$70146.A469\$69680.3A\$69682.A\$
69681.A39\$69633.2A\$69632.A.A\$69634.A510\$69121.2A\$69120.A.A\$69122.A
510\$68609.2A\$68608.A.A\$68610.A469\$68144.3A\$68146.A\$68145.A39\$68097.2A
\$68096.A.A\$68098.A510\$67585.2A\$67584.A.A\$67586.A510\$67073.2A\$67072.A.
A\$67074.A469\$66608.3A\$66610.A\$66609.A39\$66561.2A\$66560.A.A\$66562.A
510\$66049.2A\$66048.A.A\$66050.A469\$65584.3A\$65586.A\$65585.A39\$65537.2A
\$65536.A.A\$65538.A469\$65072.3A\$65074.A\$65073.A39\$65025.2A\$65024.A.A\$
65026.A469\$64560.3A\$64562.A\$64561.A39\$64513.2A\$64512.A.A\$64514.A510\$
64001.2A\$64000.A.A\$64002.A469\$63536.3A\$63538.A\$63537.A39\$63489.2A\$
63488.A.A\$63490.A469\$63024.3A\$63026.A\$63025.A39\$62977.2A\$62976.A.A\$
62978.A510\$62465.2A\$62464.A.A\$62466.A510\$61953.2A\$61952.A.A\$61954.A
510\$61441.2A\$61440.A.A\$61442.A510\$60929.2A\$60928.A.A\$60930.A510\$
60417.2A\$60416.A.A\$60418.A510\$59905.2A\$59904.A.A\$59906.A469\$59440.3A\$
59442.A\$59441.A39\$59393.2A\$59392.A.A\$59394.A469\$58928.3A\$58930.A\$
58929.A39\$58881.2A\$58880.A.A\$58882.A510\$58369.2A\$58368.A.A\$58370.A
510\$57857.2A\$57856.A.A\$57858.A510\$57345.2A\$57344.A.A\$57346.A469\$
56880.3A\$56882.A\$56881.A39\$56833.2A\$56832.A.A\$56834.A510\$56321.2A\$
56320.A.A\$56322.A510\$55809.2A\$55808.A.A\$55810.A510\$55297.2A\$55296.A.A
\$55298.A469\$54832.3A\$54834.A\$54833.A39\$54785.2A\$54784.A.A\$54786.A510\$
54273.2A\$54272.A.A\$54274.A510\$53761.2A\$53760.A.A\$53762.A510\$53249.2A\$
53248.A.A\$53250.A510\$52737.2A\$52736.A.A\$52738.A510\$52225.2A\$52224.A.A
\$52226.A510\$51713.2A\$51712.A.A\$51714.A510\$51201.2A\$51200.A.A\$51202.A
510\$50689.2A\$50688.A.A\$50690.A510\$50177.2A\$50176.A.A\$50178.A469\$
49712.3A\$49714.A\$49713.A39\$49665.2A\$49664.A.A\$49666.A510\$49153.2A\$
49152.A.A\$49154.A469\$48688.3A\$48690.A\$48689.A39\$48641.2A\$48640.A.A\$
48642.A510\$48129.2A\$48128.A.A\$48130.A510\$47617.2A\$47616.A.A\$47618.A
469\$47152.3A\$47154.A\$47153.A39\$47105.2A\$47104.A.A\$47106.A510\$46593.2A
\$46592.A.A\$46594.A510\$46081.2A\$46080.A.A\$46082.A510\$45569.2A\$45568.A.
A\$45570.A510\$45057.2A\$45056.A.A\$45058.A510\$44545.2A\$44544.A.A\$44546.A
469\$44080.3A\$44082.A\$44081.A39\$44033.2A\$44032.A.A\$44034.A510\$43521.2A
\$43520.A.A\$43522.A510\$43009.2A\$43008.A.A\$43010.A469\$42544.3A\$42546.A\$
42545.A39\$42497.2A\$42496.A.A\$42498.A510\$41985.2A\$41984.A.A\$41986.A
510\$41473.2A\$41472.A.A\$41474.A510\$40961.2A\$40960.A.A\$40962.A510\$
40449.2A\$40448.A.A\$40450.A469\$39984.3A\$39986.A\$39985.A39\$39937.2A\$
39936.A.A\$39938.A510\$39425.2A\$39424.A.A\$39426.A510\$38913.2A\$38912.A.A
\$38914.A469\$38448.3A\$38450.A\$38449.A39\$38401.2A\$38400.A.A\$38402.A510\$
37889.2A\$37888.A.A\$37890.A510\$37377.2A\$37376.A.A\$37378.A469\$36912.3A\$
36914.A\$36913.A39\$36865.2A\$36864.A.A\$36866.A510\$36353.2A\$36352.A.A\$
36354.A510\$35841.2A\$35840.A.A\$35842.A469\$35376.3A\$35378.A\$35377.A39\$
35329.2A\$35328.A.A\$35330.A510\$34817.2A\$34816.A.A\$34818.A510\$34305.2A\$
34304.A.A\$34306.A469\$33840.3A\$33842.A\$33841.A39\$33793.2A\$33792.A.A\$
33794.A510\$33281.2A\$33280.A.A\$33282.A510\$32769.2A\$32768.A.A\$32770.A
469\$32304.3A\$32306.A\$32305.A39\$32257.2A\$32256.A.A\$32258.A510\$31745.2A
\$31744.A.A\$31746.A510\$31233.2A\$31232.A.A\$31234.A469\$30768.3A\$30770.A\$
30769.A39\$30721.2A\$30720.A.A\$30722.A510\$30209.2A\$30208.A.A\$30210.A
510\$29697.2A\$29696.A.A\$29698.A469\$29232.3A\$29234.A\$29233.A39\$29185.2A
\$29184.A.A\$29186.A510\$28673.2A\$28672.A.A\$28674.A510\$28161.2A\$28160.A.
A\$28162.A469\$27696.3A\$27698.A\$27697.A39\$27649.2A\$27648.A.A\$27650.A
510\$27137.2A\$27136.A.A\$27138.A510\$26625.2A\$26624.A.A\$26626.A469\$
26160.3A\$26162.A\$26161.A39\$26113.2A\$26112.A.A\$26114.A469\$25648.3A\$
25650.A\$25649.A39\$25601.2A\$25600.A.A\$25602.A510\$25089.2A\$25088.A.A\$
25090.A510\$24577.2A\$24576.A.A\$24578.A469\$24112.3A\$24114.A\$24113.A39\$
24065.2A\$24064.A.A\$24066.A510\$23553.2A\$23552.A.A\$23554.A510\$23041.2A\$
23040.A.A\$23042.A469\$22576.3A\$22578.A\$22577.A39\$22529.2A\$22528.A.A\$
22530.A469\$22064.3A\$22066.A\$22065.A39\$22017.2A\$22016.A.A\$22018.A510\$
21505.2A\$21504.A.A\$21506.A510\$20993.2A\$20992.A.A\$20994.A510\$20481.2A\$
20480.A.A\$20482.A510\$19969.2A\$19968.A.A\$19970.A510\$19457.2A\$19456.A.A
\$19458.A510\$18945.2A\$18944.A.A\$18946.A510\$18433.2A\$18432.A.A\$18434.A
469\$17968.3A\$17970.A\$17969.A39\$17921.2A\$17920.A.A\$17922.A510\$17409.2A
\$17408.A.A\$17410.A510\$16897.2A\$16896.A.A\$16898.A469\$16432.3A\$16434.A\$
16433.A39\$16385.2A\$16384.A.A\$16386.A510\$15873.2A\$15872.A.A\$15874.A
510\$15361.2A\$15360.A.A\$15362.A469\$14896.3A\$14898.A\$14897.A39\$14849.2A
\$14848.A.A\$14850.A469\$14384.3A\$14386.A\$14385.A39\$14337.2A\$14336.A.A\$
14338.A510\$13825.2A\$13824.A.A\$13826.A510\$13313.2A\$13312.A.A\$13314.A
510\$12801.2A\$12800.A.A\$12802.A510\$12289.2A\$12288.A.A\$12290.A469\$
11824.3A\$11826.A\$11825.A39\$11777.2A\$11776.A.A\$11778.A510\$11265.2A\$
11264.A.A\$11266.A510\$10753.2A\$10752.A.A\$10754.A469\$10288.3A\$10290.A\$
10289.A39\$10241.2A\$10240.A.A\$10242.A510\$9729.2A\$9728.A.A\$9730.A510\$
9217.2A\$9216.A.A\$9218.A510\$8705.2A\$8704.A.A\$8706.A469\$8240.3A\$8242.A\$
8241.A39\$8193.2A\$8192.A.A\$8194.A469\$7728.3A\$7730.A\$7729.A39\$7681.2A\$
7680.A.A\$7682.A469\$7216.3A\$7218.A\$7217.A39\$7169.2A\$7168.A.A\$7170.A
510\$6657.2A\$6656.A.A\$6658.A510\$6145.2A\$6144.A.A\$6146.A510\$5633.2A\$
5632.A.A\$5634.A510\$5121.2A\$5120.A.A\$5122.A469\$4656.3A\$4658.A\$4657.A
39\$4609.2A\$4608.A.A\$4610.A469\$4144.3A\$4146.A\$4145.A39\$4097.2A\$4096.A.
A\$4098.A510\$3585.2A\$3584.A.A\$3586.A510\$3073.2A\$3072.A.A\$3074.A510\$
2561.2A\$2560.A.A\$2562.A469\$2096.3A\$2098.A\$2097.A39\$2049.2A\$2048.A.A\$
2050.A510\$1537.2A\$1536.A.A\$1538.A510\$1025.2A\$1024.A.A\$1026.A469\$560.
3A\$562.A\$561.A39\$513.2A\$512.A.A\$514.A469\$48.3A\$50.A\$49.A39\$.2A\$A.A\$2.
A!``````
Generating the recipe was extremely mechanical:

Code: Select all

``block_maker + ''.join(glider_emissions[k] for k in 'e38 e34 o32 o29 e40 o50 e42 e28 o33'.split())``
thanks to the fact that there are non-destructive glider emission reactions for both phases of 43 consecutive lanes (labelled 13 through to 55 inclusive):

Code: Select all

``````from_16 = '111111111112212212111212112121212112121121121121121121121121111112112112112111121111112112111112112112211121121211211211211211221121122111111211211211211211211211112112122111112111221111112112112112112112112112112112112121111112112112122112122112111121'

from_honeyfarm = '1112122122211112211212211211211211211111211211211211112111122111112112111112111211121121211211211211211221211211121121112112112112211211212112112112112211211212112111222221112111112111211121121121121121121121121121121121111211111112222211111211211211211221122111'

to_honeyfarm = '21112'

block_maker = '211211111211211211211111211211211211112111122111112112111112112112111111112112111112211121121121121121121111121121121211121121121121111121121121122112112121121122111112121111212112111112112111112112111112112111112112111112112111112112111121121121121121121121121121121111211211211211112111121212111211222211112211112112112111121121121121121121121121111111121121121121121222112112111111111111111112222121222211211111211211112112111121121121121121122112111111122111122112111121121121121111112111212221211111222111111221221121121121121121121121121122211211212111112111211122121222112112112112111112111211121111112212112211211121221211211211211211211211211111211211212221111121112111111111111211121111112121121121121121121121121121121111121121121222111112112111111121121121122121222'

ext1 = '211211111'
del1 = '2111211121121'
del2 = '2112112112111111212'

translates = {'t0': '21121211',
't12': '211211211211211211211211211211111211211212221111121121121121111111112121',
't28': '2112112112111112112112112111121111221111121121111121121121111111121121111122111',
't22': '211211211211211211112112111212221121121122112111211221121111121112111211111122111',
't24': '21121121121121121121121121121111121121121211122122211211211211111112112112112212211',
't36': '211211211211211211111211211211211112111122111112112111111121121121112111121121111122111',
't50': '2112112112112112112112112112112112111112112112121111111121121121122112112111112111112211',
't-12': '2112112112112112112112112112112112112112212211111211211122122211121111211211122211121211',
't30': '2112112112112112112112211211212112112111112121111112112112112111112111212111211121111112111',
't32': '2112112112112112112112112112112112111112112112122211111211211211221121121211112112222112221111',
't6': '21121121121121121111121121121121111211112211111211121111211211211221121121211211211211112121211',
't52': '211211211211211211211211211211111211211211211112111122111112112111112112112111211112112111112211',
't4': '211211211211111112112112112112112112112211211221111111211211211221121121111121121121121111211112122',
't8': '21121121121121121121121121121111121121121211122122211211111211211211211211211111211211211221111121112221',
't-4': '21121121121121121121121121121121122111112112112221112112112112112112111112122112112112112112112222222111',
't10': '2112112112112112111121121121121121121111211112221121121121112122221121121121221121121121121121121121111111',
't14': '2112112112111112112112112111121111221111121121111211211211111111211211211221121121211211211111211111211121121',
't18': '21121121121121121111121121121121121122211211221122211121111221121121121121121122111112112221211122111211111211',
't16': '211211211211211211211211112111112112121121121121111121122211212112112211211221111111211211211112111121121112121211',
't44': '211211211211211211211211211211211221121121212121211111211121112111111121111212112212111211121111111111112111212111111',
't20': '211211211211211211111211211211211111211211212112121121121121121111121211211211211211111111111121121121121111121121121212',
't-8': '211211211211211211111211211212111211211211211111211211111211121112112222221121211221121212112112112112112211111211121221',
't26': '2112112112112112112112112112211211221111111211211212111112112112112111122211111212222211112111111112111211211211112112122211111',
't40': '21121121121121121111121121121121111211112211111211211111211121112112121121121121121122112112112111121121111221221111121121211111111',
't-2': '21121121121121121111121121121121111211112211111211121111211211211211111211121112112222221121211221121212112112112112112211111211121221',
't34': '21121121121121121121122112112121121121111121211112112112112112111111121121121121111121121111211211211111211121111111221111122112121111',
't-6': '21121121121121121121122112112211111112112112121121121121121111222111112111121112221211211211211211211211211211221121121211211211111112211',
't-28': '211211211211112112112112111121111212112112112112112112112112211111211221111211211221122221221121121121121121111121122121121211211221112111211221'}

glider_emissions = {'o2rr': '2112112112112112111111112112112122',
'o10r': '2112111112112112112112112111111112112112122',
'o18': '2112111112112111112112112112112112111111112112112122',
'e38r': '2112111112112112112112112111111211121112111111121121211211111121211',
'o17r': '21121121121121121121121121122112112211111112112112211112112111222111111',
'o18r': '211211211211211211211211112111211212212211211211112112221111121122112221',
'e33r': '2112112112112112112112111112112112122211111211121111111111112111211111121',
'o26r': '21121111211211211211111112112112112112112111111112112112122121122211121221',
'o34r': '21121111211211211211211211111121121121121121121111111121121121222211121221',
'e46': '2112111112112111112112112112112112111111211121112111111121121211211111121211',
'e29r': '21121121121121121121121121121111121121121222111112112111111121121121122121222',
'o42r': '21121111121121121121111112112112112111111121121121121121121111111121121121221212',
'o25': '21121111121121121121121121121121121122112112211111112112112211112112111222111111',
'e46r': '21121111211211112112112112112112111111211121112111111121121211111121122211121121',
'o26': '211211111211211211211211211211211112111211212212211211211112112221111121122112221',
'o61r': '211211211211211211112112111212221121121122112111211212111211111111211111112111212',
'e41': '2112111112112112112112112112112111112112112122211111211121111111111112111211111121',
'e43r': '2112112112112112112112112112112112112112221121122211211212222111122221111111122222',
'o34': '21121111121121111211211211211111112112112112112112111111112112112122121122211121221',
'o42': '21121111121121111211211211211211211111121121121121121121111111121121121222211121221',
'o50r': '211211111211211211211112112112112112112111111121121121121121121111111121121121221212',
'e37': '21121111121121121121121121121121121121111121121121222111112112111111121121121122121222',
'o43r': '21121121121111121121121121111211112122112112112112111111121112111122121121121112222111',
'o37r': '21121121121121121111211111211212112111121121121121112112112112112112222112212211121221',
'e7r': '211211112112112112112112112112112112111121121121121111211112121211121122221111221111211',
'o25r': '211211112112112112112112112112112112211211221111111211211221111211211122211112211121122',
'e-3r': '2112111112112112112112112112112112112111121112112122122112112111111121121121112121112122',
'e18r': '2112111121121121121121121121121111111121121121121121222112112111111111111111112222121222',
'o46r': '2112112112112112112112111121111111221221121121121121111121221121121121121122111112111222',
'o50': '21121111121121111121121121121111112112112112111111121121121121121121111111121121121221212',
'e54': '21121111121121111211211112112112112112112111111211121112111111121121211111121122211121121',
'o52r': '21121121121121121121121111121121121121111211112211111211211211211111121121221122111121121',
'e60r': '21121121121121121121121121122211111211222112111121211211111121122212111121111111211212211',
'o69': '211211111211211211211211211112112111212221121121122112111211212111211111111211111112111212',
'e51r': '211211112112112112112112112112112112112112112112221121122211211212222211122221111111122222',
'o27r': '211211211211112112112112112112111121112112122121211111111111211121211112112212111211111221',
'e9r': '211211211211211211112112112112111121111212111121121121121121112211211211212121121112111221',
'o51r': '211211211211211211112112112112112112111121121121222112111211111111111111122112111121221211',
'e45r': '211211211211211211211211211221111112112112122211121121121122112111211221121111121122122112',
'e51': '2112111112112112112112112112112112112112112112112221121122211211212222111122221111111122222',
'o21r': '2112111121121121121121121121122111112112112221121121121111121112121122222211121122211121221',
'o23r': '2112112112112112112112112112211111122121111211211211211211212211112111211121121112211212112',
'o33r': '2112112112112112112112211211212112112111112121111111211121221112111211121111111111112112121',
'o58': '211211111211211111211211211211112112112112112112111111121121121121121121111111121121121221212',
'o51': '21121111121121121121111121121121121111211112122112112112112111111121112111122121121121112222111',
'o45': '21121111121121121121121121111211111211212112111121121121121112112112112112112222112212211121221',
'e15': '211211111211211112112112112112112112112112112111121121121121111211112121211121122221111221111211',
'o33': '211211111211211112112112112112112112112112112211211221111111211211221111211211122211112211121122',
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'e68r': '211211211211111211211211211211211211221121121211112111121221121121121121121122112112121111121122212221121211211121222112111111211211211',
'o8': '211211211211211211211211111111111211211211211112111122211112212112211122121121211211211211212112112112112112112211211212112112111111221',
'o1r': '211211211211211211211211111111211211211211112111122211112112112111112112211111211221112221112121121121121121111121222211121112111111221',
'e6r': '211211211211211211211211111111211211211211112111122211112112112211112112111221111221122111211211211122211211211211111121121111211212211',
'o19r': '211211211211211211211211211211111211211212221111121121121122112112121121122111111211121121111211211212122112112112111112112211211121221',
'o40': '2112111112112112112112112112112211211212112112111112121111211211112112112211211211211211211111211221211211211211112111121211121122112212',
'o4': '2112112112111112112112112111121111221111121121111121121121121111121222111211211211211211111112112112111111112112112112112112111121121112',
'o66': '21121111121121121121121122112112121121121111121211112112112112111111112112112111211112112112112112112112112211111112112211112212111121121',
'o4r': '21121121121121121121121121122111121121112211221122211112111112112111122222211121121111121121121121121121111121121121222121112112112112221',
'e20': '21121121121121121121122112112121121121111121211112112112112112111211111111211121112112121121111111121212112112112111121121121121211122211',
'e29': '211211111211211111211211211211111112112112112112112211211122212221111112112112112111112112112112112112111111122122111221112111121121121122',
'o53': '211211111211211211211111211211211211112111121221121121111211211211211111211211122212112111112112112112111112112111111121212112112111212212',
'e14r': '211211111211211211211211211111111211211211211112111122211112111111121121112112112211121121121121121111111111211211121111111222111111111221',
'e30': '211211111211211211211211211211211211221121121211211211111212111121121111211211222222121121111121121111211211112112122211121122111211211111',
'e39': '211211112112112112112112112112211211221111111211211212112112111112112112221121121121121121121122112112121111111211221111111111112211121212',
'e35': '211211211211211211211211112111112112121121111111121121121121112112121221121121211211211211211211211211211211222111112111211212111112112111',
'e24': '2112111112112112112111112112112112111121111212211211211112112112112112112111121122222112112112211111211211122111211211211111211211212111211',
'e9': '2112111112112112112112112111112112112112111121111221111121121121122112112121111121121121121121121121121121121111211111111211111111111112212',
'e66': '2112111112112112112112112111121121121121111211112121121121121121121122111111112111211111121121121121121121111111121112122212112112112112111212',
'e13': '2112111112112112112112112112112112112211211221111111211211211111111211112112112112211211221111112112112112111112112112111211221111111111111122',
'e18': '21121111121121111211211211211211211211221111121121122211211112112112112112112111111121212122112112112112112111111111112112222221111111111112112',
'o48': '21121111121121121121121121121122112112121121121111121211111121121121121111121112121112111211111122112111111112112112112111112112111121121121212',
'o19': '21121111121121121121121121121122112112121121121111121211111121121121121111121112121121121121121121111211211121122112112112112122111211211112211',
'e76': '211211111211211211211111211211211211211211211221121121211112111121221121121121121121122112112121111121122212221121211211121222112111111211211211',
'o9': '211211111211211211211211211211211111111211211211211112111122211112112112111112112211111211221112221112121121121121121111121222211121112111111221',
'e14': '211211111211211211211211211211211111111211211211211112111122211112112112211112112111221111221122111211211211122211211211211111121121111211212211',
'o27': '211211111211211211211211211211211211211111211211212221111121121121122112112121121122111111211121121111211211212122112112112111112112211211121221',
'o12': '21121111121121121121121121121121121122111121121112211221122211112111112112111122222211121121111121121121121121121111121121121222121112112112112221',
'e22': '211211111211211111211211211211211211111111211211211211112111122211112111111121121112112112211121121121121121111111111211211121111111222111111111221'}``````
At this point, for simplicity of implementation it might be worth just using these non-destructive glider emission reactions together with elbow-move operations, instead of the whole DUP/DEL malarkey. The emission reactions are comprehensive enough that we can fire plenty of recipe gliders before needing to move the elbow.
What do you do with ill crystallographers? Take them to the mono-clinic!

calcyman
Posts: 2591
Joined: June 1st, 2009, 4:32 pm

Re: Binary slow salvos

dvgrn wrote:
March 25th, 2022, 5:22 pm
Meant to post this as a suggestion: hotDogPi suggested on Discord a couple of days ago that "just a shillelagh" might be a good example pattern to get the RCT building a sample of something.
I've built this example pattern, and done so without any 'cheating' or emulation -- just an honest 17-glider macrocell pattern with a diameter less than 2^2^11 that you can run yourself in Golly with the help of a script for automatically adjusting the step size.

shillelagh.mc
17-glider RCT generating a shillelagh
Observe that the population is 85 (as you'd expect for a 17-glider pattern) and then run the following Golly Python script (copy to clipboard and then File --> Run Clipboard).

Code: Select all

``````import golly as g

g.autoupdate(True)

gencount = 5229692253245995137700810162512667371843356317344974662584593182441510783074325122299335557044665737222981935285906716051821691406626168667652679795768765217300014963527702761051336612296641100503388970514785459280393509671899929712335377371784141477468514147089614083274178434741245043641683444228154346832139319832983812113637660343041835433756202008086470542558124063142479208339454872489349587728386708872281161071546469454765142830774988733312183298398648511332090716250600089016669171001917809626869893532537422717756162193597936384481958750116419099305566641558897545116748347636786610703285117042681546247424

g.setbase(2)
g.setpos("0", "0")
g.setmag(0)

currexp = len(bin(gencount)) - 8

g.setstep(currexp)

while (gencount > 65536):

while ((gencount >> currexp) == 0):
currexp -= 2
g.setstep(currexp)

g.step()
gencount -= (1 << currexp)

g.setstep(0)``````
This script doesn't modify the pattern at all; it just runs it in Golly and keeps decreasing the step size so that you can watch the construction in realtime. The step size will give you a progress indication (it will gradually decrease until reaching 0), at which point the script will terminate so that you can run the final part yourself.

On my laptop, it takes less than 2 hours to run the script to completion. The first half of the recipe is the conversion of the initial honeyfarm into a standard blinker elbow and the production of a distant target block (happens around step size 2^1000); the second half of the recipe fires an additional 9 gliders at that target block to convert it into a shillelagh.

These 9 glider impacts happen at approximately the following points:
1. Step size 2^896: the target block is upgraded into a honeyfarm;
2. Step size 2^792: the honeyfarm is converted into a block, boat, and traffic-light;
3. Step size 2^662: one of the blinkers in the traffic-light is deleted;
4. Step size 2^566: the three-quarter traffic-light is pulled, rephased, and upgraded into a full traffic-light;
5. Step size 2^436: one of the blinkers in the traffic-light is converted into a block;
6. Step size 2^350-ish: not sure what happens here (maybe a block is moved)?
7. Step size 2^226: the two blocks are converted into another boat;
8. Step size 2^134: a blinker is converted into a block;
9. Step size 2^20: the shillelagh is produced.
What do you do with ill crystallographers? Take them to the mono-clinic!

77551enpassant
Posts: 38
Joined: February 18th, 2022, 9:06 pm
Location: Portland, Oregon

Re: Binary slow salvos

What about constructing a pattern that would take more than 17 gliders to construct, such as a Snark or a Syringe?
I enjoy self-supporting spaceships

Code: Select all

``````x = 11, y = 14, rule = B3/S23
2bo\$3b2o\$obo\$o9\$10bo\$9b2o!
#C[[ THEME Golly GRID ]]
``````

gameoflifemaniac
Posts: 1239
Joined: January 22nd, 2017, 11:17 am
Location: There too

Re: Binary slow salvos

calcyman wrote:
April 16th, 2022, 2:14 pm
dvgrn wrote:
March 25th, 2022, 5:22 pm
Meant to post this as a suggestion: hotDogPi suggested on Discord a couple of days ago that "just a shillelagh" might be a good example pattern to get the RCT building a sample of something.
I've built this example pattern, and done so without any 'cheating' or emulation -- just an honest 17-glider macrocell pattern with a diameter less than 2^2^11 that you can run yourself in Golly with the help of a script for automatically adjusting the step size.

shillelagh.mc

Observe that the population is 85 (as you'd expect for a 17-glider pattern) and then run the following Golly Python script (copy to clipboard and then File --> Run Clipboard).

Code: Select all

``````import golly as g

g.autoupdate(True)

gencount = 5229692253245995137700810162512667371843356317344974662584593182441510783074325122299335557044665737222981935285906716051821691406626168667652679795768765217300014963527702761051336612296641100503388970514785459280393509671899929712335377371784141477468514147089614083274178434741245043641683444228154346832139319832983812113637660343041835433756202008086470542558124063142479208339454872489349587728386708872281161071546469454765142830774988733312183298398648511332090716250600089016669171001917809626869893532537422717756162193597936384481958750116419099305566641558897545116748347636786610703285117042681546247424

g.setbase(2)
g.setpos("0", "0")
g.setmag(0)

currexp = len(bin(gencount)) - 8

g.setstep(currexp)

while (gencount > 65536):

while ((gencount >> currexp) == 0):
currexp -= 2
g.setstep(currexp)

g.step()
gencount -= (1 << currexp)

g.setstep(0)``````
This script doesn't modify the pattern at all; it just runs it in Golly and keeps decreasing the step size so that you can watch the construction in realtime. The step size will give you a progress indication (it will gradually decrease until reaching 0), at which point the script will terminate so that you can run the final part yourself.

On my laptop, it takes less than 2 hours to run the script to completion. The first half of the recipe is the conversion of the initial honeyfarm into a standard blinker elbow and the production of a distant target block (happens around step size 2^1000); the second half of the recipe fires an additional 9 gliders at that target block to convert it into a shillelagh.

These 9 glider impacts happen at approximately the following points:
1. Step size 2^896: the target block is upgraded into a honeyfarm;
2. Step size 2^792: the honeyfarm is converted into a block, boat, and traffic-light;
3. Step size 2^662: one of the blinkers in the traffic-light is deleted;
4. Step size 2^566: the three-quarter traffic-light is pulled, rephased, and upgraded into a full traffic-light;
5. Step size 2^436: one of the blinkers in the traffic-light is converted into a block;
6. Step size 2^350-ish: not sure what happens here (maybe a block is moved)?
7. Step size 2^226: the two blocks are converted into another boat;
8. Step size 2^134: a blinker is converted into a block;
9. Step size 2^20: the shillelagh is produced.
Golly crashes when I use the script
I was so socially awkward in the past and it will haunt me for the rest of my life.

Code: Select all

``````b4o25bo\$o29bo\$b3o3b3o2bob2o2bob2o2bo3bobo\$4bobo3bob2o2bob2o2bobo3bobo\$
4bobo3bobo5bo5bo3bobo\$o3bobo3bobo5bo6b4o\$b3o3b3o2bo5bo9bobo\$24b4o!``````

calcyman
Posts: 2591
Joined: June 1st, 2009, 4:32 pm

Re: Binary slow salvos

gameoflifemaniac wrote:
April 16th, 2022, 3:18 pm
calcyman wrote:
April 16th, 2022, 2:14 pm
the entire post, unnecessarily
Golly crashes when I use the script
What's the error message? And when does it crash? It works on my computer with either Python 2 or Python 3. I'd recommend having at least 4 gigabytes of memory for hashlife.
77551enpassant wrote:
April 16th, 2022, 2:26 pm
What about constructing a pattern that would take more than 17 gliders to construct, such as a Snark or a Syringe?
I could probably produce such a macrocell pattern, but it might be difficult to run it to completion in Golly. The issue is that the runtime in Golly HashLife is something like O(n^3) where n is the recipe length -- O(n) steps each of which uses O(n^2) time.

Fortunately, we can use emulation as described here -- viewtopic.php?f=2&t=5601&p=143034#p143034 -- where both the wall-clock time and generation count are merely linear in the number of recipe bits. That way, we'll be able to watch much more complicated recipes (say, millions of bits) run to completion, and hopefully demonstrate the necessary cleanup mechanisms.
What do you do with ill crystallographers? Take them to the mono-clinic!

dvgrn
Moderator
Posts: 8931
Joined: May 17th, 2009, 11:00 pm
Contact:

Re: Binary slow salvos

77551enpassant wrote:
April 16th, 2022, 2:26 pm
What about constructing a pattern that would take more than 17 gliders to construct, such as a Snark or a Syringe?
That's simple enough now that we have a working proof-of-concept -- just another bunch of orders of magnitude bigger. But, yeah, as calcyman says, we can write a much faster "RCTLife" simulator script -- just a simple Python thing, no need to hack Golly to support this directly yet. Maybe something could be written that works on an actual RCT metacell pattern as input, removing all the faraway gliders and generating the glider streams coming in, close to where they collide in the center, without actually creating the GPSEs or the piles of ash behind them.

If anyone wants to inspect the five blobs that make up the GenuineRCT(TM) pattern, here's one way to see what's in the center:

Code: Select all

``````local g = golly()
-- look at center of calcyman's sample RCT pattern
g.setpos("143","242")
g.setmag(4)``````
You could zoom in for something like five minutes to get from the "Fit to Pattern" view down to where you can see individual cells. It's a little bit faster going the other way, depending on your scrolling technology (mouse wheel is pretty good for this) -- just because you don't keep losing the little spot you're trying to zoom in on..

Looking at the other four blobs is a bit trickier. You could use something like this:

Code: Select all

``````local g = golly()
-- look at lower right corner of calcyman's sample RCT pattern
g.setpos("653711531655749392212601270314083421480419539668121832823074147805188847884290640287416944630583217152872741910738339506477711425828271083456584974471095652162501870440962845131417076537080137562923621314348182410049188708987491214041922171473017684683564268386201760409272304342655630455210430528519293354017414979122976514204707542880229429219525251010808817819765507892809901042431859061168698466048338609035145133943308681845642853846873591664022912299831063916511339531325011127083646375239726203358736691567177839719520274199742048060244843764552387413195830194862193139593543454598326337910639630335193280359","653711531655749392212601270314083421480419539668121832823074147805188847884290640287416944630583217152872741910738339506477711425828271083456584974471095652162501870440962845131417076537080137562923621314348182410049188708987491214041922171473017684683564268386201760409272304342655630455210430528519293354017414979122976514204707542880229429219525251010808817819765507892809901042431859061168698466048338609035145133943308681845642853846873591664022912299831063916511339531325011127083646375239726203358736691567177839719520274199742048060244843764552387413195830194862193139593543454598326337910639630335193280359")
g.setmag(-2)``````
which was found by zooming in to the lower right corner (the magnifying glass tool works better than the mouse wheel, because you can chase the tiny speck around until you eventually catch it) -- then running the following. Most of Golly's script commands relating to sizes and patterns will throw errors when faced by a pattern this big, but g.getpos() is still usable:

Code: Select all

``````import golly as g

x, y = g.getpos()
m = g.getmag()
g.setclipstr(x +"\n" + y + "\n" + str(m))``````
g.setpos(), on the other hand, seems to have trouble with negative numbers, starting somewhere around g.setpos("-10000000000","-10000000000"). Can anyone find a good way to look at negative bignum locations? Just adding minus signs to the above setpos() statement should theoretically work fine, but with numbers bigger than -1000000000 or so it goes to the wrong place (and for some numbers it happens to end up at positive coordinates instead of the expected negative coordinates).

rokicki
Posts: 65
Joined: August 6th, 2009, 12:26 pm

Re: Binary slow salvos

Could anyone on Windows who runs this script please try the following.

1. Locate the golly executable (golly.exe).
2. Increase the stack size as follows:
editbin /stack:8000000 Golly.exe
3. Test again.

I think I have the syntax right, but I don't have a Windows environment to try it out.

dani
Posts: 1155
Joined: October 27th, 2017, 3:43 pm
Location: Somewhere in a Sparse Life soup, forming into a giant space-clearing replicator.
Contact:

Re: Binary slow salvos

rokicki wrote:
April 16th, 2022, 5:16 pm
Could anyone on Windows who runs this script please try the following.
My installation of Windows doesn't seem to have editbin. Is there any other way I can increase the stack size? I'm doing this from CMD, I tried PowerShell but it still couldn't find editbin.

EDIT: Installed Visual Studio and now I'm getting "LINK : fatal error LNK1104: cannot open file 'Golly.exe'" even though I'm in the right directory. Launched as administrator, much of the same.

*facepalms* it's because I forgot to close Golly. I swear I did...

It's running quite nicely now. 10% CPU, 1 GB of RAM. I am absolutely stunned with this construction.
Last edited by dani on April 16th, 2022, 7:34 pm, edited 3 times in total.
i am danielle
#1 switch engine fan

Scorbie
Posts: 1644
Joined: December 7th, 2013, 1:05 am

Re: Binary slow salvos

rokicki wrote:
April 16th, 2022, 5:16 pm
Could anyone on Windows who runs this script please try the following.

1. Locate the golly executable (golly.exe).
2. Increase the stack size as follows:
editbin /stack:8000000 Golly.exe
3. Test again.

I think I have the syntax right, but I don't have a Windows environment to try it out.
I did this.
Before: Golly crashed.
After: Golly didn't crash, and is currently running the script. Will let you know when the script finishes.

Note: For others who are going to try as well, to use `editbin` you need visual studio with C++ development environment installed. `editbin` can be used via Developer Command Prompt/Powershell for Visual Studio

Edit: The script finally finished without errors
Last edited by Scorbie on April 17th, 2022, 3:16 am, edited 1 time in total.

dani
Posts: 1155
Joined: October 27th, 2017, 3:43 pm
Location: Somewhere in a Sparse Life soup, forming into a giant space-clearing replicator.
Contact:

Re: Binary slow salvos

calcyman wrote:
April 16th, 2022, 2:14 pm
The step size will give you a progress indication (it will gradually decrease until reaching 0), at which point the script will terminate so that you can run the final part yourself.
This took my PC about 4 hours. I saved the pattern after the script runs for anybody who wants to see what the end looks like, but not even .mc.gz could make it fit in an attachment. Luckily, 7-Zip's "Ultra" compression setting gets it down to 6.4MB.

It's still a bit tricky to run, so you might want to, say, delete all but a 65536x65536 box around the center.
Attachments
shillelagh-final.7z
i am danielle
#1 switch engine fan

calcyman
Posts: 2591
Joined: June 1st, 2009, 4:32 pm

Re: Binary slow salvos

dvgrn wrote:
April 16th, 2022, 4:12 pm
g.setpos(), on the other hand, seems to have trouble with negative numbers, starting somewhere around g.setpos("-10000000000","-10000000000"). Can anyone find a good way to look at negative bignum locations? Just adding minus signs to the above setpos() statement should theoretically work fine, but with numbers bigger than -1000000000 or so it goes to the wrong place (and for big enough numbers it ends up at positive coordinates instead of the expected negative coordinates).
It would appear that "finding bugs in Golly" is the most useful application of the RCT: both "insufficient stack space on Windows" and "setpos struggles with large negative numbers" were discovered within hours of the pattern being published.
dani wrote:
April 16th, 2022, 11:28 pm
I saved the pattern after the script runs for anybody who wants to see what the end looks like, but not even .mc.gz could make it fit in an attachment.
It's because each glider impact with the GPSE creates a small clump of ash: the number of ash clumps and the number of hashtiles per ash clump are both linear in the recipe length, so the final file size ends up being quadratic in the recipe length.
dani wrote:
April 16th, 2022, 11:28 pm
It's still a bit tricky to run, so you might want to, say, delete all but a 65536x65536 box around the center.
Here's a version restricted to a box of radius 2^40:
shillelagh_final_cropped.mc
It was obtained as follows:

Code: Select all

``````import lifelib
y = x[-2**40:2**40, -2**40:2**40]
y.save('shillelagh_final_cropped.mc')``````
What do you do with ill crystallographers? Take them to the mono-clinic!

Pavgran
Posts: 131
Joined: June 12th, 2019, 12:14 pm

Re: Binary slow salvos

calcyman wrote:
April 17th, 2022, 4:44 am
It would appear that "finding bugs in Golly" is the most useful application of the RCT: both "insufficient stack space on Windows" and "setpos struggles with large negative numbers" were discovered within hours of the pattern being published.
By the way, my Golly on Windows just exited with the same symptoms when I tried to run the first exponential diehard to completion. I just used Golly on Linux to avoid that.

I guess nobody else ran the diehard or nobody complained, otherwise the problem with stack space would appear sooner.

rokicki
Posts: 65
Joined: August 6th, 2009, 12:26 pm

Re: Binary slow salvos

dvgrn wrote:
April 16th, 2022, 4:12 pm
Can anyone find a good way to look at negative bignum locations? Just adding minus signs to the above setpos() statement should theoretically work fine, but with numbers bigger than -1000000000 or so it goes to the wrong place (and for big enough numbers it ends up at positive coordinates instead of the expected negative coordinates).
I've reviewed the source and scripting API and cannot find a workaround. I have identified the bug and repaired it. Ideally we will be able to release a patched Golly soon. My apologies; this bug is entirely on me.

Scorbie
Posts: 1644
Joined: December 7th, 2013, 1:05 am

Re: Binary slow salvos

rokicki wrote:
April 17th, 2022, 5:27 pm
dvgrn wrote:
April 16th, 2022, 4:12 pm
Can anyone find a good way to look at negative bignum locations? Just adding minus signs to the above setpos() statement should theoretically work fine, but with numbers bigger than -1000000000 or so it goes to the wrong place (and for big enough numbers it ends up at positive coordinates instead of the expected negative coordinates).
I've reviewed the source and scripting API and cannot find a workaround. I have identified the bug and repaired it. Ideally we will be able to release a patched Golly soon. My apologies; this bug is entirely on me.
In Help > Known Problems > Problems on all platforms, all editing operations are limited to +/- 1 billion, so I assume not many people are affected by this issue.
Thank you for fixing the bug. Does it mean the editing limitations are also lifted or does it stay?

rokicki
Posts: 65
Joined: August 6th, 2009, 12:26 pm

Re: Binary slow salvos

This only affects viewpoint positioning, which is not limited to +/- 1B.

I have often thought of raising the limit on editing from +/-1B to +/- 1E18, but it's a pretty big undertaking and may introduce new bugs, so I'm a bit leery. Is this something that people need? If we did this it would probably require a long beta period, and it would likely only work on 64-bit platforms (or rather, platforms that have a 64-bit signed integer type).

As of now the limit of +/- 1B on editing remains.