Lectures related to Symmetry in Modern Space

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

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

Explores symmetry in materials science, covering crystal elements, symmetry groups, crystal classes, and Bravais lattice system.

Explores the normalization of the product of 4 plane reflections in space.

Explores Analytical Geometry, emphasizing reflection and symmetry in matrices and planes.

Introduces a new online format for the geometry course, emphasizing the study of isometries and the modern interpretation of symmetry.

Explores the configurations and transformations of three planes in space.

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