Rhombo-hexagonal dodecahedron
Encyclopedia
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.
Polyhedron
In elementary geometry a polyhedron is a geometric solid in three dimensions with flat faces and straight edges...
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
Rhombic dodecahedron
In geometry, the rhombic dodecahedron is a convex polyhedron with 12 rhombic faces. It is an Archimedean dual solid, or a Catalan solid. Its dual is the cuboctahedron.-Properties:...
by expanding four rhombic faces of the rhombic dodecahedron into hexagons.
- It can tesselate all space by translations.
- It is the Wigner-Seitz cellWigner-Seitz cellThe Wigner–Seitz cell, named after Eugene Wigner and Frederick Seitz, is a type of Voronoi cell used in the study of crystalline material in solid-state physics....
for certain body-centered tetragonal lattices.
External links
- http://www.nanomedicine.com/NMI/Figures/5.7.jpg Uniform space-filling using only rhombo-hexagonal dodecahedra
- VRMLVRMLVRML is a standard file format for representing 3-dimensional interactive vector graphics, designed particularly with the World Wide Web in mind...
Model http://www.georgehart.com/virtual-polyhedra/vrml/elongated_dodecahedron.wrl
