Welcome. I really like your ideas, and it seems clear that you have done a lot of thinking on the subject. What i had in mind was also a 3d editor (knotplot style), but you have convinced me that working with the planar projections themselves can also be useful.
Did you take a look to knotscape? Dima did a patched version that runs ok in moder systems, together with a graphical editor. It is mentioned in this thread: https://groups.google.com/forum/#!topic/sage-gsoc/eSlgw6g6iww I think that what you had in mind was something far more complete than that, but maybe it can serve as a starting concept. I specially like the idea of making the curves look smooth. There is an old program called knot (http://www.math.kobe-u.ac.jp/~kodama/knot.html) that does that, although it is so old that some of its dependencies are no longer available in current distros. I have not been able to compile it, but i remember using it in the past. It is installed in some older versions of the knoppixmath/mathlibre live dvd. The only problem i see is that we would need another mentor, or co-mentor, since i don't have the needed experience with javascript. Maybe Volker? El martes, 4 de marzo de 2014 13:25:59 UTC+1, Jason Suagee escribió: > > Hello Sage mentors and fellow posters, > > > My name Jason Suagee and I'm a 4th year PhD student in mathematics at > George Washington University in Washington DC. I am primarily interested in > working on a javascript editor for manipulating knot diagrams as part of > the knot theory project. My background in knot theory comes mostly from > Rolfsen's classical Knots and Links book, which was the primary textbook > for a two semester course in knot theory that I am currently taking this > academic year. > > > In my own work I focus on symmetric combinatorial decompositions of > 3-manifolds, which is a cross between low dimensional topology and > topological graph theory. Where this intersects with knot theory is that > much of knot theory is actually used as a tool to describe 3-manifolds. In > particular, one of the most useful methods to present a 3-manifold is by > performing Dehn surgery on the components of a link in S^3. So manipulation > of link diagrams can be a big part of what low dimensional topologists do > on a regular basis. > > But manipulating a link diagram on paper can be a real headache, as I > have found out this year. It would be beneficial if there was a graphical > way by computer to do these manipulations. I have thought out a rough > framework with which to approach this design problem and will share it in > the post below. > > > By the way, I have been a Sage user for the past 4 years and love it! I > was quite happy to sport a Sage sticker at the joint math meeting this year > in Baltimore. > > > Best, > > Jason > > [email protected] <javascript:> > -- You received this message because you are subscribed to the Google Groups "sage-gsoc" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-gsoc. For more options, visit https://groups.google.com/groups/opt_out.
