Tetrahedra are not reduced

DOI10.1016/S0893-9659(02)00057-5zbMath1018.52006MaRDI QIDQ1861812

Horst Martini, Walter Wenzel

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

complete setconvex body of constant widthreduced bodyequifacial tetrahedronisosceles tetrahedron

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Three-dimensional polytopes (52B10) Convex sets in (3) dimensions (including convex surfaces) (52A15) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Hunting for reduced polytopes ⋮ Reduced convex bodies in Euclidean space -- a survey ⋮ Reduced convex bodies in finite dimensional normed spaces: a survey ⋮ On pyramids and reducedness

Cites Work

• Estimates for the minimal width of polytopes inscribed in convex bodies
• Reduced convex bodies in the plane
• Extremal convex sets
• Reduced strictly convex plane figure is of constant width
• On complete convex bodies
• The Fermat-Torricelli point and isosceles tetrahedra
• Simplices with equiareal faces
• On reduced convex bodies
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