  We will give an elementary nonstandard proof that the family of generalized
blancmange functions are nowhere differentiable. The proof follows from the
intuitive characterization of differentiability at a point as almost $\delta$
affine along with the transfer of the functional equations these functions
satisfy. We also give elementary nonstandard proofs of the uniform density of
these functions among continuous functions. Finally, we discuss work done with
the Python programming language in displaying these functions.
