Regular Polyhedra: Definitions and Symmetries

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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: Symmetries & Generation

Explores the properties of regular polyhedra, their symmetries, generation, and historical misconceptions.

Symmetries of Regular Polyhedra

Explores the historical background and significance of symmetries in regular polyhedra, shedding new light on Euclid's Elements.

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.

Polygons & Polyhedra: Regular & Starred

Explores polygons, polyhedra, regularity, and starred configurations in Euclidean geometry, highlighting historical context and limitations.

Geometry: Euclidean Elements & Vitruvius

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

Power of a Point in Geometry

Explores the power of a point outside a circle and its practical applications.

Approximation of Ellipses by Ovals

Explores the historical development of approximating ellipses with ovals and the challenges in machining trajectories.

Geometry: Introduction to Architectural Geometry

Explores the historical and practical applications of geometry in architecture, emphasizing key geometric principles in architectural design.

Symmetry in Geometry

Emphasizes the importance of maintaining a dedicated time for geometry in the weekly schedule.