Great Sphere

The great sphere on the surface of a Hypersphere is the 3-D analog of the Great Circle on the surface of a Sphere. Let $2h$ be the number of reflecting Spheres, and let great spheres divide a Hypersphere into $g$ 4-D Tetrahedra. Then for the Polytope with Schläfli Symbol $\{p, q, r\}$,

$${64 h\over g}=12-p-2q-r+{4\over p}+{4\over r}.$$

See also Great Circle