Mathematical geometric model plays an important role in architectural design. By applying other mathematical principles such as the golden section, we can achieve harmony and balance by applying mathematics to architectural design. Since ancient times, the application of mathematical principles can produce beautiful and lasting buildings that have passed the test of time. Therefore, mathematics plays a vital role in design, and it is also the design basis of geometric modeling, deconstruction and parameterization.

Fractal geometry is mainly embodied in two aspects in architectural design: on the one hand, it pays attention to the relationship between the part and the whole of the building itself and the relationship between the building and the environment; On the other hand, the self-similarity of fractal geometry is also an important manifestation of complex nonlinear space.