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Lecture
Symmetries of Regular Polyhedra
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Regular Polyhedra: Definitions and Symmetries
Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.
Regular Polyhedra: Definitions and Symmetries
Explores the definitions and symmetries of regular polyhedra, shedding light on ancient geometry and modern mathematical formalization.
Regular Polyhedra: Symmetries & Generation
Explores the properties of regular polyhedra, their symmetries, generation, and historical misconceptions.
Symmetry in Geometry
Explores symmetry in modern geometry, emphasizing reflections, rotations, and practical applications in computer-aided design.
Regular Polyhedra in Euclidean Geometry
Explores the historical background and properties of regular polyhedra in Euclidean geometry, including the construction of perfect even numbers and the proportionality of arcs and angles.
Symmetry in the Plane
Explores the modern definition of symmetry and its practical applications.
Symmetry in Modern Space
Explores the classification and practical applications of symmetries in 3D space, emphasizing user-driven determination of object symmetries.
Limitation to 5 Polyhedra
Explores the limitation to 5 faces of regular polyhedra and the construction of summit pyramids.
Power of a Point in Geometry
Explores the power of a point outside a circle and its practical applications.
Geometry: Euclidean Elements & Vitruvius
Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.