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The rhombo-hexagonal dodecahedron is a convex polyhedron with 8 rhombic and 4 equilateral hexagonal faces.
It is also called a elongated dodecahedron and extended rhombic dodecahedron.
It is related to the rhombic dodecahedron by expanding four rhombic faces of the rhombic dodecahedron into hexagons.
It is also related to the cube. It can be seen as a cube, with two opposite faces divided into a 2x2 square grid, and then 'puffing' it out into a more spherical volume.
Like the rhombic dodecahedron it can tessellate space all by itself by translations. This packing is like a cubic lattice, except that alternate layers are translated.
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"Rhombo-hexagonal dodecahedron"