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The Permutahedron

The Permutahedron

This is the 4-permutahedron. It's a geometric representation of the ways to rearrange the numbers 1,2,3,4.

Two permutations are connected by an edge if one can be transformed into the other by swapping two consecutive numbers.

And this is just for 4 numbers, I wonder what the 100-permutahedron would look like?

Content written and posted by Ken Abbott