Design and Mathematics
Architecture and design utilize almost every aspect of mathematical theory. It encompasses geometry, basic algebra, proportion, symmetry and perspective. Renaissance Architecture used symmetry as a guiding principle. Andrea Palladio designed his buildings using symmetry. This picture is of Villa Americo by Andrea Palladio.
Boroque Architecture used curved and dramatically twisted shapes in as varied contexts as rooms, columns, and staircases. A good example of this is St. Peters Basilica in Rome.
Modern Architecture uses rectilinear geometry that utilizes the use of the Cartersian Coordinate system which makes the design and drafting of a buildings layout much easier, geomtry wise. The Schroder House by Gerrit Bietveld is a good example of design that uses geometry on the Cartesian plane.