Antipodes sur un tétraèdre régulier. (Antipodes on a regular tetrahedron.)
type: Item
instance of: scholarly article
title: Antipodes sur un tétraèdre régulier. (Antipodes on a regular tetrahedron.)
zbMATH Open document ID: 1032.52004
author: Joël Rouyer
published in: Journal of Geometry
publication date: 2003-09-16T00:00:00Z
review text: The goal of this article is to compute antipodes on a regular tetrahedron endowed with its intrinsic metric. The author presents in a first part some elementary results for intrinsic geometry of convex polyhedron. In a second part, he computes antipodes on a regular tetrahedron. In the last part, he gives the diameter and the intrinsic range of a regular tetrahedron.
reviewed by: L. Vuillon
Mathematics Subject Classification ID: 52B55
Mathematics Subject Classification ID: 51N20
Mathematics Subject Classification ID: 51N05
Mathematics Subject Classification ID: 51M04
Mathematics Subject Classification ID: 52B10
zbMATH DE Number: 1982551
zbMATH Keywords: regular tetrahedron
zbMATH Keywords: antipodes
zbMATH Keywords: geodesics
zbMATH Keywords: diameter
zbMATH Keywords: intrinsic range
MaRDI profile type: Publication
full work available at URL: s00022-003-1617-y
OpenAlex ID: W2001603190
DOI: 10.1007/S00022-003-1617-Y
description: scientific article; zbMATH DE number 1982551