plotting: 4D in 2D

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I usually use the following trick to show a 3D plot (where I have $f(a,b)$ and I want to show the values of $f$ versus different values of $a$ and $b$) in a 2D plot:

PLEASE SEEEEEEEEE THE IMAGE

I'm wondering what are some ideas for showing a 4D graph in a 2D plot where I have $f(a,b,c)$ and I want to show the values of $f$ versus different values of $a$, $b$ and $c$.

You can simply assume: $a$ and $b$ are continuous and $c$ is discrete


I was not sure which forum is appropriate to ask this general question about visualization but I'm hoping to find some advice from math perspective here.