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Re:Calculus Is Deeply Irrational by ska on Tuesday August 20, 2019 @04:30PM (#20751742)
You might also like the Cantor function, which is also known as "The Devils Staircase"

It is similarly used as an example, for a function that is continuous but not absolutely continuous.

cfL https://en.wikipedia.org/wiki/Cantor_function

Re:Calculus Is Deeply Irrational by lanstin on Tuesday August 20, 2019 @05:34PM (#20752454)
If you like these sorts of things, there is a slim tome called "Counterexamples in Topology" which is very long list of similar weird things.