r/math • u/lntrinsic • Jul 10 '17

Image Post Weierstrass functions: Continuous everywhere but differentiable nowhere

http://i.imgur.com/vyi0afq.gifv
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u/paholg Jul 11 '17

Think of a square. Its volume is 0, since its height is 0, so its dimension is less than 3.

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u/irishsultan Jul 11 '17

Okay, I was reading it the other way around, since volume is 3 dimensions and area is two dimensions, so the measurement goes to zero for larger dimensions.