School Seminars and Colloquia

Aperiodic Tilings and some of their combinatorial properties

Statistical Mechanics/Combinatorics Seminar

by Uwe Grimm

Institution: The Open University, UK (Department of Mathematics and Statistics)
Date: Wed 5th March 2008
Time: 1:00 PM
Location: Theatre A, Old Arts Building, The University of Melbourne

Abstract: The unexpected discovery of crystalline materials with 'forbidden' symmetries in 1982 not only shook the foundations of crystallography,
but motivated a lot of activity in the mathematics of aperiodic order.
In this talk, I give a general introduction to the theory of aperiodic tilings,
and in particular explain how such tilings can be generated. This is followed
by a brief discussion of some combinatorial properties of planar aperiodic tilings, such as their shelling and coordination numbers, which can be analysed with methods from algebraic number theory.

For More Information: Iwan Jensen