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 ...

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

The works of the Greek polymath Plato have kept people busy for millennia. Mathematicians have long pondered Platonic solids, a collection of geometric forms that are highly regular and are frequently ...

Editor's Note: This article was provided by The Conversation UK. The original is here. The work of the Greek polymath Plato has kept millions of people busy for millennia. A few among them have been ...

Besides the regular and semiregular solids, there are just ninety-two other convex polyhedra with regular faces. In 1966, the American mathematician Norman W. Johnson, a student of H.S.M. Coxeter at ...