actually a very good exercise to understand why this argument doesn’t work. you’ll learn something about the nature of continuity and what it really means to repeat a process infinitely many times
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hm interesting, yea
we can see from the first few egs that "removing corners" doesn't reduce the perimeter, meaning it's basically still the "same 4 lines". and if you repeat that infinitely you still never actually get "to" the circle
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right; when you repeat infinitely, for every positive integer n you can say what the shape looks like after n steps. you don’t automatically get from here a notion of what the shape looks like “after infinitely many steps”; that requires a notion of limit of a sequence of shapes
This is a good example of what we discovered with map boundaries and fractals right?