The 48 vertices exist at two sets of 24, with a slightly different distance from its center.
The expansion operation from the rhombic dodecahedron can be seen in this animation: The expanded cuboctahedron can fill space along with a cuboctahedron, octahedron, and triangular prism.
This polyhedron can be dissected into a central rhombic dodecahedron surrounded by: 12 rhombic prisms, 8 tetrahedra, 6 square pyramids, and 24 triangular prisms.
[1] This toroid has 86 faces (8 triangles and 78 squares), 168 edges, and 62 vertices.
14 of the 62 vertices are on the interior, defining the removed central rhombic dodecahedron.