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While early soccer balls were constructed in a number of ways, a fairly stadard 32-panel ball was designed by Danish national team goalkeeer Eigil Nielsen in 1962. This was ...

The pentagonal hexecontahedral graph is the Archimedean dual graph which is the skeleton of the pentagonal hexecontahedron. It is implemented in the Wolfram Language as ...

Attractive compounds can be constructed from the cube 3-compounds and their octahedron 3-compound duals. One is illustrated above. This compound will be implemented in a ...

Using a set of corners of a solid that lie in a plane to form the polygon vertices of a new polygon is called faceting. Such polygons may outline new faces that join to ...

The dual of the great dodecahemicosahedron U_(65) and Wenninger dual W_(102). When rendered, the small dodecahemicosacron and great dodecahemicosacron appear the same.

The dual of the great dodecahemidodecahedron U_(70) and Wenninger dual W_(107). When rendered, the great dodecahemidodecacron and great icosihemidodecacron look the same, ...

The dual of the great icosihemidodecahedron U_(71) and Wenninger dual W_(106). When rendered, the great dodecahemidodecacron and great icosihemidodecacron look the same, both ...

800 The dual of the great rhombidodecahedron U_(73) and Wenninger dual W_(109).

A negative-height (inward-pointing) pyramid used in augmentation. The term was introduced by B. Grünbaum.

A planar graph corresponding to polyhedra skeletons. The polyhedral graphs are special cases.