A 7-Fold System for Creating Islamic Geometric Patterns Part 1: Historical Antecedents
Inhaltsverzeichnis
Reference
Jay Bonner and Marc Pelletier: A 7-Fold System for Creating Islamic Geometric Patterns Part 1: Historical Antecedents. In: Bridges 2012. Pages 141–148
DOI
Abstract
A comprehensive set of 7-fold polygonal sub-grid elements produces very beautiful Islamic geometric patterns characterized by distinctive 14 and 7-pointed stars. The tessellating characteristic of these polygonal elements represents a systematic approach to creating geometric designs with 7-fold symmetry. While a number of historical examples of 7-fold Islamic geometric patterns exist, there is insufficient evidence from the historical record to establish the degree to which designers of the past were aware of this as a system per se. The employment of a limited set of repetitive polygonal elements onto which pattern lines are applied aligns this 7/14 System with other systematic approaches to creating Islamic geometric patterns. In particular, this 7/14 System has direct parallels with the historically ubiquitous 5/10 System. As with other polygonal systems, the 7/14 System offers tremendous design potential for the creation of new geometric patterns. As demonstrated in Part 2 of this paper, the contemporary expression of this design system includes the creation of quasi- crystalline and self-similar designs with recursive symmetry.
Extended Abstract
Bibtex
Used References
J. Bonner: Three Traditions of Self-Similarity in Fourteenth and Fifteenth Century Islamic Geometric Ornament; Bridges Conference Proceedings, 2003.
J. Bonner. Islamic Geometric Pattern: Their Historical Development and Traditional Methods of Derivation (Library of Congress copyright TXu000981014 / 2000-08-21).
B. Grünbaum and G. C. Shephard. Tilings and Patterns; W. H. Freeman, 1987.
J. Bonner. Islamic Geometric Pattern: Their Historical Development and Traditional Design Methodology; Springer, 2013 (forthcoming). Bibliothèque Nationale de France, Paris, MS Persian 169, fol. 192r.
J. Bourgoine. Arabic Geometric Patterns; Dover reprint.
E. H. Hankin. The Drawing of Geometric Patterns in Saracenic Art; Calcutta; 1925; Fig. 35.
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Full Text
http://archive.bridgesmathart.org/2012/bridges2012-141.pdf
