[jupydyij] Flipping the color sphere

Consider the surface of an RGB color cube.  Project the surface of the cube onto a sphere.  Do a sphere eversion.

Consider an RGB image.  Somehow -- and this is unsolved -- map the color sphere eversion to colors shifting in the image.  I think one of the results is Red Green Blue switching from going clockwise to counterclockwise around the hue circle.  A rainbow will flip the direction of its colors in a picture.