I'm looking for an answer to the following question:
Given a knot in $\mathbb{R^{3}}$ can we find a piecewiselinear diagram of it wich is minimal (has a minimal number of verticies)?
I'm looking for an answer to the following question: Given a knot in $\mathbb{R^{3}}$ can we find a piecewiselinear diagram of it wich is minimal (has a minimal number of verticies)? 

closed as unclear what you're asking by Benoît Kloeckner, Stefan Kohl, Ricardo Andrade, Daniel Moskovich, Theo JohnsonFreyd Mar 2 '14 at 2:13Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question.If this question can be reworded to fit the rules in the help center, please edit the question. 

