Platonic solids back in the sky: Icosahedral inflation
  We generalize the model of solid inflation to an anisotropic cosmic solid.
Barring fine tunings, the observed isotropy of the cosmological background and
of the scalar two-point function isolate the icosahedral group as the only
possible symmetry group of such a solid. In such a case, higher-point
correlation functions---starting with the three-point one---are naturally
maximally anisotropic, which makes the standard detection strategies highly
inefficient and calls for a dedicated analysis of CMB data. The tensor
two-point function can also be highly anisotropic, but only in the presence of
sizable higher-derivative couplings.
