This is the octahemioctahedron, which is one of the uniform polyhedra. It has twelve faces: eight equilateral triangles, and four regular hexagons. The hexagons pass through the center of the polyhedron.

Here’s the first stellation of this polyhedron, colored by face type.

Here’s a second view of this first stellation, colored by face, with parallel faces given the same color.

Finally, here’s this first stellation in “rainbow color mode.”

I used Stella 4d: Polyhedron Navigator to make these images. You can try this program for free at http://www.software3d.com/Stella.php.