Mr. Horibe (Horibe-San) just informed me a beautiful beaded structure he made with a single string! The address is here:
http://horibe.jp/JPGBOX/3540BOX/Beads3540_ss.htm.
BTW, he also made an animated sequence of the whole beading procedure using Javascript for this structure.
We can see how he managed to make each node sequentially along a Hamiltonian path on 12 vertices of a dodecahedron and a Hamiltonian path through each face within a node. It looks great!
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