PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Sergei Tabachnikov.

Title:Tilings with rational polygons
Seminar:MASS Colloquium
Speaker:Richard Kenyon, Brown University
Abstract:
In 1903, Dehn showed that an aXb rectangle can be tiled by squares if and only if a/b is rational. We generalize this as follows. A convex polygon P can be tiled by rational polygons if and only if P is rational. Here by rational polygon we mean a polygon whose side length ratios are rational. The proof uses the notions of the signature of a quadratic form, and of rational linear maps from R to R, both of which we will introduce as necessary.

Room Reservation Information

Room Number:MB113
Date:10 / 07 / 2010
Time:02:30pm - 03:20pm