Affine extension of noncrystallographic Coxeter groups and quasicrystals
Group Theory
2009-11-07 v1
Abstract
Unique affine extensions , and are determined for the noncrystallographic Coxeter groups , and . They are used for the construction of new mathematical models for quasicrystal fragments with 10-fold symmetry. The case of corresponding to planar point sets is discussed in detail. In contrast to the cut-and-project scheme we obtain by construction finite point sets, which grow with a model specific growth parameter.
Keywords
Cite
@article{arxiv.math/0202153,
title = {Affine extension of noncrystallographic Coxeter groups and quasicrystals},
author = {J. Patera and R. Twarock},
journal= {arXiv preprint arXiv:math/0202153},
year = {2009}
}
Comments
(27 pages, to appear in J. Phys. A)