A Fractal which can be constructed using String Rewriting by creating a matrix with 3 times as many entries as the current matrix using the rules

Let be the number of black boxes, the length of a
side of a white box, and the fractional Area of black boxes after the th iteration.

(1) | |||

(2) | |||

(3) |

The Capacity Dimension is therefore

(4) |

**References**

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

© 1996-9

1999-05-26