Visualizing a 3-variable function in a 3D plot -- Wolfram Math

In summary, the conversation discusses the need for a 3D graph of a function with a corresponding color option for the value of the function. The desired result is a box filled with semi-transparent color that changes based on the function value. The use of ContourPlot3D was not successful and the suggestion of using a 4D grapher with the fourth dimension represented as a color was given.
  • #1
Qturtle
11
0
Hey
I have a function of x,y,z and i want to have a 3D graph of it. i was thinking maybe there is a color option that corresponds with the value of the function, something like DensityPlot in Wolfram but in 3D instead of 2D. the result should look like a box filled with semi transparent color that changes with respect to the value of the function, so that u have an idea of what's "inside", and not only what's in front of you.
ive tried ContourPlot3D but it doesn't give me a satisfying result. any ideas?
 
Physics news on Phys.org
  • #2
Hmmm... It sounds like you want something like this https://www.google.com/?gws_rd=ssl#q=4d+grapher
I'm not really sure what a good program is to do so, but a brief skimming led me to the result that if you don't want to pay, you should make your own, and represent the 4th dimension (your dependant variable) as a color. Sorry I can't offer up anything better than that.
 

Related to Visualizing a 3-variable function in a 3D plot -- Wolfram Math

1. How do I create a 3D plot for a 3-variable function in Wolfram Math?

To create a 3D plot for a 3-variable function in Wolfram Math, you can use the Plot3D function. This function takes in the three variables as well as the function itself and generates a 3D plot with the x and y axes representing the two independent variables and the z axis representing the dependent variable.

2. Can I customize the appearance of the 3D plot?

Yes, you can customize the appearance of the 3D plot in Wolfram Math. You can change the color, style, and thickness of the lines, add labels and titles, and even add a legend to the plot. You can also adjust the viewing angle and perspective of the plot to get a better understanding of the function.

3. How do I interpret a 3D plot of a 3-variable function?

A 3D plot of a 3-variable function shows how the value of the dependent variable changes with respect to the two independent variables. The height of the plot at a particular point represents the value of the function at that point. You can also use the color of the plot to represent the value of the function, with warmer colors indicating higher values and cooler colors indicating lower values.

4. Can I add additional features to the 3D plot, such as contour lines?

Yes, you can add additional features to the 3D plot in Wolfram Math. You can add contour lines, which represent points on the plot with the same function value, by using the ContourPlot3D function. You can also add other types of surfaces, such as mesh surfaces, to the plot to get a better understanding of the function.

5. How can I export the 3D plot to use in other programs or documents?

You can export the 3D plot from Wolfram Math in various formats, such as PNG, JPEG, PDF, and more. You can do this by using the Export function and specifying the desired format. This will allow you to use the 3D plot in other programs or documents to enhance your presentation or analysis of the function.

Similar threads

Plot function of 3 space variables plus time
    • MATLAB, Maple, Mathematica, LaTeX
Replies
5
Views
1K
MATLAB How can I plot a separable function in 3D using polar coordinates?
    • MATLAB, Maple, Mathematica, LaTeX
Replies
6
Views
2K
MATLAB How to set zero value boxes transparent in 3D plots?
    • MATLAB, Maple, Mathematica, LaTeX
Replies
1
Views
2K
I What are the applications of inverses of vector functions?
    • General Math
Replies
17
Views
2K
Mathematica Mathematica 3D plot color function options
    • MATLAB, Maple, Mathematica, LaTeX
Replies
1
Views
3K
Maple Problems with plotting a function in Maple
    • MATLAB, Maple, Mathematica, LaTeX
Replies
2
Views
2K
Surface plot for a 3D function
    • Programming and Computer Science
Replies
15
Views
2K
3D Visualization of Temperature Distribution Function
    • MATLAB, Maple, Mathematica, LaTeX
Replies
10
Views
8K
Mathematica Mathematica , Combining 2D and 3D plots
    • MATLAB, Maple, Mathematica, LaTeX
Replies
2
Views
13K
MATLAB Why am I Getting an Error Message When Plotting Functions in MatLab?
    • MATLAB, Maple, Mathematica, LaTeX
Replies
12
Views
2K

Hot Threads

Recent Insights

Back
Top