Zonohedron
A convex Polyhedron whose faces are Parallel-sided 
-gons. There exist 
Parallelograms in a nonsingular zonohedron, where 
is the number of different directions inwhich Edges occur (Ball and Coxeter 1987, pp. 141-144). Zonohedra include the Cube,Enneacontahedron, Great Rhombic Triacontahedron, Medial Rhombic Triacontahedron, RhombicDodecahedron, Rhombic Icosahedron, Rhombic Triacontahedron, Rhombohedron, and TruncatedCuboctahedron, as well as the entire class of Parallelepipeds.
Regular zonohedra have bands of Parallelograms which form equators and are called``Zones.'' Every convex polyhedron bounded solely by Parallelograms is a zonohedron(Coxeter 1973, p. 27). Plate II (following p. 32 of Coxeter 1973) illustrates some equilateral zonohedra. Equilateralzonohedra can be regarded as 3-dimensional projections of -D Hypercubes (Ball and Coxeter 1987).
References
Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, pp. 141-144, 1987. Coxeter, H. S. M. ``Zonohedra.'' §2.8 in Regular Polytopes, 3rd ed. New York: Dover, pp. 27-30, 1973. Coxeter, H. S. M. Ch. 4 in Twelve Geometric Essays. Carbondale, IL: Southern Illinois University Press, 1968. Eppstein, D. ``Ukrainian Easter Egg.''http://www.ics.uci.edu/~eppstein/junkyard/ukraine/. Fedorov, E. S. Zeitschr. Krystallographie und Mineralogie 21, 689, 1893. Fedorov, E.W. Nachala Ucheniya o Figurakh. Leningrad, 1953. Hart, G. W. ``Zonohedra.'' http://www.li.net/~george/virtual-polyhedra/zonohedra-info.html.
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