The complete cartwheel tiling

The complete cartwheel tiling

The complete cartwheel tiling is a well known Penrose tiling without exact pentagonal symmetry, but with an approximate decagonal symmetry far away from the center. We show in this paper that this tiling is not obtained by the “cut and project” method of de Bruijn (Indag Math 43:39–66, 1981 ) though...

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Veröffentlicht in:Journal of geometry 2017-07, Vol.108 (2), p.703-717
Hauptverfasser: Eschenburg, J.-H., Rivertz, H. J.
Format: Artikel
Sprache:eng
Schlagworte:
Geometry
Mathematics
Mathematics and Statistics
Quasicrystalline structure
Symmetry
Tiling
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Zusammenfassung:The complete cartwheel tiling is a well known Penrose tiling without exact pentagonal symmetry, but with an approximate decagonal symmetry far away from the center. We show in this paper that this tiling is not obtained by the “cut and project” method of de Bruijn (Indag Math 43:39–66, 1981 ) though it is a limit of such projections.
ISSN:0047-2468
1420-8997
DOI:10.1007/s00022-016-0368-5