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

The rediscovery of temperature-controlled self-faceting, shaping, and splitting transitions in
liquid oil-in-water emulsion droplets, has recently led to a significant progress in the …

We present a dual formulation of the Cosserat theory of elasticity. In this theory a local
element of an elastic body is described in terms of local displacement and local orientation …

We study the ground states of crystals on spherical surfaces. These ground states consist of
positive disclination defects in structures spanning from flat and weakly curved caps to …

The mechanical properties of crystals on curved substrates mix elastic, geometric, and
topological degrees of freedom. In order to elucidate the properties of such crystals, we …

Recent findings suggest that shell protein distribution and the morphology of bacterial
microcompartments regulate the chemical fluxes facilitating reactions which dictate their …

The problem of characterizing the structure of an elastic network constrained to lie on a
frozen curved surface appears in many areas of science and has been addressed by many …

The morphological response of two-dimensional curved elastic sheets to an isolated defect
(dislocation/disclination) is investigated within the framework of Föppl–von Kármán shallow …

Determining the positions of lattice defects on bounded elastic surfaces with Gaussian
curvature is a nontrivial task of mechanical energy optimization. We introduce a simple way …

We have studied the packing of congruent disks on a spherical cap, for caps of different size
and number of disks, $ N $. This problem has been considered before only in the limit cases …