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Simon Lepkin (Binghamton)

Solid Angles

Abstract for the Combinatorics Seminar 2011 March 6

Solid angles are a generalization into higher dimensions of the 2-dimensional angles we know and love. When we add up the solid angles subtended by a polytope P at each (1/t)-fractional lattice point in P, we get a useful measure of P called the solid angle sum. This sum has a number of nice properties, one of which easily implies Pick's Theorem about polygons!

seminars/comb/abstract.201203lep.txt · Last modified: 2020/01/29 14:03 (external edit)