Set different length constraints for a 1D region:

Set different area constraints for a 2D region:

The areas for the different triangles:

Set an edge length constraint for a 2D region:

The lengths for different edges:

Set a volume constraint for a 3D region:

The volumes for different tetrahedra:

Set a face area constraint for a 3D region:

The areas for different faces:

Set an edge length constraint for a 3D region:

The lengths for different edges:

MeshCellHighlight allows you to specify highlighting for parts of a TriangulateMesh:

By making faces transparent, the internal structure of a 3D MeshRegion can be seen:

Individual cells can be highlighted using their cell index:

Or by the cell itself:

MeshCellLabel can be used to label parts of a TriangulateMesh:

Label the vertices and edges of a polygon:

Individual cells can be labeled using their cell index:

Or by the cell itself:

MeshCellMarker can be used to assign values to parts of a TriangulateMesh:

Use MeshCellLabel to show the markers:

MeshCellShapeFunction allows you to specify functions for parts of a TriangulateMesh:

Individual cells can be drawn using their cell index:

Or by the cell itself:

MeshCellStyle allows you to specify styling for parts of a TriangulateMesh:

By making faces transparent, the internal structure of a 3D MeshRegion can be seen:

Individual cells can be highlighted using their cell index:

Or by the cell itself:

The default setting is Automatic:

Generate a "Minimal" quality triangulation:

Generate a "Maximal" quality triangulation:

Explicitly set a quantitative quality goal:

Use MeshRefinementFunction to make the edges smaller left of the origin:

Use MeshRefinementFunction to make the triangles in the first quadrant smaller:

Set a continuously varying area constraint:

Discretize the region more finely in the first orthant:

Use a theme with grid lines and a legend:

Use a theme to draw a wireframe: