Lectures related to Isometry | EPFL Graph Search

Discusses isometries and orthonormal bases in mathematics.

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

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

Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.

Explores conformal maps, hyperbolic geometry, and isometric properties of disks.

Explores setting up experiments, interview guides, and self-experimentation in research methods.

Explores automorphisms of graphs, focusing on automorphism groups, Cayley-Abels graphs, and quasi-isometry.

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

Explores isometries in R^2 and R^3, focusing on symmetries, rotations, and linear compositions, with a glimpse into the Banach-Tarski paradox.

Explores the properties and applications of Euclidean isometries in R^2.

Covers metric spaces, isometric embeddings, and equilateral spaces with examples and proofs.

Explains setting up experiments with compactness, isometries, and quasi-isometry.

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

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

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

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

Covers the preservation of isometry by rotations and symmetries.

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

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