The classification of football patterns

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dc.creatorBraungart, V.
dc.creatorKotschick, D.
dc.date2006-06-08
dc.date.accessioned2026-07-07T07:17:05Z
dc.date.available2026-07-07T07:17:05Z
dc.descriptionWe prove that every spherical football (also known as a spherical soccer ball) is a branched cover, branched only in the vertices, of the standard football made up of 12 pentagons and 20 hexagons. We also give examples showing that the corresponding result is not true for footballs of higher genera. Moreover, we classify the possible pairs (k,l) for which football patterns on the sphere exist satisfying a natural generalisation of the usual incidence relation between pentagons and hexagons to k-gons and l-gons.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0606193
dc.identifierhttp://arxiv.org/abs/math/0606193
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113817
dc.subjectGeometric Topology
dc.subjectGeneral Mathematics
dc.subject52B05, 57M12, 57M15
dc.titleThe classification of football patterns
dc.typetext

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