Introducing the Plaid Model
Dynamical Systems
2015-06-09 v2
Abstract
We introduce and prove some basic results about a combinatorial model which produces embedded polygons in the plane. The model is closely related to outer billiards on kites, and also is related to corner percolation, to Hooper's Truchet tile system, to self-similar tilings, and to polyhedron exchange transformations.
Keywords
Cite
@article{arxiv.1506.01202,
title = {Introducing the Plaid Model},
author = {Richard Evan Schwartz},
journal= {arXiv preprint arXiv:1506.01202},
year = {2015}
}
Comments
68 pages. This is an more polished version of the original submission. The connection to polytope exchanges is developed and one of the speculative sections has been eliminated. Otherwise, it has the same results