We review approaches aimed at deciphering the physical mechanisms responsible for viral
structure and assembly. We discuss the basic principles of condensed matter physics …

Many systems in nature and the synthetic world involve ordered arrangements of units on
two-dimensional surfaces. We review here the fundamental role payed by both the topology …

Candidates for global minima of the Thomson problem for N charges on a sphere are
located for N≤ 400 and selected sizes up to N= 972. These results supersede many of the …

Finding the lowest energy configuration of N unit charges on a sphere, known as Thomson's
problem, is a long-standing query which has only been studied via numerical simulations …

Putative global minima for the Thomson problem of N charges on a sphere are located for
selected sizes in the range N≤ 4352. For small sizes most global minima simply exhibit 12 …

The original Thomson problem of “spherical crystallography” seeks the ground state of
electron shells interacting via the Coulomb potential; however one can also study crystalline …

In this paper we report on massive computer experiments aimed at finding spherical point
configurations that minimize potential energy. We present experimental evidence for two …

We investigate the zero-temperature structure of a crystalline monolayer constrained to lie
on a two-dimensional Riemannian manifold with variable Gaussian curvature and boundary …

Recent experiments on the formation of vortex lattices in Bose–Einstein condensates has
produced the need for a mathematical theory that is capable of predicting a broader class of …

A practical numerical method for the rapid construction of nanotube caps is proposed.
Founded upon the notion of lattice duality, the algorithm considers the face dual …