This turns out to be impossible, and the proof is fairly easy, but it is not as obvious as your description characterizes it here.
It is very nearly as obvious as Misha’s description characterizes… and Misha’s analogy could be extended to ‘color encoding schemes’ in the same way.
It is very nearly as obvious as Misha’s description characterizes… and Misha’s analogy could be extended to ‘color encoding schemes’ in the same way.