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BIRS Workshop Lecture Videos

On the spherical projections of convex bodies Myroshnychenko, Sergii


We discuss some properties of spherical projections, and consider the related question regarding their congruency for two convex bodies. In particular, let $P$ and $Q$ be two convex polytopes both contained in the interior of an Euclidean ball $r\textbf{B}^{d}$. We prove that $P=Q$ provided that their spherical projections from any point on the sphere $rS^{d-1}$ are congruent. We also prove an analogous result for a pair of Euclidean balls.

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