The Roundest Polyhedra with Symmetry Constraints

Amongst the convex polyhedra with n faces circumscribed about the unit sphere, which has the minimum surface area? This is the isoperimetric problem in discrete geometry which is addressed in this study. The solution of this problem represents the closest approximation of the sphere, i.e., the round...

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Bibliographic Details
Main Authors: András Lengyel, Zsolt Gáspár, Tibor Tarnai
Format: Article
Language:English
Published: MDPI AG 2017-03-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/9/3/41