• 한국수학교육학회지시리즈A:수학교육
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• 제42권4호
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• pp.503-521
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• 2003

In this paper, we propose programs of geometry related courses for the department of mathematics education of teacher training universities. We suggest 4 courses, ‘Geometry I’, ‘Geometry II’, ‘Differential Geometry’, ‘Topology’ as geometry related courses in Shin et. al.(2003). Among those 4 courses, we state desirable direction of curricula on 3 courses, ‘Geometry I’, ‘Geometry II’, ‘Differential Geometry’ in this paper.

• 한국패션뷰티학회지
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• 제4권1호
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• pp.28-34
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• 2006

The purpose of this study is to historically examine the thoughts and ideas of geometry and to analyze the expression style of design applied to the mass communication such as magazines and world wide webs, by giving definitions on the ideas of geometry and the pattern of cognition. Geometry was evolved to Descartes's analytical geometry, projective geometry, non-Euclidean geometry and Topology at the end of 19th century. When geometry applies to design styles, it is devided into two field, plane geometry and solid geometry. The development of geometry was completed from the Pythagoras symbolic theory of number to Platonic spiritual geometry and Euclidean geometry. It can be studied that those have what kind of symbolic meanings and transformations on each hair design plan. It can also analized how those symbolic forms are appeared on the design form. This tendency means that there is always a try for the use of geometry as reasonable device for hair design. If the hair design and geometry have logical and artistical relation, we can make buildings which have a order, balance and harmony.

• East Asian mathematical journal
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• 제28권4호
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• pp.403-417
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• 2012

We can understand in the context of kant's philosophy the intuitive geometry education arguing that geometry education should begin with intuition. Both Pestalozzi and Herbart advocate a connection between geometry and intuition as well as a close relationship between geometry and the world. Significance of the intuitive geometry education resizes in the fact that geometry becomes both an example of and a principle of general cognition. The intuitive geometry education uses figures as an educational foundation in the transcendental condition for the main agent of cognition. In this regard, the intuitive geometry education provides grounds for the human character development.

• 대한기계학회논문집A
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• 제21권2호
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• pp.209-216
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• 1997

A feature is well known as a medium to integrate CAD, CAPP and CAM systems. For a part drawing including both simple geometry and compound geometry, a process plan such as the selection of process, machine tool, cutting tool etc. normally needs simple geometry data and non-geometry data of the feature as the input. However, a extended process plan such as the generation of process sequence, operation sequence, jig & fixture, NC program etc. necessarily needs the compound geometry data as well as the simple geometry data and non-geometry data. In this paper, we propose a feature data model according to the result of analyzing necessary data, including the compound geometry data, the simple geometry data and the non-geometry data. Also, an example of the feature data model in milling process planning is described.

• 복식
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• 제62권7호
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• pp.67-78
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• 2012

This study considered and analyzed the influence of changed clothing silhouettes on the textile patterns by investigating the changes of geometry patterns in response to the changes of western women's apparel silhouette in the 1960s. The period scope of research was limited to the 1960s, and the research object was set as the geometry patterns seen in the designer's high-fashion. The researcher investigated the clothing silhouette and the textile patterns in 1960s by reviewing the literature about domestic and foreign books, research papers, domestic and foreign fashion magazines, information on the Internet. For the western women's apparel in 1960s, some active, simple styles were popular under the social atmosphere when more women actively entered the society. Influenced by popular art trends at that time, the silhouette was expressed in the geometry pattern among many textile patterns. The geometry pattern either appeared as a regularly overall repeating geometry pattern and the regularly partial repeating geometry pattern. The regularly overall repeating geometry pattern arranged the straight lines in the same interval. But the regularly partial repeating geometry pattern was arranged without order to emphasize the motif in some parts of clothing or to give some ornament effect, or was arranged asymmetrically.

• 한국수학사학회지
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• 제16권4호
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• pp.59-68
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• 2003

Mathematics and arts are reflection of the spirit of the ages, since they have human inner parallel vision. Therefore, in ancient Greek ages, the artists' cannon was actually geometric ratio, golden section. However, in middle ages, the Euclidean Geometry was disappeared according to the Monastic Mathematics, then the art was divided two categories, one was holy Christian arts and the other was secular arts. In this research, we take notice of Renaissance Painting and Perspective Geometry, since Perspective Geometry was influenced by Renaissance notorious painter, Massccio, Leonardo and Raphael, etc. They drew and painted works by mathematical principles, at last, reformed the paradigm of arts. If we can say Euclidean Geometry is tactile geometry, the Perspective Geometry can be called by visual geometry.

• East Asian mathematical journal
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• 제39권4호
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• pp.479-492
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• 2023

Although Euclidean plane geometry is implemented in the middle school course, there are three major problems in high school space geometry that can be intuitively taken for granted or misinterpreted as circular arguments. In order to solve this problem, this study proved three major problems using sets, Euclidean plane geometry, and parallel line postulates. This corresponds to a logical sequence and has mathematical and mathematical educational values. Furthermore, it will be possible to configure spatial geometry using sets, and by giving legitimacy to non-Euclidean spatial geometry, it will open the possibility of future research.

• 한국정보처리학회논문지
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• 제7권1호
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• pp.252-265
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• 2000

본 논문에서는 3차원 그래픽의 처리 과정 중 부동 소수점 연산이 많은 소요되는 geometry 프로세싱 처리 방법과 계산량을 단계별로 분석하였다. 그리고, 그래픽 프로세싱의 수행 특성을 추출하여, 이에 맞는 기능 유닛을 설계하고, 데이터 처리 방안과 제안하는 geometry 프로세서의 구조를 설명한 다음, 성능을 분석하였다. 제안하는 geometry 프로세서는 부동 소수점 덧셈, 곱셈, 나눗셈 연산을 동시에 수행 가능하며, geometry 프로세싱 전 단계를 수행하는데 23.5%의 성능 향상이 있었다. 그리고, 나눗셈/제곱근 연산을 위해서 면적대 성능비가 우수한 SRT 나눗셈 연산기를 추가하여 곱셈 연산기를 이용하는 연산기보다 약 23%의 성능 향상을 이루었다.

• 대한전자공학회논문지SD
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• 제43권2호
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• pp.24-33
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• 2006

본 논문에서는 휴대용 정보기기 시스템에서 더욱 향상된 실시간 3D 그래픽 가속 능력을 갖는 SoC 구현을 위해 효과적인 3D 그래픽 Geometry 처리 IP 구조를 연구하였다. 이를 기반으로 3D 그래픽 Geometry 처리 과정에 필요한 부동소수점 연산기를 설계하였으며, 내장형 3D 그래픽 국제 표준인 OpenGL-ES를 지원하는 부동소수점 Geometry 프로세서를 설계하였다. 설계된 Geometry 프로세서는 Xilinx-Vertex2 FPGA에서 160k gate의 면적으로 구현되었으며, 80 MHz의 동작주파수 환경에서 실제 3D 그래픽 데이터를 이용하여 Geometry 처리 과정의 성능 측정 실험을 하였다. 실험 결과 80 MHz의 동작주파수에서 초당 1.5M 개의 폴리곤 처리 성능이 확인되었으며, 이는 타 3D 그래픽 가속 프로세서에 비하여 평균 2배 이상의 Geometry 처리 성능이다. 본 지오메트리 프로세서는 Hynix 0.25um CMOS 공정에 의한 측정결과 83.6mW의 소모전력을 나타낸다.

• 한국수학교육학회지시리즈A:수학교육
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• 제46권4호
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• pp.493-502
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• 2007

What is a foundational element of plane geometry? Isn't it possible to constitute the contents of plane geometry from that element? In this paper, we suggest a view point that triangle is a foundational element of plane geometry. And take some examples of reconstruction of usually given contents and mathematical activity centered on the triangle in plane geometry.