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The prefix "icosidodeca" indicates
icosi = 20
do = 2
deca = 10
a 32 sided polyhedron.
However, a 32 sided polyhedron should be called a triacontadihedron: (30 + 2) rather than (20 + 12).
In my view, the use of Greek prefices is pretentious and is only useful for obfuscation and irritating your readers. I prefer the much simpler "32-hedron with rhombic faces". Clear and easy for anyone to understand.
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Rhombicosidodecahedron
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A Rhombicosidodecahedron. See the related link for more information.
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