POV-Ray : Newsgroups : povray.documentation.inbuilt : Boolean isosurfaces : Boolean isosurfaces Server Time
1 Jul 2025 04:37:46 EDT (-0400)
  Boolean isosurfaces  
From: Bald Eagle
Date: 21 Jun 2025 19:10:00
Message: <web.68573b7934ec28cb1f9dae3025979125@news.povray.org>
In continued discussions with jr about certain sections of POV-Ray's
documentation,  I was reviewing the tutorial on isosurfaces and it struck me
that the use of min and max was sort of generally accepted as a bit of
mathematical magic, and the provided use cases were limited.

I worked out the particulars of min and max in Desmos, and provided descriptions
of each domain of the functions.

After looking over Boolean functions on Wikipedia, Shadertoy, and a few other
sites, I worked out the complete range of Boolean functions and how to render
them as isosurfaces.  Added the binary representations of how the y can be
mapped to the vertices of a tesseract, which should provide a basis for
interesting future work.

Enjoy.


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