An Algebraic Invariant for Substitution Tiling Systems
动力系统
2018-07-10 v1 组合数学
度量几何
摘要
We consider tilings of Euclidean spaces by polygons or polyhedra, in particular, tilings made by a substitution process, such as the Penrose tilings of the plane. We define an isomorphism invariant related to a subgroup of rotations and compute it for various examples. We also extend our analysis to more general dynamical systems.
引用
@article{arxiv.math/9712264,
title = {An Algebraic Invariant for Substitution Tiling Systems},
author = {Charles Radin and Lorenzo Sadun},
journal= {arXiv preprint arXiv:math/9712264},
year = {2018}
}
备注
Plain TeX. 18 pages including 5 embedded postscript figures