From: keith on
I was vague in my last question and I am very sorry about that, what I
wanted to do was to take this formula:

http://en.wikipedia.org/wiki/Rodrigues%27_rotation_formula

and substitute z.v and zxv with

z.v = (z*v + v*z) / (-2)
zxv = (z*v - v*z) / 2 ,

where z and v are now pure quaternions and somehow obtain the
Hamilton-Cayley formula v' = z*v*z^(-1). Is this possible? I cant do it.