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Grid Method Classification of Islamic Geometric Patterns

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Abstract

This chapter proposes a rational classification of Islamic Geometric Patterns (IGP) based on the Minimum Number of Grids (MNG) and Lowest Geometric Shape (LGS) used in the construction of the symmetric elements. The existing classification of repeating patterns by their symmetric groups is in many cases not appropriate or prudent [13]. The symmetry group theories do not relate to the way of thinking of the artisans involved, and completely has ignored the attributes of the unit pattern and has focused exclusively on arrangement formats. The chapter considers the current symmetric group theories only as arrangement patterns and not as classifications of IGP since they have a “global approach” and have failed to explore the possibilities in the construction elements of IGP. We describe and demonstrate procedures for constructing Star/Rosette unit patterns based on our proposed classification in a grid formation dictated by the final design of the unit pattern.

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References

  1. Abbas, S. J. and Salman, A. (1995) Symmetries of Islamic Geometrical Patterns, World Scientific.

    Google Scholar 

  2. Abbas, S. J. and Salman, A. (1992) Geometric and Group Theoretic Methods for Computer Graphic Studies of Islamic Symmetric Patterns. School of Mathematics, University College of North Wales, Bangor, Gwynedd, LL57 1UT, UK. Computer Graphics Forum, Volume 11, number 43–53.

    Google Scholar 

  3. Bourgoin, J. (1978) Arabic Geometrical Pattern and Design, Firmin-Didot, Paris, Dover, New York (1973).

    Google Scholar 

  4. Castera, J. M. et al. (1999) Arabesques: Decorative Art in Morocco. ACR Edition.

    Google Scholar 

  5. Chorbachi, W.K. (1989) In the Tower of Babel: Beyond Symmetry in Islamic Designs. Math Applic. Vol. 17, No. 751–789.

    Google Scholar 

  6. Critchlow, K. (1976) Islamic Pattern: An analytical and Cosmological Approach, Schocken books, New York, NY.

    Google Scholar 

  7. Dewdney A. K. (1993) The Tinkertoy Computer and Other Machinations, pages 222–230. W.H. freeman.

    Google Scholar 

  8. El-Said I., and Parman (1976) A. Geometrical Concepts in Islamic Art: World of Islam Festival. Publ. Co. London.

    Google Scholar 

  9. El-Said, I. (1993) Islamic Art and Architecture: The System of Geometric Design. Grant Publishing Limited, U. K.

    Google Scholar 

  10. Glassner, A. (1999) Andrew Glassner’s Notebook: Recreational Computer Graphics. Morgan Kaufmann Publishers, San Francisco, CA.

    Google Scholar 

  11. Grunbaum B., and Shephard G.C. (1992) Interlace Patterns in Islamic and Moorish art. Leonardo, 25: 331–339.

    Article  Google Scholar 

  12. Hankin, E. H. (1934) Some Difficult Saracenic Designs Pattern Containing Fifteen Rayed Stars. The Mathematical Gazette, Vol. 18, 165–168, and Vol. 20, 318–319 (1936).

    Google Scholar 

  13. Joyce, D. E. (1997) The 17 plane symmetry groups Department of Mathematics and computer science, Clark University, Worcester, MA 01610.

    Google Scholar 

  14. Lee, X. (1998) The 17 Wallpaper Groups. http://www.xahlee.org/Wallpaper_dir/c5_17WallpaperGroups.html

    Google Scholar 

  15. Mulller, E. (1944) Gruppentheoretische und Struktu-Analaytische Untersuchugen der Maurischen Ornamente aus der Alhambra in Granada. (Ph.D. Thesis, University of Zurich) Baublatt, Ruschlikon.

    Google Scholar 

  16. Paccard, A. (1980) Traditional Islamic Craft in Moroccan Architecture, Editors Ateliers 74,74410 Saint-Jorioz, France, Vol. 1 and 2.

    Google Scholar 

  17. Polya, G. (1924) Uber die analogie der Kristallsymmetrie in der Ebene, Zeitschrift fur kristallographie, 60, 278–282.

    Google Scholar 

  18. Speiser, A. (1927) die Theorie Der Gruppen von endlicher Ordnung, Second Edn. Springer, Berlin, Third Edn, Springer, Berlin ( 1937 ), Fourth Edn, Birkauser, Basel.

    Book  Google Scholar 

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© 2004 Springer Science+Business Media Dordrecht

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Aljamali, A.M., Banissi, E. (2004). Grid Method Classification of Islamic Geometric Patterns. In: Sarfraz, M. (eds) Geometric Modeling: Techniques, Applications, Systems and Tools. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1689-5_13

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  • DOI: https://doi.org/10.1007/978-94-017-1689-5_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6518-6

  • Online ISBN: 978-94-017-1689-5

  • eBook Packages: Springer Book Archive

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