Geometry: Modern Interpretation of Symmetry

This lecture introduces a new online format for the geometry course, aiming to maintain the structure of in-person classes. The instructor emphasizes the importance of staying on track with the syllabus, addressing concerns about student participation in practice exams. The lecture delves into the study of isometries, focusing on transformations that preserve properties like measurements and angles. It explores the modern concept of symmetry, highlighting its cultural significance in architecture and mathematics. The content covers the generation of isometries from basic building blocks, such as axial reflections, and the configurations of multiple reflections. By the end, students will have a solid understanding of isometries in the plane and their applications in decorative culture.