Fibonacci words, hyperbolic tilings and grossone

被引：26

作者：

Margenstern, Maurice ^{[1
]}

机构：

[1] Univ Lorraine, Lab Informat Theor & Appl, EA 3097, F-57045 Metz, France

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 21卷 / 1-3期

关键词：

Fibonacci words; Tilings; Hyperbolic plane; Grossone; BLINKING FRACTALS; INFINITESIMALS; NUMBERS;

D O I：

10.1016/j.cnsns.2014.07.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the contribution of the theory of grossone to the study of infinite Fibonacci words, combining this tool with the help of a particular tiling of the hyperbolic plane: the tiling {7, 3}, called the heptagrid. With the help of the numeral system based on grossone, we obtain a richer family of infinite Fibonacci words compared with the traditional approach. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：3 / 11

页数：9

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