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PAGE 2008 - Bonner
1. The Polygonal Technique The traditional use of polygonal matrices in the design of Islamic geometric patterns. Jay Bonner Design Consultant Santa Fe, New Mexico USA Email: [email_address] Web Site: www.bonner-design.com
2. Pattern Derivation – Compass-Work: Great Mosque of Damascus (715 C.E.), Pierced Stone Screen
3. Pattern Derivation – Compass-Work: Patterns are created by placing the compass at key points upon a tessellating polygonal grid
14. The Polygonal Technique: Historical Evidence Mamluk stone work: Sultan Hassan Madrasa, Cairo (1363 C.E.)
15. The Polygonal Technique: Historical Evidence Mamluk historical example with scribed “dead-lines” under the painting.
16. The Polygonal Technique: Historical Evidence 15 th Century Mughal Jali Screen, Probably Fatipur Sikri, Agra, India
17. The Polygonal Technique: Historical Evidence One of 24 examples of the Polygonal Technique from the Topkapi Scroll. Fifteenth or sixteenth century: Western Persia.
22. 5-Fold System – the Classic Acute Pattern: Qala-i Bust, Bust, Iran (c. 1000 C.E.)
23. 5-Fold System – the Classic 2-Point Pattern: Inlay Work, Egypt, 16 th Century C.E.
24. The Polygonal Technique A Single Pattern Can Sometimes Be Produced From More Than A One Sub-Grid. The Ring of Pentagons allows for tremendous design versatility.
30. Compound Pattern – 10s and 12s: Topkapi Scroll with Variation at the Three Touching Pentagons
31. Compound Pattern – 10s and 12s: Sub-Grid Note: the Proportion of the Rectangular Repeat Unit is a Direct Result of the Compounded 10-Fold and 12-Fold Symmetry
33. Sub-Grid Construction: 10s and 12s: Note: The Problem of the Non-Aligning Edges is Overcome by the Ring-of-Pentagons
34. Compound Pattern – 11s and 13s: A particularly complex and beautiful compound pattern is found at the Tomb of Mu’minah Khatun, Nakhichevan, Azerbaijan.
35. Compound Pattern – 11s and 13s: Detail from the Tomb of Mu’minah Khatujn, Nakhichevan, Azerbaijan. This compound Islamic geometric pattern exemplifies the highest expression of this art form.
36. Compound Pattern – 11s and 13s: Once Again, Two Different Elongated Hexagons as the Repeat Unit Having Equally 11-Fold and 13-Fold Symmetry!