This is the thrid stellation of the rhombic dodecahedron. Its facelets are 24 rhombi and 24 “chevron” hexagons. Here’s another view, colored by individual face, with parallel faces having the same color.

Finally, here’s one in “rainbow color mode.”

I made these images using Stella 4d: Polyhedron Navigator, which you can try for free at http://www.software3d.com/Stella.php.