Bodies of constant width in arbitrary dimension

Thomas Lachand-Robert (1) , Edouard Oudet (1, 2)

1 LAMA - Laboratoire de Mathématiques
2 Département de mathématiques

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.

Domaines: Equations aux dérivées partielles [math.AP]

Thomas Lachand-Robert, Edouard Oudet. Bodies of constant width in arbitrary dimension. Mathematical News / Mathematische Nachrichten, 2007, 280 (7), pp.740--750. ⟨hal-00385113⟩