The arts of ornamental geometry : : a Persian compendium on similar and complementary interlocking figures = Fī tadākhul al-ashkāl al-mutashābiha aw al-mutāwafiqa (Bibliothèque Nationale de France, Ms. Persan 169, fols. 180r-199r) : a volume commemorating Alpay Ozdural / / edited by Gulru Necipoglu ; with contributions by Jan P. Hogendijk [and four others].

• Superior document: Studies and Sources in Islamic Art and Architecture, Volume 13
• TeilnehmendeR: Necipoğlu, Gülru,; Hogendijk, J. P.,
• Place / Publishing House: Leiden, The Netherlands ;, Boston, [Massachusetts] : : Brill,, 2017.; ©2017
• Year of Publication: 2017
• Language: English; French
• Series: Studies and sources in Islamic art and architecture ; Volume 13.
• Physical Description: 1 online resource (382 pages) :; color illustrations.

This collective study focuses on a unique anonymous medieval document on ornamental geometry featuring geometrical constructions and textual instructions in Persian. Selections from the unpublished work of Alpay Özdural (d. 2003) on this subject have been updated with original contributions by Jan P. Hogendijk, Elaheh Kheirandish, Gülru Necipoğlu, and Wheeler M. Thackston. The chapters interpreting this fascinating document are followed, for the first time, by a facsimile, transcription, and translation, as well as drawings of incised construction lines invisible in the photographed facsimile. This publication intersects with the current interest in Islamic geometrical patterning as an inspiration for tessellation and parametrically derived forms in contemporary architecture and the arts. It aims to make this celebrated source more accessible, given its multifaceted relevance to historians of art, architecture, and science, as well as mathematicians, physicists, artists, and architects. For those who wish to obtain a copy of the full, unedited original book manuscript of Alpay Özdural, where he discusses the mathematical properties of all geometrical constructions in the Anonymous Compendium as well as the step-by-step method for drawing each one, his work is available online at https://doi.org/10.6084/m9.figshare.5255416

Table of Contents

Preliminary Material -- Introduction: In Memory of Alpay Özdural and His Unrealized Book Project / Gülru Neci̇poğlu -- 1 Ornamental Geometries: A Persian Compendium at the Intersection of the Visual Arts and Mathematical Sciences / Gülru Neci̇poğlu -- 2 An Early Tradition in Practical Geometry: The Telling Lines of Unique Arabic and Persian Sources / Elaheh Kheirandish -- 3 A Mathematical Classification of the Contents of an Anonymous Persian Compendium on Decorative Patterns / Jan P. Hogendijk -- 4 Preliminaries / Alpay Özdural -- Translation, Transcription, and Drawings / Alpay Özdural , Wheeler M. Thackston and Gülru Necipoğlu -- Facsimile / Gülru Necipoğlu.