It is well known that the set of origami constructible numbers is larger than the classical straight-edge and compass constructible numbers. However, the Huzita–Justin–Hatori origami constructible numbers remain algebraic so that the transcendental number \(\pi \) can only be approximated using a finite number of straight-line folds. Using these methods we give a convergent sequence for folding \(\pi \) as well as other methods to approximate \(\pi \) . Folding along curved creases, however, allows for the construction of transcendental numbers. We here give a method to construct \(\pi \) exactly by folding along a parabola, and we discuss generalizations for folding other transcendental numbers such as \(\Gamma (1/4)\) .