Some more n‐dimensional geometry†

DOI10.1080/0020739940250208zbMath0803.52009OpenAlexW1999743784MaRDI QIDQ4299940

Mark J. Kaiser

Publication date: 2 January 1995

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020739940250208

zbMATH Keywords

volumedualityconvex polytopeconvex bodysimplexcubepolar bodySantalo point

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Polyhedra and polytopes; regular figures, division of spaces (51M20) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Length, area and volume in real or complex geometry (51M25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

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• A geometric inequality and the complexity of computing volume
• Computing the volume is difficult
• New volume ratio properties for convex symmetric bodies in \({\mathbb{R}}^ n\)
• Geominimal surface area
• Polar reciprocal convex bodies
• On the Complexity of Computing the Volume of a Polyhedron
• A random polynomial-time algorithm for approximating the volume of convex bodies
• Somen‐dimensional geometry
• Convexity

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