Coxeter Groups, Root Systems, Roots of Unity and Why Translational Symmerty and Angular Momentum

Icosahedral symmetry is not compatible with translational symmetry, so there are no associated crystallographic point groups or space groups. In mathematics, a root system is a configuration of vectors in a Euclidean space satisfying certainContinue reading “Coxeter Groups, Root Systems, Roots of Unity and Why Translational Symmerty and Angular Momentum”