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This lecture covers the definitions and characteristics of polygons and polyhedra, focusing on regular and starred configurations. It explains the distinction between convex, concave, and crossed polygons, as well as the properties of regular polyhedra. The presentation delves into the historical context, including the work of Euclid and later mathematicians like Kepler and Poinsot. It also introduces the concept of starred polyhedra, discovered in the Renaissance. The lecture concludes by discussing the limitations of Euclidean geometry and the transition to more advanced geometric methods.