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Symmetry in Geometry
This lecture covers the concepts of symmetry in modern geometry, focusing on the composition of reflections and rotations. It explains the unique properties of isometries and their practical applications in computer-aided design. The lecture delves into the symmetries of regular polyhedra and explores the symmetries of circles and triangles. It also discusses the group of symmetries of a circle and the concept of rotational symmetry. The presentation includes practical examples of applying isometries to objects in CAD software, highlighting the transformation of objects through reflections, rotations, and translations.