Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/22148
Title: A new class of monohedral pentagonal spherical tilingswith GeoGebra
Author: Breda, Ana
Santos, José M. Santos dos
Keywords: Spherical geometry
GeoGebra
Spherical tilings
Issue Date: Feb-2018
Publisher: European Mathematical Society
Abstract: By a monohedral spherical tiling we mean a decomposition of the sphereby geodesic congruent polygons. Here, making use of GeoGebra, a well known freeinteractive mathematics software, we show how to generate new classes of monohedralnon-convex triangular and new non-convex pentagonal spherical tilings, changing theside gluing rules of the regular spherical tetrahedral tiling, by means of a local actionof particular subgroups of spherical isometries. In both cases each face haspas areameasure.In relation to the new class of pentagonal tilings, we describe some of their propertiesand show the existence, in a special case, of an associated dihedral triangular spherical til-ing, that is, a tiling composed by two sets of congruent triangles.These classes of spherical tilings have emerged as a result of an interative constructionprocess, only possible by the use of newly produced GeoGebra tools and the dynamic inter-action capabilities of this software.
Peer review: yes
URI: http://hdl.handle.net/10773/22148
DOI: 10.4171/PM/2006
ISSN: 0032-5155
Appears in Collections:CIDMA - Artigos

Files in This Item:
File Description SizeFormat 
PM_74-3_06 257.pdfDocumento principal656.18 kBAdobe PDFView/Open


FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpace
Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.