On 2014-02-25, mmarco <mma...@unizar.es> wrote: > I would be happy to mentor a student in a knot theory related project in > sage. I had mainly two ideas: > > First idea is to write a class for knots/links. This class should be able > to translate between the different possible representations of links (Gauss > codes, 3d curves, braid closure...) and compute some of their invariants > (the usual polynomials, Seifert forms, fundamental groups...). It should > also produce pictures of knot diagrams and 3d representations of the > knot/link. Some (or most) of this features can be either written from > scratch, or just wrap external code (like the mentioned SnapPy).
perhaps one can try to incorporate parts of knotscape into Sage. Well, it's kind of old, but still works: https://github.com/dimpase/knotscap (incidentally, a colleague wanted to use knotscape on a modern Linux system, so I did these small fixes for him) > > Another idea, closely related to the previous one, is to write a javascript > editor for knots and links, following what knotplot [1] does. This can be > part of the same project or a separated one, if someone else writes the > backend (although i think that it should be possible to write the editor > and a simple backend in a single gsoc project, but that can be discussed). > An important part of this editor would be the algorithm for dynamically > relaxing the link. In particular, such an algorithm is explained in chapter > 7 of Scharein's thesis [1]. > > [1] http://www.knotplot.com/thesis/thesis.html > -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-devel@googlegroups.com. Visit this group at http://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/groups/opt_out.
