Introduction to Isometries in Space

Related lectures (29)

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Explores isometries in space, transformations preserving lengths and angles, including reflections, rotations, and translations.

Covers symmetry operations in materials science, including rotations and helical axes.

Explores the symmetries of Navier-Stokes equations in periodic boxes, including translations, transformations, rotations, and scaling.

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

Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

Covers velocity, acceleration, dynamics, moments of inertia, and kinetic energy storage systems.

Explores the modern definition and practical applications of symmetry in geometry.

Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.

Explores the synthesis of plane isometries and their composition through axial reflections, rotations, translations, and glided reflections.

Explores isometries in R^2 and R^3, focusing on symmetries, rotations, and linear compositions, with a glimpse into the Banach-Tarski paradox.