Aperiodic tilings old and new an overflight

by Shelomo Ben Avraham

at Physics Colloquium

Tue, 16 Jan 2018, 15:30
Nanotechnology institute building (#51) room 15

Abstract

I briefly sketch the background and motivation for studying ordered aperiodic structures I show a few examples of fivefold tilings relevant to metallic quasicrystals as well as some twelvefold tilings occurring mainly in soft matter I present my own eightfold spacefilling structure interpreting the structure of the MnSiAl quasiperiodic phase in terms of covering by clusters By comparison of the Golay Rudin Shapiro and Champernowne sequences I demonstrate that nonzero entropy does not imply stochasticity Eventually I show our own multidimensional generalizations of the Paperfolding and Period doubling sequences as well as the Chair code Table and Squiral equivalent tilings Refreshments are served at 15:15

Created on 14-01-2018 by Bar Lev, Yevgeny (ybarlev)
Updaded on 14-01-2018 by Bar Lev, Yevgeny (ybarlev)