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DCG
2006
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13 years 11 months ago
The Angle Defect for Odd-Dimensional Simplicial Manifolds
In a 1967 paper, Banchoff stated that a certain type of polyhedral curvature, that applies to all finite polyhedra, was zero at all vertices of an odd-dimensional polyhedral manifo...
Ethan D. Bloch
DCG
2010
71views more  DCG 2010»
13 years 11 months ago
A Characterization of the Angle Defect and the Euler Characteristic in Dimension 2
The angle defect, which is the standard way to measure the curvatures at the vertices of polyhedral surfaces, goes back at least as far as Descartes. Although the angle defect has ...
Ethan D. Bloch