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Math Help - Parametrization of a polygon

  1. #1
    DBS
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    Parametrization of a polygon

    I'm asked to parametrize the trajectory of an object that goes from p0 to p1 in a straight line, then from p1 to p2 in a straight line then finally from p2 to p3 in a straight line. This has to be done in the form c:[a,b]-->Rn (a curve in the nth dimension) and off course p0, p1, p2, p3 are points of Rn.

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    Quote Originally Posted by DBS View Post
    I'm asked to parametrize the trajectory of an object that goes from p0 to p1 in a straight line, then from p1 to p2 in a straight line then finally from p2 to p3 in a straight line. This has to be done in the form c:[a,b]-->Rn (a curve in the nth dimension) and off course p0, p1, p2, p3 are points of Rn.
    I am not sure that I understand the question.
    That said, \bigcup\limits_{n = 1}^2 {\left\{ {P_n  + t\left( {P_{n + 1}  - P_n } \right):0 \leqslant t \leqslant 1} \right\}} is the union of three line segments.
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