Convex pentagons and concave octagons that can form rotationally symmetric tilings
Metric Geometry
2022-05-04 v3
Abstract
In this study, the properties of convex pentagons that can form rotationally symmetric edge-to-edge tilings are discussed. Because the rotationally symmetric tilings are formed by concave octagons that are generated by two convex pentagons connected through a line symmetry, they are considered to be equivalent to rotationally symmetric tilings with concave octagons. In addition, under certain circumstances, tiling-like patterns with a regular polygonal hole at the center can be formed using these convex pentagons.
Keywords
Cite
@article{arxiv.2005.08470,
title = {Convex pentagons and concave octagons that can form rotationally symmetric tilings},
author = {Teruhisa Sugimoto},
journal= {arXiv preprint arXiv:2005.08470},
year = {2022}
}
Comments
28 pages, 32 figures