Isometries: Definition and Examples

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

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

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

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

Covers the preservation of isometry by rotations and symmetries.

Explores isometries in space, transformations preserving lengths and angles, including reflections, rotations, and translations.

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

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

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

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