Constructibility of Regular Polygons

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Delves into the symmetries of regular polygons, including the dihedral group and left cosets in a finite group.

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

Explores the modern definition and practical applications of symmetry in geometry.

Covers polygonal lines, polygons, separation of the plane, and triangle distances.

Explores arc length calculation for curves and polygons inscribed in circles using trigonometry and parametric equations.

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

Covers the geometric properties of discrete variables in geographic information systems, focusing on shape, location, and size indices.

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

Explores automation techniques for vectorizing objects using polygonization, edge detection, segment detection, and automatic tracing.

The lecture discusses the main types of automatic vectorization techniques.