• Journal for History of Mathematics
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• v.15 no.1
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• pp.99-108
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• 2002

Historically, architecture was part of mathematics and architects were mathematicians. In this paper, we attempted to analyze the architecture from the mathematical point of view and conclude that pursuit of beauty and balance lead to the mathematically rigorous shape. For example, the golden ratio in the Great Pyramid and Parthenon prevail in the modem arts and architecture. We also conclude that mathematics is not invention but discovery at least in the area of architecture.

• East Asian mathematical journal
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• v.24 no.5
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• pp.477-496
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• 2008

In this paper, we consider the relations between mathematics and music, for examples rational numbers with musical scales, irrational numbers with musical scales, the golden ratio with musical compositions, the Fourier analysis with overtones. Our aim in this paper is to enhance the students' mathematical abilities by using musical materials.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.2
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• pp.155-159
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• 2009

Using the Binet's formula, we show that the quotient related ratio $l_{1(x)}\;\neq\;0$ for the eventually periodic continued fraction x. Using this ratio, we also show that the derivative of the Minkowski question mark function at the simple periodic continued fraction is infinite or 0. In particular, $l_1({[\bar{1}]})$ = 2 log $\gamma$ where $\gamma$ is the golden mean $(1+\sqrt{5})/2$ and the derivative of the Minkowski question mark function at the simple periodic continued fraction $[\bar{1}]$ is infinite.

• Science of Emotion and Sensibility
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• v.21 no.1
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• pp.91-98
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• 2018

The purpose of this study is to reveal concrete evidence on how aesthetic preference is applied in product design by countries. Since the 19th century, the proportion has been examined various times, and the conclusions consistently showed the strong preference for the golden ratio (1:1.618). However, previous studies are mainly focused on western products that were designed by western designers, so when the same experiment conducted for the first time in Asia with the question of 'Is the Asian subjects also likes the golden ratio?', the result clearly revealed that Korean subjects have a significant preference for the root ratio (1:1.414) and perfect square (1:1). It demonstrates that proportion preference might be different by countries, and it also influences on everyday products. Moreover, there is not enough evidence of Asian product proportions. For this reason, this study will strive to expand the knowledge on Asian aesthetic preference by focusing on Japanese automobiles that were designed and produced in Japan. 55 iconic Japanese automobiles were analyzed for proportion and compared with 50 iconic German automobiles. The result shows that Japanese automobiles have a shorter length of 7:10 (1:1.414) ratio than German automobiles with 13:23 (1:1.769) ratio. This result proves that there is the difference in preference for the proportion of Japan and Germany, and it has already influenced on automobile proportions. This result has a strong value that finding the most appropriate proportion of automotive design is a major issue in new product development, so this can be adapted to various fields of the design process where strong cultural value exists.

• Journal of the Korean Crystal Growth and Crystal Technology
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• v.22 no.4
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• pp.170-177
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• 2012

Amethyst gems represents thermal effects of far-infrared emission, promotes the body's metabolism, and attracts attention as an eco-friendly interior material. In this paper, amethyst increase the value of jeweling by applying the characteristic purple motif, furthermore, I will intend to develop of design model. Metal crafting of brooch & necklace in the works performed based on the organic three-dimensional shape of the Rhino CAD Data. It was made possible through the precise laminated wax processing and then combining the amethyst. I researched the ornament modeling by applying the 'Golden Ratio', and suggesting utilizing method for interior jewel modeling, and also, is expected that this paper on the amethyst modeling design can contribute to the manufacturers' productivity.

• Journal of the Korean Society of Clothing and Textiles
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• v.27 no.11
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• pp.1198-1207
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• 2003

The purpose of this study was to develop customized necktie design according to Korean adult male's body characteristics. For this purpose, experimentations of visual sensory evaluation on visual stimuli which show a man's wearing various neckties were carried out. The subjects were students(n=130) majoring in fashion and design related area and experts(n=6). The data were analyzed by ANOVA, duncan test, pearson's correlation coefficient, cross tabulation using spss pc/sup +/ program. Also statistic of Korea adult men's body measurements(1997) were analyzed and used to decide appropriate necktie length according to the customer's various height. The results were as follows: First, there were significant difference in visual sensibility on the stimuli showing 1) relative location of belt and necktie, 2) neckties with various length using golden ratio to the experimental model's height. Therefore, the need of producing neckties with different length according to customer's various height were verified. Second, neckties with three different length(140cm, 145cm, 151cm) were suggested for the groups of 160cm-height, 170cm-height, 180cm-height according to Korean adult male's body characteristics and aspect of production.

• Journal of the Korean Institute of Landscape Architecture
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• v.29 no.3
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• pp.1-9
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• 2001

The purpose of this article is to study the design and construction of Anap pond with a comparative study of ancient palace ponds in Korea, China and Japan. Anap pond was excavated in 1975-6 and is the oldest orignal pond to be found among Koran garden sites. Anap pond was made just before Shilla drove out Tang, after Shilla ruined Paekjae and Koguryo with the Tang army. This was a time Shilla enjoyed a multi-cultural situation due to interaction with Paekjae and Koguryo refugees, as well as information provided by the ambassadors sent to Tang who were well aquainted with Tang culture. Anap pond shows the influence of not only the indigenous mountain-god myth, but also the theoretical background common among Korea, China and Japan. But it also depicts the special form of space inbued with the exquisite aesthetic taste of Shilla people, which started with Anap pond hardened in Gaen temple, and which bloomed in Sukgulam. Scenery structure analysis gives a supposition of the center building on the western coatland, and sequential analysis gives the feeling of being at sea, analysised by root square shape analysis, equal ratio square shape and golden section, sow we can see the planned space organization by speculated planning. Thus, Anap pond is a garden of Shilla in which the cultural exchange has been inculturated and made our own, and the special aesthetic taste embodied.

• International Journal of Industrial Entomology and Biomaterials
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• v.48 no.1
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• pp.19-24
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• 2024

For over five millennia, humans have benefited from the valuable byproducts of Bombyx mori silkworms nourished on mulberry leaves and a multitude of potential applications remains available due to the diverse array of silkworm varieties. In this work, we discuss the utilization of Daehwangjam (DHJ), golden silk (GS), and Juhwangjam (JHJ), distinctive colored silks found in Korea, as chemosensors. These novel silks emit fluorescence under external stimuli and show a diminishing fluorescence intensity when exposed to HCl vapor. The considerable surface-to-volume ratio of these cocoons allows for the identification of 5 ppm, 300 ppm, and 3000 ppm HCl vapors through decreased fluorescence intensity. The results show the suitability of natural DHJ, GS, and JHJ for applications in biosensing applications.

• Journal of Korea Multimedia Society
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• v.23 no.12
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• pp.1586-1593
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• 2020

This study was conducted on the face ratio of mammals. It can also be applied to character automation by checking factors about the difference between animal and human face shapes. This paper used the face and face area data generated for Deep Learning learning. In detail, the proportion factors of the area comprising the faces of 20 species of animals and humans were defined and the average ratio was calculated. Next, the proportion of each animal was analyzed using the Principal Component Analysis (PCA). Through this, we would like to propose the golden ratio of mammals.

• Atmosphere
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• v.21 no.3
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• pp.229-241
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• 2011

The continuous urbanizations by a rapid economic growth and a steady increase in population are expected to have a possible impact on meteorology in the downwind region. Long-term (1972~2007) trends of precipitation have been examined in the mid-Korean peninsula for the westerly condition only, along with the sensitivity simulations for a golden day (11 February 2009). During the long-term period, both precipitation amount (PA) and frequency (PF) in the downwind region (Chuncheon, Wonju, Hongcheon) of urban area significantly increased for the westerly and light precipitation ($PA{\leq}1mm\;d^{-1}$) cases, whereas PA and PF in the mountainous region (Daegwallyeong) decreased. The enhancement ratio of PA and PF for the downwind region vs. urban region remarkably increased, which implies a possible urbanization effect on downwind precipitation. In addition, the WRF simulation applied for one golden day demonstrates enhanced updraft and its associated convergence in the downwind area (about 60 km), leading to an increase in the cloud mixing ratio. The sensitivity experiments with the change in surface roughness demonstrates a slight increase in cloud water mixing ratio but a negligible effect on precipitation in the upwind region, whereas those with the change in heat source represents the distinctive convergence and its associated updraft in the downwind region but a decrease in liquid water, which may be attributable to the evaporation of cloud droplet by atmospheric heating induced by an increase in an anthropogenic heat. In spite of limitations in the observation-based analysis and one-day simulation, the current result could provide an evidence of the effect of urbanization on the light precipitation in the downwind region.