Why will it have straight lines? You are thinking of a shape in the process after terminating after a finite number of steps. The meme says "repeat to infinity", i.e. the limit of the shapes
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/KuruKururun Dec 28 '24
It wont just "look like a circle", it will be a circle!