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

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