Euclidean group

Related lectures (29)

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Explores transformations and isometries in geometry, preserving properties through translations, rotations, and reflections.

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

Explores symmetries in plane geometry, including isometries, reflections, and practical applications in design.

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

Explores isometries, group homomorphisms, linear transformations, and group generation by similarities.

Explores curves, isometries, Bezier curves, and the Frenet coordinate system.

Introduces isometries as transformations preserving distances in the plane, focusing on symmetry and geometric relationships.

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

Delves into Ward identities, symmetries, conserved currents, and conformal symmetry, exploring their implications on correlators and quantum models.