On hyperbolic right-angled polygons
type: Item
instance of: scholarly article
title: On hyperbolic right-angled polygons
zbMATH Open document ID: 0839.51016
DOI: 10.1007/BF01263459
author: Antonio F. Costas
author: Ernesto Martínez
published in: Geometriae Dedicata
publication date: 1996-06-19T00:00:00Z
review text: The authors study right-angled nonself-intersecting \(N\)-gons in the hyperbolic plane for an arbitrary \(N \geq 5\). Necessary and sufficient conditions for \(N-3\) positive numbers to be the lengths of \(N - 3\) consecutive and non-consecutive sides are given, respectively. The hyperbolic cosine of one side can be expressed in terms of the \(N - 3\) non-adjacent sides. This is done explicitly for \(N \leq 12\). These interesting formulae are, however, too lengthy to be presented here.
reviewed by: Hans Havlicek
Mathematics Subject Classification ID: 51M10
zbMATH DE Number: 826788
zbMATH Keywords: right-angled polygon
zbMATH Keywords: hyperbolic plane
MaRDI profile type: Publication
cites work: On the Number of Real Curves Associated to a Complex Algebraic Curve
cites work: Elementary geometry in hyperbolic space
cites work: Q3912902
cites work: Q3033885
cites work: Q3207743
description: scientific article; zbMATH DE number 826788