Polyhedra

Star polyhedron

In geometry, a star polyhedron is a polyhedron which has some repetitive quality of nonconvexity giving it a star-like visual quality. There are two general kinds of star polyhedron: * Polyhedra which self-intersect in a repetitive way. * Concave polyhedra of a particular kind which alternate convex and concave or saddle vertices in a repetitive way. Mathematically these figures are examples of star domains. Mathematical studies of star polyhedra are usually concerned with regular, uniform polyhedra, or the duals of the uniform polyhedra. All these stars are of the self-intersecting kind. (Wikipedia).

Star polyhedron
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Foldable Polyhedron 2

Delta-Star is a polyhedral object which I invented in 1996. The type of Delta-Star corresponds to Deltahedrons. It expands and shrinks.

From playlist Handmade geometric toys

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Foldable Polyhedron 1

Delta-Star is a polyhedral object which I invented in 1996. The type of Delta-Star corresponds to Deltahedrons. It expands and shrinks. Especially highly symmetric tetrahedron,octahedron,icosahedron types and hexahedron,decahedron types can transform smoothly.

From playlist Handmade geometric toys

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Sketch a net from a 3D figure

👉 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

👉 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

👉 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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Lecture 15: General & Edge Unfolding

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 begins with describing polyhedron unfolding for convex and nonconvex polygons. Algorithms for shortest path solutions

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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What are four types of polygons

👉 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 figure from a net

👉 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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Live CEOing Ep 173: Geometry in Wolfram Language

Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Geometry in the Wolfram Language.

From playlist Behind the Scenes in Real-Life Software Design

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Class 15: General & Edge Unfolding

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 begins with defining handles and holes, and the Gauss-Bonnet Theorem applied to convex polyhedra. Algorithms for zipper

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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Savant Mélange : Claire Voisin - La notion de groupe : de la géométrie à l'algèbre

Spécialiste de géométrie algébrique, Claire Voisin parle de la notion de groupe, entre l'algèbre et la géométrie.

From playlist Savant MĂ©lange

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

👉 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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Lecture 6 | Convex Optimization II (Stanford)

Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd lectures on the localization and cutting-plane methods and then moves into the Analytic center cutting-plane methods. This course introduces topics su

From playlist Lecture Collection | Convex Optimization

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Interactivity: Building and App in 60 Seconds

With the Wolfram Language and Mathematica, you really can build a useful, interactive app for exploring ideas in just 60 seconds. Starting with the 60-second app, this talk covers the ins and outs of the Wolfram Language function Manipulate, the key to instantly interactive interfaces. You

From playlist Geek Out with Wolfram Virtual Workshop 2014

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Live CEOing Ep 186: Polyhedra in Wolfram Language

Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Polyhedra in the Wolfram Language.

From playlist Behind the Scenes in Real-Life Software Design

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Lecture 5 | Convex Optimization II (Stanford)

Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd introduces stochastic programing and the localization and cutting-plane methods. This course introduces topics such as subgradient, cutting-plane, and

From playlist Lecture Collection | Convex Optimization

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What is the difference between a regular and irregular polygon

👉 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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I. Pasquinelli - Deligne-Mostow lattices and cone metrics on the sphere

Finding lattices in PU(n,1) has been one of the major challenges of the last decades. One way of constructing a lattice is to give a fundamental domain for its action on the complex hyperbolic space. One approach, successful for some lattices, consists of seeing the complex hyperbolic spa

From playlist Ecole d'été 2018 - Teichmüller dynamics, mapping class groups and applications

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What is the difference between convex and concave polygons

👉 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

Related pages

Hexagon | Polytope | Great grand stellated 120-cell | Star domain | Face (geometry) | Platonic solid | Vertex figure | John Horton Conway | Uniform star polyhedron | List of uniform polyhedra | Regular polyhedron | Schläfli symbol | Pentagrammic prism | Quadrilateral | Isosceles triangle | Star polygon | Polyhedron | Stellation | Great dodecicosahedron | Regular Polytopes (book) | Great dodecicosacron | Uniform polyhedron | List of uniform polyhedra by Schwarz triangle | List of regular polytopes and compounds | Prismatic uniform polyhedron | Geometry | Regular polygon | Dual polyhedron | Pentagram