The central small stellated dodecahedron is augmented on two opposite star-faces by additional small stellated dodecahedra.

I made this using Stella 4d: Polyhedron Navigator, available at http://www.software3d.com/Stella.php.
The central small stellated dodecahedron is augmented on two opposite star-faces by additional small stellated dodecahedra.

I made this using Stella 4d: Polyhedron Navigator, available at http://www.software3d.com/Stella.php.

This was made using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.

This was made using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.























All of these polyhedra were made using Stella 4d: Polyhedron Navigator. If you’d like to try this program yourself, simply visit http://www.software3d.com/Stella.php, where a free trial download is available.

This is one of many possible facetings of the truncated icosahedron. I made it using Stella 4d, which you can try for yourself at this website: http://www.software3d.com/Stella.php.

I made this polyhedron using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.

I made this using Stella 4d, which is available at http://www.software3d.com/Stella.php.
These were made using Stella 4d, which may be tried for free at http://www.software3d.com/Stella.php.

This polyhedron has 92 faces: twelve regular pentadecagons, twenty equilateral triangles, and sixty isosceles triangles, each with a vertex angle of ~42.5°. Its first stellation appears below.

Both models were created using Stella 4d, software you can try for yourself at http://www.software3d.com/Stella.php.