Talk:Charts on SO(3)

From Wikipedia, the free encyclopedia
Jump to: navigation, search
WikiProject Mathematics (Rated Start-class, Low-importance)
WikiProject Mathematics
This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of Mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.
Mathematics rating:
Start Class
Low Importance
 Field: Geometry

Suggestions[edit]

Section header added. —Nils von Barth (nbarth) (talk) 21:13, 28 June 2010 (UTC)

Euler angles are z-y-z. Tait-Bryan (aka Cardan aka nautical) angles are x-y-z. These latter are often called "Euler angles", and somewhere mention of this confusion should be made, but it should not be presented as anything "correct" or "official".

Cayley rational parameters are in Weyl The Classical Groups. The reference should go in the C.r.p., not here.

The skew-symmetric matrices themselves form a chart near the identity. Their exponentials are the orthogonal matrices, so the previous version was just a complicated way of saying SO(3) parameterizes SO(3).

Conversion between quaternions and Euler angles[edit]

Should it be merged to here as a special case without a particular notability? Incnis Mrsi (talk) 16:18, 30 August 2011 (UTC)