Repeated angles in \(E_ 4\)
type: Item
instance of: scholarly article
title: Repeated angles in \(E_ 4\)
zbMATH Open document ID: 0629.52014
DOI: 10.1007/BF02187897
published in: Discrete \& Computational Geometry
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/131036
review text: The maximum number \(f_ 4(n,\alpha)\) of occurences of the angle \(\alpha\) determined by a set of n points in the euclidean 4-space is searched. The author proves that \(f_ 4(n,\alpha)=o(n^ 3)\) if \(\alpha\neq \pi /2\), \(f_ 4(n,\pi /2)\geq [n/3]^ 3.\) [Cf. \textit{J. H. Conway}, \textit{H. T. Croft}, \textit{P. Erdős} and \textit{M. J. T. Guy}, J. Lond. Math. Soc., II. Ser. 19, 137-143 (1979; Zbl 0414.05006).]
Mathematics Subject Classification ID: 52A37
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 05A20
zbMATH DE Number: 4024177
zbMATH Keywords: points in four-dimensional Euclidean space
zbMATH Keywords: angle
Wikidata QID: Q56506082
author: George B. Purdy
reviewed by: Ernest Jucovič
MaRDI profile type: Publication
cites work: On the Distribution of Values of Angles Determined by Coplanar Points
cites work: On extremal problems of graphs and generalized graphs
DBLP publication ID: journals/dcg/Purdy88
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description: scientific article; zbMATH DE number 4024177