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I stumbled upon this theorem after trying to come up with a mapping of color space, RGB to RGB, where each color maps to a new one. (It was for a mouse cursor e
by arketyp 5y ago
I stumbled upon this theorem after trying to come up with a mapping of color space, RGB to RGB, where each color maps to a new one. (It was for a mouse cursor effect in a painting app.) I couldn't come up with one, and indeed it is impossible!
- chompychop 5y agoAre there any constraints on the mapping? If no, then why not map each intensity value to the immediately next value, and then circle it around? For instance, 0 -> 1, 1 -> 2, 2 -> 3, ...., 255 -> 0.
- voldacar 5y agoThe function you are describing is not continuous, so the theorem does not apply. But yeah, it has no fixed point.