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elongated dodecahedron
In geometry, the elongated dodecahedron,〔Coxeter (1973) p.257〕 extended rhombic dodecahedron, rhombo-hexagonal dodecahedron〔Williamson (1979) p169〕 or hexarhombic dodecahedron〔http://www.matha.mathematik.uni-dortmund.de/~thilo/contents/fedorov.htm〕 is a convex dodecahedron with 8 rhombic and 4 hexagonal faces. The hexagons can be made equilateral, or regular depending on the shape of the rhombi. It can be seen as constructed from a rhombic dodecahedron elongated by a square prism. Along with the rhombic dodecahedron, it is a space-filling polyhedron.
== Tessellation ==
* It can tesselate all space by translations.
* It is the Wigner-Seitz cell for certain body-centered tetragonal lattices.
This is related to the rhombic dodecahedral honeycomb with an elongation of zero. Projected normal to the elongation direction, the honeycomb looks like a square tiling with the rhombi projected into squares.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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