@article{oai:tsukuba.repo.nii.ac.jp:00031648, author = {秋山, 茂樹 and Akiyama, Shigeki and Lee, Jeong-Yup}, issue = {3}, journal = {Osaka journal of mathematics}, month = {Jul}, note = {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.}, pages = {597--609}, title = {The computation of overlap coincidence in Taylor--Socolar substitution tiling}, volume = {51}, year = {2014} }