• RandomStickman@kbin.run
      link
      fedilink
      arrow-up
      33
      ·
      edit-2
      8 months ago

      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
        link
        fedilink
        English
        arrow-up
        25
        ·
        8 months ago

        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
      link
      fedilink
      English
      arrow-up
      23
      ·
      8 months ago

      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.

    • Armok: God of Blood@lemmy.dbzer0.com
      link
      fedilink
      English
      arrow-up
      10
      ·
      8 months ago

      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.