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MathGroup Archive 2001

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RGBColor [?,?,?]

  • To: mathgroup at
  • Subject: [mg30852] RGBColor [?,?,?]
  • From: "eugene777" <eugene777 at>
  • Date: Thu, 20 Sep 2001 03:52:00 -0400 (EDT)
  • Sender: owner-wri-mathgroup at

Imagine Leonardo Da Vinci in mixing paints (colors), but he has only
Mathematica for this reason.
He knows yellow mixed with blue forms green and denotes:
RGBColor[1,1,0] + RGBColor[0,0,1] = RGBColor[0,1,0]
He knows red mixed with yellow forms orange and denotes:
RGBColor[1,0,0] + RGBColor[1,1,0] = RGBColor[1,.5,0]
... and generally he denotes:
RGBColor[r1,g1,b1] + RGBColor[r2,g2,b2] = RGBColor[r3,g3,b3]

Now he needs to put a detail on the picture colored RGBColor[.375,.988,.164]
but he does not know which colors to mix. So he needs an algorithm. He wants
to know and the opposite ? mixing any two or more colors what will be the
resulting color.
* Question1*:
RGBColor[r1,g1,b1] + RGBColor[r2,g2,b2] = RGBColor[?,?,?]
** Question2 **:
RGBColor[r3,g3,b3] = RGBColor[?,?,?] + RGBColor[?,?,?]

Two overlapped disks result three sectors: {1,2,12}.
Three overlapped disks result maximum seven sectors {1,2,3,12,13,23,123}.
*** Question3 ***(graphical) :
I ask you how could I plot few randomly overlapped figures (say disks) to
display these overlapped sectors with there resulting (mixed) color?

Thank you in advance for any help.

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