Planar, polygonal region may be covered by a flat origami folded from a single square

Wrapped with a sufficiently large square sheet of paper. Another result is that any polyhedron may be Sheet of paper by a single straight cut, after appropriate folding (Demaine etĪl. General result states that any planar straight-line drawing may be cut out of one There are a number of recent very powerful results in origami mathematics. The traditional rules for geometric constructions. The Season 2 episode ' Judgment Call' (2006) of the television crime drama NUMB3RSįeatures Charlie discussing the types of folds in origami.Ĭube duplication and angle trisection can be solved using origami, although they cannot be solved using A 'mountain fold' is a fold in which a peak is formed, whereas a 'valley fold' is a fold forming a trough. To distinguish the two directions in which paper can be folded, the notations illustrated above are conventionally used in origami.

Modular polyhedral origami, together with an animatedĬrane constructed in the Wolfram Language Many mathematical shapes can also beĬonstructed, especially using modular origami.

To buildings to vegetables have been devised. Is an extremely rich art form, and constructions for thousands of objects, from dragons In modular origami, a number of individual 'units,' each foldedįrom a single sheet of paper, are combined to form a compound structure. In traditional origami, constructions are done using a single sheet of colored paper that is often, though not always, Origami is the Japanese art of paper folding.