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Mathematics and Society in Koryo and Chosun (고려.조선시대의 수학과 사회)

  • Joung Ji-Ho
    • The Mathematical Education
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    • v.24 no.2
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    • pp.48-73
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    • 1986
  • Though the tradition of Korean mathematics since the ancient time up to the 'Enlightenment Period' in the late 19th century had been under the influence of the Chinese mathematics, it strove to develop its own independent of Chinese. However, the fact that it couldn't succeed to form the independent Korean mathematics in spite of many chances under the reign of Kings Sejong, Youngjo, and Joungjo was mainly due to the use of Chinese characters by Koreans. Han-gul (Korean characters) invented by King Sejong had not been used widely as it was called and despised Un-mun and Koreans still used Chinese characters as the only 'true letters' (Jin-suh). The correlation between characters and culture was such that, if Koreans used Han-gul as their official letters, we may have different picture of Korean mathematics. It is quite interesting to note that the mathematics in the 'Enlightenment Period' changed rather smoothly into the Western mathematics at the time when Han-gul was used officially with Chinese characters. In Koryo, the mathematics existed only as a part of the Confucian refinement, not as the object of sincere study. The mathematics in Koryo inherited that of the Unified Shilla without any remarkable development of its own, and the mathematicians were the Inner Officials isolated from the outside world who maintained their positions as specialists amid the turbulence of political changes. They formed a kind of Guild, their posts becoming patrimony. The mathematics in Koryo significant in that they paved the way for that of Chosun through a few books of mathematics such as 'Sanhak-Kyemong', 'Yanghwi-Sanpup' and 'Sangmyung-Sanpup'. King Sejong was quite phenomenal in his policy of promotion of mathematics. King himself was deeply interested in the study, createing an atmosphere in which all the high ranking officials and scholars highly valued mathematics. The sudden development of mathematic culture was mainly due to the personality and capacity of king who took anyone with the mathematic talent into government service regardless of his birth and against the strong opposition of the conservative officials. However, King's view of mathematics never resulted in the true development of mathematics perse and he used it only as an official technique in the tradition way. Korean mathematics in King Sejong's reign was based upon both the natural philosophy in China and the unique geo-political reality of Korean peninsula. The reason why the mathematic culture failed to develop continually against those social background was that the mathematicians were not allowed to play the vital role in that culture, they being only the instrument for the personality or politics of the king. While the learned scholar class sometimes played the important role for the development of the mathematic culture, they often as not became an adamant barrier to it. As the society in Chosun needed the function of mathematics acutely, the mathematicians formed the settled class called Jung-in (Middle-Man). Jung-in was a unique class in Chosun and we can't find its equivalent in China or Japan. These Jung-in mathematician officials lacked tendency to publish their study, since their society was strictly exclusive and their knowledge was very limited. Though they were relatively low class, these mathematicians played very important role in Chosun society. In 'Sil-Hak (the Practical Learning) period' which began in the late 16th century, especially in the reigns of Kings Youngjo and Jungjo, which was called the Renaissance of Chosun, the ambitious policy for the development of science and technology called for. the rapid increase of he number of such technocrats as mathematics, astronomy and medicine. Amid these social changes, the Jung-in mathematicians inevitably became quite ambitious and proud. They tried to explore deeply into mathematics perse beyond the narrow limit of knowledge required for their office. Thus, in this period the mathematics developed rapidly, undergoing very important changes. The characteristic features of the mathematics in this period were: Jung-in mathematicians' active study an publication, the mathematic studies by the renowned scholars of Sil-Hak, joint works by these two classes, their approach to the Western mathematics and their effort to develop Korean mathematics. Toward the 'Enlightenment Period' in the late 19th century, the Western mathematics experienced great difficulty to take its roots in the Peninsula which had been under the strong influence of Confucian ideology and traditional Korean mathematic system. However, with King Kojong's ordinance in 1895, the traditional Korean mathematics influenced by Chinese disappeared from the history of Korean mathematics, as the school system was hanged into the Western style and the Western mathematics was adopted as the only mathematics to be taught at the Schools of various levels. Thus the 'Enlightenment Period' is the period in which Korean mathematics shifted from Chinese into European.

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A study on the beauty of space by overall arrangement and composition of a picture in Oriental painting (동양회화의 경영위치(經營位置)에 의한 여백(餘白)의 미(美) 연구(硏究))

  • Lee, Seung-Sook
    • Journal of Science of Art and Design
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    • v.11
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    • pp.201-220
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    • 2007
  • From two viewpoints the writer investigated the beauty of space by overall arrangement and composition of a picture in Oriental painting. In particular, she examined the expanded representation and significance of space use which had not properly been recognized in the field of a colored picture contrary to a painting in India ink. She studied that the boundary for the representation and appreciation of space was unlimited to one field of painting by studying and analyzing it in connection with other fields of art which had something in common with it in techniques or languages of representation. The writer considered the aspects of similar forms and spirits as the methods of understanding and representing the essence of an object in creating a work. She generally considered the aspect of perfecting knowledge by studying the principle of an actual thing for the representation of revealed forms corresponding to the aspect of similar forms, and tried to reach the stage of 'materialization' united with the spirit of the subject of creation for the formless forms corresponding to the aspect of representing an artist's inner world as well as the external shapes of things. She tried to reach the stage of spiritual cultivation in pursuit of the boundary between 'mental vanity' and 'sitting quietly and attaining the state of perfect selflessness', which were presented by Chuang-tzu, to express the spirituality internal to it. She recognized that the projection of the cultivation on a work could convey internal essence as well as external forms to a picture. It was because the image of the form represented in a picture was based on the aesthetic experience got from realty. In the concept of space and a method of representing it, she explored and analyzed the basic concept of space, arranged the concept of space shown in Oriental ideas dividing it into the concepts of space in Confucianism, Taoism and the Zen sect. What she felt acutely through this study was that she should establish the identity of her work by succeeding to, changing and re-creating tradition based on the historical heritage left by successive excellent painters and theorists. Putting together all these things showed that establishing the identity in the world of work pursued and oriented by her required searching the direction in future works by mixing tradition with modern times in a creative way, which is just the purpose of study in this thesis.

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MATHEMATICS AND SOCIETY IN KORYO AND CHOSUN (고려.조선시대의 수학과 사회)

  • 정지호
    • Journal for History of Mathematics
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    • v.2 no.1
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    • pp.91-105
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    • 1985
  • Though the tradition of Korean mathematics since the ancient time up to the "Enlightenment Period" in the late 19th century had been under the influence of the Chinese mathematics, it strove to develop its own independent of Chinese. However, the fact that it couldn't succeed to form the independent Korean mathematics in spite of many chances under the reign of Kings Sejong, Youngjo, and Joungjo was mainly due to the use of Chinese characters by Koreans. Han-gul (Korean characters) invented by King Sejong had not been used widely as it was called and despised Un-mun and Koreans still used Chinese characters as the only "true letters" (Jin-suh). The correlation between characters and culture was such that , if Koreans used Han-gul as their official letters, we may have different picture of Korean mathematics. It is quite interesting to note that the mathematics in the "Enlightenment Period" changed rather smoothly into the Western mathematics at the time when Han-gul was used officially with Chinese characters. In Koryo, the mathematics existed only as a part of the Confucian refinement, not as the object of sincere study. The mathematics in Koryo inherited that of the Unified Shilla without any remarkable development of its own, and the mathematicians were the Inner Officials isolated from the outside world who maintained their positions as specialists amid the turbulence of political changes. They formed a kind of Guild, their posts becoming patrimony. The mathematics in Koryo is significant in that they paved the way for that of Chosun through a few books of mathematics such as "Sanhak-Kyemong, "Yanghwi - Sanpup" and "Sangmyung-Sanpup." King Sejong was quite phenomenal in his policy of promotion of mathematics. King himself was deeply interested in the study, createing an atmosphere in which all the high ranking officials and scholars highly valued mathematics. The sudden development of mathematic culture was mainly due to the personality and capacity of King who took any one with the mathematic talent onto government service regardless of his birth and against the strong opposition of the conservative officials. However, King's view of mathematics never resulted in the true development of mathematics per se and he used it only as an official technique in the tradition way. Korean mathematics in King Sejong's reign was based upon both the natural philosophy in China and the unique geo-political reality of Korean peninsula. The reason why the mathematic culture failed to develop continually against those social background was that the mathematicians were not allowed to play the vital role in that culture, they being only the instrument for the personality or politics of the King. While the learned scholar class sometimes played the important role for the development of the mathematic culture, they often as not became an adamant barrier to it. As the society in Chosun needed the function of mathematics acutely, the mathematicians formed the settled class called Jung-in (Middle-Man). Jung-in was a unique class in Chosun and we can't find its equivalent in China of Japan. These Jung-in mathematician officials lacked tendency to publish their study, since their society was strictly exclusive and their knowledge was very limited. Though they were relatively low class, these mathematicians played very important role in Chosun society. In "Sil-Hak (the Practical Learning) period" which began in the late 16th century, especially in the reigns of King Youngjo and Jungjo, which was called the Renaissance of Chosun, the ambitious policy for the development of science and technology called for the rapid increase of the number of such technocrats as mathematicians inevitably became quite ambitious and proud. They tried to explore deeply into mathematics per se beyond the narrow limit of knowledge required for their office. Thus, in this period the mathematics developed rapidly, undergoing very important changes. The characteristic features of the mathematics in this period were: Jung-in mathematicians' active study an publication, the mathematic studies by the renowned scholars of Sil-Hak, joint works by these two classes, their approach to the Western mathematics and their effort to develop Korean mathematics. Toward the "Enlightenment Period" in the late 19th century, the Western mathematics experienced great difficulty to take its roots in the Peninsula which had been under the strong influence of Confucian ideology and traditional Korean mathematic system. However, with King Kojong's ordinance in 1895, the traditonal Korean mathematics influenced by Chinese disappeared from the history of Korean mathematics, as the school system was changed into the Western style and the Western matehmatics was adopted as the only mathematics to be taught at the schools of various levels. Thus the "Enlightenment Period" is the period in which Korean mathematics sifted from Chinese into European.od" is the period in which Korean mathematics sifted from Chinese into European.pean.

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Study of Scatter Influence of kV-Conebeam CT Based Calculation for Pelvic Radiotherapy (골반 방사선 치료에서 산란이 kV-Conebeam CT 영상 기반의 선량계산에 미치는 영향에 대한 연구)

  • Yoon, KyoungJun;Kwak, Jungwon;Cho, Byungchul;Kim, YoungSeok;Lee, SangWook;Ahn, SeungDo;Nam, SangHee
    • Progress in Medical Physics
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    • v.25 no.1
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    • pp.37-45
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    • 2014
  • The accuracy and uniformity of CT numbers are the main causes of radiation dose calculation error. Especially, for the dose calculation based on kV-Cone Beam Computed Tomography (CBCT) image, the scatter affecting the CT number is known to be quite different by the object sizes, densities, exposure conditions, and so on. In this study, the scatter impact on the CBCT based dose calculation was evaluated to provide the optimal condition minimizing the error. The CBCT images was acquired under three scatter conditions ("Under-scatter", "Over-scatter", and "Full-scatter") by adjusting amount of scatter materials around a electron density phantom (CIRS062, Tissue Simulation Technology, Norfolk, VA, USA). The CT number uniformities of CBCT images for water-equivalent materials of the phantom were assessed, and the location dependency, either "inner" or "outer" parts of the phantom, was also evaluated. The electron density correction curves were derived from CBCT images of the electron density phantom in each scatter condition. The electron density correction curves were applied to calculate the CBCT based doses, which were compared with the dose based on Fan Beam Computed Tomography (FBCT). Also, 5 prostate IMRT cases were enrolled to assess the accuracy of dose based on CBCT images using gamma index analysis and relative dose differences. As the CT number histogram of phantom CBCT images for water equivalent materials was fitted with a gaussian function, the FHWM (146 HU) for "Full-scatter" condition was the smallest among the FHWM for the three conditions (685 HU for "under scatter" and 264 HU for "over scatter"). Also, the variance of CT numbers was the smallest for the same ingredients located in the center and periphery of the phantom in the "Full-scatter" condition. The dose distributions calculated with FBCT and CBCT images compared in a gamma index evaluation of 1%/3 mm criteria and in the dose difference. With the electron density correction acquired in the same scatter condition, the CBCT based dose calculations tended to be the most accurate. In 5 prostate cases in which the mean equivalent diameter was 27.2 cm, the averaged gamma pass rate was 98% and the dose difference confirmed to be less than 2% (average 0.2%, ranged from -1.3% to 1.6%) with the electron density correction of the "Full-scatter" condition. The accuracy of CBCT based dose calculation could be confirmed that closely related to the CT number uniformity and to the similarity of the scatter conditions for the electron density correction curve and CBCT image. In pelvic cases, the most accurate dose calculation was achievable in the application of the electron density curves of the "Full-scatter" condition.

Analysis of User′s Satisfaction to the Small Urban Spaces by Environmental Design Pattern Language (환경디자인 패턴언어를 통해 본 도심소공간의 이용만족도 분석에 관한 연구)

  • 김광래;노재현;장동주
    • Journal of the Korean Institute of Landscape Architecture
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    • v.16 no.3
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    • pp.21-37
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    • 1989
  • Environmental design pattern of the nine Small Urban Spaces at C.B.D. in City of Seoul are surveyed and analyzed for user's satisfaction and behavior under the environmental design evaluation by using Christopher Alexander's Pattern Language. Small Urban Spaces as a part of streetscape are formed by physical factors as well as visual environment and interacting user's behavior. Therefore, user's satisfaction and behavior at the nine Urban Small Spaces were investigated under the further search for some possibilities of application of those Pattern Languages. A pattern language has a structure of a network. It is used in sequence, going through the patterns, moving always from large patterns to smaller, always from the ones which create comes simply from the observation that most of the wonderful places of the city were not blade by architects but by the people. It defines the limited number of arrangements of spaces that make sense in any given culture. And it actually gives us the power to generate these coherent arrangement of space. As a results, 'Plaza', 'Seats'and 'Aecessibility' related design Patterns are highly evaluated by Pattern Frequency, Pattern Interaction and their Composition ranks, thus reconfirm Whyte's Praise of urban Small Spaces in our inner city design environments. According to the multiple regression analysis of user's evaluation, the environmental functions related to the satisfaction were 'Plaza', 'Accessibility' and 'Paving'. According to the free response, user's prefer such visually pleasing environmental design object as 'Waterscape' and 'Setting'. In addition to, the basic needs in Urban Small Spaces are amenity facilities as bench, drinking water and shade for rest.

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An Investigation on the human nature in philosophy of Wang Yang-Ming and Buddhism from a Kantian point of view (칸트의 관점에서 본 왕양명과 불교의 인간관)

  • Park, Jong-sik
    • Journal of Korean Philosophical Society
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    • v.131
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    • pp.165-197
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    • 2014
  • In this paper, I investigate on the human nature in philosophy of Wang Yang-Ming and Buddhism from a Kantian point of view. The core argument of the philosophy of Wang Yang-Ming, Buddhism and Kant is that all human beings have the pure abilities a priori to overcome themselves, to realize their own potentialities. This is called immanent transcendence. At this time human beings can be free. Kant, Wang Yang-Ming and Buddhism claim that all human beings themselves will overcome their desires from their mind and body through the immanent transcendence, reflection and contemplation on their own. When we give up the external knowledges, throw away obsessions with the selfish desires and go back to our inside, we can see our original nature. To have an insight into this inner nature, to respect the moral law a priori, this is to overcome the ourselves, and to be a Grate Man(聖人) and a Buddha. This way is the only way to be a Grate Man and a Buddha. The main proposition of Wang Yang-Ming's philosophy is expressed 'There are no things without mind.'(心外無物) The core of Kant's transcendental philosophy is called the Copernican Revolution by himself. Copernican Revolution means the transition from the object-centered epistemology to the subject-centered epistemology. 'Innate Knowing'(良知) and 'Perform Innate Knowing'(致良知), 'All human beings have the mind of Buddha'(一切衆生悉有佛性) contain the apriority, immanence of Moral Law. In this respect, the theory of Innate Knowing in Wang Yang-Ming and mind of Buddha in Buddhism, pure Moral Law in Kant has the same structure grounded in subjectivity. Even if we have the mind of Buddha, innate Knowing, moral law a priori, the reason why we don't know our original nature is that we fall into the obsessions with selfish desires, and that we have inclination to external interests. So the moment you see our original nature, ordinary people themselves turn into a Buddha. These changes and transitions are immanent transcendence. All human beings have the ability to do this changes and transitions. Buddha does not exist outside of us, but it exists with our reflections on our human nature. Buddha can not existed without our insight into the our innate Ego. Where there is our original nature, there is a Buddha. So Buddha is called the another name of the original figure of human beings.

Jungian Interpretation of Creation Myths Focused on Egg Symbolism (분석심리학적 관점으로 고찰한 창조신화 : '알(卵)'의 상징성 중심으로)

  • Jin-Sook Kim
    • Sim-seong Yeon-gu
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    • v.27 no.1_2
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    • pp.28-70
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    • 2012
  • In Jungian psychology, creation myths regard as the story of unconscious and preconscious processes(projection of archaic identity) which describe not necessary the origin of our cosmos, but the origin of man's conscious awareness of the world. Therefore projections have nothing to do with matter itself but experience of one's own unconscious. Jung emphasizes importance to understand projection in individual's conscious experience rather than in philosophical doctrine. The purpose of this thesis is to explore unconscious process of creation myths with egg symbolism in clinical cases to present universal feature of Cosmic/alchemical egg. Psychologically, creation myths retold when human mind needs new order. Depending on the attitude of ego, it can be sudden expansion of consciousness or contamination of ego by unconscious. In this study, 'chaos(messa confusa)' in creation myths as archaic identity, experience of uroboros or infant, and nigredo state in alchemy. 'Separation of primordial parents' as beginning of consciousness refers to separatio operation in alchemical process. 'Light' as attainment of consciousness. Discussion of psychological meaning of egg starts with amplification which include the concept of cosmic/alchemical/philosophical egg. Egg symbolism in this study refers to emergence of egg, tapas/brooding of egg, and separation of egg. Emergence of egg as a state of preconscious totality, psychic wholeness conceived as the thing which came before the rise of ego consciousness. Discussion of conceptssuch as Shiva bindu, hiranyagharba, germ of gold, Tathāgatagarbha follows. 'Tapas/brooding of egg' as concentration of all psychic energy into one point for self reflection. Discussion includes The I Ching Hexagram 61, image of brooding egg identified with inner truth, Wonhyo's concept of jikwansasang, and Gnostic idea of Ennoia, introverted act of thinking, as well as the concept of 'Night Sea Journey'. 'Separation or hatching of egg' regarded as the idea of sudden illumination, Phanes, the shining God, and "sun-point," in alchemy. Birth of fledgling as birth of new personality. As a conclusion, psychological meaning of cosmic egg/creation myths is the story of separating from 'Not-I'(unconscious, object, undifferentiated) to 'I'(ego, subject, differentiated) which shares the same meaning as individuation process.

A Basic Study on Spatial Recognition through Poet in Soswaewon Garden (시문을 통해 본 소쇄원의 공간인식에 관한 기초연구)

  • Lee, Won-Ho;Kim, Dong-Hyun
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.33 no.3
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    • pp.38-49
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    • 2015
  • This study aims to contemplated spatial recognition in Soswaewon Garden through garden visitors poetry. It was content analysis in poetry and extract frequency from words based on relationship of author. The results were as follows. First, relationship of authors who wrote Soswaewon Garden poetry was formed in companionship. In the Yang, San-Bo(梁山甫), poetry was written by Song, Soon(宋純), Kim, Un-Geo(金彦据) and Kim, In-Hu(金麟厚) as the central figure. Especially Kim, In-Hu was playing an important role in Soswaewon Garden poetry. He was wrote many of poetry and keep friends with Yang, Ja-Jeong(梁子渟) too. In the Yang, Ja-Jung, relationship of previous generation was sustained. In addition, Ko, Gyeong-Myeong(高敬命) and Kim, Seong-Won and Jeong, Chul(鄭澈) is more closely related than others. Because blood relationship by marriage. In the Yang, Jin-Tae(梁晋泰), He formed a relationship with a celebrity and attend to international activity. Since then Yang, Jin-Tae periord, Yang, Gyeong-Ji(梁敬之) and Yang, Chae-Ji(梁采之) formed relationship of previous generation was sustained. And surrounding people was written poetry as hold a banquet. Second, plant and ornament is a popular object for writing poetry. Bamboo grove and Fine tree with a high frequency of plant element in poetry. Bamboo grove is a typical species of trees in Soswaewon Garden. It was enclosed the Soswaewon Garden. Fine tree was often used target of poetry as a single tree. Meanwhile, ornament of the wall has been used most frequently. Descendants wrote a poem to see it because Kim, In-Hu's poetry was left. This phenomenon is involves respect for the ancient sages with high frequency. In addition, behavior of viewing the landscape was mainly appeared. Third, spatial recognition of Soswaewon Garden can be divided into landscape cognition, behavior cognition and emotional cognition. In a aspect of landscape cognition, early Soswaewon Garden was recognized as a pavilion. That was used garden name to 'Soswaewon Garden' since Yang, Ja-Jung's period. That is to say, Soswaewon Garden expanded from pavilion area surrounded by trees into the whole appearance is equipped garden area. Behavior cognition was consisting drink and enjoys a landscape. In the Yang, San-Bo, authors enjoyed drinking and viewing a landscape besides walking, writing poetry, viewing the moon. But after Yang, San-Bo's period other than drinking and enjoy a landscape has appeared a low frequency. These results were changed from internal place to blood relationship into external place to companionship. In the Yang, San-Bo's emotional cognition was sorrow and yearning about leave to Soswaewon Garden with an idly atmosphere. Pleasant emotion was sustained all generation. And emotion of respect for the ancient sages was appeared since Yang, Cheon-un.

A study on the production techniques and prototype of the mother-of-pearl chrysanthemum pattern box from the Goryeo Dynasty (고려 나전국화넝쿨무늬상자의 제작기법 고찰 및 원형 연구)

  • LEE Heeseung;LEE Minhye;KIM Sunghun;LEE Hyeonju
    • Korean Journal of Heritage: History & Science
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    • v.57 no.1
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    • pp.126-144
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    • 2024
  • The chrysanthemum vine pattern box from the Goryeo Dynasty expresses in great detail the representative features of Goryeo Dynasty lacquerware with mother-of-pearl, such as engraving patterns on the surface of fine mother-of-pearl, expressing vine stems using metal wires, and twisting metal wires to form the boundaries of each patterns. While the lacquerware with mother-of-pearl that remains today from the Goryeo Dynasty has the form of a sutra box and a box with lid, the chrysanthemum vine pattern box that is the subject of this study is in the shape of a box with a separate lid and body, making it difficult to estimate the purpose of production or the stored contents. In this study, we attempted to confirm the formative characteristics of the chrysanthemum vine pattern box in order to confirm its original form, and to investigate its structure and production technique through X-ray transmission. In addition, we attempted to identify the use and production purpose of the box by classifying and comparing the previously known lacquerware with mother-ofpearl from the Goryeo Dynasty by type. As a result of the investigation, fabric was confirmed the bottom of body and inner box through X-ray images. Through this, it was confirmed that the 'Mogsimjeopichilgi'(wooden core grabbing fabric technique) of wrapping the object with fabric was used. And through wood grain, it was possible to confirm the wooden board composition of the part presumed to be the restored part and the part presumed to have had existing Jangseog. In addition, it was confirmed that the joints were connected in a Majdaeim(part to part). Based on the survey results, a total of 14 pieces, including 9 Sutra boxes, 3 boxes, and 2 small boxes, that remain from the Goryeo Dynasty were classified by type and examined for similarity. Among them, there is a "Chrysanthemum Vine Pattern Sutra Box" from a private collection in Japan, a "Black Lacquered Chrysanthemum Arabesque Bun Sutra Box" from the Tokugawa Art Museum, a "Sutra Holder" from the British Museum, and a "Small Box with a Mother-of-Pearl Chrysanthemum Vine Pattern" from a private collection in Korea. The pattern composition of five points was most similar to the subject of this study. As a result of comparing the damage pattern, formative characteristics, and structural features of each part, it is presumed that the sutra holder in the British Museum was transformed into its current form from the original the chrysanthemum vine patterned box. Lastly, in order to confirm the purpose of production, that is, the use of this box, we investigated examples of Tripitaka Koreana printed version produced at a time similar to the social atmosphere of Goryeo at the time. Following the Mongol(元) invasion after the Goryeo military regime at the time, sutras appeared to pray for the stability of the nation and the soul of an individual, and with the development of domestic printing and paper in the 13th century, it gradually coincided with the transition from a scroll to a folded form, and the form of a box changed from a box. It is believed that the storage method also changed.