Subtilings of Elnitsky Tilings for Finite Irreducible Coxeter Groups

6 Jun 2021 · Robert Nicolaides, Peter Rowley ·

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.