Conic Sections: Reduction and Symmetry

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Explores the limitation to 5 faces of regular polyhedra and the construction of summit pyramids.

Covers the concepts of mixed product, cross product, homo coordinates, and general conics.

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

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Explores the concept of symmetry in parallelograms and the properties of their diagonals.

Explores affinity in geometry, segment construction, ellipses, and circle projections.

Covers the preservation of isometry by rotations and symmetries.

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

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