Description

The yellow arrow is the axis-angle representation of the orientation, the green ellipsoid is the quaternion.  From the quaternion (w,x,y,z): w is the wideness, v=(x,y,z) v.magnitude is the tallness, and the whole thing points in the direction v.  Quaternions do not lend themselves to easy visualization.

Read my wiki article about quaternions!
http://wiki.roblox.com/index.php?title=Quaternions_for_rotation

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