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arxiv: 0905.2671 · v2 · submitted 2009-05-16 · 🧮 math.AT · math.MG

Inscribing a regular crosspolytope

classification 🧮 math.AT math.MG
keywords crosspolytoperegularbodyconvexgeneralizationsinscribeinscribingmathbb
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In this paper we prove that it is possible to inscribe a regular crosspolytope (multidimensional octahedron) into a smooth convex body in $\mathbb R^d$, where $d$ is an odd prime power. Some generalizations of this statement are also proved.

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