Islamic Geometric Ornaments in Istanbul

Islamic Geometric Ornaments

Islamic Geometric Ornaments

Islamic ornaments are one of the greatest achievements of ancient geometers, artisans and craftsmen in the Middle East, Turkey, India, Spain, and North Africa.  These ornaments are frequently used to decorate sacred, secular and private buildings, books, and furniture. Istanbul, in particular, is a place where such ornaments were, and still are, frequently used.

In this book we will explore selected geometric ornaments from Istanbul. Many of these ornaments can be created by using very precise geometric constructions. We will analyze the structure of these ornaments and show how grids used to draw these ornaments, were constructed. A computer program, The Geometer’s Sketchpad, will be used to construct these grids as well as complete ornaments. In a few examples a computer graphics program will be used to add some finishing touches to our work. Many of the examples presented in this book have a significant cognitive value. While creating them we can learn a number of important topics in geometry, e.g., constructions of regular polygons, constructions of figures circumscribed or inscribed in a circle, division of angles and segments into a given number of parts, transformations of figures, a touch of symmetry groups,  and a number of other topics. (more>>)

About Mirek Majewski

Mathematician specializing in geometry of art and architecture.
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2 Responses to Islamic Geometric Ornaments in Istanbul

  1. ionaf says:

    Hi your book sounds really interesting, do you cover pentagonal and decagonal tiling in your book and how to construct it? Also, can the book be downloaded as an e-book? I’d be really interested to buy a copy from you. Thanks!!

  2. Iona, thanks for your comment. I do not cover pentagonal examples but as I remember I had some decagonal examples. Unfortunately the book is gone. As I know the publisher has no single copy, I have one or two only for special events. I am planning to publish expanded version of this book but I have to find a publisher.
    I like the movie from your web site at Radi-Arts: http://radii-arts.com/ . It looks that you have a lot of interesting activities. This is pity, in December I was in Amman and we could meet. But I didn’t know about you at this time.

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