  Repeatedly folding a strip of paper in half and unfolding it in straight
angles produces a fractal: the dragon curve. Shallit, van der Poorten and
others showed that the sequence of right and left turns relates to a continued
fraction that is also a simple infinite series. We construct a Mahler function
from two functions of Dilcher and Stolarsky with similar properties. It
produces a predictable irregular continued fraction that admits a regular
continued fraction and a shape resembling the dragon curve. Furthermore, we
discuss numerous variations on this theme.
