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

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SUMMARY

The discussion centers on visualizing a 3-variable function in a 3D plot using Wolfram Math tools. The user seeks a method similar to DensityPlot but for 3D, aiming for a semi-transparent color representation that varies with the function's value. ContourPlot3D was attempted but did not yield satisfactory results. The conversation suggests that creating a custom solution may be necessary to effectively represent the fourth dimension as color.

PREREQUISITES
  • Understanding of 3D plotting techniques in mathematical software.
  • Familiarity with Wolfram Language functions such as DensityPlot and ContourPlot3D.
  • Basic knowledge of color mapping in data visualization.
  • Experience with custom function creation in programming environments.
NEXT STEPS
  • Explore Wolfram Language documentation for advanced 3D plotting techniques.
  • Learn how to implement color mapping in 3D visualizations using Wolfram tools.
  • Research custom function creation for visualizing multi-dimensional data.
  • Investigate alternative software options for 3D graphing, such as MATLAB or Python's Matplotlib.
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Mathematicians, data scientists, and software developers interested in advanced data visualization techniques and those looking to represent multi-dimensional functions effectively.

Qturtle
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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?
 
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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 dependent variable) as a color. Sorry I can't offer up anything better than that.
 

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