Theorems in geometry | Paper folding
The fold-and-cut theorem states that any shape with straight sides can be cut from a single (idealized) sheet of paper by folding it flat and making a single straight complete cut. Such shapes include polygons, which may be concave, shapes with holes, and collections of such shapes (i.e. the regions need not be connected). The corresponding problem that the theorem solves is known as the fold-and-cut problem, which asks what shapes can be obtained by the so-called fold-and-cut method. A particular instance of the problem, which asks how a particular shape can be obtained by the fold-and-cut method, is known as a fold-and-cut problem. (Wikipedia).
What is the difference between an open and closed point for an inequality
👉 Learn how to graph linear inequalities. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used when the linear inequality is 'excluded' (when less tha
From playlist Graph Linear Inequalities in Two Variables
Graphing an inequality when the slope is one ex 6
👉 Learn how to graph linear inequalities written in slope-intercept form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used when the linear inequal
From playlist Graph Linear Inequalities in Two Variables
Graphing a linear inequality when it is in slope intercept form
👉 Learn how to graph linear inequalities written in slope-intercept form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used when the linear inequal
From playlist Graph Linear Inequalities in Two Variables
Graphing a linear inequality using slope intercept form
👉 Learn how to graph linear inequalities written in slope-intercept form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used when the linear inequal
From playlist Graph Linear Inequalities in Two Variables
Graphing a linear inequality greater than or equal to
👉 Learn how to graph linear inequalities written in slope-intercept form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used when the linear inequal
From playlist Graph Linear Inequalities in Two Variables
Graph the linear inequality when you have slope as a fraction
👉 Learn how to graph linear inequalities written in slope-intercept form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used when the linear inequal
From playlist Graph Linear Inequalities in Two Variables
Graphing a linear inequality on a coordinate axis
👉 Learn how to graph linear inequalities written in slope-intercept form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used when the linear inequal
From playlist Graph Linear Inequalities in Two Variables
Graphing a linear inequality less than or equal to
👉 Learn how to graph linear inequalities written in slope-intercept form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used when the linear inequal
From playlist Graph Linear Inequalities in Two Variables
Ruby On Ales 2016: Fold, Paper, Scissors... by Amy Wibowo
This talk looks beyond origami as a childhood pastime and an art form and instead, explores origami as a source of many interesting mathematical problems, including one called the fold-and-cut problem. The fold and cut theorem states that it is possible, given a piece of paper and any poly
From playlist Ruby On Ales 2016
Fold and Cut Theorem - Numberphile
Lynda free trial (try the typography stuff!!): http://www.lynda.com/numberphile Katie Steckles discusses the Fold and Cut Theorem - from A to Z. More links & stuff in full description below ↓↓↓ Katie: http://www.katiesteckles.co.uk More on the topic: http://erikdemaine.org/foldcut/ Suppo
From playlist Women in Mathematics - Numberphile
The Mathematics of Clothing Design - Etienne Ghys
Public lecture
From playlist Mathematics Research Center
The Arnold conjecture via Symplectic Field Theory polyfolds -Ben Filippenko
Symplectic Dynamics/Geometry Seminar Topic: The Arnold conjecture via Symplectic Field Theory polyfolds Speaker: Ben Filippenko Affiliation: University of California, Berkeley Date: April 1, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Erik Demaine - New Ways to Fold a Cube from Paper - CoM Oct 2021
What shapes of paper can fold into a unit cube? This seemingly simple question has many interesting answers and open problems, depending on what type of folding is allowed. In particular, we’ll see a new way to fold a 3 × 3 square into a unit cube using horizontal, vertical, and diagonal c
From playlist Celebration of Mind 2021
Lecture 3: Single-Vertex Crease Patterns
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 explores the local behavior of a crease pattern and characterizing flat-foldability of single-vertex crease patterns.
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Graphing a linear inequality with a slope of negative one and dashed line
👉 Learn how to graph linear inequalities written in slope-intercept form. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used when the linear inequal
From playlist Graph Linear Inequalities in Two Variables
Lecture 19: Refolding & Smooth Folding
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 problem involving unfolding and refolding. Examples of smooth foldings and unfoldings are given, follow
From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012
Christopher Bishop: Transcendental functions with small singular sets
HYBRID EVENT Recorded during the meeting "Advancing Bridges in Complex Dynamics" the September 20, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM'
From playlist Virtual Conference
Lecture 17: Alexandrov's Theorem
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
How do you determine if a graph is shaded or dashed
👉 Learn how to graph linear inequalities. Linear inequalities are graphed the same way as linear equations, the only difference being that one side of the line that satisfies the inequality is shaded. Also broken line (dashes) is used when the linear inequality is 'excluded' (when less tha
From playlist Graph Linear Inequalities in Two Variables
Diana Davis: Billiards on regular polygons
HYBRID EVENT Recorded during the meeting "Differential Geometry, Billiards, and Geometric Optics" the October 04, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathemat
From playlist Dynamical Systems and Ordinary Differential Equations