Twistor and polytope interpretations for subleading color one-loop amplitudes

We use the relation of the one-loop subleading-color amplitudes to the one-loop n-point leading color amplitudes in N=4 SYM, to derive a polytope interpretation for the former in the MHV case, and a representation in momentum twistor space for the general NkMHV case. These techniques are explored in detail for the 5-point and 6-point amplitudes. We briefly discuss the implications for IR divergences.