Convex geometry | Types of polygons

Convex polygon

In geometry, a convex polygon is a polygon that is the boundary of a convex set. This means that the line segment between two points of the polygon is contained in the union of the interior and the boundary of the polygon. In particular, it is a simple polygon (not self-intersecting). Equivalently, a polygon is convex if every line that does not contain any edge intersects the polygon in at most two points. A strictly convex polygon is a convex polygon such that no line contains two of its edges. In a convex polygon, all interior angles are less than or equal to 180 degrees, while in a strictly convex polygon all interior angles are strictly less than 180 degrees. (Wikipedia).

Convex polygon
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What are convex polygons

๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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What is the difference between convex and concave polygons

๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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What is the difference between convex and concave

๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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Sketch a net from a 3D figure

๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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What is a concave polygon

๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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What is the difference between a regular and irregular polygon

๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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What are the names of different types of polygons based on the number of sides

๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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What are four types of polygons

๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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Ever wanted to make a concave polygon convex? We present to you the Erdล‘s-Szล‘kefalvi-Nagy theorem: Any simple concave polygon can be made convex after a finite number of flips. This video was made for the Summer of Math Exposition 2022. Do you want to experiment yourself? Check out our p5

From playlist Summer of Math Exposition 2 videos

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I prove the key inequalities involving sin(x), x, and tan(x) that are necessary to compute the derivative of the sine function. I show how Archimedes dealt with these inequalities in the context of comparing the circumference of a circle to the perimeters of inscribed and circumscribed po

From playlist Math

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MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This lecture addresses the mathematical approaches for solving the decision problem for folding polyhedra. A proof of Alexandrov's

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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Geometry - Basic Terminology (11 of 34) Definition of Polygons and Convex Polygons

Visit http://ilectureonline.com for more math and science lectures! In this video I will define what are polygons and convex polygons. Next video in the Basic Terminology series can be seen at: http://youtu.be/N3wvmbsaFwQ

From playlist GEOMETRY 1 - BASIC TERMINOLOGY

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TabletClass Math: https://tcmathacademy.com/ How to find the sum of the interior angles of a convex polygon. For more math help to include math lessons, practice problems and math tutorials check out my full math help program at https://tcmathacademy.com/ Math Notes: Pre-Alge

From playlist Geometry

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MIT 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra, Fall 2012 View the complete course: http://ocw.mit.edu/6-849F12 Instructor: Erik Demaine This class introduces recent research on flattening fixed-angle chains and addresses flipping of pockets in a polygon. Flaws and o

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how to identify convex and concave polygons. Convex polygon: When extending any line segment (side) it does NOT cut through any of the other sides. Concave polygon: When extending any line seg

From playlist THE "WHAT IS" PLAYLIST

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Sketch a figure from a net

๐Ÿ‘‰ Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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Hyperplane separation theorem | Convex hull | Fan triangulation | Convex curve | Line (geometry) | Boundary (topology) | Tangential polygon | Degree (angle) | Convex polytope | Line segment | Parallelogram | Simple polygon | Helly's theorem | Polygon | List of self-intersecting polygons | Mean width | Kreinโ€“Milman theorem | Geometry | Concave polygon | Triangle | Convex set | Polygon triangulation