
The octagons appear as four-pointed stars, with the narrowest angles measuring 12 degrees, and the next-narrowest measuring 24 degrees.
To make this polyhedron, I started with a great dodecahedron, and then augmented each of its facelets with a prism, using a program called Stella 4d. You can try this program for free at this website.
I made this using Stella 4d, which you can try for free right here.
I made this using Stella 4d, which yo can try for free at http://www.software3d.com/Stella.php.