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# Colour of plot...not based on z coordinate, but on other variable.

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## Colour of plot...not based on z coordinate, but on other variable.

(OP)

Hi

I plotted an hyperbolic parabolid surface in Matlab. The colour of the plot is based on the z-coordinate of the surface. But, now I want to visualise the result of an other function (like: f= x+y+2) on the the surface. So the colour of the surface should be based on the result of function f and not on the z-coordinate. Can somebody explain clearly how to do this? Is it a 4dplot?...and/or how this exactly works?

k = 1

x = linspace(-3,3);

y = linspace(-3,3);

[x,y] = meshgrid(x,y);

z = k*x.*y;

mesh(x,y,z)

### RE: Colour of plot...not based on z coordinate, but on other variable.

I was curious about this so I looked into it & it's pretty straightforward, actually. You can add a fourth parameter to the SURF command to color the surface. In the case you've presented:

#### CODE --> MATLAB

k = 1
x = linspace(-3,3,50);
y = linspace(-3,3,50);
[x,y] = meshgrid(x,y);
f= x+y+2;
z = k*x.*y;
surf(x,y,z,f);
shading flat; 

Hope that helps. Here's a picture:

Good luck!

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