//Create one triangle
var indices = new int[3]
{
    0, 1, 2
};
//The triangles points.
var points = new Point3d[3]
{
    new Point3d(0, 0, 0),
    new Point3d(1, 0, 0),
    new Point3d(1, 1, 0)
};
var mesh = new Polyhedron3<EIK>(points, indices);

//Allow quads to be used.
//If false only triangles will be created.
bool allowQuads = true;
var mesh = PolyhedronFactory<EIK>.CreateCube(1, allowQuads);

//Create the object that holds the indices
var indices = new PolygonalIndices();
//quads indices is null so create.
indices.quads = new int[]
{
    0, 1, 2, 3
};
//Create the points for a single quad
var points = new Point3d[]
{
    new Point3d(0, 0, 0),
    new Point3d(1, 0, 0),
    new Point3d(1, 1, 0),
    new Point3d(0, 1, 0)
};
//Create the mesh.
var mesh = new Polyhedron3<EIK>(points, indices);

//subdive the mesh twice.
mesh.Subdive(2);
//Simplify the mesh by removing %50 of the points.
mesh.Simplify(0.5);
//Refine by adding new points.
mesh.Refine();
//If the has unconnected components the split them
var meshes = new List<Polyhedron3<K>>();
mesh.Spilt(meshes);
//Add much more...