Discrete CATS Seminar
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UNIVERSITY OF KENTUCKY **

DISCRETE CATS SEMINAR

(where CATS = COMBINATORICS, ALGEBRA, TOPOLOGY AND STATISTICS!)

112 PATTERSON OFFICE TOWER

SPRING 2008

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"Generalized solid angle theory for real polytopes"

David DeSario

Georgetown College

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Monday, March 24, 2008

4:00 pm, 112 Patterson Office Tower

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Abstract:

The natural generalization of a two-dimensional angle to higher
dimensions is called a solid angle. We extend many theorems from the
theory of solid angles of polyhedra, which hold true for rational
polytopes, to results for real polytopes that involve more general solid
angles. A rational polytope is a polytope whose vertices all have
rational coordinates, whereas a real polytope has vertices with
arbitrary real coordinates.