The Use of the Language of Mathematics as an Inspiration for Contemporary Architectural Design

AbstractThe purpose of the article is to present the evolution of the use of mathematical language as an inspiration for creating spatial, three-dimensional forms in art and architecture. The article focuses on the possibilities for art and architectural design ideas gained by contemporary mathematics, algorithms and computational parametric approach. The analysis of various examples represents the relationships between the composition of spatial forms and the rules of mathematics. It is evident in different time frames, different styles and different approaches to thinking about and creating art and architecture. The starting point for this analysis is the symbolic Vitruvian golden ratio and its impact on the principles of spatial forms composition. Next, using the study of the geometric art of folding and cutting paper to create three-dimensional spaces, elements of applied art or even furniture or clothing, the article reaches to the mathematical issue of fractals, as the most accurate illustration of the aims of the parameterization in contemporary architecture. Parametric architecture, as a way of thinking about building as a set of numerically coded aspects, demonstrates the possibilities of using mathematical resources to improve functioning of the building by using optimization algorithms. The article shows possibilities of such uses of mathematics in generating spatial forms. Further, this analysis asks about the possible risks and disadvantages of such an approach, wondering if the correct definition of architecture is possible to achieve simply by using language of mathematics without all the other immeasurable aspects