• hansolo@lemmy.today
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      5 hours ago

      …and a square has four interior 90 degree angles.

      …and based on the infinite number of sides for a curved line aspect, the “90 degree” angles would all be +/- the limit as it approaches zero, so never truly 90 degrees but always an infinite fraction away.

      • Caveman@lemmy.world
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        4 hours ago

        Yeah, we gonna need more rigor on this one.

        “A square is a shape made up of four equally long lines a, b, c, d where a is perpendicular to c and d and parallel to b. Each of these lines meet exactly two other lines at it’s ends.”

        I’m not a mathematician so there might an odd case somewhere in there. Maybe it has to be confined to a shared plane?

        • Sneezycat@sopuli.xyz
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          2 hours ago

          Lines are infinitely long… do you mean line segments?

          Wikipedia has a good enough definition: “It has four straight sides of equal length and four equal angles.” Nice and simple.

        • hansolo@lemmy.today
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          2 hours ago

          So you’re saying this is the outline of a square in the astral plane? Because it sounds like you’re saying this is a square in the astral plane.

      • YiddishMcSquidish@lemmy.today
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        7 hours ago

        If it is a projection, then there are more than two curved sides, which also begs credence to the interpretability of the angles they intersect.

        • danhab99@programming.dev
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          7 hours ago

          Well angles between 3 points are always going to be angles. If your choose a different configuration of dimensional parameters you can effectively project a square from the 2D plane into this exact shape, then logically the angles would follow.