Seen on geodesichelp, the google group.

Prime geodesic jitterbugging transformations, c/o Adrian Rossiter.

On Sat, 26 Dec 2009, TaffGoch wrote:
> I've seen, online, several animated GIF files of the
> octahedron-to-hexoctahedron "jitterbug," but haven't seen any animations of
> the icosahedron-to-icosidodecahedron transformation. According to Clinton's
> report, this structure has the greatest increase in volume, when "expanded."
> (The volume increases by a factor of 12.8) I tried my hand at constructing
> the rotational animation, using SketchUp to produce the "frames," and JASC
> "Animation Workshop" to stitch the frames together, to make an animated GIF.

I wrote a short script (included below) to recreate the animation
with a few more frames, although it may not be connected exactly
like yours (2.5Mb)

http://www.antiprism.com/misc/jit_icosid1.gif

If singly connected triangles aren't a problem then it can also
be made with a 5-fold axis (2.5Mb)

http://www.antiprism.com/misc/jit_icosid2.gif

Here are a few other jitterbug models. Two torus jitterbug's
which use "rubber" triangles; the second is a kaleidocycle
and can be made with rigid equilateral triangles throughout

http://www.antiprism.com/misc/tri_jit_tor1.gif
http://www.antiprism.com/misc/tri_jit_tor2.gif

Truncated cube jitterbugs

http://www.antiprism.com/misc/tr_cube_strs.gif
http://www.antiprism.com/misc/tr_cube_th_strs.gif

Here is video showing some physical models of antiprism-based
jitterbugs and tensegrities

http://www.youtube.com/watch?v=bvEj9UJGqzY

Adrian.
--

http://www.inhabitat.com/2009/10/05/largest-solar-powered-footbridge-opens-in-brisbane/

I have invented the quickest, slickest way to make tensegrities. I call it the Klyp Styx system (pronounced “clip sticks”). It is an easy way to clip sticks together in an eloquent, flexible, multiple joint. You can see them in action at the unfinished web site klypstyx.com.

Klyp Styx is great for modeling polyhedra, floating compressions, Buckyballs, nanotubes, octet trusses and other space frames, and opens the doors to exploring other interesting structures (both rigid and dynamic). Curious? Let me know - eric@klypstyx.com.

Eric, the byg klyp styx kyd

Dear Fellow members,

Futurelgass produces innovative contemporary glass furniture. We ahve produced a table range caled Tensegrity as this was a name suggested to us, and after learning more about Buckminster Fuller, found it appropriate.

Thought it might be of general interest, look forwad ot your comments.

Many thanks

Gareth Phillips
Futureglass

www.Futureglass.com

The Ingber laboratory is interested in the general mechanism of cell and developmental regulation: how cells respond to signals and coordinate their behaviors to produce tissues with specialized form and function. The specific focus is on control of angiogenesis and vascular development. Our approach has been driven by our hypothesis that the process of tissue construction may be regulated mechanically. We introduced the concept that living cells stabilize their internal cytoskeleton, and control their shape and mechanics, using an architectural system first described by Buckminster Fuller, known as tensegrity.

Tensegrity and Complex Systems Biology
Our approach to understanding cellular hardware is based on cellular tensegrity theory. Tensegrity is a building principle that was first described by the architect R. Buckminster Fuller and first visualized by the sculptor Kenneth Snelson. Fuller defines tensegrity systems as structures that stabilize their shape by continuous tension or "tensional integrity" rather than by continuous compression (e.g., as used in a stone arch).

The cellular tensegrity model proposes that the whole cell is a prestressed tensegrity structure, although geodesic structures are also found in the cell at smaller size scales (e.g. clathrin-coated vesicles, viral capsids).




Cellular Tensegrity Theory: Cells and tissues are organized as discrete network structures, and they use tensegrity architecture to mechanically stabilize themselves. In the cellular tensegrity theory, complex mechanical behaviors in cells and tissues emerge through establishment of a mechanical force balance between different molecular elements in the cytoskeleton and ECM that maintains the cell in a state of isometric tension.

» Click here to visit the Ingber Lab Website
» Click here to visit the Scientific American wbesite, download the article: The Architecture of Life