Affine extension of noncrystallographic Coxeter groups and quasicrystals

J. Patera, R. Twarock

Unique affine extensions $H^{\aff}_2$, $H^{\aff}_3$ and $H^{\aff}_4$ are determined for the noncrystallographic Coxeter groups $H_2$, $H_3$ and $H_4$. They are used for the constru…