2009/10/27 by Thomas Hales, Sean McLaughlin · 1 citation
Mathematics · Physics and Astronomy · Engineering · #Mathematics and Applications #Advanced Mathematical Theories and Applications #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Dodecahedron #Mathematics #Polyhedron #Conjecture #RADIUS #Voronoi diagram #Unit (ring theory) #Combinatorics #Volume (thermodynamics) #Unit sphere #Mixed volume #Geometry #Regular polygon #Convex body #Physics #Computer science #Mathematics education
paper · doi:10.1090/s0894-0347-09-00647-x
openalex publication_date 2009/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11
This article gives a summary of a proof of Fejes Tóth’s dodecahedral conjecture: the volume of a Voronoi polyhedron in a three-dimensional packing of balls of unit radius is at least the volume of a regular dodecahedron of unit inradius.