Quasiperiodic bobbin lace patterns
Discrete Mathematics
2019-10-18 v1 Combinatorics
Dynamical Systems
Metric Geometry
Abstract
Bobbin lace is a fibre art form in which threads are braided together to form a fabric, often with a very detailed and complex design. In traditional practice, each region of the fabric is filled with a periodic texture. We establish the groundwork for non-periodic lace patterns and present three new quasiperiodic families based on Sturmian words, the Penrose tiling by thick and thin rhombs and the Ammann-bar decoration of the Penrose tiling.
Cite
@article{arxiv.1910.07935,
title = {Quasiperiodic bobbin lace patterns},
author = {Veronika Irvine and Therese Biedl and Craig S. Kaplan},
journal= {arXiv preprint arXiv:1910.07935},
year = {2019}
}
Comments
27 pages, 13 figures