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)
“Rammed me in with foul shirts and smocks, socks, foul stockings, greasy napkins, that, Master Brook, there was the rankest compound of villainous smell that ever offended nostril.”
—William Shakespeare (1564–1616)