Coxeter Groups: Root System Classification and Fundamental Regions

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Explores Coxeter groups, reflections, fundamental regions, and classification by Coxeter graphs.

Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.

Reviews Coxeter groups, reflections, rotations, and fundamental regions in finite orthogonal transformations.

Explores projections on lines and symmetries in 2D space, emphasizing fixed points and symmetric matrices.

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

Explores the modern definition of symmetry and its practical applications.

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

Covers the concept of distance in the plane, distance axioms, triangle construction, and triangle side properties.

Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.

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