Hironaka's Curve

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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.

Contributed by: Robert Dickau (June 2016)
Open content licensed under CC BY-NC-SA




[1] G. A. Edgar, Measure, Topology, and Fractal Geometry, New York: Springer-Verlag, 1990 pp. 203–204.

[2] R. Dickau. "Hironaka's Curve." (Jun 3, 2016) robertdickau.com/hironaka.html.

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