Abstract: This paper presents an algorithm to determine whether a point-set composed of n-points is in the polyhedron or not-which is called the convex hull method. With this method, it is not ...

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

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 ...

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 ...

The Greeks described two classes of convex equilateral polyhedron with polyhedral symmetry, the Platonic (including the tetrahedron, octahedron, and icosahedron) and the Archimedean (including the ...

Ancient Greek mathematicians – most notably Plato - classified solid shapes thousands of years ago. Since then, remarkably few geometric ‘solid’ forms have been discovered and the last collection was ...

Royal Society Research Fellow and Senior Birmingham Fellow, University of Birmingham The work of the Greek polymath Plato has kept millions of people busy for millennia. A few among them have been ...