• International Journal of Contents
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• v.6 no.3
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• pp.71-82
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• 2010

The golden ratio is a mysterious number that surprisingly appears in science, physics, mathematics, as well as in nature. The number 1.618 seems to be a universal constant, and crops up whenever the subject is of beauty or elegance. Beautiful flowers and sea shells and also attractive people have a common number and that is 1.618 or $\varphi$ (phi). This paper does a study into the story of phi, and describes how the golden ratio is derived. Artists, architects and designers have employed the ratio into dimensioning their works of art to achieve visual appeal. Examples such as the Greek Parthenon of the Acropolis and paintings such as the Last Supper all use this magic number. An investigation was conducted among 50 people to test if looking at golden proportioning was actually appealing, or if it was just a type among overzealous enthusiasts. The results show that the golden ratio may actually be of some use.

• Communications of Mathematical Education
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• v.28 no.2
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• pp.281-302
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• 2014

The purpose of this paper is to offer a history of golden ratio, the criterion raised by Markowsky, and misconceptions about golden ratio. Markowsky(1992) insists that the golden ratio does not appear in the great pyramid of Khufu. On the contrary, we claim that there exists the golden ration on it. Elementary and middle school text books, and domestic history books deal with the great pyramid of Khuff and the Parthenon by examples of the golden ratio. Text books make many incorrect statements about golden ratio; so in teaching and learning the golden ratio, we recommend the design-composition of dynamic symmetry, for example, industrial design, aerodynamic, architecture design, and screen design. Finally we discuss the axial age how to affect the school mathematics with respect to the subject of Thales and the golden ratio.

• 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.

• 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.