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This lecture covers the classification of symmetries in 3D space, including reflections relative to a single plane and reflections relative to an infinite number of intersecting planes. It also discusses the determination of useful symmetries in CAD software, the creation of mirror pieces, and equivalent displacements. The instructor emphasizes the importance of users determining the symmetries of objects, as CAD software cannot do this efficiently. The lecture delves into the complexities of determining symmetries in 3D objects and the practical applications of symmetries in CAD. It concludes with a detailed explanation of the modern definition of symmetry in space.
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