Spherical distribution of 5 points with maximal distance sum
type: Item
instance of: scholarly article
title: Spherical distribution of 5 points with maximal distance sum
zbMATH Open document ID: 1218.52017
author: Xiaorong Hou
author: Junwei Shao
published in: Discrete \& Computational Geometry
publication date: 2011-06-10T00:00:00Z
review text: The paper shows that on a sphere, the sum of distances among 5 points is (uniquely) maximized, if two points are placed at antipodal ``poles'' and the remaining three are placed equidistantly on the ``equator''. The proof is computer assisted and is based on interval analysis. It is worth noting that this configuration is also known as a spherical 1-design [\textit{R. H. Hardin} and \textit{N. J. A. Sloane}, Spherical designs, \url{http://www2.research.att.com/~njas/sphdesigns/}].
reviewed by: László A. Székely
Mathematics Subject Classification ID: 52C15
Mathematics Subject Classification ID: 52C10
zbMATH DE Number: 5906695
zbMATH Keywords: spherical distribution
zbMATH Keywords: interval analysis
zbMATH Keywords: computer-assisted proof
zbMATH Keywords: spherical 1-design
MaRDI profile type: Publication
full work available at URL: s00454-010-9307-7
OpenAlex ID: W1968794909
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DOI: 10.1007/S00454-010-9307-7
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description: scientific article; zbMATH DE number 5906695