Strong local rules without labels for Penrose rhombus tilings
Time: 14:00 -- Location: LRI, 445
summary: The Penrose rhombus tilings are a subshift of tilings of the
planefirst defined by R. Penrose.
This subshift is crucial in the study of geometrical tilings
because, though it was originally defined with 2 rhombus tiles with
cuts-and-notches or arrows on the edges, it is an aperiodic subshift
with local 10-fold rotational symmetry and it also is a substitution
subshift and a cut-and-project subshift.
We prove that the Penrose rhombus tilings can be defined by local
rules without labels (the arrows or cuts-and-notches on the edges
of the tiles). We present such a set of local rules.
Note that the fact that there exists a set of local rules without
labels is known, but we were unable to find a clear reference or an
actually correct set of local rules.
Slides utilisées lors de la présentation