Within this course we will explore the relation between mathematics and architecture from antiquity up to the present day. We will explain how geometry led to the design and creation of complex structures.
The course covers the following: The golden ratio. The triangle in art and architecture. The rectangle and its uses in painting and architecture. The polygons and their uses. Symmetry and paterns. Tilings. The circle in art and architecture. Circular constructions, arches and domes. The ellipse, the oval shape, the spiral. Polyhedra and applications. The Platonic and Archimedean solids.