Convex pentagons and convex hexagons that can form rotationally symmetric tilings
Metric Geometry
2022-05-05 v2
Abstract
In this study, the properties of convex hexagons that can form rotationally symmetric edge-to-edge tilings are discussed. Because the convex hexagons are equilateral convex parallelohexagons, convex pentagons generated by bisecting the hexagons can form rotationally symmetric non-edge-to-edge tilings. In addition, under certain circumstances, tiling-like patterns with an equilateral convex polygonal hole at the center can be formed using these convex hexagons or pentagons.
Keywords
Cite
@article{arxiv.2005.10639,
title = {Convex pentagons and convex hexagons that can form rotationally symmetric tilings},
author = {Teruhisa Sugimoto},
journal= {arXiv preprint arXiv:2005.10639},
year = {2022}
}
Comments
23 pages, 28 figures. arXiv admin note: text overlap with arXiv:2005.08470