Using Origami to Make a Shape with No Volume and Infinite Surface Area

It should surprise no one that MIT has an origami team whose goal is to create a third level version of a 3-D fractal known as a Menger Sponge, whose ultimate incarnation is a shape with zero volume and infinite surface area. Here's how they do it.


Working with business cards and some kids, the team does manage to create an approximation of level three of the fractal, and it looks a lot like some of the architecture on the MIT campus. Because of course it does. Watch this video to learn about the relationship between math and structural beauty — and a bunch of heroic fractal lovers.

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I'm surprised nobody mentioned this before but:

I'm sure with the continued advancement of both 3-D printing and nano-structure materials, they'll be able to make a Menger Sponge (Does one fit this sponge, into their 'menger', or what?) which exists down to the microscopic scale. And maybe turn it into a real sponge?

"The all-new Ultra Sponge! Only ONE sponge for an INFINITE number of household tasks!

(jingle) Byyy *meng*-er...!"