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The first time I faced Syracuse conjecture I thought it was easier to start from any number n and to arrive to ni to the proof proposed by me, I have discovered many properties and peculiarities of this famous conjecture. It hides the magical harmony of odd numbers, and may be a type of law on the expansion of Cosmos based on the power of 2, as prophesied by Plato in some of his writings. So my work takes on a…mehr

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Produktbeschreibung
The first time I faced Syracuse conjecture I thought it was easier to start from any number n and to arrive to ni < n rather than fall down to 1. In this way I could not take into consideration even numbers, because if n is even then n → n/2 < n. So I had only to examine the odd numbers. In addition to the proof proposed by me, I have discovered many properties and peculiarities of this famous conjecture. It hides the magical harmony of odd numbers, and may be a type of law on the expansion of Cosmos based on the power of 2, as prophesied by Plato in some of his writings. So my work takes on a popular and didactic value of this marvelous conjecture. In this paper I have only used arithmetic and elementary number theory, but, in spite of its simple enunciation, Syracuse Conjecture is a difficult topic, therefore this article needs a lot of patience in reading for a well-understanding. I have considered that various applications and examples were needed for better explain my work.


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Autorenporträt
Born in Foligno (Umbria Italy) on June 6, 1947. Degree in Mathematics (1972) at the University of Perugia, with a thesis on non-Euclidean geometry. He taught mathematics in high schools with innovative teaching methods, linking it to its history and philosophy.