return points defining a refined triangulation obtained by bisection of all edges
        in the triangulation

def uniformly_refine_triangulation(self, faces=False, trisect=False):
        """
        return points defining a refined triangulation obtained by bisection of all edges
        in the triangulation
        """

        if faces:
            lonv1, latv1 = self._add_face_centroids()

        else:
            if not trisect:
                lonv1, latv1 = self._add_spherical_midpoints()
            else:
                lonv1, latv1 = self._add_spherical_tripoints(ratio=0.333333)


        return lonv1, latv1