Abstract
The complex formation of Islamic Geometric Patterns (IGP) is one of the distinctive features in Islamic art and architecture. Many have attempted to reproduce these patterns in digital form, using various pattern generation techniques, in 2D. Shape grammars are an effective pattern generation method, providing good aesthetic results. In this paper we describe a novel approach in generating 3D IGP using the shape grammar method. The particular emphasis here is to generate the motifs (repeated units with the pattern) in 3D using parameterization. These can then be manipulated within the 3D space to construct architectural structures. In this work we have developed two distinctive Shape Grammars in 3D namely Parameterized Shape Grammar (PSG) and Auto-Parameterized Shape Grammar (APSG). Here the PSG generates the motifs and the APSG enables construction of the structures using the generated motifs. Both grammars are practically implemented as a 3D modelling tool within Autodesk Maya. The parameterization within each grammar is the key to generate both Islamic geometric motifs and Islamic geometric motif-based structures.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Abas, S.J., Salman, A.: Geometric and grouptheoretic methods for computer graphic studies of Islamic symmetric patterns. Comput. Graph. Forum 11(1), 43–53 (1992)
Jowers, I., Prats, M., Eissa, H., Lee, J.H.: A study of emergence in the generation of Islamic geometric patterns. In: 15th International Conference on Computer-Aided Architectural Design Research, pp. 39–48. OU, Hong Kong (2010)
Abas, S.J., Salman, A.S., Moustafa, A., Atiya, M.: Symmetries of Islamic Geometrical Patterns. World Scientific, Singapore (1995)
Djibril, M.O., Thami, R.O.H.: Islamic geometrical patterns indexing and classification using discrete symmetry groups. J. Comput. Cult. Herit. 1(2), 1–14 (2008)
Kaplan, C.: Islamic star patterns from polygons in contact. In: Proceedings of Graphics Interface, pp. 177–185. ACM, Ontario (2005)
Riether, G., Baerlecken, D.: Digital girih: a digital interpretation of Islamic architecture. Int. J. Archit. Comput. 10(1), 1–12 (2012)
Cromwell, P.: Islamic geometric designs from the Topkapi Scroll I: unusual arrangements of stars. J. Math. Arts 4(2), 73–85 (2010)
Aljamali, A.M.: Classification and design of islamic geometric patterns using computer graphics. In: 2nd International Conference in Visualisation, Barcelona, pp. 253–258, IEEE (2009)
Kaplan, C., Salesin, D.: Islamic star patterns in absolute geometry. ACM Trans. Graph. 23(2), 97–119 (2004)
Tennant, R.: Medieval Islamic architecture, quasicrystals, and penrose and girih tiles: questions from the classroom. Symmetry: Cult. Sci. 20, 1–8 (2008)
Lu, P., Steinhardt, P.: Decagonal and quasi-crystalline tilings in medieval Islamic architecture. Science 315(5815), 1106–1110 (2007)
Cromwell, P.: A modular design system based on the star and cross pattern. J. Math. Arts 6(1), 29–42 (2012)
Cromwell, P.: The search for quasi-periodicity in Islamic 5-fold ornament. Math. Intell. 31(1), 36–56 (2009)
Stiny, G., Gips, J.: Shape grammars and the generative specification of painting and sculpture. In: IFIP Congress, p. 117 (1971)
Speller, T., Whitney, D., Crawley, E.: Using shape grammar to derive cellular automata rule patterns. Complex Syst. 17, 79–297 (2007)
Cenani, S., Cagdas, G.: A shape grammar study: form generation with geometric Islamic patterns. In: 10th Generative Art International Conference, Italy, pp. 1–7 (2007)
Stiny, G., Mitchell, W.: The grammar of paradise: on the generation of Mughal gardens. Environ. Plan. B 7(2), 209–226 (1980)
Rollo, J.: Triangle and T-square: the windows of Frank Lloyd Wright. Environ. Plan. B 22(1), 7592 (1995)
Cagdas, G.: A shape grammar: the language of traditional Turkish houses. Environ. Planin. B Plan. Des. 23(4), 443–464 (1996)
Stiny, G.: Ice-ray: a note on the generation of Chinese lattice designs. Environ. Plan. B 4(1), 89–98 (1977)
Knight, T.: The generation of Hepplewhite-style chair-back designs. Environ. Plan. B 7(2), 227–238 (1980)
Ebru, U.: A shape grammar model to generate islamic geometric pattern. In: 12th Generative Art International conference, Italy, pp. 290–297 (2009)
Broug, E.: Islamic Geometric Design. Thames and Hudson, London (2013)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Sayed, Z., Ugail, H., Palmer, I., Purdy, J., Reeve, C. (2016). Auto-Parameterized Shape Grammar for Constructing Islamic Geometric Motif-Based Structures. In: Gavrilova, M., Tan, C., Sourin, A. (eds) Transactions on Computational Science XXVIII. Lecture Notes in Computer Science(), vol 9590. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53090-0_8
Download citation
DOI: https://doi.org/10.1007/978-3-662-53090-0_8
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-53089-4
Online ISBN: 978-3-662-53090-0
eBook Packages: Computer ScienceComputer Science (R0)