Reaugmenting the Dodecahedron

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:

The Reaugmented Dodeca

After another level of such augmentation, you get this — the metareaugmented dodecahedron:

The MetaReaugmented Dodeca

Both these images were created using Stella 4d, which you can try here.

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