• @aggelalex
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    453 months ago

    Believe it or not, there are shapes for which this isn’t possible, like most letters of the Latin alphabet

      • @aggelalex
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        83 months ago

        Only if the letters have thickness. If they are just 2 dimensional lines (which is the minimal information to construct a letter), you’ll have to shrink it to infinity into a single point.

    • @tourist
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      133 months ago

      I’m confused

      Surely if you can make something smaller, you could make it fit inside anything bigger than it?

      Or do I not have the assumptions down?

      Do the lines count as “borders”?

      So Like Q,R,O,A etc. have “holes” but Z, X, I, L etc are just lines with no enclosure

      That would make sense

      I thought maybe the rules were if you spray paint a huge L on the wall you could draw a little L on it with chalk when it dries

      Sorry , just thinking out loud

      • @[email protected]
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        fedilink
        283 months ago

        Assuming we shrink all spacial dimensions equally: With Z, the diagonal will also shrink so that the two horizontal lines would be closer together and then you could not fit them into the original horizontal lines anymore. Only once you shrink the Z far enough that it would fit within the line-width could you fit it into itself again. X I and L all work at any arbitrary amount of shrinking though.

        • @[email protected]
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          143 months ago

          T, V, Y can be shrunk by any amount and still fit aswell! Possibly even K depending on the font.

          • @[email protected]
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            93 months ago

            Each Geometrie in which a Single point can see each other point works. Every other geometry has at least 1 point which violates this.

      • @MHanak
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        3 months ago

        Basically any convex shape has a big/small size configuration in which one doesn’t fit in another

        Or in other words: if you can’t draw a line between the center and the edge that intersects with another edge, the shape is guaranteed to fit a smaller version of itself

    • @[email protected]
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      fedilink
      33 months ago

      I, K, L, T, V, X, Y are all the one’s I think (with I and K depending on how you write them).

  • @Buddahriffic
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    103 months ago

    Another fun fact: the pictured orientation of that smaller version of Africa is the only one that you can use to produce that picture.

    • @Gonzako
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      23 months ago

      depending on how much leeway you have no? you’d turn it a few degrees as long as you have enough space to

  • @robocall
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    83 months ago

    Please spread the word, and together we can stop this!

    • @Viking_Hippie
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      3 months ago

      And you really should stick to those, like you used to. None of that waterfall chasing folly.

        • @Viking_Hippie
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          43 months ago

          I have nothing against waterfalls! I just realize that chasing them is both no challenge at all (since they tend to stay in place) and extremely challenging to do unscathed 🤷

          • Flying SquidM
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            43 months ago

            Look… I know you’re gonna have it your way or nothing at all, but I think you’re moving too fast.

            • @Viking_Hippie
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              23 months ago

              That’s what I said to the guy sprinting headlong towards Victoria Falls!

      • @Jf2540
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        23 months ago

        Love the use of those lyrics here.