The relation between mathematics and architecture is crucial in today’s architecture. Architects have referred to a large number of mathematical concepts and theories in their architectural designs and theoretical writings. In order to create a new architectural form which presents the characteristics of today’s world, they focus on architectural form and the process of form-creation. It is common to refer to ‘geometrical transformation’ as a method for the generation of form. Thus, this paper aims to explore how the mathematical concepts are utilized in the creation of architectural form. It focuses on ‘geometrical transformation’ as a method for the generation of architectural form.