Rhombo-hexagonal dodecahedron
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| Rhombo-hexagonal dodecahedron | |
|---|---|
 |
|
| Type | Dodecahedron |
| Faces | 8 rhombi 4 hexagons |
| Edges | 28 |
| Vertices | 18 |
| Vertex configuration | (8) 4.6.6 (8) 4.4.6 (2) 4.4.4.4 |
| Symmetry group | D4h |
| Dual polyhedron | - |
| Properties | convex, Zonohedron |
The rhombo-hexagonal dodecahedron is a convex polyhedron with 8 rhombic and 4 equilateral hexagonal faces.
It is also called an elongated dodecahedron and extended rhombic dodecahedron because it is related to the rhombic dodecahedron by expanding four rhombic faces of the rhombic dodecahedron into hexagons.
- It can tesselate all space by translations.
- It is the Wigner-Seitz cell for certain body-centered tetragonal lattices.
[edit] External links
- Weisstein, Eric W., "Space-filling polyhedron" from MathWorld.
- Weisstein, Eric W., "Elongated dodecahedron" from MathWorld.
- [1] Uniform space-filling using only rhombo-hexagonal dodecahedra
- VRML Model [2]
[edit] References
- Williams, Robert (1979). The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. ISBN 0-486-23729-X. p169
![[1]](http://www.nanomedicine.com/NMI/Figures/5.7.jpg){kind=link}