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Motivation: Post-process a finite element solver answer file (in my case FEMM).

I'm creating a mesh with Python with the following code (well, my actual code is a bit more complex, but it doesn't matter).

import bpy

mesh = bpy.data.meshes.new("NewMesh")  # add the new mesh
obj = bpy.data.objects.new(mesh.name, mesh)
col = bpy.data.collections.get("Collection")
col.objects.link(obj)
bpy.context.view_layer.objects.active = obj

verts = [(0, 0, 0),
         (1,  1,  0), 
         (1, -1,  0),
         (-1, -1,  0),
         (-1, 1,  0),
         ]

edges = []

faces = [[0, 1, 2], [0, 2, 3], [0, 3, 4], [0, 4, 1]]

face_values = [-1.5, 10, -5, 3]

mesh.from_pydata(verts, edges, faces)

With Python (I have 10000+ faces to colorize), how can I affect a separate color to each face depending on the corresponding value in face_values (based on a color map)?

I'd like to achieve something like that (except that all faces should have a uniform color).

Minh, N & Mot, Tran & Ban, P & Nguyen, Duc. (2016). Experimental investigation on the vibration characteristics of sandwich composite beam and panel under harmonic load using accelerometers and displacement sensors.

Here is an example that I faked using texture painting:

enter image description here

with [-1.5, 10, -5, 3] corresponding to [red, blue, green, white].

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    $\begingroup$ Have a look into vertex colors: blender.stackexchange.com/a/60730/31447 $\endgroup$
    – brockmann
    May 12 '20 at 16:51
  • $\begingroup$ @brockmann Thanks for your comment. As far as I understand, with vertex colors, face colors won't be uniform on each face. Then, if I'm not mistaken, this is not what I'm looking for (I must admit that the image in my question does not properly show this requirement). Please correct me if I'm wrong. $\endgroup$
    – cjorssen
    May 13 '20 at 8:02
  • $\begingroup$ Sure. You can assign the same color to each vertex of a triangle/quad which makes it a "uniform color" per face component. Does that answer your q? $\endgroup$
    – brockmann
    May 13 '20 at 8:20
  • $\begingroup$ So a given vertex can have multiple colors corresponding to the different faces it belongs to? $\endgroup$
    – cjorssen
    May 13 '20 at 9:08
  • $\begingroup$ Nope, only one value. However your can blend them of course, see blender.stackexchange.com/a/911/31447 $\endgroup$
    – brockmann
    May 13 '20 at 9:11

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