There are several Fractal curves associated with Sierpinski. The above curve is one example, and the
Sierpinski Arrowhead Curve is another. The limit of the curve illustrated above
has Area

The Area for a related curve illustrated by Cundy and Rollett (1989) is

**References**

Cundy, H. and Rollett, A. *Mathematical Models, 3rd ed.* Stradbroke, England: Tarquin Pub., pp. 67-68, 1989.

Dickau, R. M. ``Two-Dimensional L-Systems.'' http://forum.swarthmore.edu/advanced/robertd/lsys2d.html.

Gardner, M. *Penrose Tiles and Trapdoor Ciphers... and the Return of Dr. Matrix, reissue ed.*
New York: W. H. Freeman, p. 34, 1989.

Wagon, S. *Mathematica in Action.* New York: W. H. Freeman, p. 207, 1991.

© 1996-9

1999-05-26