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Math Help - Polyhedrons!?

  1. #1
    Newbie zenith20's Avatar
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    Question Polyhedrons!?

    I was wondering if there's any formula to calculate the number of edges and vertices of a polyhedrons? like Dodecahedron, Icosahedrons, (or generally for polyhedrons with a certain number of faces)
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  2. #2
    MHF Contributor undefined's Avatar
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    Quote Originally Posted by zenith20 View Post
    I was wondering if there's any formula to calculate the number of edges and vertices of a polyhedrons? like Dodecahedron, Icosahedrons, (or generally for polyhedrons with a certain number of faces)
    The number of faces is not enough to determine the number of edges and vertices. However, we have Euler's formula

    Euler's Formula

    Simple example I came up with on paper to illustrate how # faces does not uniquely determine # edges and # vertices.

    1) square pyramid

    2) a wedge you'd use to hold a door open

    Both have five faces but number of edges and vertices are different.
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  3. #3
    Newbie zenith20's Avatar
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    Thanks for your help. so we need 2 of them at least!
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