[HN Gopher] Square Theory
       ___________________________________________________________________
        
       Square Theory
        
       Author : aaaronson
       Score  : 687 points
       Date   : 2025-05-27 15:33 UTC (1 days ago)
        
 (HTM) web link (aaronson.org)
 (TXT) w3m dump (aaronson.org)
        
       | lisper wrote:
       | Aargh! I hate it when people quote text as images because it
       | makes it impossible to cut and paste.
       | 
       | > Jet black/Jet Blue ... catnap/dognap
       | 
       | My favorite examples are how prepositions can change the meanings
       | of idioms. For example, to be "down for" something and "down
       | with" something mean the same thing, but to be "down on"
       | something means the opposite. (And going down _to_ X means
       | something very, very different from going down _on_ X. That last
       | example is also interesting from a geeky HN point of view because
       | the preposition imposes a type constraint on the binding of X,
       | which is why I had to use  "X" instead of "something" :-)
        
         | robinhouston wrote:
         | > I hate it when people quote text as images because it makes
         | it impossible to cut and paste.
         | 
         | That's much less true than it used to be! I don't know what
         | device you're using, but on my iPhone I can seamlessly copy the
         | text from that image.
        
           | lisper wrote:
           | I'm using Firefox on a Mac.
        
             | layer8 wrote:
             | https://support.mozilla.org/en-US/kb/text-recognition
             | 
             | Doesn't this work?
        
               | lisper wrote:
               | Not for me. No idea why. Maybe this doesn't play well
               | with NoScript or AdBlock.
        
               | layer8 wrote:
               | There's also TextSniper. I'm not a Mac user; Microsoft
               | PowerToys provide that feature on Windows.
        
         | bee_rider wrote:
         | Down for lunch?
         | 
         | Down with lunch!
         | 
         | (Breakfast food is yummier).
        
         | kps wrote:
         | > I hate it when people quote text as images because it makes
         | it impossible to cut and paste.
         | 
         | Yes. In this case the text is in the ALT tag, which would help
         | _if_ browsers exposed it.
        
         | teach wrote:
         | And "down for" something is very nearly synonymous with "up
         | for" something. (:
        
       | keeganpoppen wrote:
       | what a lovely Baader-Meinhof for Ricki Heicklen's delightful
       | "Unparalleled Misalignments", which showed up on HN not too long
       | ago!
        
         | lblume wrote:
         | https://rickiheicklen.com/unparalleled-misalignments.html
        
         | aleph_minus_one wrote:
         | > what a lovely Baader-Meinhof
         | 
         | Which attractive terrorists?
        
           | Aachen wrote:
           | It's a cryptographic mechanism that allows you to see what
           | was there in plain sight the whole time. Merkle-Damgard,
           | Diffie-Hellman, cryptographic mechanisms are often named like
           | this
        
         | kens wrote:
         | The link to the HN discussion, by the way, is:
         | https://news.ycombinator.com/item?id=43891128
        
       | jakupovic wrote:
       | This is pretty cool. I wonder what logic/math describes it?
        
         | BoiledCabbage wrote:
         | While it doesn't fully describe it, his category theory diagram
         | reference seems relevant to me.
         | 
         | The stricter of the squares seem to be a homomorphism. But the
         | "looser" ones which don't "preserve structure" after the
         | transformation but "find a new structure" are some of the more
         | interesting ones.
        
         | AaronAPU wrote:
         | Semantic Bayesian hyper-graphs where each of the percepts have
         | strong correlation between each other.
         | 
         | I'd argue you could bind them tighter by giving the corners
         | strong relationships to each other as well.
         | 
         | We find these sorts of dense correlations pleasing because it's
         | the natural way we discover meaning. Even though in this case
         | the meaning is fairly superficial.
        
       | oliwary wrote:
       | > If you've ever tried to construct a crossword, you'll find that
       | the framing of a crossword grid under square theory feels right.
       | When you're nearing the end of the grid-filling process, finding
       | valid crossings of words to fill that final corner of a grid,
       | there's a satisfying "clicking" feeling--a sense of magic--when
       | it all fits together, analogous to the wrapping-around feeling of
       | completing the square.
       | 
       | If you enjoy this feeling, I think you would like my word game
       | https://spaceword.org. The goal is to arrange 21 letters in a
       | square that is as tight as possible. No one has achieved a
       | "perfect" pattern yet, but people are very close, often leaving
       | only 3 spaces blank!
        
         | JoshTriplett wrote:
         | Do you have a version of spaceword that's not a "daily" game?
         | I'd be interested in trying it if so.
        
           | oliwary wrote:
           | There is a weekly mode with 63 letters, thinking of adding a
           | monthly mode as well. Or would you prefer puzzles that are
           | always open?
        
             | JoshTriplett wrote:
             | Puzzles that are always open is exactly what I mean, yeah.
             | 
             | Some "daily" games call this kind of generated puzzle a
             | "practice" mode. But whenever I encounter a daily game, I
             | go straight for that mode, which is what most games would
             | just present as the game itself.
        
               | oliwary wrote:
               | Fair enough! :) I'll look into adding a practice mode.
        
               | JoshTriplett wrote:
               | Thank you very much! I really appreciate it and look
               | forward to trying it!
        
         | JoshuaDavid wrote:
         | Fun game! Though I dispute that people are "very close" to
         | achieving a perfect pattern.
         | 
         | To get a "perfect" pattern you'd need to find three 7 letter
         | words that can stack on rows adjacent to each other to form a 3
         | letter word in each column. Such arrangements _do_ exist, for
         | example:                   o p e r a t e         a r r o w e d
         | r e s e n d s
         | 
         | but they are very rare - I estimate something on the order of
         | 0.002% of combinations of three 7-letter words have any valid
         | arrangements. Assuming that you're using standard ETAOIN letter
         | frequencies, the typical bag of 21 letters will usually have
         | just a handful of combinations of three 7-letter words so a
         | given puzzle has a << 0.1% chance of having a perfect solution.
         | 
         | But there are 12,000x more ways to rearrange 21 tiles within an
         | 8x3 grid, and the word choices are more forgiving as well (if
         | you draw 7 letters from the etaoin frequency distribution,
         | those 7 letters in order are much more likely to form a 3
         | letter word followed by a 4 letter word than they are to form a
         | 7 letter word). Pretty much every puzzle should have at least
         | some solutions fitting within an 8x3.
         | 
         | Additional note: 3 blank spaces is the best non-perfect
         | arrangement, since the grid is only 10 tiles wide. One blank
         | space could only be achieved by a single 23-letter-long word,
         | and two blank spaces could only be achieved by a 10 letter word
         | next to an 11 letter word, and an 11 letter word would not fit
         | inside the 10x10 grid.
        
           | oliwary wrote:
           | Glad you like it! :) And thank you for your comments, super
           | interesting! Excellent point about the rarity of the perfect
           | arrangement. Perhaps I should throw in a few lettersets that
           | do have a solution, I am intrigued to see if people would
           | discover it.
           | 
           | My other game, https://squareword.org focuses exclusively on
           | perfect 5x5 squares, but here the goal is to uncover it
           | wordle-style rather than arranging it from scratch. There are
           | surprisingly few combinations that have ten unique, common
           | words in a 5x5 letter square!
        
         | isodude wrote:
         | My first initial thought when I saw the game: spaceword golf.
         | 
         | Like any golf, you start with the smallest square possible and
         | increase it with each level. You get less points for how
         | perfect the the square is.
        
         | KolibriFly wrote:
         | Oh wow, Spaceword is hitting that exact same brain-itch as
         | square theory
        
       | kelseyfrog wrote:
       | I'm a big fan of killing time on long drives with friendly word
       | games. One of my favorites is a mix between rhyming and square
       | theory. Here's how it works: one player picks two words that
       | rhyme perfectly. Then, for each of those words, they choose a
       | clue word, usually a synonym, but any kind of related word is
       | fair game. They say those two clue words out loud, and the other
       | players have to guess the original rhyming pair.
       | 
       | What makes it fun is trying to reverse-engineer the original
       | rhyme from the clues. It's like solving a little logic puzzle.
       | It's easy to come up with new puzzles, but cracking them can be
       | surprisingly tricky. Still, the structure gives just enough to
       | keep it solvable most of the time.
       | 
       | 1. Somewhat described here https://bestlifeonline.com/jeopardy-
       | rhyme-time-opera-version... It's actually quite difficult to find
       | a description of the category many of us are already familiar
       | with.
        
         | cooperaustinj wrote:
         | Do you know any unfriendly word games I can try?
        
           | kelseyfrog wrote:
           | You could add the additional constraint that the words have
           | to insult the guesser based on their unique psychological
           | vulnerabilities. Hope that helps!
        
           | stronglikedan wrote:
           | Perhaps give the Argument Clinic a call.
        
             | hypertexthero wrote:
             | FYI https://en.wikipedia.org/wiki/Argument_Clinic
        
           | deadbabe wrote:
           | Freestyle rap battles
        
             | kragen wrote:
             | You're right, that's the canonical unfriendly word game!
        
           | kragen wrote:
           | Posting on HN counts.
        
         | Someone wrote:
         | Reminds me of https://en.wikipedia.org/wiki/Rhyming_slang:
         | _"The construction of rhyming slang involves replacing a common
         | word with a phrase of two or more words, the last of which
         | rhymes with the original word; then, in almost all cases,
         | omitting, from the end of the phrase, the secondary rhyming
         | word (which is thereafter implied)"_
        
           | jamiek88 wrote:
           | Yep, 'that's pony' means 'that's crap'. From pony and trap.
           | You omit the actual word that rhymes.
           | 
           | Nice whistle mate! (I like your suit, from whistle and
           | flute).
           | 
           | It's fun to figure them out.
        
         | finnh wrote:
         | My family calls that game "pink mink"!
        
           | jacobolus wrote:
           | As far as I know the most common name is "hink pink", if
           | anyone wants to look this up (or sometimes "hinky pinky").
           | Here's a 1981 book,
           | https://archive.org/details/hinkpinkbookorwh00burn/ and
           | here's a short description from the 50s, https://archive.org/
           | details/realbookofgames0000unse/page/134... Searching
           | further, apparently _Hink Pink_ was the name of an 18th
           | century pirate ship; I 'm not sure if there's a relation to
           | the game.
           | 
           | According to this 1941 _Life Magazine_ issue, teenage girls
           | in Atlanta were making up rhyming pairs like this at the time
           | under the name  "stinky pinky". https://archive.org/details/L
           | ife-1941-01-27-Vol-10-No-4/mode... Webster's Dictionary from
           | the 60s has the game listed under that name, https://archive.
           | org/details/webstersthirdnew0000phil_l0b1/mo... and that name
           | also seems to continue to today, e.g. by the radio show
           | _Loveline_.
        
             | kelseyfrog wrote:
             | Thank you! What a fantastic find. This is exactly the kind
             | of book I would have checked out at the library as a child.
             | 
             | It's possible I found this decades ago and the origin of
             | how I learned this game was lost to time :)
        
             | staffordrj wrote:
             | I made a daily game version of this
             | https://rystaf.github.io/hinklepinkle/
        
               | sings wrote:
               | Love the idea but today's was not a good one.
        
               | SamBam wrote:
               | Today's was... the same word, spelled once with the US
               | spelling and once with the British spelling?
        
           | jonny_eh wrote:
           | We call it Awful Waffle, based on a Board Game called Brain
           | Strain. They had "Awful Waffle" as an example.
           | 
           | https://boardgamegeek.com/boardgame/8785/brain-strain
           | 
           | I made a proof-of-concept daily game:
           | https://awfulwaffle.jonabrams.com/
        
             | mattclarkdotnet wrote:
             | Is the example meant to rhyme, or is it an example of a
             | subtle category of "words that only rhyme in some English
             | accents"? "Offle Woffle" is somewhat standard American
             | English, while "Orful Warful" would be British English.
        
         | gostsamo wrote:
         | My personal recommendation is this game _1. Not for travel, but
         | a very good in forcing interesting associations and making you
         | mad at your partner, which is a certified sign of a good game.
         | 
         | _ 1 https://boardgamegeek.com/boardgame/178900/codenames
        
           | gms7777 wrote:
           | If you like codenames, you might also enjoy decrypto [1], it
           | scratches a very similar part of my brain. There's a set of
           | secret words, and the codemaster needs to give clues that are
           | specific enough that if you know the secret words, you can
           | make the connection, but vague enough that you can't guess
           | the secret words.
           | 
           | [1] https://boardgamegeek.com/boardgame/225694/decrypto
        
         | vunderba wrote:
         | Our family plays "Match Three" during long drives where one
         | person comes up with three words and whoever correctly answers
         | with a word that can complete or precede any of them becomes
         | "it" and chooses the next set.
         | 
         | Homophones and proper nouns are considered acceptable.
         | 
         | So for example: (Fox, Lone, Crossed)
         | 
         | The answer would be: Star                 Star Fox - a well
         | known rail shooter originally on the SNES            Lone Starr
         | - the only man who would dare give a raspberry to Dark Helmet
         | Star Crossed - a Shakespearean reference to two people whose
         | relationship is doomed
        
           | kelseyfrog wrote:
           | Love it! Does the person who comes up with three words have
           | the connecting word in mind from the beginning, or no?
        
             | vunderba wrote:
             | Thanks yeah it's a very fun game! When you're creating a
             | new "match three" on the fly, I find it's easiest to start
             | with a common word and work your way backwards until you've
             | got three that fit.
             | 
             | There have been occasions where the answer was not the
             | intended one, but it still fits all three and that's
             | considered fair game!
        
         | bdr wrote:
         | Stinky Pinky! https://www.nosupplies.com/play/stinky-pinky
        
         | Agentlien wrote:
         | A few years ago I did something similar in a group chat with
         | some friends. No rhyme, but video game titles reworded using
         | rough synonyms.
         | 
         | Here are some examples with answers in rot13:
         | 
         | Strange, this reunion = Zntvp gur Tngurevat
         | 
         | Boat pork refuge = Nexunz Nflyhz
         | 
         | Donkeybutt taverns gospel = Nffnffvaf Perrq
         | 
         | Caring for the elderly = QBGN
         | 
         | Belongs to me create = Zvarpensg
         | 
         | Superclock = Birejngpu
         | 
         | Top Stories = Ncrk Yrtraqf
         | 
         | Skyline no morning = Ubevmba Mreb Qnja
        
         | KolibriFly wrote:
         | That game sounds like a total brain teaser in the best way
        
       | joshhug wrote:
       | The part about dad joke square theory got me thinking about this
       | classic scarecrow joke, which feels like an example from some
       | higher order version of square theory:
       | 
       | "Why was the scarecrow given an award?"
       | 
       | "He was out standing in his field."
       | 
       | The fact that a scarecrow's job is to be "out standing in his
       | field", and that excelling at one's job can be phrased as being
       | "outstanding in his field" is an incredible linguistic
       | coincidence.
        
         | cdkmoose wrote:
         | Also, My friend accidentally drank a bottle of invisible ink...
         | she's at the hospital now, waiting to be seen.
         | 
         | "Waiting to be seen" having slightly different meaning with
         | respect to hospitals and invisible ink.
        
         | simianparrot wrote:
         | For some reason this old saying popped into my head reading
         | that. I know it's not related but:
         | 
         | Time flies like an arrow. Fruit flies like a banana.
        
           | yojo wrote:
           | My favorite part about that quote is the broken symmetry
           | between the double meaning of the second sentence and the
           | single meaning of the first.
           | 
           | It begs one to consider the possibility of little "time
           | flies" snacking on arrows. Which I guess completes the
           | square?
        
             | anyfoo wrote:
             | Gosh, after all those years I've only just realized the
             | double meaning of "fruit flies". Thanks!
             | 
             | Before that, I just thought it was more of a non sequitur,
             | but still amusing. There was just something inherently
             | funny about imagining a banana hurling through the air in
             | an awkward tumbling motion, right after the sagely abstract
             | concept of time and its elegant arrow metaphor.
        
               | geodel wrote:
               | This is hilarious. I never thought of a flying banana and
               | now I can't un-see it.
        
           | akoboldfrying wrote:
           | "Fruit flies like a banana" is arguably the quintessential
           | example of ambiguity in English grammar. It shows that the
           | grammatical structure of a sentence (which words are nouns,
           | which are verbs, etc.) cannot be reliably recovered even if
           | we know the meaning and possible grammatical categories of
           | every word.
           | 
           | Both ways to parse it are _grammatically_ sound:
           | 
           | (Fruit) (flies) (like a banana)
           | 
           | (Fruit flies) (like) (a banana)
           | 
           | To decide which meaning was likely intended, the listener
           | needs to make a value judgement about the speaker, based on
           | detailed knowledge of the everyday world.
        
             | abhpro wrote:
             | I assume stuff like this is why some languages or script
             | can never be deciphered
        
             | frogulis wrote:
             | Even spoken aloud, there's a natural-sounding stress
             | pattern that is ambiguous. Love it.
        
             | Aachen wrote:
             | Would marking compound words resolve this? As in germanic
             | togetherwriting of things that form one whole, as in
             | English' noun-that-they-modify-preceding adjectives, or as
             | in some other language: _some_ way of signaling this?
        
               | akoboldfrying wrote:
               | It would definitely help with written English, but I
               | can't see it helping with spoken. (Is there some rule in
               | German that disambiguates togetherwritten nouns when
               | spoken?)
        
           | hydrolox wrote:
           | I think this is an example of a Garden Path Sentence[0]
           | 
           | 0. https://en.wikipedia.org/wiki/Garden-
           | path_sentence?wprov=sfl...
        
         | j2kun wrote:
         | The classic, "why did the chicken cross the road" also fits
         | into this genre, but nobody seems to understand that "get to
         | the other side" means "to cross over from life to death." Every
         | time I explain this to someone they are shocked that they never
         | knew this meaning.
        
           | Upvoter33 wrote:
           | That is funny. We finally figured out this double meaning a
           | few years ago and I have been on the same quest since.
        
           | gwd wrote:
           | That's a failure of the joke not to set it up -- one of the
           | "top corners" of the square is missing. Chickens normally
           | don't make an effort to get to the "other side" (as far as
           | we're aware anyway).
           | 
           | To make the square you'd have to do something where the
           | context of "the other side" means past life into death. e.g.,
           | "Why did the spiritualist put his ear towards the road? To
           | hear from the other side."
        
             | jagged-chisel wrote:
             | If you cross the wrong person, they just might send you to
             | the other side.
             | 
             | I don't know how to make the chicken crossing the road use
             | this meaning, but ... well, there it is.
        
           | wavemode wrote:
           | My understanding is that that interpretation is an urban
           | legend.
           | 
           | Wikipedia attributes the joke to an 1847 article, which is
           | phrased in a way that clearly isn't intended to have some
           | deeper meaning: https://en.wikipedia.org/wiki/Why_did_the_chi
           | cken_cross_the_...
        
             | j2kun wrote:
             | TIL, thanks!
        
           | albedoa wrote:
           | > Every time I explain this to someone they are shocked that
           | they never knew this meaning.
           | 
           | You might have taken this as a hint?
        
           | dyauspitr wrote:
           | Seems arbitrary. Why does "get to the other side" mean to
           | cross over from life to death. You're saying it like it's
           | obvious.
        
             | j2kun wrote:
             | It is easy to find references [1]. I always thought it
             | referred to the Greek mythological river Styx, where
             | crossing the river meant going to the underworld.
             | 
             | [1]: https://en.wiktionary.org/wiki/other_side
        
               | dyauspitr wrote:
               | Sure, but it could also be humorous due to how
               | obvious/deadpan the response "to get to the other side"
               | is.
        
         | notfed wrote:
         | Is it a coincidence though? You could have started with the
         | phrase "outstanding in his field", recognize the double
         | entendre, and simply consider whether it's anyone's actual job
         | to "stand in a field". Scarecrow is one of many possibilities.
        
         | thejohnconway wrote:
         | I think the meanings are pretty close though? Not coincidental:
         | to be prominent in an area.
        
         | preciousoo wrote:
         | If you use TikTok, search up "to the untrained ear". You'd love
         | those. Maybe they're on YouTube too
        
         | KolibriFly wrote:
         | Square theory might call it a diagonal overlay
        
         | agos wrote:
         | did you read about the new corduroy pillow? it's been making
         | head lines!
        
         | adammarples wrote:
         | It's pretty straightforward, top left "outstanding", bottom
         | left "out, standing" connected as homonym, and then field on
         | the right also homonyms. Both horizontals are phrases.
        
       | winwang wrote:
       | https://en.wikipedia.org/wiki/Commutative_diagram
        
         | noqc wrote:
         | Commutative diagrams are to these squares what category theory
         | is to analogy.
        
           | gowld wrote:
           | noqc, can you diagram your comment?
        
           | ogogmad wrote:
           | There's a mapping there, however it's not natural.
        
         | Garlef wrote:
         | I think Double Categories [1] would be a more appropriate
         | setting: In a double category, the vertical and horizontal
         | arrows are of different types. In usual commutative diagrams,
         | they are of the same type.
         | 
         | [1]: https://ncatlab.org/nlab/show/double+category
        
         | ogogmad wrote:
         | Why don't some phrases arrive at the same meaning? They don't
         | commute.
        
       | SamBam wrote:
       | This is clever, and I want to spend some more time thinking about
       | it. In a sense, I think this is basically saying that you can put
       | the standard SAT-style analogy questions ("Lumen : Brightness =
       | Inches : Length") in a square, and that most crossword clues
       | could be represented as weird SAT analogies. Or maybe I'm
       | stretching the analogy.
       | 
       | But I think that the "Diagonal" that the author suggests for the
       | connection between "Donkey" and "Elephant" and "Party" isn't
       | quite correct. The key is that both the Donkey and the Elephant
       | are a "Party Animal." You can't ignore the "Animal" part, it
       | describes them: they are each the animal that represents their
       | party, the "party animal."
       | 
       | I'm not sure the correct way to represent this in "Square
       | Theory," but it's not just linking "Party" to the animal in
       | question.
        
       | varjag wrote:
       | Leibnitz once famously said, "Music is the pleasure the human
       | mind experiences from counting without being aware that it is
       | counting". Perhaps solving crosswords is the pleasure mind
       | experiences from doing group theory.
        
         | wttdotm wrote:
         | In "The Man Who Mistook His Wife For A Hat," there's a chapter
         | where Oliver Sacks makes a similar argument about music
         | stemming from the case of two autistic twins who couldn't do
         | arithmetic but played a game with each other where they named
         | increasingly large primes. Basically says that music/harmony is
         | a kind of innate appreciation of the numerical relationship
         | between sounds, much like naming primes is an appreciation of
         | the _lack_ of a numerical relationship between numbers. The
         | experience of a resonance between two different things
         | (frequencies, numbers, and in this blog's case words) can exist
         | extremely strongly outside of the ability to operate on those
         | things in the first place. Interesting read.
        
           | vanderZwan wrote:
           | I've read that music and dancing memory is mainly handled in
           | the cerebellum, which is separate from many other types of
           | memory. This is also theorized to mostly explain why playing
           | familiar music can help "stabilize" people with dementia who
           | otherwise feel lost (funny enough also something Sacks has
           | talked about[0]), because the cerebellum is typically less
           | affected than the neocortex by whatever process is causing
           | the brain to break down.
           | 
           | [0] https://www.youtube.com/watch?v=8HLEr-zP3fc
        
         | KolibriFly wrote:
         | There's something deeply satisfying about making all the pieces
         | fit under a hidden set of rules
        
         | falcor84 wrote:
         | This brings to mind the classic article "Explanation as Orgasm"
         | [0].
         | 
         | [0] https://link.springer.com/article/10.1023/A:1008290415597
        
       | cshimmin wrote:
       | My favorite example, which was an honest translation error from a
       | non-native speaker friend: Hand job (he meant to say manual
       | labor)
        
         | lubujackson wrote:
         | Heard from a non-native speaker watching a missed basket in a
         | basketball game: "Another rim job!"
        
         | zahlman wrote:
         | Something similar once famously happened with a Japanese
         | vtuber: https://www.youtube.com/watch?v=UeQ5K5DQiDI
        
           | emmelaich wrote:
           | To save everyone a click .. it was 'handjob' for
           | 'handwriting'
        
         | keepamovin wrote:
         | I think in Chinese this is literal for hand made (Shou Gong ) -
         | the gong 2nd character can also mean work or job I think - but
         | the sex term of art I guess is different there. Haha
        
         | tclancy wrote:
         | There's a joke in The Jerk that uses this same intentional
         | misunderstanding.
        
         | nojonestownpls wrote:
         | I've also heard people jokingly call manicures handjobs.
        
       | paulddraper wrote:
       | There are a number of comedic sketches based on the linguistic
       | similarity of "booty call" and "butt dial."
        
       | munificent wrote:
       | What a lovely post.
       | 
       | The "Grubhub" square fits some other alternatives: "Grubclub",
       | "Bitesite", or "Eatmeet" (but eww).
        
       | dleeftink wrote:
       | Kind of exciting to see Algirdas Greimas' semiotic square derived
       | from (game) first principles!
       | 
       | [0]: https://en.m.wikipedia.org/wiki/Semiotic_square
        
       | gowld wrote:
       | > However, there's nothing about the square structure that
       | dictates the edges must represent phrases and synonyms.
       | 
       | I got there and thought "Category theory", and, lo, that's the
       | next paragraph.
       | 
       | > Let's talk about Scrabble, one of the seven most important
       | games [link to review of Seven Games book]
       | https://www.nytimes.com/2022/01/25/books/review/seven-games-...
       | 
       | Seven Games was mentioned in another HN discussion last week, by
       | 'danvk talking about his Boggle solution:
       | https://news.ycombinator.com/item?id=44084022
       | 
       | HN hasn't yet taken an interest in that:
       | https://hn.algolia.com/?dateRange=all&page=0&prefix=false&qu...
        
         | rossant wrote:
         | Same. I couldn't help seeing a commutative diagram before he
         | had a chance to say "category theory".
        
       | mellosouls wrote:
       | Nice article! It feels like there should be something AI-
       | zeitgeist-related in there referencing word2vec or similar.
       | 
       | OT: Going by the url, link here on HN and slightly adjacenty vibe
       | I got to the bottom and signature before realizing this wasn't
       | _Shtetl-Optimized_ finally made mobile-friendly.
        
       | jacksnipe wrote:
       | Wordcels discover category theory lol
        
         | pwdisswordfishz wrote:
         | Category theory has always been a wordcel concept.
        
       | bitcurious wrote:
       | I came up with a (lambda? Triangle?) loop a few days ago.
       | 
       | Read until sleepy. Sleep until ready.
        
       | underyx wrote:
       | The author of this post would love the video game Lingo:
       | 
       | https://store.steampowered.com/app/1814170/Lingo/
        
       | astrolx wrote:
       | How can someone hate "etui" so bad !?
        
         | tclancy wrote:
         | Do a million crosswords and find out. Accepting Crosswordese is
         | the process one pays for the hobby.
        
       | RupertEisenhart wrote:
       | Great article, but I can't believe it didn't mention the sator
       | square!
       | 
       | SATOR
       | 
       | AREPO
       | 
       | TENET
       | 
       | OPERA
       | 
       | ROTAS
       | 
       | (Very easy to commit to memory too since most of the letters are
       | right there in the name!)
        
         | scubbo wrote:
         | GNU Terry Pratchett
        
       | zem wrote:
       | one of my favourite english curiosities follows this structure -
       | "outgoing" and "retiring" are both perfect antonyms (enjoying or
       | not enjoying socializing) and perfect synonyms (leaving a
       | political office or job)
        
       | nssnsjsjsjs wrote:
       | Fun read. As they say in New York, Arigato!
        
       | geodel wrote:
       | Huge fun. Besides mixing/matching like this I mix across
       | languages and that give an extra dimension to create such fun
       | phrases.
        
       | akoboldfrying wrote:
       | GrubHub is certainly a good name, but if I came across an app
       | actually named "Food Central-Place" I would have no choice but to
       | install it on the spot. It just has a certain anti-ring to it.
        
         | AStonesThrow wrote:
         | Next time you're in NYC, try searching the web for "Thai Food
         | Near Me"!
         | 
         | https://www.thaifoodnearmenyc.com/
         | 
         | There was a local food-truck operator named "Pho King" and
         | eventually they established a storefront ... well, I see one
         | closed, and another opened up. Formerly known as "Pho King
         | Kitchen" and now there's the "Pho King Eggroll" place.
         | 
         | Fred Armisen did an SNL bit about this, too.
         | 
         | Not far from me, there is a ghost kitchen cluster. It's tucked
         | away in a commercially-zoned neigborhood, and it serves all the
         | food delivery services. Apparently, you can walk in too. I only
         | accidentally patronized them once, when they had some great
         | _larb_ on offer. I think the report says there 's 15 different
         | menus and "virtual kitchens" in the building, just turning out
         | food-to-go.
        
       | ehonsey33 wrote:
       | A matrix is a matrix, namely two triangles reflected about a
       | diagonal. No wonder they are frequently used in computer science
       | and general problem-solving -\\_(tsu)_/-
        
       | noirchen wrote:
       | This reminds me of the so-called "heartless couplet" (Wu Qing Dui
       | ) in Chinese. Every pair of words in the couplets are synonymous
       | or anonymous, and yet the meanings of the couplets are completely
       | unrelated, often in a humorous way.
        
       | andriamanitra wrote:
       | The obvious question to ask is could you take it to the third
       | dimension and make a cube out of double-doubles? What about other
       | shapes, perhaps a pyramid or a tetrahedron? Squares are simple
       | enough that it's still easy to come up with examples, but I think
       | a graph with higher edges-to-vertices ratio would be even more
       | satisfying.
        
       | rlonn wrote:
       | If any good frontend/mobile devs here like crosswords, I need a
       | _good_ frontend for picture crossword designer /generator
       | https://crosswordcomputer.com
        
       | KolibriFly wrote:
       | Definitely gonna be mentally yelling "THAT'S A SQUARE" every time
       | I see a clever pun or a satisfyingly constructed theme from now
       | on
        
       | vanderZwan wrote:
       | > _But here's what I think makes squares special: a square is the
       | simplest polygon that has non-adjacent sides. In a triangle, each
       | side is adjacent to the other two sides. But in a square,
       | opposite sides have no points in common, which makes any
       | connection between them feel surprising, like a coincidence. In
       | pentagons and beyond, this still holds, but the extra sides add
       | complexity that make them feel slightly less elegant.
       | Nevertheless, other shapes can be interesting too, but I see them
       | as the exception, not the rule._
       | 
       | I bet that you could fit the "clever bits" of writing of quite a
       | few literary classics into more complex shapes. Especially when
       | it's the ons that only people who _really_ like literary classics
       | like. Like, say, a story with five main characters who all turn
       | out to be connected in one way like how one might create a five-
       | pointed star with one piece of string and five push-pins, and in
       | a completely different unrelated way like a pentagon made by the
       | same arrangement of push-pins.
        
       | idk1 wrote:
       | This feels a little over blown, but on the other hand, you've got
       | to have an angle and I think this is the right angle.
        
       | Thorrez wrote:
       | Something similar is going on with https://xkcd.com/1645/ . They
       | even both mention platonic solids:
       | 
       | >Platonic solids for my real friends and real solids for my
       | platonic friends!
        
       | mikhailfranco wrote:
       | This is not surprising at all if you know:
       | 
       | 1. Cryptic crosswords (1920s) - the only interesting crosswords.
       | 
       | 2. _" Metaphors We Live By"_ Lakoff & Johnson (1980), or perhaps
       | just _" Roget's Thesaurus"_ (1805) long before that (synonyms,
       | antonyms), and obviously homonyms.
       | 
       | 3. A little bit of Category Theory, but not too much, just the
       | amount that occurs to you after 1 & 2. An alternative entry point
       | might be knowledge graphs (1990s).
        
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