  In this paper, we give a singular function on a unit interval derived from
the dynamic of the one-dimensional elementary cellular automaton Rule 150. We
describe properties of the resulting function, that is strictly increasing,
uniformly continuous, and differentiable almost everywhere, and we show that it
is not differentiable at dyadic rational points. We also give functional
equations that the function satisfies, and show that the function is the only
solution of the functional ones.
