Topic summary
Spherical tiling

Extracted from the Wikipedia article Spherical polyhedron.
Composed and magic triangle tilings
The spherical tiling featuring a magical triangle, and a complementary tile on the sphere, is also a non edge-to-edge tiling featuring regular polygons; this corresponds to the magic triangle tiling technically in its own class. It is the only non-edge-to-edge spherical tiling that contains a polygon with angle greater than (as the complementary tile, the next-largest angle is hemispheric).