This paper addresses the design and commutation of a novel kind of spherical stepper
motor in which the poles of the stator are electromagnets and the poles of the rotor (rotating …

In this work, we investigate the equal circle packing problem on a sphere (ECPOS), which
consists in packing N equal non-overlapping circles on a unit sphere such that the radius of …

This chapter presents two broad themes. The first is the unique non-Euclidean
characteristics of spheres and second the objectives for the orderly distributing points on a …

We describe an adaptation of the billiard algorithm for finding dense packings of equal
spheres inside a domain of the euclidean space. In order to improve the convergence of this …

In this dissertation, we investigate the energy of arrangements of N points on the surface of
the unit sphere in R $\sp3 $, interacting through a power law potential $ V (r)= r\sp\alpha …

How must n equal circles (spherical caps) of given angular radius r be arranged on the
surface of a sphere so that the area covered by the circles will be as large as possible? In …

Analogy between the post-buckling equilibrium form of complete spherical shells with the
mandrel inside and the form of living spherical honeycomb structures is investigated. The …

An overview of the authors' work (partly in collaboration with WD Smith) on the problems of
packing equal nonoverlapping spherical caps on a sphere in d dimensions, covering the …

We propose a new method for sampling the rotation group that involves decomposing it into
identical Voronoi cells centered on rotational symmetry operations of the Platonic solids …

Molecular replacement (MR) is a well established computational method for phasing in
macromolecular crystallography. In MR searches, spaces of motions are explored for …