       Re: Does ColorFunction-> have different meanings to Plot3D and

• To: mathgroup at smc.vnet.net
• Subject: [mg83350] Re: Does ColorFunction-> have different meanings to Plot3D and
• From: Szabolcs Horvát <szhorvat at gmail.com>
• Date: Sat, 17 Nov 2007 05:43:20 -0500 (EST)
• References: <fhjtbk\$5n0\$1@smc.vnet.net>

```congruentialuminaire at yahoo.com wrote:
> Hello Mathematica UG:
>
> I made a very simple 3D plot using a CF:
>
> Plot3D[Sin[x + y^2], {x, -3, 3}, {y, -2, 2},  ColorFunction -> (Hue[#]
> &)]
>
> Then I made a contour plot of the identical function, also with CF:
>
> ContourPLot[Sin[x + y^2], {x, -3, 3}, {y, -2, 2},  ColorFunction ->
> (Hue[#] &)]
>
> Since I am using the identical function passed to the 2 plotting
> routines, I expect the color to show analogously. Specifically in the
> Plot3D, the color bands are straight and parallel to the y-axis. In
> the ContourPlot, the bands are curved with the contours.
>
> Is it possible to make the CF correspond so that when both plots are
> shown, the color shows the correspondence between the plots (since the
> functions plotted are the same)? Alternatively, is there some other CF
> I can use with ContourPlot to accomplish the desired result?
>

Try using
Plot3D[Sin[x + y^2], {x, -3, 3}, {y, -2, 2},
ColorFunction -> (Hue[#3] &)]
to colour the 3D plot in the same way as the contour plot.  I do not
know of a simple way to colour the contour plot in the same way as the
3D plot (you could try making it transparent and manually inserting a