Illustrations and instructions adapted from Think and Do Origami Noah's Ark and reprinted with permission by Think of It.
The host of Audio Origami reviews new albums in the world of Japanese Rock.
Tune in to Audio Origami Friday nights from 8 to 9 pm to hear an eclectic mix of grooves from Japan.
How DNA Origami Creates Supermaterials.
How to fold an origami crane.
Instructions on how to fold an origami crane, from Michaela Posner of La Reina High School.
Origami and 'Star Wars' inspire children's author Tom Angleberger.
Learn how to make origami designs Saturday at the Providence Children's Museum.
World's Smallest Origami Sculptures are Truly Amazing.
The Origami Master by Nathaniel Lachenmeyer.
I harbored great resentment towards origami as a child.
DNA Origami Seeds Offer Bottom-Up Methods for Molecular Self Assembly.
Ribbon-like DNA tile crystals can be self-assembled from DNA origami seeds.
The Davis Origami Group meets monthly in the Blanchard Room at the Stephens Branch Library, 315 E 14th St in Davis, to make magical items with paper.
The first " Origami " ultra-mobile PC systems are due to ship in April.
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The ﬁrst one folds ﬂat into a classic origami crane, whereas the second one cannot be folded ﬂat (unless the paper is allowed to pass through itself ), even though every vertex can be “locally” ﬂat folded.
When Can You Fold a Map?
Our model of simple folding is also closely related to “pureland origami”, a restriction introduced by Smith [24, 25].
When Can You Fold a Map?
Folding ﬂat silhouettes and wrapping polyhedral packages: New results in computational origami.
When Can You Fold a Map?
Geometric Folding Algorithms: Linkages, Origami, Polyhedra.
Unfolding Convex Polyhedra via Quasigeodesic Star Unfoldings
We now formalize these methods to deﬁne an origami pair on the plane.
Totally real origami and impossible paper folding
Deﬁnition. A subset of R2 , P , is closed under origami constructions if there exists a collection of lines, L, such that (P , L) is an origami pair.
Totally real origami and impossible paper folding
It follows that √1 + α2 is an origami number whenever α is an origami number.
Totally real origami and impossible paper folding
In fact, the sum, difference, product, and quotient of origami numbers are origami numbers.
Totally real origami and impossible paper folding
In the discussion preceding this theorem we showed that √1 + α2 is an origami number whenever α is.
Totally real origami and impossible paper folding
Thus, the previously listed operations which produce origami numbers are the only independent operations which produce origami numbers.
Totally real origami and impossible paper folding
That is, we need to show that any origami number may be expressed using the usual ﬁeld operations and the operation x 7→ √1 + x2 .
Totally real origami and impossible paper folding
In practice it is still diﬃcult to decide whether or not a given number is an origami number.
Totally real origami and impossible paper folding
We will now begin the ﬁnal characterization of the origami numbers.
Totally real origami and impossible paper folding
This shows that any totally real number in F√x is an origami number.
Totally real origami and impossible paper folding
Montroll, “Origami for the Enthusiast,” Dover, 1979. [R] T.
Totally real origami and impossible paper folding
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