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PAGE 2008 - Bonner PAGE 2008 - Bonner Presentation Transcript

  • 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
  • Pattern Derivation – Compass-Work: Great Mosque of Damascus (715 C.E.), Pierced Stone Screen
  • Pattern Derivation – Compass-Work: Patterns are created by placing the compass at key points upon a tessellating polygonal grid
  • Pattern Derivation – Compass-Work: Quran of Ibn al-Bawwab (1000-1001 C.E.)
  • Pattern Derivation – Graph Paper Technique:
  • Pattern Derivation - Parallel Radii Technique
  • Pattern Derivation - Parallel Radii Technique
  • Pattern Derivation – Parallel Radii Technique: Sultan Han, Aksaray, Turkey (1229 C.E.)
  • Pattern Derivation – Additive Technique
  • Pattern Derivation – Point Joining
  • Pattern Derivation – Point Joining
  • Pattern Derivation – Comparative Methods
  • Pattern Derivation – Polygonal Technique The Four Pattern Families
  • The Polygonal Technique: Historical Evidence Mamluk stone work: Sultan Hassan Madrasa, Cairo (1363 C.E.)
  • The Polygonal Technique: Historical Evidence Mamluk historical example with scribed “dead-lines” under the painting.
  • The Polygonal Technique: Historical Evidence 15 th Century Mughal Jali Screen, Probably Fatipur Sikri, Agra, India
  • The Polygonal Technique: Historical Evidence One of 24 examples of the Polygonal Technique from the Topkapi Scroll. Fifteenth or sixteenth century: Western Persia.
  • Polygonal Technique The Classic 5-Fold Acute Pattern
  • Polygonal Technique The Classic 5-Fold Middle Pattern
  • Polygonal Technique The Classic 5-Fold Obtuse Pattern
  • Polygonal Technique The Classic 5-Fold 2-Point Pattern
  • 5-Fold System – the Classic Acute Pattern: Qala-i Bust, Bust, Iran (c. 1000 C.E.)
  • 5-Fold System – the Classic 2-Point Pattern: Inlay Work, Egypt, 16 th Century C.E.
  • 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.
  • The Polygonal Technique Variations to the Pattern Lines within the Ring of Pentagons
  • 3-Fold Sub-Grid 12 Non-Regular Pentagons around a Regular Dodecagon
  • 3-Fold Pattern with 12-Pointed Stars Pattern Derivation
  • 3-Fold Pattern: 12-Pointed Stars Sub-Grid Construction Note: Three Pentagons Together are Common in 3-Fold Sub-Grids
  • Compound Pattern – 10s and 12s:
  • Compound Pattern – 10s and 12s: Topkapi Scroll with Variation at the Three Touching Pentagons
  • 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
  • Compound Pattern – 10s and 12s: Pattern Derivation
  • Sub-Grid Construction: 10s and 12s: Note: The Problem of the Non-Aligning Edges is Overcome by the Ring-of-Pentagons
  • Compound Pattern – 11s and 13s: A particularly complex and beautiful compound pattern is found at the Tomb of Mu’minah Khatun, Nakhichevan, Azerbaijan.
  • 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.
  • Compound Pattern – 11s and 13s: Once Again, Two Different Elongated Hexagons as the Repeat Unit Having Equally 11-Fold and 13-Fold Symmetry!
  • Compound Pattern – 11s and 13s: Pattern Derivation
  • Sub-Grid Construction: 11s and 13s: Polygonal Sub-Grid Construction using the Radii Matrix technique – Part One
  • Sub-Grid Construction: 11s and 13s: Polygonal Sub-Grid Construction using the Radii Matrix technique – Part Two
  • Sub-Grid Construction: 11s and 13s: Polygonal Sub-Grid Construction using the Radii Matrix technique – Part Three
  • Sub-Grid Construction: 11s and 13s: Polygonal Sub-Grid Construction using the Radii Matrix technique – Part Four
  • Completed Sub-Grid: 11s and 13s
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Pattern Construction: 11s and 13s:
  • Compound Pattern – 11s and 13s: Redrawn image of this exceptional Azerbaijani pattern
  • Allahu Akbar Thank You Jay Bonner Design Consultant Santa Fe, New Mexico USA Email: [email_address] Web Site: www.bonner-design.com