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Journal for Geometry and Graphics 22 (2018), No. 2, 283--299
Copyright Heldermann Verlag 2018

Spherical Geometry and Spherical Tilings with GeoGebra

Ana Maria D'Azevedo Breda
Dep. de Matemática, Universidade de Aveiro, Campus Univ. de Santiago, 3810-193 Aveiro, Portugal

José Manuel Dos Santos
Universidade Aberta, Rua da Escola Politécnica 141-147, 1269-001 Lisboa, Portugal

The classification of spherical tilings is a problem far from being solved. Here we show how to generate new families of antiprismatic spherical tilings using GeoGebra, a well known free software commonly used as a tool to teach and learn mathematics. Within the described propose some spherical geometry capabilities of GeoGebra had to be extended. The outline of the algorithms behind some of the newly designed and implemented GeoGebra tools and applications will be given.

Keywords: Spherical geometry, spherical tilings, GeoGebra.

MSC: 51M20; 52C20, 05B45, 51N30, 97N80

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