• Proceedings of the Korean Institute of Interior Design Conference
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• 2004.11a
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• pp.195-196
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• 2004

Fractal geometry based upon the latest complex theory shows different features of design pattern quite different from the past. It is not yet sure which kind of effects it would bring about in the future, we think that it would help to create various spaces and organic design vision. Therefore we will look into the significances and adaptabilities in space design by studying fractal design principles of today's new model in space design

• Electronics and Telecommunications Trends
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• v.16 no.6 s.72
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• pp.56-64
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• 2001

컴퓨터 그래픽스에서 연구되고 있는 영상 기반 모델링과 렌더링 기술은 사진과 같은 사실적인 3차원 모델을 생성하는 새로운 방법을 제시한다. 본 고는 이러한 기술의 토대를 이루고 있는 사진 기하학을 소개하고 이를 이용한 다양한 연구결과와 상용 제품의 응용 기술 동향을 살펴 앞으로의 발전 방향을 짚어 보고자 한다.

• Proceedings of the Korean Society for History of Mathematics Conference
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• 1997.11a
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• pp.1-1
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• 1997

• Communications of Mathematical Education
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• v.31 no.2
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• pp.103-121
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• 2017

Taxicab geometry was a typical non-Euclid geometry for mathematically gifted. Most educational material related quadratic curves on taxicab geometry for mathematically gifted served them to inquire the graph of the curves defined by focis and constant. In this study, we provide a shape of quadratic curves on taxicab geometry by applying three definitions(geometric algebraic definition, eccentricity definition, conic section definition).

• Journal of the Korean Society for Aeronautical & Space Sciences
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• v.36 no.11
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• pp.1126-1131
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• 2008

This paper applies the Orbital Geometry-based Bias Estimation Algorithm to the magnetometer measurement data of KOMPSAT-1 and 2 and analyzes the induced magnetic field bias caused by the solar panels and electronics boxes in spacecraft bus. This paper reveals that the estimation and correction of the induced magnetic field bias copes with the aging process of magnetometer and makes it possible to carry on the satellite mission by extending its lifetime.

• Communications of Mathematical Education
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• v.19 no.4 s.24
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• pp.621-631
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• 2005

The purpose of this study is to consider how to restructure the university geometry curriculum and contents in terms of applications to theoretical computer science. We analyzed various topics from computer graphics, CAGD(computer aided geometric design) and computational geometry suitable for geometry students interested in applications. Moreover we discussed about selections of topics for several cases.

• Journal of Educational Research in Mathematics
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• v.21 no.2
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• pp.135-148
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• 2011

Middle school mathematics treats axiom as mere fact verified by experiment or observation and doesn't mention it axiom. But axiom is very important to understand the difference between empirical verification and mathematical proof, intuitive geometry and deductive geometry, proof and nonproof. This study analysed textbooks and surveyed gifted students' conception of axiom. The results showed the problem and limitation of middle school mathematics on the treatment of axiom and proof.

• Korean Institute of Interior Design Journal
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• v.14 no.1
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• pp.160-167
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• 2005

The paper raises a question in argument about the method of creating space depending on accidental creation by computer as the method of describing movement pattern, and emphasizes the role of the mathematics which may change the shape into the image or reflection, that is, data which human may understand and expect. If the mathematics could be the method of describing movement pattern, it may play a important role on the analysis of architectural space based on the idea of post-constructionism, which is likely to consider the modern architectural space recognized as the sequential frames containing movement, as the suspended state of the moving object. And then, this infinite series, 'the sum' of the suspended state, is not studied mathematically and scientifically, but is able to be shaped by reviewing the validity in mathematics about the nonlinear space. This is, therefore, the fundamental research in order to define the role of the mathematics in formation of space of contemporary architecture.

• Communications of Mathematical Education
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• v.22 no.4
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• pp.545-556
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• 2008

In this paper we study Gergonne's point and its adjoint points of triangle using the principle of the lever. We prove existence of Gergonne's point and its adjoint points, suggest new proof method of a equality related with Gergonne's point. We find new equalities related with adjoint points of Gergonne's points, and prove these using the principle of the lever.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.585-604
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• 2013

This study is based on the problem that most middle school students cannot recognize the generality of geometrical theorems even after having proved them. By considering this problem from the point of view of empirical verification, the particularity of geometrical representations, and the role of geometrical variables, we suggest that some experiences in dynamic geometry environment (DGE) can help students to recognize the generality of geometrical theorems. That is, this study aims to observe students' cognitive changes related to their recognition of the generality and to provide some educational implications by making students experience some geometrical explorations in DGE. To do so, we selected three middle school students who couldn't recognize the generality of geometrical theorems although they completed their own proofs for the theorems. We provided them exploratory activities in DGE, and observed and analyzed their cognitive changes. Based on this analysis, we discussed the effects of DGE on studensts' recognition of the generality of geometrical theorems.