This class offers routines for constructing ready-made examples of knots and links.
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static Link | unknot () |
| Returns a zero-crossing diagram of the unknot.
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static Link | monster () |
| Returns the monster unknot, a 10-crossing diagram of the unknot that is difficult to untangle.
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static Link | gordian () |
| Returns Haken's Gordian unknot, a 141-crossing diagram of the unknot that is difficult to untangle.
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static Link | trefoilLeft () |
| Returns a three-crossing diagram of the left-hand trefoil.
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static Link | trefoilRight () |
| Returns a three-crossing diagram of the right-hand trefoil.
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static Link | trefoil () |
| Returns a three-crossing diagram of the right-hand trefoil.
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static Link | figureEight () |
| Returns a four-crossing diagram of the figure eight knot.
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static Link | hopf () |
| Returns a two-crossing diagram of the Hopf link.
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static Link | whitehead () |
| Returns a five-crossing diagram of the Whitehead link.
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static Link | borromean () |
| Returns a six-crossing diagram of the Borromean rings.
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static Link | conway () |
| Returns the 11-crossing Conway knot.
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static Link | kinoshitaTerasaka () |
| Returns the 11-crossing Kinoshita-Terasaka knot.
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static Link | torus (int p, int q) |
| Returns the (p,q) torus link.
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static Link | gst () |
| Returns a 48-crossing potential counterexample to the slice-ribbon conjecture, as described by Gompf, Scharlemann and Thompson.
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This class offers routines for constructing ready-made examples of knots and links.
These examples may be useful for testing new code, or for simply getting a feel for how Regina works.
The sample links offered here may prove especially useful in Regina's scripting interface, where working with pre-existing files is more complicated than in the GUI.
static Link regina::ExampleLink::gst |
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Returns a 48-crossing potential counterexample to the slice-ribbon conjecture, as described by Gompf, Scharlemann and Thompson.
Specifically, this knot is Figure 2 from their paper "Fibered knots and potential counterexamples to the property 2R and
slice-ribbon conjectures", Geometry & Topology 14 (2010), 2305-2347.
- Returns
- the Gompf-Scharlemann-Thompson knot.