Thank you so much. I've seen the U30 reference in two locations. One on Mathworld and one on the Antiprism (for Linux) site. That's why I used that. I had no idea there were more than one Uniform Polyhedron references. Now I am 3 times educated. The right syntax and more than one alternative.
Thank you for that.
Using Blender I've been able to accomplish much the same by using the knife tool to create the stars on a dodecahedron, then again (the knife tool) on the diamonds created in the process to create faces and dividing edges, then selecting the edges created and scaling them inward. Not exact but, a fairly close approximate. Also somewhat time consuming.
Seeing the result on Mathworld, and having Mathematica as well, seemed like a preferable alternative. The syntax is what hung me up. And you resolved that.
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