# Project Origami: Activities for Exploring Mathematics

@inproceedings{Hull2006ProjectOA, title={Project Origami: Activities for Exploring Mathematics}, author={Thomas C. Hull}, year={2006} }

The art and technique of origami provides a surprising range of tools for explaining complicated mathematical concepts. Based on years of experience, the author has created an entertaining workbook that can be used in a variety of mathematics classes to visualize the solutions to mathematical problems. Using origami, learn about: dividing a length into equal nths: (Fujimoto Approximation); solving cubic equations; bucky balls and phizz units; impossible crease patterns; Gaussian curvature… Expand

#### 96 Citations

Origami as a Tool for Exploring Properties of Platonic Solids

- Mathematics
- 2016

This workshop will elaborate how to introduce students (upper elementary and high school students, age 14-18) to Platonic solids and their properties through origami activities. Some of the important… Expand

Form and art of closed crease origami

- Computer Science
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We show some origami models appeared for the first time as student projects in Bauhaus around 1930. The same models are studied today by mathematicians and structural engineers for its geometric and… Expand

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- 2017

ABSTRACT The purpose of this paper is to describe the mathematics that emanates from the construction of an origami box. We first construct a simple origami box from a rectangular sheet and then… Expand

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The purpose of this paper is to describe the mathematics that emanates from the construction of an origami box. The design of this box was inspired by the design of a traditional origami masu box. We… Expand

Mathematical thinking and origami

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- 2016

The purpose of this paper is to describe the mathematics that emanates from the construction of an origami box. We first construct a simple origami box from a rectangular sheet and then discuss some… Expand

A Method for Designing Crease Patterns for Flat-Foldable Origami with Numerical Optimization

- Engineering
- 2011

Origami is the art and science of making various shapes by simply folding a sheet of paper. When origami is studied as a geometrical problem, it is often assumed that the origami is folded flat. This… Expand

Mathematical art and artistic mathematics

- 2020

ABSTRACT The purpose of this note is to describe the mathematics that emanates from the construction of an origami box. We first construct a simple origami box from two rectangular sheets and then… Expand

Kinematics of Origami Structures with Creased Folds

- Computer Science
- 2019

This chapter presents a kinematic model for origami based on the following assumptions: folds are straight creases, planar faces bounded by the folds and the sheet boundary are rigid, and these faces do not stretch or bend. Expand

Introduction to Active Origami Structures

- Engineering
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Origami, the ancient art of paper folding, has inspired the design and functionality of engineering structures for decades. The underlying principles of origami are very general, it takes… Expand

RIGID ORIGAMI VERTICES : CONDITIONS AND FORCING

- 2016

We develop an intrinsic necessary and sufficient condition for single-vertex origami crease patterns to be able to fold rigidly. We classify such patterns in the case where the creases are… Expand

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