Tilings of the sphere with right triangles. II: The \((1,3,2)\), \((0,2,n)\) subfamily (Q2500968)

Summary: Sommerville and Davies classified the spherical triangles that can tile the sphere in an edge-to-edge fashion. Relaxing this condition yields other triangles, which tile the sphere but have some tiles intersecting in partial edges. This paper shows that no right triangles in a certain subfamily can tile the sphere, although multilayered tilings are possible.