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Rings and Modules Seminar
~ Abstracts ~

W. Kocay
bkocay(at)cc(dot)umanitoba(dot)ca

Department of Computer Science
University of Manitoba

Tuesday, October 06, 2009

A Rational Coordinatization of the Georges Configuration
Abstract:

An n3 configuration consists of a set of n points and n lines such that each line is incident on 3 points, and each point is incident on 3 lines. The book Geometry and the Imagination by Hilbert and Cohn-Vossen contains much material on n3 configurations. In recent years they have been studied by Grunbaum, Sturmfels, Bokowski, Pisanski, Gropp, and others, using algebraic, geometric, and combinatorial methods. The Georges configuration is a 253 configuration, introduced by Grunbaum. He recently proved that it has a coordinatization in the real plane. I have recently found a rational coordinatization of it, by finding roots of a coordinatizing polynomial. This method of constructing a coordinatizing polynomial and its application to the Georges configuration will be presented.


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