Subtilings of Elnitsky Tilings for Finite Irreducible Coxeter Groups

Abstract

Two new Elnitsky tilings for Coxeter groups of type $\mathrm{B}$ are displayed as certain subtilings. Additionally, a new tiling for the non-crystallographic Coxeter group of type ${\mathrm{H}}_3$ is obtained, described as a ${\mathrm{D}}_6$-subtiling.

12 pages, 6 figures