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
Abbas, S. J. and Salman, A. (1995) Symmetries of Islamic Geometrical Patterns, World Scientific.
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.
Bourgoin, J. (1978) Arabic Geometrical Pattern and Design, Firmin-Didot, Paris, Dover, New York (1973).
Castera, J. M. et al. (1999) Arabesques: Decorative Art in Morocco. ACR Edition.
Chorbachi, W.K. (1989) In the Tower of Babel: Beyond Symmetry in Islamic Designs. Math Applic. Vol. 17, No. 751–789.
Critchlow, K. (1976) Islamic Pattern: An analytical and Cosmological Approach, Schocken books, New York, NY.
Dewdney A. K. (1993) The Tinkertoy Computer and Other Machinations, pages 222–230. W.H. freeman.
El-Said I., and Parman (1976) A. Geometrical Concepts in Islamic Art: World of Islam Festival. Publ. Co. London.
El-Said, I. (1993) Islamic Art and Architecture: The System of Geometric Design. Grant Publishing Limited, U. K.
Glassner, A. (1999) Andrew Glassner’s Notebook: Recreational Computer Graphics. Morgan Kaufmann Publishers, San Francisco, CA.
Grunbaum B., and Shephard G.C. (1992) Interlace Patterns in Islamic and Moorish art. Leonardo, 25: 331–339.
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).
Joyce, D. E. (1997) The 17 plane symmetry groups Department of Mathematics and computer science, Clark University, Worcester, MA 01610.
Lee, X. (1998) The 17 Wallpaper Groups. http://www.xahlee.org/Wallpaper_dir/c5_17WallpaperGroups.html
Mulller, E. (1944) Gruppentheoretische und Struktu-Analaytische Untersuchugen der Maurischen Ornamente aus der Alhambra in Granada. (Ph.D. Thesis, University of Zurich) Baublatt, Ruschlikon.
Paccard, A. (1980) Traditional Islamic Craft in Moroccan Architecture, Editors Ateliers 74,74410 Saint-Jorioz, France, Vol. 1 and 2.
Polya, G. (1924) Uber die analogie der Kristallsymmetrie in der Ebene, Zeitschrift fur kristallographie, 60, 278–282.
Speiser, A. (1927) die Theorie Der Gruppen von endlicher Ordnung, Second Edn. Springer, Berlin, Third Edn, Springer, Berlin ( 1937 ), Fourth Edn, Birkauser, Basel.
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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
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