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Here is a very interesting design exercise -- tensegrity. A little background about tensegrity. Let me quote from the book "An Introduction to Tensegrity" by Anthony Pugh, University of California Press, Berkeley and Los Angeles, California.
The concept of tensegrity, in which tensile and compressive elements are carefully balanced to achieve structural integrity, permits the fabrication of curious structures, their rigid elements not touching, but suspended as if by magic, interlaced by a network of tendons.
R. Buckminster Fuller was the first to notice the structure in nature that used a balance of tension and compression, and that the compressive components were usually much heavier and bulkier than the tensile components. This is necessary because a tensile component need only be thick enough to take the imposed load, whereas a compressive component needs an additional thickness of material to prevent it from buckling.

So, here is the problem statment:

We had less than a month, May 12 - June 7, to understand, design, fabricate and document.

After study, some conceptual sketches, and prototyping, I decided to build the structure with 4 octahedra. Here is the final prototype constructed with dowels and rubber bands. I don't remember how I put them together, but I know it wasn't easy.
prototype built with dowels and rubber bands

You can see the top octahedron and the 2 front ones. One end of each of the bottom 3 octahedra forms a triangle and they are connected to the top octahedron, forming another triangle.

package prototype
This is the prototype of the packaging container.
package prototype

Now, I have the design, manufacturing poses another set of problems. There are 2 major problems to solve: one is to connect the 6 8"-tubes together to form a octahedra; another is to connect the 4 octahedra to complete the tensegrity structure.



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