![]() ![]() The special property of origami to fold into almost any shape renders their application in the design of metamaterials a conceptually promising direction in which advanced mechanical and physical properties can be configured based on the specific geometries a structure exhibits during the folding motion. An emerging direction to design mechanical metamaterials for new functionalities and complex behavior is in the application of origami. These properties can be controlled by changing the topology and geometry of the unit cell resulting in the purposeful design of cellular structures with advanced macroscopic mechanical and physical properties 1, 2, 3. The properties of mechanical metamaterials strongly depend on the spatial arrangement of their constituent base materials. Due to its versatility, the approach provides an inexhaustible source of foldable patterns to inspire the design of metamaterials for a wide range of applications. The versatility of the approach is demonstrated by its capability to not only generate, analyze and optimize regular origami patterns, but also generate and analyze kirigami, generic three-dimensional panel-hinge assemblages and their tessellations. ![]() We build on generalized conditions for rigid foldability of degree- n vertices to design origami patterns of arbitrary size and complexity. Here, we present a generalized approach for the algorithmic design of rigidly-foldable origami structures exhibiting a single kinematic degree of freedom. Although this makes origami a conceptually attractive source of inspiration when designing foldable structures and reconfigurable metamaterials for multiple functionalities, their designs are still based on a set of well-studied patterns leaving the full potential of origami inaccessible for design practitioners and researchers. Since I think it is an important element of my folding style.Origami, the ancient art of paper folding, embodies techniques for transforming a flat sheet of paper into shapes of arbitrary complexity. The model shown here is based around a 16×16 grid: actually it should use 16×18 since there are three rows of triangles,īut since the lowest two grid units are used for connecting to the next row of molecules, we can skip them when folding the last row.īased on pre-creasing this particular sheet, I wrote down a few notes on clean precreasing Since this tessellation lacks the vertical shift between molecules that Parallelograms have, it was much easier to collapse, and a clean precrease was possible.Įach triangle takes 8×6 grid units. ![]() This relation may be even more pronounced when comparing the back This origami tessellation is derived from my earlier Parallelograms Tessellation.īy piecing together two symmetric “halves” of a parallelogram, we end up with a triangle. Models with Pictures of Precreased Sheets, Showcase, Tessellation Examples Images are licensed under the Creative Commons Attribution-NonCommercial 4.0 International License Other folds and variants:Ībstract tessellation, abstract, geometric, pattern, abstract periodic tessellation, non-recursive periodic tessellation, periodic tessellation, tessellation) ![]() How I Precrease Paper for Tessellations This is the primary page for this model. ![]()
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