H. Martini, W. Wenzel : Tetrahedra cannot be reduced

Author(s) :

H. Martini, W. Wenzel

Title :

Tetrahedra cannot be reduced

Preprint series

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 2000-11, 2000

Mathematics Subject Classification :

51K05 [ General theory of distance geometry ]

51N10 [ Affine analytic geometry ]

52B10 [ Three-dimensional polytopes ]

Abstract :

A convex body which does not properly contain a convex body with the same minimal width is said to be reduced. We prove that there is no reduced tetrahedron.

Keywords :

body of constant width, complete set, equifacial tetrahedron, reduced body

Language :

english

Publication time :

8/2000