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Reseach Article

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

by T. Gangopadhyay
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 67 - Number 1
Year of Publication: 2013
Authors: T. Gangopadhyay
10.5120/11358-6579

T. Gangopadhyay . Further Tiling Patterns Involving Islamic Stars with an Odd Number of Vertices. International Journal of Computer Applications. 67, 1 ( April 2013), 12-16. DOI=10.5120/11358-6579

@article{ 10.5120/11358-6579,
author = { T. Gangopadhyay },
title = { Further Tiling Patterns Involving Islamic Stars with an Odd Number of Vertices },
journal = { International Journal of Computer Applications },
issue_date = { April 2013 },
volume = { 67 },
number = { 1 },
month = { April },
year = { 2013 },
issn = { 0975-8887 },
pages = { 12-16 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume67/number1/11358-6579/ },
doi = { 10.5120/11358-6579 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:26:36.092368+05:30
%A T. Gangopadhyay
%T Further Tiling Patterns Involving Islamic Stars with an Odd Number of Vertices
%J International Journal of Computer Applications
%@ 0975-8887
%V 67
%N 1
%P 12-16
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
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
  1. Syed Jan Abas and Amer Shaker Salman. Symmetries of Islamic Geometrical Patterns. World Scienti?c, 1995.
  2. J. Bourgoin. Arabic Geometrical Pattern and Design. Dover Publications, 1973. .
  3. Jean-Marc Castera. Zellijs, muqarnas and quasicrystals. In Nathaniel Friedman and Javiar Barrallo, editors,ISAMA 99 Proceedings, pages 99–104, 1999. l.
  4. Jean-Marc Castera et al. Arabesques: Decorative Art in Morocco. ACR Edition, 1999.
  5. A. K. Dewdney. The Tinkertoy Computer and Other Machinations, pages 222–230. W. H. Freeman, 1993.
  6. Douglas Dunham. Artistic patterns in hyperbolic geometry. In Reza Sarhangi, editor, Bridges 1999 Proceedings, pages 139–149, 1999.
  7. Branko Gr¨unbaum and G. C. Shephard. Tilings and Patterns. W. H. Freeman, 1987.
  8. Branko Gr¨unbaum and G. C. Shephard. Interlace patterns in islamic and moorish art. Leonardo, 25:331–339,1992.
  9. 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.
  10. E. H. Hankin. Memoirs of the Archaeological Society of India, volume 15. Government of India, 1925.
  11. Craig S. Kaplan. Computer Generated Islamic Star Patterns. In Bridges 2000: Mathematical Connections in Art, Music and Science, 2000.
  12. Craig S. Kaplan and David H. Salesin. Islamic Star Patterns in Absolute Geometry. ACM Transactions on Graphics 23(2):97-119, April 2004.
  13. A. J. Lee. Islamic star patterns. Muqarnas, 4:182–197, 1995.
Index Terms

Computer Science
Information Sciences

Keywords

Polygon Rosette Star Symmetry Trigonometric