A note on a self-similar tiling generated by the minimal Pisot number

被引：3

作者：

Luo, J ^{[1
]}

机构：

[1] Zhongshan Univ, Sch Math & Comp Sci, Guangzhou 510275, Peoples R China

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2002年 / 10卷 / 03期

关键词：

self-similar tiling; Pisot number; attractor;

D O I：

10.1142/S0218348X02001245

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This note considers a self-similar tiling T of the complex plane generated by the minimal Pisot number beta. It will show that the boundary of every tile in T is a simple closed curve, hence each tile is homeomorphic to the unit disk.

引用

页码：335 / 339

页数：5

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