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Math Help - Unit cube questions

  1. #1
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    Post Unit cube questions

    The unit cube Rn can be defined as:
    Qn={(x1,x2,...,xn) in Rn | 0<xi<1, i=1,2,...,n)}

    The vertices of Qn are points of the form (x1,...,xn) where each xi is either 0 or 1. An edge of Qn is a straight line joining two vertices that are a unit distance apart.

    a) Draw a sketch of Q1, Q2 and Q3
    b) Derive a formula for the number of edges in Qn
    c) Check your formula for Q1, Q2 and Q3
    d) How many edges are there in Q11?

    Help me guys, I don't have any clue how to solve this, any response will be much appriciated
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  2. #2
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    Quote Originally Posted by pdnhan View Post
    The unit cube Rn can be defined as:
    Qn={(x1,x2,...,xn) in Rn | 0<xi<1, i=1,2,...,n)}

    The vertices of Qn are points of the form (x1,...,xn) where each xi is either 0 or 1. An edge of Qn is a straight line joining two vertices that are a unit distance apart.

    a) Draw a sketch of Q1, Q2 and Q3
    b) Derive a formula for the number of edges in Qn
    c) Check your formula for Q1, Q2 and Q3
    d) How many edges are there in Q11?

    Help me guys, I don't have any clue how to solve this, any response will be much appriciated
    Have a look here: Hypercube graph - Wikipedia, the free encyclopedia
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  3. #3
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    Quote Originally Posted by earboth View Post
    thanks a lot man
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