Lectures related to Geometric Transformations: Symmetries and Inversion

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

Introduces rotoréflexion, a transformation involving reflections and rotations, with practical geometric applications.

Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.

Explores equations and properties of circles in the complex plane.

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

Explores affinity in geometry, segment construction, ellipses, and circle projections.

Explores inversion, orthogonal circles, unique projective, and non-constructible figures in geometry.