Geometric Patterns that Have Hexagonal and Square Fictions and Methods of Analysis in Mimar Sinan Mosques (Example of Şehzade, Süleymaniye and Selimiye Mosques)

Abstract

Besides there are so many studies about geometric decoration applications,
which exist especially in architectural works in almost all around the Islamic
geography; these studies are insufficient about considering the alteration of their
geometric compositions according to their geographic diversity and
mathematical progress throughout the Islamic history. This situation is in contradiction with the wealth of geometric decoration on the architectural works
that they possess. Aim of this article is to call attention to methods of pattern
production and to conduce to make compositional analyses in next scientific
studies, which includes geometric pattern, with reference to these production
principles. This article, in addition, aims to flash on different analyses on unit
cells that have hexagonal and square fictions, which applied in classical
Ottoman artworks. In this article, it is presented that the geometric pattern
applications, which have rich diversity in also artworks of Ottoman classical
period, applied where and in which compositions. It is worked out, by
comparing to pre-Ottoman period, how the pattern applications codified. It is
included analyses of some interesting patterns, which were composed with
reference to the unit cells, through Şehzade, Süleymaniye and Selimiye
Mosques