Fibonacci words, hyperbolic tilings and grossone

被引：27
|
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.
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页码：3 / 11
页数：9
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