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Lecture
Isometries in R^2 and R^3
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Related lectures (30)
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Introduction to Isometries in Space
Covers isometries in space, reflections, rotations, axial reflections, and geometric constructions.
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.
Symmetry Operations in Materials Science
Covers symmetry operations in materials science, including rotations and helical axes.
Symmetry in Geometry
Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.
Curves and Isometries
Explores curves, isometries, Bezier curves, and the Frenet coordinate system.
Isometries in R^n
Explores the standard form of isometries in R^n and the preservation of distances.
Symmetries in Mechanics and Wave Equations
Explores symmetries in Newtonian mechanics and wave equations, highlighting their significance in understanding physical laws.
Geometric Transformations in R2 and R3: Visualizations and Rotations
Covers visualizations in orthonormal bases in R2, focusing on rotations and reflections.
Symmetries of the Wave Equation
Explores the symmetries of the wave equation under Lorentz transformations and the Poincare group.
Rotations: Isometries and Axes
Explores rotations as isometries composed of reflections with common axes and the flexibility in choosing rotation axes.