TriangleGetRegions

TriangleGetRegions[expr]

returns the regions in a Triangle expression.

Details and Options

To use TriangleGetRegions, you first need to load it using Needs["TriangleLink`"].
TriangleGetRegions allows you to retrieve regions set in Triangle instances.

To use TriangleLink, it must first be loaded:

Wolfram Language code: Needs["TriangleLink`"]

Start by specifying the coordinates and displaying them:

Wolfram Language code: pts = {{0., 0.}, {3., 0.}, {3., 3.}, {0., 3.}, {1., 1.}, {2., 1.}, {2., 2.}, {1., 2.}}

Wolfram Language code: Graphics[{Red, PointSize[0.02], Point[pts]}]

Then create the input instance and set the points:

Wolfram Language code: inst = TriangleCreate[]

Wolfram Language code: TriangleSetPoints[inst, pts]

Next, the list of segments is created:

Wolfram Language code: segments = {{1, 2}, {2, 3}, {3, 4}, {4, 1}, {5, 6}, {6, 7}, {7, 8}, {8, 5}}

Wolfram Language code: Graphics[{ Opacity[0.25], GraphicsComplex[pts, Line[segments]]}]

Set the segments in the input instance of Triangle:

Wolfram Language code: TriangleSetSegments[inst, segments]

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 = {{1.5, 1.25}};
materialDomainsRegionAttribute = {10.};
materialDomainsRegionConstraint = {0.05};

The material variables are set in the Triangle instance:

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

Retrieve the region values in a Triangle instance:

Wolfram Language code: TriangleGetRegions[inst]

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