Hankin’s ‘Polygons in Contact’ Grid Method for Recreating a Decagonal Star Polygon Design

Aus de_evolutionary_art_org
Wechseln zu: Navigation, Suche


B. Lynn Bodner: Hankin’s ‘Polygons in Contact’ Grid Method for Recreating a Decagonal Star Polygon Design. In: Bridges 2008. Pages 21–28



The crafts tradition that produced Islamic geometric designs is most likely based on methods requiring a considerable amount of practical geometrical knowledge. This methodology was understood and practiced by master builders using the traditional tools of the medieval period, such as the compass with a fixed opening (a “rusty compass”), straightedge, and set square for initially creating new designs; and then memorized repeat units for recreating already familiar and well-established patterns. This paper will discuss the re-creation of a specific decagonal star polygon design, using a method proposed by E.H. Hankin, called a “polygons in contact” grid.

Extended Abstract


Used References

[1] Berggren, J. L. (1986). Episodes in the Mathematics of Medieval Islam, Springer-Verlag.

[2] Özdural, Alpay (1995). Omar Khayyam, Mathematicians, and Conversazioni with Artisans, Journal of the Society of Architectural Historians, 54, 54-71.

[3] Özdural, Alpay (2000). Mathematics and Art: Connections between Theory and Practice in the Medieval Islamic World, Historia Mathematica, 27, 171 – 201.

[4] Necipoğlu, Gülru (1995). The Topkapi Scroll – Geometry and Ornament in Islamic Architecture: Topkapi Palace Museum Library MS H. 1956, Santa Monica, California: The Getty Center for the History of Art and Humanities.

[5] López de Arenas, Diego (1912). Reprint. Breve compendio de la carpintería de lo blanco y tratado de alarifes. Madrid: R. Álvarez. Original edition, Seville: Luis Estupán, 1633-

[6] Hankin, E. H. (1905). On Some Discoveries of the Methods of Design Employed in the Mohammedan Art, Journal of the Society of Arts, 53, 461-477.

[7] O’Kane, B. (1987). Timurid Architecture in Khurasan. Costa Mesa, California: Mazda.

[8] Hankin, E. H. (1925). The Drawing of Geometric Patterns in Saracenic Art. Memoirs of the Archaeological Survey of India, Government of India, Central Publications Branch.

[9] Bodner, B. L. (2004). “Star Polygon Designs of La Alhambra’s Wooden Ceilings,” Bridges: Mathematical Connections in Art, Music, and Science Conference Proceedings.

[10] Bodner, B. L. (2006). “Remarkable Pentagon Star Polygon Designs,” 45-minute keynote address, Geometric Islamic Art Workshop, Leiden University, Netherlands.

[11] Bodner, B. L. (2007). “Creating Geometric Islamic Designs,” 90-minute SIGMAA-ARTS Special Session, Mathematical Association of America Mathfest, San Jose, CA .


Full Text


intern file

Sonstige Links