Concept

Star polygon

Related lectures (28)

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

Polygonal Lines: Definitions and Examples

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

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

Discrete Variables: Geometric Properties

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

Arc Length Approximation

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

Regular Polyhedra: Definitions and Symmetries

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

Symmetries in Plane Geometry

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

Regular Pentagon Construction

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

Basis Sets I

Explores the solution of the Schrödinger equation for many-electron systems using basis sets and the concept of basis functions.

Configuration Interaction II: Correlation Energy and CSF's

Explores the calculation of correlation energy and CSF's in electronic structure calculations.

Automatic Vectorization Techniques

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

Automatic Vectorization: Summary

The lecture discusses the main types of automatic vectorization techniques.

Hartree-Fock: Roothan Equations

Covers the Hartree-Fock Roothaan Equations and different types of Hartree-Fock methods, discussing their performance.

Division in Extreme and Mean Ratio: DEMR

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

Automatic Vectorization: Principles and Applications

Covers the potential and limits of automatic vectorization techniques for digitizing objects from scanned documents or images.

Automatic Vectorization

Covers automatic vectorization in geographic information systems, including structure detection, polygonization, and automatic tracing.

Image Processing

Covers a generic framework for historical document processing using TensorFlow and Python3.

Regular Polyhedra: Definitions and Symmetries

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

Constructibility of Regular Polygons

Explores the constructibility of regular polygons, Fermat numbers, historical conjectures, and the compass's fundamental role in geometric constructions.

Quadrature & Rectification

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