Credit where credit is due:
I found the eclipse picture with a Google-search.
The mandalas are the one in the previous post here (“Seventeen Circles”). I made it using Geometer’s Sketchpad and MS-Paint.
I used software called Stella 4d to assemble this onto the chosen polyhedron, and make the animated .gif file you see here. This software is available at http://www.software3d.com/stella.php, with a free trial download available.