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arxiv: 1107.4428 · v3 · pith:WWWQ7CGSnew · submitted 2011-07-22 · 🧮 math.CO · math.MG

Inscribing a regular octahedron into polytopes

classification 🧮 math.CO math.MG
keywords octahedronpolytopesregularadmitsinscribedinscribingmathbbnon-simple
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We prove that any simple polytope (and some non-simple polytopes) in $\mathbb R^3$ admits an inscribed regular octahedron.

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