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From: la086318@zach.fit.edu ( Mark R. Craig)
Newsgroups: comp.graphics,sci.math
Subject: Stereographic projections of 4D objects
Message-ID: <738@winnie.fit.edu>
Date: 6 Jan 90 04:14:20 GMT
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Reply-To: la086318@zach.fit.edu ( Mark R. Craig)
Followup-To: comp.graphics
Organization: Florida Institute of Technology, ACS, Melbourne, FL
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Does anyone know how to implement stereographic projections of 4 dimensional
objects?  More specifically, the hypertorus and the hypersphere.  I have
coded a few different types of projections, including one which is close to a
stereographic projection.  I believe I understand the technique, but I am
having trouble implementing it, especially for the general case of any fourth
dimensional object. 
    Along the same lines, some articles I have read on the subject (by 
Dr. Thomas Banchoff, and A. K. Dewdney) refer to the hypertorus being 
projected from the hypersphere by stereographic projection.  How is the
hypertorus oriented in terms of the hypersphere?

Any suggestions, algorithms, code, etc. will be greatly appreciated.

==========================================================================
Mark R. Craig
Florida Institute of Technology
la086318@zach.fit.edu
Mark R. Craig
Internet:  la086318@zach.fit.edu
UUCP:      ...!winnie!zach!la086318