Spherical f-tilings by two non congruent classes of isosceles triangles - I
type: Item
instance of: scholarly article
zbMATH Open document ID: 1267.52016
author: Ana Maria Reis d'Azevedo Breda
author: Patricia Dos Santos Ribeiro
publication date: 2012-09-18T00:00:00Z
full work available at URL: http://hrcak.srce.hr/index.php
Mathematics Subject Classification ID: 52C20
Mathematics Subject Classification ID: 05B45
zbMATH DE Number: 6083580
zbMATH Keywords: dihedral f-tilings
zbMATH Keywords: isometric foldings
zbMATH Keywords: symmetry groups
MaRDI profile type: Publication
title: Spherical f-tilings by two non congruent classes of isosceles triangles - I
published in: Mathematical Communications
review text: Dihedral f-tilings are edge-to-edge decompositions of the sphere by geodesic polygons which are congruent to one of two non congruent isosceles triangles such that all vertices satisfy the angle folding relation. The paper gives a classification of dihedral f-tilings with adjacency of type I by three parametrized families and one isolated tiling, and provides combinatorial structure of each tiling including the symmetry group. It extends the classification of dihedral spherical f-tilings for which one of the prototiles is an equilateral triangle.
reviewed by: Jeong-Yup Lee
description: scientific article; zbMATH DE number 6083580