Old theories of the shape of our universe suggest the dodecahedron, as well:
"After the Demiurge had used the first four perfect bodies for the elements, says the Timaeus, he had the dodecahedron left over, and he used it for the frame of the whole. There is no need to go into the reasons, geometrical and numerological, which fitted the "sphere of twelve pentagons," as it was called, for the role. What counts here: it was the whole, the cosmos, that was meant."
de Santillana & von Dechend, Hamlet's Mill