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

Jinjin Liang, Yixi Liao, Wenchuan Hu +1

We classify edge-to-edge tilings of the sphere by congruent pentagons with the edge combination $a^{4}b$ and with rational angles in degree: they are a one-parameter family of symmet…