Bodies of constant width in arbitrary dimension | Zendy

LachandRobert† Thomas | Zendy; Oudet Édouard | Zendy

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Bodies of constant width in arbitrary dimension

Author(s) -

LachandRobert† Thomas,

Oudet Édouard

Publication year - 2007

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.200510512

Subject(s) - dimension (graph theory) , constant (computer programming) , mathematics , projection (relational algebra) , mathematical analysis , combinatorics , geometry , algorithm , computer science , programming language

We give a number of characterizations of bodies of constant width in arbitrary dimension. As an application, we describe a way to construct a body of constant width in dimension n , one of its ( n – 1)‐dimensional projection being given. We give a number of examples, like a four‐dimensional body of constant width whose 3D‐projection is the classical Meissner's body. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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