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Math Help - Euler's Characteristic Formula

  1. #1
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    Euler's Characteristic Formula

    I have proved Euler's Characteristic in my discrete lecture last semester in my discrete class simply by induction on F, but this was only for planar graphs, how do you extend this to 3D shapes? Do we have that each 3D shape can be flattened into a planar graph? sorry if this is a stupid question but I'm kind of lost,

    Thanks for any help
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  2. #2
    MHF Contributor chiph588@'s Avatar
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    Quote Originally Posted by hmmmm View Post
    I have proved Euler's Characteristic in my discrete lecture last semester in my discrete class simply by induction on F, but this was only for planar graphs, how do you extend this to 3D shapes? Do we have that each 3D shape can be flattened into a planar graph? sorry if this is a stupid question but I'm kind of lost,

    Thanks for any help
    Maybe this will help you: Regular Polyhedra
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