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Lecture
Regular Polyhedra: Definitions and Symmetries
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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.
Symmetries of Regular Polyhedra
Explores the historical background and significance of symmetries in regular polyhedra, shedding new light on Euclid's Elements.
Geometry: Euclidean Elements & Vitruvius
Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.
Elementary Operations in Geometry
Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.
Polygons & Polyhedra: Regular & Starred
Explores polygons, polyhedra, regularity, and starred configurations in Euclidean geometry, highlighting historical context and limitations.
Platonic Solids: Misinterpretations and Correspondences
Explores misinterpretations of Platonic solids and their correspondence with elements, emphasizing the importance of rigor in mathematical integration into architectural culture.
Regular Pentagon Construction
Explores the construction of a regular pentagon using Euclid's method and discusses historical constructions by Euclid and Ptolemy.
Symmetry in Modern Geometry
Delves into modern geometry, covering transformations, isometries, and symmetries.
Gothic Surfaces: Curvature, Development, and Stereotomy
Delves into the geometric principles of Gothic architecture, focusing on surface curvature and stereotomy techniques.