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.
See also Cantor Dust, Sierpinski Carpet, Sierpinski Sieve
Weisstein, E. W. ``Fractals.'' Mathematica notebook Fractal.m.