A Fractal derived from the Koch Snowflake. The base curve and motif for the fractal are illustrated below.

The Area after the th iteration is

where is the area of the original Equilateral Triangle, so from the derivation for the Koch Snowflake,

**References**

Cundy, H. and Rollett, A. *Mathematical Models, 3rd ed.* Stradbroke, England: Tarquin Pub., pp. 66-67, 1989.

Lauwerier, H. *Fractals: Endlessly Repeated Geometric Figures.* Princeton, NJ: Princeton
University Press, pp. 36-37, 1991.

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

© 1996-9

1999-05-26