Hironaka's curve (sometimes called Hironaka's M-curve) is a fractal generated by starting with two line segments, and repeatedly scaling and translating the resulting figure. This Demonstration shows the first several approximations.
 G. A. Edgar, Measure, Topology, and Fractal Geometry, New York: Springer-Verlag, 1990 pp. 203–204.
 R. Dickau. "Hironaka's Curve." (Jun 3, 2016) robertdickau.com/hironaka.html.