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The dual polyhedron of the small icosihemidodecahedron U_(49) and Wenninger dual W_(89). When rendered, the small icosihemidodecacron and small dodecahemidodecacron appear ...

The dual polyhedron of the small rhombidodecahedron and Wenninger model W_(74).

The dual polyhedron of the small rhombihexahedron U_(18) and Wenninger dual W_(86)

The dual polyhedron of the truncated great dodecahedron U_(37) and Wenninger dual W_(75).

A polyhedron with extra triangular faces, given by the Schläfli symbol s{p; q}.

The south pole is the point on a sphere with minimum z-coordinate for a given coordinate system. For a rotating sphere like the Earth, the natural coordinate system is ...

Find the tunnel between two points A and B on a gravitating sphere which gives the shortest transit time under the force of gravity. Assume the sphere to be nonrotating, of ...

A spherical shell is a generalization of an annulus to three dimensions. A spherical shell is therefore the region between two concentric spheres of differing radii. The ...

The only irreducible spherical simplexes generated by reflection are A_n (n>=1), B_n (n>=4), C_n (n>=2), D_2^p (p>=5), E_6, E_7, E_8, F_4, G_3, and G_4. The only irreducible ...

A spheroidal section is the curve formed by the intersection of a plane with a spheroid. A spheroidal section is either a circle (for planes parallel to an equator, i.e., ...