Application of Islamic Geometry Motifs in Optimization of Kinetic Facades Regarding Daylight

Today, equipping facades with technological tools has led them to play a more active role in the relationship between interior and exterior. One of these technological tools is the use of electromechanical moving views. Numerous experiments and researches have shown that moving (or kinetic) facade systems can establish a better interaction between inside and outside the building and by adjusting the environmental effects, reduce their harmful role and increase the useful communication inside and outside. One of the important issues in designing moving facades is their geometry. This geometry, on the one hand, must be able to open and close, and on the other hand, must have aesthetic values. Due to the systematic nature and based on mathematical rules in Islamic geometric patterns, today they can be produced parametrically with new software and hardware. This indicates their possible use in moving views. Mobility in the facade (or its modules) requires the geometric ability of its components to maintain its structure and continuity in deformation. Origami provides useful tools in this regard. Therefore, it seems that it is possible to turn an array of modules based on Islamic geometric patterns into a moving view with the help of origami knowledge, which is deformed under certain conditions and a tool to optimize related parameters by adjusting internal and external communication. Provide with building efficiency. The facade of a building is associated with a set of factors. In this regard, it is said that the effect of natural light in shaping the shape of the building is very important. Accordingly, in this study, an attempt was made to extract the optimal geometry pattern and the appropriate origami stimulus angle by creating several origami patterns based on Islamic geometric patterns and adapting them to daylight at different times of the year. For this purpose, first, using quantitative mathematical tools, an algorithm was developed that could be used to create a wide range of Islamic geometric patterns. Then, in the next step, origami opening and closing modules were produced by using these geometries as folding base patterns. Next, three modules were selected to simulate daylight performance and compared to the south façade of a room, with three closed, medium and open modes during the winter, summer and equinox revolutions. The comparison of these patterns was done by simulating the amount of light received in the software environment. The findings of this study include several main axes. First, the geometry of Islamic motifs can be reproduced by parametric patterns. Second, these patterns can be transformed into folding three-dimensional structures. Also, the geometric model based on the 72 degree generating angle has the best performance in receiving daylight.