Perimeter-minimizing Tilings by Convex and Non-convex Pentagons
Metric Geometry
2013-05-16 v1
Abstract
We study the presumably unnecessary convexity hypothesis in the theorem of Chung et al. [CFS] on perimeter-minimizing planar tilings by convex pentagons. We prove that the theorem holds without the convexity hypothesis in certain special cases, and we offer direction for future research.
Keywords
Cite
@article{arxiv.1305.3587,
title = {Perimeter-minimizing Tilings by Convex and Non-convex Pentagons},
author = {Whan Ghang and Zane Martin and Steven Waruhiu},
journal= {arXiv preprint arXiv:1305.3587},
year = {2013}
}