Reference
Veronika Irvine, Therese Biedl, Craig S. Kaplan. Quasiperiodic bobbin lace. Submitted for publication.
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.