Integrating mathematics in architectural design and building construction helped in identifying new methodologies or tools that can generate unpredicted novel forms. Thus, architectural performance had developed with the involving of advanced mathematics fields and computational software. The approach of this research paper is to come up with findings on importance of mathematics in the process of form finding in art and architecture. Consequently, this study will investigate to what extent mathematics forms in architecture had actually a great effect on the architectural performance of building. A discussion of performance from the structural, environmental and aesthetical point of view will show. This will be done through describing how mathematics had been shifted from being an organizing tool into a creative tool then a generative medium.
Building façade plays a significant role in architecture; it is not only a mean to express the design concepts but it is the main moderator between exterior environment and internal spaces. Ecological facades are defined as the ability to response and adapt to the changes of the environmental conditions. The geometry of the proposed screen is not a focal point of this paper, as the aim is to find a method for designing and evaluating non-conventional solar screens that improve indoor daylight quality, while the specified shading screen is installed in front of a transparent full floor to ceiling glass facade. It is assumed that by using the shading screen, the required lighting levels are being maintained, while the heat gain is being reduced. In addition, the designed patterns play a role as an architectural feature of the building. Ultimately, the presented shading screens are based on geometric ornamental patterns and arranged according to the lighting requirements. Results are indicating a multi-disciplinary approach in the design of the shading screens, which can be employed in creating similar prototypes with different climatic and loading requirements.
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