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2011 Notes on Vertex Atlas of Danzer Tiling
Hiroko Hayashi, Yuu Kawachi, Kazushi Komatsu, Aya Konda, Miho Kurozoe, Fumihiko Nakano, Naomi Odawara, Rika Onda, Akinobu Sugio, Masatetsu Yamauchi
Nihonkai Math. J. 22(1): 49-58 (2011).


In this note, we study in detail the remark in the appendix of Danzer [6]. We find that planer Danzer tilings have many different aspects than Penroze tilings. For e.g., we observe that Danzer tiling with 7-fold symmetry does not belong to the topological closure of tilings generated by up-down generation.


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Hiroko Hayashi. Yuu Kawachi. Kazushi Komatsu. Aya Konda. Miho Kurozoe. Fumihiko Nakano. Naomi Odawara. Rika Onda. Akinobu Sugio. Masatetsu Yamauchi. "Notes on Vertex Atlas of Danzer Tiling." Nihonkai Math. J. 22 (1) 49 - 58, 2011.


Published: 2011
First available in Project Euclid: 14 June 2012

zbMATH: 1256.52009
MathSciNet: MR2894025

Primary: 52C23
Secondary: 52C20

Keywords: Quasiperiodic tiling , rotational symmetry , substitution rule

Rights: Copyright © 2011 Niigata University, Department of Mathematics

Vol.22 • No. 1 • 2011
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