Bodies of constant width in arbitrary dimension
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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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