This module draws a raytraced image of a parametric equation

$\{\begin{array}{ll}x=& x(u,v)\\ y=& y(u,v)\\ z=& z(u,v)\end{array}$

using
Povray.
Povray is free software and can be downloaded from http://www.povray.org
Unlike the tool Polyray, this module can draw all kinds
of **smooth** surfaces, not only polynomials.
However, since it uses phong shading to smoothen the image, it is not as accurate,
but the result will still be quite attractive. Compared with the tool
Animated drawing,
this module gives smooth surfaces instead of patch grids,
at the cost of a little more time for rendering.

If you find it difficult to adjust the following parameters well, click here for some examples.

The surfaces are plotted in a left-handed coordinate system,
so they are really the mirror images of the usual surfaces in a right-handed
coordinate system. However, for many symmetric surfaces, this makes no difference.
If you do want to see the surfaces in a right-handed coordinate system,
transform them by yourself.

The most recent versionPlease take note that WIMS pages are interactively generated; they are not ordinary HTML files. They must be used interactively ONLINE. It is useless for you to gather them through a robot program.

- Description: generates raytraced smooth 3D surfaces from parametric equations. interactive exercises, online calculators and plotters, mathematical recreation and games
- Keywords: interactive mathematics, interactive math, server side interactivity, analysis, geometry, parametric_surfaces, surfaces