The tessellations of the faces of this rhombic triacontahedron first appeared in my last post here. For putting the whole thing together and creating this rotating .gif, I used a program called Stella 4d. If you want to, you can try Stella for free at this website.
RobertLovesPi.net 
I like that some of the vertices have a five-pointed star around them, which is a slightly unusual shape.
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what
the
heck
is
this
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It’s a decorated rhombic triacontahedron.
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