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. 2015 Jan 26;112(6):1675–1680. doi: 10.1073/pnas.1417178112

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Fig. 4. — Extraction of the Jones polynomial on a rectangular colloidal grid. (A) POM image of a $4 \times 4$ grid with nine active tangles and additional tangles at each particle. (B) The end hooks can be trivially ignored before classification (dashed line). (C and D) Reidemeister moves of I type (red) and II type (blue) are found and resolved in a preprocessing pass. The remaining crossings contribute to the integer writhe w according to the curve orientation. (E) The final result of Eq. 1 is the Jones polynomial $X (A)$ , which reveals the original structure is the Whitehead link.

Inline graphic — Extraction of the Jones polynomial on a rectangular colloidal grid. (A) POM image of a $4 \times 4$ grid with nine active tangles and additional tangles at each particle. (B) The end hooks can be trivially ignored before classification (dashed line). (C and D) Reidemeister moves of I type (red) and II type (blue) are found and resolved in a preprocessing pass. The remaining crossings contribute to the integer writhe w according to the curve orientation. (E) The final result of Eq. 1 is the Jones polynomial $X (A)$ , which reveals the original structure is the Whitehead link.