KnotPlot

KnotPlot is a program to visualize and manipulate knots in three and four dimensions. Knots can be loaded from a database of almost 1000 knots and links or sketched by hand in three dimensions. Also, knots may be constructed via the Conway notation or using a tangle calculator. A number of special knot types (torus knots, knot chains, Lissajous knots) may be created on the fly. Finally, new knots can be created from old knots using a number of transformations.

This software is also referenced in ORMS.

Keywords for this software

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References in zbMATH (referenced in 20 articles , 1 standard article )

Showing results 1 to 20 of 20.
Sorted by year (citations)

  1. Lee, Minjung; No, Sungjong; Oh, Seungsang: Stick number of spatial graphs (2017)
  2. Ernst, Claus; Montemayor, Anthony: Nullification numbers of knots with up to 10 crossings (2016)
  3. Scanlon, Lauren A.: Study of knots in material culture (2016)
  4. Hodorog, Mădălina; Schicho, Josef: A regularization approach for estimating the type of a plane curve singularity (2013)
  5. Kauffman, Louis H.: Following knots down their energy gradients (2012)
  6. Li, Ji; Peters, Thomas J.; Marsh, David; Jordan, Kirk E.: Computational topology counterexamples with 3D visualization of Bézier curves (2012)
  7. Alvarado, Sotero; Calvo, Jorge Alberto; Millett, Kenneth C.: The generation of random equilateral polygons (2011)
  8. Ashton, Ted; Cantarella, Jason; Piatek, Michael; Rawdon, Eric J.: Knot tightening by constrained gradient descent (2011)
  9. Millett, Kenneth C.; Piatek, Michael; Rawdon, Eric J.: Polygonal knot space near ropelength-minimized knots (2008)
  10. Hikami, Kazuhiro: Generalized volume conjecture and the $A$-polynomials: The Neumann-Zagier potential function as a classical limit of the partition function (2007)
  11. Bar-Natan, Dror: Khovanov’s homology for tangles and cobordisms (2005)
  12. Budney, Ryan; Conant, James; Scannell, Kevin P.; Sinha, Dev: New perspectives on self-linking (2005)
  13. Janse van Rensburg, E.J.: A tutorial on knot energies (2005)
  14. McCabe, Cynthia L.: Constructing algebraic links for low edge numbers (2005)
  15. Bar-Natan, Dror: Khovanov homology for knots and links with up to 11 crossings (2004)
  16. Millett, Kenneth C.; Rawdon, Eric J.: Energy, ropelength, and other physical aspects of equilateral knots. (2003)
  17. Bar-Natan, Dror: On Khovanov’s categorification of the Jones polynomial (2002)
  18. Borwein, Jonathan (ed.); Morales, Maria H. (ed.); Polthier, Konrad (ed.); Rodrigues, José F. (ed.): Multimedia tools for communicating mathematics. Based on the international workshop, Lisbon, Portugal, November 2000. With CD-ROM (2002)
  19. Rawdon, Eric J.; Scharein, Robert G.: Upper bounds for equilateral stick numbers. (2002)
  20. Buck, Gregory; Simon, Jonathan: Thickness and crossing number of knots (1999)