The Topkapı Scroll's Thirteen-Pointed Star Polygon Design
Inhaltsverzeichnis
Reference
B. Lynn Bodner: The Topkapı Scroll's Thirteen-Pointed Star Polygon Design. In: Bridges 2012. Pages 157–164
DOI
Abstract
This paper will explore the Topkapı Scroll sketch known as Catalog Number 30, the only repeat unit, that, when replicated using symmetry operations, creates an overall pattern consisting of “nearly regular” thirteen- pointed stars, regular sixteen-pointed stars as well as irregularly-shaped pentagonal stars. Since there are no known written instructions explaining how this repeat unit was generated, we set out to see if we could recreate this highly unusual design using only the simplest of Euclidean construction techniques that may have been known to, and used by, master builders during medieval times.
Extended Abstract
Bibtex
Used References
[1] Necipoğlu, Gülru (1995). The Topkapı Scroll – Geometry and Ornament in Islamic Architecture: Topkapı Palace Museum Library MS H. 1956, Santa Monica, California: The Getty Center for the History of Art and Humanities.
[2] Berggren, J. L. (1986). Episodes in the Mathematics of Medieval Islam, Springer-Verlag.
[3] Özdural, Alpay (1995). Omar Khayyam, Mathematicians, and Conversazioni with Artisans, Journal of the Society of Architectural Historians, 54, 54 - 71.
[4] Özdural, Alpay (2000). Mathematics and Art: Connections between Theory and Practice in the Medieval Islamic World, Historia Mathematica, 27, 171 - 201.
[5] The Geometer’s Sketchpad software program, available at http://www.keypress.com.
[6] Bourgoin, J. (1973). Arabic Geometrical Pattern and Design, Dover Publications. Original 1879.
[7] Pattern in Islamic Art: The Wade Photo Archive, available at http://www.patterninislamicart.com
[8] http://upload.wikimedia.org/wikipedia/commons/2/26/Momine_perspective_wiki.jpg
Links
Full Text
http://archive.bridgesmathart.org/2012/bridges2012-157.pdf
