Polytopes of minimal volume with respect to a shell -- another characterization of the octahedron and the icosahedron

DOI10.1007/S00454-007-1335-6zbMATH Open1139.52006OpenAlexW2092853349MaRDI QIDQ2464358

Károly jun. Böröczky, K. Böröczky

Publication date: 19 December 2007

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

Full work available at URL: https://doi.org/10.1007/s00454-007-1335-6

zbMATH Keywords

extreme pointsminimal volumeminimal surface area

Mathematics Subject Classification ID

Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (2)

Isoperimetric problems for polytopes with a given number of vertices ⋮ Regular polyhedra and Hajós polyhedra

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