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Further Tiling Patterns Involving Islamic Stars with an Odd Number of Vertices

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International Journal of Computer Applications
© 2013 by IJCA Journal
Volume 67 - Number 1
Year of Publication: 2013
Authors:
T. Gangopadhyay
10.5120/11358-6579

T Gangopadhyay. Article: Further Tiling Patterns Involving Islamic Stars with an Odd Number of Vertices. International Journal of Computer Applications 67(1):12-16, April 2013. Full text available. BibTeX

@article{key:article,
	author = {T. Gangopadhyay},
	title = {Article: Further Tiling Patterns Involving Islamic Stars with an Odd Number of Vertices},
	journal = {International Journal of Computer Applications},
	year = {2013},
	volume = {67},
	number = {1},
	pages = {12-16},
	month = {April},
	note = {Full text available}
}

Abstract

Islamic star patterns have been extensively studied for their symmetry and aesthetic appeal. This paper presents a new construction method for generating these stars on computers and for constructing new tiling patterns that involve stars with an odd number of vertices.

References

  • Syed Jan Abas and Amer Shaker Salman. Symmetries of Islamic Geometrical Patterns. World Scienti?c, 1995.
  • J. Bourgoin. Arabic Geometrical Pattern and Design. Dover Publications, 1973. .
  • Jean-Marc Castera. Zellijs, muqarnas and quasicrystals. In Nathaniel Friedman and Javiar Barrallo, editors,ISAMA 99 Proceedings, pages 99–104, 1999. l.
  • Jean-Marc Castera et al. Arabesques: Decorative Art in Morocco. ACR Edition, 1999.
  • A. K. Dewdney. The Tinkertoy Computer and Other Machinations, pages 222–230. W. H. Freeman, 1993.
  • Douglas Dunham. Artistic patterns in hyperbolic geometry. In Reza Sarhangi, editor, Bridges 1999 Proceedings, pages 139–149, 1999.
  • Branko Gr¨unbaum and G. C. Shephard. Tilings and Patterns. W. H. Freeman, 1987.
  • Branko Gr¨unbaum and G. C. Shephard. Interlace patterns in islamic and moorish art. Leonardo, 25:331–339,1992.
  • T. Gangopadhyay, On Tiling Patterns Involving Islamic Stars with an Odd Number of Vertices, to be published in International journal of computer applications, March, 2013.
  • E. H. Hankin. Memoirs of the Archaeological Society of India, volume 15. Government of India, 1925.
  • Craig S. Kaplan. Computer Generated Islamic Star Patterns. In Bridges 2000: Mathematical Connections in Art, Music and Science, 2000.
  • Craig S. Kaplan and David H. Salesin. Islamic Star Patterns in Absolute Geometry. ACM Transactions on Graphics 23(2):97-119, April 2004.
  • A. J. Lee. Islamic star patterns. Muqarnas, 4:182–197, 1995.