Tilings of the sphere by congruent pentagons IV: Edge combination $a^{4}b$ with general angles

Junjie Shu, Yixi Liao, Erxiao Wang

We classify edge-to-edge tilings of the sphere by congruent pentagons with the edge combination $a^{4}b$ and with any irrational angle in degree: they are three $1$-parameter familie…