[math-fun] The hunt for the "true" 3D Mandelbrot

Hi all, Am currently on a Mac Mini and have no software to render 3D+ fractals on here at the moment but thinking about the 3D Mandy I did come up with a couple of ideas using the reduced (3D) quaternion method: Method 1: Per iteration: t = x; x = x^2 - y^2 - z^2; y = 2*t*y; z = 2*t*z Now rotate (y,z) by atan2(pixely,pixelx) (or minus the angle) then add the constant. Method 2: As above but instead rotate (y,z) by atan2(oldy,oldx) (or minus the angle) Method 3: As above but instead rotate (y,z) by atan2(y,z) (or minus the angle) I don't think method 3 will produce the desired result but I'm really interested to see the results of 1 and 2 :) bye Dave