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Dynamical Systems seminar - The Jeandel-Rao Aperiodic Wang Tilings of the Plane

Dates
Wednesday, November 16, 2022 - 14:00 to 15:00

Speaker: Roger Thompson (The Open University)

Abstract: In 2015, Jeandel and Rao proved that all tilesets with less than 11 tiles are finite or aperiodic. Using transducers in a brute force computer search, they found 25 candidate aperiodic tilesets with 11 tiles, and proved the aperiodicity of two of them. Labbé determined the underlying structure of one of them. Exploiting this work, and using a different technique for generating large patches, this has enabled the structure of the other, and some of the remaining candidates to be revealed. The technique also greatly simplifies proof of the finiteness of Jeandel and Rao's 10 tile tileset T_h.