J-P Luminet et al. claim that a universe with the same shape as the twelve-sided polygon can explain measurements of the cosmic microwave background, the radiation left over from the big bang – that spaces with more mundane shapes cannot (2003, Nature, 425 - 593).
http://www.nature.com/nature/journal/v425/n6958/full/nature01944.html
.. I would not be surprised to see that something similar was already written in Fuller's "Synergetics" (I or II) as well... I have a copy of that issue of Nature (IMHO the covers are the best feature of that journal) and I remember that paper as well. I remember I had a follow up in my records and in fact you can find it at (http://dx.doi.org/10.1051/0004-6361:20077656). I think you could be interested in that one as well.
I would not be surprised to see that the authors in the end got it right.. When the article came out, I immediately thought about the analogy with the Brillouin zones (and the power o that tool)... and thus about a Universe quasi-lattice
Thank you Matteo for your answer. It is interesting to think that also Plato thought of an association between dodecahedron and universe ...
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