An isozonohedron is a zonohedron whose faces consist of 
congruent rhombi
(Fedorov 1953, pp. 256-266; Chilton and Coxeter 1963). The following table summarizes
some of the isozonohedra.
 | isozonohedron |
| 3 | rhombohedron (including the cube as a special case) |
| 4 | rhombic dodecahedron |
| 5 | rhombic icosahedron |
| 6 | rhombic triacontahedron |
The cases 
,
4, and 5 are polar zonohedra (Chilton and Coxeter
1963).
