Paper folding | Recreational mathematics

Maekawa's theorem

Maekawa's theorem is a theorem in the mathematics of paper folding named after Jun Maekawa. It relates to flat-foldable origami crease patterns and states that at every vertex, the numbers of valley and mountain folds always differ by two in either direction. The same result was also discovered by Jacques Justin and, even earlier, by S. Murata. (Wikipedia).

Maekawa's theorem
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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

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Bayes' Theorem - The Simplest Case

►Second Bayes' Theorem example: https://www.youtube.com/watch?v=k6Dw0on6NtM ►Third Bayes' Theorem example: https://www.youtube.com/watch?v=HaYbxQC61pw ►FULL Discrete Math Playlist: https://www.youtube.com/watch?v=rdXw7Ps9vxc&list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS Bayes' Theorem is an inc

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

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Calculus - The Fundamental Theorem, Part 1

The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.

From playlist Calculus - The Fundamental Theorem of Calculus

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Class 10: Kempe's Universality 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 class presents open problems involving holes, sliding linkages, and generalizations of Kempe. A proof for the semi-algebraic

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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Jacob Lurie: 1/5 Tamagawa numbers in the function field case [2019]

Slides for this talk: http://swc-alpha.math.arizona.edu/video/2019/2019LurieLecture1Slides.pdf Lecture notes: http://swc.math.arizona.edu/aws/2019/2019LurieNotes.pdf Let G be a semisimple algebraic group defined over the field Q of rational numbers and let G(Q) denote the group of ration

From playlist Number Theory

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The Fundamental Theorem of Calculus - Example & Proof

Fully animated explanation of proving the fundamental theorem of calculus and explaining the idea with an example.

From playlist Further Calculus - MAM Unit 3

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Commando: On The Front Line | Episode 4 (Military Training Documentary) | Real Stories

Join acclaimed documentary maker Chris Terrill (The Cruise) as he follows a group of young commandos moving from civilian life to the front line of war. With unprecedented access to both the training and battle grounds, cameras capture the exhilaration, intensity and fear of Troop 924 of t

From playlist Commando: On The Front Line : Season 1

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Calculus: The Fundamental Theorem of Calculus

This is the second of two videos discussing Section 5.3 from Briggs/Cochran Calculus. In this section, I discuss both parts of the Fundamental Theorem of Calculus. I briefly discuss why the theorem is true, and work through several examples applying the theorem.

From playlist Calculus

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What is the max and min of a horizontal line on a closed interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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Mohan Ramachandran

https://www.math.ias.edu/files/media/agenda.pdf More videos on http://video.ias.edu

From playlist Mathematics

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Determine the extrema of a function on a closed interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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Fundamentals of Mathematics - Lecture 26: Well-Definedness

course page: https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html videography - Eric Melton, UVM

From playlist Fundamentals of Mathematics

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0054 - C++ Programming: TLS adapter/decorator

This is #54 in my series of live (Twitch) coding streams, working on writing my own web server and service framework in C++. This stream I started taking the TLS decorator I made in the previous stream and moving it to its own library, cleaning it up, and making it more generic, so it can

From playlist Excalibur

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Calculus 1 (Stewart) Ep 22, Mean Value Theorem (Oct 28, 2021)

This is a recording of a live class for Math 1171, Calculus 1, an undergraduate course for math majors (and others) at Fairfield University, Fall 2021. The textbook is Stewart. PDF of the written notes, and a list of all episodes is at the class website. Class website: http://cstaecker.f

From playlist Math 1171 (Calculus 1) Fall 2021

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Equidistribution of Unipotent Random Walks on Homogeneous spaces by Emmanuel Breuillard

PROGRAM : ERGODIC THEORY AND DYNAMICAL SYSTEMS (HYBRID) ORGANIZERS : C. S. Aravinda (TIFR-CAM, Bengaluru), Anish Ghosh (TIFR, Mumbai) and Riddhi Shah (JNU, New Delhi) DATE : 05 December 2022 to 16 December 2022 VENUE : Ramanujan Lecture Hall and Online The programme will have an emphasis

From playlist Ergodic Theory and Dynamical Systems 2022

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What is Green's theorem? Chris Tisdell UNSW

This lecture discusses Green's theorem in the plane. Green's theorem not only gives a relationship between double integrals and line integrals, but it also gives a relationship between "curl" and "circulation". In addition, Gauss' divergence theorem in the plane is also discussed, whic

From playlist Vector Calculus @ UNSW Sydney. Dr Chris Tisdell

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Real Analysis Ep 32: The Mean Value Theorem

Episode 32 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is more about the mean value theorem and related ideas. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker

From playlist Math 3371 (Real analysis) Fall 2020

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Pythagorean theorem - What is it?

► My Geometry course: https://www.kristakingmath.com/geometry-course Pythagorean theorem is super important in math. You will probably learn about it for the first time in Algebra, but you will literally use it in Algebra, Geometry, Trigonometry, Precalculus, Calculus, and beyond! That’s

From playlist Geometry

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How to determine the max and min of a sine on a closed interval

👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points

From playlist Extreme Value Theorem of Functions

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Wolfram Physics Project: Working Session Sept. 15, 2020 [Physicalization of Metamathematics]

This is a Wolfram Physics Project working session on metamathematics and its physicalization in the Wolfram Model. Begins at 10:15 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the

From playlist Wolfram Physics Project Livestream Archive

Related pages

Even number | Dual graph | Origami | Kawasaki's theorem | Bipartite graph | Vertex (geometry) | Mathematics of paper folding | Theorem | Graph coloring | Crease pattern