constrains triangle areas for refinement.

Details and Options

  • To use TriangleSetTriangleAreas, you first need to load it using Needs["TriangleLink`"].
  • TriangleSetTriangleAreas constrains the triangle area in a refinement of a Triangle instance.


Basic Examples  (1)

To use TriangleLink, it must first be loaded:

You start by specifying the coordinates and displaying them:

Then you create the input instance and set the points:

Next, the list of segments is created:

Set the segments in the input instance of Triangle:

Triangulate the input with an area constraint:

This extracts the points and elements from the triangulation:

With the following support function, you can visualize the triangles:

To compute the area of each of the triangles of the object, you write a support function first:

The area of each triangle can then be computed in the following manner:

The total area can then be computed:

To refine some triangles, choose a selection of coordinates. For example, all coordinates where the component is larger than 0.7:

The refinement elements are then found:

The triangles that should not change during refinement are the complement of all triangles and the triangle selected for refinement:

Each triangle that is to be refined gets a new area assigned. Those triangles that should remain unchanged are assigned a :

Set a Triangle instance with the new triangle areas:

By specifying the string "r", the Triangle instance is refined. The string "a" implies that volume constraints are to be fulfilled:

With the following support function, you can visualize the triangles: