Geometric Transformations in the Plane: Orientation

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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.