Isoperimetric Pentagonal Tilings
Metric Geometry
2011-11-29 v1
Abstract
We identify least-perimeter unit-area tilings of the plane by convex pentagons, namely tilings by Cairo and Prismatic pentagons, find infinitely many, and prove that they minimize perimeter among tilings by convex polygons with at most five sides.
Keywords
Cite
@article{arxiv.1111.6161,
title = {Isoperimetric Pentagonal Tilings},
author = {Ping Ngai Chung and Miguel A. Fernandez and Yifei Li and Michael Mara and Frank Morgan and Isamar Rosa Plata and Niralee Shah and Luis Sordo Vieira and Elena Wikner},
journal= {arXiv preprint arXiv:1111.6161},
year = {2011}
}
Comments
16 pages, 17 figures