The boundary of Rauzy fractal and discrete tilings

Hyosang Kang; Woojin Choi; Jeonghoon Rhee; Youchan Oh

doi:10.1016/j.csfx.2025.100126

The boundary of Rauzy fractal and discrete tilings

Hyosang Kang, Woojin Choi, Jeonghoon Rhee, Youchan Oh

School of Undergraduate Studies

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	100126
Journal	Chaos, Solitons and Fractals: X
Volume	14
DOIs	https://doi.org/10.1016/j.csfx.2025.100126
State	Published - Jun 2025

Bibliographical note

Publisher Copyright:
© 2025

Keywords

Discrete tiling
Fractal boundary
Rauzy fractal
Substitution

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10.1016/j.csfx.2025.100126

Cite this

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KW - Substitution

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The boundary of Rauzy fractal and discrete tilings

Abstract

Bibliographical note

Keywords

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