Ten colours in quasiperiodic and regular hyperbolic tilings

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dc.creatorLück, Reinhard
dc.creatorFrettlöh, Dirk
dc.date2008-10-29
dc.date.accessioned2026-07-07T10:13:56Z
dc.date.available2026-07-07T10:13:56Z
dc.descriptionColour symmetries with ten colours are presented for different tilings. In many cases, the existence of these colourings were predicted by group theoretical methods. Only in a few cases explicit constructions were known, sometimes using combination of two-colour and five-colour symmetries. Here we present explicit constructions of several of the predicted colourings for the first time, and discuss them in contrast to already known colourings with ten colours.
dc.description6 pages, 4 b/w figures, 2 colour figures. Due to size/file format restrictions, the image quality is low. Better quality versions can be obtained from the second author
dc.identifierhttps://arxiv.org/abs/0810.5299
dc.identifierhttp://arxiv.org/abs/0810.5299
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172709
dc.subjectCombinatorics
dc.subjectGroup Theory
dc.subject05A15
dc.titleTen colours in quasiperiodic and regular hyperbolic tilings
dc.typetext

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