Performance-based design optimization for minimal surface based form

Currently, many studies are being done using optimization tools. However, optimization studies done with complex geometry are limited. Even so, the move toward complex geometric forms is a feature in the world of contemporary architecture. Hence, in this study, the minimal surface form, away from the Euclidean geometry, is considered as the roof cover of the building and optimization of the form is considered to be done according to the daylighting, radiation and covered area parameters. In this context, using a genetic algorithm based multi-objective optimization tool, a model is developed whose objectives are reducing radiation, increasing daylight in the space and increasing the floor surface area of the form. The results, which are obtained at the end of the optimization simulation, are evaluated. The complex forms, which are the result of optimization, are also modelled in the form of related Euclidean geometries and analyzed. The energy efficiency of the two forms is compared, and the complex forms are found to be more energy efficient than those with Euclidean geometry. When a complex form admits more daylight, a similar form made with a Euclidean geometry admits less daylight. Likewise, while the complex form is exposed to a lower radiation, a form of Euclidean geometry of similar form experiences a greater radiation.