Substitution tilings with dense tile orientations and n-fold rotational symmetry

Abstract

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 a general result about irrationality of angles in certain parallelograms.

10 pages, 8 figures. To appear in Indagationes Mathematicae

References in corpus (2)

• Dynamical properties of almost repetitive Delone sets
• Sub Rosa, a system of quasiperiodic rhombic substitution tilings with n-fold rotational symmetry

Cited by in corpus (1)

• Cyclotomic Aperiodic Substitution Tilings