• Journal for History of Mathematics
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• v.19 no.2
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• pp.59-76
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• 2006

This research focuses on the relationship between mathematics and visual art from a perspective of chaos theory which emerged under the influence of post-modernism. Culture and history, which transform dynamically with the passing of time, are models of complexity. Especially, when the three periods of Medieval, Renaissance, and 17-18 Centuries are observed, the Renaissance period is phase transition phenomenon era between Medieval and 17-18 Centuries. The transition stage between the late Medieval times and the Renaissance; and the stage between the Renaissance and the Modern times are also phase transitions. These phenomena closely resemble similarity in Fractal theory, which includes the whole in a partial structure. Phase transition must be preceded by fluctuation. In addition to the pioneers' prominent act of creation in the fields of mathematics and visual an serving as drive behind change, other socio-cultural factors also served as motivations, influencing the transformation of the society through interdependency. In particular, this research focuses on the fact that scientific minds of artists in the Renaissance stimulated the birth of Perspective Geometry.

• Journal for History of Mathematics
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• v.16 no.4
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• pp.59-68
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• 2003

Mathematics and arts are reflection of the spirit of the ages, since they have human inner parallel vision. Therefore, in ancient Greek ages, the artists' cannon was actually geometric ratio, golden section. However, in middle ages, the Euclidean Geometry was disappeared according to the Monastic Mathematics, then the art was divided two categories, one was holy Christian arts and the other was secular arts. In this research, we take notice of Renaissance Painting and Perspective Geometry, since Perspective Geometry was influenced by Renaissance notorious painter, Massccio, Leonardo and Raphael, etc. They drew and painted works by mathematical principles, at last, reformed the paradigm of arts. If we can say Euclidean Geometry is tactile geometry, the Perspective Geometry can be called by visual geometry.

• Journal for History of Mathematics
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• v.18 no.2
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• pp.31-42
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• 2005

Renaissance is revival of the ancient Greek and Roman cultures. So, in Renaissance period, the artists began to study Euclidean geometry and then their mind was a spirit of experience and observation. These spirits is namely modernism. In other words, Renaissance was a dawn of modern times. In this paper, we notice modern spirits and ones social backgrounds. Differential and integral calculus was created by these modern spirits. And in art field, 'painter of light', 'artist of moment' appeared. Because in the 17th and 18th centuries, the intelligentsia researched for motions, speeds and lights.

• Journal for History of Mathematics
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• v.22 no.2
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• pp.53-68
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• 2009

From ancient Greek times, the infinite concepts had debated, and then they had been influenced by Hebrew's tradition Kabbalab. Next, those infinite thoughts had been developed by Roman Catholic theologists in the medieval ages. After Renaissance movement, the mathematical infinite thoughts had been described by the vanishing point in Renaissance paintings. In the end of 1800s, the infinite thoughts had been concreted by Cantor such as Set Theory. At that time, the set theoretical trend had been appeared by pointillism of Seurat and Signac. After 20 century, mathematician $M\ddot{o}bius$ invented <$M\ddot{o}bius$ band> which dimension was more 3-dimensional space. While mathematicians were pursuing about infinite dimensional space, artists invented new paradigm, surrealism. That was not real world's images. So, it is called by surrealism. In contemporary arts, a lot of artists has made their works by mathematical material such as Mo?bius band, non-Euclidean space, hypercube, and so on.

• Journal of Fashion Business
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• v.14 no.1
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• pp.27-42
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• 2010

It was in the fifteenth century in Italy that men began to talk of a rebirth in the arts and literature. Today we consider the period to belong to the Renaissance. We noticed the splendour of costume and the important role it played, in the life of Italian society in that period. From elsewhere in Europe and also from the East, dyestuffs came to Italy overland or in shiploads. Red and blue, notably kermes and madder on the one hand, and indigo and woad on the other were fundamental textile dyes in Italy. Saffron was used for yellows, oak galls for blacks. Renaissance Italian costumes' main color symbolized various meaning. Red symbolized high rank, affection, lady, redemption and various cardinal virtueses. Yellow was evaded color which was symbolized the lower class, betrayal, and gold. Green symbolized penniless, youthfulness, hope and love. Blue symbolized humbleness, sincerity, knowledge and the Madonna. Purple symbolized nobility, vice and various meanings. Black symbolized death, grief, beauty and elegance. These color symbols in the Renaissance Italian costumes were very similar to that of modern color symbols.

• Journal for History of Mathematics
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• v.12 no.2
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• pp.119-133
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• 1999

In this paper, we consider the abstraction of mathematics and arts. In particular, we compare cave arts of Palaeolith stone ages with those of Neolith stone ages and analyze paintings of a child. After the Middle ages, in Renaissance period the new technique, perspective was introduced by painters for the sake of realistic description. We consider the social background of perspective. In 19th century, European society became familiar with the abstraction of mathematics and arts. And we also study the mathematical concepts and the abstract paintings on the basis of the social backgrounds.

• Journal of Korean Library and Information Science Society
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• v.9
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• pp.115-144
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• 1982

In ordinary modern wester expression 'the Renaissance' was used to denote the impact made by dead Hellenism civilization in western Christendom, particularly Italian literary and artistic movement at Northern and central Italy in the late medieval period. However, A.J. Toynbee examined the renaissance from the different aspect of view. In his great work "A Study of History" in vol. IX, he succeeded in establishing the theory of historic civilization encounters in space and in time; and in time, civilization of the present and the past or between dead and infant successor contacts on the analogy of parenthood and sonship in the relation of A n.0, pparentation-and-Affiliation. The distinguished his view of 'Renaissance' was illustrated in the sense of encounters between a grown-up civilization and the 'ghost' of its long-dead predecessor. The renaissances (by the process of evocation of ghost of its parent society) has not only one single aspect of literary and artistic field but also in politics, law, science and philosophy, languages and literatures and visual arts, and religion. The main theme of this study is to examine the development of libraries and its historical meaning through Toynbee's literary renaissance. His renaissance of Languages and Literatures has three typical steps: They are: 1st step-to restive the dead literature's remains: 2nd step-to remaster their meaning: 3rd step-to reproduce them in counterfeits... Through its first and second steps, collecting and editing, annotating by compiling an anthology, thesaurus, lexicon or encyclopedia, and in its third step publishing mostly imitation of classics took place. Toynbee depicted the five outstanding eminent representatives of literary renaissance who had a n.0, ppeared on the state of history down to the time of writing. They are: Assurbanipal, Constantine prophyrogenitus, Yung Lo, K'ang Hsi, and Ch'ien Lung and the last four had all been emperors of imperia rediviva. As the result of the examination of these five emperors with three steps of literary renaissance, the common result may be summarized as follows: 1. Those emperors of imperia rediviva interested in intellectual work and study, they also were deeply involved in collecting classics in an ostensible reason. 2. There were strong political intention of collecting materials as an a n.0, ppeasement policy of civilization by transferring scholars energies to an intellectual field. 3. Under the rulers of a resuscitated universal state, the literary renaissance were a product of political plane and that the total size of collection and work were huge. 4. Since there were strong exercise of sovereign power, an active censorship by distortion and elimination was inevitable. 5. There existed newly developed strained atmosphere between grown-up and long-dead parent civilization, whenever the book collection movement had occurred. 6. Over adhesion to the parent civilization caused imitation of classic work and the creative activities were stagnated.stagnated.

• Fashion & Textile Research Journal
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• v.16 no.6
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• pp.835-848
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• 2014

This study investigated the relationship between inner characteristics manifested through the characteristics of artistic styles and formativeness manifested through external expressions of architectural styles in the early Medieval Period and early Renaissance Period. The method applied to this study is as follows. First, a historical document research was conducted centering on academic theses, related books, and academic databases; in addition, a case study identified the aesthetic characteristics of women's clothes. The conclusion of this study is as follows. First, the following is the analysis of the relationship between the artistic mode and architectural formativeness in the early Medieval Period and early Renaissance Period that represent a turning point in artistic paradigms. Second, the inner characteristics and eclecticism of the artistic mode literally appear in the formativeness of architectural style in the early Medieval Period, and the eclecticism in the architectural style appears to be expressed through a combination with new styles based on the application of the retro mode such as the eclectic adoption of cultural styles of various regions based on the tradition and technology of ancient Rome. Third, the trend of the aesthetic characteristics commonly appear in the modern style of expression related to the aesthetic characteristics of western women's clothes in the early Medieval Period; in addition, the early Renaissance Period was analyzed as decorativeness and respectively manipulability.

• Korean Institute of Interior Design Journal
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• v.19 no.3
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• pp.180-187
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• 2010

The purpose of this study was to examine the application tendency of the western classical style which appears in contemporary performing arts centers. The types of space in performing arts centers were investigated according to the times. There were somewhat fixed stage and auditorium types for each period ; the ancient times had the arena stage and round auditorium, the Renaissance the proscenium stage and the U-shaped auditorium, the Elizabethan period the thrust stage and polygonal auditorium, and the modern times the proscenium and apron stage, the horseshoe and fan type auditorium. Today since the purposes of performance are multiple, a variety of stage types are applied to each performing arts center. They use various spaces and performances of multiple purposes by moving and transforming the stage and auditorium according to the kinds of performance as a variation of the arena and proscenium stage. Recently there appear complex performing arts centers that can plan performing spaces of diverse sizes and forms to fit the functions of a performance in a large building. Since they put on performances in a large space according to the characteristics of the kind of performance, the intentions and goals of the performance are well delivered to the audience.

• Korean Institute of Interior Design Journal
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• no.33
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• pp.11-18
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• 2002

There is an agreement that sociocultural forces affect on the types of arts. There have been a little attempts to draw analogy between architecture and music. There are many objective and subjective factors for this to be true. If, however, the two arts are out of much the same social conditions, they show a degree of conformity in design and general organization. Our study shows the interrelationship between the Residential Space and structure of music. In order to clarify the interrelationship between architecture and music, the study examines ten Residential Spaces suggested by Yi-Jinkyung. The Residential Spaces are analyzed by using theory of Space Syntax. The structure of music is analyzed by tonality, counterpoint and harmony. The comparison between the Residential Spaces and music follows : From Renaissance to the 19th century, they have the same tendency to 1) openness & closure to the outer space and 2) the netting diagram in the inner space & Counterpoint 3) the tree diagram in the space & Harmony