This reminds me of the Devil's Staircase [0], a continuous function that is flat almost everywhere and yet still spans the range [0,1]. [0] https://en.wikipedi

This reminds me of the Devil's Staircase [0], a continuous function that is flat almost everywhere and yet still spans the range [0,1]. [0] https://en.wikipedia.org/wiki/Cantor_function https://en.wikipedia.org/wiki/Cantor_function