Simulated annealing is a computational heuristic for obtaining approximate solutions to
combinatorial optimization problems. It is used to construct good source codes, error …

This introduction to the theory of rigid structures explains how to analyze the performance of
built and natural structures under loads, paying special attention to the role of geometry. The …

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 …

It has long been suggested that atomic clusters may provide representative structural
elements in metallic glasses. The dense random packing model described atomic clusters …

Distributing points on the sphere: Page 1 The University of New South Wales School of
Mathematics and Statistics Department of Applied Mathematics Distributing points on the …

The closest packing of x circles on the surface of a sphere is calculated in the same way that
the stereochemical arrangement of atoms around a central atom is determined. A number of …

An analysis is presented for the Tammes problem: how must n points be distributed on the
surface of a sphere in order that the minimum angular distance between any two of the …

The problem of twelve spheres is to understand, as a function of r ∈ (0, r_ max (12), the
configuration space of 12 non-overlapping equal spheres of radius r touching a central unit …

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 a sphere be covered by n equal circles so that the angular radius of the circles will
be as small as possible? In this paper, conjectured solutions of this problem for n= 15 to 20 …