Article Dans Une Revue Journal of Combinatorial Theory, Series B Année : 2007

The uniform locally finite tilings of the plane

Résumé

We characterize the uniform locally finite tilings of the plane by finite combinatorial objects called labeling schemes. This representation is based on the analysis of the group of symmetries of a tiling which is realized independently of its geometry. As a consequence, we're able to give an exhaustive enumeration of these tilings. This description encompasses the regular polyhedra and the Archimedean tilings, but most of these are tilings of the hyperbolic plane.

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Dates et versions

hal-00411719 , version 1 (28-08-2009)

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  • HAL Id : hal-00411719 , version 1

Citer

David Renault. The uniform locally finite tilings of the plane. Journal of Combinatorial Theory, Series B, 2007, 98 (4), pp.Pages 651-671. ⟨hal-00411719⟩
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