Persian Decagonal Geometric Pattern Design


A fifteen-week online course on geometric pattern design offered by the Istanbul Design Center School of Geometric Patterns in Islamic Arts

Course data in brief

Instructor: Prof. Dr. Miroslaw Majewski

• Course duration: 15 weeks, 2 hours per week + discussion time, with 2 weeks break for Christmas and New Year

• Course timing: Fridays

6:00 PM GMT, UK Time, 7:00 PM Cairo Time, 8:00 PM Istanbul Time, 9:30 PM Tehran Time

• Course starting day: October 2, 2020

• Language: English and no translation (sorry)

• Group size: 25-30 persons,

Essential features of the course:

• International group

• Free of charge – there is no fee for this course

• All coursework in Geometer’s Sketchpad - a basic software for teaching school geometry

• Focusing on concepts and understanding of pattern design

• Strict assessment

What should you expect?

This course will be focusing on geometric aspects of decagonal patterns from various places in Central Asia and Iran. Numerous designs from this region will be used as an illustration of geometric concepts.

We will use the traditional gereh method that was used in XV-XVIII centuries by Persian architects and craftsmen.

For each example, we will start by finding proportions of the template, then we will create the geometry of the pattern, and finally, we will add to it its decoration - the pattern.

No pain, no gain

The course will be demanding and you will be expected to demonstrate your progress in the form of finished designs. You will have to submit them always before the next class.

Feel free to ask questions and discuss with us anything related to this course. There are no silly questions. Each question may lead to an exciting discussion and forming a valuable knowledge.

Geometry goes first

The focus of this course will be on the geometry of patterns - not on particular designs. Understanding and creating geometry for a pattern or group of patterns will always be the two main tasks. Patterns will be treated as a decoration for geometry.

Geometry and technology

Through each class of the course, we will use Geometer’s Sketchpad. You can download it from link

The license for it, you will get during the first class. Before starting the course, you have to figure out how you can handle on your computer screen two tasks at the same time – listening and watching the course and at the same time drawing on your screen. This will be the tricky part. Of course, you can forget about Sketchpad and draw by hand on the paper. But this is the only course where you can learn how to use Sketchpad to draw patterns. If you know GeoGebra and you want to stick to it. This is OK. But you are on your own. I will not be able to help you with using GG.

After geometry comes art

We will discuss forms of artistic interpretations of patterns. Thus we will talk about patterns made out of ceramic tiles, carving patterns in wood and stone, Persian kundekari designs, geometric art made out of mirrors, etc.

If time permits, we may have short virtual excursions to some places in Central Asia.

Possible topics

1. Learning how to use Geometer’s Sketchpad

2. Basic geometric constructions (of course with Sketchpad) esp. constructions related to decagonal geometry

3. Basic styles of decagonal patterns

4. Patterns on decagonal grids

5. Exploring proportions of decagonal designs

6. Introduction to decagonal structural methods and Isfahani inflation technique

Participants: Anybody ready to work hard and learn the theory of pattern design, will be welcome. This is an academic level course, and it fits nicely into some university programs – graphics design, architecture, mathematics education.

If you are interested only in drawing a few simple patterns (just to impress your friends), then find yourself another course. There are a few of them around.

Before starting the course

You may consider looking at the book

You will find there some important fundamentals useful for this course.

We thank you all for their interest in this course. At the very moment we have 170 applications and we decided to close this form. Now, we will select 30-50 participants. Each of them will get a confirmation mail from us. If you will not get any mail from us, then we invite you to take another course from IDC offer or wait until the next course. We will be happy to see you at Istanbul Design Center.

Miroslaw Majewski

(Prof. Dr) is a former Professor of the New York Institute of Technology. Currently, Professor Emeritus of NYIT. Many years of research in the geometry of art and technology for mathematics. Author of numerous books and publications (many of them related to the geometry of patterns). Designer of many geometric patterns – some are reconstructions of well-known patterns, and some of them are entirely new.