Star Fractal

$\begin{figure}\begin{center}\BoxedEPSF{StarFractal.epsf scaled 800}\end{center}\end{figure}$

A Fractal composed of repeated copies of a Pentagram or other polygon.

$\begin{figure}\begin{center}\BoxedEPSF{StarFractal2.epsf scaled 800}\end{center}\end{figure}$

The above figure shows a generalization to different offsets from the center.

References

Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 72-77, 1991.

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