For being implanted into the medical implant of body lumen, the medical implant includes: the multiple filamentary elements for being woven into the slim-lined construction for having a first end and a second end and limiting implantation material lumen, wherein the cross section of the slim-lined construction is non-uniform along its length, or wherein the cross section of the slim-lined construction is uniform along its length, but it is non-circular, and the length that wherein length of each filament parts is measured from the first end of the structure to second end is of substantially equal.