Isometries in Space: Orientation & Reflections

Related lectures (29)

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

Covers isometries in space, reflections, rotations, axial reflections, and geometric constructions.

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

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

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

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

Explores the modern definition of symmetry and its practical applications.

Covers the concept of orientation in the plane and transformations using matrices.

Explores translations as compositions of reflections and their properties in preserving orientation, including the special case of identity.

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