Mathematica 3D plot color function options

[dansta92]

Hi,

I have 3D plot used to represent the amount of light that hits a solar panel.

Basically what I would like is a way to have say 10% of the data red, the next 10% of the data yellow etc.

The 3D plot is at a peak in the centre and then goes to zero by some function based on data, so there is some way to tell mathematica that I want the top 10% of the volume to be a certain color then between 10-20% a different colour etc. that should work but I don't know how to do it... (Volume works because the plot takes the amount of photons hitting a certain region and gives it a higher value, so the total volume represents the amount of data points)

I would be happy to just know how to draw a circle splitting the plot into equal volumes

Thanks

 

[mmwave]

for your post! As a scientist who works with data visualization, I can definitely help you with this. To color code different portions of your 3D plot, you can use the "ColorFunction" option in Mathematica. This allows you to specify a function that determines the color of each point in the plot based on its value.

In your case, you can use a function that assigns a different color to each 10% of the data. For example, if your plot goes from 0 to 100, you can use the following ColorFunction:

ColorFunction -> Function[{x, y, z},
If[z <= 10, Red, If[z <= 20, Yellow, If[z <= 30, Green, Blue]]]]

This function will color the first 10% of the data (z <= 10) as red, the next 10% (z <= 20) as yellow, and so on. You can adjust the colors and ranges as needed.

To draw a circle that splits the plot into equal volumes, you can use the "RegionFunction" option. This allows you to specify a region in which the plot will be drawn. In your case, you can use a function that defines a circle as the region, such as:

RegionFunction -> Function[{x, y, z}, x^2 + y^2 <= 1]

This will draw the plot within a circle with radius 1. You can adjust the radius as needed.

I hope this helps! Let me know if you have any further questions.