TürkçeTürkçe| Lecturer: | Prof. Dr. Miroslaw Majewski New York Institute of Technology College of Arts & Sciences Abu Dhabi Campus United Arab Emirates | |
| Place: | Bolu Abant İzzet Baysal University Congress Centre | Date: 2nd May at 14:00 |
| Place: | İstanbul Boshophorus University Department Of Primary Education Nh 201 | Date: 3rd May at 16:00 |
For a number of years we witness an ongoing discussion on how these ornaments were created.
Some authors sustain that designers of these ornaments were using sophisticated geometry.
Some of the authors even assume that creators of these ornaments have been using principles similar to those described in 1974 by Penrose, and known now as quasicrystalline ornaments.
On the other side of this spectrum there are authors who argue that there is no evidence that creators of these ornament used mathematics in their work.
However, everyone agrees that Islamic ornaments are quite interesting objects from mathematical point of view and mathematics, in particular geometry, can be useful in analyzing these ornaments.
In my lecture I will look at these ornaments from a school mathematics point of view.
I will explore selected geometric ornaments. Many of these ornaments can be recreated using precise geometric constructions.
I will analyze the structure of these patterns and show how these ornaments can be constructed.
I will use a computer program, Geometer's Sketchpad, to construct these grids as well as complete ornaments.
I will emphasize didactical value of these ornaments.
It is important to notice that while creating Islamic geometric ornaments students 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 equal parts, transformations of figures, symmetry groups, coloring maps, and many other topics.