Properties of Convex Pentagonal Tiles for Periodic Tiling
Metric Geometry
2018-11-07 v1
Abstract
A convex pentagonal tile is a convex pentagon that admits a monohedral tiling. We show that a convex pentagonal tile that admits a periodic tiling has a property in which the sum of three internal angles of the pentagon is equal to 360{\deg}.
Cite
@article{arxiv.1811.02075,
title = {Properties of Convex Pentagonal Tiles for Periodic Tiling},
author = {Teruhisa Sugimoto},
journal= {arXiv preprint arXiv:1811.02075},
year = {2018}
}
Comments
7 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1606.07997