Counterexamples related to rotations of shadows of convex bodies

M. Angeles Alfonseca, M. Cordier

Type: Article

Publication Date: 2017-01-01

Citations: 1

DOI: https://doi.org/10.1512/iumj.2017.66.6001

Abstract

We construct examples of two convex bodies K, L in R n , such that every projection of K onto a (n -1)-dimensional subspace can be rotated to be contained in the corresponding projection of L, but K itself cannot be rotated to be contained in L.

Locations

Indiana University Mathematics Journal - View
arXiv (Cornell University) - View - PDF

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