Menger Sponge
 |
A Fractal which is the 3-D analog of the Sierpinski Carpet. Let 
be the numberof filled boxes, 
the length of a side of a hole, and 
the fractional Volume after the 
thiteration.
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
The Capacity Dimension is therefore
 | |  | |
|  | ||
|  | (4) |
J. Mosely is leading an effort to construct a large Menger sponge out of old business cards.
See also Sierpinski Carpet, Tetrix
References
Dickau, R. M. ``Menger (Sierpinski) Sponge.''http://forum.swarthmore.edu/advanced/robertd/sponge.html. Mosely, J. ``Menger's Sponge (Depth 3).'' http://world.std.com/~j9/sponge/.
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