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- 주제어 : golden diagonal (검색결과 2 건)
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김효율 동국대학교 WISE(와이즈)캠퍼스 신라문화연구소 2010 新羅文化 Vol.36 No.-
The Sakyamuni Pagoda(or "Seokgatap" in Korean) is a three story stone pagoda of the Bulguksa temple built in the 8th century. This study tried to find golden ratios in the original part of the pagoda by checking an eastern side drawing with the photoshop 7.0. At first, the pagoda was found to be divided in six vertical parts, of which their upper and lower parts are cut in golden ratio. One of them is cut in 1:φ and others are in φ:1. Secondly, the lower parts of the six were found to be rectangles in the ratio of φ2:1 which we may get along with φ:1 rectangles by golden cut of squares. The front of the upper basement is a φ2:1 rectangle divided into four of φ-3:1 and three of φ-1:1 rectangles. Thirdly, there are three kinds of diagonals on a roof of each story. And their slopes were found to be the same as the diagonals of φ:1 and φ2:1 rectangles or their reciprocals. As the above three kinds of golden ratios(golden sections, golden rectangles and golden diagonals) are found in every part of the drawing and their errors are very small, we can safely conclude that the pagoda was designed and constructed on the principle of golden ratio. The golden ratios of the pagoda originated from squares. The basic outlines of the six vertical parts are squares and they are golden cut in φ:1 and φ2:1 rectangles. And the upper parts have been transshaped mainly with the diagonals which came from the two rectangles while the lower parts remained in the φ2:1 rectangles. Golden ratio is a term for quantitative comparison. However, 'yin and yang' is a term of the East Asian philosophy for non-quantitative comparison. If we take the φ:1 rectangles as yang(+) and the φ2:1 rectangles as yin(-), the golden cuts of the six divisions match the yin and yang principle from the view points of "top and bottom", "prominence and depression", “change and constancy" and "light and darkness". Consequently the pagoda might be noted as a case for "golden ratios of the yin and yang".
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김효율 동국대학교 WISE(와이즈)캠퍼스 신라문화연구소 2015 新羅文化 Vol.46 No.-
The Sakyamuni Pagoda(or "Seokgatap" in Korean) of the Bulguksa temple is a geometrical art piece. Three kinds of golden ratios(golden sections, golden rectangles and golden diagonals) were also found there before. Minimum bounding rectangles(after, "MBR") might be needed in some pre-fixed ratios to make a drawing for the building. This study is to contribute for finding the macro structure of the pagoda from the view point of golden ratios of MBRs. The application of golden ratios in MBRs could be tested by some characters found at the pagoda before. They are the height-width ratios in “φn” as basic form, and two derived forms aφn and (√5)n. The study found that the pagoda is consisted of the three kinds of MBRs in the ratios, namely, the Body-wheel MBR(φ2), the Upper-cover MBR((√5)-4) and the Base MBR(φ0/2) by testing their characters. It also found that the height of the Body-wheel MBR and the Base MBR are golden sectioned by testing their characters. A set of golden diagonals which make a ratio structure for the three MBRs are found. And now we can use two kinds of ratio models for the height and width of the pagoda. The first is the “Three Kinds Golden Ratio MBRs Model” which has three height variables and two width variables. The second is the “Three Kinds Golden Ratio MBRs_Extended Model” which has nine height variables and two width variables. The two models were tested with the real values measured on the eastern side 3D drawing of the pagoda by Photoshop cs2. As only some limited errors were found there, and we can safely conclude that the pagoda was designed and constructed on the principle of golden ratio, not only from the view point of micro structure, but also from the view point of macro structure.
KCI
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