I'm looking for an answer to the following question:

Given a knot in $\mathbb{R^{3}}$ can we find a piecewise-linear diagram of it wich is minimal (has a minimal number of verticies)?

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I'm looking for an answer to the following question:

Given a knot in $\mathbb{R^{3}}$ can we find a piecewise-linear diagram of it wich is minimal (has a minimal number of verticies)?

Please 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.

stick numberof a knot: "Which knots' stick numbers are twice their crossing numbers?" mathoverflow.net/questions/39870 , "Lattice Stick Number vs. Stick Number of Knot" mathoverflow.net/questions/28241 , or check out the "stick-knots" MO tag. $\endgroup$ – Joseph O'Rourke Jun 23 '12 at 17:24