• RandomStickman@kbin.run
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      2 年前

      I think it’s because no matter how many corners you cut it’s still an approximation of the circumference area. There’s just an infinite amount of corners that sticks out

      • marcos@lemmy.world
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        2 年前

        There’s just an infinite amount of corners that sticks out

        Yes. And that means that it is not an approximation of the circumference.

        But it approximates the area of the circle.

    • Zerush@lemmy.ml
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      2 年前

      It’s a fractal problem, even if you repeat the cutting until infinite, there are still a roughness with little triangles which you must add to Pi, there are no difference between image 4 and 5, the triangles are still there, smaller but more. But it’s a nice illusion.

    • ArmokGoB@lemmy.dbzer0.com
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      2 年前

      Because you never make a circle. You just make a polygon with a perimeter of four and an infinite number of sides as the number of sides approaches infinity.