Title

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

Document Type

Article

Publication Date

2-2017

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.

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