Good memories of my Real Analysis course in undergrad. I'm also a fan of the Devil's Staircase [0], a function that is both continuous everywhere and constant a

Good memories of my Real Analysis course in undergrad. I'm also a fan of the Devil's Staircase [0], a function that is both continuous everywhere and constant almost everywhere, while still managing to climb from 0 to 1. [0]:https://en.wikipedia.org/wiki/Cantor_function https://en.wikipedia.org/wiki/Cantor_function