1 citations · 1 across the 1 of their papers we have counts for
3 papers
cond-mat.soft2025
Octagonal tilings with three prototiles
April Lynne D. Say-awen, Sam Coates
Motivated by theoretically and experimentally observed structural phases with octagonal symmetry, we introduce a family of octagonal tilings which are composed of three prototiles.…
math.MG2024
Tilings with Infinite Local Complexity and n-Fold Rotational Symmetry, n=13,17,21
April Lynne D. Say-awen
A tiling is said to have infinite local complexity (ILC) if it contains infinitely many two-tile patches up to rigid motions. In this work, we provide examples of substitution rule…
math.MG2016★ 1 cited
Substitution tilings with dense tile orientations and n-fold rotational symmetry
Dirk Frettlöh, April L. D. Say-awen, M. L. A. N. de las Peñas
It is shown that there are primitive substitution tilings with dense tile orientations invariant under n-fold rotation for n=2,3,4,5,6,8. The proof for dense tile orientations uses…