For more information about this meeting, contact Sergei Tabachnikov.
|Title:||Tilings with rational polygons|
|Speaker:||Richard Kenyon, Brown University|
|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
Room Reservation Information
|Date:||10 / 07 / 2010|
|Time:||02:30pm - 03:20pm|