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The polyhedron resulting from letting each sphere in a sphere packing expand uniformly until it touches its neighbors on flat faces.

Let each sphere in a sphere packing expand uniformly until it touches its neighbors on flat faces. Call the resulting polyhedron the local cell. Then the local density is ...

The conjecture that the maximum local density is given by rho_(dodecahedron).

The azimuthal coordinate on the surface of a sphere (theta in spherical coordinates) or on a spheroid (in prolate or oblate spheroidal coordinates). Longitude is defined such ...

The dual of the rhombidodecadodecahedron U_(38) and Wenninger dual W_(76).

The dual of the snub icosidodecadodecahedron U_(44) and Wenninger dual W_(112).

The dual of the icosidodecadodecahedron and Wenninger dual W_(83).

The dual of the inverted snub dodecadodecahedron U_(60) and Wenninger dual W_(114).

The dual of the snub dodecadodecahedron U_(40) and Wenninger dual W_(111).

A line of constant longitude on a spheroid (or sphere). More generally, a meridian of a surface of revolution is the intersection of the surface with a plane containing the ...