P3D Re: n-dimensional projections

[Jim Crowell <crowell.20@xxxxxxx>]

>From: Nick Merz <merz@xxxxxxxxx>
>To: photo-3d@xxxxxxxxxxxxxxxxx
>Subject: P3D n-dimensional projections
>
>This dialogue reminded me of a question I've meant to ask.
>Has anyone on the list seen (or created) 3D projections of higher
>dimensional geometries?
>
>I have occasionally seen 2D representations of these (often just
>computer screen shots printed in magazines), but never known of 3D
>versions.  I would be particularly interested in 4D objects projected
>into 3 space.  For example, I know it's possible to tie a plane into
>a knot in 4D space without having it pierce itself, but I've never
>seen it in 3D.  I have also seen 2D attempts at a hyper-cube, but
>never a 3D.  I can imagine a cool Viewmaster set where you project a
>Hypercube into 3-space, than rotate it incrementally around one axis.
>One reel is seven views around X, one is Y, and one is Z.  360/7 is
>your angle increment.
>

Not sure if this is what you had in mind, but on last Month's 
MacAddict CD there was a program by a math prof. at Brandeis for 
viewing mathematical objects (e.g. the standard 3-D representation of 
a Klein Bottle) in anaglpyh format...Pretty cool program.

http://rsp.math.brandeis.edu/3D-Filmstrip_html/3D-FilmstripHomePage.html

-Jim C.
-- 

-------------------------------------
Jim Crowell, Ph.D.
Dept. of Psychology
Cognitive/Experimental Group
216 Lazenby Hall
Ohio State University
Columbus, OH 43210
mailto:crowell@xxxxxxxxxxxxxxxxx
mailto:crowell.20@xxxxxxx
mailto:crowell@xxxxxxxxxxx
http://vision-lab.psy.ohio-state.edu/crowell/