Abstract
This article contributes to a novel computerized and heuristic algorithm to make pretty geometrics used in traditional building patterns and tiling. Starting with some basic sketch or an ornamental pattern, it depicts how a designer may analyze the sketch structure and approaches to an analytical representation. In return, this analytical representation could be used to produce complicated pictures and schemes. The presented algorithm is capable of producing various complicated symmetric patterns as well as ancient Islamic geometric patterns that are called Star and Bracelet. Utilizing and expanding such patterns, the algorithm would be able to generate wide variety of divergent sketches for both monochrome and coloured patterns. The algorithm has been successfully performed and tested on the implemented software-GeoPat. Finally, the method has been applied on different types of sample patterns and the interesting results have nicely been depicted.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Kaplan, C.S.: Computer generated Islamic Star Patterns. In: Sarhangi, R. (ed.) Bridges 2000 Proceedings (2000)
Ahmad, M., Aljamali, Banissi, E.: Grid Method Classification of Islamic Geometric Patterns. In: Proceeding of WSCG 2003, February 3-7. UNION Agency – Science Pres, Plzen (2003)
Bonner, J.: Geodazzlers-Eighteen Ornamental Polyhedra for Easy Construction. Design Science Toys Publishing, ASIN: B0010OMLLQ (1997)
Kaplan, C.S., Salesin, D.H.: Islamic Star Patterns in Absolute Geometry. ACM Transactions on Graphics (TOG) archive 23(2), 97–119 (2004)
Lee, A.J.: Islamic Star Patterns. In: Grabar, O. (ed.) Muqarnas IV: An Annual on Islamic Art and Architecture, E.J. Brill, Leiden (1987)
Ostromoukhov, V.: Mathematical Tools for Computer-generated Ornamental Patterns. In: Hersch, R.D., André, J., Brown, H. (eds.) RIDT 1998 and EPub 1998. LNCS, vol. 1375, pp. 193–223. Springer, Heidelberg (1998)
Bonner, J.: Three traditions of self-similarity in fourteenth and fifteenth century Islamic geometric ornament. In: Proceedings ISAMA/Bridges, Granada, pp. 1–12 (2003)
Bonner, J.: Islamic Geometric Patterns: Their Historical Development and Traditional Methods of Derivation. Unpublished (2000)
Hankin, E.H.: The Drawing of Geometric Patterns in Saracenic Art. Memoirs of the Archaeological Society of India 15, LCCN: 96909213 (1925)
Salman, A.S., Abas, S.J.: Symmetries of Islamic Geometrical Patterns. World Scientific Pub. Co., Singapore (1995) ISBN: 9810217048
Dewdney, A.K.: The Tinkertoy Computer and Other Machinations, pp. 222–230. W. H. Freeman Publishing, New York (1993) ISBN: 071672491X
Abas, S.J., Salman, A.S.: Geometric and group-theoretic methods for computer graphics studies of Islamic symmetric patterns. Computer Graphics Forum 11(1), 43–53 (1992)
Grünbaum, B., Shephard, G.C.: Interlace patterns in Islamic and Moorish art. In: The visual mind: art and mathematics, pp. 147–155. MIT Press, Cambridge (1993)
Dispot, F.: Arabeske Studio, a Java Tool (2002), http://www.wozzeck.net/arabeske/index.html
Valiente, J.M., Albert, F., Gomis, J.M.: A Computational Model for Pattern and Tile Designs Classification Using Plane Symmetry Groups. In: Sanfeliu, A., Cortés, M.L. (eds.) CIARP 2005. LNCS, vol. 3773, pp. 849–860. Springer, Heidelberg (2005)
Lalvani, H.: Coding and generating complex periodic patterns. Journal: The Visual computer 5(4), 180–202 (1989) ISSN: 0178-2789
Hofstadter, D.: Metamagical Themas: Questing for the Essence of Mind and Pattern. Basic Books (1986) ISBN: 0-465-04566-9
Lu, P.J., Steinhardt, P.J.: Decagonal and Quasi-Crystalline Tilings in Medieval Islamic Architecture. Journal of Science 315(5815), 1106–1110 (2007)
Rasouli, P., Bastanfard, A., Rezvanian, A., Jalilian, O.: Fast Algorithms for Computer Generated Islamic Patterns of 8-ZOHREH and 8-SILI. In: Huang, Y.-M.R., Xu, C., Cheng, K.-S., Yang, J.-F.K., Swamy, M.N.S., Li, S., Ding, J.-W. (eds.) PCM 2008. LNCS, vol. 5353, pp. 825–829. Springer, Heidelberg (2008)
Cromwell, P.R.: The Search for Quasi-Periodicity in Islamic 5-fold Ornament. The Mathematical Intelligencer 31(1) (January 2009) ISSN: 0343-6993
Grunbaum, B., Shephard, G.C.: Tilings and Patterns. W.H. Freeman, New York (1987)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Izadi, A., Rezaei (Ghahroudi), M., Bastanfard, A. (2010). A Computerized Method to Generate Complex Symmetric and Geometric Tiling Patterns. In: Plemenos, D., Miaoulis, G. (eds) Intelligent Computer Graphics 2010. Studies in Computational Intelligence, vol 321. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15690-8_10
Download citation
DOI: https://doi.org/10.1007/978-3-642-15690-8_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15689-2
Online ISBN: 978-3-642-15690-8
eBook Packages: EngineeringEngineering (R0)