I’m trying extremely hard to come up with a polyhedral design no one has ever seen before. I think I might have found one — possibly even two.
To make this, I drew a point with 360 rays coming from it, using Geometer’s Sketchpad. I then took a screenshot of that, and projected it onto each face of a rhombic triacontahedron. Two versions are presented here — one where the images appear to rotate, and one where they don’t. I sincerely hope you are seeing these for the first time.
I could not have made these without Stella 4d: Polyhedron Navigator, which you can try for yourself — for free — at this website. It’s simply the best program out there for making polyhedral images.