Reconstruction of Five-Fold Patterns with the Concept of Key Length
top of page
Asian Institute of Research, Journal Publication, Journal Academics, Education Journal, Asian Institute
Asian Institute of Research, Journal Publication, Journal Academics, Education Journal, Asian Institute

Education Quarterly Reviews

ISSN 2621-5799

asia institute of research, journal of education, education journal, education quarterly reviews, education publication, education call for papers
asia institute of research, journal of education, education journal, education quarterly reviews, education publication, education call for papers
asia institute of research, journal of education, education journal, education quarterly reviews, education publication, education call for papers
asia institute of research, journal of education, education journal, education quarterly reviews, education publication, education call for papers
crossref
doi
open access

Published: 29 September 2022

Reconstruction of Five-Fold Patterns with the Concept of Key Length

Hatice Busra Sahin, Menekse Seden Tapan Broutin

Bursa Uludag University, Turkey

asia institute of research, journal of education, education journal, education quarterly reviews, education publication, education call for papers
pdf download

Download Full-Text Pdf

doi

10.31014/aior.1993.05.03.565

Pages: 534-549

Keywords: Art-Culture-Maths, Geometrical Drawing, Girih Mode, Islamic Geometric Pattern, Key Length

Abstract

Art, architecture, music and literature, which are thought to be far from mathematics, contain complex mathematics. The fact that Anatolian lands hosted many civilizations throughout history provided cultural richness including the relationship between mathematics and art and created Anatolian culture. Geometric patterns are frequently encountered in artistic and architectural works in Anatolian culture. Geometric patterns existing in Anatolian culture vary according to their fold. In this research, five-fold patterns have been explained mathematically by introducing the ‘Key Length’ concept. We developed a system that reconstructs an existing Islamic Geometric Pattern in the context of the girih mode that we presented verbally and visually in eleven steps. In addition, we introduced to the literature the concept of ‘Key Length’ which is used in the drawing process.

References

  1. Abas, S. J., & Salman, A. S. (2007). Symmetries of Islamic Geometrical Patterns, World Scientific Publishing, London.

  2. Aljanabi, M. (2019). Islamic Geometric Pattern lecture notes with the traditional method. İstanbul.

  3. Bonner, J. (2017). Islamic Geometric Patterns: Their historical development and traditional methods of construction, Springer, New York.

  4. Cromwell, P. R. (2009). The search for quasi-periodicity in Islamic 5-fold ornament, Math. Intelligencer 31, pp. 36–56.

  5. Demiriz, Y. (2017). Islam sanatında geometrik süsleme, Hayalperest Yayinevi, Istanbul.

  6. Lu, P. (2007). Decagonal and quasi-crystalline tilings in Medieval Islamic Architecture,

  7. American Association for the Advancement of Science 315, pp. 1106-1110.

  8. Majewski, M. (2017). Sketches on geometry and art: Gereh-geometry in Islamic Art. Aksjomat Torun, Poland.

  9. Majewski, M. (2019a). Pratical geometric pattern design- Decogonal pattern in Islamic art. Istanbul Design Publishing, Istanbul.

  10. Majewski, M. (2019b). Pratical geometric pattern design-Geometric patterns in Islamic arts. Hatice Busra Sahin & Ayse Yılmaz (Çev. Edit.). Aksjomat Torun, Poland.

  11. Necipoglu, G. (1995). The Topkapı Scroll: Geometry and ornament in Islamic architecture [Topkapı Palace LibraryMS H.1956]. Getty Center for the History of Art and the Humanities, Santa Monica, CA.

  12. Sen, H. (2013). Islam Sanatinda Geometrik Desenler, Türk- Islam Medeniyeti Akademik Araştirmalar Dergisi 8(15), 101-112.

bottom of page