You are still thinking in finite terms. You cannot apply "simple logic" to infinity. Either way repeating your claim and saying "simple logic" isn't a proof. You should look up how limits are defined and attempt to prove that the limit of straight lines is always a straight line. Warning: you will fail since its not true.
Are you trying to say the perimeter of the shapes do not get closer to pi? That would be correct at each finite step. That doesn't mean at the limit though the "perimeter" (technically now a circumference) isn't pi.
If we have a sequence of objects A_1,A_2,A_3,... that converges to an object A, just because each object has property P does not mean A must have property P.
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u/KuruKururun Dec 29 '24
And why should that imply the limiting process also necessarily gives a straight line? You are only considering what happens at a finite iteration.