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math.MG2010★ 6 cited
Algorithm for determining pure pointedness of self-affine tilings
Shigeki Akiyama, Jeong-Yup Lee
Overlap coincidence in a self-affine tiling in is equivalent to pure point dynamical spectrum of the tiling dynamical system. We interpret the overlap coincidence in the set…
math.MG2010★ 3 cited
Similar dissection of sets
Shigeki Akiyama, Jun Luo, Ryotaro Okazaki +2
In 1994, Martin Gardner stated a set of questions concerning the dissection of a square or an equilateral triangle in three similar parts. Meanwhile, Gardner's questions have been…