On antipodes on a convex polyhedron II-Reference-Cited by-同舟云学术

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On antipodes on a convex polyhedron II

Published:2010-04-13 Issue:3 Volume:10 Page:403-417
ISSN:1615-7168
Container-title:advg
language:en
Short-container-title:

Author:

Rouyer Joël¹

Affiliation:

1. 16 rue Philippe, 68220 Hegenheim, France. Email:

Abstract

Abstract We give several results concerning the notion of antipodes (i.e., farthest points) on the surface of a polyhedron endowed with its intrinsic metric.

Publisher

Walter de Gruyter GmbH

Subject

Geometry and Topology

Link

https://www.degruyter.com/document/doi/10.1515/advgeom.2010.014/pdf

Reference11 articles.

1. Nonoverlap of the star unfolding

2. Farthest points and cut loci on some degenerate convex surfaces

3. Connections between differential geometry and topology. I. Simply connected surfaces

4. Antipodes sur un t�tra�dre r�gulier

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1. The Farthest Point Map on the Regular Octahedron;Experimental Mathematics;2021-04-22

2. Farthest point map on a centrally symmetric convex polyhedron;Geometriae Dedicata;2019-04-05

3. Steinhaus Conditions for Convex Polyhedra;Convexity and Discrete Geometry Including Graph Theory;2016

4. As many antipodes as vertices on convex polyhedra;Advances in Geometry;2012-03

5. Quasigeodesics and farthest points on convex surfaces;advg;2011-08-19

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