Twisted Rhombic Dodecahedron:

This image is based on a rhombic dodecahedron (constructed from twelve rhombuses as opposed to twelve pentagons in a regular dodecahedron).  Not a shape that photographs well, as the eye tends to want to interpret the rhombic faces as squares, from some angles the base part looks exactly like the corner view of a cube.  Here, I have modified the faces with spiraling fractal copies of themselves.
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