Description Usage Arguments Value Note Author(s) References See Also Examples

View source: R/AlexanderBriggs.R

Apply the Alexander-Briggs reduction to a polygonal knot or link. This method is based on the concept of elementary deformation, which consists in the replacement of two sides of a triangle with the third provided that the triangle is empty. From version 1.1 a fast implementation for links is provided.

1 | ```
AlexanderBriggs(points3D, ends = c())
``` |

`points3D` |
an |

`ends` |
a vector of positive integers defining the separators of the polygonal link |

A list of two slots:

`points3D` |
an |

`ends` |
if a non empty |

This is a low-level function.

Federico Comoglio, [email protected]

Maurizio Rinaldi, maurizio.ri[email protected]

Reidemeister K (1926), Abh Math Sem Univ Hamburg 5: 24-32.

Alexander JW, Briggs GB (1926) On types of knotted curves. Ann of Math 28: 562-586.

1 2 3 4 5 6 7 | ```
#reducing a knot
k <- makeExampleKnot(k = TRUE)
AlexanderBriggs(points3D = k)
#reducing a link
k <- makeExampleKnot(k = FALSE)
AlexanderBriggs(points3D = k$points3D, ends = k$ends)
``` |

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