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 |