The Geometric Studies of Some Mosaic Design Compositions and Puzzles Presented in a Historical Treatise
Inhaltsverzeichnis
Reference
Reza Sarhangi: The Geometric Studies of Some Mosaic Design Compositions and Puzzles Presented in a Historical Treatise. In: Bridges 2015. Pages 27–36
DOI
Abstract
Interlocks of Similar or Complementary Figures is the only treatise about girih construction that has survived for many centuries. It is believed that the document was written sometime between the 13th and 15th centuries by an anonymous mathematician/craftsman. This is the only document remaining from the medieval Persian that demonstrates how a girih can be constructed using compass and straightedge. The treatise includes some puzzles for polygon transformations. This article includes the study of many puzzles and girihs that have been documented in the treatise. All images, except for photographs from the treatise, have been created by the author using the Geometer's Sketchpad (GSP) software program.
Extended Abstract
Bibtex
@inproceedings{bridges2015:27,
author = {Reza Sarhangi},
title = {The Geometric Studies of Some Mosaic Design Compositions and Puzzles \\ Presented in a Historical Treatise},
pages = {27--36},
booktitle = {Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture},
year = {2015},
editor = {Kelly Delp, Craig S. Kaplan, Douglas McKenna and Reza Sarhangi},
isbn = {978-1-938664-15-1},
issn = {1099-6702},
publisher = {Tessellations Publishing},
address = {Phoenix, Arizona},
note = {Available online at \url{http://archive.bridgesmathart.org/2015/bridges2015-27.html }},
url = {http://de.evo-art.org/index.php?title=The_Geometric_Studies_of_Some_Mosaic_Design_Compositions_and_Puzzles_Presented_in_a_Historical_Treatise },
}
Used References
[1] Anonymous. Interlocks of Similar or Complementary Figures. Paris: Biblioth`eque Nationale, ancien fonds. Persan 169, ff. 180r–199v.
[2] Jazbi, S. A. (translator and editor), Applied Geometry, Soroush Press, ISBN 964 435 201 7, Tehran 1997.
[3] Maher-al-Naghsh, M., Design and Execution in Persian Ceramics, Reza Abbasi Museum Press, Tehran,1984.
[4] Necipoğlu, G., The Topkapi Scroll: Geometry and Ornament in Islamic Architecture, Getty Center Publication, Santa Monica, USA, 1995.
[5] Özdural, A., Mathematics and Arts: Connections between Theory and Practice in the Medieval Islamic World, Historia Mathematica 27, Academic Press, 2000, pp. 171-301.
[6] Sarhangi, R., The Sky Within: Mathematical Aesthetics of Persian Dome Interiors, , Nexus Network Journal, Kim Williams (ed), Volume 1, 1999, PP. 87-97. (also appeared in the 1999 Bridges Proceedings).
[7] Sarhangi, R., Interlocking Star Polygons in Persian Architecture: The Special Case of the Decagram in Mosaic Designs, Nexus Network Journal, Kim Williams (ed), Volume 14, N. 2, 2012, pp. 345-372. (a short version of this paper appeared in the 2012 Bridges Proceedings).
Links
Full Text
http://archive.bridgesmathart.org/2015/bridges2015-27.pdf
