Yes, let's work on that. I just implemented a new contouring option as well
that is more like the GNUPlot contouring on a plane, with solid colors
between black lines. Still testing that.
As for arbitrary lines. Wouldn't the way to that be just to map one or more
functions onto a surface and then contour the result? Rather than somehow
catalog every single triangle? I'm guessing that you have some sort of
function in mind, right?
On Wed, Oct 14, 2009 at 4:51 PM, <jason-s...@creativetrax.com> wrote:
> I've been using jmol quite a bit lately in Sage for drawing 3d
> mathematical surfaces. One thing I really miss is the ability to have
> nice meshes (including arbitrary meshes) on a surface. Currently Jmol
> allows a mesh option to pmesh surfaces, but that only draws a specific
> grid that is hard to see (it is the same color as the surface, but
> lighter or something).
>
> Probably the easiest change would be to make the mesh default to black
> lines (like the black lines for contour plots on cut planes). That
> would make the mesh lines much easier to see. Seeing the mesh lines
> often really helps us mathematicians (especially those of us teaching).
>
> A very nice functionality to add would be the ability to draw arbitrary
> meshes on surfaces, similar to what is implemented here (but as black
> lines on the surface, rather than the crude approximation constructed
> here):
>
> http://trac.sagemath.org/sage_trac/attachment/ticket/5511/mesh_function.jpeg
> .
> I think Mathematica has a nice interface to these sorts
> of things: http://reference.wolfram.com/mathematica/ref/MeshFunctions.html
>
> We (Sage) can take care of the interface to draw meshes. What we'd need
> from jmol is the ability to draw a line *on* a surface and have it look
> like the contour lines look like on a plane. Maybe for each triangle in
> the surface, we could give a list of lines to draw on that triangle by
> specifying (for each line) the two edges the line crosses and the
> fraction of the distance along the edge to make the intersection between
> the line and the edge of the triangle.
>
> What do you think?
>
> Thanks,
>
> Jason
>
>
>
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--
Robert M. Hanson
Professor of Chemistry
St. Olaf College
1520 St. Olaf Ave.
Northfield, MN 55057
http://www.stolaf.edu/people/hansonr
phone: 507-786-3107
If nature does not answer first what we want,
it is better to take what answer we get.
-- Josiah Willard Gibbs, Lecture XXX, Monday, February 5, 1900
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