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.

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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.


Contact the author at annalee@gizmodo.com.
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DISCUSSION

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...!"