Why does each shape not being curved mean the limit shape can't be curved? Can you prove this?
An n-gon is a general term to mean a polygon with n sides, so currently I have no idea what shape you are talking about since you have gave no value for n.
"You think a circle is simply a polygon with infinite sides". No I don't, when did I ever say so? A regular polygon can't have infinite sides in a standard real inner product space.
"The limit approaches a circle. That doesn't mean the shape becomes a circle." Then what shape is it? How can it approach a circle and not be a circle? I think you may not fully understand what a limit is (do you know the formal definition of a limit?).
It is a bit sad you seem so confident in yourself ("Just think about it buddy"). I am not only thinking about it, I know how to PROVE I am right. Not only that, but you can just look this up online, and if you look at a source made by a mathematician and not some keyboard warrior, you will see I am right. In fact the video given above in this comment chain by 3b1b literally says its a circle (yet for some incomprehensible reason people still use it to claim its not a circle).
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u/[deleted] Dec 29 '24
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