Lectures related to Regular Polyhedra in Euclidean Geometry

Geometry: Introduction to Architectural Geometry

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

Geometry: Euclidean Elements & Vitruvius

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

Euclidean Elements: Construction of Regular Polyhedra

Explores Euclid's construction of regular polyhedra inscribed in a hemisphere.

Regular Polyhedra: Symmetries & Generation

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

Regular Polyhedra: Definitions and Symmetries

Explores the definitions and symmetries of regular polyhedra, shedding light on ancient geometry and modern mathematical formalization.

Geometric Proportions: Euclidean Elements

Explores geometric proportions, commensurability, and triangle construction in Euclidean geometry.

Euclidean Geometry: Operations and Constructions

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.

Introduction to Non-Euclidean Geometry

Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.

Geometry: Exam Review and Future Topics

Discusses exam results, upcoming exam focus, and transition to advanced geometry concepts.

Geometry: Introduction to Euclidean Elements

Explores the historical evolution of geometric instruments and the transition to modern CAD software for architectural design.

Introduction to Euclidean Elements

Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.

Introduction to Euclidean Elements

Introduces the fundamental concepts of Euclidean geometry and the Elements of Euclid, exploring historical background, key propositions, and postulates.

Geometry: Course Overview & 5 Regular Polyhedra

Explores geometry basics, 5 regular polyhedra construction, and their link to ancient physics and planets.

Euclidean Geometry Fundamentals

Introduces the fundamentals of Euclidean geometry, covering equilateral triangles, symmetries, radical axes, and ancient architectural figures.

Surfaces in Geometry II

Explores geometric surfaces, rules between shapes, and architectural applications.

Introduction to Euclidean Elements

Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.

Introduction to Euclidean Geometry

Introduces the fundamental concepts of Euclidean geometry, exploring postulates, parallel lines, and non-Euclidean geometries.

Polygons & Polyhedra: Regular & Starred

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

Regular Polyhedra: Definitions and Symmetries

Explores the definitions and symmetries of regular polyhedra, focusing on the five known convex regular polyhedra from ancient times.

Geometry and Complex Numbers: Circles in the Complex Plane

Explores equations and properties of circles in the complex plane.