Concept

Point reflection

Related lectures (29)

Isometries & Orientation in Modern Geometry

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

Symmetry in Modern Geometry

Explores symmetry in modern geometry, focusing on isometries, reflections, rotations, and translations, emphasizing the importance of 180-degree rotations.

Analytical Geometry: Reflection and Symmetry

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

Reflection and Rotation Composition

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

Symmetry in the Plane

Explores the modern definition of symmetry and its practical applications.

Symmetry in Chemistry

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

Symmetry: Central Symmetry

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

Symmetry in Modern Space

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

Composition of Plane Reflections & Isometries in Space

Explores the composition of plane reflections and isometries in space, showcasing how reflections can lead to rotations and different isometries.

Point Groups and Linear Molecules

Covers the concept of point groups and their systematic classification, focusing on linear molecules.

Symmetry and Group Theory: Exercise Set 3

Covers Exercise Set 3 on Symmetry and Group Theory, focusing on chiral molecules, point groups, conjugacy, and group properties.

Symmetry and Group Theory: Exercise 5

Covers the basis for irreducible representations and characters of direct product representations.

Symmetry in Modern Space

Explores the fundamental theorem of isometries in space and the modern definition of symmetry, emphasizing the complexities of determining symmetries in 3D objects.

Geometric Transformations: Meanings and Applications

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Crystal Symmetry and Structures

Explores crystal symmetry, systems, lattices, and space groups, emphasizing solid state structures and close-packed arrangements.

Symmetry and Group Theory: Exercises 1&2

Covers the identification of symmetry elements in molecules and exercises on linear molecules and high-order axes.

Geometric Transformations: Reflections

Explores reflections in the plane with an orthonormal coordinate system and the properties of the reflection transformation.

Symmetry Operations in Molecules

Explores symmetry operations in chiral molecules and the identification of point groups.

Isometries & Orientation: Modern Symmetry

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

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.