Dear SAGE community:
   The Jmol development team is starting to build a plot object into
Jmol that SAGE could just pass a group of surfaces/meshes to for
plotting.

  Initially we are talking about a 3-D plot object, which would take
care of scaling, axis ticks, axis labels and aspect ratios and allow
an interactive user interface to change these things inside the
notebook.

  However, I began wondering if we could make something more general
and if the SAGE community thinks it would be useful to them? How about
a generic plot object for any number of dimensions?  The basic idea is
that you could specify which triple of dimensions to use for the x,y,z
triplet and use a fourth dimension to specify a magnitude at a point
(plotable as a color intensity, scaled spheres or used to produce an
isosurface), a fourth and fifth dimension to specify a complex value
at a point (not sure how to plot that...scaled spheres of different
colors or a vector field only in one plane?), or a fourth, fifth and
sixth dimension to plot a vector field.  The key idea being that we
could choose the triple, qradruple, pentuple or hextuple to plot out
of any n-tuple.

Any thoughts on this more general idea?  Is anybody aware of
implementations of something like this that is open source? Or
something non-open source that we could look at for ideas about how
things should behave?  We would also welcome more input on the 3D
object properties.

Jonathan
a small part of the Jmol development team

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