• 제목/요약/키워드: Fractal shapes

검색결과 36건 처리시간 0.032초

융합연구를 위한 프랙털 생성의 Evo-Devo 생물학적 고찰 (Consideration of Evo-Devo in the Morphogenesis of Fractal Structures in Ammonites)

  • 이유리;김옥희;김철희
    • 한국융합학회논문지
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    • 제8권8호
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    • pp.185-190
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    • 2017
  • 자연현상에서 발견되는 프랙털 (fractal) 구조는 자기 유사성 (self-similarity)의 반복된 형태로, 생명체의 발생과 기관 형성에서도 자주 관찰된다. 특히, 수많은 종류의 암모나이트에서 관찰되는 봉합선 (suture)의 복잡, 다양한 형태는 프랙털 생성에 대한 생물학적인 이해를 위한 좋은 연구소재이다. 본 연구에서는 희귀하게 초기 발생단계의 봉합선 구조가 매우 잘 보전된 Eogaudryceras sp.를 대상으로 봉합선 형성의 과정을 분석하고자 하였으며, 일반적으로 구하기 힘든 부위인 나선 (spiral) 중심부 1mm 이내의 현미경적인 관찰을 실시하였다. 아직 봉합선의 프랙털 구조 생성에 대한 생물학적인 기전은 아직 불분명한 상태이나, 본 연구를 통하여 암모나이트 발생초기에 프랙털 구조의 복잡성이 단계별로 분명한 차이가 있음을 발견하였다. 이러한 결과는 하나의 생명체 내에서 "Evo-Devo"의 여러 발생단계의 변화를 동시에 보여줄 수 있는 좋은 예시로서, 향후 프랙털 구조의 생물학적인 기전 연구 및 관련되는 다양한 융합학문에서의 접목과 활용이 기대된다.

프랙털 도형과 카오스 게임 탐구 (A Study on the Fractal and Chaos Game)

  • 김수환;윤준서;조민준
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제33권2호
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    • pp.67-84
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    • 2019
  • 본 논문은 창의적 교육용 웹 기반 OKMINDMAP을 활용하여 중3학생 2명을 연구대상자로 선정하여 2018년 3월부터 12월까지 100시간의 수업과 여름방학의 2박3일 집중캠프를 통한 집중탐구활동의 결과물이다. 교사는 조력자로 연구문제는 학생 2명이 스스로 선정하였으며 다양한 프랙털 도형에 관한 차원을 생성함수를 변형하여 조사하였으며, 변형 시어핀스키 삼각형에서도 카오스게임이 가능함을 보인 연구물이다.

모듈화(Modularity) 개념이 적용된 가구디자인 연구 - 프랙탈 개념을 중심으로 - (A Study on Modularity Concepts of Furniture Design - Focus on Fractal Concepts -)

  • 이현정
    • 한국가구학회지
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    • 제21권5호
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    • pp.380-391
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    • 2010
  • Modular furniture's colors, materials, finishing materials and quantities are determined by users' tastes and it's diverse functions, shapes and sizes are determined by the spaces of users. That is, modules satisfy the diversity of consumers, meet differentiated individuals' tastes and enable communications with consumers rather than delivering one-way messages of designers. The contemporary spaces of the 21st century have been gradually shifting from uniform spaces attaching weight on individuals' individuality and tastes and along with it, the consumption of expensive custom-made furniture and foreign branded furniture is increasing to satisfy those small numbers of consumers who want to express diversified individuality. The modular furniture as a concept which is the most suitable to Mass Customization can be produced in large quantities while considering the diverse needs and tastes of individuals and it does not have absolute shapes or sizes. The concept of modular furniture shows similarities to the creation of fractals that forms shapes by self similarities, repeats and similar transformations which is in the same context as the characteristics of a modular design that presents diversity with scales, materials and jointing points. Fractals will be combined with the digital media of today to present great plasticity and influence designers more heavily. Pursuit of new modeling is a requisite for the creation of future spaces and it will require continuous creativity and the transformable modular furniture will contribute to the satisfaction of diverse consumers' needs. This study is to propose the modular furniture that considers the diversity of the public in the 21st century and their individuality and that will enable interactions between designers and consumers.

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차단판에 의해 운동이 제한된 외팔보의 혼돈 진동 (Chaotic Vibrations of a Cantilevered Beam with Stops to Limit Motions)

  • 최봉문;류봉조;김영식;구경완
    • 전기학회논문지
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    • 제66권12호
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    • pp.1852-1865
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    • 2017
  • The vibration of the structures with restrained motion has long been observed in various engineering fields. When the motion of vibrating structure is restrained due to the adjacent objects, the frequencies and the mode shapes of the structure change and its vibration characteristics becomes unpredictable, in general. Although the importance of the study on this type of vibration model increases in many engineering areas, most studies conducted so far are limited to the theoretical study on dynamic responses of the structure with stops, including some experimental works. Specially, the study on the nonlinear phenomena due to the impact between the structure and the stops have been mainly performed theoretically. In the paper, both numerical analyses and experiments are conducted to study the chaotic vibration characteristics of the nonlinear motion and the dynamic response of a cantilevered beam which has restrained motion at the free end by the stops. Results are presented for various magnetic forces and gaps between the beam and stops. The conclusions are as follows : Firstly, Numerical simulation results have a good agreement with experimental ones. Secondly, the effect of higher modes of beams are increased with increasing magnitude of exciting force, and displacement and velocity curves become more complicated shapes. Thirdly, nonlinear characteristics tend to appear greatly with increasing magnitude of exciting force, and fractal dimension is increased.

산림기반 야생동식물보호구역 조경을 위한 기초연구 (A Preliminary Study on the Adjustment of Forest-based Wildlife Protection Area)

  • 장갑수
    • 한국조경학회지
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    • 제36권1호
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    • pp.62-69
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    • 2008
  • This study was conducted in order to recommend forest-based wildlife protection areas in Chung-nam Province using several basic habitat conditions. The conditions used in this study were the forest patch size with the potential to keep wildlife animals safe, the distance from water sources, and the availability of food for wildlife. The fractal dimension index was also used to find the edge line dynamics, which can influence on habitat conditions for edge species. The natural conservation management indices including a forest map (indicating the level of forest age), a slope map, and an elevation map were used to find the forest patches with enough space for wildlife to live on. Water resources and their buffer areas were considered as factors to protect the space as an ecological corridor. Deciduous trees and trees mixed with deciduous trees and conifers were chosen to provide wildlife animals their food. In total, 525 forest patches were chosen and recommended for the wildlife protection area. Five of these forest patches were recommended as wildlife protection areas managed by the provincial government. The other 520 forest patches were recommended to protect local wildlife animals and be managed by each county or city. These forest patches were located around the Geum-buk and Geum-nam mountains, and the forest patches are important resources as habitats to keep wildlife in the area. An ecological network consists of these separate forest patches with the ecological integration. A fractal dimension index was used to divide forest patches into several categories in order to find how patches are shaped. The forest patches with longer edges or more irregular shapes have a much higher possibility of being inhabited by various types of edge species. Through comparison of the wildlife protection areas recommended in this study to the current wildlife protection areas, we recognized that the current wildlife protection areas need boundary adjustments in order for wildlife animals to survive by themselves with water sources and food.

집수평면의 신장도에 대한 정량적 평가 (The Quantitative Evaluation of Catchment Plan-Form Elongation)

  • 김주철;이상진;노준우
    • 한국공간정보시스템학회 논문지
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    • 제11권3호
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    • pp.1-8
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    • 2009
  • 본 연구에서는 집수평면의 신장도와 밀집도 그리고 등가타원에 대한 개념을 이론적인 고려와 함께 실제 유역에 적용하여 보았다. GIS를 기반으로 산정된 대상유역들에 대한 집수평면과 등가타원을 상류로부터 하류방향으로 진행하면서 변화 양상을 관찰해 본 결과 현재 논의되고 있는 Hack의 법칙에 대한 두 가설이 무작위적으로 상호작용을 할 경우 나타날 수 있는 유역 형상들에 대한 모집단처럼 보여졌다. 또한 집수평면의 최대 및 최소관성적률의 비 $R_i$가 유로연장과 집수평면에 대한 등적원(等積圓)의 직경 사이의 비 E보다 유역형상의 신장도를 보다 민감하게 평가하는 것으로 나타났다. 집수평면에 대한 밀집도는 정의별로 상이한 양상을 보였다. 이러한 결과는 형상의 정량화가 갖는 난점에 기인하는 것으로 2개 이상의 밀집도들에 대한 복합적 고려를 통한 평가나 프랙탈 이론의 적용 등이 앞으로 수행되어야 할 것으로 보인다.

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이중응집이 응집공정에 미치는 영향 (Effects of Dual-Coagulant Performance)

  • 김희근;문병현;김승현
    • 상하수도학회지
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    • 제19권1호
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    • pp.92-97
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    • 2005
  • This research is to investigate the effect of the dual coagulant using inorganic coagulants($AICl3{\cdot}6H2O$) and polymer on the coagulant process. Jar-test was conducted by using Kaolin injected raw water. PDA(Photometric Dispersion Analyzer) equipment in order to analyze the size of the particles and the characteristics of the shapes. The change in the rate of sample ores' residual deposited after coagulants were also compared. According to the result derived from this experiment, the concentration of inorganic coagulant reduced 50% and the residual was lower by using dual coagulants compared to using single coagulant. However the dual coagulant required sufficient mixing time, and affected particle characteristics, with the effect of the injection order of coagulants, the simultaneous injection of inorganic coagulant and polymer showed the most effective in the particle removal.

건축적 패션 디자인의 구조적 전략 (Tectonic Strategies in Architectonic Fashion Design)

  • 임은혁
    • 패션비즈니스
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    • 제18권1호
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    • pp.164-181
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    • 2014
  • As the boundary between fashion and architecture is getting blurred, the interactions of the two fields are turning out abundant as well as essential. This study investigates the tectonic strategies in architectural fashion design as a novel aesthetic in the 21st century by combining literary survey and case analysis on architecture and contemporary fashion. The tectonic strategies in the works of architectural fashion designers were categorized as follows: organic geometry, technological garment construction, and independent space. Organic geometry transforms basic geometric shapes into subtle organic forms after being thrown on the body. Technological garment construction explores the garment structure and volume by applying the structural principle of suspension and fractal geometry. Independent space refers to maintaining the firm three-dimensionality of garment structure which keeps the distance from the body, assuming the similarity to architecture.

제한된 운동을 갖는 외팔보의 진동특성 (Vibration Characteristics of a Cantilevered Beam with Restrained Motions)

  • 최봉문;류봉조;윤충섭
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2000년도 춘계학술대회 논문집
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    • pp.578-582
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    • 2000
  • When the motion of vibrating structure is restrained due to the adjacent objects, the frequencies and the mode shapes of the structure change and its vibration characteristics becomes unpredictable, in general. Although the importance of the study on this type of vibration model increases in many engineering areas, most studies conducted so far are limited to the theoretical study on dynamic responses of the structure with the separation plate, including some experimental works. In the paper, both numerical analyses and experiments are conducted to study the chaotic vibration characteristics and the dynamic response of a fixed-free beam which has restrained motion at the free end by the separation plates. Results are presented for various magnetic forces and gaps between stops.

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자연법칙으로서 기하학과 공간 개념의 전개에 관한 연구 - 화이트헤드의 자연법칙 학설을 중심으로 - (A Study on the Development of Geometry as the Natural Laws and the Concepts of Space - Focus on the Whitehead's theories of natural laws -)

  • 황태주
    • 한국실내디자인학회논문집
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    • 제19권2호
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    • pp.90-98
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    • 2010
  • The concepts of laws like regularity or persistence or recurrence those are discovered in nature, became the essential elements in speculative philosophy, study and scientific technology. Western civilization was spread out by these natural laws. As this background, this study is aimed to research the theories of natural laws and the development of geometry as the descriptive tools and the development aspects of the concepts of space. According to Whitehead's four theories on the natural laws, the result of this study that aimed like that as follows. First, the theories on the immanence and imposition of the natural laws were the predominant ideas from ancient Greek to before the scientific revolution, the theory on the simple description like the positivism made the Newton-Cartesian mechanism and an absolutist world view. The theory on the conventional interpretation made the organicism and relativism world view according to non-Euclidean geometry. Second, the geometrical composition of ancient Greek architecture was an aesthetics that represented the immanence of natural laws. Third, in the basic symbol of medieval times, the numeral symbol was the frame of thought and was an important principal of architecture. Fourth, during the Renaissance, architecture was regarded as mathematics that made the order of universe to visible things and the geometry was regarded as an important architectural principal. Fifth, according to the non-Euclidean geometry, it was possible to present the natural phenomena and the universe. Sixth, topology made to lapse the division of traditional floor, wall and ceiling in contemporary architecture and made to build the continuous space. Seventy, the new nature was explained by fractal concepts not by Euclidean shapes, fractal presented that the essence of nature had not mechanical and linear characteristic but organic and non-linear characteristic.