• Communications of Mathematical Education
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• v.15
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• pp.195-200
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• 2003

본 논문은 피타고라스 정리의 다양한 증명 방법을 통하여 피타고라스 정리를 다양한 측면에서 학습할 수 있는 방안을 모색하고자 하였다. 학습자 스스로 증명하는 즐거움을 느낄 수 있도록 피타고라스 정리의 다양한 증명 방법을 체계적으로 제시하였고, 피타고라스 정리의 다양한 증명 방법을 통해 수학적 아름다움을 알 수 있도록 피타고라스 정리의 증명을 활용한 테셀레이션을 제시하였다.

• The Mathematical Education
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• v.46 no.1 s.116
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• pp.81-96
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• 2007

This study was conducted to investigate the possibility of teaching tessellations' mathematical principles in elementary school mathematics. A survey was carried out and the two hours of the instructional experiment were developed for this study triangular tessellation activity and rectangular tessellation activity. Six fifth graders from W elementary school participated voluntarily in the instructional experiment. It was shown from the survey that teachers and students both know what the tessellation is, but they don't know what the mathematical principles really are in the tessellation. This is because they have just done the covering up-activities in class. It was seen from the instructional experiments that even ordinary students were able to understand the mathematical principles of the tessellation if teachers could throw the suitable focusing questions like 'how to move the rectangles making sides equal' and 'how to gather vertexes making angle $360^{\circ}$'. Furthermore, it is desirable to teach the rectangular tessellation prior to the triangular tessellation since the rectangular tessellation is more easy to deal with than the triangular tessellation.

• Journal of Fashion Business
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• v.17 no.2
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• pp.95-116
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• 2013

The purpose of this study is to link traditional patterns to man's fashion goods design. Of all the traditional patterns, the bat pattern was chosen for use during the development of a man's fashion goods design as like as neck-tie, pocketchief and scarf. This study is based upon document searches, including research papers. Thought these searches, it investigates the form of traditional bat patterns, tessellation which can be found easily in the Islamic culture as well as in tile and carpet patterns and a modern painting by Gustav Klimt(1862-1918). Based on this investigation, the study attempt to modernize the bat pattern and apply the neck-tie, pocketchief and scarf. The design procedure includes three sub-processes: selection, arrangement and color-scheme. In conclusion, six designs of man's fashion goods were created by using one of Korea's traditional patterns - the bat pattern. Therefore, this study offer invaluable suggestions for multifaced research on how to come up with design concepts which apply Korea's traditional patterns to Man's fashion goods design.

• Journal of the Korean Institute of Intelligent Systems
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• v.22 no.6
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• pp.687-693
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• 2012

In this paper, we propose a optimal deployment method for cooperative exploration of swarm robots. The proposed method consists of two parts such as optimal deployment and path planning. The optimal area deployment is proposed by the K-mean Algorithm and Voronoi tessellation. The path planning is proposed by the potential field method and A* Algorithm. Finally, the numerical experiments demonstrate the effectiveness and feasibility of the proposed method.

• Communications of Mathematical Education
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• v.14
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• pp.85-102
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• 2001

칠판과 분필만을 이용한 증명 위주의 기하 수업을 탈피하여 현장에서 사용할 수 있는 능동적인 교수${\cdot}$학습에 한가지 방법을 제시하고자 수학에 자신감이 없는 고등학교 1학년 학습 부진아를 대상으로 컴퓨터 프로그램, Tess를 이용하여 학생의 변환 개념에 대한 이해도를 조사하였다. 또한, 테셀레이션을 직접 만들어 가는 과정을 통하여 타 교과와의 수학적 연결성을 이해하고, 수학의 실용성과 실생활과의 연관성, 도형의 아름다움을 학생이 스스로 찾고, 발견하는데 초점을 두었다. 우리의 전통 문양도 수학교육에 충분히 이용될 수 있다는 사실을 확인할 수 있었고, 학생의 수학에 대한 태도가 크게 향상됨을 알 수있었다.

• Communications of Mathematical Education
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• v.13 no.1
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• pp.361-379
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• 2002

본 논문은 재미있고 활동적인 기하 수업을 위한 학습자료를 제시한 것으로써 Amazing Triangle (NCTM, 1993)를 GSP를 활용하여 학교수업에서 사용할 수 있는 방안과 테셀레이션으로 확장시켜 도형의 각의 크기, 대칭과 변화, 합동 등의 학습을 통해 자연스럽게 기하에 관한 수학적 개념과 의미를 익히고 수학적 사고력과 창의력을 키우고자 하였다. 수학에 대한 정의적 측면에서의 향상과 동시에 타교과인 미술 분야에 수학이 어떻게 사용될 수 있는 가도 알 수 있다.

• Communications of Mathematical Education
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• v.9
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• pp.257-266
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• 1999

창의성 신장을 위한 수학 영재 교육 개선 방안에 관한 연구의 일부로 고등학생을 대상으로 한 창의성을 기르는 문제를 개발하였다. 창의성의 요인을 중심으로 민감성 - 수학내용을 이용한 글쓰기, 유창성 - 1998 문제, 융통성 - 수 패턴, 독자성 - 테셀레이션, 재구성 능력 - 공간구성, 완성을 위한 노력 - 패턴구성하기의 6 가지 내용으로 구성하였다.

• The Transactions of The Korean Institute of Electrical Engineers
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• v.61 no.1
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• pp.130-134
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• 2012

In this paper, we propose a space partitioning technique for swarm robots by using the Centroidal Voronoi Tessellation. The proposed method consists of two parts such as space partition and collision avoidance. The space partition for searching a given space is carried out by a density function which is generated by some accidents. The collision avoidance is implemented by the potential field method. Finally, the numerical experiments show the effectiveness and feasibility of the proposed method.

• Journal of the Korean Society of Costume
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• v.66 no.8
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• pp.78-97
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• 2016

The purpose of this study is to develop textile pattern designs by utilizing the prototype of traditional culture extracted from cultural resources in order to establish a specialty strategy for local cultural contents. To achieve this, the study selected the Hyojaemunjado as source of Jeju traditional culture. Jeju's Hyojaemunjado is characterized mainly by the creative and unique formativeness of Jeju's character paintings. Character paintings often contained images related to the characters featured inside characters, or composed stroke with symbolic iconography. The main subjects of Hyojaemunjado were stories that alluded to the Confucian virtues. Therefore, the purpose of this study was to remind people of the real meaning of Shin(truth) by developing textile pattern designs, which borrows the tessellation technique for design, and the dominant characteristic of geometric abstraction. This study used theoretical research and empirical analysis. First, the study did the theatrical research on Hyojaemunjado based on literature and precedent studies, and then analyzed the style of expression and formativeness on the Shin character paintings through real analysis of Jeju's Hyojaemunjado kept in Jeju National University Museum. Second, based on the analysis of the style(three-tier composition) and formativeness of Hyojaemunjado, it analyzed the formativeness of the iconography about Shin, i.e. character types(semi cursive style, square style) drawn according to the symbolic meaning, palace, unknown flower, pheasant, tile fish and constellation. Based on analysis of the iconography, it stylized the motives that became available on the Archimedean tiling of tessellation, and then developed the textile pattern designs by arranging the iconographic motives with Platonic tiling and Semi-tiling. The reason why this study borrowed tessellation was to create various visual effects using the size of angle, symmetry and change and joint with simple figure.

• Journal of the Korean Society of Clothing and Textiles
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• v.30 no.6 s.154
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• pp.948-960
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• 2006

Chogakpos are highly artistic works created by Korean women as a part of the Kyubang culture in the Chosun Dynasty from the late 19th century to the early 20th. Tessellation is a plaid pattern composed of squares that covers a surface or a space with figures completely without any gap or overlap. The present study purposed to make a comparative analysis of the formative pattern of Chogakp and tessellation in order to show the superiority of Korean Kyubang(the women's quarters called Kyubang in the Chosun Dynasty) culture. As for the research method, we analyzed relevant materials to examine the geometric characteristics and formative principles of tessellation. In addition, we analyzed the formative pattern of Chogakpo using Photographs. The scope of this study was limited to 148 old Chogakpos contained in Huh Dong-hwa's 'Yetpojagi'. According to the results of this research, similarities between Chogakpo and tessellation were as follows. First, in a regular polygon, the face was divided into regular triangles, squares and two or more regular polygons. Second, in a polygon, the face was divided into triangles and quadrangles. Third, the symmetry of tessellation was applied to Cintamani pattern Pojagi. Differences between Chogakpo and tessellation were as follows. First, different from Chogakpo, tessellation had various formative patterns utilizing different regular polygons including hexagons. Second, there was no overlapping repetition in tessellation. Third, there was no free pattern in tessellation.