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Math Help - euler characteristic formula

  1. #1
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    euler characteristic formula

    Consider a simple convex polyhedron ∆ in R^3 with 2010 edges.
    part 1: How many vertices are there in ∆?
    part 2: How many faces are there in ∆?
    (Hint: try do part 1 by hands and then use the Euler characteristic formula for part 2)

    I am not too sure how to start this plz help me!
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  2. #2
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    Quote Originally Posted by kkjs358 View Post
    Consider a simple convex polyhedron ∆ in R^3 with 2010 edges.
    part 1: How many vertices are there in ∆? <<<<< at least 3 edges form one vertex. BUT: Each edge is used twice to form different vertices.
    part 2: How many faces are there in ∆?
    (Hint: try do part 1 by hands and then use the Euler characteristic formula for part 2)

    I am not too sure how to start this plz help me!
    Additionally: Have a look here: Euler characteristic - Wikipedia, the free encyclopedia
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