Lecture

Symmetry in 3D Geometry

Related lectures (31)

Explores the concept of symmetry in various geometric transformations.

Covers circle orthogonal and Poincaré disk concepts in geometry.

Delves into topology, homomorphism, and their practical implications on CAD software.

Explores fundamental theorems and practical applications of modern symmetry theory, including decorative motifs and linear pattern extensions.

Explores the power of a point outside a circle and its practical applications.

Explores inversion, orthogonal circles, unique projective, and non-constructible figures in geometry.

Delves into quantum mechanical rotations, discussing SU(2), SO(3), group representations, and topological properties.

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

Covers the role of symmetries and groups in quantum mechanics, focusing on SU2 and SU3, their properties, and implications for physical theories.

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Covers exercises on attaching 1-cells to intervals in topology.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Covers cell attachment, homotopy, mappings, and universal properties in topology.

Covers course notes on topology, discussing Stasheff Mérida, cost-savings, and representative points.

Covers polygonal performance, homomorphisms, and the Klein bottle in topology.

Covers homotopy, quotient spaces, and the universal property in topology.

Explores compactness, continuity, and quotient spaces in topology, emphasizing the topology of lines in R² and the properties of compact sets.

Covers the concept of homeomorphisms in topology, focusing on functions that preserve topological properties.

Covers open and faded subspaces in topology with examples and exercises.