TriangleGetHoles

TriangleGetHoles[expr]

returns the holes in a Triangle expression.

Details and Options

To use TriangleGetHoles, you first need to load it using Needs["TriangleLink`"].
TriangleGetHoles indicates to Triangle where a hole in a mesh is to be placed.

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]

Set the region holes in the Triangle input instance with the TriangleSetHoles command:

Wolfram Language code:

holes = {{1.5, 1.5}};
TriangleSetHoles[inst, holes]

With TriangleGetHoles, you can retrieve the value set in the Triangle instance:

Wolfram Language code: TriangleGetHoles[inst]

Here is a picture of the bounding facet and the facet hole position:

Wolfram Language code: Graphics[ {{Red, PointSize[0.04], Point[holes]}, GraphicsComplex[pts, Line[segments]]}]

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