期刊
DISCRETE & COMPUTATIONAL GEOMETRY
卷 55, 期 4, 页码 972-996出版社
SPRINGER
DOI: 10.1007/s00454-016-9779-1
关键词
Substitution tiling; Quasiperiodic; Rotation symmetry; Rhombic tiling
资金
- Kone Foundation
In this paper we prove the existence of quasiperiodic rhombic substitution tilings with 2n-fold rotational symmetry, for any n. The tilings are edge-to-edge and use rhombic prototiles with unit length sides. We explicitly describe the substitution rule for the edges of the rhombuses, and prove the existence of the corresponding tile substitutions by proving that the interior can be tiled consistently with the given edge substitutions.
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