Pythagoras Tree

A Fractal with symmetric

$\begin{figure}\begin{center}\BoxedEPSF{Pythagoras_Tree.epsf scaled 601}\end{center}\end{figure}$

and asymmetric

$\begin{figure}\begin{center}\BoxedEPSF{Pythagoras_Tree_Bent.epsf scaled 601}\end{center}\end{figure}$

forms.

References

Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 67-77 and 111-113, 1991.

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