Cantor dust is a two-dimensional fractal figure generated beginning with a square; with each iteration, remove the middle third horizontal and vertical stripe of each square in the figure. (Compare this process with the Sierpinski carpet process.)
The following figure shows the first few stages:
The same process can be carried out in three dimensions:
(Compare this process with the Menger sponge generation process.)
Designed and rendered using Mathematica 2.2 for the Apple Macintosh and (much, much later) 7.0 for Microsoft Windows.
Copyright © 1996–2012 Robert Dickau
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