Concepts Related to Constant Width

Horst Martini (), Luis Montejano and Déborah Oliveros
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Horst Martini: Chemnitz University of Technology, Faculty of Mathematics
Luis Montejano: Universidad Nacional Autónoma de México, Campus Juriquilla, Instituto de Matemáticas
Déborah Oliveros: Universidad Nacional Autónoma de México, Campus Juriquilla, Instituto de Matemáticas

Chapter Chapter 17 in Bodies of Constant Width, 2019, pp 399-424 from Springer

Abstract: Abstract A polytope P is circumscribed about a convex body $$\phi \subset \mathbb {E}^n$$ if $$\phi \subset P$$ and each facet of P intersects $$\phi $$ ; i.e., every facet of P is contained in a support hyperplane of $$\phi $$ . A polytope P is inscribed in the convex body $$\phi $$ if $$P\subset \phi $$ and each of its vertices belongs to $${{\,\mathrm{\mathrm {bd}}\,}}\phi $$ .

Date: 2019
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DOI: 10.1007/978-3-030-03868-7_17

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