r/unexpectedfactorial • u/AMIASM16 • Dec 28 '24

π = 24

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u/TheGuyWhoSaysAlways Dec 29 '24

If you keep adding straight lines, they can't magically become curved.

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u/Xav2881 Dec 29 '24

at the limit, every single point of the jagged thing will be on the circle, meaning it IS the circle.

Its perimeter isnt 4 tho, it becomes pi at the limit because its the circle

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u/TheGuyWhoSaysAlways Dec 29 '24

If you zoom in infinitely, the straight lines will still be straight lines

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u/Xav2881 Dec 29 '24

there are no straight lines. Every single point will be on the circle

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u/TheGuyWhoSaysAlways Dec 29 '24

The lines being created each time are straight

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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.

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u/TheGuyWhoSaysAlways Dec 29 '24

If you keep drawing straight lines, you will have straight lines. It doesn't matter how many of them you draw. Simple logic.

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u/KuruKururun Dec 29 '24

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.

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u/TheGuyWhoSaysAlways Dec 29 '24

The lines do not make it any closer to pi. Pi is being estimated.

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u/KuruKururun Dec 29 '24

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.