Monohedral Tilings of a Convex Disc with a Smooth Boundary
Metric Geometry
2021-10-25 v1
Abstract
In this paper we give a complete description about normal monohedral tilings of a convex disc with smooth boundary where we have at most three topological discs as tiles. This result is a far-reaching generalization of the results of Kurusa, L\'angi and V\'igh \cite{KLV2020}. Some further partial results are proved for non-normal tilings.
Cite
@article{arxiv.2110.11800,
title = {Monohedral Tilings of a Convex Disc with a Smooth Boundary},
author = {Kinga Nagy and Viktor Vigh},
journal= {arXiv preprint arXiv:2110.11800},
year = {2021}
}
Comments
22 pages, 15 figures