Paper folding | Origami | Mathematics and art

Mathematics of paper folding

The discipline of origami or paper folding has received a considerable amount of mathematical study. Fields of interest include a given paper model's flat-foldability (whether the model can be flattened without damaging it), and the use of paper folds to solve up-to cubic mathematical equations. Computational origami is a recent branch of computer science that is concerned with studying algorithms that solve paper-folding problems. The field of computational origami has also grown significantly since its inception in the 1990s with Robert Lang's TreeMaker algorithm to assist in the precise folding of bases. Computational origami results either address origami design or origami foldability. In origami design problems, the goal is to design an object that can be folded out of paper given a specific target configuration. In origami foldability problems, the goal is to fold something using creases of an initial configuration. Results in origami design problems have been more accessible than in origami foldability problems. (Wikipedia).

Mathematics of paper folding
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Ex: Paper Folding to Model Addition of Fractions with Unlike Denominators

This video explains how to model the addition of fractions with unlike denominators using paper folding. http://mathispower4u.com

From playlist Number Sense - Fractions

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Ex: Modeling Fraction Multiplication Using Paper Folding

This video explains how paper folding can be used to model the multiplication of two fractions. Site: http://mathispower4u.com

From playlist Multiplication and Division of Mixed Numbers

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Two Paper Folding Puzzles Solution

Here's the solution you've been waiting for... Music by Bertrand Laurence http://www.bertrandlaurence.com used with permission. Find me on FaceBook: http://www.facebook.com/pages/YouTube-TyYanns-page/130204640380067

From playlist Tricks and Math Puzzles answers

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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

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The satisfying math of folding origami - Evan Zodl

Dig into the mathematical rules and patterns of folding origami, the ancient Japanese art of paper folding. -- Origami, which literally translates to “folding paper,” is a Japanese practice dating back to at least the 17th century. In origami, a single, traditionally square sheet of pap

From playlist New TED-Ed Originals

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The protein folding revolution

Big leaps in our understanding of protein folding can open doors to new protein-based medicines and materials--designed from the ground up. Learn more: http://scim.ag/2a3mGvZ JOIN AAAS: http://scim.ag/2bxrxnH

From playlist News Features

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Matthew Gardiner: "Folding = Coding for Matter" - Solid 2014 Keynote

From the 2014 Solid Conference: Folding, the origami of nature, has emerged as a creative strategy for programming function into materials. In recent years, artists, designers, scientists and tech giants alike have embraced the concepts, aesthetics and efficiency of folding as a method to

From playlist Solid Conference 2014

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Paper Folding to the Moon (Alvin Mak)

via YouTube Capture

From playlist SUSMAC 2014

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Algebraic Fractions (2 of 2: Multiplication & Division)

More resources available at www.misterwootube.com

From playlist Further Algebraic Techniques

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Science from a Sheet of Paper - Tadashi Tokieda

By curling, folding, crumpling, sometimes tearing paper, Tadashi Tokieda will explore a variety of unexpected phenomena - from geometry and the traditional art of origami, to magic tricks and engineering of materials.

From playlist Mathematics Research Center

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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

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Rachel Quinlan - Paper for Wallpaper - CoM Oct 2021

This talk will present a case for an exploration of the wallpaper groups through the art and craft of origami. It will begin with a brief introduction to folding techniques for tessellations (and other patterns with symmetry), including some elementary moves that can be combined to produce

From playlist Celebration of Mind 2021

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Atomistically inspired origami

Oxford Mathematics Public Lectures - Richard James - Atomistically inspired origami The World population is growing at about 80 million per year. As time goes by, there is necessarily less space per person. Perhaps this is why the scientific community seems to be obsessed with folding t

From playlist Oxford Mathematics Public Lectures

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Lecture 1: Overview

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 introduces the topics covered in the course and its motivation. Examples of applications are provided, types and char

From playlist MIT 6.849 Geometric Folding Algorithms, Fall 2012

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Virtual Origami

Origami attracts the minds of people all over the world. Some are interested in its geometric aspects, and others in artistic or recreational elements, so-called traditional origami. Although both origami categories rely on a single notion of paper folding, their methodologies differ due t

From playlist Wolfram Technology Conference 2022

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Geometry - Constructions (1 of 15) How to Draw Line Segments of the Same Length

Visit http://ilectureonline.com for more math and science lectures! In this video I will demonstrate how to draw line segments of the same length. Next video in the Constructions series can be seen at: http://youtu.be/hglhedZs41Y

From playlist GEOMETRY 2 - CONSTRUCTIONS

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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

Related pages

Geometric Origami | Loss function | Congruence (geometry) | Flexagon | If and only if | Napkin folding problem | Regular paperfolding sequence | Neusis construction | Rigid origami | Miura fold | Huzita–Hatori axioms | Golden rectangle | Origami | Dragon curve | Power of two | Pierpont prime | Yoshizawa–Randlett system | Angle trisection | Doubling the cube | Lill's method | Silver rectangle | Equation | Kawasaki's theorem | Wet-folding | Mathematics | Bug Wars | Alhazen's problem | Involution (mathematics) | Developable surface | Maekawa's theorem | Cubic equation | Geometric Folding Algorithms | Computational complexity theory | Geometric Exercises in Paper Folding | Gaussian curvature | Humiaki Huzita | Map folding | Algorithmic efficiency | Crease pattern