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The Miura fold is related to the Kresling fold, the Yoshimura fold and the Hexagonal fold, and can be framed as a generalization of these folds. [ 3 ] The Miura fold is a form of rigid origami , meaning that the fold can be carried out by a continuous motion in which, at each step, each parallelogram is completely flat.
The origami crane diagram, using the Yoshizawa–Randlett system. The Yoshizawa–Randlett system is a diagramming system used to describe the folds of origami models. Many origami books begin with a description of basic origami techniques which are used to construct the models.
Given two distinct points p 1 and p 2, there is a unique fold that passes through both of them. Given two distinct points p 1 and p 2, there is a unique fold that places p 1 onto p 2. Given two lines l 1 and l 2, there is a fold that places l 1 onto l 2. Given a point p 1 and a line l 1, there is a unique fold perpendicular to l 1 that passes ...
In origami design problems, the goal is to design an object that can be folded out of paper given a specific target configuration. In origami foldability problems, the goal is to fold something using the creases of an initial configuration. Results in origami design problems have been more accessible than in origami foldability problems. [3]
Geometric Origami is a book on the mathematics of paper folding, focusing on the ability to simulate and extend classical straightedge and compass constructions using origami. It was written by Austrian mathematician Robert Geretschläger [ de ] and published by Arbelos Publishing (Shipley, UK) in 2008.
Here we share our five simple steps to neatly fold a fitted sheet with elastic all around in under 60 seconds. All you'll need is your fitted sheet and a flat surface (like a table, a counter or ...
The book is organized into three sections, on linkages, origami, and polyhedra. [1] [2]Topics in the section on linkages include the Peaucellier–Lipkin linkage for converting rotary motion into linear motion, [4] Kempe's universality theorem that any algebraic curve can be traced out by a linkage, [1] [4] the existence of linkages for angle trisection, [1] and the carpenter's rule problem on ...
The lemma concerns the angles made by consecutive pairs of creases at a single vertex of the crease pattern. It states that if any one of these angles is a local minimum (that is, smaller than the two angles on either side of it), then exactly one of the two creases bounding the angle must be a mountain fold and exactly one must be a valley fold.