On 07/18/2016 04:20 PM, Bald Eagle wrote:
...
> I'm just thinking from the perspective of ready-made subdivisions of 3D space,
> especially in the context of individual points.
...

Have you looked at the source code for these images ?
(It's on my webpage.)

http://hof.povray.org/Isosurface-Cubic_Space_Division.html
http://hof.povray.org/Isosurface-Sombrero.html

There are more images made with similar techniques in this folder:

http://subcube.com/POV-Ray_Images/

E.g.:
Isosurface_Sphere_Inversion.jpg
Isosurface_Torus_Grid.jpg
Isosurface_Circle_Inversion.jpg
Isosurfaces_Escher_Grid.jpg
Isosurface_Construction.jpg
Isosurfaces_Blobbing.jpg
Isosurface_Crackle_Pattern.jpg

I'm sure that it can be be done with non rectangular/cubic space 
divisions as well.

R Suzuki once made some interesting (but quite complex) isosurface 
macros that might be relevant:

From: R Suzuki
Subject: Example of Rope Macro
Date: 22 Jan 2002 09:52:27
http://news.povray.org/povray.binaries.images/thread/%3C3c4d365b%40news.povray.org%3E/

From: R Suzuki
Subject: Rope Macro
Date: 22 Jan 2002 09:49:44
http://news.povray.org/povray.binaries.scene-files/thread/%3C3c4d35b8%40news.povray.org%3E/

See his attached rope.inc file for the macros.

-- 
Tor Olav
http://subcube.com

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