• Title/Summary/Keyword: Fractal Geometry

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A Study on the Characteristics of Organic Expression in Contemporary Architecture with Fractal Geometry (프랙탈 기하학을 활용한 현대건축의 유기적 표현특성에 관한 연구)

  • Roh, Jeong-Ha;Lee, Kuen-Taek;Hong, Hyun-Jin
    • Journal of the Architectural Institute of Korea Planning & Design
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    • v.35 no.4
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    • pp.25-36
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    • 2019
  • Contemporary architecture is showing its deconstruction and departure from modern architecture based on rationality, such as reductionism or virtualism. This means a shift from a mechanistic and ecological world view to an organic and ecological view, from a deterministic reason to a reason for a possible secret static. This study examines the potential of fractals, a scientific theory of complexity that is emerging as a new paradigm in the 21st century, as an appropriate alternative to contemporary complexity architecture. The method and scope of this study were understood and its features were identified through literature and data research and prior study review. Based on the organic nature of fractal geometry, we analyzed the works of contemporary architects(Frank Gehry, Bernard Tschumi, Steven Holl, Zaha Hadid, Rem Koolhaas, Daniel Libeskind, Zvi Hecker, Ito Toyo) and studied the possibility of architectural design using the principle of fractal. As a result, fractal geometry, similar to the patterned order of nature, has an infinite set of organizational functionalities in architecture and can be applied in various aspects of design analysis. Architectural designs based on the fractal theory will require more research and development to realize dynamic design representation using digital computers.

Crack Growth Behavior of Cement Composites by Fractal Analysis (시멘트 복합체의 균열성장거동에 관한 프랙탈 해석)

  • 원종필;김성애
    • Journal of the Korea Concrete Institute
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    • v.13 no.2
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    • pp.146-152
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    • 2001
  • The fractal geometry is a non-Euclidean geometry which discribes the naturally irregular or fragmented shaps, so that it can be applied to fracture behavior of materials to investigate the fracture process. Fractal curves have a characteristic that represents a self-similarity as an invariant based on the fractal dimension. This fractal geometry was applied to the crack growth of cementitious composites in order to correlate the fracture behavior to microstructures of cemposite composites. The purpose of this study was to find relationships between fractal dimensions and fracture energy. Fracture test was carried out in order to investigate the fracture behavior of plain and fiber reinforced cement composites. The load-CMOD curve and fracture energy of the beams were observed under the three point loading system. The crack profiles were obtained by the image processing system. Box counting method was used to determine the fractal dimension, D$_{f}$. It was known that the linear correlation exists between fractal dimension and fracture energy of the cement composites. The implications of the fractal nature for the crack growth behavior on the fracture energy, G$_{f}$ is appearent.ent.

Analysis of Filamentous Fungal Growth and Pellets Formation by Fractal Geometry (Fractal 기하학을 이용한 균사의 성장과 구체 형성의 특성 분석)

  • 류두현
    • KSBB Journal
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    • v.10 no.2
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    • pp.119-125
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    • 1995
  • The morphology of fungal growth, which is an important variable for separability and rheological property of fermented medium, was quantified with fractal geometry Fractal dimensions were determined for submerged growth of two industrially important fungi, Aspergillus niger and Aspergillus oruzae. The tendency of pellet formation was related to the fractal dimension of fungi.

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Analysis of Filamentous Fungal Growth and Pellets Formation by Fractal Geometry (Fractal 기하학을 이용한 균사의 성장과 구체 형성의 특성 분석)

  • 류두현
    • KSBB Journal
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    • v.9 no.5
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    • pp.512-517
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    • 1994
  • The morphology of fungal growth, which is an important variable for separability and rheological property of fermented medium, was quantified with fractal geometry. Fractal dimensions were determined for submerged growth of two industrially important fungi, Aspergillus niger and Aspergillus oryzae. The tendency of pellet formation was related to the fractal dimension of fungi.

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Application of Fractal Geometry to Interfacial Electrochemistry - I. Diffusion Kinetics at Fractal Electrodes

  • Shin Heon-Cheol;Pyun Su-Il
    • Journal of the Korean Electrochemical Society
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    • v.4 no.1
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    • pp.21-25
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    • 2001
  • This article is concerned with the application of the fractal geometry to interfacial electrochemistry. Especially, we dealt with diffusion kinetics at the fractal electrodes. This article first explained the basic concepts of the Sacral geometry which has proven to be fruitful for modelling rough and irregular surfaces. Finally this article examined the electrochemical responses to various signals under diffusion-limited reactions during diffusion towards the fractal interfaces: The generalised forms, including the fractal dimension of the electrode surfaces, of Cottrell, Sand and Randles-Sevcik equations were theoretically derived and explained in chronoamperomety, chronopotentiometry and linear sweep/cyclic voltammetry, respectively.

Application of Fractal Geometry to Interfacial Electrochemistry - II. Impedance Behaviour of Fractal Electrodes

  • Shin Heon-Cheol;Pyun Su-Il
    • Journal of the Korean Electrochemical Society
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    • v.4 no.1
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    • pp.26-33
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    • 2001
  • This article involves the application of the fractal geometry to interfacial electrochemistry. Especially, we gave our attention to impedance behaviour of the fractal electrode. First, this article briefly explained the constant phase element (CPE) in electrochemical impedance and the do Levie's transmission line model. Second, we introduced the Nyikos and Pajkossy's theoretical works to approach the CPE phenomena using the fractal geometry. Finally this article presented other various fractal models for analysing the ac response of the rough electrodes.

The Fractal Phenomenon appeared in the Formativeness of Korean Traditional Costume (한국 전통복식 조형에 나타난 프랙탈적 현상)

  • Kim, So-Hee;Chae, Keum-Seok
    • Journal of the Korea Fashion and Costume Design Association
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    • v.18 no.3
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    • pp.165-181
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    • 2016
  • This study looks into the Korean traditional costume formation and the thoughts of the Korean people that form the foundation of that Korean traditional costume formation. And the goal of this study is in linking the thoughts and formative characteristics reflected in the Korean traditional costume formation to the fractal geometry, in an attempt to reveal correlation between Korean traditional costume formation which have existed for thousands of years to contemporary science of the West. The fractal theory that appeared as the new paradigm of contemporary science displayed similarities with the traditional ideologies of Korea, and the fact that formation principles of fractal appear in the formation of Korean costume, formed based on the Korean ideologies, show magnanimous capacity of the traditional Korean culture. When we look at the concept of fractal, the word fractal refers to the structure in which the shape repeats, where small structure is similar to the whole structure in form in endlessly repeating structure. In other words, 'fractal' means a structure that geometrically untangles the concept of 'self-similarity' which possesses the same shape in parts and in whole, and its major characteristics include 'self-similarity', 'circularity' and 'repeatability'. Korean costumes were formed based on the Han-thoughts, with a structure that possesses parts within the whole and the whole within parts, in accordance with the self-similarity theory of 'fractal'. This study compared studied fractal phenomenon which appear in formation characteristics of Korean traditional costume, which were formed based on the Korean traditional ideology, in other words, Korean costume formation and formation principles of fractal geometry were compared studied.

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Fractal Approaches to Ecological and Limnological Phenomena (생태학적 ${\cdot}$ 육수학적 현상들에 대한 프랙탈의 적용)

  • Chang, Hyun-Jeong;Kang, Sin-Kyu;Lee, Do-Won
    • Korean Journal of Ecology and Environment
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    • v.33 no.2 s.90
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    • pp.69-79
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    • 2000
  • Fractal geometry has become one of prospective research approaches as the complex structure of natural entities is not easily characterized by traditional Euclidean geometry. With the fractal geometry, we can better decipher the complex structure and identify natural and anthropogenic agents of landscape patterns occurring at different spatial scales. The usefulness of fractal, however, has not been fully appreciated among Korean academic societies, especially in ecological and limnological fields. We attempt to address three points in this study. First, we introduce the concept and dimension of fractal and review relevant research approaches, especially with respect to ecological and limnological phenomena. Second, we explore possible applications of fractal to some aspects of geography and land use characteristics in South Korea. For the analyses of fractal dimensions, we used data published in other studies previously and collected for this study. Data were analyzed by a perimeter/area method of fractal dimension for the spatial distribution of global solar radiation and leaf area index, and the movement of wild boars in forested landscapes of mid-eastern Korea. The same approach was also applied to the water channel of a hypothetical river and the shape of reservoirs in Yongin, Kyunggi Province. Finally, we discuss the results and key issues to consider when a fractal approach is employed in ecology and limnology.

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Analysis of Electroluminescent Device Using Fractal Theory (프랙탈 이론을 이용한 발광소자 발광특성 분석)

  • 조재철;박계춘;홍경진
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.15 no.4
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    • pp.332-337
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    • 2002
  • The applicability of models based on fractal geometry to characterize the surface of the EL devices was investigated. Insulating layer and phosphor layer of EL devices were deposited on ITO glass using e-beam method. The images of phosphor layer by scanning electron microscope(SEM) were transformed to binary coded data. The relations between fractal geometry and electrical characteristics of EL devices were investigated. When the fractal dimension of $Cas:EuF_3$ EL device was 1.82 and its grain boundary area was 19%, the brightness of $Cas:EuF_3$ EL device was 261 cd/$\textrm{m}^2$.

Fractal Characteristic Analysis Applied to Fracture Parameter (프랙탈 특성 해석의 파괴역학적 적용)

  • 권오헌;구동희
    • Journal of the Korean Society of Safety
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    • v.13 no.4
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    • pp.71-78
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    • 1998
  • Real crack and fracture surfaces have irregularities producing zigzag contours. These irregularities are analysed by a fractal geometry which has been by a Mandelbrot. We obtained a fractal dimension which is one of the fractal characteristics. It is also estimated by an vertical section method that fractal characteristics in the fractured surfaces can be obtained as the crack grows. Moreover fractal fracture energy that corresponds to an energy release rate is shown to find relationships between fractal dimensions and crack behaviors. From these results, we concluded that a fractal characteristics analysis for a crack can be applied to a fracture mechanics.

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