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

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To visualize a 3-variable function in a 3D plot, users are seeking a method to represent the function's values with color, similar to a DensityPlot but in three dimensions. The goal is to create a semi-transparent box that reflects changes in the function's value throughout its volume. ContourPlot3D has been tried but does not meet expectations for this visualization. Suggestions include exploring free software options or creating a custom solution that uses color to represent the fourth dimension. Overall, achieving an effective 3D representation of a multi-variable function remains a challenge.
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 dependant variable) as a color. Sorry I can't offer up anything better than that.
 

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