Stick numbers for minimal stick knots

Data for these non-equilateral case resulted from my thesis work Interactive Topological Drawing (1998). See also data for minimal stick links. The equilateral data resulted from a collaboration with Eric Rawdon, published in a paper that appeared in Contemporary Mathematics. To view the knots in your browser window, click on the "3D model" links. This will load the knot in an interactive viewer (requires Java).

This data is "Perko corrected", that is, 10₁₆₁ and 10₁₆₂ are distinct knots.

Knot	Stick number	Equilateral Stick number	JavaView model (non-equilateral)	JavaView model (equilateral)
0₁	3	3	3D model	3D model
3₁	6	6	3D model	3D model
4₁	7	7	3D model	3D model
5₁	8	8	3D model	3D model
5₂	8	8	3D model	3D model
6₁	8	8	3D model	3D model
6₂	8	8	3D model	3D model
6₃	8	8	3D model	3D model
7₁	9	9	3D model	3D model
7₂	9	9	3D model	3D model
7₃	9	9	3D model	3D model
7₄	9	9	3D model	3D model
7₅	9	9	3D model	3D model
7₆	9	9	3D model	3D model
7₇	9	9	3D model	3D model
8₁	10	10	3D model	3D model
8₂	10	10	3D model	3D model
8₃	10	10	3D model	3D model
8₄	10	10	3D model	3D model
8₅	10	10	3D model	3D model
8₆	10	10	3D model	3D model
8₇	10	10	3D model	3D model
8₈	10	10	3D model	3D model
8₉	10	10	3D model	3D model
8₁₀	10	10	3D model	3D model
8₁₁	10	10	3D model	3D model
8₁₂	10	10	3D model	3D model
8₁₃	10	10	3D model	3D model
8₁₄	10	10	3D model	3D model
8₁₅	10	10	3D model	3D model
8₁₆	9	9	3D model	3D model
8₁₇	9	9	3D model	3D model
8₁₈	9	9	3D model	3D model
8₁₉	8	9	3D model	3D model
8₂₀	8	8	3D model	3D model
8₂₁	9	9	3D model	3D model
9₁	10	10	3D model	3D model
9₂	11	11	3D model	3D model
9₃	11	11	3D model	3D model
9₄	10	10	3D model	3D model
9₅	10	10	3D model	3D model
9₆	11	11	3D model	3D model
9₇	10	10	3D model	3D model
9₈	10	10	3D model	3D model
9₉	10	10	3D model	3D model
9₁₀	10	10	3D model	3D model
9₁₁	11	11	3D model	3D model
9₁₂	10	10	3D model	3D model
9₁₃	10	10	3D model	3D model
9₁₄	10	10	3D model	3D model
9₁₅	11	11	3D model	3D model
9₁₆	10	10	3D model	3D model
9₁₇	10	10	3D model	3D model
9₁₈	11	11	3D model	3D model
9₁₉	10	10	3D model	3D model
9₂₀	10	10	3D model	3D model
9₂₁	11	11	3D model	3D model
9₂₂	10	10	3D model	3D model
9₂₃	11	11	3D model	3D model
9₂₄	10	10	3D model	3D model
9₂₅	11	11	3D model	3D model
9₂₆	10	10	3D model	3D model
9₂₇	11	11	3D model	3D model
9₂₈	10	10	3D model	3D model
9₂₉	9	10	3D model	3D model
9₃₀	10	10	3D model	3D model
9₃₁	10	10	3D model	3D model
9₃₂	10	10	3D model	3D model
9₃₃	10	10	3D model	3D model
9₃₄	9	9	3D model	3D model
9₃₅	10	10	3D model	3D model
9₃₆	11	11	3D model	3D model
9₃₇	10	10	3D model	3D model
9₃₈	10	10	3D model	3D model
9₃₉	10	10	3D model	3D model
9₄₀	9	9	3D model	3D model
9₄₁	9	9	3D model	3D model
9₄₂	9	9	3D model	3D model
9₄₃	10	10	3D model	3D model
9₄₄	9	9	3D model	3D model
9₄₅	10	10	3D model	3D model
9₄₆	9	9	3D model	3D model
9₄₇	9	9	3D model	3D model
9₄₈	10	10	3D model	3D model
9₄₉	9	9	3D model	3D model
10₁	11	11	3D model	3D model
10₂	11	11	3D model	3D model
10₃	12	12	3D model	3D model
10₄	11	11	3D model	3D model
10₅	11	11	3D model	3D model
10₆	12	12	3D model	3D model
10₇	12	12	3D model	3D model
10₈	12	12	3D model	3D model
10₉	11	11	3D model	3D model
10₁₀	12	12	3D model	3D model
10₁₁	11	11	3D model	3D model
10₁₂	11	11	3D model	3D model
10₁₃	11	11	3D model	3D model
10₁₄	11	11	3D model	3D model
10₁₅	12	12	3D model	3D model
10₁₆	11	12	3D model	3D model
10₁₇	11	11	3D model	3D model
10₁₈	12	12	3D model	3D model
10₁₉	11	11	3D model	3D model
10₂₀	12	12	3D model	3D model
10₂₁	12	12	3D model	3D model
10₂₂	12	12	3D model	3D model
10₂₃	12	12	3D model	3D model
10₂₄	12	12	3D model	3D model
10₂₅	11	11	3D model	3D model
10₂₆	12	12	3D model	3D model
10₂₇	11	11	3D model	3D model
10₂₈	12	12	3D model	3D model
10₂₉	11	11	3D model	3D model
10₃₀	12	12	3D model	3D model
10₃₁	12	12	3D model	3D model
10₃₂	11	11	3D model	3D model
10₃₃	11	11	3D model	3D model
10₃₄	12	12	3D model	3D model
10₃₅	12	12	3D model	3D model
10₃₆	11	11	3D model	3D model
10₃₇	12	12	3D model	3D model
10₃₈	12	12	3D model	3D model
10₃₉	13	13	3D model	3D model
10₄₀	11	11	3D model	3D model
10₄₁	11	11	3D model	3D model
10₄₂	11	11	3D model	3D model
10₄₃	12	12	3D model	3D model
10₄₄	12	12	3D model	3D model
10₄₅	11	11	3D model	3D model
10₄₆	12	12	3D model	3D model
10₄₇	12	12	3D model	3D model
10₄₈	10	10	3D model	3D model
10₄₉	11	11	3D model	3D model
10₅₀	12	12	3D model	3D model
10₅₁	12	12	3D model	3D model
10₅₂	11	11	3D model	3D model
10₅₃	12	12	3D model	3D model
10₅₄	12	12	3D model	3D model
10₅₅	12	12	3D model	3D model
10₅₆	11	11	3D model	3D model
10₅₇	12	12	3D model	3D model
10₅₈	12	12	3D model	3D model
10₅₉	11	11	3D model	3D model
10₆₀	11	11	3D model	3D model
10₆₁	11	11	3D model	3D model
10₆₂	12	12	3D model	3D model
10₆₃	11	11	3D model	3D model
10₆₄	13	13	3D model	3D model
10₆₅	12	12	3D model	3D model
10₆₆	12	12	3D model	3D model
10₆₇	11	11	3D model	3D model
10₆₈	12	12	3D model	3D model
10₆₉	11	11	3D model	3D model
10₇₀	12	12	3D model	3D model
10₇₁	12	12	3D model	3D model
10₇₂	12	12	3D model	3D model
10₇₃	13	13	3D model	3D model
10₇₄	12	12	3D model	3D model
10₇₅	12	12	3D model	3D model
10₇₆	13	13	3D model	3D model
10₇₇	12	12	3D model	3D model
10₇₈	12	12	3D model	3D model
10₇₉	11	12	3D model	3D model
10₈₀	13	13	3D model	3D model
10₈₁	11	11	3D model	3D model
10₈₂	12	12	3D model	3D model
10₈₃	11	11	3D model	3D model
10₈₄	14	14	3D model	3D model
10₈₅	11	11	3D model	3D model
10₈₆	11	11	3D model	3D model
10₈₇	11	11	3D model	3D model
10₈₈	11	11	3D model	3D model
10₈₉	11	11	3D model	3D model
10₉₀	11	11	3D model	3D model
10₉₁	11	11	3D model	3D model
10₉₂	11	11	3D model	3D model
10₉₃	11	11	3D model	3D model
10₉₄	11	11	3D model	3D model
10₉₅	12	12	3D model	3D model
10₉₆	11	11	3D model	3D model
10₉₇	12	12	3D model	3D model
10₉₈	11	11	3D model	3D model
10₉₉	11	11	3D model	3D model
10₁₀₀	12	12	3D model	3D model
10₁₀₁	12	12	3D model	3D model
10₁₀₂	10	10	3D model	3D model
10₁₀₃	11	11	3D model	3D model
10₁₀₄	10	10	3D model	3D model
10₁₀₅	12	12	3D model	3D model
10₁₀₆	11	11	3D model	3D model
10₁₀₇	10	11	3D model	3D model
10₁₀₈	10	10	3D model	3D model
10₁₀₉	10	10	3D model	3D model
10₁₁₀	12	12	3D model	3D model
10₁₁₁	11	11	3D model	3D model
10₁₁₂	11	11	3D model	3D model
10₁₁₃	10	10	3D model	3D model
10₁₁₄	10	10	3D model	3D model
10₁₁₅	11	11	3D model	3D model
10₁₁₆	10	10	3D model	3D model
10₁₁₇	12	12	3D model	3D model
10₁₁₈	11	11	3D model	3D model
10₁₁₉	10	11	3D model	3D model
10₁₂₀	10	10	3D model	3D model
10₁₂₁	10	10	3D model	3D model
10₁₂₂	10	10	3D model	3D model
10₁₂₃	11	11	3D model	3D model
10₁₂₄	10	10	3D model	3D model
10₁₂₅	10	10	3D model	3D model
10₁₂₆	11	11	3D model	3D model
10₁₂₇	10	10	3D model	3D model
10₁₂₈	10	10	3D model	3D model
10₁₂₉	10	10	3D model	3D model
10₁₃₀	10	10	3D model	3D model
10₁₃₁	11	11	3D model	3D model
10₁₃₂	10	10	3D model	3D model
10₁₃₃	11	11	3D model	3D model
10₁₃₄	10	10	3D model	3D model
10₁₃₅	10	10	3D model	3D model
10₁₃₆	10	10	3D model	3D model
10₁₃₇	11	11	3D model	3D model
10₁₃₈	11	11	3D model	3D model
10₁₃₉	10	10	3D model	3D model
10₁₄₀	10	10	3D model	3D model
10₁₄₁	10	10	3D model	3D model
10₁₄₂	11	11	3D model	3D model
10₁₄₃	11	11	3D model	3D model
10₁₄₄	10	10	3D model	3D model
10₁₄₅	10	10	3D model	3D model
10₁₄₆	10	10	3D model	3D model
10₁₄₇	10	11	3D model	3D model
10₁₄₈	11	11	3D model	3D model
10₁₄₉	11	11	3D model	3D model
10₁₅₀	10	10	3D model	3D model
10₁₅₁	10	10	3D model	3D model
10₁₅₂	11	11	3D model	3D model
10₁₅₃	11	11	3D model	3D model
10₁₅₄	11	11	3D model	3D model
10₁₅₅	10	10	3D model	3D model
10₁₅₆	10	10	3D model	3D model
10₁₅₇	10	10	3D model	3D model
10₁₅₈	10	10	3D model	3D model
10₁₅₉	10	10	3D model	3D model
10₁₆₀	10	10	3D model	3D model
10₁₆₁	10	10	3D model	3D model
10₁₆₂	10	10	3D model	3D model
10₁₆₃	10	10	3D model	3D model
10₁₆₄	11	11	3D model	3D model
10₁₆₅	10	10	3D model	3D model

Robert G. Scharein
Centre for Experimental and Constructive Mathematics (CECM)