Division in Extreme and Mean Ratio: DEMR

This lecture explores the concept of Division in Extreme and Mean Ratio (DEMR), introduced by Archytas and further developed by Euclide. DEMR is a geometric construction technique that involves dividing a line segment into two parts such that the ratio of the whole segment to the larger part is equal to the ratio of the larger part to the smaller part. The lecture delves into the historical evolution of DEMR, its applications in constructing regular polygons like the pentagon, and its connection to the Fibonacci sequence. It also discusses the significance of DEMR in art and architecture, highlighting its divine proportions and aesthetic implications.