Background• Origami: Japanese paper-folding. • Traditional form: Decorative abstract shapes & child’s craft
• Modern extension: a form of sculpture in which the primary means of creating the form consists of folding
• Most common version: a figure folded from one sheet of paper,usually a square, with no cuts.Traditional Origami • Japanese newspaper from 1734: Crane, boat, table, “yakko-san” • By 1734, it is already well-developed Modern Origami • The modern art form was reborn in the early 20th century through the efforts of a Japanese artist, Akira Yoshizawa, who created new figures of artistic beauty and developed a written instructional language. Origami today • “Black Forest Cuckoo Clock,” designed in 1987 • One sheet, no cuts • 216 steps – not including repeats • Several hours to fold Molecules • Crease patterns that collapse a polygon so that all edges lie on a single line are called “bun-shi,” or molecules (Meguro) • Different bun-shi are known from the origami literature. • Triangles have only one possible molecule. Quadrilateral molecules • There are two possible trees and several different molecules for a quadrilateral. • Beyond 4 sides, the possibilities grow rapidly.
Four is enough
• It is always possible to add flaps (circles) to a base so that the only polygons are triangles and quadrilaterals, so these molecules suffice.
Universal molecule • An algorithm that produces the crease pattern to collapse an arbitrary valid convex polygon into a base whose projection is a specified tree. A pentagonal UM Insetting Gusset formation Finished gussets Creases & Folded Form Universal Molecule 1 Universal Molecule 2
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