Favourite figures from thesis

This is a collection of some of my favourite figures from my thesis, extracted here for printing as individual pages. These are the neat full-page figures. I hope you might find them useful for making transparencies for talks.

Each figure is available as a PDF (for on-line viewing or printing) and as a GZIPPED encapsulated PostScript (better for inclusion into other documents). Please cite my thesis if you use these figures, the BibTeX entry can be found on my thesis page.

Figure 3.23: Computing the Conway and Jones polynomials for the knot 63.

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Figure 3.31: Construction of a closed braid from a knot diagram.

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Figure 3.32: Flows on the Lorenz attractor.

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Figure 4.11: Projection of a +2-twist spun trefoil knot.

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Figure 5.4: Self-avoiding random walk on the cubic lattice (1022 steps). Joining the endpoints in a straight line results in a left-handed trefoil.

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Figure 5.20: Link of Lorenz knots with words x(yx)2, x(yx)3, xy(xy3)2, x3yxy3xy, and x(yx)5.

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Figure 7.5: Relaxation of the "monster" unknot.

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Figure 7.6: Relaxation of the "Freedman" unknot.

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Figure 8.4: Minimal-stick candidate for 10124 viewed along its three principal axes.

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Figure 8.5: Three minimal-stick torus knots in minimal EMD configuration.

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Figure 8.9: Rigid geometric achirality of figure-eight knot, after relaxation under the symmetric energy.

Figure 8.10: Rigid geometric achirality of 83 knot, after relaxation under the symmetric energy.

See also the achiral knot page.

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Figure 8.11: Relaxed figure-eight knot viewed along principal axes.

Figure 8.12: Relaxed 83 knot viewed along principal axes.

See also the achiral knot page and the symmetric minimal-stick candidate page.

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Figure 8.14: Closed braid with [complex word] and the knot after simplification (centre).

See also the hyperbolic knot census page.

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Go to my thesis.
Go to the KnotPlot Site.


Copyright © 2000 by Rob Scharein