A zonohedron is a polyhedron in which every face is centrally symmetric. Furthermore, for every pair of the lines, there is a pair of opposite faces whose sides lie in those directions.
Other propoerties of a zonohedron:
They tend to have diamond (rhombic) shaped faces
All edges are the same length.
Every face has another one the same opposite it, if you draw a line through the center of any face then through the center of the polyhedron you would would continue the line through the center of another face the same shape.