#16679: Plot the triangulation of a disk associated to a sine-Gordon Y-system
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Reporter: etn40ff | Owner:
Type: enhancement | Status: needs_review
Priority: minor | Milestone: sage-6.6
Component: combinatorics | Resolution:
Keywords: Y-systems, | Merged in:
cluster algebras, triangulations | Reviewers:
Authors: Salvatore Stella | Work issues:
Report Upstream: N/A | Commit:
Branch: | f699370fd73dde0e66958c41534ca9544fd09132
public/ticket/16679 | Stopgaps:
Dependencies: |
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Comment (by etn40ff):
I assume you are talking about the parametric_plot in lines 519-524 and
542-546
(the other does not plot arcs).
If I replace them with sage.plot.arc.arc I then do not know how to plot
the gray
triangular regions. Right now, in lines 572-576 I get a list of points out
of
three 'parametric_plot arcs' and then make a polygon from this list.
Unfortunately I do not know how to get points from the output of
sage.plot.arc.arc, nor if it is possible to shade a region not bounded by
line
segments.
Few considerations: sage.plot.arc.arc is extremely more efficient than the
workaround with parametric_plot precisely because it does not have to
compute
points. Luckily the number of arcs that this routine plots is not big
enough for
this to be a (big) issue. Moreover, as you suggested, it would be nice to
use
the hyperbolic plot facilities already in sage but this would mean
implementing
two different logics (one for the unpunctured disk and one for the
punctured
disk) because the punctured disk, being a cover of the UHP, is not
implemented
as a hyperbolic model. I am not sure this would make the code more
readable.
Any suggestion on how to address this?
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Ticket URL: <http://trac.sagemath.org/ticket/16679#comment:11>
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