• Journal for History of Mathematics
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• v.36 no.1
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• pp.1-17
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• 2023

Paper folding is a versatile tool that can be used not only as a mathematical model for analyzing the geometric properties of plane and spatial figures but also as a visual method for finding the real roots of polynomial equations. The historical evolution of origami's geometric and algebraic techniques has led to the discovery of definitions and properties that can enhance one's cognitive understanding of mathematical concepts and generate mathematical interest and motivation on an emotional level. This paper aims to examine the history of origami geometry, the utilization of origami for solving polynomial equations, and the process of determining the real roots of quadratic, cubic, and quartic equations through origami techniques.

• Journal of Advanced Marine Engineering and Technology
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• v.40 no.7
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• pp.642-646
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• 2016

A wearable antenna made using conductive tape on paper is presented in this paper. The proposed antenna is composed of a half-wavelength conducting dipole strip and a parasitic conducting strip on the A4 copy paper. The antenna is fed at the center of the dipole strip by an SMA connector. The configuration of the proposed antenna changes according to the origami method. Therefore the radiation patterns of the antenna vary according to whether or not the paper is folded. This approach solves the problem that the reception ratio of the signal decreases because of null points in the antenna radiation pattern. The reflection coefficient and the radiation pattern of the proposed antenna at 900 MHz are evaluated using an EM simulation and measurements. It was shown that the proposed paper antenna has reconfigurable characteristics at 900 MHz when utilizing the origami method.

• Journal of Sensor Science and Technology
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• v.26 no.1
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• pp.35-38
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• 2017

A thermally responsive hydrogel has reversibility with temperature during swelling. Here, we proposed origami inspired temperature sensor by using multi-layered hydrogel film. The formation of patterned stripes on microscale film drives bending to an angle that can be controlled linearly. Although temperature range was not wide, measured sensitivity of sensors has high resolution and accuracy. It providing a powerful platform for the design of sensitive sensors and that easily adapt other type of sensors in microscale.

• Korean Journal of Child Studies
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• v.20 no.3
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• pp.325-337
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• 1999

In this intervention study, an experimental group of kindergarten children participated in paper folding activities 2 times per week for 10 weeks while the control group did ordinary art activities. Subjects were 43 five-year-old children enrolled in N and D public kindergartens in Hwa-soon Chonnam province. Data were analyzed with a two-sample t-test. The ability to draw and to manipulate geometric figures increased significantly in the experimental group but there was no difference between the two groups in the discrimination of geometric figures.

• Communications of Mathematical Education
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• v.13 no.2
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• pp.457-475
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• 2002

수학사를 통해 볼 때 눈금 없는 자와 컴퍼스를 이용한 작도 가능성의 문제는 여러 면에서 의미가 있었다. 종이 접기는 수학과는 무관하게 나름대로 많은 흥미를 끌어 왔다. 그러나 종이 접기가 기하학적 작도와 흥미 있는 관련이 있음이 알려지면서 수학적으로도 연구되었고 더 나아가 수학 학습에의 유의미한 활용 가능성이 제안되었다. 본 글에서는 종이 접기에서 괄목할 만한 수학적 성질을 고전적인 작도 가능성의 문제와 다항식의 거듭 제곱근에 의한 가해성 등과 관련하여 고찰한다. 또, 초 ${\cdot}$ 중등 학교에서 활용 가능한 가상의 수업 프로토콜도 제시한다.

• The Journal of Korean Institute of Electromagnetic Engineering and Science
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• v.27 no.1
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• pp.8-13
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• 2016

A pattern-switchable origami antenna is designed with paper using inkjet-printing technology. The proposed antenna can be switched between loop and dipole antenna modes by folding and unfolding the paper, respectively. The proposed antenna is designed for the resonant frequencies of both modes to be 1.85 GHz. Eutectic gallium-indium liquid metal is introduced in order to avoid cracks in the conductive ink when the paper is folded. The performance of the proposed antenna is demonstrated through simulation and measurement results and antenna gain of dipole-mode and loop-mode are -4 dBi and -5 dBi, respectively. Also, the nulls of both dipole and loop modes compensate nulls from each mode.

• Journal of the Korea Fashion and Costume Design Association
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• v.20 no.4
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• pp.1-16
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• 2018

This study focuses on the correlation between Kotgal and paper-folding. This paper first examines the meaning and history of Korean ancient Kotgal and then investigates relationship between Kotgal and Korean paper-folding culture which has been inherited in various ways. Throughout the study, literature research and analysis have been conducted along with empirical studies. The results of the study are as follows. First, it has been told that Kotgal was used a as a trident hat symbolizing the sky, land, and man, whereas Korean paper-folding is known as closely related to the folk beliefs which had existed since ancient times. From ancient times, the Korean ancestors expressed the Three Gods representing beauties of the nature, 'sky(Chun), land(Ji) and man(In)' on the conical hat and prayed for their wish to the heaven. Second, Kotgal has been evolved in various ways from ancient times through Goryeo and Joseon Dynasty to present. The form of Kotgal has begun with folding and this is closely related to the origin of Korean paper-folding, which is the Korean traditional craft. Third, the paper-folding tradition of Korea has been variously applied in the Korean culture such as rituals, life crafts and plays and expresses the unconventional philosophical concepts unique of Korea. In conclusion, this study evidently shows that the Korean philosophical ideas behind Kotgal which originated from ancient paper-folding are scientific and systematic.

• Journal of the Korea Fashion and Costume Design Association
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• v.24 no.2
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• pp.27-44
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• 2022

The purpose of this study is to attempt to diversify artistic expression through combinations of the twelve zodiac animals and origami techniques and to propose new directions for fashion design by applying these to fashion accessory bag designs. For the research method, this study researched the representative forms and characteristics of twelve zodiac animals based on the cultural background. Also, diverse cases of origami techniques were sought to apply them to the development of bags. The results are as follows. First, expressed forms of the Chinese zodiac were newly expanded by realizing the form of Chinese zodiac animals through various origami techniques. Origami work displays abstract visual effects rather than intuitive feelings or expressions of flat designs. With this, detailed realizations could be made through the characteristics and cultural implications of animals. Second, the work created in this study utilized zero-waste patterns that use origami techniques on one whole piece. During pattern production, folded parts were marked without waste and the outer fabric and lining were produced. Patterns were all symmetrical lines so most forms were expressed with squares and equilateral triangles. Third, through actual work produced using fabric instead of paper, effects that are brought about through folding are determined in diverse ways according to fabric textures or material types and thicknesses. When paper is folded, shapes are created as folded, but fabric requires the use of supportive material to create the effects of origami. Polyester and blended fabric were easy to use with high levels of function and practicality. Through such diverse production attempts, fixing methods, hand sewing, sewing machines, double-sided tape, and leather adhesive were used.

• Communications of Mathematical Education
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• v.21 no.3
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• pp.515-525
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• 2007

In this study, we study on equations of bisector and trisectors of angle. We analyze various studies related with bisector and trisectors of angle. As a result we have known that trisectors of angle is able to received by paper folding method. Using some concepts of vector we have described equations of bisector and trisectors of angle.

• Journal of Korea Technical Association of The Pulp and Paper Industry
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• v.47 no.4
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• pp.168-176
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• 2015

The history of paper folding had continued before that the paper manufacturing technique was spread in the 3rd century and it was used for witchcrafts and rituals. Fold means as was used with the word Cheop and Jeopji. In the Three Kingdoms period, the conical hat with fabric spread as customs, then it was made of the paper that led the popularization of paper folding form the early Joseon Dynasty. Paper crafts and living things with paper are mostly derived from fabrics except the paper written for saint's name related God. In the period of the tribe nation, witchcrafts and rituals brought to Japan via the Korean Peninsula, as a result Kami which means God in Japanese that becomes the paper. The first folding fan was made to develop from the fan, Baekseopsun in the end of Goryeo Dynasty. It was an outstanding application of paper folding crafts. Since the early Joseon Dynasty, paper flower folding has considered as the virtue of savings and has developed one of the Korean traditional paper arts. Paper folding has also developed in the practical uses like the other Korean paper arts but paper folding that was developed as seasonal customs, playing or religious purpose showed a different trend from Korean paper arts.