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If I generate a complexplot as follows:

a1 = ComplexPlot3D[Log[z], {z, -5 - 5 I, 5 + 5 I}]

enter image description here

I can export it to a 3D mesh (for use in external applications) with:

Export["a1.obj", a1]

This gives me a .obj file which has the 3D mesh of the plot. This works OK. The problem is that the exported material file (.mtl) is a solid color (instead of the rainbow representing the argument). This is the content of the .mtl file.

# Created with the Wolfram Language : www.wolfram.com

newmtl DefaultMaterial
Kd 0.60000002 0.60000002 0.60000002
Ka 0.050000001 0.050000001 0.050000001
Ks 0.60000002 0.60000002 0.60000002
illum 1

As you can see, it's just a solid color. Is there any way to export the material to correspond to whatever color function is used? Or export UV maps so I can apply it to the mesh in an external program? I'm open to using other formats other than .obj. I just want to be able to import the mesh into an external 3D program and have the same texture so it is colored the same way it is in Mathematica.

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This is on Mathematica 12.2 and may be different on other versions.

You can hack out the texture from the innards of that plot using:

a1[[1, 1, 2, 1, 1, 2, 1]]

Or you could try:

First[Cases[a1, Texture[_], Infinity]][[1]]

The projection appears to be top down and flat and you can Export this as an image or use the front end to save it.

plot texture

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  • $\begingroup$ Would there be any way to get a higher resolution version of the texture? Could I somehow tell Mathematica to plot the function with a higher resolution version, and then "hack out" the higher resolution texture, as you've done here? $\endgroup$ – jippyjoe4 Apr 27 at 3:48
  • $\begingroup$ @jippyjoe4 I don't think so - perhaps Mathematica is smoothing it. $\endgroup$ – flinty Apr 27 at 9:10

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