Suppose you take a central dodecahedron, and then augment each of its faces with a dodecahedron. That would be an augmented dodecahedron. If you augment this figure with another layer of dodecahedra, then you have the reaugmented dodecahedron:
After another level of such augmentation, you get this — the metareaugmented dodecahedron:
Both these images were created using Stella 4d, which you can try here.