The symmetry concerns the vertices (extremes of the vectors) of the first half of the funicular polygon and the origins (shared between them) of the "pseudoclotoids" that make up the second part of the funicular polygon. A simple method to accurately position the symmetry axis of a funicular polygon produced by the Riemann zeta (s) function; this is only possible if the real part of (s) is 1/2. For what reasons the nonsymmetrical funicular polygons (generated by the Riemann zeta (s) function) cannot converge on the origin of the complex plane