论文标题

可以形成旋转对称瓷砖的凸五角形和凸六角形

Convex pentagons and convex hexagons that can form rotationally symmetric tilings

论文作者

Sugimoto, Teruhisa

论文摘要

在这项研究中,讨论了可以形成旋转对称边缘到边缘砖的凸六角形的性能。由于凸六角形是等边的凸平行hexagons,因此通过六角形而产生的凸五角形可以形成旋转的旋转非对称的非边缘到边缘砖。此外,在某些情况下,可以使用这些凸六角形或五角星形成中心的等边凸形多边形孔的瓷砖样图案。

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.

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