Adam Coffman wrote:
> 
> ...
> The web site lists some equations for representatives of each
> equivalence class, and I've posted
> some very simple POV-ray scenes and source code.  I've also written a
> very brief background
> discussion of projective geometry, but this is probably only useful for
> experts who already know it,
> and the site has links to other web pages related to Steiner surfaces.
> 
> Finally, you'll find an "include" file for several Steiner quartics and
> cubics,
> modeled after A. Enzmann's shapesq.inc file.
> 
> Here's the URL:
>  http://www.ipfw.edu/math/Coffman/steinersurface.html

Cool pics.  Ever seen the book, "A Topological Picturebook" by Francis? 
There's a bunch of stuff in there that I've always wanted to see
rendered/animated (particularly the tobacco pouch).  I've seen several
sphere eversion animations and they are always fun (haven't seen a
POV-Ray script for generating one yet).

One comment - you might point out on the web site that due to the way
ray tracing works, you end up missing the 2 dimensional solutions (for
the Roman surface anyway) that lie on the axes.

As far as the classification of Steiner surfaces - wasn't there a book
published around 10 years ago that had them all laid out?  Forget the
title - I happened across it at the Harvard COOP one day and didn't have
enough cash to buy it.

Xander

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