Playing with splines for other reasons, I found what I beat down to the
following snippet (see attached)

*v = []                          # Will hold points
step  = 0.5                     # "Fineness" of my approximation
for x in srange(0, 2*pi, step): # Fill parameter *v* with points
   v.append((cos(x), sin(x)))   # on the unit circle.

show(points(v, rgbcolor=(1,0,0), pointsize=20) +
     plot(spline(v), rgbcolor=(0,0,1)))*

"Aha!", I thought, "I'm being clueless.  No one splines a parametric curve."
 But curious, I did some
googleing.

At < http://www.tau.ac.il/~kineret/amit/scipy_tutorial/ > there is a nice
example at "Figure 3," as there is at
< http://www.tau.ac.il/~kineret/amit/scipy_tutorial/ > at "Curve fitting and
fairing using conic splines."

Glanced at a couple SAGE pages, <
http://www.sagemath.org/doc/html/ref/module-sage.plot.plot.html > &
<
http://www.sagemath.org/doc/html/ref/module-sage.plot.plot3d.list-plot3d.html>,
but nothing seemed
helpful.

Thanks for any ideas.

Dean

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<<inline: spline_attempt.png>>

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