Star Polygon Designs of La Alhambra's Wooden Ceilings

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Reference

B. Lynn Bodner: Star Polygon Designs of La Alhambra's Wooden Ceilings. In: Bridges 2004. Pages 125–132

DOI

Abstract

This paper will describe how some of the beautiful Islamic star polygon designs found in the wooden ceilings of La Alhambra may be reconstructed using only the geometer's tools of straightedge and compass (or the electronic counterpart, the Geometer's Sketchpad software). The idealized, computer-generated patterns will be compared with photographs of the original ceilings. The crystallographic symmetry group classification for each ceiling design will also be discussed.

Extended Abstract

Bibtex

Used References

[1] M. Danby. Moorish Style. Phaidon, 1999.

[2] J. B. Lopez and P. G. Andrew. Official Guide: The Alhambra and Generalife. Patronato de la. Alhambra y Generalife, 1999.

[3] B. Grunbaum and G. C. Shepard. Tilings and Patterns. W. H. Freeman, 1987.

[4] I. EI-Said and A. Parman. Geometric Concepts in Islamic Art. Dale Seymour Publications, 1976.

[5] B. L. Bodner, An Unusual Nine-Pointed Star Polygon Design of La Alhambra, Proceedings ofISAMA, 2004.

[6] B. L. Bodner, Constructing and Classifying Designs of al-Andalus, Proceedings ofISAMA-Bridges, 2003.

[7] B. L. Bodner, Mathematics ofIslamic Art, 45-minute invited talk and I-hour invited workshop at the Mathematical Association of America (MAA), New Jersey Section,2002.

[8] B. L. Bodner, Islamic Art, 2-hour special invited session at the MAA Mathfest meeting, 2001.

[9] The Geometer's Sketchpad (version 4) software, distributed by Key Curriculum Press, 2001.

[10] S. J. Abas and A. S. Salman, Symmetries ofIslamic Geometrical Patterns. World Scientific, 1998.


Links

Full Text

http://archive.bridgesmathart.org/2004/bridges2004-125.pdf

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http://archive.bridgesmathart.org/2004/bridges2004-125.html