Non-Tiles and Walls - A Variant on the Heesch Problem
History and Overview
2016-06-01 v2
Abstract
The Heesch problem 'grades' polygons that fail to tile the plane in terms of the number of layers (or corollas) of copies of it that can be formed around a central unit. We study the different topology of ' walls', which we define to be simply connected regions that divide the plane exactly into two simply connected regions. We present preliminary results and conjectures.
Cite
@article{arxiv.1605.09203,
title = {Non-Tiles and Walls - A Variant on the Heesch Problem},
author = {Erich Friedman and R. Nandakumar},
journal= {arXiv preprint arXiv:1605.09203},
year = {2016}
}
Comments
7 figures, 5 pages