Mathematics, in particular geometry

Mathematics, in particular geometry, always played a major role in architecture. In early
civilizations the tombs of leaders had shapes derived from a prism with a square base or half
sphere. A real sophistication of geometric forms in architecture can be found in ancient Chinese,
Indian or Greek architecture. Let us start our journey from Byzantine Constantinople and an
example of mathematically sophisticated architecture. Byzantine Constantinople was for many
centuries a capital of the Roman Empire1, i.e. a significant place in Western civilization. Some
temples build at this period of time in Constantinople achieved level of geometric complexity not
known before. Let us examine one such example.