Would be nice, but there's a design flaw: Ink doesn't work that way. If it had CMYK ink (cyan, magenta, yellow, black) instead of RGB (red, green, blue), then it could mix some of the colors it read. Even then, the color gamut would be limited, and the more saturated colors would be a bit off. http://dba.med.sc.edu/price/irf/Adobe_tg/models/rgbcmy.html
You'd think that everything that could be done with jigsaw puzzles has already been done, but artist and designer Clemens Habicht has reimagined this classic pastime by getting people to reassemble colors rather than shapes – 1,000 colors, to be exact.