Cantor Dust
A Fractal which can be constructed using String Rewriting by creating a matrix three times the size ofthe 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 ofblack boxes after the 
th iteration.
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
The Capacity Dimension is therefore
 | |  | |
|  | (4) |
See also Box Fractal, Sierpinski Carpet, Sierpinski Sieve
References
Dickau, R. M. ``Cantor Dust.''http://forum.swarthmore.edu/advanced/robertd/cantor.html. Ott, E. Chaos in Dynamical Systems. New York: Cambridge University Press, pp. 103-104, 1993.
Weisstein, E. W. ``Fractals.'' Mathematica notebook Fractal.m.
- q-Binomial Theorem
- q-Cosine
- q-Derivative
- q-Dimension
- Q.E.D
- q-Extension
- q-Factorial
- Q-Function
- q-Gamma Function
- q-Generalization
- q-Hypergeometric Series
- Q-Matrix
- Q-Number
- q-Pi
- Q-Polynomial
- q-Product
- QR Decomposition
- q-Series
- Q-Signature
- q-Sine
- Quadrable
- Quadrangle
- Quadrant
- Quadratfrei
- Quadratic Congruence