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:
            x_v1, y_v1 = self._add_face_centroids()

        else:
            if not trisect:
                x_v1, y_v1 = self._add_midpoints()
            else:
                x_v1, y_v1 = self._add_tripoints(ratio=0.333333)

        return x_v1, y_v1