Adjacency properties of extreme points of a convex polyhedron are discussed. In mathematical programming we are quite often faced with problems of characterizing the ...

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In the first paper, Alexandrov's Theorem was studied, and extended, to show that convex polyhedra form statically rigid frameworks in space, when built with plane-rigid faces. This second paper ...

From ancient times, mathematicians have been intrigued by polyhedra, closed surfaces with polygons as sides. They have been especially interested in those in which the polygons are regular – the sides ...