论文标题

可以形成旋转对称瓷砖的凸五角形和凹面八块

Convex pentagons and concave octagons 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的边缘到边缘的凸五角形的特性。因为旋转对称的砖是由通过线对称性连接的两个凸五角形生成的凹形八块形成的,所以它们被认为等同于带有凹面八角形的旋转对称瓷砖。此外,在某些情况下,可以使用这些凸五角形形成带有常规多边形孔的瓷砖样图案。

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.

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