An application of Grossone to the study of a family of tilings of the hyperbolic plane

被引：24
作者：
Margenstern, Maurice [1 ,2 ]
机构：
[1] Univ Paul Verlaine Metz, UFR MIM, Lab Informat Theor & Appl, EA 3097, F-57045 Metz, France
[2] Univ Nancy 1, CNRS, UMR 7503, F-54506 Vandoeuvre Les Nancy, France
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 16期
关键词：
Grossone; Numerical systems; Tilings; Hyperbolic geometry; INFINITE;
D O I：
10.1016/j.amc.2011.04.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we look at the improvement of our knowledge on a family of tilings of the hyperbolic plane which is brought in by the use of Sergeyev's numeral system based on grossone, see [17-19]. It appears that the information we can get by using this new numeral system depends on the way we look at the tilings. The ways are significantly different but they confirm some results which were obtained in the traditional but constructive frame and allow us to obtain an additional precision with respect to this information. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：8005 / 8018
页数：14
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