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TetGenSetRegions[expr,pts,index,attrs]

sets the regions in a TetGen expression.

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Details and Options Details and Options
Examples  
Basic Examples  
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TetGenLink`
TetGenLink`

TetGenSetRegions

TetGenSetRegions[expr,pts,index,attrs]

sets the regions in a TetGen expression.

Details and Options

  • To use TetGenSetRegions, you first need to load it using Needs["TetGenLink`"].
  • TetGenSetRegions allows you to set different regions in TetGen instances.

Examples

Basic Examples  (1)

First, load the package:

Wolfram Language code: Needs["TetGenLink`"]

This creates an instance of a TetGen expression:

Wolfram Language code: inst = TetGenCreate[]

This sets up points and facets to use:

Wolfram Language code: pts = {{0., 0., 0.}, {2., 0., 0.}, {2., 0., 2.}, {0., 0., 2.}, {0., 12., 0.}, {2., 12., 0.}, {2., 12., 2.}, {0., 12., 2.}}; facets = {{{1, 2, 3, 4}}, {{5, 6, 7, 8}}, {{1, 5, 6, 2}}, {{2, 6, 7, 3}}, {{3, 7, 8, 4}}, {{4, 8, 5, 1}}};

This sets the points and facets in the TetGen instance:

Wolfram Language code: TetGenSetPoints[inst, pts]; TetGenSetFacets[inst, facets];

This sets up variables that specify a point within a material domain, as well as a region attribute and a region constraint:

Wolfram Language code: materialDomains = {{1., 0.25, 0.1}}; materialDomainsRegionAttribute = {10.}; materialDomainsRegionConstraint = {0.05};

The material variables are set in the TetGen instance:

Wolfram Language code: TetGenSetRegions[inst, materialDomains, materialDomainsRegionAttribute, materialDomainsRegionConstraint];

This carries out the tetrahedralization, returning a new TetGen instance. The switch "A" is needed to process the material data:

Wolfram Language code: outInst = TetGenTetrahedralize[ inst, "pqaA"]

This extracts the element attributes:

Wolfram Language code: TetGenGetElementAttributes[outInst]//Short

This extracts the points and faces from the tetrahedralization:

Wolfram Language code: elemPts = TetGenGetPoints[outInst]; elemFaces = TetGenGetFaces[outInst];


This plots the faces:

Wolfram Language code: Graphics3D[GraphicsComplex[elemPts, Polygon[elemFaces]]]
Wolfram Research (2010), TetGenSetRegions, Wolfram Language function, https://reference.wolfram.com/language/TetGenLink/ref/TetGenSetRegions.html.

Text

Wolfram Research (2010), TetGenSetRegions, Wolfram Language function, https://reference.wolfram.com/language/TetGenLink/ref/TetGenSetRegions.html.

CMS

Wolfram Language. 2010. "TetGenSetRegions." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/TetGenLink/ref/TetGenSetRegions.html.

APA

Wolfram Language. (2010). TetGenSetRegions. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/TetGenLink/ref/TetGenSetRegions.html

BibTeX

@misc{reference.wolfram_2026_tetgensetregions, author="Wolfram Research", title="{TetGenSetRegions}", year="2010", howpublished="\url{https://reference.wolfram.com/language/TetGenLink/ref/TetGenSetRegions.html}", note=[Accessed: 15-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_tetgensetregions, organization={Wolfram Research}, title={TetGenSetRegions}, year={2010}, url={https://reference.wolfram.com/language/TetGenLink/ref/TetGenSetRegions.html}, note=[Accessed: 15-June-2026]}