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## A Few of My Favorite Spaces: The Menger Sponge

It’s not quite two-dimensional, it’s not quite three-dimensional. Welcome to the weird world of fractal dimension -- Read more on ScientificAmerican.com

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# Related Posts

### A chip off the old fractal block

You can make a fractal by starting with a cube and recursively removing chunks of it. The result is called a Menger sponge. Here’s a picture after four levels of recursion. What would it look like if you sliced this open? If you cut...

### Menger sponge built from Post-It notes

Humor : Kottke.org

Nicholas Rougeux is building an approximation of a Menger sponge, a 3-D fractal shape with no volume and infinite surface area, out of Post-It notes. It looks about 90% complete...but as a Menger sponge, can you ever really call it ...

### A Few of My Favorite Spaces: Space-Filling Curves

Academics / Mathematics : Scientific American: Roots of Unity

Space-filling curves, puzzling maps between dimensions, have surprising real-world applications. -- Read more on ScientificAmerican.com

### Fractal Menger sponge made from Post-Its

Humor : Boing Boing

Nicholas Rougeux made this fabulous Menger sponge fractal out of mini Post-its, which he swears by for erecting fractals: Each Post-It was torn into 16 equal squares, then folded into units and assembled into the sponge. Post-its of...

### The Menger Sponge literally straddles the line between different dimensions [Maths]

Genres / Sci Fi : io9

A particular fractal, called Menger's Sponge, is all about surface appearances. It's a purely theoretical shape that has infinite surface area and no volume whatsoever. And because of that, it doesn't occupy three dimensions. Or two...