Constructibility of Regular Polygons

Related lectures (26)

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Explores Division in Extreme and Mean Ratio (DEMR) for geometric constructions and its historical significance in art and architecture.

Explores the historical problems of quadrature, pi approximation, angle trisection, and the use of conchoid in architecture.

Explores symmetries in plane geometry, including isometries, reflections, and practical applications in design.

Explores the construction of a regular pentagon using Euclid's method and discusses historical constructions by Euclid and Ptolemy.

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

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

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

Explores square roots in quadratic equations, complex numbers, Fermat prime numbers, and the Gauss-Wantzel theorem.

Covers the Gauss-Wantzel Theorem and Fermat prime numbers.

Explores modern symmetry in geometry, covering transformations, isometries, orientations, and practical applications.