Construction Challenges and Ideas

[dvgrn]

Can this be made into a spaceship?

Whenever someone is not already pretty sure that the answer to this question is "yes", the short answer is almost always a strong "no".

The longer answer is usually "technically yes, but really still no".

That is to say, you can definitely build a spaceship where any given glider-constructible reaction is a repeated feature of the spaceship, in as many different places as you want. But the mechanism that moves the spaceship is going to be completely different and unrelated, and the spaceship would be smaller if it didn't have to support the reaction in question.

I posted an analogical explanation on Discord the other day (February 28) that may or may not be helpful:

Planning and getting help with a self-supporting spaceship is kind of like pitching a new startup company to investors. If you have a clear example of a moving "over-unity reaction", that's like a demonstration that your proposed startup can produce more money than it takes in -- there will still be a lot of work to be done to prove out the idea, but people will maybe start to be interested.

But if a startup's business model is "well, we're always going to have to put in more money than we can get out, but we're going to solve that by scaling up" ... that just isn't going to attract any investors.

Just being able to put one glider in and get two gliders out isn't enough, if you're also using up other stuff. You have to be able to, say, put one glider in and get out enough gliders to build all the stuff you used up, plus probably some extra. And even then you'd just be getting started on the design.

[dl-rs]

About this potential spaceship

dvgrn has mentioned how the over-unity reaction would be unsuitable to construct an engineered spaceship. What about this reaction, using the boat as a climber and trying to make use of the gliders?

Code: Select all

x = 21, y = 9, rule = B3/S23
7b3o8b2o$7bobo8bobo$7bobo9bo6$3o!

Perhaps it can be integrated with b-engine's construction above.
Note that this is found by yyh_baboon by bash.

[yyh_baboon]

Some other interesting reactions:

Code: Select all

2bo$obo$b2o7$25b3o8b2o$25bobo8bobo$25bobo9bo

this one uses the trash to turn a glider 90 degrees.
and this one:

Code: Select all

14b3o8b2o$14bobo8bobo$o13bobo9bo$o$o

a similar reaction to dl-rs’s,turning a blinker into a glider.
Might also be useful.

[dvgrn]

What about this reaction, using the boat as a climber and trying to make use of the gliders?

This might be more honest than polite, but your use of the term "climber" doesn't really make any sense here.

You might mean something like "reburnable fuse", but you're not really demonstrating anything even close to a reburnable fuse, either.

These kinds of individual random-junk reactions, posted one at a time, really aren't very relevant to the "Construction Challenges and Ideas" thread. Once you spend a few hours studying the details of how existing self-supporting spaceships work, you'll start to see why suggestions like these come across more or less analogous to

"Here's a trash can full of awesome metal scrap that I picked up in the street. Can someone please help me create a Ferrari that contains this?"

Some Ferrari owner absolutely could help you do that -- but they would do it by driving up in a working Ferrari and putting your trash can of scrap in the trunk. And they might not want to actually do that, because that might encourage other metal-scrap connoisseurs to ask similar questions.

Try out the Seeds of Destruction Game and you'll see fairly quickly that it's possible to find as many reactions as you want that use an active pattern to convert some junk into a glider, or to reflect a glider.

These kinds of conversions show up constantly, by the millions if anyone is looking for them -- but they're only interesting in certain very limited circumstances, like when the active reaction can be arranged to repeat itself without using anything else up. Then it becomes an oscillator or a spaceship in its own right, that is throwing off potentially useful sparks.

[LuveelVoom]

Is it possible to create a HBK that travels at the maximum speed possible given the repeat time of the half-bakery reaction? Is it possible to create a HBK that fits in a [[MAXGRIDSIZE 14]] lifeviewer window??

Is it possible to make a HBK that does both???

[dvgrn]

Maybe yes, for the first question. It's a tricky job, though. The repeat time of the half-bakery reaction might be considered to be 181 ticks, if we're talking about the extended "over-unity" half-bakery reaction arrangement:

Code: Select all

x = 89, y = 95, rule = B3/S23
68bo$67bo$67b3o16$86bo$86bobo$86b2o12$64bobo$64b2o$65bo18$25bobo$25b2o
$26bo15$45bo$43b2o$44b2o3$4b2o$3bo2bo$3bobo$b2obo$o2bo$obo$bo32b2o$33b
o2bo$33bobo$22bo8b2obo$22bobo5bo2bo$22b2o6bobo$31bo2$18b2o$17bo2bo$17b
obo$15b2obo$14bo2bo$14bobo$15bo!

But... is there a way to support the creation of those three activation gliders every 181 ticks, off in the northeast? It would take a complete redesign of the slow-salvo construction mechanism, such that waves of returning northeastward salvoes 181 ticks apart and offset by (-3,-6) would somehow be absorbed by a stack of slow-salvo targets, which somehow wouldn't get in each other's way.

We could probably steal some ideas from the Caterloopillars and get something like that working.

Not sure about the fitting-inside-16384-by-16384 question. We're only a single factor of two (per bounding box side) away from that already, so it's maybe not impossible -- but it would take an even more radical redesign, I would think, maybe starting with a month or two of basic research looking for a big new simplification.

[dl-rs]

Some other interesting reactions:

Code: Select all

2bo$obo$b2o7$25b3o8b2o$25bobo8bobo$25bobo9bo

this one uses the trash to turn a glider 90 degrees.
and this one:

Code: Select all

14b3o8b2o$14bobo8bobo$o13bobo9bo$o$o

a similar reaction to dl-rs’s,turning a blinker into a glider.
Might also be useful.

@dvgrn, I meant that it might be able to construct a climber. Since the book regarded half bakery as a climber, I don't see why this can't be one.
How about this?

Code: Select all

x = 16, y = 12, rule = B3/S23
3bo$2b3o8b2o$b2ob2o7bobo$14bo8$3o!
#C [[ GPS 32 AUTOSTART T 0 PAUSE 1 T 75 PAUSE 3 ]]

Note: This is also found by yyh_baboon.

[dvgrn]

@dvgrn, I meant that it might be able to construct a climber. Since the book regarded half bakery as a climber, I don't see why this can't be one.
How about this?

Code: Select all

x = 16, y = 12, rule = B3/S23
3bo$2b3o8b2o$b2ob2o7bobo$14bo8$3o!
#C [[ GPS 32 AUTOSTART T 0 PAUSE 1 T 75 PAUSE 3 ]]

Well, this is the distinction that I'm trying to explain here.

Half-bakery is a workable climber because it only needs one piece of external support -- and that external support (a glider) doesn't get used up when the climbing reaction happens. It's

G + half-bakery -> G + half-bakery (in different relative positions)

There's not a lot of hand-waving needed. The problem reduces to just "how do we arrange lots of copies of this so as to route the output gliders around to make new input gliders?" The HBK shows one possible answer.

Now, let's look at this latest candidate:

pi + boat + blinker -> boat + 3 blinkers + glider -> pi + boat + 2 blinkers (in different relative positions)

If the pi had happened to show up in the same position relative to the mirrored boat, that would be a little bit interesting at least.

Now, maybe you could arrange an agar of boats and have many copies of this reaction burn through the agar, leaving the same exact boat agar pattern behind. That would be a reburnable fuse, so that would definitely be interesting.

But ... well, just try finding a reburnable fuse using this reaction. At least the boat doesn't get reflected with this reaction -- that added an extra layer to the nightmare in the previous candidate -- but still, the mechanism spews out extra unwanted junk and has no obvious flexibility that might allow either emitting or not emitting an output glider. Even if it did, the number of gliders produced is less than the number of gliders that will be needed to clean up the unwanted junk... which is not a very promising sign at all.

Until a reburnable fuse exists, all you've got is a reaction where a glider rearranges some random junk into new positions, and adds some more junk. There are millions of similar reactions. Most of them can't be used to solve self-support problems, simply because they create more problems than they solve.

In this case, even if you get a reburnable agar figured out, it looks like you're going to have trouble at the edges. There are extra blinkers along the edges (at the very least, even assuming all the other problems are solved) that will need to be cleaned up before you can get to a self-supporting spaceship. There just isn't enough flexibility in the system.

It's not easy to see how optional extra "over-unity" gliders could be extracted to assist with any necessary cleanup along the edges, let alone more extra gliders to somehow reach out in front of this reaction to construct the leading edge of the agar ahead of the burning process.

Long story short, the burden of proof always has to be on the proposer of a new self-supporting spaceship mechanism, to demonstrate enough flexibility in the reaction that a completion might be possible.

[dl-rs]

clarification...


G + half-bakery -> G + half-bakery (in different relative positions)

There's not a lot of hand-waving needed. The problem reduces to just "how do we arrange lots of copies of this so as to route the output gliders around to make new input gliders?" The HBK shows one possible answer.

Now, let's look at this latest candidate:

pi + boat + blinker -> boat + 3 blinkers + glider -> pi + boat + 2 blinkers (in different relative positions)

If the pi had happened to show up in the same position relative to the mirrored boat, that would be a little bit interesting at least.

Now, maybe you could arrange an agar of boats and have many copies of this reaction burn through the agar, leaving the same exact boat agar pattern behind. That would be a reburnable fuse, so that would definitely be interesting.

But ... well, just try finding a reburnable fuse using this reaction. At least the boat doesn't get reflected with this reaction -- that added an extra layer to the nightmare in the previous candidate -- but still, the mechanism spews out extra unwanted junk and has no obvious flexibility that might allow either emitting or not emitting an output glider. Even if it did, the number of gliders produced is less than the number of gliders that will be needed to clean up the unwanted junk... which is not a very promising sign at all.

Thanks. This is the problem I was trying to solve. Although the (right hand side) blinker and the boat seems to be in relatively the same position, it is unfortunate that this reaction cannot be continued. Can anybody help with moving the Pi down after generation 75 to make Pi 'climb' on a fuse of boas and blinkers, while producing blinkers?

[confocaloid]

[...] Can anybody help with moving the Pi down after generation 75 to make Pi 'climb' on a fuse of boas and blinkers, while producing blinkers?

Do you already have some sort of high-level "design" or "sketch" for whatever you would like to construct?
What the thing is going to be, in the event that it gets constructed?
How it would/could work? What would be components, and how they would interact with each other?
Which components you already have and which components remain to be discovered?

[dl-rs]

[...] Can anybody help with moving the Pi down after generation 75 to make Pi 'climb' on a fuse of boas and blinkers, while producing blinkers?

Do you already have some sort of high-level "design" or "sketch" for whatever you would like to construct?
What the thing is going to be, in the event that it gets constructed?
How it would/could work? What would be components, and how they would interact with each other?
Which components you already have and which components remain to be discovered?

Unfortunately, I do not.
The problem is that I haven't found a reburnable fuse (the kind of which dvgrn has enphasized), which would be the main structure. Indeed the spaceship would be similar to others constructed by a helix such as waterbear and (34,7)c/156 caterpillar. However, the main concern right now is how a stable fuse can be constructed and how to use pi as a climber.

[dvgrn]

However, the main concern right now is how a stable fuse can be constructed and how to use pi as a climber.

Reburnable fuses are quite rare.

As a result, they generally have to be "discovered" rather than "constructed".

Any given randomly chosen junk-to-junk conversion, even if it looks superficially "promising" to an untrained eye, is quite unlikely to be convertible into a new never-before-seen workable reburnable fuse mechanism.

It's still possible to build spaceships or (easier, if it's possible) oscillators, or (occasionally) slide guns that support the given reaction. But that's much more along the lines of putting a bucket of scrap metal into the trunk of a Ferarri, than actually using the bucket of scrap metal to build a Ferarri.

[b-engine]

If the pi had happened to show up in the same position relative to the mirrored boat, that would be a little bit interesting at least.

This means that the pi shows up and collides with the boat again, producing the exact same constellation that triggers the reaction again and again. If it leaves nothing, it's a complete spaceship. Otherwise, just corderize it, which would take only effort of a single person.
If the puffer is made of reaction made of common patterns, it would very likely show up in Catagolue. However it doesn't, meaning that such puffer isn't likely to exist.

[confocaloid]

[...] If it leaves nothing, it's a complete spaceship. Otherwise, just corderize it, which would take only effort of a single person. [...]

I don't think that is an accurate estimate of how hard it can be to make a puffer engine into a corderoid.

The following example is OCA and therefore might be considered offtopic, but otherwise good luck making the puffer below into a corderoid. "Only effort of a single person" didn't suffice in this case:

Bump. Is it feasible to make this puffer into a spaceship? Or the description "It has massive ash trails, and no spaceships have been derived from it." applies to this one as well?

Possibly new natural (60,20)c/310 puffer in b3s236i/C1 (1TFL, toggled S6i):

Code: Select all

#C https://catagolue.hatsya.com/object/yl310_1_95_234081334800b80a8bc4f403f0d383c5/b3s236i
#C Haul (2022-10-09): https://catagolue.hatsya.com/haul/b3s236i/C1/4fbee74032fa5f24eac9155758b86624
x = 16, y = 16, rule = B3/S236i
oboooooobooooobo$
ooobbboobboooooo$
oboobbbbboobbobo$
oboboobooobbooob$
booobobbooooobbb$
bbbobbooooooobbo$
obbboobobobbobob$
bobobbbbboobobbo$
boboboooobboboob$
bbooooobbooboobo$
boboooobbbbobbbo$
obobobbobbbbobob$
oooobobbobooobbo$
boobobbbboobbbbo$
ooooobooooobbboo$
obboobobobbbooob!

[dvgrn]

Otherwise, just corderize it, which would take only effort of a single person.

"Just corderize it" is a good thing to try, for sure -- but also a bit of an oversimplification.

Basically, corderization works sometimes -- especially if there's an obvious way that the trail of junk left by an active reaction can be used to suppress the trail of junk left by another copy of the active reaction.

That happens to be doable sometimes. But it's a case-by-case analysis -- you definitely can't rely on it being possible with every puffer. Don't spend too much time trying to corderize a line puffer, for example.

The next step on the difficulty scale
The switch engines in Corderships are examples of active reactions that can support themselves with no additional inputs at all, and leave a little bit of junk behind.

Things like that are _really_ rare -- in Life, among reactions discovered in random soups, we know about the BLSE, the GPSE, and the pufferfish. We can make lots more puffers of various speeds, and we can with some effort convert just about any given puffer into a clean spaceship -- but very few of these things have ever showed up naturally.

Self-supporting spaceships don't usually rely on puffers. Or, to put it another way, stabilized-puffer spaceships like Corderships and pufferfish spaceships aren't usually classified as "self-supporting". They're "engineered", for sure -- Spaceship#Engineered_spaceships -- but they don't have to build tracks in front of themselves, so they're not quite "self-supporting". Maybe they're just "multi-self-cleaning" or some such.

Self-supporting spaceships rely on reburnable fuses, which are also very rare, but significantly more common than natural almost-clean puffers.

Think of these promising self-supporting spaceship mechanisms as active reactions that need only one input to keep them going -- the still life or blinker or glider or whatever the fuse is that makes up the trail that they're running on.

When there's only one input needed, AND when there's an easy mechanism to produce/not produce a glider or some other useful output with every cycle, then it might be possible to build a self-supporting spaceship using that mechanism. But if a candidate active reaction needs two or more inputs to keep itself going, and/or it doesn't have an optional-output mechanism, then it's most likely going to end up getting tossed into the Not Worth The Bother category.

That's not to say that things like this are completely hopeless, necessarily. They're just going to be a whole lot less promising than all of the working reburnable fuses that we already know about -- see, e.g., (13,1)c/31_Pseudo-B_climber -- that are already so difficult that we haven't managed to solve them all yet. Problems that are orders of magnitude harder than known unsolved problems, aren't generally going to get worked on until the known unsolved problems are out of the way.

[LuveelVoom]

Surprisingly small (27,1)c/72 based on a very effective overunity combination.

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x = 4400, y = 3065, rule = B3/S23
289$3737bo$3737bo$3738bo$3738bo$3738bo$3738bo$3739bo$3739bo$3739bo$3739b
o$3740bo$3740bo$3740bo$3740bo$3741bo$1110b23o2608bo$1109bo2631bo$1109b
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$1094bo42b13o2596bo$1094bo40b2o2609bo$1093bo39b2o2611bo$1093bo37b2o2613b
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$926bo287bo2570bo$925bo289bo2570bo$924bo290bo2570bo$924bo290bo2570bo$
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167b6o$970bo20b2o175b5o$969bo19b2o182b6o$968bo13b7o190b4o$968bo214b2o
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2o$953bo285b3o$952bo289b2o$952bo291b2o$951bo294b2o$951bo296b3o$950bo300b
2o$949bo303b2o$949bo305b2o$948bo308b3o$948bo311b2o$947bo314b3o$947bo317b
2o$946bo320b3o$946bo323b2o$945bo326b3o$944bo330b2o$944bo332b3o$943bo336b
2o$943bo338b3o$942bo342b2o$942bo344b3o$941bo348b3o$940bo352b2o$940bo354b
3o$939bo358b2o$939bo360b3o$938bo364b2o$938bo366b3o$937bo370b2o$936bo373b
3o$936bo376b2o$935bo379b3o$935bo382b2o$934bo385b3o387b54o$934bo388b2o
385bo53b11o$933bo391b3o381bo65b12o$932bo395b2o379bo77b11o$932bo397b3o
376bo88b11o$931bo401b2o374bo99b12o$931bo403b2o371bo112b11o$930bo406b3o
368bo123b11o$930bo409b2o366bo134b12o$929bo412b3o363bo146b7o$928bo416b
2o360bo154b2o$928bo418b3o357bo156b2o$927bo422b2o355bo158b3o$927bo424b
3o352bo161b2o$926bo428b2o349bo164b2o$926bo430b3o346bo166b3o$925bo434b
2o344bo169b2o$925bo436b3o341bo171b2o$924bo440b2o338bo174b3o$924bo442b
2o336bo177b2o$923bo445b3o333bo179b2o$923bo448b2o331bo181b2o$922bo451b
3o328bo183b3o$922bo454b2o326bo186b2o$921bo457b3o323bo188b2o$921bo460b
2o321bo190b3o$920bo463b3o318bo193b2o$920bo466b2o316bo195b2o$919bo469b
2o314bo197b3o$919bo471b3o311bo200b2o859bo$918bo475b2o309bo202b2o857bo
$918bo477b3o306bo204b3o854bo$917bo481b2o304bo207b2o852bo$917bo483b3o301b
o209b2o850bo$916bo487b2o299bo211b2o848bo$916bo489b2o297bo213bo847bo$915b
o492b3o294bo214bo846bo$915bo495b2o292bo215bo845bo$914bo498b2o290bo216b
o844bo$913bo501b2o288bo217bo843bo$913bo503bo287bo218bo842bo$912bo505b
o286bo219bo841bo$912bo506b2o284bo220bo840bo$911bo509bo283bo221bo839bo
$911bo510b2o504bo838bo$910bo513bo504bo837bo$910bo514bo504bo836bo$909b
o516b2o503bo835bo$909bo518bo503bo834bo$908bo1024bo833bo$908bo1025bo832b
o$907bo1027bo831bo$907bo1028bo830bo$906bo1030bo829bo$906bo1031bo828bo
$905bo1033bo827bo$905bo1034bo826bo$904bo1036bo825bo$904bo1037bo824bo$
903bo1039bo823bo$903bo1040bo822bo$902bo1042bo821bo$902bo1043bo820bo$901b
o1045bo819bo$901bo1046bo818bo$900bo1048bo817bo$900bo1049bo816bo$899bo
1051bo815bo$899bo1052bo814bo$898bo1054bo813bo$898bo1055bo812bo$897bo1057b
o811bo$897bo1058bo810bo$896bo1060bo809bo$896bo1061bo808bo$895bo1063bo
807bo$895bo1064bo806bo$894bo1066bo805bo$894bo1067bo804bo$893bo1069bo803b
o$893bo1070bo802bo$892bo1072bo801bo$892bo1073bo800bo$892bo1074bo799bo
$891bo1076bo798bo$891bo1077bo797bo$890bo1079bo796bo$890bo1080bo795bo$
889bo1082bo794bo$889bo1083bo793bo$888bo1085b2o791bo$888bo1087bo790bo$
887bo1089bo342b41o406bo$887bo1090bo339b2o447bo$886bo1092bo336b2o449bo
$886bo1093bo332b3o451bo$885bo1095bo329b2o454bo$885bo1096bo326b2o456bo
$885bo1097bo322b3o458bo$884bo1099bo319b2o461bo$884bo1100bo316b2o463bo
$883bo1102bo312b3o465bo$883bo1103bo309b2o468bo$882bo1105bo306b2o470bo
$882bo1106bo303b2o472bo$881bo1108bo299b3o474bo$881bo1001b12o96bo296b2o
477bo$880bo1000b2o109bo293b2o479bo$880bo997b3o112bo289b3o481bo$879bo996b
2o116bo286b2o484bo$879bo994b2o119bo283b2o486bo$879bo991b3o122bo280b2o
488bo$878bo990b2o126bo278bo490bo$878bo987b3o129bo276bo491bo$877bo986b
2o133bo273b2o492bo$877bo984b2o136bo271bo494bo$876bo982b3o139bo269bo495b
o$876bo979b3o143bo267bo496bo$875bo977b3o147bo265bo497bo$875bo975b2o151b
o263bo498bo$874bo973b3o154bo260b2o499bo$874bo970b3o158bo258bo501bo$873b
o968b3o162bo256bo502bo$873bo965b3o166bo254bo503bo$872bo963b3o170bo252b
o504bo$872bo961b2o174bo249b2o505bo$872bo958b3o177bo247bo79b7o421bo$871b
o956b3o181bo245bo77b3o7bo420bo$871bo953b3o185bo243bo76b2o11bo419bo$870b
o951b3o189bo241bo74b3o14bo418bo$870bo948b3o193bo239bo72b3o18bo417bo$869b
o947b2o197bo236b2o71b2o22bo416bo$869bo944b3o200bo234bo70b3o25b2o414bo
$868bo942b3o204bo232bo68b3o30b2o412bo$868bo939b3o208bo230bo67b2o35bo411b
o$867bo937b3o212bo228bo66b2o38b2o409bo$867bo934b3o216bo226bo67bo41b2o
407bo$866bo933b2o220bo223b2o67bo44b2o405bo$866bo930b3o223bo221bo69bo46b
o404bo$865bo928b3o227bo219bo69bo48b2o402bo$865bo925b3o231bo217bo70bo50b
2o400bo$865bo923b2o235bo215bo70bo53bo399bo$864bo922b2o238bo214bo70bo54b
2o397bo$864bo920b2o241bo212bo70bo57b2o395bo$863bo919b2o244bo210bo71bo
59b2o393bo$863bo917b2o247bo209bo70bo62b2o391bo$862bo916b2o249bo208bo136b
2o389bo$862bo914b2o252bo206bo139b2o387bo$862bo912b2o254bo205bo142b2o385b
o$861bo911b2o256bo205bo144b2o383bo$861bo909b2o258bo204bo147b2o381bo$860b
o908b2o261bo202bo150b2o379bo$860bo906b2o263bo202bo152b2o377bo$859bo905b
2o265bo201bo155b2o375bo$859bo903b2o268bo199bo158b2o373bo$859bob2o898b
2o270bo199bo160b2o371bo$858bo4b3o893b2o272bo198bo163b2o369bo$858bo7b3o
888b2o275bo196bo166b2o367bo$857bo11b2o884b2o277bo196bo168b2o365bo$857b
o13b3o879b2o279bo195bo171b2o363bo$856bo17b2o875b2o281bo194bo174b2o361b
o$856bo19bo872b2o284bo192bo177b2o359bo$856bo20b2o868b2o286bo192bo179b
2o357bo$855bo23bo865b2o288bo191bo182b2o355bo$855bo24b36o827b2o291bo189b
o185b2o353bo$854bo61b4o821b2o293bo189bo187b2o351bo$854bo65b3o816b2o295b
o188bo190b2o349bo$853bo69b4o810b2o298bo186bo193b2o347bo$853bo73b3o805b
2o300bo186bo195b2o345bo$853bo76b4o799b2o302bo185bo198b2o343bo$852bo81b
3o794b2o304bo184bo201b2o341bo$852bo84b4o788b2o307bo182bo204bo340bo$851b
o89b4o782b2o309bo182bo205bo339bo$851bo93b3o777b2o311bo181bo207b2o337b
o$851bo96b4o772bo314bo179bo210bo336bo$850bo101b3o768bo315bo179bo211bo
335bo$850bo104b4o763bo316bo178bo213b2o333bo$849bo109b3o759bo318bo176b
o216bo332bo$849bo112b4o754bo319bo176bo217bo331bo$848bo117b4o749bo320b
o175bo219b2o329bo$848bo121b5o743bo321bo174bo222bo328bo$848bo126b5o737b
o323bo173bo223bo327bo$847bo132b4o732bo324bo172bo225b2o325bo$847bo136b
5o726bo325bo171bo228bo324bo$846bo142b5o720bo327bo169bo230b2o322bo$846b
o147b5o714bo328bo169bo232bo321bo$845bo153b5o708bo329bo168bo234bo320bo
$845bo158b5o702bo331bo166bo236b2o318bo$845bo163b5o696bo332bo166bo238b
o317bo$844bo169b4o691bo333bo165bo240bo316bo$844bo173b5o685bo334bo164b
o242b2o314bo$843bo179b5o679bo336bo163bo244bo313bo$843bo184b5o673bo337b
o162bo246bo312bo$842bo190b5o667bo338bo162bo247b2o310bo$842bo195b5o661b
o340bo160bo250bo309bo$842bo200b5o655bo341bo160bo251b2o307bo$841bo206b
4o650bo342bo159bo254bo306bo$841bo210b5o644bo343bo159bo255bo305bo$840b
o216b5o638bo345bo157bo257b2o303bo$840bo221b5o632bo346bo157bo259bo302b
o$839bo227b5o626bo347bo156bo261bo301bo$839bo232b5o620bo349bo155bo262b
2o299bo$839bo237b5o614bo350bo154bo265bo298bo$838bo243b4o609bo351bo153b
o267bo297bo$838bo247b5o603bo353bo152bo268b2o295bo$837bo253b5o597bo354b
o151bo271bo294bo$837bo258b5o591bo355bo151bo272bo293bo$836bo264b5o585b
o356bo150bo274b2o291bo$836bo269b5o579bo358bo149bo276bo290bo$835bo275b
5o573bo359bo148bo278bo289bo$835bo280b4o568bo360bo148bo279bo288bo$834b
o285b5o562bo362bo146bo281b2o286bo$834bo290b5o556bo363bo146bo283bo285b
o$833bo296b5o550bo364bo145bo285bo284bo$833bo301b4o545bo366bo144bo286b
o283bo$832bo306b4o540bo367bo143bo288bo282bo$832bo310b5o534bo368bo142b
o290bo281bo$831bo316b4o529bo369bo142bo291b2o279bo$831bo320b4o524bo371b
o140bo294bo278bo$830bo325b5o518bo372bo140bo295bo277bo$830bo330b4o513b
o373bo139bo297bo276bo$829bo335b4o508bo375bo138bo298bo275bo$829bo339b5o
502bo376bo137bo300bo274bo$828bo345b4o497bo377bo137bo301b2o272bo$828bo
349b4o492bo379bo135bo304bo271bo$827bo354b5o486bo380bo135bo305bo270bo$
827bo359b4o481bo381bo134bo307bo269bo$826bo364b5o475bo382bo133bo309bo268b
o$826bo369b4o470bo384bo132bo310b2o266bo$825bo374b4o465bo385bo131bo313b
o265bo$825bo378b5o459bo386bo131bo314bo264bo$824bo384b4o454bo388bo129b
o316bo263bo$824bo388b4o449bo389bo129bo317bo262bo$823bo393b5o443bo390b
o128bo319bo261bo$822bo399b4o438bo391bo128bo320b2o259bo$822bo403b4o433b
o393bo126bo323bo258bo$821bo408b5o427bo394bo126bo324bo257bo$821bo413b4o
422bo395bo125bo326bo256bo$820bo418b4o417bo397bo124bo327bo255bo$820bo422b
5o411bo398bo123bo329bo254bo$819bo428b4o407bo398bo122bo331b2o252bo$819b
o432b4o402bo400bo121bo333bo251bo$818bo437b5o396bo401bo120bo335bo250bo
$818bo442b5o390bo402bo120bo336bo249bo$817bo448b5o385bo402bo119bo338bo
248bo$817bo453b5o379bo404bo118bo339bo247bo$816bo459b5o373bo405bo117bo
341b2o245bo$816bo464b6o366bo406bo117bo343bo244bo$815bo471b5o361bo407b
o115bo345bo243bo$815bo476b5o355bo408bo115bo346bo242bo$814bo482b5o349b
o409bo114bo348bo241bo$814bo487b5o343bo411bo113bo349bo240bo$813bo493b5o
338bo411bo112bo351b2o238bo$813bo498b5o332bo412bo112bo353bo237bo$812bo
504b5o326bo413bo112bo354bo236bo$812bo509b5o320bo415bo110bo356bo235bo$
811bo515b5o315bo415bo110bo357bo234bo$810bo521b6o308bo416bo110bo358b2o
232bo$810bo527b5o302bo418bo109bo360bo231bo$809bo533b5o296bo419bo109bo
361bo230bo$809bo538b5o291bo419bo108bo363bo229bo$808bo544b5o285bo421bo
107bo364bo228bo$808bo549b10o274bo422bo107bo365bo227bo$807bo560b16o257b
o423bo107bo366b2o225bo$807bo576b16o241bo423bo106bo369bo224bo$806bo593b
16o224bo425bo105bo370bo223bo$806bo609b23o200bo426bo105bo371bo222bo$805b
o832bo427bo105bo372bo221bo$805bo831bo429bo104bo372bo221bo$804bo832bo429b
o103bo374bo220bo$804bo831bo430bo103bo375bo219bo$803bo831bo432bo102bo376b
o218bo$803bo830bo433bo102bo376bo218bo$802bo831bo433bo102bo377bo217bo$
802bo830bo434bo101bo379bo216bo$801bo830bo436bo100bo379bo216bo$801bo829b
o437bo100bo380bo215bo$800bo830bo437bo100bo381bo214bo$800bo829bo438bo99b
o382bo214bo$799bo829bo438bo100bo383bo213bo$799bo828bo439bo100bo384bo212b
o$798bo829bo439bo100bo385bo211bo566b21o$798bo828bo440bo100bo385bo211b
o563b3o$797bo828bo441bo99bo387bo210bo560b3o$797bo827bo441bo100bo388bo
209bo557b3o$796bo828bo441bo100bo388bo209bo554b3o$796bo827bo442bo100bo
389bo208bo552b2o$795bo827bo443bo100bo390bo207bo550b2o$795bo826bo444bo
99bo392bo206bo548b2o$794bo827bo443bo100bo392bo206bo546b2o$794bo826bo444b
o100bo393bo205bo545bo$793bo826bo445bo100bo394bo204bo543b2o$793bo825bo
446bo99bo395bo204bo541b2o$792bo825bo447bo99bo396bo203bo540bo$792bo825b
o446bo100bo397bo202bo538b2o$791bo825bo447bo100bo397bo202bo536b2o$791b
o824bo448bo100bo398bo201bo534b2o$791bo823bo449bo99bo400bo200bo533bo$790b
o824bo448bo100bo401bo199bo531b2o$790bo823bo449bo100bo401bo199bo529b2o
$789bo823bo450bo100bo402bo198bo527b2o$789bo822bo451bo100bo402bo198bo525b
2o$788bo823bo451bo99bo404bo197bo523b2o$788bo822bo451bo100bo404bo197bo
521b2o$787bo822bo452bo100bo405bo196bo519b2o$787bo821bo453bo100bo405bo
196bo517b2o$786bo822bo453bo99bo407bo195bo514b3o$786bo821bo454bo99bo407b
o195bo512b2o$785bo821bo454bo100bo408bo194bo510b2o$785bo820bo455bo100b
o408bo194bo508b2o$784bo821bo455bo100bo409bo193bo506b2o$784bo820bo456b
o99bo410bo193bo504b2o$784bo819bo457bo99bo411bo192bo501b3o$783bo819bo457b
o100bo411bo192bo499b2o$783bo819bo457bo100bo411bo192bo497b2o$782bo819b
o458bo100bo412bo191bo495b2o$782bo818bo459bo99bo413bo191bo493b2o$781bo
818bo460bo99bo414bo190bo490b3o$781bo818bo459bo100bo414bo190bo488b2o$780b
o818bo460bo100bo415bo189bo486b2o$780bo817bo461bo100bo415bo189bo484b2o
$779bo817bo462bo99bo417bo188bo482b2o$779bo817bo462bo99bo417bo188bo480b
2o$778bo817bo462bo100bo418bo187bo477b3o$778bo817bo462bo100bo418bo187b
o475b2o$778bo816bo463bo99bo420bo186bo473b2o$777bo817bo463bo99bo420bo186b
o471b2o$777bo816bo464bo99bo420bo186bo469b2o$776bo817bo463bo100bo421bo
185bo467b2o$776bo816bo464bo100bo421bo185bo464b3o$775bo817bo464bo99bo423b
o184bo462b2o$775bo816bo465bo99bo423bo184bo460b2o$774bo817bo464bo100bo
424bo183bo457b3o$774bo816bo465bo100bo424bo183bo455b2o$773bo817bo465bo
100bo425bo182bo453b2o$773bo816bo466bo99bo426bo182bo451b2o$772bo817bo466b
o99bo427bo181bo448b3o$772bo816bo466bo100bo427bo181bo446b2o$771bo817bo
466bo100bo427bo181bo444b2o$771bo816bo467bo99bo429bo180bo441b3o$771bo816b
o467bo99bo429bo180bo439b2o$770bo816bo468bo99bo430bo179bo437b2o$770bo816b
o467bo100bo430bo179bo435b2o$769bo816bo468bo100bo431bo178bo432b3o$769b
o816bo468bo99bo432bo178bo430b2o$768bo816bo469bo99bo433bo177bo428b2o$768b
o816bo469bo99bo433bo177bo425b3o$767bo816bo469bo100bo434bo176bo423b2o$
767bo816bo469bo100bo434bo176bo421b2o$766bo816bo470bo99bo436bo175bo418b
3o$766bo816bo469bo100bo436bo175bo416b2o$765bo816bo470bo100bo436bo175b
o414b2o$765bo816bo469bo101bo437bo174bo412b2o$764bo816bo470bo100bo438b
o174bo409b3o$764bo816bo469bo101bo439bo173bo407b2o$764bo815bo470bo101b
o439bo173bo405b2o$763bo816bo469bo102bo440bo172bo402b3o$763bo815bo470b
o102bo440bo172bo400b2o$762bo816bo469bo102bo442bo171bo398b2o$762bo815b
o469bo103bo442bo171bo396b2o$761bo816bo469bo103bo443bo170bo393b3o$761b
o815bo469bo104bo443bo170bo391b2o$760bo816bo469bo104bo444bo169bo389b2o
$760bo815bo469bo104bo445bo169bo387b2o$759bo816bo469bo104bo445bo169bo385b
2o$759bo815bo469bo105bo445bo169bo383b2o$758bo816bo468bo106bo445bo169b
o381b2o$758bo815bo469bo105bo446bo169bo379b2o$757bo816bo468bo106bo446b
o169bo377b2o$757bo815bo469bo106bo446bo169bo376bo$756bo816bo468bo107bo
446bo169bo374b2o$756bo815bo469bo107bo446bo169bo372b2o$756bo815bo468bo
107bo447bo169bo370b2o$755bo815bo469bo107bo447bo169bo368b2o$755bo815bo
468bo108bo447bo169bo366b2o$754bo815bo468bo109bo447bo169bo365bo$754bo815b
o468bo109bo447bo169bo363b2o$753bo815bo468bo109bo448bo169bo361b2o$753b
o815bo468bo109bo448bo169bo359b2o$752bo815bo468bo110bo448bo169bo357b2o
$752bo815bo468bo110bo448bo169bo356bo$751bo815bo468bo110bo449bo169bo354b
2o$751bo815bo468bo110bo449bo169bo352b2o$750bo815bo468bo111bo449bo169b
o350b2o$750bo815bo467bo112bo449bo169bo348b2o$749bo815bo467bo113bo449b
o169bo346b2o$749bo815bo466bo113bo450bo169bo345bo$748bo815bo466bo114bo
450bo169bo343b2o$748bo815bo465bo115bo450bo169bo341b2o$747bo815bo466bo
115bo450bo169bo339b2o$747bo815bo465bo116bo450bo169bo337b2o$747bo814bo
465bo117bo450bo169bo335b2o$746bo815bo464bo118bo450bo169bo334bo$746bo814b
o464bo119bo450bo169bo332b2o$745bo815bo463bo120bo450bo169bo330b2o$745b
o814bo463bo121bo450bo169bo328b2o$744bo815bo462bo122bo450bo169bo326b2o
$744bo814bo462bo123bo450bo169bo324b2o$743bo815bo461bo124bo450bo169bo322b
2o$743bo814bo461bo125bo450bo169bo320b2o$742bo815bo461bo125bo450bo169b
o318b2o$742bo814bo461bo126bo450bo169bo316b2o$741bo815bo460bo127bo450b
o169bo314b2o$741bo814bo460bo128bo450bo169bo312b2o$740bo815bo459bo129b
o450bo169bo310b2o$740bo814bo459bo130bo450bo169bo308b2o$739bo815bo458b
o131bo450bo169bo306b2o$739bo814bo458bo132bo450bo169bo305bo$739bo814bo
457bo133bo450bo169bo304bo$739bo813bo457bo134bo450bo169bo303bo$738bo814b
o457bo134bo450bo169bo302bo$738bo814bo456bo135bo450bo169bo301bo$738bo814b
o455bo136bo450bo169bo300bo$738bo813bo455bo137bo450bo169bo300bo$738bo813b
o454bo138bo450bo169bo300bo$737bo814bo453bo139bo450bo169bo300bo$737bo814b
o452bo140bo450bo169bo300bo$737bo813bo452bo141bo450bo169bo300bo$737bo813b
o451bo142bo450bo169bo300bo$737bo813bo450bo143bo450bo169bo300bo$736bo814b
o449bo144bo450bo169bo300bo$736bo813bo450bo144bo450bo169bo300bo$736bo813b
o449bo145bo450bo169bo300bo$736bo813bo448bo146bo450bo169bo300bo$736bo813b
o447bo147bo450bo169bo300bo$735bo813bo447bo148bo450bo169bo300bo$735bo813b
o446bo149bo450bo169bo300bo$735bo813bo445bo150bo450bo169bo300bo$735bo813b
o444bo151bo450bo169bo300bo$735bo812bo444bo152bo449bo170bo301bo$734bo813b
o443bo153bo449bo170bo301bo$734bo813bo442bo154bo449bo170bo301bo$734bo812b
o443bo154bo449bo170bo301bo$734bo812bo442bo155bo449bo170bo302bo$733bo813b
o441bo156bo448bo171bo302bo$733bo813bo440bo157bo448bo171bo302bo$733bo812b
o440bo158bo448bo171bo302bo$733bo812bo439bo159bo448bo171bo303bo$733bo812b
o438bo160bo448bo171bo303bo$732bo813bo437bo161bo447bo172bo303bo$732bo812b
o437bo162bo447bo172bo303bo$732bo812bo436bo163bo447bo172bo304bo$732bo812b
o435bo164bo447bo172bo304bo$732bo812bo435bo164bo447bo172bo304bo$731bo812b
o435bo165bo446bo173bo304bo$731bo812bo434bo166bo446bo173bo305bo$731bo812b
o433bo167bo446bo173bo305bo$731bo812bo432bo168bo446bo173bo306bo$731bo811b
o432bo169bo446bo173bo306bo$730bo812bo431bo170bo445bo174bo307bo$730bo812b
o430bo171bo445bo174bo307bo$730bo812bo429bo172bo445bo174bo308bo$730bo811b
o429bo173bo445bo174bo309bo$730bo811bo428bo174bo444bo175bo309bo$729bo812b
o428bo174bo444bo175bo310bo$729bo812bo427bo175bo444bo175bo311bo$729bo811b
o427bo176bo444bo175bo311bo$729bo811bo426bo177bo444bo175bo312bo$729bo811b
o425bo178bo443bo176bo312bo$728bo811bo425bo179bo443bo176bo313bo$728bo811b
o424bo180bo443bo176bo314bo$728bo811bo423bo181bo443bo176bo314bo$728bo811b
o422bo182bo443bo176bo315bo$728bo810bo422bo183bo442bo177bo315bo$727bo811b
o422bo183bo442bo177bo316bo$727bo811bo421bo184bo442bo177bo317bo$727bo811b
o420bo185bo442bo177bo317bo$727bo810bo420bo186bo442bo177bo318bo$726bo811b
o419bo187bo441bo178bo319bo$726bo811bo418bo188bo441bo178bo319bo$726bo811b
o417bo189bo441bo178bo320bo$726bo810bo417bo191bo440bo178bo320bo$726bo810b
o416bo192bo440bo178bo321bo$725bo811bo415bo194bo438bo179bo322bo$725bo811b
o414bo196bo437bo179bo322bo$725bo810bo415bo196bo437bo179bo323bo$1536bo
414bo198bo436bo179bo323bo$1536bo413bo200bo435bo179bo324bo$1536bo412bo
202bo433bo180bo325bo$1535bo412bo203bo433bo180bo325bo$1535bo411bo205bo
432bo180bo326bo$1535bo410bo207bo431bo180bo327bo$1536bo407b2o208bo431b
o181bo326bo$1536bo406bo211bo429bo182bo327bo$1536bo405bo213bo428bo182b
o327bo$1537bo403bo214bo428bo182bo328bo$1537bo402bo216bo427bo183bo328b
o$1537bo400b2o218bo426bo183bo329bo$1538bo398bo221bo424bo184bo330bo$1538b
o397bo222bo424bo184bo331bo$1538bo396bo224bo423bo185bo331bo$1539bo394b
o226bo422bo185bo332bo$1539bo392b2o227bo422bo185bo333bo$1539bo391bo230b
o420bo186bo334bo$1540bo389bo232bo419bo187bo334bo$1540bo388bo233bo419b
o187bo335bo$1540bo387bo235bo418bo187bo336bo$1541bo384b2o237bo416bo188b
o337bo$1541bo383bo240bo415bo189bo337bo$1541bo382bo241bo415bo189bo338b
o$1542bo380bo243bo414bo189bo339bo$1542bo379bo245bo413bo189bo340bo$1542b
o377b2o246bo412bo191bo340bo$1543bo375bo249bo411bo191bo341bo$1543bo374b
o251bo410bo191bo342bo$1543bo373bo252bo410bo191bo343bo$1544bo371bo254b
o409bo192bo343bo$1544bo369b2o256bo407bo193bo344bo$1544bo368bo259bo406b
o193bo345bo$1544bo367bo260bo406bo193bo346b2o$1545bo365bo262bo405bo194b
o347bo$1545bo364bo264bo404bo194bo348bo$1545bo363bo265bo403bo195bo349b
o$1546bo360b2o267bo402bo195bo350bo$1546bo359bo270bo401bo196bo350bo$1546b
o358bo271bo401bo196bo351bo$1547bo356bo273bo400bo196bo352bo$1547bo355b
o275bo398bo197bo353bo$1547bo354bo277bo397bo198bo353bo$1548bo351b2o278b
o397bo198bo354bo$1548bo350bo281bo395bo199bo355bo$1548bo349bo283bo393b
o200bo356bo$1549bo347bo284bo392bo201bo357bo$1549bo346bo286bo390bo203b
o357bo$1549bo344b2o288bo388bo204bo358bo$1550bo342bo290bo388bo204bo359b
o$1550bo341bo292bo386bo205bo360bo$1550bo340bo294bo384bo206bo361bo$1551b
o338bo296bo382bo207bo362bo$1551bo337bo297bo381bo208bo363bo$1551bo335b
2o299bo379bo210bo363bo$1552bo333bo302bo377bo211bo364bo$1552bo332bo303b
o376bo212bo365bo$1552bo331bo305bo374bo213bo366bo$1553bo329bo307b2o371b
o214bo367b2o$1553bo328bo310b2o368bo215bo369b2o$1553bo326b2o313bo366bo
216bo371b2o$1554bo324bo316b2o364bo217bo372b2o$1554bo323bo319b2o361bo218b
o374b2o$1555b2o320bo322bo359bo219bo376b2o$1557b2o317bo324b2o356bo220b
o378b2o$1559b2o314bo327b2o353bo221bo380b2o$1561b2o310b2o330bo351bo222b
o382b2o$1563b2o307bo333b2o348bo224bo383b6o$1565b2o304bo336b2o345bo225b
o384b3o$1567bo302bo339bo343bo226bo381b3o$1568b2o299bo341b2o340bo227bo
378b3o$1570b2o296bo344b2o337bo228bo375b3o$1572b2o292b2o347bo335bo229b
o373b2o$1574b2o289bo350b2o333bo229bo370b3o$1576b2o286bo353b2o330bo231b
o366b3o$1578b2o283bo356bo328bo232bo363b3o$1580bo281bo358b2o325bo233bo
360b3o$1581b2o277b2o361b2o322bo234bo357b3o$1583b2o274bo365bo320bo235b
o354b3o$1585b2o271bo367b2o317bo237bo349b4o$1587b2o268bo370bo315bo238b
o346b3o$1589b2o265bo372b2o312bo239bo343b3o$1591bo263bo375b2o309bo241b
o339b3o$1592b2o259b2o378bo307bo242bo336b3o$1594b2o256bo381b2o305bo243b
o331b4o$1596b2o253bo384b2o302bo244bo328b3o$1598b2o250bo387bo300bo245b
o233bo91b3o$1600b2o246b2o389b2o297bo247bo232bo88b3o$1602b2o243bo393b2o
294bo248bo232bo85b3o$1604bo240b2o396bo292bo249bo232bo82b3o$1605b2o237b
o399b2o289bo251bo231bo79b3o$1607b2o233b2o402b2o286bo252bo231b11o66b3o
$1609b2o230bo406bo284bo254bo241b2o61b3o$1611b2o226b2o408b2o281bo255bo
243b2o56b3o$1613b2o223bo412b2o278bo256bo245b2o51b3o$1615b2o219b2o415b
o276bo258bo246b2o46b3o$1617b2o216bo418b2o274bo258bo248b2o40b4o$1619b4o
210b2o421b2o271bo259bo250bo34b5o$1623b3o206bo425bo269bo261bo250bo28b5o
$1626b4o200b2o427b2o266bo262bo251bo23b4o$1630b3o196bo431b2o263bo264bo
251bo17b5o$1633b4o190b2o434b3o258b2o265bo252b17o$1637b3o186bo439b4o252b
2o267bo$1640b4o180b2o444b5o244b3o270bo$1644b3o176bo451b4o238b2o273bo$
1647b4o171bo456b4o231b3o276bo$1651b3o166b2o461b5o224b2o279bo$1654b4o161b
o468b4o217b3o282bo$1658b3o156b2o473b5o210b2o285bo$1661b4o151bo480b4o203b
3o288bo$1665b4o145b2o485b4o197b2o291bo$1669b3o141bo491b5o189b3o294bo$
1672b4o135b2o497b4o183b2o$1676b3o131bo503b5o175b3o$1679b4o125b2o509b4o
169b2o$1683b3o121bo515b5o161b3o$1686b4o115b2o521b4o154b3o$1690b3o111b
o527b4o148b2o$1693b4o105b2o532b5o140b3o$1697b3o101bo539b4o134b2o$1700b
4o95b2o544b5o126b3o$1704b3o91bo551b4o120b2o$1707b4o85b2o556b4o113b3o$
1711b3o81bo562b5o106b2o$1714b4o75b2o568b4o99b3o$1718b75o574b11o86b2o$
2378b16o67b3o$2394b17o48b2o$2411b17o28b3o$2428b16o10b2o$2444b10o!

Can you see the really clever bit in the middle?

[hth3]

Some other interesting reactions:

Code: Select all

2bo$obo$b2o7$25b3o8b2o$25bobo8bobo$25bobo9bo

this one uses the trash to turn a glider 90 degrees.
and this one:

Code: Select all

14b3o8b2o$14bobo8bobo$o13bobo9bo$o$o

a similar reaction to dl-rs’s,turning a blinker into a glider.
Might also be useful.

Another interesting reaction:

Code: Select all

x = 51, y = 14, rule = B3/S23
48bo$48bobo$2bo45b2o$obo$b2o7$25b3o8b2o$25bobo8bobo$25bobo9bo!

(turns a G into a boat)
A 2G to 2G:

Code: Select all

x = 51, y = 18, rule = B3/S23
48bo$48bobo$48b2o4$2bo$obo$b2o7$25b3o8b2o$25bobo8bobo$25bobo9bo!

EDIT by dvgrn: A more complete description is 2G + pi + boat -> 2G + same orientation of boat offset by (-11,-11) (but no pi).

Even without the disappearing pi, this would only maintain the same number of outputs as inputs -- it wouldn't be the kind of "optional over-unity reaction" needed to build spaceships. With the pi getting used up, it's really just one of many hundreds or thousands of similar reactions that look superficially like they might amount to something, but don't really work out as a spaceship engine.

It's probably a good idea to find somewhere other than the "Construction Challenges and Ideas" thread to post these -- or at least do a survey and post several thousand at once, not one at a time.

[CARuler]

make a ship out of this: (elephantship)

[confocaloid]

^^ If you want it to happen, it might be interesting to actually attempt to make it happen, and see what could be obstacles or difficulties about the idea.

[R2INT]

Are there any patterns that implement the IEEE-754 standard floating-point arithmetic?

Also, here is a 2G reaction that can be used to cleanly escort a pi-heptomino by 9 cells after 30 generations (shown here after 1 generation):

Code: Select all

x = 155, y = 147, rule = B3/S23
2bo149bo$obo149bobo$b2o149b2o14$9bo135bo$10bo133bo$8b3o133b3o15$17bo119b
o$15bobo119bobo$16b2o119b2o14$24bo105bo$25bo103bo$23b3o103b3o15$32bo89b
o$30bobo89bobo$31b2o89b2o14$39bo75bo$40bo73bo$38b3o73b3o15$47bo59bo$45b
obo59bobo$46b2o59b2o14$54bo45bo$55bo43bo$53b3o43b3o15$62bo29bo$60bobo
29bobo$61b2o29b2o10$77bo$76bobo$75b2ob2o!

I wonder if some sort of engineered spaceship can be made using this. . .

EDIT: From left to right: boat puffer, another stabilization:

Code: Select all

x = 349, y = 145, rule = B3/S23
2bo151bo$obo151bobo$b2o151b2o2$192bo155bo$193b2o151b2o$192b2o153b2o10$
9bo137bo$10bo135bo$8b3o135b3o3$199bobo137bobo$200b2o137b2o$200bo139bo
10$17bo121bo$15bobo121bobo$16b2o121b2o2$207bo125bo$208b2o121b2o$207b2o
123b2o10$24bo107bo$25bo105bo$23b3o105b3o3$214bobo107bobo$215b2o107b2o
$215bo109bo10$32bo91bo$30bobo91bobo$31b2o91b2o2$222bo95bo$223b2o91b2o
$222b2o93b2o10$39bo77bo$40bo75bo$38b3o75b3o3$229bobo77bobo$230b2o77b2o
$230bo79bo10$47bo61bo$45bobo61bobo$46b2o61b2o2$237bo65bo$238b2o61b2o$
237b2o63b2o10$54bo47bo$55bo45bo$53b3o45b3o3$244bobo47bobo$245b2o47b2o
$245bo49bo10$62bo31bo$60bobo31bobo$61b2o31b2o2$252bo35bo$253b2o31b2o$
252b2o33b2o4$78bo191bo$77bobo189bobo$76b2ob2o187b2ob2o!

EDIT2: From left to right:

• Boat+blinker puffer
• Period-doubled blinker puffer
• Period-quadrupled puffer of a block, 3 beehives, and a loaf:

  Code: Select all

  #C This pattern displays 1 section of the ash left behind by the puffer
  x = 51, y = 22, rule = B3/S23
  bo47bo$obo45bobo$obo45bobo$bo47bo$21bo7bo$11b2o7bobo5bobo7b2o$11b2o6b
  o2bo5bo2bo6b2o$20b2o7b2o10$12bo25bo$bo9bobo23bobo9bo$obo8bobo23bobo8b
  obo$obo9bo25bo9bobo$bo47bo!

• Block and longboat puffer
• Loaf puffer

Code: Select all

x = 1721, y = 301, rule = B3/S23
293bo181bo$294bo179bo$292b3o179b3o15$301bo165bo$299bobo165bobo$300b2o
165b2o4$694bo271bo$695bo269bo$693b3o269b3o8$308bo151bo$309bo149bo$307b
3o149b3o3$1563bo155bo$1564bo153bo$bo149bo550bo255bo603b3o153b3o$2bo147b
o549bobo255bobo363bo153bo$3o147b3o548b2o255b2o365bo151bo$1323b3o151b3o
7$316bo135bo$314bobo135bobo$315b2o135b2o3$1571bo139bo$709bo241bo617bo
bo139bobo$9bo133bo566bo239bo619b2o139b2o$7bobo133bobo562b3o239b3o379b
o137bo$8b2o133b2o1185bobo137bobo$1331b2o137b2o6$323bo121bo$324bo119bo
$322b3o119b3o3$1578bo125bo$1579bo123bo$16bo119bo580bo225bo633b3o123b3o
$17bo117bo579bobo225bobo393bo123bo$15b3o117b3o578b2o225b2o395bo121bo$
1338b3o121b3o7$331bo105bo$329bobo105bobo$330b2o105b2o3$1586bo109bo$724b
o211bo647bobo109bobo$24bo103bo596bo209bo649b2o109b2o$22bobo103bobo592b
3o209b3o409bo107bo$23b2o103b2o1215bobo107bobo$1346b2o107b2o6$338bo91b
o$339bo89bo$337b3o89b3o3$1593bo95bo$1594bo93bo$31bo89bo610bo195bo663b
3o93b3o$32bo87bo609bobo195bobo423bo93bo$30b3o87b3o608b2o195b2o425bo91b
o$1353b3o91b3o7$346bo75bo$344bobo75bobo$345b2o75b2o3$1601bo79bo$739bo
181bo677bobo79bobo$39bo73bo626bo179bo679b2o79b2o$37bobo73bobo622b3o179b
3o439bo77bo$38b2o73b2o1245bobo77bobo$1361b2o77b2o6$353bo61bo$354bo59b
o$352b3o59b3o3$1608bo65bo$1609bo63bo$46bo59bo640bo165bo693b3o63b3o$47b
o57bo639bobo165bobo453bo63bo$45b3o57b3o638b2o165b2o455bo61bo$1368b3o61b
3o7$361bo45bo$359bobo45bobo$360b2o45b2o3$1616bo49bo$754bo151bo707bobo
49bobo$54bo43bo656bo149bo709b2o49b2o$52bobo43bobo652b3o149b3o469bo47b
o$53b2o43b2o1275bobo47bobo$1376b2o47b2o6$368bo31bo$369bo29bo$367b3o29b
3o3$1623bo35bo$1624bo33bo$61bo29bo670bo135bo723b3o33b3o$62bo27bo669bo
bo135bobo483bo33bo$60b3o27b3o668b2o135b2o485bo31bo$1383b3o31b3o3$1641b
o$384bo1255bobo$383bobo1015bo237b2ob2o$382b2ob2o1013bobo$1399b2ob2o2$
76bo$75bobo$74b2ob2o2$769bo121bo$770bo119bo$768b3o119b3o15$777bo105bo
$775bobo105bobo$776b2o105b2o14$784bo91bo$785bo89bo$783b3o89b3o15$792b
o75bo$790bobo75bobo$791b2o75b2o14$799bo61bo$800bo59bo$798b3o59b3o15$807b
o45bo$805bobo45bobo$806b2o45b2o14$814bo31bo$815bo29bo$813b3o29b3o9$830b
o$829bobo$828b2ob2o!

EDIT3: Things that pi can do to the boat+blinker trail:

Code: Select all

x = 103, y = 148, rule = B3/S23
$99bo$98bo$98b3o15$91bo$91bobo$91b2o14$84bo$83bo$83b3o15$76bo$76bobo$
76b2o14$69bo$68bo$68b3o2$9bo$8bobo$8b2o2$11b3o5$9bo$8bobo$8b2o2$11b3o
47bo$61bobo$61b2o3$9bo$8bobo$8b2o2$11b3o5$9bo$8bobo$8b2o44bo$53bo$11b
3o39b3o5$9bo$8bobo$8b2o2$11b3o5$9bo$8bobo35bo$8b2o36bobo$46b2o$11b3o5$
9bo$8bobo$8b2o2$11b3o4$39bo$9bo28bo$8bobo27b3o$8b2o2$11b3o5$9bo$8bobo
$8b2o14bo$23bobo$11b3o8b2ob2o!

EDIT4: Some more stuff:

Code: Select all

x = 741, y = 543, rule = B3/S23
226bo$227bo$225b3o511bo$738bo$738b3o13$234bo$232bobo$233b2o496bo$731b
obo$731b2o12$241bo$242bo$240b3o481bo$723bo$723b3o13$249bo$247bobo$248b
2o466bo$716bobo$716b2o12$256bo$257bo$255b3o451bo$708bo$708b3o13$264bo
$262bobo$263b2o436bo$701bobo$701b2o12$271bo$272bo$270b3o421bo$693bo$693b
3o13$279bo$277bobo$278b2o406bo$686bobo$686b2o12$286bo$287bo$285b3o391b
o$678bo$678b3o13$294bo$292bobo$293b2o376bo$671bobo$671b2o12$301bo$302b
o$300b3o361bo$663bo$663b3o13$309bo$307bobo$308b2o346bo$656bobo$656b2o
12$316bo$317bo$315b3o331bo$648bo$648b3o13$324bo$322bobo$323b2o316bo$641b
obo$641b2o12$331bo$332bo$330b3o301bo$633bo$633b3o13$339bo$337bobo$338b
2o286bo$626bobo$626b2o12$346bo$347bo$345b3o271bo$618bo$618b3o13$354bo
$352bobo$353b2o256bo$611bobo$611b2o12$361bo$362bo$360b3o241bo$603bo$603b
3o13$369bo$367bobo$368b2o226bo$596bobo$596b2o12$376bo$377bo$375b3o211b
o$588bo$588b3o13$384bo$382bobo$383b2o196bo$581bobo$581b2o12$391bo$392b
o$390b3o181bo$573bo$573b3o13$399bo$397bobo$398b2o166bo$566bobo$566b2o
12$406bo$407bo$405b3o151bo$558bo$558b3o$bo153bo$2bo151bo$3o151b3o10$414b
o$412bobo$413b2o136bo$551bobo$551b2o$9bo137bo$7bobo137bobo$8b2o137b2o
9$421bo$422bo$420b3o121bo$543bo$543b3o$16bo123bo$17bo121bo$15b3o121b3o
10$429bo$427bobo$428b2o106bo$536bobo$536b2o$24bo107bo$22bobo107bobo$23b
2o107b2o9$436bo$437bo$435b3o91bo$528bo$528b3o$31bo93bo$32bo91bo$30b3o
91b3o10$444bo$442bobo$443b2o76bo$521bobo$521b2o$39bo77bo$37bobo77bobo
$38b2o77b2o9$451bo$452bo$450b3o61bo$513bo$513b3o$46bo63bo$47bo61bo$45b
3o61b3o10$459bo$457bobo$458b2o46bo$506bobo$506b2o$54bo47bo$52bobo47bo
bo$53b2o47b2o9$466bo$467bo$465b3o31bo$498bo$498b3o$61bo33bo$62bo31bo$
60b3o31b3o2$482bo$481bobo$480b2ob2o$78bo$77bobo$76b2ob2o!

[Timelord Missionary]

Are there any patterns that implement the IEEE-754 standard floating-point arithmetic?

Also, here is a 2G reaction that can be used to cleanly escort a pi-heptomino by 9 cells after 30 generations (shown here after 1 generation):

Code: Select all

x = 155, y = 147, rule = B3/S23
2bo149bo$obo149bobo$b2o149b2o14$9bo135bo$10bo133bo$8b3o133b3o15$17bo119b
o$15bobo119bobo$16b2o119b2o14$24bo105bo$25bo103bo$23b3o103b3o15$32bo89b
o$30bobo89bobo$31b2o89b2o14$39bo75bo$40bo73bo$38b3o73b3o15$47bo59bo$45b
obo59bobo$46b2o59b2o14$54bo45bo$55bo43bo$53b3o43b3o15$62bo29bo$60bobo
29bobo$61b2o29b2o10$77bo$76bobo$75b2ob2o!

I wonder if some sort of engineered spaceship can be made using this. . .

[...]

This is well-documented. See 3c/10 pi wave for more details.
If you are looking for reactions that could make a ship, try seeking out ones that output more gliders than it takes in. That usually is better for logistical stuff, as opposed to downright impossible without some rake that happens to go at either the same speed or a compatible speed in the same vein as Flying wing.

EDIT: There is, in fact, a spaceship that makes blocks that supports a pi heptonimo sequence going at 3c/10 orthagonal called the Pi ship 1. However, the blocks are placed by a puffer that goes at c/2 simplified.

[confocaloid]

[...] EDIT: There is, in fact, a spaceship that makes blocks that supports a pi heptonimo sequence going at 3c/10 orthagonal called the Pi ship 1. However, the blocks are placed by a puffer that goes at c/2 simplified.

Which means it is a "growing spaceship", which is an object that "moves like a spaceship", despite not being a spaceship.

Discovering an actual pi-heptomino-based orthogonal 3c/10 spaceship is an old, and AFAIK open problem.
See also recent posts: viewtopic.php?p=205758#p205758 (and earlier forum posts there)

[hth3]

A self supporting breeder. Picture it as a caterpillar or a water strider but quadratically growing.

[b-engine]

A self supporting breeder. Picture it as a caterpillar or a water strider but quadratically growing.

It's easy to combine the outputs of self-supporting rakes (known as "working partials" or modification of spaceships) to synthesize either rake or guns or puffers. However, a self-supporting breeder that makes self-supporting rakes that make self-supporting spaceships would be too large to run in Golly.

[hth3]

...

rake or guns

Switch engines are easier to synthesize.