Volumetric Discrete Geometry

DOI10.1201/9780429274572zbMath1425.52001OpenAlexW2955983764MaRDI QIDQ3119430

Zsolt Lángi, Károly Bezdek

Publication date: 11 March 2019

Full work available at URL: https://doi.org/10.1201/9780429274572

zbMATH Keywords

volumepackingsconvex hullconvex bodydiscrete geometrydiscrete isoperimetric inequalitiescontact numbersKneser-Poulsen conjectureHadwiger numbers\((m,d)\)-scrimed polytopesseparable packingsvolumetric geometry

Mathematics Subject Classification ID

Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Polyhedra and polytopes; regular figures, division of spaces (51M20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Isoperimetric problems for polytopes (52B60) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Inequalities and extremum problems in real or complex geometry (51M16) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items (2)

Extremal arrangements of points in the sphere for weighted cone-volume functionals ⋮ Cross-section measures, radii, and Radon curves

This page was built for publication: Volumetric Discrete Geometry