64 lines from a quaternionic polytope
type: Item
instance of: scholarly article
title: 64 lines from a quaternionic polytope
zbMATH Open document ID: 0897.52001
DOI: 10.1023/A:1005009727232
author: Stuart G. Hoggar
published in: Geometriae Dedicata
publication date: 1998-10-11T00:00:00Z
review text: In the Coxeter Festschrift, the author presented two quaternionic 4-polytopes with 64 vertices [\textit{Ch. Davis, B. Gruenbaum} and \textit{F. A. Sherk}, `The geometric vein. The Coxeter Festschrift.' (1982; Zbl 0488.00015)]. In this note he shows that the angle of each pair of vertices of these polytopes, when regarded in complex 8-space, is a constant \(\alpha\) satisfying \(\cos^2\alpha= 1/9\).
Mathematics Subject Classification ID: 52B11
Mathematics Subject Classification ID: 51F15
Mathematics Subject Classification ID: 68R99
Mathematics Subject Classification ID: 51M20
Mathematics Subject Classification ID: 05B30
zbMATH DE Number: 1129447
zbMATH Keywords: quaternion
zbMATH Keywords: polytope
zbMATH Keywords: lines
MaRDI profile type: Publication
full work available at URL: a:1005009727232
OpenAlex ID: W96453002
description: scientific article; zbMATH DE number 1129447