Menger Sponge

At work, Wendy and I have been talking about the Cantor set, and a related 3D doohicky called the Menger sponge. It’s easiest to describe a Menger sponge by showing the iterative process which creates one:

Menger Sponge

In the limit, a Menger sponge has infinite surface area, but zero volume. Neat!


1 Response to “Menger Sponge”

  1. 1 Dave February 4, 2007 at 6:30 pm

    I just got linked here from a search “surface area menger sponge.” Zero and infinite, pretty cool. Try checking out the Mandelbrot set if you haven’t already, it’s another neat mathematical oddity.

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