Re: [math-fun] Platonic regular polyhedra with integer vertices ?
I was just reading about zonotopes & minkowski sums. If I understand correctly, all zonotopes are minkowski sums ? Is there an algorithm to produce such a minkowski sum, given the zonotope? (Or, in the case of a projection of an n-cube, express it as a minkowski sum?) At 01:29 PM 5/31/2013, Victor Miller wrote:
A projection of an n-cube is known as a zonotope. Here's a short paper by Fukuda who gives bounds about faces, etc. of a zonotope: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.14.1132
Victor
Duh! Most of what I wanted was in the referenced paper. At 01:45 PM 5/31/2013, Henry Baker wrote:
I was just reading about zonotopes & minkowski sums.
If I understand correctly, all zonotopes are minkowski sums ?
Is there an algorithm to produce such a minkowski sum, given the zonotope?
(Or, in the case of a projection of an n-cube, express it as a minkowski sum?)
At 01:29 PM 5/31/2013, Victor Miller wrote:
A projection of an n-cube is known as a zonotope. Here's a short paper by Fukuda who gives bounds about faces, etc. of a zonotope: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.14.1132
Victor
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Henry Baker