• 한국디자인학회:학술대회논문집
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• 한국디자인학회 2001년도 디자인학연구 2001 봄 학술발표회 논문집
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• pp.146-147
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• 2001

• 한국실내디자인학회논문집
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• 제17권5호
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• pp.40-50
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• 2008

This article examined the applicability of spatial configuration to Escher's works through configurative logics and rules and studied the contrasting relations among the unit elements in Escher's works and their characteristics and the creative process of the characteristics. As the results of the study on the bases to maintain and create the partial elements revealed as the characteristics, it was shown that Escher's sequential transformative works demonstrated diverse expressive characteristics as a creative process of Inter-complementary contrasting relations based on the independence of the unit elements. It was also shown that the creative process of the unit elements was actualized through the maintenance base of the fixed and absolute characteristic as the logic for the creation and the creation base of the dynamic and relative characteristic. Therefore, it was interpreted that by applying the logics for creation to Escher's unit elements through the spatial interpretation of the maintenance base and the creation base as well as by configuring the units created in such a way according to the characteristics of Escher's works, spatial possibility canbe derived out from Escher's contrasting tessellation works. The process of spatial configuration is the process to make a balance between various conditions, artists own understanding of the space and his/her intention of the space. From this viewpoint, the logics for maintenance base and for creation base seem to have the potentiality as a spatial configuration to consistently meet the given conditions as well as to derive out novelty through the transformation to maintain the fixed and absolute condition(base) and the characteristics of the independent(additional) transformation arising together with the implicit relations among the transformative units.

• 디자인학연구
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• 제15권1호
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• pp.5-14
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• 2002

Fractal which was named by Mandelbrot in 1975 and its theory have been taken notice of many fields of scholarship, namely mathematics, physics, geography, architecture, art, philosophy and so on. If we approach Fractal on the basis of the designing cogitation, it can be used not only as one of materials to take a crease thinking in design, also as a due of the methods to assess the design problem with a new point of view. Based on above background, in this study, it was studied on the graphic artist, Morits Collelius Escher who has been well known as the great artist of illusion," and on the attributes of Fractal which were contained in his various work\ulcorner As a reset, the four attributes, namey ′fractal dimension′, ′self-similarity, ′recursiveness′and ′infinity were founded in his works. Also, it was founded that Escher had employed the attributes of Fractal in his almost works for "the representation of the condition of unified-duality," that is to say, for the union of two different dimensions. After this, it is expected that this study shoed be extended to the development of the principle of Fractal-Design on the basis of ′Fractal which can be defined as the phenomenon of repetitious pattern between chaos and order and′the formative beauty of Fractal′.

• 한국실내디자인학회논문집
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• 제39호
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• pp.12-19
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• 2003

M.C Escher was not a mathematician or architect, but a visual graphic woodblock artist. He expresses space in various angles such as illusion and space not represented in reality, repetition, geometric pattern and change in space vision. However, as his works represent the impossible space which is virtually not exist in reality, they were examined numerically by scientists and mathematicians rather than by designers. Because his distinctive approach to view space, his works have been highly evaluated by scholars in various fields. Based on the previous research by mathematicians and scientists, this study will examine the sp- atial logic was represented visually in the works of M.C Escher and find out the possible and adoptable alternatives for new space design and provide the design application direction in the expression of interior space.

• 한국콘텐츠학회논문지
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• 제9권7호
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• pp.102-109
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• 2009

본 논문에서는 M.C. Escher의 작품들에서 볼 수 있는 비현실적 그림을 생성할 수 있는 알고리즘을 제안한다. 본 논문에서 초점을 맞추는 비현실적 그림 스타일은 물체의 높이값을 속임으로써, 관찰자의 시점에서 관찰하였을 때 오르막(혹은 내리막)이 현실적으로 불가능하게 고리형으로 맞물려 있는 비현실적 그림이다. 제안하는 알고리즘은 해당 그림이 물리적인 높이의 개념을 반영한 것이 아니라, 화가 자신이 고리형 경로에 임의로 높이가 증가하는 것처럼 보이는 방향을 설정하였다는 이론적인 분석에 기반하고 있다. 기본적인 아이디어는 계층적 깊이 영상을 이용하여 오르막 방향으로 전진할 때 실제 높이값은 증가하지 않지만, 계층적 깊이 영상의 계층값을 조작하여 인접한 물체들 간의 높낮이가 존재하는 것처럼 보이도록 하는 것이다. 본 논문에서는 사용자가 고리형 경로와 각 물체에 대한 계층값을 디자인할 수 있는 시스템을 제안하고 이를 통해 제작된 다양한 비현실적 그림을 보인다.

• 한국수학교육학회지시리즈D:수학교육연구
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• 제9권3호
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• pp.275-284
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• 2005

Tessellations are the pattern of iterations of geometric symmetry and translation. We can find them in the works of Escher who is the famous Dutch artist, and the American Indean life. Also, we can find the beauty of tessellations in the Korean traditional house door, Buddist temple architecture, palace's fence, etc. In the article, the figures of patterns we present are bird, fish, cat, pig, elephant, penguin, child and horse riding man, including Escher's, which are constructed using the computer geometric program, GSP (Geometer's Sketchpad). We want to talk about girl's disposition toward mathematics related to the figures. If they are supported by this kind of interesting figures constructed by their own hands, students will have more interest in learning geometric figures.

• 한국콘텐츠학회논문지
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• 제10권4호
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• pp.447-457
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• 2010

미술작품이나 건축물에 수학 원리가 내재해 있다. 중등학교 학생들이 미술작품에서 이러한 원리를 찾는 일은 중요하다. 하지만, 미술작품이나 건축물에 내재한 수학 원리를 찾는 것 자체만의 학생 활동은 미술교육 본연의 목적을 달성하기 어렵다는 것이다. 그러므로 미술 교육의 목적을 달성하기 위해서는, 미적 체험과 작품 감상을 통하여 학생들 스스로 미술작품에서 수학 원리를 찾고, 이 원리를 응용한 새로운 작품을 구성하고, 감상하고, 표현하는 활동이 필요하다는 것이다. 이러한 관점에서, 본 논문에서는 수학 원리가 내재한 몇 몇 미술작품이나 건축물을 조사하였다. 그리고 학생 스스로 미술작품에서 수학 원리를 찾고, 이 원리를 이용하여 새로운 작품 구성 활동 능력을 기대할 수 있는 프로그램 모델을 구성하였다. 또한, 수학 원리가 내재한 Escher의 작품을 예로 들어 프로그램에서의 교사활동과 학생활동을 가상적으로 구성하였다.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제5권1호
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• pp.1-11
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• 2001

The purpose of the study is to introduce how tessellation can be used and integrated to connect geometry to pattern in elementary mathematics educations. Tessellation examples include transformations such as translational symmetry, rotational symmetry, reflection symmetry, and glide reflection symmetry. In addition, many examples of tessellation using softwares such as Escher, TesselMania!, and LOGO programs. Further, future study will continue to foster students and teachers to try to construct their alive mathematics knowledge. The study of geometry and patterns require a rich teaching and learning environment provided by in-depth understanding of thinking connections to objects in real world.

• 한국학교수학회논문집
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• 제9권4호
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• pp.539-556
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• 2006

본 연구는 남녀학생의 학습을 공평하게 향상시킬 수 있는 방법을 모색하기 위한 일환으로, GSP를 사용한 테셀레이션 활동이 중학교 남녀학생의 수학적 성취도와 수학적 성향에 어떠한 영향을 미치는가를 알아보기 위한 것이다. 중학교 남녀학생의 4학급을 대상으로 컴퓨터 환경의 기하적 교수학습자료가 2005년 2학기 3개월에 걸쳐 사용되었으며 사전, 사후 검사지로 자료수집이 이루어졌다. 연구결과는 테셀레이션 활동을 하였을 때 기하의 변환 학습의 성취도에서 유의미하게 차이가 났으며 여학생이 남학생보다 우수하였다. 이는 기하 또는 테크놀로지 환경에서 선행연구의 결과와 크게 대조를 이루는 것으로 매우 높은 여학생의 학습 성취 결과는 여학생들이 이런 종류의 학습 환경을 지원받았을 때, 자신들이 활동한 것을 학습요소와 더 잘 연결함을 나타낸다. 수학적 성향에서는 여학생들은 유의미한 수준은 아니었지만 긍정적인 변화를 나타내었고 향상도가 가파르게 상승하는 것으로 보아, 이보다 장기간의 테셀레이션 활동을 하게 된다면 더욱 유의미한 산출물을 가져올 것으로 예측할 수 있었다.

• 대한화장품학회:학술대회논문집
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• 대한화장품학회 1999년도 IFSCC . ASCS 학술대회 발표 논문
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• pp.17-41
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• 1999

Manuka oil sometime named New Zealand's tea tree oil is soluble in oil and come from nature. The $\alpha$-pinene extracted from Manuka oil and R-limonene which is one of the component of extracted Citrex from Grapefruit were used to estimate the antimicrobial activity and to improve the capability of antiseptic. Disk diffusion and broth dilution methods were used to measure the antimicrobial activity Escherichia coli which is gram-negative bacteria and Staphylococcus aureus which is gram-positive bacteria were used as strain. The antimicrobial activity of Manuka oil and $\alpha$-pinene for Escherichia coli, Staphylococcus aureus is similar when the concentration of Manuka oil and $\alpha$-pinene is 10${mu}ell$. However, Antimicrobial activity of Manuka oil for EscherEchta coli, Staphylococcus aureus is better than that of $\alpha$-pinene when the concentration of Manuka oil and $\alpha$-pinene is low. Antimicrobial activity of Citrex is superior to that of R-limonene. The proper ratio of Maunka oil and Citrex can Improve the antimicrobial activity. The proper ratio obtained from studies was 75% of Maunka oil and 25% Citrex for Escherichia coli, 25% of Maunka oil and 75% Citrex for Staphylococcus aureus.