Random packing density
Herbert Solomon · Project Euclid (Cornell University) · 1967
Abstract : Random packing of spheres in two-dimensional, threedimensional and higher spaces is investigated. In onedimension this reduces to the 'parking problem' which has been studied by several authors. Some restricted random packing is analyzed in one, two, and three dimensions. The latter case is of interest in physical chemistry in connection with 'loose' and 'dense' random packing. Extensions of these concepts to lower dimensions yields some theoretical values of interest in a one-dimensional modified parking problem. Some applications of random packing are discussed. (Author)