I've been exploring the f_noise3d function to try to get a grasp for what's
really different between noise_generators 2 and 3.   The following plot is
the "mean particle diameter".  At low thresholds, it's self-explanatory.  At
high tresholds, it's best understood as the "mean free path" in the material
until you hit a "pore".

Here, noise_generator 1 really splits from the pack.  You see the evidence
of the "plateuas," in that for infitesimal differences from either 0 or 1
you have a handful of particles.

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