Rhombic dodecahedron

The eight vertices where three faces meet at their obtuse angles have Cartesian coordinates:

The coordinates of the six vertices where four faces meet at their acute angles are:

The first stellation, often simply called the stellated rhombic dodecahedron, is well known. It can be seen as a rhombic dodecahedron with each face augmented by attaching a rhombic-based pyramid to it, with a pyramid height such that the sides lie in the face planes of the neighbouring faces:

Luke describes four more stellations: the second and third stellations (expanding outwards), one formed by removing the second from the third, and another by adding the original rhombic dodecahedron back to the previous one.