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Topic: Rotation matrix in N dimensions
Replies: 7   Last Post: Feb 16, 2013 2:51 PM

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Daniel VanArsdale

Posts: 3
Registered: 12/13/04
Re: Rotation matrix in N dimensions
Posted: Feb 16, 2013 2:51 PM
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Below is a link to "Homogeneous Transformation Matrices" which gives explicit methods to construct a homogeneous matrix that effects an n-dimensional rotation R given:
(1) an n+1 x 2 matrix h representing the invariant n-2 dimensional flat of the rotatation, and the angle of rotation r about the invariant n-2 dimensional flat.


(2) two n+1 by 1 matrices h1 and h2 representing oriented intersecting hyperplanes, where R carries h1 to h2.


Note: n in the link means n+1 here.

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