We began by taking the pattern from the original origami structure and analyzed its modules. Additionally, we broke down the pattern of the fish-bone structure, determining the balance of peaks and valleys within the system. By meshing the modules of these two systems together we were able to create a new original module. Using the graph-mapper tool in grasshopper we manipulated the sizes of the modules to effect the form of the origami structure.
The basic concept behind our paper’s folding pattern is a rectangle bisected into two triangles, which are both again bisected. This produces a surface that is best designed for a specific form that will become structural when fixed to that shape.
These folding iterations are based off a cross-diagonal fold with inserted lateral and vertical folds that allow triangular modules to form. These create a structurally competent series of modules that can be strategized and fabricated in multiple ways.
Our documentation shows a “Plate” Iteration which is a field of modules on one plane which then can be folded and clipped to create a very stable and tessellated surface. In the “Strip” Iteration, the modules are arranged into a series of offset strips which are then clipped and connected together to create a flexible plane. The “Column/Compression” Iteration shows the strength of the module in compression, being secured as a column that can support a sizeable weight.
The last images show the 2D image of the folding pattern as well as the Grasshopper definition used to construct them. The definition allows skewing of the field of modules as well.
With our first folding tests, we mostly worked with printers and physical cuts, in lieu of constructing the grasshopper definition side by side, and limited experience with laser cutting. The pattern was based around a strip module which we replicated and offset to form a larger pattern. At first the sheet was quite resistant to folding, but then we realized we were pushing the wrong modules- by shifting our technique we realized the points marked in the image can converge to an almost touching position.
Laser cutting our grasshopper definition will tell us more than our physical models have been able to reveal, because we aren’t sure if some observed bending on the ridge folds is due to overworking the material, or is a problem which can by solved with additional folds
Shown are our final iterations for the ‘pleats, please’ project. The first pattern is a translation of a simple triangular fold. Because of the relationship of the mountain and valley pleats, the design allows for a complete collapse into a one-dimensional plane. The second folding pattern is a derivation of the first; the original triangles are copied and rotated around an axis and repeated. The nature of the second, more complex, pattern prevents its complete collapse, thus the form is only able to move from a single dimensional plane into the three-dimensional folding pattern.
Our final iterations were manipulations of what was a symmetrical module. Our grasshopper definition allowed us to adjust the module in both the x and y directions as well as adjusting the symmetry and positioning of the diagonal patterning.
jdschmid + arreo1a
Here is a collection of images displaying our final origami iteration, definition, and our grasshopper process. The final result seeks to emulate the random character of our initial variations rather than using a normative gradient of variability dependent on surface variation. Every triangle is a unique size and is dependent from a rationalized yet seemingly random base curve division.
**Final Iteration followed by Final Definition followed by Process Sequence
Thomas Shorey, Joel Piazza and Kegan Flanderka
//Tucker / Dave