One of the icosidodecahedra is in the center, and the others are attached to its twenty triangular faces.
Software credit: I used Stella 4d to build this. It is available at http://www.software3d.com/Stella.php.
Created using Stella 4d, available at http://www.software3d.com/Stella.php.
Created with Stella 4d, available at http://www.software3d.com/Stella.php.
Software credit: see Stella 4d, available (including a free trial download) at http://www.software3d.com/Stella.php.
I made this using Stella 4d, which you can try at http://www.software3d.com/Stella.php.
I made these using Stella 4d, which you can try at http://www.software3d.com/Stella.php. Here is its dual, also:
The picture above uses symmetry to divide the faces of this polyhedral cluster into color groups. This next one puts faces in the same color-group if and only if they are parallel.
Stellating this once yielded this result, again colored by face-type, like the first image here:
I made these using Stella 4d, which you can try at www.software3d.com/Stella.php.
RobertLovesPi.net 