• tourist@lemmy.world
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    4 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

    • Mirodir@discuss.tchncs.de
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      4 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.

        • Gladaed@feddit.org
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          4 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@lemmy.world
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      4 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