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Math Forum » Discussions » Math Topics » geometry.pre-college.independent

Topic: Complex Numbers, Geometry, and Rotations
Replies: 6   Last Post: Feb 21, 1996 11:14 AM

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Ed Wall

Posts: 36
Registered: 12/3/04
Re: Complex numbers, geometry, and rotations
Posted: Feb 20, 1996 3:36 PM
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stuff snipped
>
>Rotations in two dimensions are nicely represented by multiplication by
>e^i(theta). But in three dimensions you need quarternions, and then the
>object you are rotating is three dimensional, but the object representing the
>rotation is four-dimensional. So things don't seem so nice.
>
>Does anyone have good ways to present or exploit the fact that rotations in
>three dimensions are not commutative?


Mark

I've noticed over in comp.graphics.algorithms there has from time
to time been a discussion of using quaterions for describing rotations as
a great way of doing some of the 'magic' you see in the latest 3-d games, etc.
Perhaps an ask over there or a check of the FAQ would be fruitful. I have
been intrigued myself, but just haven't had the time to take on YAP (yet another
project) :-).

Ed Wall








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