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Concept

Polygon

Related lectures (27)

Topology of Riemann Surfaces

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.

Polygons & Polyhedra: Regular & Starred

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

Self-Avoiding Random Walks

Explores self-avoiding random walks and their mathematical models, emphasizing the importance of paths that are self-avoiding.

Discrete Variables: Geometric Properties

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

Automatic Vectorization Techniques MOOC: Geographical Information Systems 1

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

Automatic Vectorization: Summary MOOC: Geographical Information Systems 1

The lecture discusses the main types of automatic vectorization techniques.

Timber Plate Structural Design MOOC: Advanced Timber Plate Structural Design

Covers the CAD-to-CAE data transformation process for advanced timber plate structural design.

Automatic Vectorization: Principles and Applications MOOC: Geographical Information Systems 1

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

Regular Pentagon Construction

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

Automatic Vectorization MOOC: Geographical Information Systems 1

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

Symmetries in Plane Geometry

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

Regular Polyhedra: Definitions and Symmetries

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

Image Processing

Covers a generic framework for historical document processing using TensorFlow and Python3.

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.

Discrete variables: Geometric properties MOOC: Geographical Information Systems 2

Covers geometric properties of discrete variables in GIS, including location, size, and shape.

Units: Length and Angles MOOC: Elements of Geomatics

Explains the fundamental units in geomatics, including the meter and degrees.

Constructibility of Regular Polygons

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

Arc Length Approximation Log in to Mediaspace to watch this video

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

Regular Polyhedra: Definitions and Symmetries Log in to Mediaspace to watch this video

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