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MathGroup Archive 2004

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Re: ColorFunctions again (making z=0 be different from z=1)

  • To: mathgroup at
  • Subject: [mg50512] Re: [mg50488] ColorFunctions again (making z=0 be different from z=1)
  • From: Bob Walker <walkerbg at>
  • Date: Wed, 8 Sep 2004 05:15:36 -0400 (EDT)
  • References: <>
  • Sender: owner-wri-mathgroup at

For the first question, one possibility is the ColorFunction defined as:
The .62 starts at blue (since I like to start with blue) and the .91 
stops before it returns to full blue.  You still get all the colors in 
between since Hue does a Mod 1 on its arg.

Or closer to the default:
which will start at red and not get all the way back to red.

For contour legends, I suggest you try the following
LabelContour.m, which is available on MathSource, is writen by Tom 
Wickham-Jones and is discussed in his excellent book: Mathematica 
Graphics.  Note that the book is written for Mathematica 3 so there are some 
differences.  The package on MathSource has been updated for Mathematica 4 (and 5).

Good luck
Bob Walker

AES/newspost wrote:

>The simple  ColorFunction->Hue  option in Plot3D, ContourPlot, and 
>DensityPlot, makes z = 0 appear the same as z = 1 (i.e., both bright 
>red), a situation which seems to me to make these plots confusing 
>and more difficult to interpret, given that "high peaks" and "sea
>level valleys" may be the most interesting features of such a plot.
>Do others have any favorite, not too messy ColorFunctions that
>make values near z = 0 tend toward white, or grey, or less bright,
>or something so that there's a clearly unidirectional visual
>effect going from values of z near 0 to those near z = 1?
>[And as a side question, a simple Prolog or Epilog code to put 
>one of those scaled and labelled vertical color bars alongside a
>ContourPlot or DensityPlot, perhaps with the same vertical
>height as the plot itself?]

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