night I changed the SimIon model to use one electrode for the entire cage and
received much better agreement with the five fold symmetry. In the
previous model, each of the great circles was a separate electrode. I know
this was bone headed, as they are all at the same potential, but I won’t go into
the reasons why this came about. The extra bonus is that the field
calculation is about half as long. Only two electrodes, not 7. <heh>
I can be silly at times.
got some time and dug into simulating the beast with SimIon.
Click here to download the SimIon geometry
files. Why was this hard? Just figuring out the three
dimensional rotation matrices, that’s all. Tedious, as the SimIon
reference frame is a right handed, and the reference frame I had from my cad
system is left handed. Projection and a few sign changes later and I had
the icosidodecahedron cage modeled as an electrostatic potential array (shown on
the left). Click on the image for the
full size image. It’s the standard 3D isometric viewpoint of the
icosi-grid as modeled in SimIon.