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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

© 1996-9 Eric W. Weisstein