# Substitution planar tilings with n-fold rotational symmetry

Victor Lutfalla
LIPN, Paris 13
https://lipn.univ-paris13.fr/~lutfalla/

Date(s) : 05/06/2020   iCal
11 h 00 min - 12 h 00 min

WEBINAIRE (lien)

We prove that the SubRosa substitution tilings with 2n-fold rotational symmetry defined by Kari and Rissanen are not planar for odd n. However we prove the existence of planar substitution tilings with 2n-fold rotational symmetry for any odd n. The tilings we consider are rhombic and edge-to-edge. We give an explicit 10-fold substitution planar tiling and we give a construction method for the general case of 2n-fold with odd n.

https://arxiv.org/abs/2010.01879

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