Geometric graphs | Graph families | Mathematics of rigidity

Laman graph

In graph theory, the Laman graphs are a family of sparse graphs describing the minimally rigid systems of rods and joints in the plane. Formally, a Laman graph is a graph on n vertices such that, for all k, every k-vertex subgraph has at most 2k − 3 edges, and such that the whole graph has exactly 2n − 3 edges. Laman graphs are named after Gerard Laman, of the University of Amsterdam, who in 1970 used them to characterize rigid planar structures.This characterization, however, had already been discovered in 1927 by Hilda Geiringer. (Wikipedia).

Laman graph
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Class 11: Generic Rigidity

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 covers how the pebble algorithm works with first a proof of the 2k property, and then 2k-3. Generic rigidity and the ru

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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Lecture 11: Rigidity Theory

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 a review of linkages and classifying graphs as generically rigid or flexible. Conditions for minimally ge

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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Summary for graph an equation in Standard form

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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Class 13: Locked Linkages

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 reviews Carpenter's Rule and properties of pseudotriangulation. Various proofs are presented, which cover topics includ

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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How to graph a linear equation in Standard form

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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How do you graph an equation using the intercept method

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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What is the parent function of a linear graph

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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What is a linear equation

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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Learning how to graph and determine characteristics of a quadratic using vertex formula

👉 Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a quadratic is a parabola which has an axis of symmetry, to p

From playlist Graph a Quadratic in Standard Form | ax^2+bx+c

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Tim Laman & Ed Scholes: Birds of Paradise | Nat Geo Live

In collaboration with the Cornell Lab of Ornithology, photographer Tim Laman and Cornell University ornithologist Ed Scholes spend countless hours high in the treetops to record the secret lives, bizarre displays, and dazzling courtship antics of these stunning birds. ➡ Subscribe: http://b

From playlist National Geographic Live!: Season 4

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A Rare Look at the Secret Life of Orangutans | Short Film Showcase

In the vanishing lowland rainforests of Borneo, new research is underway to uncover and understand the unique cultural behaviors in wild orangutans. ➡ Subscribe: http://bit.ly/NatGeoSubscribe ➡ Get More Short Film Showcase: http://bit.ly/ShortFilmShowcase About Short Film Showcase: The S

From playlist Nature & Environment | National Geographic

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Graphing a quadratic by using a table and the axis of symmetry

👉 Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a quadratic is a parabola which has an axis of symmetry, to p

From playlist Graph a Quadratic in Standard Form | x^2+bx+c

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Watch Orangutans Build Umbrellas, "Kiss-Squeak," and More | National Geographic

Orangutans are native to Borneo and Sumatra and must learn a variety of skills as they grow up. In this video, you'll see seven behaviors that researchers have observed in the wild: from pushing over dead trees to make noise as part of a dominance display, to building umbrellas to shelter

From playlist News | National Geographic

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Life at the Limits

Learn about some of the incredible organisms on our planet that have extraordinary ways of going about their daily business in an exhibition "Life at the Limits: Stories of Amazing Species", which was open to the public from April 4, 2015, to January 3, 2016. Visit the Museum's exhibition

From playlist Past Exhibits

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Inside the Mission to Save the Rare Helmeted Hornbill From Poachers | National Geographic

What does it take to photograph the helmeted hornbill? Patience. National Geographic photographer Tim Laman teamed up with Rangkong Indonesia and spent months in the field just to get a glimpse of the extremely rare bird. The helmeted hornbill is one of 57 hornbill species in Africa and As

From playlist News | National Geographic

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What do I need to know to graph an equation in standard form

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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What is everything you need to know to graph an equation in slope intercept form

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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Proof: The Photographers on Photography | National Geographic

Who are National Geographic photographers? To honor 125 years of photography, we turn the (video) camera on our colleagues and get to know the people behind some of the most celebrated photographs in the world. ➡ Subscribe: http://bit.ly/NatGeoSubscribe About National Geographic: National

From playlist The Photographer Interviews | National Geographic

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What are parallel lines

👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu

From playlist ⚡️Graph Linear Equations | Learn About

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