We consider a parameterized family of continuous functions, which contains as its members Bourbaki's and Perkins's nowhere differentiable functions as well as the Cantor-Lebesgue singular functions.
"A remark on continuous, nowhere differentiable functions." Proc. Japan Acad. Ser. A Math. Sci. 81 (3) 47 - 50, March 2005. https://doi.org/10.3792/pjaa.81.47