Dihedral f-tilings of the sphere by spherical triangles and equiangular well-centered quadrangles
type: Item
instance of: scholarly article
title: Dihedral f-tilings of the sphere by spherical triangles and equiangular well-centered quadrangles
zbMATH Open document ID: 1084.52011
published in: Beiträge zur Algebra und Geometrie
publication date: 2004-09-10T00:00:00Z
full work available at URL: https://eudml.org/doc/229789
full work available at URL: 8.html
review text: A dihedral f-tiling of the Euclidean sphere consists of a decomposition of the sphere by polygons congruent to two fixed non-congruent polygons, the prototiles, with each vertex of even valency and the alternating angles at each vertex adding up to \(\pi\). The authors classify similar tilings where the prototiles are spherical triangles and well centered quadrangles with internal angles all congruent. This classification involves the cases where the triangle is equilateral, isosceles or scalene and the quadrangle has congruent adjacent sides or non-congruent adjacent sides.
reviewed by: Charles Leytem
Mathematics Subject Classification ID: 52C20
Mathematics Subject Classification ID: 05B45
zbMATH DE Number: 2100234
zbMATH Keywords: dihedral f-tiling
zbMATH Keywords: well centered
zbMATH Keywords: spherical triangle
zbMATH Keywords: spherical quadrangle
zbMATH Keywords: spherical trigonometry
author: Ana M. R. Azevedo Breda
author: Altino Manuel Folgado dos Santos
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2100234