A polyhedral compound is a polyhedron that is itself composed of several other polyhedra sharing a common centre. They are the three-dimensional analogs of polygonal compounds such as the hexagram.
Neighbouring vertices of a compound can be connected to form a convex polyhedron called the convex hull. The compound is a facetting of the convex hull.
Another convex polyhedron is formed by the small central space common to all members of the compound. This polyhedron can be considered the core for a set of stellations including this compound. (See List of Wenninger polyhedron models for these compounds and more stellations.)
Read more about Polyhedral Compound: Regular Compounds, Dual-regular Compounds, Uniform Compounds, Other Compounds, Group Theory
Famous quotes containing the words polyhedral and/or compound:
“O hideous little bat, the size of snot,
With polyhedral eye and shabby clothes,”
—Karl Shapiro (b. 1913)
“We are all aware that speech, like chemistry, has a structure. There is a limited set of elements—vowels and consonants—and these are combined to produce words which, in turn, compound into sentences.”
—Roger Brown (b. 1925)