The Unique Eleven-Pointed Star Polygon Design of the Topkapı Scroll
Inhaltsverzeichnis
Reference
B. Lynn Bodner: The Unique Eleven-Pointed Star Polygon Design of the Topkapı Scroll. In: Bridges 2009. Pages 147–154
DOI
Abstract
This paper will explore an eleven-pointed star polygon design known as Catalog Number 42 of the Topkapı Scroll. The scroll contains 114 Islamic architectural and ornamental design sketches, only one of which produces an eleven-pointed star polygon. The design also consists of “nearly regular” nine-pointed star polygons and irregularly-shaped pentagonal stars. We propose one plausible “point-joining” compass-and- straightedge reconstruction of the repeat unit for this highly unusual design.
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] The Geometer’s Sketchpad software program, available at http://www.keypress.com.
[3] Bodner, B. L. (2008). “Hankin’s ‘Polygons in Contact’ Grid Method for Recreating a Decagonal Star Polygon Design,” Bridges: Mathematical Connections in Art, Music, and Science Conference Proceedings.
[4] Dutch, Steven. (2009) 11-Pointed Star: Approximate, available at http://www.uwgb.edu/DutchS/RECMATH/Star11Approx.HTM.
[5] Bourgoin, J. (1973). Arabic Geometrical Pattern and Design, Dover Publications. Original 1879.
[6] Pattern in Islamic Art: The Wade Photo Archive, available at http://www.patternsinislamicart.com
Links
Full Text
http://archive.bridgesmathart.org/2009/bridges2009-147.pdf
