The topology of the minimal regular cover of the Archimedean tessellations

Camilo Ram\'irez; Daniel Pellicer; Ferr\'an Valdez; Miguel Raggi; Thierry Coulbois

arxiv: 1210.1518 · v1 · pith:CMZPY6IZnew · submitted 2012-10-04 · 🧮 math.GT · math.CO

The topology of the minimal regular cover of the Archimedean tessellations

Thierry Coulbois , Daniel Pellicer , Miguel Raggi , Camilo Ram\'irez , Ferr\'an Valdez This is my paper

classification 🧮 math.GT math.CO

keywords archimedeanfamilyinfinitemapsminimalregulartopologyarticle

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In this article we determine, for an infinite family of maps on the plane, the topology of the surface on which the minimal regular covering occurs. This infinite family includes all Archimedean maps.

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The topology of the minimal regular cover of the Archimedean tessellations

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