Islamic Constructions: The Geometry Needed by Craftsmen
Inhaltsverzeichnis
Reference
Raymond Tennant: Islamic Constructions: The Geometry Needed by Craftsmen. In: Bridges 2003. Pages 459–464
DOI
Abstract
The Islamic world has a .rich artistic tradition of creating highly geometric and symmetric ornamentation. Over the centuries, the process of creating Islamic tilings was refined from the J5'h Century ornamentation in the Alhambra Palace in Granada, Spain to the exquisite tilings, which are seen in mosques, mausoleums and minarets throughout the world today. The contemporary mathematics of group theory and knot theory combined with computer programs provide tools for creating modem day variations of these historical tilings. The title of this paper is motivated by the Idh Century treatise On Those Parts of Geometry Needed by Craftsmen written by the Khorasan mathematician and astronomer Abu'I-WajQ Bul,jiini who described several constructions made with the aid of straightedge and "rusty compass", a compass with a fixed angle. He was one of a long line of Islamic mathematicians who developed geometric techniques that proved useful to artisans in creating the highly symmetrical .omamentationfound in architecture around the world today. This paper looks at the geometry of Abu'I-WqfQ BUQiini with an eye toward determining geometric methods for reproducing Islamic tilings with students in the classroom.
Extended Abstract
Bibtex
Used References
[1 Alpay Ozdural, Mathematics and Art: Connections between Theory and Practice in the Medieval Islamic World, Historia Mathematica, Vol. 27, pp. 171-201,2000.
[2] J.L. Berggren, Episodes in the Mathematics o/MedievaIIslam, Springer-Verlag, 1986.
Links
Full Text
http://archive.bridgesmathart.org/2003/bridges2003-459.pdf
