论文标题
球体的瓷砖由一致的四边形III：边缘组合$ a^3b $带有一般角度
Tilings of the sphere by congruent quadrilaterals III: edge combination $a^3b$ with general angles
论文作者
论文摘要
一致的四边形通过一致的四个论文完全分类的球体的边缘到边缘砖。最后一个对$ a^3b $ - quadriliallals的情况进行了分类：有一定的角度：$ 1 $ - 参数四边形的家族，承认$ 2 $ - 莱er地球地图瓷砖与其基本的翻转修改，在额外的状态下，以及$ 5 $ sporadic sporadic Quadrialselals，每次都要进行特殊的费用。最终提供了完整分类的摘要。
Edge-to-edge tilings of the sphere by congruent quadrilaterals are completely classified in a series of three papers. This last one classifies the case of $a^3b$-quadrilaterals with some irrational angle: there are a sequence of $1$-parameter families of quadrilaterals admitting $2$-layer earth map tilings together with their basic flip modifications under extra condition, and $5$ sporadic quadrilaterals each admitting a special tiling. A summary of the full classification is presented in the end.
