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Article Dans Une Revue Theoretical Computer Science Année : 2012

Non lattice periodic tilings of R3 by single polycubes

Résumé

In this paper, we study a class of polycubes that tile the space by translation in a non lattice periodic way. More precisely, we construct a family of tiles indexed by integers with the property that Tk is a tile having k ≥ 2 has anisohedral number. That is k copies of Tk are assembled by translation in order to form a metatile. We prove that this metatile is lattice periodic while Tk is not a lattice periodic tile.
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Dates et versions

hal-00943570 , version 1 (07-02-2014)

Identifiants

  • HAL Id : hal-00943570 , version 1

Citer

Ian Gambini, Laurent Vuillon. Non lattice periodic tilings of R3 by single polycubes. Theoretical Computer Science, 2012, 432, pp.52-57. ⟨hal-00943570⟩
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