1. INTRODUCTION As the fundamental science of forms and their order geometry contributes to the process of composition and designing in architecture. Composition in architecture starts with ele-ments and their relations. Geometry is able to make a contribution to this process by dealing with geometric figures and forms as elements as well as proportions, angles and transforma-tions as relations between them. Structures build the foundation of composing. Structures indicate general systems of order in various scientific disciplines, derived from the Latin notion “structura” which means join together in order. Mathematics can be seen as a general science of structures by considering systems of elements and their relations or operations. This concept is for example the background for the innovative approach to composition of Richard Buckminster Fuller. "Mathematics is the sci-ence of structure and pattern in general.