Persian Variations

J. Bonner, “Three traditions of self-similarity in fourteenth and fifteenth century Islamic geometric ornament”, Proc. ISAMA/Bridges, (Granada, 2003), eds. R. Sarhangi and N. Friedman, pp. 1–12, 2003.

J. Bonner, “The Historical Use of Polygonal System to Create Islamic Geometric Patterns”, Les tracés de l’Arabesque géométrique”, Académie des Arts Traditionnels, Casablanca, 2013

J.-M. Castera, “Flying Patterns”, Proc. ISAMA/Bridges, Coimbra, 2011. Can be downloaded from Bridge’s web site, or from http://castera.net/entrelacs/public/articles/Flying_Patterns.pdf

J.-M. Castera, “Arabesques for Abu-Dhabi”, Symmetry: Culture and Science, Vol. 19, Numbers 2–3, 165–174, 2008.

J.-M. Castera, Arabesques: Art Décoratif au Maroc, ACR Edition, 1996.

P. R. Cromwell, “Modularity and hierarchy in Persian geometric ornament”, preprint 2013.

P. R. Cromwell, “The search for quasi-periodicity in Islamic 5-fold ornament”, Math. Intelligencer 31 no 1 36–56, 2009

E. H. Hankin, “The Drawing of Geometric Patterns in Saracenic Art”, Memories of the Archaeological Society of India, Vol 15, Government of India, 1925.

C. S. Kaplan, “Islamic star patterns from polygons in contact”, Graphics Interface 2005, ACM International Conference Proceeding Series 112, pp. 177–186, 2005

C. S. Kaplan, Computer Graphics and Geometric Ornamental Design, PhD thesis, 2002. Can be downloaded on http://www.cgl.uwaterloo.ca/~csk/phd/

A. J. Lee, “Islamic star patterns”, Muqarnas IV: An Annual on Islamic Art and Architecture, ed. O. Grabar, Leiden, pp. 182–197, 1987.

P. Lu and P.J. Steinhardt, “Decagonal and quasi-crystalline tilings in medieval Islamic architecture”, Science 315, pp. 1106–1110, 2007

E. Makovicky, “800-year old pentagonal tiling from Maragha, Iran, and the new varieties of aperiodic tiling it inspired”, Fivefold Symmetry, ed. I. Hargittai, World Scientific, pp. 67–86, 1992.

H. Mofid, M. Raieszadeh, Revival of the Forgotten Arts: Principles of the Traditional Architecture in Iran According to Hossein Lorzadeh, Mola Publications, Tehran, Iran, 1995 (In Persian)

G. Necipogglu, The TopkapiScroll: Geometry and Ornament in Islamic Architecture, Getty sCenter Publication, 1995.

A. Paccard, Le Maroc et l’artisnat traditionnel Islamique dans l’architecture, Atelier 74, 1980

M. Pelletier, “Zellij Qusicrystals—A Gallery”, Les tracés de l’Arabesque géométrique, Académie des Arts Traditionnels, Casablanca, 2013

R. Sarhangi, “Polyhedral Modularity in a Special Class of Decagram Based Interlocking Star Polygons”, Bridges 2012: Mathematics, Music, Art, Architecture, Culture, pp. 165–174, 2012.

A. Shaarbaf, Ghirih and karbandi, Volume 1, The National Organization for Protection of Iran’s Antiquities, 1982.