Note on packings in Grassmannian space \(G(3,1)\)
type: Item
instance of: scholarly article
title: Note on packings in Grassmannian space \(G(3,1)\)
zbMATH Open document ID: 0911.52011
DOI: 10.1023/A:1019193829804
publication date: 1999-05-04T00:00:00Z
review text: The packings are those of \(2N\) non-overlapping equal circles of the largest diameter on the sphere \(S^2\) with the condition that all circles form antipodal pairs. (In the Tammes problem there is no central symmetry constraint.) In this note some unnoticed putative solutions to this problem are mentioned (particularly those given by \textit{J. H. Conway}, \textit{R. H. Hardin} and \textit{N. J. A. Sloane} [Exp. Math. 5, No. 2, 139-159 (1996; Zbl 0864.51012)]. Also there are remarks on the Danzerian rigidity of the graphs of locally optimal antipodal packings.
Mathematics Subject Classification ID: 52C15
zbMATH DE Number: 1202683
zbMATH Keywords: packing
zbMATH Keywords: central symmetry
zbMATH Keywords: optimal antipodal packings
author: Tibor Tarnai
MaRDI profile type: Publication
full work available at URL: a:1019193829804
OpenAlex ID: W116585051
published in: Journal of Mathematical Chemistry
description: scientific article; zbMATH DE number 1202683