#12872: A show method for permutations
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Reporter: ncohen | Owner: sage-combinat
Type: enhancement | Status: positive_review
Priority: major | Milestone: sage-5.1
Component: combinatorics | Resolution:
Keywords: | Work issues:
Report Upstream: N/A | Reviewers: David Coudert
Authors: Nathann Cohen | Merged in:
Dependencies: | Stopgaps:
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Comment (by stumpc5):
Hi Natann,
thanks for working on that! Here are some further comments:
1. for the braid representation: I would think of options for orientation
being X-to-Y for X,Y being top,bottom or bottom,top or left-right or
right-left. Also, I think of a braid in a different way: order the
inversions in some order (say lex) and then swap two strings at a time.
This produces pictures like on the wiki page for the braid group,
http://en.wikipedia.org/wiki/Braid_group.
2. A second way of drawing the chord diagram is by having two vertices
(i,"in") and (i,"out") for each letter. The pic then becomes a matching of
2n points placed on a circle.
3. do you think of implementing the Rothe (or inversion) diagram Florent
mentioned?
4. The one-line notation is also nice when just drawing arcs between
points.
Maybe at least points 3 and 4 might only be worth implementing when doing
it in latex/tikz - but this might also apply to 1.
Feel free to say that you don't want to do it, I might then start looking
at it one day...
Best, Christian
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12872#comment:26>
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