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

Explores fundamental theorems and practical applications of modern symmetry theory, including decorative motifs and linear pattern extensions.

Explores the dynamical consequences of symmetry, emphasizing conservation laws and the role of Noether currents.

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

Covers the analysis of beam elements and the importance of minimizing unnecessary precision and cost in calculations.

Explores inverse monotonicity in numerical methods for differential equations, emphasizing stability and convergence criteria.

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

Explores the concept of symmetry in various geometric transformations.