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Normals of a Dodecahedron

  1. Aug 28, 2012 #1
    Hello guys,

    I need the normals of a Dodecahedron (fully symmetric 12 facets' polyhedron) given in rational numbers. I got tired searching the internet for that, so I expect something like:

    {-Sqrt[1 + 2/Sqrt[5]], 0, 1/2 Sqrt[1/10 (5 - Sqrt[5])]]}

    I tried Mathematica, but it gives 20 Faces for a Dodecahedron!!! Apparently there are repeated facets and it uses some systematic way to draw the Dodecahedron. The code I use to get the Facets in Mathematica is:

    PolyhedronData["Dodecahedron", "Faces"]

    Any help is highly appreciated.

    Thanks.
     
  2. jcsd
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