SharkD wrote:
> I was wondering, what kind of interesting geometric shapes (solids, 
> surfaces, etc.) have been or could be converted into buildings?

Boxes, clearly!

More seriously, how about a catenary curve? Quadrics and conic sections 
are also pretty common, as are helices.  Ditto for general developable 
and ruled surfaces.  More local geometric concepts based on discrete 
differential geometry are also used occasionally, and although I haven't 
seen many examples I think that minimal surfaces could be used pretty 
effectively too.  As far as actual buildings I think the Sagrada Familia 
probably contains my favorite instances of mathematical forms in 
architecture, but there are many others (although I can only recall a 
few more off the top of my head).

Slightly more povray-oriented, the Infinite Spire is a nifty cool idea 
related to this: http://www.oyonale.com/infinitespire.php?lang=en

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