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arXiv · 2110.05996

Intersection Bodies of Polytopes

Katalin Berlow·Marie-Charlotte Brandenburg·Chiara Meroni·Isabelle Shankar
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Abstract

We investigate the intersection body of a convex polytope using tools from combinatorics and real algebraic geometry. In particular, we show that the intersection body of a polytope is always a semialgebraic set and provide an algorithm for its computation. Moreover, we compute the irreducible components of the algebraic boundary and provide an upper bound for the degree of these components.

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Katalin Berlow, Marie-Charlotte Brandenburg, Chiara Meroni, Isabelle Shankar. 2021-10-12. Intersection Bodies of Polytopes. https://doi.org/10.1007/s13366-022-00621-7

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