The four polyhedra in the Zome structure above are well-known. Two are Platonic solids, one is an Archimedean solid, and one is a Catalan solid. When you think you’ve found all four, you can scroll down to check your answers.
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The four polyhedra are the icosahedron (blue), the dodecahedron (blue), the icosidodecahedron (blue), and the rhombic triacontahedron (red). Also, if you’d like to try Zome for yourself, or your children, the website to visit is http://www.zometool.com.

This is why I haven’t built myself yet. I will give it a shot and see what I see. Thanks for the inspiration as always.
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