## Menger's Sponge

Menger's sponge (sometimes wrongly
called Sierpinski's Sponge) is a fractal solid that can be described
as follows. Take a cube, divide it into 27 = 3 x 3 x 3 smaller cubes
of the same size and remove the cube in the center and the six cubes
that share faces with it. You are left with the eight small corner
cubes and twelve small edge cubes holding them together. Now, imagine
repeating this process on each of the remaining 20 cubes. Repeat
again. And again ...

Menger's Sponge is named for its inventor, Austrian mathematician
Karl Menger (1902-1985). For more information
about fractals and Menger's Sponge, visit the following web site:

Self Similar Fractals

Fractals - Fractal Dimension

or look for "The Fractal Geometry of Nature" by B. Mandelbrot (W.H.Freeman
1982) in your local bookstore or library.