Inscribing a regular crosspolytope

Details Inscribing a regular crosspolytope Inscribing a regular crosspolytope

2009-05-16

arxiv.org/abs/0905.2671v2

Mathematics

Algebraic Topology

The reference to Schnirelmann is corrected. The previous results on inscribing are discussed in more detail

Scientific paper

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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