Introduction de la ROTORÉFLEXION

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Explores symmetry in modern geometry, focusing on isometries, reflections, rotations, and translations, emphasizing the importance of 180-degree rotations.

Isometries & Orientation: Modern Symmetry

Explores isometries, reflections, rotations, and translations in space, as well as the structure theorem and configurations of planes and lines.

Rotations: Isometries and Axes

Explores rotations as isometries composed of reflections with common axes and the flexibility in choosing rotation axes.

Geometric Transformations in R2 and R3: Visualizations and Rotations

Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.

Product of 4 Plane Reflections: Normalization

Explores the normalization of the product of 4 plane reflections in space.

Analytical Geometry: Rotation and Center

Explores rotation in analytical geometry, including center coordinates and fixed points.

Geometric Rotations in 2D

Covers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.

3 Reflection Planes Normalization

Explores the normalization of three reflection planes in geometry through rotor-reflections and glided reflections.

Rotations (2D): Definitions and Analytical Expressions

Covers the concept of 2D rotations and their analytical expressions.

Geometric Transformations in R2 and R3

Explores geometric transformations in R2 and R3, including reflections, rotations, and practical applications like billiards.