Hexagonal Geometric Patterns Workshop with Miroslaw Majewski
Place: Istanbul Design Center
Dates: March 06, 2023 (Monday) – March 10, 2023 (Friday)
Course Hours: 10:00 am to 4:00 pm (with tea and lunch breaks)
Location: İstanbul Desing Center
Group Size: 30 participants
A laptop is needed with Geometer's Sketchpad software installed.
(Course hours include sightseeing walks as well. The mosques in Istanbul's Fatih district will be visited on foot, for about 3 or 4 hours a day.)
For quite a while, most of our workshops were related to decagonal geometric patterns. This workshop will be different. This time we will explore hexagonal designs from all over the Muslim world. As the name suggests, hexagonal patterns are based on regular hexagons and equilateral triangles. This feature makes them a good choice for a course for absolute beginners.
This will be a workshop using computer technology – Geometer’s Sketchpad for drawing patterns and Inkscape for adding extra features to our patterns. Information about available versions of GSP can be found at
In this workshop, we will cover the following subjects:
Foundations of hexagonal geometry,
Using Geometer’s Sketchpad to design patterns based on hexagons,
Constructions of several hexagonal patterns from Central Asia, Iran, India, Turkey, and Egypt,
A few large design projects like the ceiling from Qasr-al-Azem in Syria, ceiling pattern from Bukhara, Hodja Zaynddin, Indian jali screens – single and double level,
Using Inkscape free software for adding extra decorations to geometric patterns.
Monday – Hexagonal designs from Turkey
Tuesday – Central Asian and Syrian hexagonal designs
Wednesday – Moghuls’ jali screens
Thursday – Persian mosaic in hexagonal geometry
Friday – Egyptian and Moroccan hexagonal patterns
Geometer’s Sketchpad Versions
There are three versions of Geometer’s Sketchpad.
Mac version can be downloaded and installed from the website This is complete software—no need for a license number.
There are two Windows versions. For this course we will use the one with the proper installation procedure and proper help system. This one can be downloaded from the Here is the license key for it:
The license key will be shared with the participants before the course.
Teacher and Students
Miroslaw Majewski (Prof. Dr) is a former Professor at the New York Institute of Technology. Currently, Professor Emeritus at 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.
Students: This is an introductory course; anybody interested in drawing geometric patterns can enter it and learn a lot. This course can be useful for high school and university students and mathematics teachers.