The topology of the minimal regular cover of the Archimedean tessellations

2012/10/04 by Thierry Coulbois, Daniel Pellicer, Coulbois, Thierry +7
Mathematics · #20F65 #57M15 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #math.CO #math.GT #msc:20F65 #msc:57M15

paper · pdf · doi:10.48550/arxiv.1210.1518

21 pages, 9 figures

arxiv created 2012/10/04 · openalex publication_date 2012/10/04 · arxiv updated 2012/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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