This article is marked:
Author: M. Romero Schmidtke. Translator: August Pieres.
Please can the authors confirm that this is original work, donated under the GFDL?
- The article appears to be a translation from this Enciclopedia Libre article; M.Romero Schmidtke is a regular contributor there. AxelBoldt 01:26 Apr 7, 2003 (UTC)
Thank you, August Piers, for this translation of my article. I would surely not have done better. And yes, it is an original work, writen specifically for enciclopedia libre and the spanish wikipedia.
M. Romero Schmidtke, April 26 , 2003.
The following text was cut from the main page. -- Fropuff 03:48, 2004 Aug 2 (UTC)
a thought
One can specify a rotation in n dimensions by specifying two unit vectors A and B. The specified rotation is that which maps A onto B. The axis of rotation in n dmensions is a surface of (n-2) dimensions. Only in three dimensions is this axis itself one-dimensional.
I would guess, then, that a quaternion of rotation is equivalent to the cross product of the two unit vectors A and B, which is also a vector only in three-space, and whose magnitude also varies as the sin of the angle.