Symmetry in Space: Rotororeflections

This lecture explores the concept of rotororeflections, which are transformations resulting from the composition of three plane reflections in space. It covers the normalization of the product of three reflections into a rotororeflection, the determination of four equivalent planes in a rotororeflection, and the creation of mirrored pieces. The lecture also delves into practical applications in computer-aided design, revolution symmetries, and equivalent displacements. The instructor demonstrates the commutation of orthogonal plans and the fundamental theorem of isometries in space. The lecture concludes with an overview of the 10 isometries in space and an artistic interlude on the Contrapposto posture in art.