THE FARFALLE MYSTERY

Autor: Cantat, Serge, Maucourant, François, Moreno, Yago
Přispěvatelé: Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-Institut Agro Rennes Angers, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Popis: In 2017, for the π-day, Mickaël Launay described a remarkable property of the Fibonacci sequence, which he called "le mystère de la farfalle". The name farfalle refers to a shape of pasta that is famous in France, a butterfly-shaped one, in connection with a likewise shape appearing in the numerical experiments. In these experiments, the Fibonacci numbers are put on the circle modulo N, and the segments joining consecutive elements of the sequence are drawn. Launay proposed a prize of 3.14 Euros to whom will explain the phenomenon he had discovered. We provide such an explanation, which illustrates recent works by Kurlberg and Rudnick, and by Bourgain and Glibichuk.
Databáze: OpenAIRE