CFP last date
22 April 2024
Call for Paper
May Edition
IJCA solicits high quality original research papers for the upcoming May edition of the journal. The last date of research paper submission is 22 April 2024

Submit your paper
Know more
Reseach Article

Construction of Islamic Stars and Rosettes using Turtle Geometry and Tiling Patterns based on Them

by T. Gangopadhyay
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 180 - Number 31
Year of Publication: 2018
Authors: T. Gangopadhyay
10.5120/ijca2018916817

T. Gangopadhyay . Construction of Islamic Stars and Rosettes using Turtle Geometry and Tiling Patterns based on Them. International Journal of Computer Applications. 180, 31 ( Apr 2018), 30-35. DOI=10.5120/ijca2018916817

@article{ 10.5120/ijca2018916817,
author = { T. Gangopadhyay },
title = { Construction of Islamic Stars and Rosettes using Turtle Geometry and Tiling Patterns based on Them },
journal = { International Journal of Computer Applications },
issue_date = { Apr 2018 },
volume = { 180 },
number = { 31 },
month = { Apr },
year = { 2018 },
issn = { 0975-8887 },
pages = { 30-35 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume180/number31/29245-2018916817/ },
doi = { 10.5120/ijca2018916817 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:02:23.931163+05:30
%A T. Gangopadhyay
%T Construction of Islamic Stars and Rosettes using Turtle Geometry and Tiling Patterns based on Them
%J International Journal of Computer Applications
%@ 0975-8887
%V 180
%N 31
%P 30-35
%D 2018
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Islamic star and rosette patterns have been extensively studied for their symmetry and aesthetic appeal. This paper presents several new construction methods for stars and rosettes using Turtle geometry and also presents new geometric shapes even more complex than stars and rosettes the construction of which is based on Turtle geometry. It also explores new Turtle geometry based tiling patterns that use these shapes.

References
  1. Syed Jan Abas and Amer Shaker Salman. Symmetries of Islamic Geometrical Patterns. World Scientific, 1995.
  2. Harold Abelson and Andrea diSessa, Turtle Geometry,The MIT press,1986.
  3. J. Bourgoin. Arabic Geometrical Pattern and Design. Dover Publications, 1973. .
  4. Jean-Marc Castera. Zellijs, muqarnas and quasicrystals. In Nathaniel Friedman and Javiar Barrallo, editors,ISAMA 99 Proceedings, pages 99–104, 1999. l.
  5. Jean-Marc Castera et al. Arabesques: Decorative Art in Morocco. ACR Edition, 1999.
  6. A.K. Dewdney. The Tinkertoy Computer and Other Machinations, pages 222–230. W. H. Freeman, 1993.
  7. Douglas Dunham. Artistic patterns in hyperbolic geometry. In Reza Sarhangi, editor, Bridges 1999 Proceedings, pages 139–149, 1999.
  8. Branko Gr¨unbaum and G. C. Shephard. Tilings and Patterns. W. H. Freeman, 1987.
  9. Branko Gr¨unbaum and G. C. Shephard. Interlace patterns in islamic and moorish art. Leonardo, 25:331–339,1992.
  10. T. Gangopadhyay, On Tiling Patterns Involving Islamic Stars with an Odd Number of Vertices, International journal of computer applications, Vol. 65, number 8, 39-44.
  11. T. Gangopadhyay, Further Tiling Patterns Involving Islamic Stars with an Odd Number of Vertices, International journal of computer applications, Vol. 67, number 1, 12-16
  12. T. Gangopadhyay, On Tiling Patterns Involving Islamic rosettes with an Odd Number of Vertices, International journal of computer applications, Vol. 69, number 9, 9-14,
  13. T. Gangopadhyay, Further Tiling Patterns Involving Islamic rosettes with an Odd Number of Vertices, International journal of computer applications, Vol. 71, number 6, 36-41.
  14. E.H. Hankin. Memoirs of the Archaeological Society of India, volume 15. Government of India, 1925.
  15. Craig S. Kaplan. Computer Generated Islamic Star Patterns. In Bridges 2000: Mathematical Connections in Art, Music and Science, 2000.
  16. Craig S. Kaplan and David H. Salesin. Islamic Star Patterns in Absolute Geometry. ACM Transactions on Graphics 23(2):97-119, April 2004.
  17. A.J. Lee. Islamic star patterns. Muqarnas, 4:182–197, 1995.
Index Terms

Computer Science
Information Sciences

Keywords

Turtle Geometry Rosette Star Symmetry Trigonometric