Well, after toying around a bit, it appears that the conversion would go something like: w = r\sin(\theta)\sin(\psi)\cos(\phi), x = r\sin(\theta)\sin(\psi)\sin(\phi), y = r\sin(\theta)\cos(\psi), z = r\cos(\theta).
Howdy everyone,
I'm on a quest for something that is proving a bit elusive at the moment: a Cartesian to polar transform (along with its inverse) for \mathbb{R}^4. I'm well aware of how to derive the transform for both \mathbb{R}^2 and \mathbb{R}^3, as it is just a matter of looking at the...