Mostly, I wanted to point out what nice "flowers" you can get when you 
apply uv_mapping to parametric surfaces made from spherical products of 
polar functions.  The key to following the petals is to base the uv_map 
on multiples of the same functions (r1 and r2) used to generate the surface.

For example, if r1 = cos(3u), then use color functions like cos(6*pi*u).

But then it looked kind of boring, so I hung a picture behind it that I 
made from while-loops of csg objects rotated on polar function paths. 
The fractal plant in the center of the framed picture is a 3D IFS.

Dave Matthews

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That's a really nice image... love the colors and patterns in the framed
objects particularly.

--
Doug Eichenberg
www.getinfo.net/douge
dou### [at] nlsnet

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Doug Eichenberg wrote:
>That's a really nice image... love the colors and patterns in the framed
>objects particularly.
>
>--
>Doug Eichenberg
>www.getinfo.net/douge
>dou### [at] nlsnet
>
Thanks.

In the framed objects, all of the polar functions were colored from R(t) =
+1 = Green to R(t) = -1 = Red, and then the whole scene with an ambient
light of yellowish.

The objects were cylinders, cones or tori rotated around polar functions (in
the xz plane) (4 - petalled roses, 6 - petalled roses and limacons) while
also rotating about their own axes (like S. R. Hall's "Moebius.inc" macro.)

This was an embellishment of my traditional first post "reflecting sphere on
checkered plane."

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