Here's something a little larger, based on a cube shape (on the left). 
It's a relatively dull shape, but having made one I discovered that you 
can pull out the edges and push in the corners, and it snaps back to a 
rigid shape (on the right). So I decided to try to create a model of 
this before breaking up the shape to make something more interesting.

The pair of equations I needed to solve to calculate the positions of 
the spheres looked rather ugly, so I wrote some pov code to find the 
solution numerically. The first solution it found corresponds to the 
middle object, which I failed to discover while playing with the 
physical model.

The texture for the silver metallic rods has been changed, so they now 
just render slowly (like the spheres) instead of horrendously slowly. 
They also look more like the real thing.

rendered at 2560x1440 in 17h 27m 11s, cropped to 2048x1152 then re-sized 
to 1024x576. I didn't bother with radiosity this time.

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