 Because of the symmetries and self-duality of the Desargues configuration, the Desargues graph is a symmetric graph.As a projective configuration, the Desargues configuration has the notation (103103), meaning that each of its ten points is incident to three lines and each of its ten lines is incident to three points.Its ten points can be viewed in a unique way as a pair of mutually inscribed pentagons, or as a self-inscribed decagon .