Editing Dodecahedron (section)

==Rhombic dodecahedron==
[[File:Rhombicdodecahedron.jpg|160px|thumb|Rhombic dodecahedron]]
The ''[[rhombic dodecahedron]]'' is a [[zonohedron]] with twelve rhombic faces and octahedral symmetry. It is dual to the [[quasiregular polyhedron|quasiregular]] [[cuboctahedron]] (an [[Archimedean solid]]) and occurs in nature as a crystal form. The rhombic dodecahedron packs together to fill space.

The ''rhombic dodecahedron'' can be seen as a degenerate [[pyritohedron]] where the 6 special edges have been reduced to zero length, reducing the pentagons into rhombic faces.

The rhombic dodecahedron has several [[stellation]]s, the [[First stellation of rhombic dodecahedron|first of which]] is also a [[rhombic dodecahedron#Parallelohedron|parallelohedral spacefiller]].

Another important rhombic dodecahedron, the [[Bilinski dodecahedron]], has twelve faces congruent to those of the [[rhombic triacontahedron]], i.e. the diagonals are in the ratio of the [[golden ratio]]. It is also a [[zonohedron]] and was described by [[Stanko Bilinski|Bilinski]] in 1960.<ref>Hafner, I. and Zitko, T. [http://www.mi.sanu.ac.rs/vismath/hafner2/IntrodRhombic.html Introduction to golden rhombic polyhedra]. Faculty of Electrical Engineering, [[University of Ljubljana]], Slovenia.</ref> This figure is another spacefiller, and can also occur in non-periodic [[honeycomb (geometry)|spacefilling]]s along with the rhombic triacontahedron, the rhombic icosahedron and rhombic hexahedra.<ref>{{cite journal|url=http://met.iisc.ernet.in/~lord/webfiles/tcq.html |author1=Lord, E. A. |author2=Ranganathan, S. |author3=Kulkarni, U. D. |title=Tilings, coverings, clusters and quasicrystals|journal=Curr. Sci. |volume=78 |year=2000|pages= 64–72}}</ref>