#9664: Graphical representation of fans
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Reporter: vbraun | Owner: mhampton
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-4.6
Component: geometry | Keywords:
Author: Andrey Novoseltsev | Upstream: N/A
Reviewer: Volker Braun | Merged:
Work_issues: |
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Comment(by novoselt):
Replying to [comment:8 vbraun]:
> Its very pretty!
Thank you ;-)
> Some thoughts:
> * I would be in favor of `wall_color="rainbow"` being the default,
too.
Done.
> * Maybe lower the threshold where the lattice is no longer shown by
default; I find `toric_varieties.BCdlOG_base().plot()` already not very
enlightening.
Done, now it is radius <= 3 for 3-d plots, I kept 5 for 2-d.
> * it would be nice if `toric_variety.plot.__doc__` would have a link
to `:meth:toric_plotter.options`.
I am not quite sure what you mean. The plot method of toric varieties does
have a link to options function, although it was not rendered properly in
the interactive help - looks like it was because of "NOTE" after
"EXAMPLES". I have changed the order and now everything looks OK to me.
I made two more changes: `label_list` now does put an index on a single
label, if this index was passed by the user. The point is that 2-d cones
of fans are now marked as "sigma_4" rather than just "sigma". I also use
`show_lattice=True` as default for `lattice.plot()` independent of the
size: I was playing with plots of lattices and sublattices and got a bit
surprised when they have miraculously disappeared.
> You write "Chamber: 3d cone plotting not implemented yet", did you have
something particular in mind? A 3D printer? ;-) Seriously, I guess we want
a `chamber_label` option. Anything else? I also think that, in 3d plots,
the generating cones and not the 2-cones should be labeled by default. But
we don't have to implement that right now.
Didn't think of 3D printers and actually didn't think much about 3-d cones
until writing the documentation, so it has no reflection in the code yet.
What I would like to have are "translucent caps" on them, i.e. the piece
of the bounding sphere that is cut out by the cone. It seems to me that
the only option is to use polygons in the same way I draw sectors in 3-d
and it is not completely trivial (but not terribly hard as well). In
"generators" mode it would be quite easy and natural for CPR-Fanos, but
again I just didn't work on it yet.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9664#comment:9>
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