Icosahedral symmetry

Formal sciences
Mathematics
Geometry
Symmetry

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Symmetry: Noether Theorem

Explores the consequences of symmetry, focusing on the Noether Theorem and coordinated charges in Lie groups.

Symmetry & Group Theory

Covers the fundamental concepts of symmetry and group theory.

Symmetries of Navier-Stokes Equations

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

Symmetry in the Plane

Explores the modern definition of symmetry and its practical applications.

Inertia Tensor: Main Axes and Principal Moments

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

Global Conservation Laws

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

Rotational Dynamics: Angular Momentum

Explains angular momentum for rotating solids and discusses symmetry in mass distribution.

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.

Symmetries and Conservations

Explores generalized momentum, cyclic variables, symmetries, and conservation principles in mechanics, including Noether's theorem and mechanical energy conservation.

Equilibrium in Tension: Verification and Compatibility

Covers the verification of equilibrium equations and compatibility in tension scenarios, ensuring uniform stress distribution.