(p,q) torus knots tightened using ridgerunner with p- or q-fold rotational symmetry enforced

(3,2)-torus knot tightened with 2-fold rotational symmetry

(2,3)-torus knot tightened with 3-fold rotational symmetry

(5,2)-torus knot tightened with 2-fold rotational symmetry

(2,5)-torus knot tightened with 5-fold rotational symmetry

(7,2)-torus knot tightened with 2-fold rotational symmetry

(2,7)-torus knot tightened with 7-fold rotational symmetry

(4,3)-torus knot tightened with 3-fold rotational symmetry

(3,4)-torus knot tightened with 4-fold rotational symmetry

(9,2)-torus knot tightened with 2-fold rotational symmetry

(2,9)-torus knot tightened with 9-fold rotational symmetry

(5,3)-torus knot tightened with 3-fold rotational symmetry

(3,5)-torus knot tightened with 5-fold rotational symmetry

This material is based upon work supported by the National Science Foundation under Grant Nos. 1115722, 1418869, and 1720342 for E. Rawdon, by the University of Pittsburgh, Graz University of Technology, Vanderbilt University, Austrian Science Fund (FWF) Project 5503, and National Science Foundation Grant Nos. 1516400 and 1104102 for W. Kusner, by National Science Centre (Poland) under Grant 2015/19/D/ST8/03199 for P. Szymczak, and by National Science Foundation Grant Nos. 1440140, 1439786, and 1607611 for R. Kusner. G. Dietler, R. Kusner, E. Rawdon, and P. Szymczak were supported by the Newton Institute in 2012.

Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.