jitterbug series

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.
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