Composition of Plane Reflections & Isometries in Space

Related lectures (28)

Page 2 of 3

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

Explores the standard form of isometries in R^n and the preservation of distances.

Explores the modern definition of symmetry and its practical applications.

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

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

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

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

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

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

Explores the configurations of 3 plans in space and the decomposition of isometries.