It would be interesting to do this in three dimensions. With a perceptual color space such as HCL it could be used to pick N distinct colors, e.g. for data visualization.
My original plan was to use results from this to pick colours for my other project (a graphing program). But I really just ended up with a toy that I found fun to play with. I probably could get a 3D version for HCL, that will be another weekend project.