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Related lectures (24)

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Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

Geometric Transformations in R2 and R3

Explores geometric transformations in R2 and R3, including reflections, rotations, and practical applications like billiards.

Symmetry in Chemistry

Explores symmetry in chemistry, covering reflection planes, dihedral groups, cubic groups, and geometric shapes.

Special Cases of 3 Plane Reflections

Explores the configurations and transformations of three planes in space.

Symmetry in Modern Space

Explores the classification and practical applications of symmetries in 3D space, emphasizing user-driven determination of object symmetries.

Symmetry in Modern Geometry

Covers symmetry in modern geometry, reflections, translations, rotations, compositions of isometries, fundamental theorems, configurations of lines and planes, and surface analysis.

Product of 4 Plane Reflections: Normalization

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

Dihedral Group: Symmetries and Cosets

Explores the symmetries of a regular n-gon, normal subgroups, cosets, and Lagrange's theorem.

Glide Reflection in Analytical Geometry

Explores glide reflection in analytical geometry, emphasizing fixed points and reflection matrices.

Coxeter Groups: Reflections and Fundamental Regions

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