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The computation of overlap coincidence in Taylor--Socolar substitution tiling
秋山, 茂樹
Akiyama, Shigeki
Lee, Jeong-Yup
Dept. of Mathematics, Osaka University
Dept. of Mathematics, Osaka City University
Recently Taylor and Socolar introduced an aperiodic mono-tile. The associated tiling can be viewed as a substitution tiling. We use the substitution rule for this tiling and apply the algorithm of [1] to check overlap coincidence. It turns out that the tiling has overlap coincidence. So the tiling dynamics has pure point spectrum and we can conclude that this tiling has a quasicrystalline structure.
Dept. of Mathematics, Osaka University
Dept. of Mathematics, Osaka City University
2014-07
eng
journal article
http://hdl.handle.net/2241/00122419
https://tsukuba.repo.nii.ac.jp/records/31648
0030-6126
AA00765910
Osaka journal of mathematics
51
3
597
609
https://tsukuba.repo.nii.ac.jp/record/31648/files/OJM_51-3.pdf
application/pdf
316.0 kB
2014-11-07