All Outputs (2)

Viruses and fullerenes - symmetry as a common thread? (2014)
Journal Article
Dechant, P., Wardman, J., Keef, T., & Twarock, R. (2014). Viruses and fullerenes - symmetry as a common thread?. Acta Crystallographica Section A: Foundations and Advances, 70(2), 162-167. https://doi.org/10.1107/s2053273313034220

The principle of affine symmetry is applied here to the nested fullerene cages (carbon onions) that arise in the context of carbon chemistry. Previous work on affine extensions of the icosahedral group has revealed a new organizational principle in v... Read More about Viruses and fullerenes - symmetry as a common thread?.

A Clifford algebraic framework for Coxeter group theoretic computations (2014)
Journal Article
Dechant, P. (2014). A Clifford algebraic framework for Coxeter group theoretic computations. Advances in Applied Clifford Algebras, 24(1), 89-108. https://doi.org/10.1007/s00006-013-0422-4

Real physical systems with reflective and rotational symmetries such as viruses, fullerenes and quasicrystals have recently been modeled successfully in terms of three-dimensional (affine) Coxeter groups. Motivated by this progress, we explore here t... Read More about A Clifford algebraic framework for Coxeter group theoretic computations.