research papers
Carbon onions from affine extensions are considered in analogy with virus work.
Keywords: symmetry; viruses; fullerenes; carbon onions; Coxeter groups; affine extensions; quasicrystals.
research papers
The subgroup structure of the hyperoctahedral group in six dimensions is studied, with particular attention to the subgroups isomorphic to the icosahedral group. The orthogonal crystallographic representations of the icosahedral group are classified, and their intersections are studied in some detail, using a combinatorial approach which involves results from graph theory and their spectra.