Box Fractal
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 aside of a white box, and 
the fractional Area of black boxes after the 
th iteration.
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
The Capacity Dimension is therefore
 | |  | |
|  | (4) |
See also Cantor Dust, Sierpinski Carpet, Sierpinski Sieve
References
Weisstein, E. W. ``Fractals.'' Mathematica notebook Fractal.m.
- Modified Bessel Function of the First Kind
- Modified Bessel Function of the Second Kind
- Modified Spherical Bessel Differential Equation
- Modified Spherical Bessel Function
- Modified Struve Function
- Modular Angle
- Modular Equation
- Modular Form
- Modular Function
- Modular Function Multiplier
- Modular Gamma Function
- Modular Group
- Modular Lambda Function
- Modular Lattice
- Modular System
- Modular System Basis
- Modular Transformation
- Modulation Theorem
- Module
- Modulo
- Modulo Multiplication Group
- Modulus (Complex Number)
- Modulus (Congruence)
- Modulus (Elliptic Integral)
- Modulus (Quadratic Invariants)