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Re: ColorFunction and question about how to use it

  • To: mathgroup at smc.vnet.net
  • Subject: [mg101664] Re: ColorFunction and question about how to use it
  • From: Bill Rowe <readnews at sbcglobal.net>
  • Date: Tue, 14 Jul 2009 05:32:32 -0400 (EDT)

On 7/12/09 at 5:49 AM, david.b.a.epstein at googlemail.com (David)
wrote:

>Here is some Mathematica code

>In[2]:= Plot3D[x + y, {x, -2, 2}, {y, -2, 1},
>ColorFunction -> Function[{x, y, z} -> Hue[z]]]

>Plot3D[x + y, {x, -2, 2}, {y, -2, 1}]
>--------------------------------------------------------------------

>The first Plot3D command gives me only black and white.
>Why is that? Otherwise it looks fine.

Incorrect syntax. Presumably you want:

Plot3D[x + y, {x, -2, 2}, {y, -2, 1},
  ColorFunction -> Function[{x, y, z}, Hue[z]]]

>The second Plot3D command
>gives me the graph in a uniform blue. Why is that? Apart from the
>colour, the two graphs look the same.

I've no real explanation other than the observation, your
function has a constant gradient and varies little over the
range you specified. I assume this is why there is essentially
no variation in the color.



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