Today, the improvement of facades by means of technological tools has caused them to play a more active role in the relationship between inside and outside the building. One of these technological tools is the kinetic electromechanical device. numerous experimental efforts 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 conditions, reduce their harmful role and increase the useful connection between inside and outside. one of the important issues in designing kinetic facades is their mechanism’s geometric shapes. 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 and mathematical nature in Islamic geometric patterns, they can be produced parametrically with new software and hardware. This indicates their possible use in kinetic facades. mobility in the facade (or its modules) requires the geometrical ability of its components to maintain its structure and continuity during transformation. The art of Origami is a useful tool to achieve this feature. Therefore, it seems that it is possible to turn an array of modules based on Islamic geometric patterns into a kinetic facade with the help of origami knowledge, which is transformed under certain conditions and a tool to optimize parameters related to the building performance by adjusting the internal and external connection. 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 research, 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 generated using these geometries as basic crease patterns. Next, three modules were selected to simulate daylight performance according to install them to the south façade of a room, and compared with three closed, medium and open modes, during the winter, summer and equinox. The comparison of these patterns was done by simulating the amount of light received in the software. 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 three-dimensional folding structures. Also, the geometric model based on the 72-degree generating angle allows to receive the optimal amount of daylight.
