Evaluating the significance and advancement of three-dimensional Islamic architectural geometric patterns: Muqarnas

Geometry is a formative idea for art and architecture. Focusing on Islamic architecture as the topic of this research, it can be said that Muslims had a complex understanding of Non-Euclidean geometry shown in their arts and architecture. Geometric patterns have a great significance in Islamic architecture. The thesis starts with the aim of research and continues with a chapter about the mathematical aspects of geometry and patterns giving a technical view on the principles of their application in art and architecture. Geometric patterns are the most consistent part of Islamic architecture all over the world how they have been adapted and changed or developed through time and technology to contemporary Islamic architecture shows the development level and complexity of the Islamic world in modern days. The evolution and advancement of two and three-dimensional Islamic geometric patterns are reflected focusing on Muqarnas. The continuity of Islamic geometric patterns especially Muqarnas as a lively theory that is not only copy and passed from previous works but can be advanced with technology to integrate it in contemporary works is the aim of this research. The way to do that is by studying it in pieces or parts to be developed rather than a complete object by itself. Keywords: Geometry, Islamic Geometric patterns, 2D Islamic geometric patterns, Muqarnas