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)
“Work is a responsibility most adults assume, a burden at times, a complication, but also a challenge that, like children, requires enormous energy and that holds the potential for qualitative, as well as quantitative, rewards. Isn’t this the only constructive perspective for women who have no choice but to work? And isn’t it a more healthy attitude for women writhing with guilt because they choose to compound the challenges of motherhood with work they enjoy?”
—Melinda M. Marshall (20th century)