Lectures related to Geometric Transformations in the Plane: Orientation

Explores the transformation of vectors and tensors, including rotations and representations in quantum physics.

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

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

Covers the composition of geometric transformations in 2D, focusing on rotations and reflections to achieve specific results.

Explores the synthesis of plane isometries and their composition through axial reflections, rotations, translations, and glided reflections.

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

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

Covers the preservation of isometry by rotations and symmetries.

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

Covers angular momentum in rotations, including preservation of angles and vector products.

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

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

Covers rotation matrices and transformations in mathematics, providing examples of rotating vectors in different dimensions.

Covers the transformation of vectors and tensors in quantum physics.

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

Explores the scalar product, vector lengths, angles, norms, and rotations in 2D and 3D spaces.

Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

Analyzes angular speed of rotation, internal forces, vectors, and system transformation in a solid.

Delves into modern geometry, covering transformations, isometries, and symmetries.