9 citations
2 papers
math.MG2017
On the Penrose and Taylor-Socolar Hexagonal Tilings
Jeong-Yup Lee, Robert V. Moody
We study the intimate relationship between the Penrose and the Taylor-Socolar tilings, within both the context of double hexagon tiles and the algebraic context of hierarchical inv…
math.MG2014★ 9 cited
Overlap coincidence to strong coincidence in substitution tiling dynamics
Shigeki Akiyama, Jeong-Yup Lee
Overlap coincidence is an equivalent criterion to pure discrete spectrum of the dynamics of self affine tilings. In the case of one dimension, strong coincidence on m letter irredu…