Concept

Isometry group

Related lectures (29)

Discusses isometries and orthonormal bases in mathematics.

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

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

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

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

Explores conformal symmetries in Euclidean and AdS spaces, isometries, induced metric, Poincaré coordinates, and boundary structure.

Explores isometries, reflections, rotations, and translations in space, as well as the structure theorem and configurations of planes and lines.

Covers the examination of 10 possible isometries in space.

Examines the synthesis of isometry in space and its differences with the plane.

Covers the synthesis of isometries in space and the complexities of determining symmetries in 3D objects.

Covers the construction and justification of the mediatrice as the axis of symmetry for a segment.

Explores isometries, orientation, and dihedral angles in 3D space.

Introduces central symmetry, an isometry fixing a point and transforming other points.

Covers the preservation of isometry by rotations and symmetries.

Explores the concept of bisectrix in angles and its symmetries.

Explores the concept of symmetry in various geometric transformations.

Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.

Covers the basics of Conformal Field Theory, focusing on Large N CFTs and correlation functions.

Covers the concept of embedding space for AdS and Euclidean geometry, discussing AdS isometries and Euclidean Ads.