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Musical presentation of patterns through mathematics
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 Title & Authors
Musical presentation of patterns through mathematics
Shin, Hyunyong; Go, Youngshin; Na, Junyoung; Sheen, Shilla;
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Mathematics(group theory, in particular) makes it partially possible to present and create music and patterns. This means that patterns can be presented by music through mathematics. In this work, we first produce musical piece for each type of frieze patterns. Based on the musical pieces, we compose a music presenting the combined pattern of all frieze types. We finally produce a video for hearing design through music. Through a QR-code, anyone can access the product of this work. The results of this research might be examples for integration of mathematics and arts and for utilizing smart circumstances.
frieze;pattern;mathematics;musical presentation;
 Cited by
신현용.유익승.문태선.신기철.신실라 (2015). 수학 IN 디자인, 서울: 교우사. (Shin, H.Y., Lyu, I.S., Moon, T.S., Shin, G.C. & Sheen, S.L. (2015). Mathematics in Design, Seoul: Kyowoosa.)

신현용.나준영.신실라 (2014). 띠 7 벽지 17, 한국수학교육학회 <뉴스레터>, 30(6), 14-22. (Shin, H.Y., Na, J.Y. & Sheen, S.L. (2014). Frieze 7 Wallpaper 17, Newsletter of Korea Society of Mathematics Education, 30(6), 14-22.)

신현용.신실라 (2014). 문양에 관한 수학적 접근: 군론에 의한 한국 전통 띠 문양의 분류, 한국디자인학회지<디자인학연구>, 27(3), 295-311. (Shin, H.Y. & Sheen, S.L. (2014). A mathematical approach to patterns: The classification of Korean traditional frieze patterns according to group theory, Journal of Korea Society of Design Science: Archives of Design Research, 27(3), 295-311.)

신현용.신실라.문태선.권혜윤.이윤우 (2014). 벽지문양을 소재로 한 수학학습자료 개발 연구, 한국수학교육학회지 시리즈 A <수학교육>, 53(3), 435-447. (Shin, H.Y., Sheen, S.L., Mun, T.S., Kwon, H.Y. & Lee, Y.W. (2014). A study on development of mathematical learning material based on wallpapers, J. Korea Soc. Math. Ed. Ser. A: Mathematical Education, 53(3), 435-447.)

Hart, V. (2009). Symmetry and Transformations in the Musical Plane,

Shin, H.Y., Sheen, S.L., Kwon, H.Y. & Mun, T.S. (2016). Korean Traditional Patterns: Frieze and Wallpaper, Submitted.