Symmetry in Modern Geometry

Related lectures (28)

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Explores transformations and isometries in geometry, preserving properties through translations, rotations, and reflections.

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

Explores symmetries in plane geometry, including isometries, reflections, and practical applications in design.

Introduces a new online format for the geometry course, emphasizing the study of isometries and the modern interpretation of symmetry.

Explores rotations as isometries composed of reflections with common axes and the flexibility in choosing rotation axes.

Explores reflection and rotation composition in analytical geometry, including finding centers and solving fixed point systems.

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

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Discusses isometries and orthonormal bases in mathematics.

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