Shapes of Delaunay Simplexes and Structural Analysis of Hard Sphere Packings

DOI10.1007/978-3-540-85126-4_2zbMath1165.52016OpenAlexW1548667689MaRDI QIDQ3628357

N. N. Medvedev, A. V. Anikeenko, Marina L. Gavrilova

Publication date: 20 May 2009

Published in: Generalized Voronoi Diagram: A Geometry-Based Approach to Computational Intelligence (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-85126-4_2

zbMATH Keywords

tetrahedracrystalDelaunay simplexhard sphere packingsquartoctahedra

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (1)

Principal component analysis of persistent homology rank functions with case studies of spatial point patterns, sphere packing and colloids

Cites Work

• Euclidean Voronoi diagram of 3D balls and its computation via tracing edges
• An optimal algorithm for constructing the weighted Voronoi diagram in the plane
• The statistical theory of shape
• Sphere packings. I
• The coloring of the Voronoi network: investigation of structural heterogeneity in the packings of spheres
• A proof of the Kepler conjecture
• An analysis of simplex shape measures for anisotropic meshes
• An efficient algorithm for construction of the power diagram from the voronoi diagram in the plane
• Power Diagrams: Properties, Algorithms and Applications
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