Is there a general formula for the total number of ways to paint a great rhombicosadodecahedron using n colors? What about for the total number of unique ways?
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Wow. What a question! Might be a good idea to put any preliminary work or thoughts of yours here. – The Count Jan 24 '17 at 17:11
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Preliminary thoughts? Well I'd start off by considering all of the symmetries and in fact, I have been considering all of the symmetries - but a general formula does not come to mind. – Will Jan 24 '17 at 17:22
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There is. It's the chromatic polynomial: https://en.wikipedia.org/wiki/Chromatic_polynomial . But I don't know how to calculate it. – Michael Lugo Jan 24 '17 at 17:34