Orateur
Description
De Bruijn proved in the early 1980's that Penrose aperiodic
tilings can be constructed from a method based on multigrids. As
observed by Moody and Lagarias in the 1990's, this method, now known as
cut and project scheme, was originally formalized by Meyer in 1970's. A
cut and project scheme includes a physical space (the space we want to
tile) and an internal space (an additional helpful coordinate space).
Many known aperiodic tilings are 4-to-2 cut-and-project schemes, meaning
that the dimension of both spaces is 2. These include Penrose tilings,
the Ammann tilings, the Jeandel-Rao tilings and tilings by the hat
monotile. The goal of this talk is to explain and understand aperiodic
tilings coming from 4-to-2 cut and project schemes with illustrations,
experimentations, discussions and using as many senses as possible
(sight, hearing, touch, smell and taste) but mostly the first three.