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Federico Ardila on Math, Music and the Space of Possibilities

The Joy of x

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How to Visualize a Zeolite Gemstone

Mathematically, the molecule zeolite is exactly the shape made by the 24 permutations of a deck of four cards in three dimensional space. Mathematically, he likes to think about that by visualizing it with one axis for each card. So now he's got this wild four dimensional space, and then each permutation is a dot in that space. He kind of thinks of those dots almost like the corners of a crystal, like the sharp, pointy corners in a gem. And so when you do that, you end up making a shape that looks exactly like the crystal structure azealite. Even though they'rein tour dimensional days, they make a hexilon.

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