Gauss Map
The Gauss map is a function from an Orientable Surface in Euclidean Space to a Sphere. It associates toevery point on the surface its oriented Normal Vector. For surfaces in 3-space, the Gauss map of the surface hasDegree given by half the Euler Characteristic of the surface
which works only for Orientable Surfaces.See also Curvature, Nirenberg's Conjecture, Patch
References
Gray, A. ``The Local Gauss Map'' and ``The Gauss Map via Mathematica.'' §10.3 and §15.3 in Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 193-194 and 310-316, 1993.
- Great Retrosnub Icosidodecahedron
- Great Rhombicosidodecahedron (Archimedean)
- Great Rhombicosidodecahedron (Uniform)
- Great Rhombic Triacontahedron
- Great Rhombicuboctahedron (Archimedean)
- Great Rhombicuboctahedron (Uniform)
- Great Rhombidodecacron
- Great Rhombidodecahedron
- Great Rhombihexacron
- Great Rhombihexahedron
- Great Snub Dodecicosidodecahedron
- Great Snub Icosidodecahedron
- Great Sphere
- Great Stellapentakis Dodecahedron
- Great Stellated Dodecahedron
- Great Stellated Triacontahedron
- Great Stellated Truncated Dodecahedron
- Great Triakis Icosahedron
- Great Triakis Octahedron
- Great Triambic Icosahedron
- Great Truncated Cuboctahedron
- Great Truncated Icosahedron
- Great Truncated Icosidodecahedron
- Grebe Point
- Greedy Algorithm