We investigate the possibility of using icosahedral symmetry as a family symmetry group in
the lepton sector. The rotational icosahedral group, which is isomorphic to A 5, the …

We present a Landau theory for large-l orientational phase transitions and apply it to the
assembly of icosahedral viral capsids. The theory predicts two distinct types of ordering …

We investigate the idea that the double cover of the rotational icosahedral symmetry group is
the family symmetry group in the quark sector. The icosahedral (A5) group was previously …

We explore the use of a top-down approach to analyse the dynamics of icosahedral virus
capsids and complement the information obtained from bottom-up studies of viral vibrations …

In the analysis of stability in bifurcation problems it is often assumed that the (appropriate
reduced) equations are in normal form. In the presence of symmetry, the truncated normal …

We present a generalized Landau-Brazovskii free energy for the solidification of chiral
molecules on a spherical surface in the context of the assembly of viral shells. We encounter …

The Caspar–Klug classification of viruses whose protein shell, called viral capsid, exhibits
icosahedral symmetry, has recently been extended to incorporate viruses whose capsid …

The subgroup structure of the hyperoctahedral group in six dimensions is investigated. In
particular, the subgroups isomorphic to the icosahedral group are studied. The orthogonal …

The process of classifying possible symmetry-breaking bifurcations requires a computation
involving the subgroups and irreducible representations of the original symmetry group. It is …

Non-crystallographic symmetries are ubiquitous in physics, chemistry and biology.
Prominent examples are quasicrystals, alloys with long-range order but no translational …