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 24 articles , 1 standard article )

Showing results 1 to 20 of 24.
Sorted by year (citations)

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  1. Mroczkowski, Maciej: Knots with Hopf crossing number at most one (2020)
  2. Jackson, David M.; Moffatt, Iain: An introduction to quantum and Vassiliev knot invariants (2019)
  3. Gilsbach, Alexandra; von der Mosel, Heiko: Symmetric critical knots for O’Hara’s energies (2018)
  4. Lee, Minjung; No, Sungjong; Oh, Seungsang: Stick number of spatial graphs (2017)
  5. Ernst, Claus; Montemayor, Anthony: Nullification numbers of knots with up to 10 crossings (2016)
  6. Scanlon, Lauren A.: Study of knots in material culture (2016)
  7. Arsuaga, J.; Diao, Y.; Klingbeil, M.; Rodriguez, V.: Properties of topological networks of flexible polygonal chains (2014)
  8. Hodorog, Mădălina; Schicho, Josef: A regularization approach for estimating the type of a plane curve singularity (2013)
  9. Kauffman, Louis H.: Following knots down their energy gradients (2012)
  10. Li, Ji; Peters, Thomas J.; Marsh, David; Jordan, Kirk E.: Computational topology counterexamples with 3D visualization of Bézier curves (2012)
  11. Alvarado, Sotero; Calvo, Jorge Alberto; Millett, Kenneth C.: The generation of random equilateral polygons (2011)
  12. Ashton, Ted; Cantarella, Jason; Piatek, Michael; Rawdon, Eric J.: Knot tightening by constrained gradient descent (2011)
  13. Millett, Kenneth C.; Piatek, Michael; Rawdon, Eric J.: Polygonal knot space near ropelength-minimized knots (2008)
  14. Hikami, Kazuhiro: Generalized volume conjecture and the (A)-polynomials: The Neumann-Zagier potential function as a classical limit of the partition function (2007)
  15. Bar-Natan, Dror: Khovanov’s homology for tangles and cobordisms (2005)
  16. Budney, Ryan; Conant, James; Scannell, Kevin P.; Sinha, Dev: New perspectives on self-linking (2005)
  17. Janse van Rensburg, E. J.: A tutorial on knot energies (2005)
  18. McCabe, Cynthia L.: Constructing algebraic links for low edge numbers (2005)
  19. Bar-Natan, Dror: Khovanov homology for knots and links with up to 11 crossings (2004)
  20. Millett, Kenneth C.; Rawdon, Eric J.: Energy, ropelength, and other physical aspects of equilateral knots. (2003)

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