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Space tilings and local isomorphism

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Abstract

We prove for a large class of tilings that, given a finite tile set, if it is possible to tile Euclideann-space with isometric copies of this set, then there is a tiling with the ‘local isomorphism property’.

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Authors and Affiliations

  1. Mathematics Department, University of Texas, 78712, Austin, TX, USA

    Charles Radin

  2. Mathematics Department, University of California, 94720, Berkeley, CA, USA

    Mayhew Wolff

Authors
  1. Charles Radin
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  2. Mayhew Wolff
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Additional information

Research supported in part by NSF Grant No. DMS-9001475.

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Radin, C., Wolff, M. Space tilings and local isomorphism. Geom Dedicata 42, 355–360 (1992). https://doi.org/10.1007/BF02414073

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  • DOI: https://doi.org/10.1007/BF02414073

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