Verification of polytopes by brightness functions

Schneider, Rolf

doi:10.1090/S0002-9939-09-10041-2

Verification of polytopes by brightness functions
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by Rolf Schneider

Proc. Amer. Math. Soc. 137 (2009), 3899-3903

DOI: https://doi.org/10.1090/S0002-9939-09-10041-2

Published electronically: June 25, 2009

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Abstract:

We show that in the class of origin-centered convex bodies in Euclidean space of dimension at least three, a polytope is uniquely determined by its brigthness function in a suitably chosen, but very small set of directions.

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