Rauzy分形与离散拼接的边界

Q1 Mathematics

Chaos, Solitons and Fractals: X Pub Date : 2025-02-01 DOI:10.1016/j.csfx.2025.100126

Hyosang Kang , Woojin Choi , Jeonghoon Rhee , Youchan Oh

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引用次数: 0

摘要

我们提出了两种构造Rauzy分形的方法，将分形中的所有点划分为不相交的集合，称为层。我们展示了这些分层结构的Rauzy分形如何有效地绘制分形的边界。通过推广该结构的自复制模式，我们展示了一种二维平面离散铺层的新方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$The boundary of Rauzy fractal and discrete tilings$

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The boundary of Rauzy fractal and discrete tilings

We present two methods of constructing the Rauzy fractal by partitioning all points within it into disjoint sets, refer to as layers. We show how these layered structures of the Rauzy fractal can plot the boundary of the fractal effectively. By generalizing the self-replicating pattern of this structure, we demonstrate a new way of discrete tilings of two-dimensional plane.

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来源期刊

Chaos, Solitons and Fractals: X Mathematics-Mathematics (all)

CiteScore

5.00

自引率

0.00%

发文量

审稿时长

20 weeks