• Title/Summary/Keyword: Geometric approach

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A Study on Teaching of the Elements of Geometry in Secondary School (중학교 기하 교재의 '원론' 교육적 고찰)

  • Woo Jeong-Ho;Kwon Seok-Il
    • Journal of Educational Research in Mathematics
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    • v.16 no.1
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    • pp.1-23
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    • 2006
  • It is regarded as critical to analyse and re-appreciate Euclidean geometry for the sake of improving school geometry This study, a critical analysis of demonstrative plane geometry in current secondary school mathematics with an eye to the viewpoints of 'Elements of Geometry', is conducted with this purpose in mind. Firstly, the 'Elements' is analysed in terms of its educational purpose, concrete contents and approaching method, with a review of the history of its teaching. Secondly, the 'Elemens de Geometrie' by Clairaut and the 'histo-genetic approach' in teaching geometry, mainly the one proposed by Branford, are analysed. Thirdly, the basic assumption, contents and structure of the current textbooks taught in secondary schools are analysed according to the hypothetical construction, ordering and grouping of theorems, presentations of proofs, statements of definitions and exercises. The change of the development of contents over time is also reviewed, with a focus on the proportional relations of geometric figures. Lastly, tile complementary way of integrating the two 'Elements' is explored.

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A Cultural Approach to the Aesthetic Characteristics of the 20th Century French Fashion (문화적 접근 방법에 의한 20세기 프랑스 패션의 미적 특성 연구)

  • Jung Yu-Kyung;Chun Hei-Jung
    • Journal of the Korean Society of Costume
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    • v.56 no.1 s.100
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    • pp.81-96
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    • 2006
  • Fashion is very superficial. However, it is expressed through the culture that is a cause of internal change and therefore its contents are defined by the cultural features. In this study, to study the aesthetic properties of the French fashion, the internal fashion contents are defined according to the cultural characteristics of France and based on the definition, the external features are investigated. The cultural characteristic was analyzed based on the reference literatures on the French culture. Based on the cultural characteristics of France, the aesthetical properties of the contemporary French fashion can be analyzed as follows: ${\cdot}$Dualism is the internal contents of the French culture with multiple sources, and it implies that opposing values such as female and male, traditionalism and modernism, simplicity and decoration are coexisting. Simplicity is pursued but decorative elements are in harmony and new phase of time is reflected while certain style has lasted for a long period of time to become a tradition. Furthermore, a rational trend combining masculinity and femininity, simultaneously exist with a trend that emphasizes feminine image. ${\cdot}$Multiculturism is a mysterious feature that has adapted the oriental or other cultural factors into the forms, patterns, colors and material of costumes. It has also been reconstructed with the French and the modern tastes. ${\cdot}$Avant-gardism is pursuing a novel aesthetic value against the former value system. It recognizes the human body as an object of figurative arts therefore emphasizes the body with geometric shapes to deny the fixed-idea, or engraft new materials and technologies to express the futuristic aspects.

Experimental Design Depicted on Hussein Chalayan' Works (Hussein Chalayan의 실험적 디자인)

  • 장애란
    • Journal of the Korean Society of Costume
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    • v.52 no.5
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    • pp.91-107
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    • 2002
  • The purpose of this study was to investigate the experimental design by using deconstructive design and mobile design depicted on Hussein Chalayan' works. Hussein Chalayan, the Turkish-Cypriot who is based in London, says' Challenging is the best word for me'. And so word, 'radical' that has difficult connotations was chosen for this study It implies two menainigs for the word. The first thing is "extreme" - something that is drastic. And 'Applied to clothes', it can probably mean "experimental". He has iconoclastic ideas and his ramp shows are always high on concept, experimentation of art and utility. His approach to fashion derives from philosophical and intellectual theories of deconstruction and mobility, which he expresses through his designs. Deconstructionism, in fashion, rejects customary rules and breaks all conventions. It questions aesthetic norms about bodily proportions and the criteria of beauty, emphasizes the adding on, or discovery of, an irrational moment, and reveals the processes of tailoring in clothing. The shape and the construction of the garment is more important than the color. Cuts. tears, asymmetries, matching different materials are among the most evident features of the deconstructive design. And Chalayan performed the mobile design of transforming furniture into clothes. Chair covers became dresses. a coffee table became a skirt which were designed by Chalayan, with geometric and architectural references. Chalayan says he was inspired by the idea of refugees fleeing. Besides Chalayan uses clothing as an art to reinterpret and reform the human body in a continuous tour de force of body/identity conceptualism and dressmaking. He reflect the body's function in the cultural context of architecture, science, or nature - and then attempt to translate his findings into clothing.dings into clothing.

Study on Shape Design Method of Cycloidal Plate Gear (사이크로이드 판기어의 형상설계법에 관한 연구)

  • Sin, Jung-Ho;Yun, Ho-Eop;Gang, Dong-U
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.1
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    • pp.70-80
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    • 2001
  • A cycloid reducer is one of the rotational velocity reduction equipments of machinery. It has advantages of the higher reduction ratio, the higher accuracy, the easier adjustment of transmission ratio and the smaller workspace than other kinds of reducer. A cycloidal plate gear is a main part of the cycloid reducer. Its tooth shape is peculiar because of gearing with the roller gear that has the several rollers on the circular line. And then it can be designed to contact all teeth to rollers. So, the cycloid reducer has the good characteristics in the dynamic properties and the zero-backlash in the contact motion. It can be used in robots, high-precision machines and high capacity machinery. This paper proposes a new approach for the shape design of the cycloidal plate gear and presents a Computer-Aided-Design program developed by the proposed method. The first part of this paper defines the two types of the cycloid reducers and explains their mechanisms. The second part defines the instant velocity centers for each type of the cycloid reducers and calculates the contact angles and the contact points by using te geometric relationships and the kinematical properties of the reducers. The third part generates the full shape of the cycloidal plate gear by the coordinate transformation technique. Finally, this paper presents two examples for the shape design of the cycloidal plate gear in order to prove the theory of the proposed method in this paper and the accuracy of the \"CycloGear Designer\".

The relation of catchment shape descriptors to lag time (집수형상디스크립터와 지체시간 사이의 관계)

  • Kim, Joo-Cheol;Yoon, Yeo-Jin;Kim, Jae-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.199-203
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    • 2005
  • One of the most important hydrological response characteristics is the lag time. It is well known as being under the influence of the morphometric properties of the basin, which could be expressed by catchment shape descriptors. In this paper, the geometric characteristics of an equivalent ellipse proposed by Moussa(2003) is applied for the lag time analysis. The lag time is obtained from the rainfall-runoff observed data by the method of moments suggested by Nash(1960) and the relationships between the basin morphometric properties and the lag time are discussed as applied to 3 catchments in Korea. Additionally, the shapes of equivalent ellipse are examined how they are transformed from upstream area to downstream one. As a result, the relationship between descriptors based on a equivalent ellipse a+b and $a+b+{\epsilon}OM$, and the lag time is shown to be close and the shape of ellipse is presented to approach a circle along the river downwards. Also, the notion of compactness which is used to express the shape of an irregular plan-form is tried to apply.

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Enhanced Dual Contouring method by using the Feature of Spherical Coordinate System (구면 좌표계의 특성을 이용한 듀얼 컨투어링 기법 개선)

  • Kim, Jong-Hyun;Park, Tae-Jung;Kim, Chang-Hun
    • Journal of the Korea Computer Graphics Society
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    • v.17 no.2
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    • pp.27-36
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    • 2011
  • The Dual Contouring method has an advantage over the primal polygonization methods like the Marching Cube method in terms of better expression of sharp features. In this paper, the Dual Contouring method is implemented in Spherical coordinates, not the Cartesian ones to examine some characteristics. For this purpose, our octree is defined in Spherical coordinates, which is called "S-Octree". Among some characteristics, the proposed Dual Contouring method in the S-Octree tends to produce less vertices at the same octree level. In particular, for any surface models close to surface sphere, the generated mesh surfaces are smoother and more detailed than those of the Cartesian Dual Contouring approach for specific applications including mesh compression where available geometric information is quite limited.

Stability Analysis of Landslides using a Probabilistic Analysis Method in the Boeun Area (확률론적 해석기법을 이용한 보은지역의 사면재해 안정성분석)

  • Jeong, Nam-Soo;You, Kwang-ho;Park, Hyuck-Jin
    • The Journal of Engineering Geology
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    • v.21 no.3
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    • pp.247-257
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    • 2011
  • In this study the infinite slope model, one of the physical landslide models has been suggested to evaluate the susceptibility of the landslide. However, applying the infinite slope model in regional study area can be difficult or impossible because of the difficulties in obtaining and processing of large spatial data sets. With limited site investigation data, uncertainties were inevitably involved with. Therefore, the probabilistic analysis method such as Monte Carlo simulation and the GIS based infinite slope stability model have been used to evaluate the probability of failure. The proposed approach has been applied to practical example. The study area in Boeun area been selected since the area has been experienced tremendous amount of landslide occurrence. The geometric characteristics of the slope and the mechanical properties of soils like to friction angle and cohesion were obtained. In addition, coefficient of variation (COV) values in the uncertain parameters were varied from 10% to 30% in order to evaluate the effect of the uncertainty. The analysis results showed that the probabilistic analysis method can reduce the effect of uncertainty involved in input parameters.

Color Landmark Based Self-Localization for Indoor Mobile Robots (이동 로봇을 위한 컬러 표식 기반 자기 위치 추정 기법)

  • Yoon, Kuk-Jin;Jang, Gi-Jeong;Kim, Sung-Ho;Kweon, In-So
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.9
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    • pp.749-757
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    • 2001
  • We present a simple artificial landmark model and robust landmark tracking algorithm for mobile robot localization. The landmark model, consisting of symmetric and repetitive color patches, produces color histograms that are invariant under the geometric and photometric distortions. A stochastic approach based on the CONDENSATION tracks the landmark model robustly even under the varying illumination conditions. After the landmark detection, relative position of the mobile robot to the landmark is calculated. Experimental results show that the proposed landmark model is effective and can be detected and tracked in a clustered scene robustly. With the tracked single landmark, we extract geometrical information than achieve accurate localization.

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Data interoperability between authoring software and BIM system focused on the office building in conceptual design phase (설계 초기 단계 형상정보 연동 데이터 호환체계 개발 - 오피스 매스를 중심으로)

  • Park, Jung-Dae
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.11
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    • pp.494-500
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    • 2020
  • Owing to the complexity of shapes and elements, some difficulties are found in the modeling and sharing phases in a project at the earlier design stages. This paper extends the boundaries by suggesting the data interoperability between 3D modeling software, McNeel Rhino 3D and BIM system, and Autodesk® Revit® Architecture. The main research methodology is to link the architectural form data in the NURBS supporting the 3DM format, especially for integrating surface properties into the mass family template of Revit. This algorithm-driven interoperability approach using visual programming, such as Dynamo in conjunction with Autodesk®, can be applicable in a theoretical part and also a practical use-case. This paper summarizes these results as sequence guidelines and project template recommendations suggesting an efficient design process to interoperate geometric data with the BIM system to manipulate and control the regular and curved form of office buildings.

Prediction of a Fault Zone ahead of a Tunnel Face based on the Orientation of Displacement Vectors (변위벡터방향성을 이용한 터널 전방 단층대 예측에 관한 연구)

  • Kim, Kwang-Yeom;Yim, Sung-Bin;Kim, Jang-Kyeom;Seo, Yong-Seok;Kim, Jin-Woung
    • The Journal of Engineering Geology
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    • v.20 no.4
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    • pp.371-380
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    • 2010
  • A three-dimensional finite element analysis was performed to predict the location of a fault zone ahead of a tunnel face based on convergence displacement. Geometrical models for the numerical analysis were developed based on the possible geometric intersection between the fault zone and the tunnel. Fifteen fault models were generated from combinations of faults with five different strikes (at $15^{\circ}$ intervals) and three dips (vertical, $45^{\circ}$ and $-45^{\circ}$) relative to the tunnel route. The displacements on the crown and side walls were calculated and analyzed using a vector orientation approach. As a result, nine representative prediction charts were developed, showing location and orientation of the fault zone based on convergence displacement.