Introduction de la ROTORÉFLEXION

This lecture covers the concept of rotoréflexion, which is the normalization of the general case of a reflection with respect to 3 arbitrary planes. The lecture explains how the reflections relative to 2 orthogonal planes define a rotation of double the angle formed by the initial planes. It also demonstrates how rotoréflexions can generate the lower face of an antiprism from its upper face. The lecture further explores the composition of a rotation and a reflection, known as a rotoréflexion, and the necessary conditions for this transformation. Additionally, it delves into the construction of the line and plane of greatest slope relative to an axis, providing geometric insights and practical applications.