skip to main content
10.5555/1089508.1089538guideproceedingsArticle/Chapter ViewAbstractPublication PagesgiConference Proceedingsconference-collections
Article
Free access

Islamic star patterns from polygons in contact

Published: 07 May 2005 Publication History

Abstract

We present a simple method for rendering Islamic star patterns based on Hankin's "polygons-in-contact" technique. The method builds star patterns from a tiling of the plane and a small number of intuitive parameters. We show how this method can be adapted to construct Islamic designs reminiscent of Huff's parquet deformations. Finally, we introduce a geometric transformation on tilings that expands the range of patterns accessible using our method. This transformation simplifies construction techniques given in previous work, and clarifies previously unexplained relationships between certain classes of star patterns.

References

[1]
S. J. Abas and A. Salman. Geometric and group-theoretic methods for computer graphics studies of Islamic symmetric patterns. Computer Graphics Forum, 11(1):43--53, 1992.
[2]
S. J. Abas and A. Salman. Symmetries of Islamic Geometrical Patterns. World Scientific, 1995.
[3]
Jay Bonner. Islamic Geometric Patterns: Their Historical Development and Traditional Methods of Derivation. Unpublished, 2000.
[4]
Jay Bonner. Three traditions of self-similarity in fourteenth and fifteenth century islamic geometric ornament. In Reza Sarhangi and Nathaniel Friedman, editors, ISAMA/Bridges 2003 Proceedings, pages 1--12, 2003.
[5]
F. H. Bool, J. R. Kist, J. L. Locher, and F. Wierda. M. C. Escher: His Life and Complete Graphic Work. Harry N. Abrams, Inc., 1992.
[6]
J. Bourgoin. Arabic Geometrical Pattern and Design. Dover Publications, 1973.
[7]
Jean-Marc Castéra. Arabesques: Decorative Art in Morocco. ACR Edition, 1999.
[8]
Keith Critchlow. Islamic Patterns: An Analytical and Cosmological Approach. Thames and Hudson, 1976.
[9]
François Dispot. Arabeske home page, 2002. http://www.wozzeck.net/arabeske/index.html.
[10]
Branko Grünbaum and G. C. Shephard. Tilings and Patterns. W. H. Freeman, 1987.
[11]
Branko Grünbaum and G. C. Shephard. Interlace patterns in Islamic and Moorish art. Leonardo, 25:331--339, 1992.
[12]
E. H. Hankin. The Drawing of Geometric Patterns in Saracenic Art, volume 15 of Memoirs of the Archaeological Society of India. Government of India, 1925.
[13]
E. Hanbury Hankin. Examples of methods of drawing geometrical arabesque patterns. The Mathematical Gazette, pages 371--373, May 1925.
[14]
E. Hanbury Hankin. Some difficult Saracenic designs II. The Mathematical Gazette, pages 165--168, July 1934.
[15]
E. Hanbury Hankin. Some difficult Saracenic designs III. The Mathematical Gazette, pages 318--319, December 1936.
[16]
Douglas Hofstadter. Metamagical Themas: Questing for the Essence of Mind and Pattern. Bantam Books, 1986.
[17]
Craig S. Kaplan. Computer generated islamic star patterns. In Reza Sarhangi, editor, Bridges 2000 Proceedings, 2000.
[18]
Craig S. Kaplan and David H. Salesin. Islamic star patterns in absolute geometry. ACM Trans. Graph., 23(2):97--119, 2004.
[19]
A. J. Lee. Islamic star patterns. Muqarnas, 4:182--197, 1987.
[20]
Victor Ostromoukhov. Mathematical tools for computer-generated ornamental patterns. In Electronic Publishing, Artistic Imaging and Digital Typography, number 1375 in Lecture Notes in Computer Science, pages 193--223. Springer-Verlag, 1998.

Cited By

View all
  • (2019)Acquiring periodic tilings of regular polygons from imagesThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-019-01665-y35:6-8(899-907)Online publication date: 1-Jun-2019
  • (2018)Tile-based Pattern Design with Topology ControlProceedings of the ACM on Computer Graphics and Interactive Techniques10.1145/32032041:1(1-15)Online publication date: 25-Jul-2018
  • (2017)Computer-aided generation of mandala thangka patternsProceedings of the 10th International Symposium on Visual Information Communication and Interaction10.1145/3105971.3105974(93-100)Online publication date: 14-Aug-2017
  • Show More Cited By

Recommendations

Comments

Information & Contributors

Information

Published In

cover image Guide Proceedings
GI '05: Proceedings of Graphics Interface 2005
May 2005
256 pages
ISBN:1568812655

Sponsors

  • CHCCS: The Canadian Human-Computer Communications Society

Publisher

Canadian Human-Computer Communications Society

Waterloo, Canada

Publication History

Published: 07 May 2005

Author Tags

  1. Islamic art
  2. Islamic star patterns
  3. patterns
  4. tilings

Qualifiers

  • Article

Acceptance Rates

Overall Acceptance Rate 206 of 508 submissions, 41%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • Downloads (Last 12 months)178
  • Downloads (Last 6 weeks)14
Reflects downloads up to 17 Feb 2025

Other Metrics

Citations

Cited By

View all
  • (2019)Acquiring periodic tilings of regular polygons from imagesThe Visual Computer: International Journal of Computer Graphics10.1007/s00371-019-01665-y35:6-8(899-907)Online publication date: 1-Jun-2019
  • (2018)Tile-based Pattern Design with Topology ControlProceedings of the ACM on Computer Graphics and Interactive Techniques10.1145/32032041:1(1-15)Online publication date: 25-Jul-2018
  • (2017)Computer-aided generation of mandala thangka patternsProceedings of the 10th International Symposium on Visual Information Communication and Interaction10.1145/3105971.3105974(93-100)Online publication date: 14-Aug-2017
  • (2016)Auto-Parameterized Shape Grammar for Constructing Islamic Geometric Motif-Based StructuresSpecial Issue on Cyberworlds and Cybersecurity on Transactions on Computational Science XXVIII - Volume 959010.1007/978-3-662-53090-0_8(146-162)Online publication date: 1-May-2016
  • (2011)Interactive modeling of MuqarnasProceedings of the International Symposium on Computational Aesthetics in Graphics, Visualization, and Imaging10.1145/2030441.2030469(129-136)Online publication date: 5-Aug-2011
  • (2008)Tile-based methods for interactive applicationsACM SIGGRAPH 2008 classes10.1145/1401132.1401254(1-267)Online publication date: 11-Aug-2008
  • (2006)A spectral approach to NPR packingProceedings of the 4th international symposium on Non-photorealistic animation and rendering10.1145/1124728.1124741(71-78)Online publication date: 5-Jun-2006

View Options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Login options

Figures

Tables

Media

Share

Share

Share this Publication link

Share on social media