With 92 dodecahedra, if you arrange them just right, you can make a model of a rhombic triacontahedron:
For purposes of comparison, here is what the rhombic triacontahedron normally looks like:
Also, referring back to the first model shown, here is a picture of just one of the red rhombi-made-of-dodecahedra.
The first polyhedron shown in this post has an interesting dual, as well. Here it is, colored by face-type (position within the overall shape):
Here is another view of the dual, colored by number of edges per face.
Here’s one more view of the dual, in “rainbow color mode.”
Returning to the original model, at the top of this post, here’s what it looks like, if colored by face type:
Here’s one more view, in “rainbow color mode.”
All of these images were created using Stella 4d, a program you can buy, or try for free, right here.
RobertLovesPi.net 
Simply lovely, Robert.
Leslie
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Thanks! These were fun to make.
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Hi Robert,
I am in the process of making a rhombic triacontahedron with edges substituted for dodecahedra entirely out of spaghetti and hot glue, with inspiration from the absolutely lovely shapes that you post on your blog. Each side length is half an inch and I am trying to calculate just how much spaghetti I am going to need for this project. My estimate was about 80 feet, but I am unsure of how many sides are on this monster. Can you offer me any assistance? Thank you so much and please make more shapes like this in the future, they are beyond beautiful.
-Ian
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Good luck! I wish I could help more, but I’ve never done anything like that.
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