Theoretical and Natural Science

- The Open Access Proceedings Series for Conferences


Theoretical and Natural Science

Vol. 31, 07 March 2024


Open Access | Article

The origin, development, and application of fractal geometry theory in architecture

Yifei Guan * 1 , Simi Liu 2 , Yiwei Zhang 3
1 Cheltenham Ladies’ College
2 Beijing No.8 High School
3 St Dunstan’s College

* Author to whom correspondence should be addressed.

Theoretical and Natural Science, Vol. 31, 41-48
Published 07 March 2024. © 2023 The Author(s). Published by EWA Publishing
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citation Yifei Guan, Simi Liu, Yiwei Zhang. The origin, development, and application of fractal geometry theory in architecture. TNS (2024) Vol. 31: 41-48. DOI: 10.54254/2753-8818/31/20240914.

Abstract

Fractal geometry plays a crucial role in the study of fractals, with wide-ranging applications and it is closely related to architectural design creation, notably in architecture. Fractals are becoming more prevalent in today’s society and can be used to describe a variety of extremely irregular items in the actual world. This article aims to provide an overview and analysis of the significant implications of fractal geometry in architecture, exploring its relationship with elements in nature, such as trees. By searching, organizing data, and elucidating examples, the article delves into the origin and basic background of fractal geometry. The use of fractal geometry in architecture demonstrates the perfect symbiosis between fractal and nature through analysis of TOD, the ancient gardens in Suzhou, and other practical applications. One notable fractal algorithm is the L-system, a modeling approach expressing fractal concepts, enabling parameterization and architectural design. Fractal geometry successfully expands possibilities for the harmonious coexistence of architecture and nature, embodying numerous natural features and human-centric ideas.

Keywords

Fractal geometry, Architecture, Nature

References

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2. Mandelbrot B. B. and Blumen A. 1989 Proc. Royal Soci. London Series A Math. Phy. Sci. 423 1864 3-16.

3. Hena R. B., Maruf Hasan Md. and Shujit K. B. 2018 Baris. Uni. J. Part 1 5 12 123-140

4. Kenneth Falconer, Fractal Geometry – Mathematical Foundation and Applications, University of St Andrews, UK, Second Edition

5. Ito T. Teramatsu Y. 1993 Toyo ito Shinkenchiku-sha

6. Toyo I. 2004 Tods Omotesando Building, Tokyo, Japan,

7. Hao W. Qin X. and Shanlin Z. I 2014 The Chinese and foreign architecture 07 79-81

8. Henderson R. 2013 The Gardens of Suzhou Uni. of Pennsylvania Press 1-20

9. Mingjing D. Zhiwei G. and Qingping Z. 2021 Class. Chinese Gard. 37 09 128-132

10. Donghua H. 2020 South China Uni. of Tech. Guangzhou 26-36

11. Yalong M. and Peng Z 2017 Mimetic Architectural Design Based on Fractal Geometry 092-093

12. Yalong M. Guangzhi H. and Jianhua C. 2022 Parametric Architectural Design based on Fractal Iteration 053-054

Data Availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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Volume Title
Proceedings of the 3rd International Conference on Computing Innovation and Applied Physics
ISBN (Print)
978-1-83558-317-3
ISBN (Online)
978-1-83558-318-0
Published Date
07 March 2024
Series
Theoretical and Natural Science
ISSN (Print)
2753-8818
ISSN (Online)
2753-8826
DOI
10.54254/2753-8818/31/20240914
Copyright
07 March 2024
Open Access
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

Copyright © 2023 EWA Publishing. Unless Otherwise Stated