International Journal of Internet, Broadcasting and Communication

The Institute of Internet, Broadcasting and Communication (한국인터넷방송통신학회)
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Research on the Application of Fractal Geometry in Digital Arts

  • Xinyi Shan (Dept. of Multimedia, Gradute School of Digital Image and Contents, Dongguk University) ;
  • Jeanhun Chung (Dept. of Multimedia, Gradute School of Digital Image and Contents, Dongguk University)
  • Received : 2023.03.27
  • Accepted : 2023.04.07
  • Published : 2023.05.31
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Abstract

Fractal geometry, a relatively new branch of mathematics, was first introduced by Benoit Mandelbrot in 1975. Since then, its applications have expanded into various fields of natural science. In fact, it has been recognized as one of the three significant scientific discoveries of the mid-20th century, along with the Dissipative System and Chaos Theory. With the help of fractal geometry, designers can create intricate and expressive artistic patterns, using the concept of self-similarity found in nature. The impact of fractal geometry on the digital art world is significant and its exploration could lead to new avenues for creativity and expression. This paper aims to explore and analyze the development and applications of fractal geometry in digital art design. It also aims to showcase the benefits of applying fractal geometry in art creation and paves the way for future research on sacred geometry.

Keywords

Acknowledgement

This work was supported by the Dongguk University Research Fund of 2022.

References

  1. Xinyi Shan, Jeanhun Chung, "A Study on the Development Direction of Traditional Cultural Contents in the Age of Convergence Media", The Journal of The Institute of Internet, Broadcasting and Communication, Vol. 22, No. 3, pp. 99-104, 2022. DOI: https://doi.org/10.7236/JIIBC.2022.22.3.99
  2. Mandelbrot, Benoit B,"The Fractal Geometry of Nature", Deutsche Literaturzeitung fur Kritik der internationalen Wissenschaft, Vol. 105, No.5, 1984.
  3. Xinyi Shan, Damian Kim, "A Study on the Scalability of Digital Art Using Fractal Geometry", Journal of Convergence Contents, Vol.5 No.1, pp.10-12, Spring
  4. Trochet. Holly, "A History of Fractal Geometry", MacTutor History of Mathematics Archived from the original on March 12, 2012.
  5. Assist. Prof. Dr. Doaa Ismail Ismail Attia, "The Fractal shapes in Islamic design & its effects on the occupiers of the interior environment (case study: El Sultan Hassan mosque in Cairo)", pp. 1-22, 2020. DOI: https://doi.org/10.21608/mjaf.2020.34245.1689
  6. Jisu Jang, Jeanhun Chung, "A Study on the Digital Craft Convergence Cases Using 3D Printing Technology", Journal of The Institute of Internet, Broadcasting and Communication, Vol. 22, No. 3, pp. 105-110, 2022. DOI: https://doi.org/10.7236/JIIBC.2022.22.3.105
  7. Xiaodi Cui, Xinyi Shan, Jeanhun Chung, "A Color Study of the Sky Area Focused on the Van Gogh's Paintings", International Journal of Internet, Broadcasting and Communication, Vol. 15, No. 1, pp. 113-119, 2023. DOI: https://doi.org/10.7236/IJIBC.2023.15.1.113
  8. Min-Jin Cho, Yoo Youngsun, "An Analysis of the Characteristics for Fractal Art Prints on Fashion Design", Journal of the Korean Society of Costume, Vol. 68, No. 4, pp.76-89, 2018. DOI: https://doi.org/10.7233/jksc.2018.68.4.076