论文标题
一致的四边形的理性角度和斜纹
Rational Angles and Tilings of the Sphere by Congruent Quadrilaterals
论文作者
论文摘要
我们应用二芬太汀分析，通过一致的几乎等边性四边形（即边缘组合A3B）对球体的边缘到边缘砖进行分类。与Cheung，Luk和Yan的完整分类并行，此处实施的方法更加系统地适用于其他相关的平铺问题。我们还为瓷砖提供了详细的几何数据。
We apply Diophantine analysis to classify edge-to-edge tilings of the sphere by congruent almost equilateral quadrilaterals (i.e., edge combination a3b). Parallel to a complete classification by Cheung, Luk and Yan, the method implemented here is more systematic and applicable to other related tiling problems. We also provide detailed geometric data for the tilings.
