2006/01/19 by Eric Lewin Altschuler, Altschuler, Eric Lewin, A. Pérez‐Garrido +4 · 1 citation
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Graph theory and applications #Quasicrystal Structures and Properties #Structural Analysis and Optimization #physics.comp-ph
paper · pdf · doi:10.48550/arxiv.physics/0601139
arxiv created 2006/01/19 · openalex publication_date 2006/01/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
Inspired by, and using methods of optimization derived from classical three dimensional electrostatics, we note a novel beautiful symmetric four dimensional polytope we have found with 80 vertices. We also describe how the method used to find this symmetric polytope, and related methods can potentially be used to find good examples for the kissing and packing problems in D dimensions.