Cesàro Fractal

$\begin{figure}\begin{center}\BoxedEPSF{CesaroFractal.epsf scaled 600}\end{center}\end{figure}$

$\begin{figure}\begin{center}\BoxedEPSF{TornSquare.epsf scaled 600}\end{center}\end{figure}$

A Fractal also known as the Torn Square Fractal. The base curves and motifs for the two fractals illustrated above are shown below.

$\begin{figure}\begin{center}\BoxedEPSF{CesaroFractalMotif.epsf scaled 500}\qquad\BoxedEPSF{TornSquareMotif.epsf scaled 500}\end{center}\end{figure}$

References

Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, p. 43, 1991.

Pappas, T. The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, p. 79, 1989.

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