Musical presentation of patterns through mathematics

- Journal title : Communications of Mathematical Education
- Volume 30, Issue 2, 2016, pp.179-198
- Publisher : Korea Society of Mathematical Education
- DOI : 10.7468/jksmee.2016.30.2.179

Title & Authors

Musical presentation of patterns through mathematics

Shin, Hyunyong; Go, Youngshin; Na, Junyoung; Sheen, Shilla;

Shin, Hyunyong; Go, Youngshin; Na, Junyoung; Sheen, Shilla;

Abstract

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.

Keywords

frieze;pattern;mathematics;musical presentation;

Language

Korean

References

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