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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.

The square antiprism is the antiprism with square bases whose dual is the tetragonal trapezohedron. The square antiprism has 10 faces. The square antiprism with unit edge ...

A number of attractive cube 6-compounds can be constructed. A first (left figures) is obtained by combining six cubes, each rotated by 1/6 of a turn about the line joining ...