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Thread: Angle dodecahedron edges make when vertice "equipositioned" against a plane

  1. #1
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    Angle dodecahedron edges make when vertice "equipositioned" against a plane

    Hi all

    I have a problem I cannot solve.

    Maybe you can help me.

    My words are probably not technically correct but I will try to explain what I am after as best I can.

    I am making a dodecahedron and I want to know the angle the three edges make when a vertex is positioned "symmetrically perpendicular" to a plane.

    Another way of explaining this is to imagine a dodecahedron spinning "symmetrically" on a vertex. What is the angle the three edges converging at the vertex make with the plane? It will be one angle as it is spinning "symmetrically".

    Many thanks to you all.

    Michael
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  2. #2
    MHF Contributor
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    Re: Angle dodecahedron edges make when vertice "equipositioned" against a plane

    If it is an arbitrary symmetric dodecahedron, it could be any angle. If it is a regular dodecahedron, the interior angles are each 150 degrees. Using geometry, you should be able to figure out the angle with the plane.
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