I'm wondering if I could get any hints on visualizing quaternions, physically or geometrically?

I am trying to move from a matrix 3D orientation representation to a quaternion orientation and need some help visualizing...

Question

I'm wondering if I could get any hints on visualizing quaternions, physically or geometrically? 

I am trying to move from a matrix 3D orientation representation to a quaternion orientation and need some help visualizing...

turingtest · Answer

As an abstract mathematical entity it is really hard to visualize, but maybe this will help http://www.euclideanspace.com/maths/algebra/realNormedAlgebra/quaternions/geometric/axisAngle/index.htm

anonymous · Answer

ok thanks :)