• RandomStickman
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        9 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
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          259 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.

      • @[email protected]
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        249 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.

      • @[email protected]
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        109 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.

        • @[email protected]
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          29 months ago

          But if you made a regular polygon, with the number of sides approaching infinity, it would work.

      • @AnUnusualRelic
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        59 months ago

        They’re there to askew why the logic doesn’t work.

    • @[email protected]
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      09 months ago

      That approach works for area but not for perimeter, because cutting off the corners gives you a shape whose area is closer to the circle’s, but it doesn’t change the perimeter at all.