# Thread: Parametrization of a polygon

1. ## 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.

Thanks!

2. Originally Posted by DBS
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, $\displaystyle \bigcup\limits_{n = 1}^2 {\left\{ {P_n + t\left( {P_{n + 1} - P_n } \right):0 \leqslant t \leqslant 1} \right\}}$ is the union of three line segments.