On the Penrose and Taylor-Socolar Hexagonal Tilings
Metric Geometry
2017-01-17 v1
Abstract
We study the intimate relationship between the Penrose and the Taylor-Socolar tilings, within both the context of double hexagon tiles and the algebraic context of hierarchical inverse sequences of triangular lattices. This unified approach produces both types of tilings together, clarifies their relationship, and offers straightforward proofs of their basic properties.
Keywords
Cite
@article{arxiv.1701.04314,
title = {On the Penrose and Taylor-Socolar Hexagonal Tilings},
author = {Jeong-Yup Lee and Robert V. Moody},
journal= {arXiv preprint arXiv:1701.04314},
year = {2017}
}
Comments
21 figures