The intrinsic diameter of the surface of a parallelepiped

DOI10.1007/s00454-007-9037-7zbMath1165.52004OpenAlexW2089849492MaRDI QIDQ1006389

Yurii Gennadyevich Nikonorov, Yulia V. Nikonorova

Publication date: 24 March 2009

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-007-9037-7

zbMATH Keywords

surface areaconvex surfacerectangular parallelepipedintrinsic distanceintrinsic diameter

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (4)

Geodesics on the regular tetrahedron and the cube ⋮ Alexandrov's isodiametric conjecture and the cut locus of a surface ⋮ Farthest points on flat surfaces ⋮ Antipodal Points and Diameter of a Sphere

Cites Work

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• On the geodesic diameter of convex surfaces
• Farthest points on convex surfaces
• On two conjectures of Steinhaus
• Farthest points and cut loci on some degenerate convex surfaces
• Star Unfolding of a Polytope with Applications
• Extreme points of the distance function on convex surfaces

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