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An isozonohedron is a zonohedron whose faces consist of n(n-1) congruent rhombi (Fedorov 1953, pp. 256-266; Chilton and Coxeter 1963). The following table summarizes some of ...

A bistable eight-sided polyhedron discovered by Wunderlich and Schwabe (1986).

Finding the densest not necessarily periodic sphere packing.

A sphere is rigid.

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).