Substitution tilings with dense tile orientations and n-fold rotational symmetry
classification
🧮 math.MG
keywords
denseorientationstilen-foldsubstitutiontilingsanglescertain
read the original 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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