The faces project onto regular spherical polygons which exactly cover the sphere.

This result was extended by for spherical polygons of edge length smaller than 2π.

The cut surface or vertex figure is thus a spherical polygon marked on this sphere.

It can be used for use in visualizing spherical polygons (especially triangles) showing the relationships between the sides and the angles.

Consider an N-sided spherical polygon and let A denote the n-th interior angle.

Spherical polygons play an important role in cartography (map making) and in Wythoff's construction of the uniform polyhedra.

A spherical polygon is a circuit of arcs of great circles (sides) and vertices on the surface of a sphere.

Filled with wind, the sail has a roughly spherical polygon shape and if the shape is stable, then the location of centre of effort is stable.

A spherical polygon on the surface of the sphere is defined by a number of great circle arcs that are the intersection of the surface with planes through the centre of the sphere.

In mathematics, a spherical polyhedron or spherical tiling is a tiling of the sphere in which the surface is divided or partitioned by great arcs into bounded regions called spherical polygons.

Spherical trigonometry is the branch of spherical geometry that deals with the relationships between trigonometric functions of the sides and angles of the spherical polygons (especially spherical triangles) defined by a number of intersecting great circles on the sphere.