FRACTAL TILINGS FROM SUBSTITUTION TILINGS

Xinchang WANG; Peichang OUYANG; Kwokwai CHUNG; Xiaogen ZHAN; Hua YI; Xiaosong TANG

doi:10.1142/S0218348X19500099

FRACTAL TILINGS FROM SUBSTITUTION TILINGS

Xinchang WANG
, Peichang OUYANG^*
, Kwokwai CHUNG
, Xiaogen ZHAN
, Hua YI
, Xiaosong TANG

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

2 Citations (Scopus)

Abstract

A fractal tiling or ƒ-tiling is a tiling which possesses self-similarity and the boundary of which is a fractal. By substitution rule of tilings, this short paper presents a very simple strategy to create a great number of ƒ-tilings. The substitution tiling Equithirds is demonstrated to show how to achieve it in detail. The method can be generalized to every tiling that can be constructed by substitution rule.

Original language	English
Article number	1950009
Journal	Fractals
Volume	27
Issue number	2
Online published	7 Mar 2019
DOIs	https://doi.org/10.1142/S0218348X19500099
Publication status	Published - Mar 2019

Research Keywords

Fractal
Tiling
Equithirds
Substitution Tiling

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title = "FRACTAL TILINGS FROM SUBSTITUTION TILINGS",

abstract = "A fractal tiling or ƒ-tiling is a tiling which possesses self-similarity and the boundary of which is a fractal. By substitution rule of tilings, this short paper presents a very simple strategy to create a great number of ƒ-tilings. The substitution tiling Equithirds is demonstrated to show how to achieve it in detail. The method can be generalized to every tiling that can be constructed by substitution rule.",

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language = "English",

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T1 - FRACTAL TILINGS FROM SUBSTITUTION TILINGS

AU - WANG, Xinchang

AU - OUYANG, Peichang

AU - CHUNG, Kwokwai

AU - ZHAN, Xiaogen

AU - YI, Hua

AU - TANG, Xiaosong

PY - 2019/3

Y1 - 2019/3

N2 - A fractal tiling or ƒ-tiling is a tiling which possesses self-similarity and the boundary of which is a fractal. By substitution rule of tilings, this short paper presents a very simple strategy to create a great number of ƒ-tilings. The substitution tiling Equithirds is demonstrated to show how to achieve it in detail. The method can be generalized to every tiling that can be constructed by substitution rule.

AB - A fractal tiling or ƒ-tiling is a tiling which possesses self-similarity and the boundary of which is a fractal. By substitution rule of tilings, this short paper presents a very simple strategy to create a great number of ƒ-tilings. The substitution tiling Equithirds is demonstrated to show how to achieve it in detail. The method can be generalized to every tiling that can be constructed by substitution rule.

KW - Fractal

KW - Tiling

KW - Equithirds

KW - Substitution Tiling

UR - https://www.scopus.com/pages/publications/85062589779

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85062589779&origin=recordpage

U2 - 10.1142/S0218348X19500099

DO - 10.1142/S0218348X19500099

M3 - RGC 21 - Publication in refereed journal

SN - 0218-348X

VL - 27

JO - Fractals

JF - Fractals

IS - 2

M1 - 1950009

ER -

FRACTAL TILINGS FROM SUBSTITUTION TILINGS

Abstract

Research Keywords

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