Pentagramma Mirificum. II

This article is a continuation of my previous paper on miraculous pentagrams published in Annales Scientifiques de Faculté des Sciences de Toulouse in 2013. We discuss the moduli space of miraculous pentagrams which is the Del Pezzo surface of degree 5, and present some examples related to Fibonacci numbers. We discuss also some relations between Fermat ascent and Poncelet theorem.