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