Lévy Fractal

$\begin{figure}\begin{center}\BoxedEPSF{Levy_Fractal.epsf scaled 700}\end{center}\end{figure}$

A Fractal curve, also called the C-Curve (Beeler et al. 1972, Item 135). The base curve and motif are illustrated below.

$\begin{figure}\begin{center}\BoxedEPSF{LevyFractalMotif.epsf scaled 690}\end{center}\end{figure}$

References

Beeler, M.; Gosper, R. W.; and Schroeppel, R. HAKMEM. Cambridge, MA: MIT Artificial Intelligence Laboratory, Memo AIM-239, Feb. 1972.

Dixon, R. Mathographics. New York: Dover, pp. 182-183, 1991.

Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 45-48, 1991.

Weisstein, E. W. ``Fractals.'' Mathematica notebook Fractal.m.