Paris Pamfilos, On the diagonal and inscribed pentagons of a pentagon,
Forum Geometricorum, 16 (2016) 207--225.

Abstract. In this article we study two projective maps f and g, naturally associated with a pentagon. We show that, in the generic case, these maps have three distinct fixed points and discuss their reduction to some kind of canonical form, relative to the triangle of these three fixed points. In addition we give descriptions and geometric characterizations of the non-generic pentagons, called axial symmetric and their exceptional case of polygons projectively equivalent to the canonical pentagon.

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