We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.
from Part II - The Combinatorial Geometry of Flat Origami
Published online by Cambridge University Press: 06 October 2020
Chapter 8 covers a variety of other mathematical problems that arise from flat origami.For example, how many times can you fold a piece of paper in half?This old question has a more interesting answer, discovered by a high-school student, than is commonly known.Can any shape be folded?Origami artists want to claim that the answer to this question is, “Yes,” but how should the question be formalized mathematically?And if we really can fold anything, how do we do so?The process of origami design can be quantified, and the ways in which complex origami designers do so to, say, create an origami insect are summarized.Another origami puzzle with a surprising answer is:If a square piece of paper is folded into a flat object, what is the biggest perimeter that object can have?Finally, we summarize the theory behind, and proof of, the famous Fold-and-One-Cut Theorem.
To save this book to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.
Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.
Find out more about the Kindle Personal Document Service.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.
