Every knot has a description as a polygon, determined by a finite sequence of vertices in three-space and formed by joining successive vertices by line segments. The stick number of a knot is the minimum number of vertices in such a polygonal description of the knot. Initial data for the table, through 9 crossings, came from , where the work of , , and  is credited for the original computations. The references include many values that do not appear in that original source.
 Calvo, J. A., Geometric Knot Theory, Ph.D. Thesis, Univ. Calif. Santa Barbara, 1998.
(For polygons with up to 9 edges.)
 Cromwell, P., Knots and Links, Cambridge University Press, 2004.
 Eddy, T. D. and Shonkwiler, C., "New stick number Bounds from random sampling of confined polygons," Arxiv preprint.
 Negami, S., "Ramsey theorems for knots, links and spatial graphs," Trans. Amer. Math. Soc. 324 no. 2 (1991), 527-541.
 Randell, R., "Invariants of piecewise-linear knots," Knot theory (Warsaw, 1995), 307-319, Banach Center Publ.,
42, Polish Acad. Sci., Warsaw, 1998.
(For polygons with up to 8 edges.)